tag:blogger.com,1999:blog-25415239964032690882024-03-17T00:17:22.753-07:00Mathematic " Trii_Wahyuni "Triwahyuni2595http://www.blogger.com/profile/12964625012619417882noreply@blogger.comBlogger108125tag:blogger.com,1999:blog-2541523996403269088.post-5842465598174407422015-06-25T21:34:00.000-07:002015-06-25T22:05:18.910-07:00Resensi Buku " ACUAN & TEKNIK PENILAIAN PROSES & HASIL BELAJAR dalam KURIKULUM 2013 "<div class="separator" style="clear: both; text-align: left;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhT1N7H5vhePQorQiJ_VbrwcMnu28S2ynbdQmK36tylnKFpuyn_FNVuJ4e20PMXsOli05F4-F8OZe9sgYVvAYBCaPxOMK86-q6007ezRcLIDMjnsPfsidg8UCpBiNzdf-oHb-NuJXQcsSXw/s1600/Untitled.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><span style="font-family: Times, Times New Roman, serif; font-size: large;"><img border="0" height="200" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhT1N7H5vhePQorQiJ_VbrwcMnu28S2ynbdQmK36tylnKFpuyn_FNVuJ4e20PMXsOli05F4-F8OZe9sgYVvAYBCaPxOMK86-q6007ezRcLIDMjnsPfsidg8UCpBiNzdf-oHb-NuJXQcsSXw/s200/Untitled.jpg" width="141" /></span></a></div>
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<b><span style="font-family: Times, Times New Roman, serif; font-size: large;">Identitas Buku</span></b></div>
<ul>
<li><span style="font-family: Times, Times New Roman, serif; font-size: large;">Judul Buku : Acuan & Teknik Penilaian Proses & Hasil Belajar dalam Kurikulum 2013</span></li>
<li><span style="font-family: Times, Times New Roman, serif; font-size: large;">Penulis : Dr. Kusaeri, M.Pd</span></li>
<li><span style="font-family: Times, Times New Roman, serif; font-size: large;">Penerbit : Ar-Ruzz Media</span></li>
<li><span style="font-family: Times, Times New Roman, serif; font-size: large;">Cetakan : 1, 2014</span></li>
<li><span style="font-family: Times, Times New Roman, serif; font-size: large;">Halaman : 220 hlm.</span></li>
<li><span style="font-family: Times, Times New Roman, serif; font-size: large;">Harga : Rp. 48.000,-</span></li>
</ul>
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<b><span style="font-family: Times, Times New Roman, serif; font-size: large;">Penulis </span></b></div>
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<b><span style="font-family: Times, Times New Roman, serif; font-size: large;"><br /></span></b></div>
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<span style="font-family: Times, Times New Roman, serif; font-size: large;">Dr. Kusaeri, M. Pd., lahir di kota Bojonegoro, Jawa Timur. Pada 07 Juni 1972. Alumnus Program Doktor Penelitian dan Evaluasi Pendidikan Universitas Negeri Yogyakarta (UNY) tahun 2012.</span></div>
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<span style="font-family: Times, Times New Roman, serif; font-size: large;">Beliau pernah mendapatkan beasiswa dari pemerintahan Australia untuk menjadi <i>visiting scholar </i>di University of Camberra, pada tahun 2007. selain itu, pada tahun 2010-2011 beliau juga mendapat kesempatan mendalami bidang evaluasi pendidikan matematika di Ohio State University, USA.</span></div>
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<span style="font-family: Times, Times New Roman, serif; font-size: large;"><br /></span></div>
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<b><span style="font-family: Times, Times New Roman, serif; font-size: large;">Pendahuluan</span></b></div>
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<b><span style="font-family: Times, Times New Roman, serif; font-size: large;"><br /></span></b></div>
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<span style="font-family: Times, Times New Roman, serif; font-size: large;"><b>Kurikulum</b> adalah rencana yang disusun untuk melancarkan proses belajar-mengajar. kerena itu kurikulum selalu mengalami perubahan untuk menyesuaikan ddengan kondisi proses belajar-mengajar yang baik agar peserta didik dapat menerima pelajaran dengan baik. Selain itu juga akan mengalami perubahan dalam proses penilaian. <span style="background-color: white; line-height: 18.3999996185303px; text-align: justify; text-indent: 18.8666667938232px;">Penilaian yang dilakukan oleh guru untuk memberikan informasi autentik, kontinu dan hasil belajar meliputi pengetahuan, keterampilan, sikap dan nilai-nilai. Melakukan penilaian autentik, bukanlah pekerjaan yang mudah bagi guru. selain itu juga dibutuhkan keterampilan yang andal tentang beragam teknik penilaian seperti tes tertulis, tes lisan, penilaian diri, jurnal, proyek, protofolio, penugasan dan penilaian kerja.</span></span></div>
<div style="text-align: left;">
<span style="font-family: Times, Times New Roman, serif; font-size: large;">Dengan hadirnya Buku Acuan & Teknik Penilaian Proses & Hasil Belajar dalam Kurikulum 2013 yang di tulis oleh Dr. Kusaeri, M.Pd., guna untuk menjawab kesulitan yang dialami guru tentang penilain autentik yang disertai dengan contoh aplikasinya, agar mepermudah guru dalam mengatasi kesulitan tersebut. </span></div>
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<span style="font-family: Times, Times New Roman, serif; font-size: large;"><br /></span></div>
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<b><span style="font-family: Times, Times New Roman, serif; font-size: large;">Sinopsis</span></b><br />
<b><span style="font-family: Times, Times New Roman, serif; font-size: large;"><br /></span></b></div>
<ul>
<li style="text-align: left;"><span style="font-family: Times, Times New Roman, serif; font-size: large;"><span style="background-color: white; line-height: 18.3999996185303px; text-align: justify; text-indent: -18.9333324432373px;">. </span><span style="background-color: white; line-height: 18.3999996185303px; text-align: justify; text-indent: -18.9333324432373px;"><u><b>Penilaian Pendidikan</b></u></span></span></li>
</ul>
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<span style="font-family: Times, Times New Roman, serif; font-size: large;">Pembelajaran dan penilaian merupakan bagian yang tidak bisa dipisahkan dalam kegiatan belajar-mengajar. Sebagai seorang guru harus mampu melakukan penilaian secara baik, dan dapat dipastikan pula ia memiliki kemampuan mengajar yang baik pula. Dan <span style="background-color: white; line-height: 18.3999996185303px; text-align: justify; text-indent: 18.8666667938232px;">guru sering dihadapkan mengambil keputusan yang penting terkait siswa seperti seorang siswa lulus ataukah tidak. Oleh karena itu, penilaian menjadi komponen utama dalam tugas dan pekerjaan guru.</span></span><br />
<span style="background-color: white; font-family: Times, Times New Roman, serif; font-size: large; line-height: 18.3999996185303px; text-align: justify; text-indent: 18.8666667938232px;"><br /></span></div>
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<ul>
<li style="text-align: left;"><span style="font-family: Times, Times New Roman, serif; font-size: large;"><span style="background-color: white; line-height: 18.3999996185303px; text-align: justify; text-indent: -18.9333324432373px;">. </span><span style="background-color: white; line-height: 18.3999996185303px; text-align: justify; text-indent: -18.9333324432373px;"><b><u>M</u></b></span><span style="background-color: white; line-height: 18.3999996185303px; text-align: justify; text-indent: -18.9333324432373px;"><u><b>erumuskan Tujuan Pembelajaran</b></u></span></span></li>
</ul>
<span style="font-family: Times, Times New Roman, serif; font-size: large;"><span style="line-height: 18.3999996185303px;">Pembahasan mengenai penilaian tidak dapat dipisahkan dari tujuan pembelajaran. penilaian yang baik diturunkan dari tujuan pembelajaran yang dirumuskan secara jelas. </span><span style="background-color: white; line-height: 18.3999996185303px; text-align: justify; text-indent: 18.8666667938232px;">Dengan tujuan pembelajaran yang spesifik dan jelas yang dirumuskan, semakin mudah guru untuk memilih teknik penilaian yang tepat.</span></span></div>
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<div style="text-align: left;">
<span style="font-family: Times, Times New Roman, serif; font-size: large;"><span style="background-color: white; line-height: 18.3999996185303px; text-align: justify; text-indent: 18.8666667938232px;">Dalam Kurikulum Tingkat Satuan Pendidikan (KTSP) dan Kurikulum 2013 (K-13), tujuan pembelajaran berupa KD dan indikator. Pada perumusan tujuan pembelajaran </span><span style="background-color: white; line-height: 18.3999996185303px; text-align: justify; text-indent: 18.8666667938232px;">terdapat pengklasifikasian (taksonomi) yang </span><span style="background-color: white; line-height: 18.3999996185303px; text-align: justify; text-indent: 18.8666667938232px;">bertitik tolak dari tingkah laku dan bersifat operasional.</span></span><br />
<span style="background-color: white; font-family: Times, Times New Roman, serif; font-size: large; line-height: 18.3999996185303px; text-align: justify; text-indent: 18.8666667938232px;"><br /></span></div>
</div>
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<ul>
<li style="text-align: left;"><span style="font-family: Times, Times New Roman, serif; font-size: large;"><span style="background-color: white; line-height: 18.3999996185303px; text-align: justify; text-indent: -18.9333324432373px;">. </span><span style="background-color: white; line-height: 18.3999996185303px; text-align: justify; text-indent: -18.9333324432373px;"><b><u>Validitas dan Reliabilitas </u></b></span></span></li>
</ul>
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<span style="font-family: Times, Times New Roman, serif; font-size: large;">Pada penilaian dibutuhkan instrumen penilaian yang bermutu, yaitu <i>valid, reliabel, </i>dan<i> usabel. </i><span style="background-color: white; line-height: 18.3999996185303px; text-align: justify; text-indent: 18.8666667938232px;">Instrumen penilaian menyajikan informasi yang tepat tetang kemampuan kondisi anak harus dinilai dengan validitas penilaian.</span></span><br />
<div style="text-align: left;">
<span style="background-color: white; font-family: Times, Times New Roman, serif; font-size: large; line-height: 18.3999996185303px; text-align: justify; text-indent: 18.8666667938232px;">Dalam konteks penilaian, penilaian yang reliabel sangat diperlukan namun belum cukup untuk mendapatkan hasil yang valid, dan masih memerlukan syarat lain yang harus dipenuhi agar penilaian tersebut valid. penilaian yang valid dapat dipastikan akan memberi hasil yang reliabel.</span></div>
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<span style="font-family: Times, Times New Roman, serif; font-size: large;"><span style="background-color: white; line-height: 18.3999996185303px; text-align: justify; text-indent: 18.8666667938232px;"><br /></span>
</span></div>
<ul>
<li style="text-align: left;"><span style="font-family: Times, Times New Roman, serif; font-size: large;"><span style="background-color: white; line-height: 18.3999996185303px; text-align: justify; text-indent: -18.9333324432373px;">. </span><span style="background-color: white; line-height: 18.3999996185303px; text-align: justify; text-indent: -18.9333324432373px;"><b><u>Penilaian Tes Tulis Bentuk Pilihan</u></b></span></span></li>
</ul>
<span style="font-family: Times, Times New Roman, serif; font-size: large;"><span style="line-height: 18.3999996185303px;">Tes tulis merupakan seperangkat pertanyaan tugas dalam bentuk tulisan yang direncanakan untuk memperoleh informasi tentang kemampuan peserta didik. Pada </span><span style="background-color: white; line-height: 18.3999996185303px; text-align: justify; text-indent: 18.8666667938232px;">Tes tulis untuk peserta didik terdapat dua bentuk yaitu bentuk pilihan dan bentuk uraian. Dalam bentuk pilihan terdiri kunci jawaban dan pengecoh. </span></span><br />
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<span style="background-color: white; font-family: Times, Times New Roman, serif; font-size: large; line-height: 18.3999996185303px; text-align: justify; text-indent: 18.8666667938232px;"><br /></span></div>
</div>
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<li style="text-align: left;"><span style="font-family: Times, Times New Roman, serif; font-size: large;"><span style="background-color: white; line-height: 18.3999996185303px; text-align: justify; text-indent: -18.9333324432373px;">. </span><span style="background-color: white; line-height: 18.3999996185303px; text-align: justify; text-indent: -18.9333324432373px;"><b><u>Penilaian Tes Tulis Bentuk Uraian</u></b></span></span></li>
</ul>
<span style="font-family: Times, Times New Roman, serif; font-size: large;"><span style="line-height: 18.3999996185303px;">Tes tulis bentuk uraian yaitu suatu tes yang jawabannya menuntut siswa mengingat dan mengorganisasikan gagasan atau hal-hal yang telah dipelajari. Pada tes tulis bntuk uraian ini t</span><span style="background-color: white; line-height: 18.3999996185303px; text-align: justify; text-indent: 18.8666667938232px;">erdapat dua klasifikasi bentuk uraian yaitu uraian ojektif dan non-objektif.</span></span></div>
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<span style="background-color: white; font-family: Times, Times New Roman, serif; font-size: large; line-height: 18.3999996185303px; text-align: justify; text-indent: 18.8666667938232px;"><br /></span></div>
</div>
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<ul>
<li style="text-align: left;"><span style="font-family: Times, Times New Roman, serif; font-size: large;"><span style="background-color: white; line-height: 18.3999996185303px; text-align: justify; text-indent: -18.9333324432373px;">. </span><span style="background-color: white; line-height: 18.3999996185303px; text-align: justify; text-indent: -18.9333324432373px;"><b><u>Analisis Butir Soal</u></b></span></span></li>
</ul>
<span style="font-family: Times, Times New Roman, serif; font-size: large;"><span style="line-height: 18.3999996185303px;">Kegiatan penting dalam pengembangan tes agar diperoleh soal yang bermutu maka diperlukan Analisis butir soal pada tes. agar bertujuan untuk meningkatkan kualitas butir soal melalui kegiatan revisi soal. Pada a</span><span style="background-color: white; line-height: 18.3999996185303px; text-align: justify; text-indent: 18.8666667938232px;">nalisis soal dapat dilakukan secara kualitatif (berkaitan dengan isi dan bentuk) dan kuantitatif (berkaitan dengan cirri-ciri statistik).</span></span></div>
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<span style="background-color: white; font-family: Times, Times New Roman, serif; font-size: large; line-height: 18.3999996185303px; text-align: justify; text-indent: 18.8666667938232px;"><br /></span></div>
</div>
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<ul>
<li style="text-align: left;"><span style="font-family: Times, Times New Roman, serif; font-size: large;"><span style="background-color: white; line-height: 18.3999996185303px; text-align: justify; text-indent: -18.9333324432373px;">. </span><span style="background-color: white; line-height: 18.3999996185303px; text-align: justify; text-indent: -18.9333324432373px;"><b><u>Teknik-Teknik Penilaian</u></b></span></span></li>
</ul>
<span style="font-family: Times, Times New Roman, serif; font-size: large; line-height: 18.3999996185303px;">Agar guru memiliki keterampilan dalam penilaian Autentik maka diperlukan teknik-teknik dalam penilain. teknik-teknik dalam penilain terdapat beberapa macam, antaranya :</span></div>
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<ol>
<li><span style="font-family: Times, Times New Roman, serif; font-size: large;"><span style="line-height: 18.3999996185303px;"><b>Teknik penilaian portofolio.</b> </span><span style="line-height: 18.3999996185303px;">Teknik penilaian berkelanjutan yang didasarkan pada kumpulan informasi yang menunjukkan perkembangan siswa dalam satu periode tertentu. informasi tesebut berupah karya siswa atau hasil ulangan dari proses pembelaajaran siswa yang dianggap tebaik oleh siswa.</span></span></li>
<li><span style="font-family: Times, Times New Roman, serif; font-size: large; line-height: 18.3999996185303px;"><b>Teknik Penilaian Kinerja. </b>Suatu penilaian yang meminta siswa mendemonstrasikan tugas tertentu guna mengaplikasikan pengetahuan dan keterampilan yang dimilikinya. tugas yang diberikan biasanya terkait dengan praktik kehidupan sehari hari.</span></li>
<li><span style="font-family: Times, Times New Roman, serif; font-size: large;"><span style="line-height: 18.3999996185303px;"><b>Teknik Penilaian Proyek. </b>Kegiatan P</span><span style="background-color: white; line-height: 18.3999996185303px; text-align: justify; text-indent: 18.8666667938232px;">enilaian tugas yang diselesaikan seorang atau sekelompok siswa dalam waktu tertentu.</span></span></li>
<li style="text-align: left;"><span style="background-color: white; font-family: Times, Times New Roman, serif; font-size: large; line-height: 18.3999996185303px; text-align: justify; text-indent: 18.8666667938232px;"><b>Teknik Penilaian Diri. </b>pada penilaian ini guru melibatkan siswa dalam penilaian agar siswa diharapkan dapat melihat perkembangan hasil belajarnya.</span></li>
<li style="text-align: left;"><span style="background-color: white; font-family: Times, Times New Roman, serif; font-size: large; line-height: 18.3999996185303px; text-align: justify; text-indent: 18.8666667938232px;"><b>Teknik Penilaian Jurnal. </b>Pada penilian jurnal ini digunakan untuk memahami siswa secara lebih tepat dengan mencatat kejadian atau peristiwa yang dialaminya. namun pada penilaian ini memerlukan waktu yang sangat banyak.</span></li>
<li style="text-align: left;"><span style="background-color: white; font-family: Times, Times New Roman, serif; font-size: large; line-height: 18.3999996185303px; text-align: justify; text-indent: 18.8666667938232px;"><b>Teknik Penilaian Tes Lisan dan Penugasan. </b>tes lisan yaitu tes yang menuntut siswa memberi jawaban secara lisan. jawabannya berupa kata, fase, kalimat ataupun paragraf yang diucapkan. Sedangkan, Penugasan adalah penilaian yang dilakukan oleh guru berupa pekerjaan rumah atau proyek yang harus diselesaikan oleh siswa. jenis tugas yang diberika salah satunya yaitu tugas membuat rangkuman.</span></li>
</ol>
<span style="font-family: Times, Times New Roman, serif; font-size: large; line-height: 18.3999996185303px;"><b>Kelebihan</b></span></div>
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<span style="font-family: Times, Times New Roman, serif; font-size: large;"><br /></span></div>
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<span style="font-family: Times, Times New Roman, serif; font-size: large;"><b>* </b>Setiap pembahasan dalam buku ini sangat terperinci sehingga mudah dipahami</span></div>
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<span style="font-family: Times, Times New Roman, serif; font-size: large;">* Setiap pembahasannya terdapat contoh-contoh yang dapat dimengerti</span></div>
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<span style="font-family: Times, Times New Roman, serif; font-size: large;">* Pembahsannya tak hanya terfokus pada penilaiannya saja melainkan juga teknik penilannya.</span></div>
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<span style="font-family: Times, Times New Roman, serif; font-size: large;">* Setiap bab terdapat soal-soal pertanyaan untuk Latihan</span></div>
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<span style="font-family: Times, Times New Roman, serif; font-size: large;"><br /></span></div>
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<b><span style="font-family: Times, Times New Roman, serif; font-size: large;">Kelemahan</span></b></div>
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<b><span style="font-family: Times, Times New Roman, serif; font-size: large;"><br /></span></b></div>
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<span style="font-family: Times, Times New Roman, serif; font-size: large;">* Bahasa yang digunakan dalam buku ini terlalu tinggi sehingga pembaca harus berfikir telebih dulu.</span></div>
<div>
<span style="font-family: Times, Times New Roman, serif; font-size: large;">* Terdapat b<span style="background-color: white; color: #181b20; line-height: 24px;">eberapa kata yang sulit dimengerti dan tidak terdapat pada bagian indeks.</span></span></div>
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<span style="background-color: white; color: #181b20; font-family: Times, Times New Roman, serif; font-size: large; line-height: 24px;"><b><br /></b></span></div>
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<span style="background-color: white; color: #181b20; font-family: Times, Times New Roman, serif; font-size: large; line-height: 24px;"><b>Saran</b></span></div>
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<span style="background-color: white; color: #181b20; font-family: Times, Times New Roman, serif; font-size: large; line-height: 24px;">Hendaknya bahasa dalam buku ini komunikatif agar pembaca tidak terlalu berfikir ekstra untuk memahaminya.</span></div>
Triwahyuni2595http://www.blogger.com/profile/12964625012619417882noreply@blogger.com0tag:blogger.com,1999:blog-2541523996403269088.post-10081003014024157142015-01-02T00:55:00.002-08:002015-01-03T06:37:45.399-08:00LINGKARAN SMP FLASH<div style="background-color: white; color: #555555; font-family: Arial, Helvetica, sans-serif; font-size: 11.8181819915771px; line-height: 20px;">
Lingkaran adalah kumpulan titik-titik yang membentuk lengkungan tertutup, dimana titik-titik pada lengkungan tersebut berjarak sama terhadap suatu titik tertentu.</div>
<div style="background-color: white; color: #555555; font-family: Arial, Helvetica, sans-serif; font-size: 12px; line-height: 20px;">
Untuk Lebih jelasnya Kunjugi Link berikut:</div>
<div style="background-color: white; color: #555555; font-family: Arial, Helvetica, sans-serif; font-size: 12px; line-height: 20px; text-align: center;">
<a href="http://www.arimbialkansiban.co.vu/">Download Disini</a></div>
Triwahyuni2595http://www.blogger.com/profile/12964625012619417882noreply@blogger.com0tag:blogger.com,1999:blog-2541523996403269088.post-56212114571155333522015-01-02T00:54:00.001-08:002015-01-03T06:38:03.117-08:00LINGKARAN SMA FLASHLingkaran adalah himpunan titik-titik pada bidang datar yang berjarak sama terhadap satu titik tetap. Titik tetap itu disebut pusat lingkaran dan jarak tetap disebut jari-jari lingkaran.<br />
Persamaan Lingkaran<br />
a. Persamaan Lingkaran Dengan Pusat O(0,0)<br />
Jika titik A(xA,yA) terletak pada lingkaran yang berpusat di O, maka berlaku OA= jari-jari lingkaran. Dengan menggunakan rumus jarak titik O(0,0) ke titik A(xA,yA)<br />
diperoleh:<br />
OA= r√(XA - 0)2 + (YA – 0 )2 = r2<br />
xA2 + yA2 = r2<br />
maka, persamaan lingkaran dengan pusat O(0,0) dan jari-jari r adalah :<br />
X2 + Y2 = r2<br />
<br />
<div>
<div style="background-color: white; color: #555555; font-family: Arial, Helvetica, sans-serif; font-size: 12px; line-height: 20px;">
<div style="font-size: 11.8181819915771px;">
Agar mengetahui Lebih Lengkapnya Lagi Tentang Materi Prisma dan Limas PAda Media Flash Maka kunjungi Link berikut</div>
<div style="font-size: 11.8181819915771px;">
<br /></div>
<div style="font-size: 11.8181819915771px; text-align: center;">
<a href="http://www.arimbialkansiban.co.vu/">Download Disini</a></div>
</div>
</div>
Triwahyuni2595http://www.blogger.com/profile/12964625012619417882noreply@blogger.com7tag:blogger.com,1999:blog-2541523996403269088.post-2704593813741720262015-01-01T21:09:00.001-08:002015-01-02T06:13:29.983-08:00DAFTAR MATERI KELAS XII<br />
<ol>
<li><a href="http://www.triwahyuni2595.co.vu/2015/01/barisan-dan-deret_1.html">Barisan dan Deret</a></li>
<li><a href="http://www.triwahyuni2595.co.vu/2015/01/vektor.html">Vektor</a></li>
<li><a href="http://www.triwahyuni2595.co.vu/2015/01/transformasi-geometri.html">Transformasi Geometri</a></li>
</ol>
Triwahyuni2595http://www.blogger.com/profile/12964625012619417882noreply@blogger.com1tag:blogger.com,1999:blog-2541523996403269088.post-43158129796042489072015-01-01T21:06:00.001-08:002015-01-01T21:06:29.967-08:00TRANSFORMASI GEOMETRI<span style="background-color: white; font-family: Arial, Helvetica, sans-serif; font-size: 12px; font-weight: bold; line-height: 20px;">1. Pengertian Transformasi</span><br />
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<span style="background-color: white;"><span lang="IN">Transformasi T dibidang adalah suatu pemetaan titik pada suatu bidang ke himpunan titik pada bidang yang sama. </span><span lang="IN">Jenis-jenis transformasi yang dapat dilakukan antara lain :</span></span><br />
<ol start="1" style="margin: 0in 20px 0in 0px; padding-left: 40px;" type="a">
<li class="MsoNormal" style="font-family: 'Times New Roman', serif; font-size: 12pt; line-height: 24px; margin: 0in 0in 0.0001pt; text-align: justify;"><span lang="IN" style="background-color: white;">Translasi (Pergeseran)</span></li>
<li class="MsoNormal" style="font-family: 'Times New Roman', serif; font-size: 12pt; line-height: 24px; margin: 0in 0in 0.0001pt; text-align: justify;"><span lang="IN" style="background-color: white;">Refleksi (Pencerminan)</span></li>
<li class="MsoNormal" style="font-family: 'Times New Roman', serif; font-size: 12pt; line-height: 24px; margin: 0in 0in 0.0001pt; text-align: justify;"><span lang="IN" style="background-color: white;">Rotasi (Perputaran)</span></li>
<li class="MsoNormal" style="font-family: 'Times New Roman', serif; font-size: 12pt; line-height: 24px; margin: 0in 0in 0.0001pt; text-align: justify;"><span lang="IN" style="background-color: white;">Dilatasi (Perkalian)</span></li>
</ol>
<span style="background-color: white;"><br /><span style="font-weight: bold;">2. Translasi dan Operasinya</span><span lang="IN"><br />Translasi (pergeseran) adalah pemindahan suatu objek sepanjang garis lurus dengan arah dan jarak tertentu.</span><br />Jika translasi <img alt="" border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgqj9loeDL1ZS6B8kjaU5uPctoDOaKH4yF5e7-9blD3VUM7J35ryIeuhBYfdz3yME8tgE1vOatNBFqkbfwdcs1Njrmz9M8n-NRxitT2VOFwlyHouo0RnR7jSZHRmL6GDtt3ECVyUy5VTavI/s320/1.PNG" id="BLOGGER_PHOTO_ID_5433540962153483986" style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border: none; height: 56px; padding: 0px; width: 67px;" /> memetakan <span lang="IN">titik P (x, y) ke titik P’(x’, y’) maka x’ = x + a dan y’ = y + b atay P’ (x + a, y + b ) ditulis dalam bentuk :</span><br /><br /><img alt="" border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjfoyKfS4P5234IAVg9mfjogkJAWInpu5sFgKipPxGpgA7NV9oow4NsmMclsRI6j8QzJnARevXRlp-zIvHUbVVbGakoe9hP4bGtqOTshhha6pBXgPA9kvuatrXFUg1v1ILps6tslNwVxbkK/s320/2.PNG" id="BLOGGER_PHOTO_ID_5433541182311340578" style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border: none; height: 70px; padding: 0px; width: 260px;" /> </span><br />
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<span style="background-color: white;"><br /><span lang="IN"><span style="font-weight: bold;">3. Refleksi (Pencerminan)</span></span></span></div>
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<span style="background-color: white;">a. Pencerminan terhadap sumbu x</span></div>
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi5iG0sbGVCR4ayhk3VHsRmMtB6-CwNeD9oV0wBtsMIZf_GEOD7Fj-SDnUHS_J_fU_3C7zpwPnF26B6jUAEHqb2taWx9ogzuPIhCkygaaMmFfduOI6Wvgfe4PiPb9gUZMyD7E5uQm1Xk0Hz/s1600-h/4.PNG" style="background-color: white; outline: none;"><span style="color: black;"><img alt="" border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi5iG0sbGVCR4ayhk3VHsRmMtB6-CwNeD9oV0wBtsMIZf_GEOD7Fj-SDnUHS_J_fU_3C7zpwPnF26B6jUAEHqb2taWx9ogzuPIhCkygaaMmFfduOI6Wvgfe4PiPb9gUZMyD7E5uQm1Xk0Hz/s320/4.PNG" id="BLOGGER_PHOTO_ID_5433549706230850562" style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border: none; cursor: pointer; height: 54px; padding: 0px; width: 200px;" /></span></a></div>
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<span style="background-color: white;">Matriks percerminan :</span></div>
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<span style="color: black;"><img alt="" border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjjo72_fkKdiZ9A8IImyIYhnPwh1VRUqVV_r3GMPbqVm0OuVqjjOot8aLoUGvX0F0TQV0b4o0F-FThWpp6m1uG29lHLQS681J1Qf1y4ErWaU3qMyaYpog1fHrRMEElZun8_3Ygt8CV71Uky/s320/5.PNG" id="BLOGGER_PHOTO_ID_5433549874070632050" style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border: none; height: 68px; padding: 0px; width: 299px;" /></span></div>
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<span style="background-color: white;">b. <span lang="IN">Pencerminan Terhadap sumbu y</span></span></div>
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiV6eFvfiMYAgALnm6cue9nU0R4kIw3mthBTf7tlEqbqo1x3rhNl1ywh5N2-M1jdKZJx31grxqQ2sIB76dc6QLDglsCfDXQzFFuGX9KUae-4SFBOmT3Pf1BCfA-y4ombfzEtlPHcIEQ2Rk8/s1600-h/6.PNG" style="background-color: white; outline: none;"><span style="color: black;"><img alt="" border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiV6eFvfiMYAgALnm6cue9nU0R4kIw3mthBTf7tlEqbqo1x3rhNl1ywh5N2-M1jdKZJx31grxqQ2sIB76dc6QLDglsCfDXQzFFuGX9KUae-4SFBOmT3Pf1BCfA-y4ombfzEtlPHcIEQ2Rk8/s320/6.PNG" id="BLOGGER_PHOTO_ID_5433550134396831874" style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border: none; cursor: pointer; height: 40px; padding: 0px; width: 196px;" /></span></a></div>
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<span style="background-color: white;">Matriks Pencerminan:</span></div>
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<span style="background-color: white;"><img alt="" border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjwlfiXujQaU0NM32riKbtg0JtSxza8J8ownZyZ9wopMetPVTdFWEX28fgmpIuvcp3D0DGFYHSbL6L1yhLohTxVTFw_ReLiPc0ls2MnuEEcLAMG8hecysGB_5T0qNbmcNPQfm-mj0mfK2T5/s320/7.PNG" id="BLOGGER_PHOTO_ID_5433550308540852594" style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border: none; height: 71px; padding: 0px; width: 297px;" /><br /><span lang="IN"></span></span></div>
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<span style="background-color: white;">c. <span lang="IN">Pencerminan terhadap garis y = x</span></span></div>
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<span style="color: black;"><img alt="" border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgEQHbcONY73BL62pkrHxf9wUjBT7XWp-1y-53OkNepHKQqZPqL1YVqgY1tQ3TNuEmOwCTYT5Q2l0ql0BNF314fABXNmyJvAQIWv_Lo-n9pVUlAAgi9H_SatRozfumWoWtixF2WqyVe0tZy/s320/8.PNG" id="BLOGGER_PHOTO_ID_5433550595569794882" style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border: none; height: 47px; padding: 0px; width: 181px;" /></span></div>
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<span style="background-color: white;">Matriks Pencerminan<img alt="" border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgFoPUIn1xlwsjx_FINiiAqgwArQJMWuSMRCA81PMXNb2K8hqxmKWn7Kw2S8S6-9x9EIF5b1VT6j2BFbu8m43yXL4LPbX4RDgvDoWQXgDtV7rdappc8uuL4SCcS9-qRdo7-15V65HTBohOv/s320/9.PNG" id="BLOGGER_PHOTO_ID_5433550825283516066" style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border: none; height: 61px; padding: 0px; width: 292px;" /><br /><span lang="IN"></span></span></div>
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</div>
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<span style="background-color: white;"><span lang="IN">d. </span><span lang="IN">Pencerminan terhadap garis y = -x</span></span></div>
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<span style="color: black;"><img alt="" border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhHexOElDgQaA1rg1_-yd6_PPr1JqXfrceyhBRdPd8A4wFlx4kj1Eikv_x__glly9aldnIBVRFj1e0BjcrpLZIucH8GStIQSS87z_PW3nHCCY681vf7AD1NONGTx0tGlMnXJ82jbuJ8_Tfi/s320/10.PNG" id="BLOGGER_PHOTO_ID_5433551253994871314" style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border: none; height: 53px; padding: 0px; width: 179px;" /></span></div>
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<span style="background-color: white;">Matriks Pencerminan:<br /><span lang="IN"></span></span></div>
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<span style="color: black;"><img alt="" border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhwdThvFAQEJ4ky9TCgdlY7VjwVN5f-kS1tx96RXY2RANd9EULIqB-Lwa6_quwsEXdJwIFbNdr7Z9hZevzM8fLyUfLHwYDBYPEx1JCdxrbj2GWlPzlszN2PbzHiQOs7xtC7OhD4pdz9fzaj/s320/11.PNG" id="BLOGGER_PHOTO_ID_5433551363125821218" style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border: none; height: 70px; padding: 0px; width: 318px;" /></span></div>
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<span style="background-color: white;">e. <span lang="IN">Pencerminan terhadap garis x = h</span></span></div>
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<span style="color: black;"><img alt="" border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEizzHu0zWb6YbmgNzexl0_dkNuwZDRG0BUYnFz7kDcZ2Y8rw9TCSsF2TMiwkjGqJ_FJ6r5Cl1au3OMV1bDIL2e-b8pGp9XeqabSyp6LATA2_sGMNp-lb4aCfFZi6-J_s9w1BGEplHJZoAPV/s320/13.PNG" id="BLOGGER_PHOTO_ID_5433552272443176114" style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border: none; height: 46px; padding: 0px; width: 198px;" /></span></div>
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<span style="background-color: white;">Matriks Pencerminan: <img alt="" border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgbxU4tYm6MnZJcZNwyE-Skp-7Fp0f7x3o1lT_5RtyCLv9IVTQmmuF6u5aAoNcVR041zt5jy1QBFYi2UH_Vj0CEA9wbeppC0HR_NeqTk1qK8zWgoVSB-DOSUGXWK5x2ACpCZ1CvYvB15bDZ/s320/14.PNG" id="BLOGGER_PHOTO_ID_5433552482761885522" style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border: none; height: 58px; padding: 0px; width: 183px;" /></span></div>
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<span style="background-color: white;">Sehingga:</span></div>
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<span style="color: black;"><img alt="" border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgkvbTuoXrsFzXkJxP2G0nMaSuioOonh50ReE8E-2FRue_tGT8yoPM2nOJ7QDfxlr1igfkeeEiDf_SqWnEowbH-LIoo8gDK5fypk4QzZ1bvl21eqAIrowNJPmK_t4mHSjYdIKHSV3futnSL/s320/15.PNG" id="BLOGGER_PHOTO_ID_5433552656532583890" style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border: none; height: 69px; padding: 0px; width: 181px;" /></span></div>
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</div>
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<span style="background-color: white;">f. <span lang="IN">Pencerminan terhadap garis y=k</span></span></div>
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<span style="color: black;"><img alt="" border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiN7xxRmE9yjnD9iXQGV1103-AZSbH9PgumhkxCS4hyphenhyphennfKxgLXRXrz19E_oM8CFGfa-ylsOe9ew8VtJ82FTXOyIoQWdDlyqlDu9X5dq9kzr-FJVhjr46ZMUUMAOBVvIsm_kIm4BpwchnXBf/s320/16.PNG" id="BLOGGER_PHOTO_ID_5433553072833886530" style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border: none; height: 43px; padding: 0px; width: 201px;" /></span></div>
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<span style="background-color: white;">Matriks Pencerminan : <img alt="" border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh-TOTDdC_ghj_HycmBMVVcsdghsYdgJ8FeUqN8vkxfcuG_AAVxGUWkahgf526B4YwAj9Nerjzu44Om7mw9TAlUALcAZf3p0YMcClcSMUSsOKCe2iT2ze2YHkxWRS2CwKJoXzuuF9JS0Txn/s320/a.PNG" id="BLOGGER_PHOTO_ID_5433554144003429858" style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border: none; height: 62px; padding: 0px; width: 179px;" /></span></div>
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<span style="background-color: white;">Sehingga:</span></div>
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<span style="background-color: white;"><img alt="" border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh6yhi4M112cRGLEPAmZFaHi2vkcAS90lkjxPz5tymRNvKiVkyzhSSDB6le4C0Dg71hUxCNH6PdBXtjhONSbiaHk5BDoEatIxGXCOPtciaWVE5Ulya6w8ViWD1Gs0FJIRI8ZHMiZAqW8KVp/s320/b.PNG" id="BLOGGER_PHOTO_ID_5433554299618293426" style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border: none; height: 62px; padding: 0px; width: 188px;" /><br /><span lang="IN"></span></span></div>
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<span style="background-color: white;"><br /><span lang="IN"></span></span></div>
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<span style="background-color: white;">g. <span lang="IN">Pencerminan terhadap titik asal O (0, 0)</span></span></div>
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<span style="color: black;"><img alt="" border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj3E2KejKuQp0TSX61FucT9IKyROPoeAp-q1nFcsKinQfqvk9vkTRG54Uf1V3OdltK2T3fGQsdNxIreg4eFfwt72Yzx4nQQo31WW5aplTQjiTGOqLNLPmCMJsLh4HkvlGbqY_dPxaZZODmL/s320/c.PNG" id="BLOGGER_PHOTO_ID_5433554702536273154" style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border: none; height: 41px; padding: 0px; width: 193px;" /></span></div>
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<span style="background-color: white;">Matriks Pencerminan : <img alt="" border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjzjy8JGTmUjcQ8441GoG5IOBDTgx8k77wh21Quu7PMAz9-uLd0N0HPkWNtVmTYNEKm6CDV4m_bHQSEX1EcIwHZ1jBpurDUHHjXcwTg92dZLgS-Y-gx9GgGDhIApwZFWEc_DUePUThe6-0S/s320/17.PNG" id="BLOGGER_PHOTO_ID_5433553482833007122" style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border: none; height: 44px; padding: 0px; width: 136px;" /></span></div>
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<span style="background-color: white;">Sehingga:</span></div>
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<span style="color: black;"><img alt="" border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEixwpp0L7CQaAuFWuQALimC5dolWpE2gFtrV3ET1wK5Jo7_0xyRq7Zj6OclPmyutl-ty7w9C1ekjIgsbSAvrnliQyulAvHxsAgRsD_OAQIbjHGcP8iCBHUOuDsIRZx1D1Yp54a29wOD9YPZ/s320/18.PNG" id="BLOGGER_PHOTO_ID_5433553667985042978" style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border: none; height: 73px; padding: 0px; width: 149px;" /></span></div>
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</div>
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<span style="background-color: white;">h. <span lang="IN">Pencerminan terhadap garis y = mx dimana m = tan </span><span lang="IN" style="font-family: Symbol;">q</span><span lang="IN"></span></span></div>
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<span style="color: black;"><img alt="" border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi_k9LBTeLEaZjkmgIx07ery_YJUqW9JrAwoJo481_RFKDFvZX0BFsabFs5ihsgv-oczBOo-LLwJKWULQ9SVblyoSDS1ZkasDmjcnL7z-r5hMs8TNLTf1iOyE38dsK9EDIPhGnksF88xAv7/s320/19.PNG" id="BLOGGER_PHOTO_ID_5433555596200091538" style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border: none; height: 69px; padding: 0px; width: 288px;" /></span></div>
</div>
Triwahyuni2595http://www.blogger.com/profile/12964625012619417882noreply@blogger.com8tag:blogger.com,1999:blog-2541523996403269088.post-64085709163831844572015-01-01T21:05:00.003-08:002015-01-01T21:05:49.774-08:00VEKTOR<b style="color: #474747; font-family: Arial, Verdana; line-height: 20px; text-align: justify;">Vektor </b><span style="color: #474747; font-family: Arial, Verdana; line-height: 20px; text-align: justify;">adalah besaran yang mempunyai besar dan arah.</span><br />
<div style="text-align: justify;">
<span style="color: #474747; font-family: Arial, Verdana;"><span style="line-height: 20px;">Beberapa pengertian vektor : </span></span></div>
<div style="text-align: justify;">
<span style="color: #474747; font-family: Arial, Verdana;"><span style="line-height: 20px;"></span></span></div>
<div style="text-align: justify;">
</div>
<ol>
<li><span style="color: #474747; font-family: Arial, Verdana; line-height: 20px;">Vektor posisi adalah suatu vektor yang titik awalnya di 0. </span></li>
<li><span style="color: #474747; font-family: Arial, Verdana;"><span style="line-height: 20px;">Vektor satuan adalah suatu vektor panjangnya satu</span></span></li>
<li><span style="color: #474747; font-family: Arial, Verdana;"><span style="line-height: 20px;">Vektor posisi adalah suatu vektor yang titik awalnya di 0.</span></span></li>
</ol>
<span style="color: #474747; font-family: Arial, Verdana;"><span style="line-height: 20px;">Operasi Vektor </span></span><br />
<div style="text-align: justify;">
</div>
<ol>
<li><span style="color: #474747; font-family: Arial, Verdana;"><span style="line-height: 20px;">Penjumlahan dan pengurangan vektor</span></span></li>
<li><span style="color: #474747; font-family: Arial, Verdana;"><span style="line-height: 20px;">Perkalian skalar dengan vektor </span></span></li>
<li><span style="color: #474747; font-family: Arial, Verdana;"><span style="line-height: 20px;">Besar atau panjang vektor </span></span></li>
<li><span style="color: #474747; font-family: Arial, Verdana;"><span style="line-height: 20px;"> Perbandingan </span></span></li>
</ol>
Triwahyuni2595http://www.blogger.com/profile/12964625012619417882noreply@blogger.com3tag:blogger.com,1999:blog-2541523996403269088.post-12662633900312386522015-01-01T21:05:00.001-08:002015-01-01T21:05:16.830-08:00BARISAN DAN DERET<span style="font-family: inherit; font-size: 11pt; font-style: inherit; font-weight: inherit; text-align: justify;">Barisan geometri adalah Barisan bilangan yang suku-suku berikutnya diperoleh dari </span><strong style="border: 0px; font-family: inherit; font-size: 11pt; font-style: inherit; margin: 0px; outline: 0px; padding: 0px; text-align: justify; vertical-align: baseline;">hasil kali</strong><span style="font-family: inherit; font-size: 11pt; font-style: inherit; font-weight: inherit; text-align: justify;"> suku sebelumnya dengan bilangan tetap yang tidak sama dengan nol.</span><br />
<div style="text-align: justify;">
<div style="background-color: white; border: 0px; color: #375362; font-family: Verdana, 'Helvetica Neue', Helvetica, Arial, sans-serif; font-size: 13px; line-height: 20.7999992370605px; margin-bottom: 1.667em; outline: 0px; padding: 0px; text-align: start; vertical-align: baseline;">
<span style="border: 0px; font-family: Verdana; font-style: inherit; font-weight: inherit; margin: 0px; outline: 0px; padding: 0px; vertical-align: baseline;"><span style="border: 0px; font-family: inherit; font-size: 11pt; font-style: inherit; font-weight: inherit; margin: 0px; outline: 0px; padding: 0px; vertical-align: baseline;">Bilangan tetap t</span></span><strong style="border: 0px; font-family: inherit; font-style: inherit; margin: 0px; outline: 0px; padding: 0px; vertical-align: baseline;"></strong><span style="border: 0px; font-family: Verdana; font-style: inherit; font-weight: inherit; margin: 0px; outline: 0px; padding: 0px; vertical-align: baseline;"><span style="border: 0px; font-family: inherit; font-size: 11pt; font-style: inherit; font-weight: inherit; margin: 0px; outline: 0px; padding: 0px; vertical-align: baseline;">ersebut dinamakan <strong style="border: 0px; font-family: inherit; font-style: inherit; margin: 0px; outline: 0px; padding: 0px; vertical-align: baseline;"><em style="border: 0px; font-family: inherit; font-weight: inherit; margin: 0px; outline: 0px; padding: 0px; vertical-align: baseline;">pembanding (rasio)</em></strong></span></span></div>
<div style="background-color: white; border: 0px; line-height: 20.7999992370605px; margin-bottom: 1.667em; outline: 0px; padding: 0px; text-align: start; vertical-align: baseline;">
<span style="border: 0px; font-style: inherit; margin: 0px; outline: 0px; padding: 0px; vertical-align: baseline;"><span style="border: 0px; font-style: inherit; line-height: 21.4666652679443px; margin: 0px; outline: 0px; padding: 0px; vertical-align: baseline;"><span style="font-family: Arial, Helvetica, sans-serif;">Barisan Geometri</span><span style="font-family: Tempus Sans ITC; font-size: 14pt;">.</span></span></span></div>
<div style="background-color: white; border: 0px; color: #375362; font-family: Verdana, 'Helvetica Neue', Helvetica, Arial, sans-serif; font-size: 13px; line-height: 20.7999992370605px; margin-bottom: 1.667em; outline: 0px; padding: 0px 0px 0px 30px; text-align: start; vertical-align: baseline;">
<img alt="CodeCogsEqn(10)" class="alignnone size-full wp-image-149" src="https://lenosa.files.wordpress.com/2013/05/codecogseqn10.gif?w=560" style="border: 0px; height: auto; margin-top: 0.5em; max-width: 100%;" /></div>
<div style="background-color: white; border: 0px; line-height: 20.7999992370605px; margin-bottom: 1.667em; outline: 0px; padding: 0px; text-align: start; vertical-align: baseline;">
<span style="border: 0px; font-style: inherit; margin: 0px; outline: 0px; padding: 0px; vertical-align: baseline;"><span style="font-family: Arial, Helvetica, sans-serif;"><span style="border: 0px; font-style: inherit; line-height: 21.4666652679443px; margin: 0px; outline: 0px; padding: 0px; vertical-align: baseline;">Sifat-sifat</span>.</span></span></div>
<div style="background-color: white; border: 0px; color: #375362; font-family: Verdana, 'Helvetica Neue', Helvetica, Arial, sans-serif; font-size: 13px; line-height: 20.7999992370605px; margin-bottom: 1.667em; outline: 0px; padding: 0px 0px 0px 30px; text-align: start; vertical-align: baseline;">
r = U<span style="border: 0px; font-family: inherit; font-size: 10px; font-style: inherit; font-weight: inherit; height: 0px; line-height: 0; margin: 0px; outline: 0px; padding: 0px; position: relative; top: 0.5ex; vertical-align: baseline;">2</span> : U<span style="border: 0px; font-family: inherit; font-size: 10px; font-style: inherit; font-weight: inherit; height: 0px; line-height: 0; margin: 0px; outline: 0px; padding: 0px; position: relative; top: 0.5ex; vertical-align: baseline;">1 </span>= U<span style="border: 0px; font-family: inherit; font-size: 10px; font-style: inherit; font-weight: inherit; height: 0px; line-height: 0; margin: 0px; outline: 0px; padding: 0px; position: relative; top: 0.5ex; vertical-align: baseline;">3</span> : U<span style="border: 0px; font-family: inherit; font-size: 10px; font-style: inherit; font-weight: inherit; height: 0px; line-height: 0; margin: 0px; outline: 0px; padding: 0px; position: relative; top: 0.5ex; vertical-align: baseline;">2</span> = … = U<span style="border: 0px; font-family: inherit; font-size: 10px; font-style: inherit; font-weight: inherit; height: 0px; line-height: 0; margin: 0px; outline: 0px; padding: 0px; position: relative; top: 0.5ex; vertical-align: baseline;">n</span> : U<span style="border: 0px; font-family: inherit; font-size: 10px; font-style: inherit; font-weight: inherit; height: 0px; line-height: 0; margin: 0px; outline: 0px; padding: 0px; position: relative; top: 0.5ex; vertical-align: baseline;">n-1</span><br />
r : Rasio</div>
<div style="background-color: white; border: 0px; line-height: 20.7999992370605px; margin-bottom: 1.667em; outline: 0px; padding: 0px; text-align: start; vertical-align: baseline;">
<span style="border: 0px; font-style: inherit; margin: 0px; outline: 0px; padding: 0px; vertical-align: baseline;"><span style="border: 0px; font-style: inherit; line-height: 21.4666652679443px; margin: 0px; outline: 0px; padding: 0px; vertical-align: baseline;"><span style="font-family: Arial, Helvetica, sans-serif;">Suku-suku.</span></span></span></div>
<div style="background-color: white; border: 0px; color: #375362; font-family: Verdana, 'Helvetica Neue', Helvetica, Arial, sans-serif; font-size: 13px; line-height: 20.7999992370605px; margin-bottom: 1.667em; outline: 0px; padding: 0px 0px 0px 30px; text-align: start; vertical-align: baseline;">
a, ar, ar<span style="border: 0px; bottom: 1ex; font-family: inherit; font-size: 10px; font-style: inherit; font-weight: inherit; height: 0px; line-height: 0; margin: 0px; outline: 0px; padding: 0px; position: relative; vertical-align: baseline;">2</span>, ar<span style="border: 0px; bottom: 1ex; font-family: inherit; font-size: 10px; font-style: inherit; font-weight: inherit; height: 0px; line-height: 0; margin: 0px; outline: 0px; padding: 0px; position: relative; vertical-align: baseline;">3</span>, …</div>
<div style="background-color: white; border: 0px; line-height: 20.7999992370605px; margin-bottom: 1.667em; outline: 0px; padding: 0px; text-align: start; vertical-align: baseline;">
<span style="border: 0px; font-style: inherit; margin: 0px; outline: 0px; padding: 0px; vertical-align: baseline;"><span style="font-family: Arial, Helvetica, sans-serif;"><span style="border: 0px; font-style: inherit; line-height: 21.4666652679443px; margin: 0px; outline: 0px; padding: 0px; vertical-align: baseline;">Suku ke-n</span>.</span></span></div>
<div style="background-color: white; border: 0px; color: #375362; font-family: Verdana, 'Helvetica Neue', Helvetica, Arial, sans-serif; font-size: 13px; line-height: 20.7999992370605px; margin-bottom: 1.667em; outline: 0px; padding: 0px 0px 0px 30px; text-align: start; vertical-align: baseline;">
U<span style="border: 0px; font-family: inherit; font-size: 10px; font-style: inherit; font-weight: inherit; height: 0px; line-height: 0; margin: 0px; outline: 0px; padding: 0px; position: relative; top: 0.5ex; vertical-align: baseline;">n </span>= ar<span style="border: 0px; bottom: 1ex; font-family: inherit; font-size: 10px; font-style: inherit; font-weight: inherit; height: 0px; line-height: 0; margin: 0px; outline: 0px; padding: 0px; position: relative; vertical-align: baseline;">n – 1</span></div>
<div style="background-color: white; border: 0px; color: #375362; font-family: Verdana, 'Helvetica Neue', Helvetica, Arial, sans-serif; font-size: 13px; line-height: 20.7999992370605px; margin-bottom: 1.667em; outline: 0px; padding: 0px 0px 0px 30px; text-align: start; vertical-align: baseline;">
U<span style="border: 0px; font-family: inherit; font-size: 10px; font-style: inherit; font-weight: inherit; height: 0px; line-height: 0; margin: 0px; outline: 0px; padding: 0px; position: relative; top: 0.5ex; vertical-align: baseline;">n </span>= U<span style="border: 0px; font-family: inherit; font-size: 10px; font-style: inherit; font-weight: inherit; height: 0px; line-height: 0; margin: 0px; outline: 0px; padding: 0px; position: relative; top: 0.5ex; vertical-align: baseline;">k</span> r<span style="border: 0px; bottom: 1ex; font-family: inherit; font-size: 10px; font-style: inherit; font-weight: inherit; height: 0px; line-height: 0; margin: 0px; outline: 0px; padding: 0px; position: relative; vertical-align: baseline;">n – k</span></div>
<div style="background-color: white; border: 0px; line-height: 20.7999992370605px; margin-bottom: 1.667em; outline: 0px; padding: 0px; text-align: start; vertical-align: baseline;">
<span style="border: 0px; font-style: inherit; margin: 0px; outline: 0px; padding: 0px; vertical-align: baseline;"><span style="font-family: Arial, Helvetica, sans-serif;"><span style="border: 0px; font-style: inherit; line-height: 21.4666652679443px; margin: 0px; outline: 0px; padding: 0px; vertical-align: baseline;">Deret <span style="border: 0px; font-style: inherit; margin: 0px; outline: 0px; padding: 0px; vertical-align: baseline;">Geometri</span></span>.</span></span></div>
<div style="background-color: white; border: 0px; color: #375362; font-family: Verdana, 'Helvetica Neue', Helvetica, Arial, sans-serif; font-size: 13px; line-height: 20.7999992370605px; margin-bottom: 1.667em; outline: 0px; padding: 0px 0px 0px 30px; text-align: start; vertical-align: baseline;">
<span style="color: #00a6cc; font-family: inherit;"><img alt="CodeCogsEqn(11)" class="alignnone size-full wp-image-150" src="https://lenosa.files.wordpress.com/2013/05/codecogseqn11.gif?w=560" style="border: 0px; height: auto; margin-top: 0.5em; max-width: 100%;" /></span></div>
<div style="background-color: white; border: 0px; line-height: 20.7999992370605px; margin-bottom: 1.667em; outline: 0px; padding: 0px; text-align: start; vertical-align: baseline;">
<span style="border: 0px; font-style: inherit; font-weight: inherit; margin: 0px; outline: 0px; padding: 0px; vertical-align: baseline;"><span style="font-family: Arial, Helvetica, sans-serif;"><b><span style="border: 0px; font-style: inherit; font-weight: inherit; line-height: 21.4666652679443px; margin: 0px; outline: 0px; padding: 0px; vertical-align: baseline;">Jumlah n suku pertama</span></b>.</span></span></div>
<div class="MsoNormal" style="background-color: white; border: 0px; color: #375362; font-family: Verdana, 'Helvetica Neue', Helvetica, Arial, sans-serif; font-size: 13px; line-height: 20.7999992370605px; margin-bottom: 1.667em; outline: 0px; padding: 0px 0px 0px 30px; text-align: start; vertical-align: baseline;">
Untuk r < 1:</div>
<div class="MsoNormal" style="background-color: white; border: 0px; color: #375362; font-family: Verdana, 'Helvetica Neue', Helvetica, Arial, sans-serif; font-size: 13px; line-height: 20.7999992370605px; margin-bottom: 1.667em; outline: 0px; padding: 0px 0px 0px 30px; text-align: start; vertical-align: baseline;">
<a href="https://lenosa.files.wordpress.com/2013/05/codecogseqn8.gif" sl-processed="1" style="-webkit-transition: all 0.3s linear; border: 0px; color: #00a6cc; font-family: inherit; font-style: inherit; font-weight: inherit; margin: 0px; outline: 0px; padding: 0px; text-decoration: none; transition: all 0.3s linear; vertical-align: baseline;"><img alt="CodeCogsEqn(8)" class="alignnone size-full wp-image-161" src="https://lenosa.files.wordpress.com/2013/05/codecogseqn8.gif?w=560" style="border: 0px; height: auto; margin-top: 0.5em; max-width: 100%;" /></a></div>
<div class="MsoNormal" style="background-color: white; border: 0px; color: #375362; font-family: Verdana, 'Helvetica Neue', Helvetica, Arial, sans-serif; font-size: 13px; line-height: 20.7999992370605px; margin-bottom: 1.667em; outline: 0px; padding: 0px 0px 0px 30px; text-align: start; vertical-align: baseline;">
Untuk r > 1:</div>
<div class="MsoNormal" style="background-color: white; border: 0px; color: #375362; font-family: Verdana, 'Helvetica Neue', Helvetica, Arial, sans-serif; font-size: 13px; line-height: 20.7999992370605px; margin-bottom: 1.667em; outline: 0px; padding: 0px 0px 0px 30px; text-align: start; vertical-align: baseline;">
<a href="https://lenosa.files.wordpress.com/2013/05/codecogseqn7.gif" sl-processed="1" style="-webkit-transition: all 0.3s linear; border: 0px; color: #00a6cc; font-family: inherit; font-style: inherit; font-weight: inherit; margin: 0px; outline: 0px; padding: 0px; text-decoration: none; transition: all 0.3s linear; vertical-align: baseline;"><img alt="CodeCogsEqn(7)" class="alignnone size-full wp-image-160" src="https://lenosa.files.wordpress.com/2013/05/codecogseqn7.gif?w=560" style="border: 0px; height: auto; margin-top: 0.5em; max-width: 100%;" /></a></div>
</div>
<ul style="background-color: white; border: 0px; color: #474747; font-family: Arial, Verdana; font-size: 14px; line-height: 20px; margin: 0px 1.5em 1.5em; padding: 0px; text-align: justify; vertical-align: baseline;"></ul>
<div style="background-color: white; border: 0px; color: #375362; font-family: Verdana, 'Helvetica Neue', Helvetica, Arial, sans-serif; font-size: 13px; line-height: 20.7999992370605px; margin-bottom: 1.667em; outline: 0px; padding: 0px; vertical-align: baseline;">
Barisan Aritmatika dalah barisan bilangan yang suku berikutnya didapat dari penambahan suku sebelumnya dengan bilangan yang tetap (tertentu), bilangan yang tetap tersebut dinamakan <strong style="border: 0px; font-family: inherit; font-style: inherit; margin: 0px; outline: 0px; padding: 0px; vertical-align: baseline;">beda (b)</strong></div>
<div style="background-color: white; border: 0px; font-family: Verdana, 'Helvetica Neue', Helvetica, Arial, sans-serif; font-size: 13px; line-height: 20.7999992370605px; margin-bottom: 1.667em; outline: 0px; padding: 0px; vertical-align: baseline;">
<span style="border: 0px; font-family: inherit; font-style: inherit; font-weight: inherit; margin: 0px; outline: 0px; padding: 0px; vertical-align: baseline;"><b><span style="border: 0px; font-family: 'Comic Sans ms'; font-size: 13pt; font-style: inherit; font-weight: inherit; line-height: 19.9333343505859px; margin: 0px; outline: 0px; padding: 0px; vertical-align: baseline;">Barisan Aritmatika.</span></b></span></div>
<div style="background-color: white; border: 0px; color: #375362; font-family: Verdana, 'Helvetica Neue', Helvetica, Arial, sans-serif; font-size: 13px; line-height: 20.7999992370605px; margin-bottom: 1.667em; outline: 0px; padding: 0px 0px 0px 30px; vertical-align: baseline;">
<img alt="CodeCogsEqn(10)" class="alignnone size-full wp-image-149" src="https://lenosa.files.wordpress.com/2013/05/codecogseqn10.gif?w=560" style="border: 0px; height: auto; margin-top: 0.5em; max-width: 100%;" /></div>
<div style="background-color: white; border: 0px; font-size: 13px; line-height: 20.7999992370605px; margin-bottom: 1.667em; outline: 0px; padding: 0px; vertical-align: baseline;">
<span style="border: 0px; font-style: inherit; font-weight: inherit; margin: 0px; outline: 0px; padding: 0px; vertical-align: baseline;"><b><span style="border: 0px; font-size: 13pt; font-style: inherit; font-weight: inherit; line-height: 19.9333343505859px; margin: 0px; outline: 0px; padding: 0px; vertical-align: baseline;"><span style="font-family: Arial, Helvetica, sans-serif;">Sifat-sifat<span style="color: #3366ff;">.</span></span></span></b></span></div>
<div style="background-color: white; border: 0px; color: #375362; font-family: Verdana, 'Helvetica Neue', Helvetica, Arial, sans-serif; font-size: 13px; line-height: 20.7999992370605px; margin-bottom: 1.667em; outline: 0px; padding: 0px 0px 0px 30px; vertical-align: baseline;">
b = U<span style="border: 0px; font-family: inherit; font-size: 10px; font-style: inherit; font-weight: inherit; height: 0px; line-height: 0; margin: 0px; outline: 0px; padding: 0px; position: relative; top: 0.5ex; vertical-align: baseline;">2</span> – U<span style="border: 0px; font-family: inherit; font-size: 10px; font-style: inherit; font-weight: inherit; height: 0px; line-height: 0; margin: 0px; outline: 0px; padding: 0px; position: relative; top: 0.5ex; vertical-align: baseline;">1 </span>= U<span style="border: 0px; font-family: inherit; font-size: 10px; font-style: inherit; font-weight: inherit; height: 0px; line-height: 0; margin: 0px; outline: 0px; padding: 0px; position: relative; top: 0.5ex; vertical-align: baseline;">3</span> – U<span style="border: 0px; font-family: inherit; font-size: 10px; font-style: inherit; font-weight: inherit; height: 0px; line-height: 0; margin: 0px; outline: 0px; padding: 0px; position: relative; top: 0.5ex; vertical-align: baseline;">2</span> = … = U<span style="border: 0px; font-family: inherit; font-size: 10px; font-style: inherit; font-weight: inherit; height: 0px; line-height: 0; margin: 0px; outline: 0px; padding: 0px; position: relative; top: 0.5ex; vertical-align: baseline;">n</span> – U<span style="border: 0px; font-family: inherit; font-size: 10px; font-style: inherit; font-weight: inherit; height: 0px; line-height: 0; margin: 0px; outline: 0px; padding: 0px; position: relative; top: 0.5ex; vertical-align: baseline;">n-1</span></div>
<div style="background-color: white; border: 0px; color: #375362; font-family: Verdana, 'Helvetica Neue', Helvetica, Arial, sans-serif; font-size: 13px; line-height: 20.7999992370605px; margin-bottom: 1.667em; outline: 0px; padding: 0px 0px 0px 30px; vertical-align: baseline;">
keterangan:</div>
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b : beda</div>
<div style="background-color: white; border: 0px; color: #375362; font-family: Verdana, 'Helvetica Neue', Helvetica, Arial, sans-serif; font-size: 13px; line-height: 20.7999992370605px; margin-bottom: 1.667em; outline: 0px; padding: 0px 0px 0px 30px; vertical-align: baseline;">
U<span style="border: 0px; font-family: inherit; font-size: 10px; font-style: inherit; font-weight: inherit; height: 0px; line-height: 0; margin: 0px; outline: 0px; padding: 0px; position: relative; top: 0.5ex; vertical-align: baseline;">n</span> : suku ke-n</div>
<div style="background-color: white; border: 0px; font-size: 13px; line-height: 20.7999992370605px; margin-bottom: 1.667em; outline: 0px; padding: 0px; vertical-align: baseline;">
<span style="border: 0px; font-style: inherit; font-weight: inherit; margin: 0px; outline: 0px; padding: 0px; vertical-align: baseline;"><b><span style="border: 0px; font-size: 13pt; font-style: inherit; font-weight: inherit; line-height: 19.9333343505859px; margin: 0px; outline: 0px; padding: 0px; vertical-align: baseline;"><span style="font-family: Arial, Helvetica, sans-serif;">Suku-suku.</span></span></b></span></div>
<div style="background-color: white; border: 0px; color: #375362; font-family: Verdana, 'Helvetica Neue', Helvetica, Arial, sans-serif; font-size: 13px; line-height: 20.7999992370605px; margin-bottom: 1.667em; outline: 0px; padding: 0px 0px 0px 30px; vertical-align: baseline;">
a, a+b, a + 2b, a + 3b, …</div>
<div style="background-color: white; border: 0px; font-size: 13px; line-height: 20.7999992370605px; margin-bottom: 1.667em; outline: 0px; padding: 0px; vertical-align: baseline;">
<span style="border: 0px; font-style: inherit; font-weight: inherit; margin: 0px; outline: 0px; padding: 0px; vertical-align: baseline;"><b><span style="border: 0px; font-size: 13pt; font-style: inherit; font-weight: inherit; line-height: 19.9333343505859px; margin: 0px; outline: 0px; padding: 0px; vertical-align: baseline;"><span style="font-family: Arial, Helvetica, sans-serif;">Suku ke-n.</span></span></b></span></div>
<div style="background-color: white; border: 0px; color: #375362; font-family: Verdana, 'Helvetica Neue', Helvetica, Arial, sans-serif; font-size: 13px; line-height: 20.7999992370605px; margin-bottom: 1.667em; outline: 0px; padding: 0px 0px 0px 30px; vertical-align: baseline;">
U<span style="border: 0px; font-family: inherit; font-size: 10px; font-style: inherit; font-weight: inherit; height: 0px; line-height: 0; margin: 0px; outline: 0px; padding: 0px; position: relative; top: 0.5ex; vertical-align: baseline;">n </span>= a + (n – 1)b</div>
<div style="background-color: white; border: 0px; color: #375362; font-family: Verdana, 'Helvetica Neue', Helvetica, Arial, sans-serif; font-size: 13px; line-height: 20.7999992370605px; margin-bottom: 1.667em; outline: 0px; padding: 0px 0px 0px 30px; vertical-align: baseline;">
U<span style="border: 0px; font-family: inherit; font-size: 10px; font-style: inherit; font-weight: inherit; height: 0px; line-height: 0; margin: 0px; outline: 0px; padding: 0px; position: relative; top: 0.5ex; vertical-align: baseline;">n </span>= U<span style="border: 0px; font-family: inherit; font-size: 10px; font-style: inherit; font-weight: inherit; height: 0px; line-height: 0; margin: 0px; outline: 0px; padding: 0px; position: relative; top: 0.5ex; vertical-align: baseline;">k</span> + (n – k)b</div>
<div style="background-color: white; border: 0px; font-size: 13px; line-height: 20.7999992370605px; margin-bottom: 1.667em; outline: 0px; padding: 0px; vertical-align: baseline;">
<span style="border: 0px; font-style: inherit; font-weight: inherit; margin: 0px; outline: 0px; padding: 0px; vertical-align: baseline;"><b><span style="border: 0px; font-size: 13pt; font-style: inherit; font-weight: inherit; line-height: 19.9333343505859px; margin: 0px; outline: 0px; padding: 0px; vertical-align: baseline;"><span style="font-family: Arial, Helvetica, sans-serif;">Deret Aritmatika.</span></span></b></span></div>
<div style="background-color: white; border: 0px; color: #375362; font-family: Verdana, 'Helvetica Neue', Helvetica, Arial, sans-serif; font-size: 13px; line-height: 20.7999992370605px; margin-bottom: 1.667em; outline: 0px; padding: 0px 0px 0px 30px; vertical-align: baseline;">
<img alt="CodeCogsEqn(11)" class="alignnone size-full wp-image-150" src="https://lenosa.files.wordpress.com/2013/05/codecogseqn11.gif?w=560" style="border: 0px; height: auto; margin-top: 0.5em; max-width: 100%;" /></div>
<div style="background-color: white; border: 0px; font-size: 13px; line-height: 20.7999992370605px; margin-bottom: 1.667em; outline: 0px; padding: 0px; vertical-align: baseline;">
<span style="border: 0px; font-style: inherit; font-weight: inherit; margin: 0px; outline: 0px; padding: 0px; vertical-align: baseline;"><b><span style="border: 0px; font-size: 13pt; font-style: inherit; font-weight: inherit; line-height: 19.9333343505859px; margin: 0px; outline: 0px; padding: 0px; vertical-align: baseline;"><span style="font-family: Arial, Helvetica, sans-serif;">Jumlah n Suku Pertama.</span></span></b></span></div>
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<img alt="CodeCogsEqn(9)" class="alignnone size-full wp-image-151" src="https://lenosa.files.wordpress.com/2013/05/codecogseqn9.gif?w=560" style="border: 0px; height: auto; margin-top: 0.5em; max-width: 100%;" /></div>
<div style="background-color: white; border: 0px; color: #375362; line-height: 20.7999992370605px; margin-bottom: 1.667em; outline: 0px; padding: 0px 0px 0px 30px; vertical-align: baseline;">
<span style="font-family: Arial, Helvetica, sans-serif;">keterangan:</span></div>
<div style="background-color: white; border: 0px; color: #375362; line-height: 20.7999992370605px; margin-bottom: 1.667em; outline: 0px; padding: 0px 0px 0px 30px; vertical-align: baseline;">
<span style="font-family: Arial, Helvetica, sans-serif;">a : suku pertama</span></div>
<div style="background-color: white; border: 0px; color: #375362; line-height: 20.7999992370605px; margin-bottom: 1.667em; outline: 0px; padding: 0px 0px 0px 30px; vertical-align: baseline;">
<span style="font-family: Arial, Helvetica, sans-serif;">b : beda</span></div>
<div style="background-color: white; border: 0px; color: #375362; line-height: 20.7999992370605px; margin-bottom: 1.667em; outline: 0px; padding: 0px 0px 0px 30px; vertical-align: baseline;">
<span style="font-family: Arial, Helvetica, sans-serif;">n : suku</span></div>
<div style="background-color: white; border: 0px; color: #375362; line-height: 20.7999992370605px; margin-bottom: 1.667em; outline: 0px; padding: 0px 0px 0px 30px; vertical-align: baseline;">
<span style="font-family: Arial, Helvetica, sans-serif;">U<span style="border: 0px; font-style: inherit; font-weight: inherit; height: 0px; line-height: 0; margin: 0px; outline: 0px; padding: 0px; position: relative; top: 0.5ex; vertical-align: baseline;">n</span> : suku ke-n</span></div>
Triwahyuni2595http://www.blogger.com/profile/12964625012619417882noreply@blogger.com2tag:blogger.com,1999:blog-2541523996403269088.post-86447321146626178422015-01-01T21:03:00.001-08:002015-01-02T06:14:22.114-08:00DAFTAR MATERI KELAS X<br />
<ol>
<li><a href="http://www.triwahyuni2595.co.vu/2015/01/relasi-dan-fungsi.html">Relasi dan Fungsi</a></li>
<li><a href="http://www.triwahyuni2595.co.vu/2015/01/barisan-dan-deret.html">Barisan dan Deret</a></li>
<li><a href="http://www.triwahyuni2595.co.vu/2015/01/statistika_1.html">Statistika</a></li>
</ol>
Triwahyuni2595http://www.blogger.com/profile/12964625012619417882noreply@blogger.com0tag:blogger.com,1999:blog-2541523996403269088.post-34642759777027647992015-01-01T21:00:00.003-08:002015-01-01T21:00:33.659-08:00Statistika<div class="MsoNormal" style="background-color: white; border: 0px; color: #474747; font-family: Arial, Verdana; margin: 0px 0px 0cm; padding: 0px; text-align: justify; vertical-align: baseline;">
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<span style="background-color: white;"><b><span lang="EN-US">Statistika</span></b><span lang="EN-US"> adalah ilmu pengetahuan tentang cara-cara pengumpulan data, pengumpulan data, penyusunan data, penyajian data serta penarikan kesimpulan.</span></span></div>
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<span style="background-color: white;"><b><span lang="EN-US">Statistik </span></b><span lang="EN-US">adalah kumpulan fakta yang umumnya berbentuk bilangan / agka dan disajikan dalam bentuk table atau diagram sehingga dapat menggambarkan suatu masalah.</span></span></div>
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<span style="background-color: white;"><b><span lang="EN-US">Populasi </span></b><span lang="EN-US">adalah keseluruhan objek yang akan diteliti.</span></span></div>
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<span style="background-color: white;"><b><span lang="EN-US">Sampel </span></b><span lang="EN-US">adalah sebagian dari populasi yang benar-benar diteliti</span></span></div>
</div>
Triwahyuni2595http://www.blogger.com/profile/12964625012619417882noreply@blogger.com1tag:blogger.com,1999:blog-2541523996403269088.post-51265683399228263332015-01-01T21:00:00.001-08:002015-01-01T21:00:05.287-08:00Barisan dan Deret<div class="MsoNormal" style="background-color: white; border: 0px; color: #474747; font-family: Arial, Verdana; margin: 0px 0px 0cm; padding: 0px; text-align: justify; vertical-align: baseline;">
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<span style="border: 0px; font-family: inherit; font-weight: inherit; margin: 0px; padding: 0px; vertical-align: baseline;"><span style="border: 0px; font-family: inherit; font-weight: inherit; margin: 0px; padding: 0px; vertical-align: baseline;"><b><span style="border: 0px; font-family: inherit; font-weight: inherit; margin: 0px; padding: 0px; vertical-align: baseline;"><i><u><br /></u></i></span></b></span></span></div>
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<span style="font-family: Arial, Tahoma, Helvetica, FreeSans, sans-serif; font-size: 13px; line-height: 18.2000007629395px;"><span lang="IN" style="background-color: white; font-family: 'Times New Roman', serif; font-size: 12pt;"><b>Barisan</b> adalah daftar urutan bilangan dari kiri ke kanan yang mempunyai karakteristik atau pola tertentu. Setiap bilangan dalam barisan merupakan suku dalam barisan. </span></span><br />
<span style="font-family: Arial, Tahoma, Helvetica, FreeSans, sans-serif; font-size: 13px; line-height: 18.2000007629395px; text-indent: -0.733333349227905px;"><span lang="IN" style="background-color: white; font-family: 'Times New Roman', serif; font-size: 12pt;"><b>Deret</b> adalah Penjumlahan suku-suku dari suatu barisan disebut deret. Jika U<sub>1</sub>,U<sub>2</sub>,U<sub>3,</sub>…..Un maka U<sub>1</sub> + U<sub>2</sub> + U<sub>3 </sub>+… +Un.</span></span><br />
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<span lang="IN" style="background-color: white; font-family: 'Times New Roman', serif; font-size: 12pt;"><b>Definisi baris aritmatika :</b><o:p></o:p></span></div>
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<span style="background-color: white;"><span lang="IN" style="font-family: 'Times New Roman', serif; font-size: 12pt;">Jika beda antara suatu suku apa saja dalam suatu barisan dengan suku sebelumnya adalah suatu bilangan tetap b maka barisan ini adalah barisan aritmatika. Bilangan tetap b itu dinamakan beda dari barisan</span><span lang="IN" style="font-family: 'Times New Roman', serif; font-size: 12pt;">.</span></span></div>
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<span lang="IN" style="background-color: white; font-family: 'Times New Roman', serif; font-size: 12pt;">Polanya : a, a+b, a+2b, a+3b,…..,a+(n-1)b<o:p></o:p></span></div>
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<span lang="IN" style="background-color: white; font-family: 'Times New Roman', serif; font-size: 12pt;">Dengan<o:p></o:p></span></div>
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<span style="background-color: white;"><span lang="IN" style="font-family: 'Times New Roman', serif; font-size: 12pt;">o</span><span lang="IN" style="font-family: 'Times New Roman', serif; font-size: 7pt;"> </span><span lang="IN" style="font-family: 'Times New Roman', serif; font-size: 12pt;">a = U<sub>1</sub>= Suku pertama <o:p></o:p></span></span></div>
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<span style="background-color: white;"><span lang="IN" style="font-family: 'Times New Roman', serif; font-size: 12pt;">o</span><span lang="IN" style="font-family: 'Times New Roman', serif; font-size: 7pt;"> </span><span lang="IN" style="font-family: 'Times New Roman', serif; font-size: 12pt;">b = beda<o:p></o:p></span></span></div>
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<span style="background-color: white;"><span lang="IN" style="font-family: 'Times New Roman', serif; font-size: 12pt;">o</span><span lang="IN" style="font-family: 'Times New Roman', serif; font-size: 7pt;"> </span><span lang="IN" style="font-family: 'Times New Roman', serif; font-size: 12pt;">n = banyaknya suku<o:p></o:p></span></span></div>
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<span style="background-color: white;"><span lang="IN" style="font-family: 'Times New Roman', serif; font-size: 12pt;">o</span><span lang="IN" style="font-family: 'Times New Roman', serif; font-size: 7pt;"> </span><span lang="IN" style="font-family: 'Times New Roman', serif; font-size: 12pt;">U<sub>n </sub>= Suku ke-n</span></span></div>
<div class="MsoNormal" style="font-family: Arial, Tahoma, Helvetica, FreeSans, sans-serif; font-size: 13px; line-height: 18.2000007629395px; margin-bottom: 0.0001pt; text-indent: -0.25in;">
<span style="background-color: white; font-family: 'Times New Roman', serif; font-size: 12pt; line-height: 18.2000007629395px; text-indent: -0.25in;"> </span><span style="background-color: white; font-family: 'Times New Roman', serif; font-size: 12pt; line-height: 18.2000007629395px; text-indent: 0px;"><b>Definisi barisan geometri :</b></span></div>
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<span lang="IN" style="background-color: white; font-family: 'Times New Roman', serif; font-size: 12pt;">Jika rasio antara suku apa saja dalam suatu barisan dengan suku sebelumnya merupakan suatu bilangan tetap <i>r </i>maka barisan tersebut adalah barisan geometri.bilangan tetap<i> r</i> disebut rasio dari barisan.</span></div>
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<span lang="IN" style="background-color: white; font-family: 'Times New Roman', serif; font-size: 12pt;"></span><br />
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<span lang="IN" style="background-color: white; font-family: 'Times New Roman', serif; font-size: 12pt;"><span lang="IN" style="font-family: 'Times New Roman', serif; font-size: 12pt;"><b>Rumus jumlah n suku pertama dari deret geometri adalah </b>:<o:p></o:p></span></span></div>
<span lang="IN" style="background-color: white; font-family: 'Times New Roman', serif; font-size: 12pt;"><div class="MsoNormal" style="font-family: Arial, Tahoma, Helvetica, FreeSans, sans-serif; font-size: 13px; line-height: 18.2000007629395px; margin-bottom: 0.0001pt;">
<span lang="IN" style="font-family: 'Times New Roman', serif; font-size: 12pt;"> Sn = a( 1- r<sup>n </sup>) / 1 – r , jika r < 1 dan<o:p></o:p></span></div>
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<span lang="IN" style="font-family: 'Times New Roman', serif; font-size: 12pt;"> Sn = a( r<sup>n</sup> - 1) / r – 1 , jika r > 1</span></div>
</span></div>
</div>
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Triwahyuni2595http://www.blogger.com/profile/12964625012619417882noreply@blogger.com5tag:blogger.com,1999:blog-2541523996403269088.post-21267760933832176222015-01-01T20:59:00.001-08:002015-01-01T20:59:28.353-08:00Relasi dan Fungsi<div class="MsoNormal" style="background-color: white; border: 0px; color: #474747; font-family: Arial, Verdana; margin: 0px 0px 0cm; padding: 0px; text-align: justify; vertical-align: baseline;">
<b style="color: #444444; font-family: 'PT Sans Narrow'; font-size: 16px; line-height: 20.7999992370605px; text-align: left;">Relasi</b><span style="color: #444444; font-family: 'PT Sans Narrow'; font-size: 16px; line-height: 20.7999992370605px; text-align: left;"> adalah suatu aturan yang memasangkan anggota himpunan satu ke himpunan lain.</span></div>
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<span style="color: #444444; font-family: 'PT Sans Narrow'; font-size: 16px; line-height: 20.7999992370605px; text-align: left;">Suatu relasi dari himpunan A ke himpunan B adalah pemasangan atau perkawanan atau korespondensi dari anggota-anggota himpunan A ke anggota-anggota himpunan B.</span><br />
<span style="color: #444444; font-family: 'PT Sans Narrow'; font-size: 16px; line-height: 20.7999992370605px; text-align: left;"><br /></span>
<ul>
<li><span style="color: #444444; font-family: 'PT Sans Narrow'; font-size: 16px; line-height: 20.7999992370605px; text-align: left;">4 cara menyatakan relasi, yaitu:</span></li>
</ul>
<ol>
<li><span style="color: #444444; font-family: 'PT Sans Narrow'; font-size: 16px; line-height: 20.7999992370605px; text-align: left;"><b>Himpunan Pasangan Berurutan</b>. </span><span style="color: #444444; font-family: 'PT Sans Narrow'; font-size: 16px; line-height: 20.7999992370605px; text-align: left;">Himpunan yang anggotanya semua pasangan berurutan (x,y) dinamakan himpunan pasangan berurutan.</span></li>
<li><span style="color: #444444; font-family: 'PT Sans Narrow'; font-size: 16px; line-height: 20.7999992370605px; text-align: left;"><b>Diagram Panah. </b></span><span style="color: #444444; font-family: 'PT Sans Narrow'; font-size: 16px; line-height: 20.7999992370605px; text-align: left;">Langkah-langkah cara menyatakan relasi dengan diagram panah:3,.</span></li>
</ol>
</div>
<div class="MsoNormal" style="background-color: white; border: 0px; color: #474747; font-family: Arial, Verdana; margin: 0px 0px 0cm; padding: 0px; text-align: justify; vertical-align: baseline;">
<ul>
<li><span style="color: #444444; font-family: 'PT Sans Narrow'; font-size: 16px; line-height: 20.7999992370605px; text-align: left;">Membuat dua lingkaran atau ellips.</span></li>
<li><span style="color: #444444; font-family: 'PT Sans Narrow'; font-size: 16px; line-height: 20.7999992370605px; text-align: left;">Untuk meletakkan anggota himpunan A dan anggota himpunan B x=A diletakkan pada lingkaran A dan y=B diletakkan pada lingkaran B.</span></li>
<li><span style="color: #444444; font-family: 'PT Sans Narrow'; font-size: 16px; line-height: 20.7999992370605px; text-align: left;">x dan y dihubungkan dengan anak panah.</span></li>
<li><span style="color: #444444; font-family: 'PT Sans Narrow'; font-size: 16px; line-height: 20.7999992370605px; text-align: left;">Arah anak panah menunjukkan arah relasi.</span></li>
<li><span style="color: #444444; font-family: 'PT Sans Narrow'; font-size: 16px; line-height: 20.7999992370605px; text-align: left;">Anak panah tersebut mewakili aturan relasi</span></li>
</ul>
<span style="color: #444444; font-family: 'PT Sans Narrow'; font-size: 16px; line-height: 20.7999992370605px; text-align: left;"> 3. <b>Diagram Cartesius. </b></span><span style="color: #444444; font-family: 'PT Sans Narrow'; font-size: 16px; line-height: 20.7999992370605px; text-align: left;">Pada diagram cartesius diperlukan dua salib sumbu yaitu; sumbu mendatar (horisontal) dan sumbu tegak (vertikal) yang berpotongan tegak lurus.</span><br />
<ul>
<li><span style="color: #444444; font-family: 'PT Sans Narrow'; font-size: 16px; line-height: 20.7999992370605px; text-align: left;">x=A diletakkan pada sumbu mendatar.</span></li>
<li><span style="color: #444444; font-family: 'PT Sans Narrow'; font-size: 16px; line-height: 20.7999992370605px; text-align: left;">y=B diletakkan pada sumbu tegak</span></li>
<li><span style="color: #444444; font-family: 'PT Sans Narrow'; font-size: 16px; line-height: 20.7999992370605px; text-align: left;">Pemasangan (x,y) ditandai dengan sebuah noktah yang koordinatnya ditulis sebagai pasangan berurutan (x,y).</span></li>
</ul>
<span style="color: #444444; font-family: 'PT Sans Narrow'; font-size: 16px; line-height: 20.7999992370605px; text-align: left;"> 4. <b>Dengan Rumus. </b></span><span style="color: #444444; font-family: 'PT Sans Narrow'; font-size: 16px; line-height: 20.7999992370605px; text-align: left;">f(x) = x + 1, di mana x = {0, 1, 2, 5} dan f(x) = {1, 2, 3, 4, 6}</span><br />
<br />
<span style="color: #444444; font-family: 'PT Sans Narrow'; font-size: 16px; line-height: 20.7999992370605px; text-align: left;"><br /></span><span style="color: #444444; font-family: 'PT Sans Narrow'; font-size: 16px; line-height: 20.7999992370605px; text-align: left;"><b>Fungsi f</b> adalah suatu relasi yang menghubungkan setiap anggota x dalam suatu himpunan yang disebut daerah asal (Domain) dengan suatu nilai tunggal f(x) dari suatu himpunan kedua yang disebut daerah kawan (Kodomain). </span><span style="color: #444444; font-family: 'PT Sans Narrow'; font-size: 16px; line-height: 20.7999992370605px; text-align: left;">Himpunan nilai yang diperoleh dari relasi tersebut disebut daerah hasil ( Range). </span><span style="color: #444444; font-family: 'PT Sans Narrow'; font-size: 16px; line-height: 20.7999992370605px; text-align: left;">Untuk memberi nama suatu fungsi dipakai sebuah huruf tunggal seperti f, g, dan huruf </span><span style="color: #444444; font-family: 'PT Sans Narrow'; font-size: 16px; line-height: 20.7999992370605px; text-align: left;">lainnya. Maka f(x), yang di baca “ f dari x “ menunjukkan nilai yang diberikan oleh f </span><span style="color: #444444; font-family: 'PT Sans Narrow'; font-size: 16px; line-height: 20.7999992370605px; text-align: left;">kepada x.</span><br />
<span style="color: #444444; font-family: 'PT Sans Narrow'; font-size: 16px; line-height: 20.7999992370605px; text-align: left;"><br /></span><span style="color: #444444; font-family: 'PT Sans Narrow'; font-size: 16px; line-height: 20.7999992370605px; text-align: left;"><b>Sifat Fungsi :</b></span><br />
<br />
<ol>
<li><span style="color: #444444; font-family: 'PT Sans Narrow'; font-size: 16px; line-height: 20.7999992370605px; text-align: left;">Fungsi f :A? B disebut fungsi INTO. Karena ada kodomain yang tidak berpasangan dengan domain.</span></li>
<li><span style="color: #444444; font-family: 'PT Sans Narrow'; font-size: 16px; line-height: 20.7999992370605px; text-align: left;">Fungsi f :A? B disebut fungsi INJEKTIF. Karena setiap kodomain berpasangan tepat satu dengan domain.</span></li>
<li><span style="color: #444444; font-family: 'PT Sans Narrow'; font-size: 16px; line-height: 20.7999992370605px; text-align: left;">Fungsi f:A? B disebut fungsi SUBJEKTIF. Karena setiap kodomain berpasangan dengan domain.</span></li>
<li><span style="color: #444444; font-family: 'PT Sans Narrow'; font-size: 16px; line-height: 20.7999992370605px; text-align: left;">Fungsi f:A? B disebut fungsi BIJEKTIF. Karena sebuah fungsi bersifat injektif sekaligus subjektif (korespondensi satu-satu). Maka jumlah anggota himpunan harus sama n(A) = n(B)</span></li>
</ol>
<br />
<span style="color: #444444; font-family: 'PT Sans Narrow'; font-size: 16px; line-height: 20.7999992370605px; text-align: left;"><b>Jenis-Jenis Fungsi</b></span><br />
<b><br style="color: #444444; font-family: 'PT Sans Narrow'; font-size: 16px; line-height: 20.7999992370605px; text-align: left;" /></b><span style="color: #444444; font-family: 'PT Sans Narrow'; font-size: 16px; line-height: 20.7999992370605px; text-align: left;">Jenis-jenis fungsi yang perlu kita ketahui diantaranya adalah :</span><br />
<br style="color: #444444; font-family: 'PT Sans Narrow'; font-size: 16px; line-height: 20.7999992370605px; text-align: left;" />
<span style="color: #444444; font-family: 'PT Sans Narrow'; font-size: 16px; line-height: 20.7999992370605px; text-align: left;">A). <b>Fungsi Konstan</b></span><br />
<span style="color: #444444; font-family: 'PT Sans Narrow'; font-size: 16px; line-height: 20.7999992370605px; text-align: left;">Suatu fungsi f : A?B ditentukan dengan rumus f(x) disebut fungsi konstan. Apabila untuk setiap anggota domain fungsi selalu berlaku f(x) = C, di mana C bilangan konstan.</span><br />
<br style="color: #444444; font-family: 'PT Sans Narrow'; font-size: 16px; line-height: 20.7999992370605px; text-align: left;" />
<span style="color: #444444; font-family: 'PT Sans Narrow'; font-size: 16px; line-height: 20.7999992370605px; text-align: left;">B). <b>Fungsi Identitas</b></span><br />
<span style="color: #444444; font-family: 'PT Sans Narrow'; font-size: 16px; line-height: 20.7999992370605px; text-align: left;">Fungsi Identitas adalah suatu fungsi f yang dinyatakan dalam rumus f(x) = x. Fungsi identitas sering dinyatakan dengan lambang I sehingga I(x) = x.</span><br />
<br style="color: #444444; font-family: 'PT Sans Narrow'; font-size: 16px; line-height: 20.7999992370605px; text-align: left;" />
<span style="color: #444444; font-family: 'PT Sans Narrow'; font-size: 16px; line-height: 20.7999992370605px; text-align: left;"><b>C). Fungsi Modulus Atau Fungsi Harga Mutlak</b></span><br />
<span style="color: #444444; font-family: 'PT Sans Narrow'; font-size: 16px; line-height: 20.7999992370605px; text-align: left;">Fungsi modulus adalah fungsi f yang memuat bentuk nilai mutlak.</span><br />
<br style="color: #444444; font-family: 'PT Sans Narrow'; font-size: 16px; line-height: 20.7999992370605px; text-align: left;" />
<span style="color: #444444; font-family: 'PT Sans Narrow'; font-size: 16px; line-height: 20.7999992370605px; text-align: left;"><b>D). Fungsi Linear</b></span><br />
<span style="color: #444444; font-family: 'PT Sans Narrow'; font-size: 16px; line-height: 20.7999992370605px; text-align: left;">Suatu fungsi f(x) disebut fungsi linear apabila fungsi itu ditentukan oleh f(x) = ax + b, di mana a ? 0, a dan b bilangan konstan dan grafiknya berupa garis lurus.</span><br />
<br style="color: #444444; font-family: 'PT Sans Narrow'; font-size: 16px; line-height: 20.7999992370605px; text-align: left;" />
<b><span style="color: #444444; font-family: 'PT Sans Narrow'; font-size: 16px; line-height: 20.7999992370605px; text-align: left;">E). Fungsi Kuadrat</span></b><span style="color: #444444; font-family: 'PT Sans Narrow'; font-size: 16px; line-height: 20.7999992370605px; text-align: left;">Suatu fungsi f(x) disebut fungsi kuadrat apabila fungsi itu ditentukan oleh f(x) = ax2 + bx + c, di mana a ? 0 dan a, b, dan c bilangan konstan dan grafiknya berupa parabola.</span><br />
<br style="color: #444444; font-family: 'PT Sans Narrow'; font-size: 16px; line-height: 20.7999992370605px; text-align: left;" />
<b><span style="color: #444444; font-family: 'PT Sans Narrow'; font-size: 16px; line-height: 20.7999992370605px; text-align: left;">F). Fungsi Tangga (Bertingkat)</span></b><span style="color: #444444; font-family: 'PT Sans Narrow'; font-size: 16px; line-height: 20.7999992370605px; text-align: left;">Suatu fungsi f(x) disebut fungsi tangga apabila grafik fungsi f(x) berbentuk interval-interval yang sejajar.</span><br />
<br style="color: #444444; font-family: 'PT Sans Narrow'; font-size: 16px; line-height: 20.7999992370605px; text-align: left;" />
<b><span style="color: #444444; font-family: 'PT Sans Narrow'; font-size: 16px; line-height: 20.7999992370605px; text-align: left;">G). Fungsi Modulus</span></b><span style="color: #444444; font-family: 'PT Sans Narrow'; font-size: 16px; line-height: 20.7999992370605px; text-align: left;">Suatu fungsi f(x) disebut fungsi modulus (mutlak) apabila fungsi ini memetakan setiap bilangan real pada domain fungsi ke unsur harga mutlaknya.</span><br />
<br style="color: #444444; font-family: 'PT Sans Narrow'; font-size: 16px; line-height: 20.7999992370605px; text-align: left;" />
<b><span style="color: #444444; font-family: 'PT Sans Narrow'; font-size: 16px; line-height: 20.7999992370605px; text-align: left;">H). Fungsi Ganjil Dan Fungsi Genap</span></b><span style="color: #444444; font-family: 'PT Sans Narrow'; font-size: 16px; line-height: 20.7999992370605px; text-align: left;">Suatu fungsi f(x) disebut fungsi ganjil apabila berlaku f(–x) = –f(x) dan disebut fungsi genap apabila berlaku f(–x) = f(x). Jika f(–x) ? –f(x) maka fungsi ini tidak genap dan tidak ganjil.</span><br />
<span style="color: #444444; font-family: 'PT Sans Narrow'; font-size: 16px; line-height: 20.7999992370605px; text-align: left;"><br /></span><span style="color: #444444; font-family: 'PT Sans Narrow'; font-size: 16px; line-height: 20.7999992370605px; text-align: left;">Fungsi Invers</span><br />
<br style="color: #444444; font-family: 'PT Sans Narrow'; font-size: 16px; line-height: 20.7999992370605px; text-align: left;" />
<span style="color: #444444; font-family: 'PT Sans Narrow'; font-size: 16px; line-height: 20.7999992370605px; text-align: left;">Semua himpunan yang dipetakan oleh fungsi mempunyai invers. Invers dari himpunan </span><span style="color: #444444; font-family: 'PT Sans Narrow'; font-size: 16px; line-height: 20.7999992370605px; text-align: left;">tersebut dapat berupa fungsi atau bukan fungsi.</span><br />
<span style="color: #444444; font-family: 'PT Sans Narrow'; font-size: 16px; line-height: 20.7999992370605px; text-align: left;">Suatu fungsi f akan mempunyai invers, yaitu f –1 jika dan hanya jika fungsi f bijektif </span><span style="color: #444444; font-family: 'PT Sans Narrow'; font-size: 16px; line-height: 20.7999992370605px; text-align: left;">atau dalam korespondensi satu-satu.</span><br />
<span style="color: #444444; font-family: 'PT Sans Narrow'; font-size: 16px; line-height: 20.7999992370605px; text-align: left;">Untuk menentukan fungsi invers dari suatu fungsi dapat dilakukan dengan cara </span><span style="color: #444444; font-family: 'PT Sans Narrow'; font-size: 16px; line-height: 20.7999992370605px; text-align: left;">berikut ini.</span><br />
<br style="color: #444444; font-family: 'PT Sans Narrow'; font-size: 16px; line-height: 20.7999992370605px; text-align: left;" />
<span style="color: #444444; font-family: 'PT Sans Narrow'; font-size: 16px; line-height: 20.7999992370605px; text-align: left;">a. Buatlah permisalan f(x) = y pada persamaan.</span><br />
<span style="color: #444444; font-family: 'PT Sans Narrow'; font-size: 16px; line-height: 20.7999992370605px; text-align: left;">b. Persamaan tersebut disesuaikan dengan f(x) = y, sehingga ditemukan fungsi dalam y dan nyatakanlah x = f(y).</span><br />
<span style="color: #444444; font-family: 'PT Sans Narrow'; font-size: 16px; line-height: 20.7999992370605px; text-align: left;">c. Gantilah y dengan x, sehingga f(y) = f –1(x).</span><br />
<span style="color: #444444; font-family: 'PT Sans Narrow'; font-size: 16px; line-height: 20.7999992370605px; text-align: left;"><br /></span><b><span style="color: #444444; font-family: 'PT Sans Narrow'; font-size: 16px; line-height: 20.7999992370605px; text-align: left;">Aljabar Fungsi</span></b><br />
<span style="color: #444444; font-family: 'PT Sans Narrow'; font-size: 16px; line-height: 20.7999992370605px; text-align: left;">a. Penjumlahan f dan g didefinisikan (f + g) (x) = f(x) + g(x).</span><br />
<span style="color: #444444; font-family: 'PT Sans Narrow'; font-size: 16px; line-height: 20.7999992370605px; text-align: left;">b. Pengurangan f dan g didefinisikan (f – g)(x) = f(x) – g(x).</span><br />
<span style="color: #444444; font-family: 'PT Sans Narrow'; font-size: 16px; line-height: 20.7999992370605px; text-align: left;">c. Perkalian f dan g didefinisikan (f +g)(x) = f(x) + g(x).</span><br />
<br style="color: #444444; font-family: 'PT Sans Narrow'; font-size: 16px; line-height: 20.7999992370605px; text-align: left;" />
<b><span style="color: #444444; font-family: 'PT Sans Narrow'; font-size: 16px; line-height: 20.7999992370605px; text-align: left;">Fungsi Komposisi</span></b><span style="color: #444444; font-family: 'PT Sans Narrow'; font-size: 16px; line-height: 20.7999992370605px; text-align: left;">Komposisi fungsi adalah penggolongan beberapa fungsi menjadi sebuah fungsi</span></div>
Triwahyuni2595http://www.blogger.com/profile/12964625012619417882noreply@blogger.com5tag:blogger.com,1999:blog-2541523996403269088.post-50639515676162191522015-01-01T20:57:00.001-08:002015-01-02T06:15:51.416-08:00DAFTAR MATERI KELAS XI<br />
<ol>
<li><a href="http://www.triwahyuni2595.co.vu/2015/01/persamaan-garis-lurus_1.html">Persamaan Garis Lurus</a></li>
<li><a href="http://www.triwahyuni2595.co.vu/2015/01/trigonometri.html">Trigonometri</a></li>
<li><a href="http://www.triwahyuni2595.co.vu/2015/01/lingkaran.html">Lingkaran</a></li>
</ol>
Triwahyuni2595http://www.blogger.com/profile/12964625012619417882noreply@blogger.com0tag:blogger.com,1999:blog-2541523996403269088.post-6177927359509877222015-01-01T20:55:00.001-08:002015-01-01T20:55:08.337-08:00Lingkaran<div class="MsoNormal" style="background-color: white; border: 0px; color: #474747; font-family: Arial, Verdana; font-size: 14px; margin: 0px 0px 0.0001pt; padding: 0px; text-align: justify; vertical-align: baseline;">
<strong style="background-color: #f9f9f9; border: 0px; color: black; font-family: 'Lucida Grande', Lucida, Verdana, sans-serif; line-height: 22.3999996185303px; margin: 0px; outline: 0px; padding: 0px; text-align: start; vertical-align: baseline;">Persamaan lingkaran</strong><span style="background-color: #f9f9f9; color: black; font-family: 'Lucida Grande', Lucida, Verdana, sans-serif; line-height: 22.3999996185303px; text-align: start;"> merupakan suatu persamaan yang membentuk lingkaran pada koordinat Cartesius.</span></div>
<div class="MsoNormal" style="background-color: white; border: 0px; color: #474747; font-family: Arial, Verdana; margin: 0px 0px 0.0001pt; padding: 0px; text-align: justify; vertical-align: baseline;">
<div style="font-size: 14px;">
<span style="background-color: #f9f9f9; color: black; font-family: 'Lucida Grande', Lucida, Verdana, sans-serif; line-height: 22.3999996185303px; text-align: start;">Persamaan lingkaran yang berpusat di </span><img alt="O(0,0) " class="latex" data-lazy-loaded="true" src="http://s0.wp.com/latex.php?latex=O%280%2C0%29+&bg=ffffff&fg=000000&s=0" style="-webkit-box-shadow: rgba(0, 0, 0, 0.172549) 0px 1px 2px; background-color: #f9f9f9; border-radius: 3px; border: none; box-shadow: rgba(0, 0, 0, 0.172549) 0px 1px 2px; color: black; display: inline; font-family: 'Lucida Grande', Lucida, Verdana, sans-serif; height: auto; line-height: 22.3999996185303px; max-width: 100%; text-align: start; vertical-align: middle;" title="O(0,0) " /><span style="background-color: #f9f9f9; color: black; font-family: 'Lucida Grande', Lucida, Verdana, sans-serif; line-height: 22.3999996185303px; text-align: start;"> dan berjari-jari </span><img alt="r" class="latex" data-lazy-loaded="true" src="http://s0.wp.com/latex.php?latex=r&bg=ffffff&fg=000000&s=0" style="-webkit-box-shadow: rgba(0, 0, 0, 0.172549) 0px 1px 2px; background-color: #f9f9f9; border-radius: 3px; border: none; box-shadow: rgba(0, 0, 0, 0.172549) 0px 1px 2px; color: black; display: inline; font-family: 'Lucida Grande', Lucida, Verdana, sans-serif; height: auto; line-height: 22.3999996185303px; max-width: 100%; text-align: start; vertical-align: middle;" title="r" /><span style="background-color: #f9f9f9; color: black; font-family: 'Lucida Grande', Lucida, Verdana, sans-serif; line-height: 22.3999996185303px; text-align: start;"> adalah </span><img alt="x^2 + y^2 = r" class="latex" data-lazy-loaded="true" src="http://s0.wp.com/latex.php?latex=x%5E2+%2B+y%5E2+%3D+r&bg=ffffff&fg=000000&s=0" style="-webkit-box-shadow: rgba(0, 0, 0, 0.172549) 0px 1px 2px; background-color: #f9f9f9; border-radius: 3px; border: none; box-shadow: rgba(0, 0, 0, 0.172549) 0px 1px 2px; color: black; display: inline; font-family: 'Lucida Grande', Lucida, Verdana, sans-serif; height: auto; line-height: 22.3999996185303px; max-width: 100%; text-align: start; vertical-align: middle;" title="x^2 + y^2 = r" /></div>
<div style="border: 0px; color: #444444; font-family: 'Lucida Grande', Lucida, Verdana, sans-serif; line-height: 22.3999996185303px; margin: 1em 0px; outline: 0px; padding: 0px; text-align: start; vertical-align: baseline;">
<span style="font-size: small;"><b>Bentuk Umum Persamaan Lingkaran</b></span></div>
<div style="border: 0px; color: black; font-family: 'Lucida Grande', Lucida, Verdana, sans-serif; font-size: 14px; line-height: 22.3999996185303px; margin-bottom: 1em; margin-top: 1em; outline: 0px; padding: 0px; text-align: start; vertical-align: baseline;">
Jika kita menjabarkan persamaan <img alt=" (x-a)^2 + (y-b)^2 = r^2" class="latex" data-lazy-loaded="true" src="http://s0.wp.com/latex.php?latex=+%28x-a%29%5E2+%2B+%28y-b%29%5E2+%3D+r%5E2&bg=ffffff&fg=000000&s=0" style="-webkit-box-shadow: rgba(0, 0, 0, 0.172549) 0px 1px 2px; border-radius: 3px; border: none; box-shadow: rgba(0, 0, 0, 0.172549) 0px 1px 2px; display: inline; height: auto; max-width: 100%; vertical-align: middle;" title=" (x-a)^2 + (y-b)^2 = r^2" /> akan didapat:<br />
<img alt="x^2 + y^2 - 2ax - 2by + a^2 + b^2 - r^2 = 0" class="latex" data-lazy-loaded="true" src="http://s0.wp.com/latex.php?latex=x%5E2+%2B+y%5E2+-+2ax+-+2by+%2B+a%5E2+%2B+b%5E2+-+r%5E2+%3D+0&bg=ffffff&fg=000000&s=0" style="-webkit-box-shadow: rgba(0, 0, 0, 0.172549) 0px 1px 2px; border-radius: 3px; border: none; box-shadow: rgba(0, 0, 0, 0.172549) 0px 1px 2px; display: inline; height: auto; max-width: 100%; vertical-align: middle;" title="x^2 + y^2 - 2ax - 2by + a^2 + b^2 - r^2 = 0" /><br />
Dengan mensubstitusikan <img alt="A = -2a, B = -2b" class="latex" data-lazy-loaded="true" src="http://s0.wp.com/latex.php?latex=A+%3D+-2a%2C+B+%3D+-2b&bg=ffffff&fg=000000&s=0" style="-webkit-box-shadow: rgba(0, 0, 0, 0.172549) 0px 1px 2px; border-radius: 3px; border: none; box-shadow: rgba(0, 0, 0, 0.172549) 0px 1px 2px; display: inline; height: auto; max-width: 100%; vertical-align: middle;" title="A = -2a, B = -2b" />, dan <img alt="C = a^2 + b^2 - r^2" class="latex" data-lazy-loaded="true" src="http://s0.wp.com/latex.php?latex=C+%3D+a%5E2+%2B+b%5E2+-+r%5E2&bg=ffffff&fg=000000&s=0" style="-webkit-box-shadow: rgba(0, 0, 0, 0.172549) 0px 1px 2px; border-radius: 3px; border: none; box-shadow: rgba(0, 0, 0, 0.172549) 0px 1px 2px; display: inline; height: auto; max-width: 100%; vertical-align: middle;" title="C = a^2 + b^2 - r^2" />, persamaan tersebut menjadi:<br />
<img alt="x^2 + y^2 + Ax + By + C = 0" class="latex" data-lazy-loaded="true" src="http://s0.wp.com/latex.php?latex=x%5E2+%2B+y%5E2+%2B+Ax+%2B+By+%2B+C+%3D+0&bg=ffffff&fg=000000&s=0" style="-webkit-box-shadow: rgba(0, 0, 0, 0.172549) 0px 1px 2px; border-radius: 3px; border: none; box-shadow: rgba(0, 0, 0, 0.172549) 0px 1px 2px; display: inline; height: auto; max-width: 100%; vertical-align: middle;" title="x^2 + y^2 + Ax + By + C = 0" /><br />
Ini merupakan bentuk umum persamaan lingkaran yang berpusat di titik <img alt="P(a,b) " class="latex" data-lazy-loaded="true" src="http://s0.wp.com/latex.php?latex=P%28a%2Cb%29+&bg=ffffff&fg=000000&s=0" style="-webkit-box-shadow: rgba(0, 0, 0, 0.172549) 0px 1px 2px; border-radius: 3px; border: none; box-shadow: rgba(0, 0, 0, 0.172549) 0px 1px 2px; display: inline; height: auto; max-width: 100%; vertical-align: middle;" title="P(a,b) " /> dan jari-jari <img alt="r" class="latex" data-lazy-loaded="true" src="http://s0.wp.com/latex.php?latex=r&bg=ffffff&fg=000000&s=0" style="-webkit-box-shadow: rgba(0, 0, 0, 0.172549) 0px 1px 2px; border-radius: 3px; border: none; box-shadow: rgba(0, 0, 0, 0.172549) 0px 1px 2px; display: inline; height: auto; max-width: 100%; vertical-align: middle;" title="r" />.<br />
Jari-jari lingkaran tersebut adalah <img alt="r = \sqrt{\frac{1}{4} A^2 + \frac{1}{4} B^2 - C}" class="latex" data-lazy-loaded="true" src="http://s0.wp.com/latex.php?latex=r+%3D+%5Csqrt%7B%5Cfrac%7B1%7D%7B4%7D+A%5E2+%2B+%5Cfrac%7B1%7D%7B4%7D+B%5E2+-+C%7D&bg=ffffff&fg=000000&s=0" style="-webkit-box-shadow: rgba(0, 0, 0, 0.172549) 0px 1px 2px; border-radius: 3px; border: none; box-shadow: rgba(0, 0, 0, 0.172549) 0px 1px 2px; display: inline; height: auto; max-width: 100%; vertical-align: middle;" title="r = \sqrt{\frac{1}{4} A^2 + \frac{1}{4} B^2 - C}" /> dan pusatnya <img alt=" (-\frac{1}{2}A, -\frac{1}{2}B) " class="latex" data-lazy-loaded="true" src="http://s0.wp.com/latex.php?latex=+%28-%5Cfrac%7B1%7D%7B2%7DA%2C+-%5Cfrac%7B1%7D%7B2%7DB%29+&bg=ffffff&fg=000000&s=0" style="-webkit-box-shadow: rgba(0, 0, 0, 0.172549) 0px 1px 2px; border-radius: 3px; border: none; box-shadow: rgba(0, 0, 0, 0.172549) 0px 1px 2px; display: inline; height: auto; max-width: 100%; vertical-align: middle;" title=" (-\frac{1}{2}A, -\frac{1}{2}B) " /></div>
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Triwahyuni2595http://www.blogger.com/profile/12964625012619417882noreply@blogger.com8tag:blogger.com,1999:blog-2541523996403269088.post-3251652139127632292015-01-01T20:54:00.001-08:002015-01-01T20:54:16.404-08:00Trigonometri<div class="MsoNormal" style="background-color: white; border: 0px; color: #474747; font-family: Arial, Verdana; font-size: 14px; margin: 0px 0px 0.0001pt; padding: 0px; text-align: justify; vertical-align: baseline;">
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<span style="background-color: white;"><span lang="EN-US" style="font-family: 'Times New Roman', serif; font-size: 12pt; line-height: 18.3999996185303px; text-align: start;">Trigonometri berasal</span><span lang="EN-US" style="font-family: 'Times New Roman', serif; font-size: 12pt; line-height: 18.3999996185303px; text-align: start;"> dari </span><span lang="EN-US" style="font-family: Georgia, Utopia, 'Palatino Linotype', Palatino, serif; line-height: 21.7350006103516px; text-align: start;"><span style="font-family: 'Times New Roman', serif; font-size: 12pt; line-height: 18.3999996185303px;"><i>bahasa Yunani</i></span></span><span lang="EN-US" style="font-family: 'Times New Roman', serif; font-size: 12pt; line-height: 18.3999996185303px; text-align: start;"> yaitu <i>trigonon</i> yang berarti <i>tiga sudut</i> dan <i>metro</i> yang berarti <i>mengukur</i> adalah sebuah cabang </span><span lang="EN-US" style="font-family: Georgia, Utopia, 'Palatino Linotype', Palatino, serif; line-height: 21.7350006103516px; text-align: start;"><span style="font-family: 'Times New Roman', serif; font-size: 12pt; line-height: 18.3999996185303px;">matematika </span></span><span lang="EN-US" style="font-family: 'Times New Roman', serif; font-size: 12pt; line-height: 18.3999996185303px; text-align: start;">yang berhadapan dengan </span><span lang="EN-US" style="font-family: Georgia, Utopia, 'Palatino Linotype', Palatino, serif; line-height: 21.7350006103516px; text-align: start;"><span style="font-family: 'Times New Roman', serif; font-size: 12pt; line-height: 18.3999996185303px;">sudut</span></span><span lang="EN-US" style="font-family: 'Times New Roman', serif; font-size: 12pt; line-height: 18.3999996185303px; text-align: start;"> </span><span lang="EN-US" style="font-family: Georgia, Utopia, 'Palatino Linotype', Palatino, serif; line-height: 21.7350006103516px; text-align: start;"><span style="font-family: 'Times New Roman', serif; font-size: 12pt; line-height: 18.3999996185303px;">segitiga</span></span><span lang="EN-US" style="font-family: 'Times New Roman', serif; font-size: 12pt; line-height: 18.3999996185303px; text-align: start;"> dan fungsi trigonometri seperti </span><span lang="EN-US" style="font-family: Georgia, Utopia, 'Palatino Linotype', Palatino, serif; line-height: 21.7350006103516px; text-align: start;"><span style="font-family: 'Times New Roman', serif; font-size: 12pt; line-height: 18.3999996185303px;">sinus</span></span><span lang="EN-US" style="font-family: 'Times New Roman', serif; font-size: 12pt; line-height: 18.3999996185303px; text-align: start;">, </span><span lang="EN-US" style="font-family: Georgia, Utopia, 'Palatino Linotype', Palatino, serif; line-height: 21.7350006103516px; text-align: start;"><span style="font-family: 'Times New Roman', serif; font-size: 12pt; line-height: 18.3999996185303px;">cosinus</span></span><span lang="EN-US" style="font-family: 'Times New Roman', serif; font-size: 12pt; line-height: 18.3999996185303px; text-align: start;">, dan </span><span lang="EN-US" style="font-family: Georgia, Utopia, 'Palatino Linotype', Palatino, serif; line-height: 21.7350006103516px; text-align: start;"><span style="font-family: 'Times New Roman', serif; font-size: 12pt; line-height: 18.3999996185303px;">tangen</span></span><span lang="EN-US" style="font-family: 'Times New Roman', serif; font-size: 12pt; line-height: 18.3999996185303px; text-align: start;">. Trigonometri memiliki hubungan dengan </span><span lang="EN-US" style="font-family: Georgia, Utopia, 'Palatino Linotype', Palatino, serif; line-height: 21.7350006103516px; text-align: start;"><span style="font-family: 'Times New Roman', serif; font-size: 12pt; line-height: 18.3999996185303px;">geometri</span></span><span lang="EN-US" style="font-family: 'Times New Roman', serif; font-size: 12pt; line-height: 18.3999996185303px; text-align: start;">, meskipun ada ketidaksetujuan tentang apa hubungannya, bagi beberapa orang, trigonometri adalah bagian dari geometri.</span></span></div>
Triwahyuni2595http://www.blogger.com/profile/12964625012619417882noreply@blogger.com0tag:blogger.com,1999:blog-2541523996403269088.post-84341567018483951822015-01-01T20:53:00.001-08:002015-01-01T20:53:35.756-08:00Persamaan Garis Lurus<div class="MsoNormal" style="background-color: white; border: 0px; color: #474747; font-family: Arial, Verdana; font-size: 14px; margin: 0px 0px 0.0001pt; padding: 0px; text-align: justify; vertical-align: baseline;">
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<span style="color: #333333; font-family: Roboto, Helvetica, Arial, sans-serif; line-height: 18.5714092254639px; text-align: start;">Persamaan garis lurus adalah suatu persamaan yang jika digambarkan ke dalam bidang koordinat Cartesius akan membentuk sebuah garis lurus. Cara menggambar persamaan garis lurus adalah dengan menentukan nilai x atau y secara acak. Perlu diingat bahwa dua titik sudah cukup untuk membuat garis lurus pada bidang koordinat Cartesius. </span></div>
Triwahyuni2595http://www.blogger.com/profile/12964625012619417882noreply@blogger.com0tag:blogger.com,1999:blog-2541523996403269088.post-33121794216787351512015-01-01T20:52:00.001-08:002015-01-02T06:17:11.842-08:00DAFTAR MATERI KELAS IX<br />
<ol>
<li><a href="http://www.triwahyuni2595.co.vu/2015/01/statistika.html">Statistika</a></li>
<li><a href="http://www.triwahyuni2595.co.vu/2015/01/peluang.html">Peluang</a></li>
<li><a href="http://www.triwahyuni2595.co.vu/2015/01/pola-bilangan-barisan-dan-deret.html">Pola Bilangan, Barisan dan Deret</a></li>
</ol>
Triwahyuni2595http://www.blogger.com/profile/12964625012619417882noreply@blogger.com0tag:blogger.com,1999:blog-2541523996403269088.post-30425390015594817132015-01-01T20:49:00.001-08:002015-01-01T20:49:26.164-08:00Pola Bilangan, Barisan, dan Deret<div style="background-color: white; border: 0px; color: #111111; font-family: Arial, Verdana; line-height: 1; margin: 0px 0px 1em; padding: 0px; text-align: justify; vertical-align: baseline;">
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<span style="color: #333333; font-family: Arial, Tahoma, Helvetica, FreeSans, sans-serif; font-size: 15px; line-height: 20.7900009155273px;">Untuk memecahkan suatu masalah, harus lebih dahulu benar-benar memahami masalahnya. Kemudian menuliskan apa yang diketahui dan apa yang harus dicari dari masalah tersebut. Selanjutnya membuat pola jawaban dari masalah tersebut sudah memenuhi syarat-syarat yang ditentukan atau belum. Jika satu pola dapat diketahui dari sekumpulan data atau dengan melakukan manipulasi data, maka kita dapat menggunakan pola tersebut untuk menyelesaikan masalah yang harus dipecahkan.</span></div>
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<span style="color: #333333; font-family: Arial, Tahoma, Helvetica, FreeSans, sans-serif; font-size: 15px; line-height: 20.7900009155273px;"><b>Barisan </b></span><span style="color: #333333; font-family: Arial, Tahoma, Helvetica, FreeSans, sans-serif; font-size: 15px; line-height: 20.7900009155273px;">Sekumpulan bilangan yang telah terurut dan memiliki pola tertentu (suatu aturan tertentu).</span></div>
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<b style="color: #333333; font-family: Arial, Tahoma, Helvetica, FreeSans, sans-serif; font-size: 15px; line-height: 20.7900009155273px;">Barisan Bilangan Aritmatika : </b><span style="color: #333333; font-family: Arial, Tahoma, Helvetica, FreeSans, sans-serif; font-size: 15px; line-height: 20.7900009155273px;">Barisan bilangan yang memiliki </span><b style="color: #333333; font-family: Arial, Tahoma, Helvetica, FreeSans, sans-serif; font-size: 15px; line-height: 20.7900009155273px;"><u>selisih / beda</u></b><span style="color: #333333; font-family: Arial, Tahoma, Helvetica, FreeSans, sans-serif; font-size: 15px; line-height: 20.7900009155273px;"> yang tetap.</span></div>
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<b><u><span style="font-family: 'Times New Roman', serif; font-size: 12pt; line-height: 18.3999996185303px;">Barisan Geometri / Barisan Ukur</span></u></b></div>
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<span style="font-family: 'Times New Roman', serif; font-size: 12pt; line-height: 18.3999996185303px;">Sekumpulan / barisan bilangan /yang memiliki rasio atau faktor pengali yang sama. Atau dengan kata lain barisan bilangan yang tiap sukunya diperoleh dari suku sebelumnya dengan mengalikan atau membagi dengan suatu bilangan tetap.</span></div>
<span style="color: #333333; font-family: Arial, Tahoma, Helvetica, FreeSans, sans-serif;"><span style="font-size: 15px; line-height: 20.7900009155273px;"><b>Deret </b></span></span><span style="color: #333333; font-family: Arial, Tahoma, Helvetica, FreeSans, sans-serif; font-size: 15px; line-height: 20.7900009155273px; text-indent: 1cm;">Jumlah yang di tunjuk oleh suku – suku dalam suatu barisan bilangan.</span><br />
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<span style="font-family: 'Times New Roman', serif; font-size: 12pt; line-height: 18.3999996185303px;"> Bentuk Umum : </span><b><span style="font-family: 'Times New Roman', serif; font-size: 14pt; line-height: 21.4666652679443px;">S<sub>n</sub> = U<sub>1</sub> + U<sub>2</sub> + U<sub>3</sub> + ........ + U<sub>n</sub></span></b></div>
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<span style="font-family: 'Times New Roman', serif; font-size: 14pt; line-height: 21.4666652679443px;"> </span><span style="font-family: 'Times New Roman', serif; font-size: 12pt; line-height: 18.3999996185303px;"></span></div>
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<span style="font-family: 'Times New Roman', serif; font-size: 14pt; line-height: 21.4666652679443px;"> </span><span style="font-family: 'Times New Roman', serif; font-size: 12pt; line-height: 18.3999996185303px;">S<sub>n</sub> = Jumlah n suku pertama U<sub>n</sub> = Suku ke-n</span></div>
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<b><span style="font-family: 'Times New Roman', serif; font-size: 12pt; line-height: 18.3999996185303px;">Deret Aritmatika</span></b><span style="font-family: 'Times New Roman', serif; font-size: 12pt; line-height: 18.3999996185303px;"></span></div>
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<span style="font-family: 'Times New Roman', serif; font-size: 12pt; line-height: 18.3999996185303px;"> adalah Jumlah suku – suku yang di tunjukkan oleh <b>barisan Aritmatika</b></span></div>
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<span style="font-family: Calibri, sans-serif; font-size: 11pt; line-height: 16.8666667938232px;"></span><b><span style="font-family: 'Times New Roman', serif; font-size: 14pt; line-height: 21.4666652679443px;"></span></b></div>
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<span style="font-family: 'Times New Roman', serif; font-size: 12pt; line-height: 18.3999996185303px;"> Keterangan :</span></div>
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<span style="font-family: 'Times New Roman', serif; font-size: 12pt; line-height: 18.3999996185303px;"> S<sub>n</sub> = Jumlah n suku pertama U<sub>n</sub> = Suku ke-n</span></div>
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<span style="font-family: 'Times New Roman', serif; font-size: 12pt; line-height: 18.3999996185303px;"> a = Suku ke-1 b = Selisih / beda</span></div>
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<span style="font-family: 'Times New Roman', serif; font-size: 12pt; line-height: 18.3999996185303px;">Hubungan Deret Aritmatika dengan Barisana Arismatika :</span></div>
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<span style="font-family: 'Times New Roman', serif; font-size: 12pt; line-height: 18.3999996185303px;">-<span style="font-family: 'Times New Roman'; font-size: 7pt; font-stretch: normal; line-height: normal;"> </span></span><b><span style="font-family: 'Times New Roman', serif; font-size: 14pt; line-height: 21.4666652679443px;">U<sub>n</sub> = S<sub>n</sub> – S<sub>n-1</sub></span></b><span style="font-family: 'Times New Roman', serif; font-size: 12pt; line-height: 18.3999996185303px;"></span></div>
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<span style="font-family: 'Times New Roman', serif; font-size: 12pt; line-height: 18.3999996185303px;">-<span style="font-family: 'Times New Roman'; font-size: 7pt; font-stretch: normal; line-height: normal;"> </span></span><b><span style="font-family: 'Times New Roman', serif; font-size: 14pt; line-height: 21.4666652679443px;">S<sub>n</sub> = ½ n. U<sub>t</sub></span></b></div>
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<b style="font-family: Arial, Tahoma, Helvetica, FreeSans, sans-serif; font-size: 15px; line-height: 20.7900009155273px;"><span style="font-family: 'Times New Roman', serif; font-size: 12pt; line-height: 18.3999996185303px;">Deret Geometri </span></b><span style="font-family: 'Times New Roman', serif; font-size: 12pt; line-height: 18.3999996185303px;"></span><span style="font-family: Arial, Tahoma, Helvetica, FreeSans, sans-serif;"><span style="font-size: 15px; line-height: 20.7900009155273px;"></span></span><br />
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<span style="font-family: 'Times New Roman', serif; font-size: 12pt; line-height: 18.3999996185303px;"> adalah Jumlah suku – suku yang di tunjukkan oleh <b>barisan Geometri</b></span></div>
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<span style="font-family: Calibri, sans-serif; font-size: 11pt; line-height: 16.8666667938232px;"></span><b><span style="font-family: 'Times New Roman', serif; font-size: 14pt; line-height: 21.4666652679443px;"></span></b></div>
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<span style="font-family: Calibri, sans-serif; font-size: 11pt; line-height: 16.8666667938232px;"></span><b><span style="font-family: 'Times New Roman', serif; font-size: 14pt; line-height: 21.4666652679443px;"></span></b></div>
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<span style="font-family: 'Times New Roman', serif; font-size: 12pt; line-height: 18.3999996185303px;">Keterangan</span></div>
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<span style="font-family: 'Times New Roman', serif; font-size: 12pt; line-height: 18.3999996185303px;"> S<sub>n</sub> = Jumlah n suku pertama a = Suku ke-1 r = rasio</span></div>
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<span style="font-family: 'Times New Roman', serif; font-size: 12pt; line-height: 18.3999996185303px;">Hubungan Deret Geometri dengan Barisana Geometri :</span></div>
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<ul style="font-family: Arial, Tahoma, Helvetica, FreeSans, sans-serif; font-size: 15px; line-height: 20.7900009155273px;">
<li><span style="font-family: 'Times New Roman', serif; font-size: 12pt; line-height: 18.3999996185303px; text-indent: -18pt;"><span style="font-family: 'Times New Roman'; font-size: 7pt; font-stretch: normal; line-height: normal;"> </span></span><b style="line-height: 20.7900009155273px; text-indent: -18pt;"><span style="font-family: 'Times New Roman', serif; font-size: 14pt; line-height: 21.4666652679443px;">U<sub>n</sub> = S<sub>n</sub> / S<sub>n-1</sub></span></b></li>
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<b><span style="font-family: 'Times New Roman', serif; font-size: 12pt; line-height: 18.3999996185303px;">Deret Geometri Tak HIngga</span></b></div>
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<span style="font-family: 'Times New Roman', serif; font-size: 12pt; line-height: 18.3999996185303px;">1.<span style="font-family: 'Times New Roman'; font-size: 7pt; font-stretch: normal; line-height: normal;"> </span></span><span style="font-family: 'Times New Roman', serif; font-size: 12pt; line-height: 18.3999996185303px;">Deret Geometri konvergen : jika – 1 < r < 1, maka </span><span style="font-family: Calibri, sans-serif; font-size: 11pt; line-height: 16.8666667938232px; position: relative; top: 11.5pt;"></span><span style="font-family: 'Times New Roman', serif; font-size: 12pt; line-height: 18.3999996185303px;"></span></div>
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<span style="font-family: 'Times New Roman', serif; font-size: 12pt; line-height: 18.3999996185303px;">2.<span style="font-family: 'Times New Roman'; font-size: 7pt; font-stretch: normal; line-height: normal;"> </span></span><span style="font-family: 'Times New Roman', serif; font-size: 12pt; line-height: 18.3999996185303px;">Deret Geometri Divergen : jika r </span><span style="font-family: Candara, sans-serif; font-size: 12pt; line-height: 18.3999996185303px;">≤</span><span style="font-family: 'Times New Roman', serif; font-size: 12pt; line-height: 18.3999996185303px;"> - 1 atau r </span><span style="font-family: Candara, sans-serif; font-size: 12pt; line-height: 18.3999996185303px;">≥</span><span style="font-family: 'Times New Roman', serif; font-size: 12pt; line-height: 18.3999996185303px;"> 1</span></div>
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Triwahyuni2595http://www.blogger.com/profile/12964625012619417882noreply@blogger.com0tag:blogger.com,1999:blog-2541523996403269088.post-1261063991096506472015-01-01T20:48:00.001-08:002015-01-01T20:48:38.640-08:00Peluang <div style="background-color: white; border: 0px; color: #111111; font-family: Arial, Verdana; line-height: 1; margin: 0px 0px 1em; padding: 0px; text-align: justify; vertical-align: baseline;">
<br /></div>
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<span style="color: black; font-family: Verdana, Arial, Helvetica, sans-serif; text-align: left;">Definisi kejadian :</span><br />
<br style="color: black; font-family: Verdana, Arial, Helvetica, sans-serif; text-align: left;" />
<span style="color: black; font-family: Verdana, Arial, Helvetica, sans-serif; text-align: left;">Kejadian atau peristiwa merupakan himpunan bagian dari ruang sampel</span><br />
<br style="color: black; font-family: Verdana, Arial, Helvetica, sans-serif; text-align: left;" />
<span style="color: black; font-family: Verdana, Arial, Helvetica, sans-serif; text-align: left;">Definisi peluang :</span><span style="color: black; font-family: Verdana, Arial, Helvetica, sans-serif; text-align: left;"><br /></span><br />
<span style="color: black; font-family: Verdana, Arial, Helvetica, sans-serif; text-align: left;">Peluang suatu kejadian yang diinginkan adalah perbandingan banyaknya titik sampel kejadian yang diinginkan itu dengan banyaknya anggota ruang sampel kejadian tersebut.</span><br />
<br />
<span style="color: black; font-family: Verdana, Arial, Helvetica, sans-serif; text-align: left;"><br /></span><span style="color: black; font-family: Verdana, Arial, Helvetica, sans-serif; text-align: left;">Peluang disebut juga dengan </span><em style="color: black; font-family: Verdana, Arial, Helvetica, sans-serif; text-align: left;"><b>nilai kemungkinan</b></em><span style="color: black; font-family: Verdana, Arial, Helvetica, sans-serif; text-align: left;">.</span></div>
Triwahyuni2595http://www.blogger.com/profile/12964625012619417882noreply@blogger.com0tag:blogger.com,1999:blog-2541523996403269088.post-25878315252510626912015-01-01T20:47:00.001-08:002015-01-01T20:47:37.396-08:00Statistika <div style="background-color: white; border: 0px; color: #111111; font-family: Arial, Verdana; line-height: 1; margin: 0px 0px 1em; padding: 0px; text-align: justify; vertical-align: baseline;">
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<b style="color: #474747; font-family: Arial, Helvetica, sans-serif; line-height: 18px;">statistika</b><span style="color: #474747; font-family: Arial, Helvetica, sans-serif; line-height: 18px;"> secara umum adalah ilmu yang berhubungan dengan cara-cara pengumpulan, pembulatan, penyusunan, pengolahan, penyajian, dan penganalisaan data. Objek sampel yang akan diteliti tersebut disebut </span><b style="color: #474747; font-family: Arial, Helvetica, sans-serif; line-height: 18px;">populasi</b><span style="color: #474747; font-family: Arial, Helvetica, sans-serif; line-height: 18px;"> dan kelompok kecil yang memiliki keseluruhan objek yang diselidiki disebut </span><b style="color: #474747; font-family: Arial, Helvetica, sans-serif; line-height: 18px;">sampel</b></div>
Triwahyuni2595http://www.blogger.com/profile/12964625012619417882noreply@blogger.com0tag:blogger.com,1999:blog-2541523996403269088.post-22251692752622909222015-01-01T20:46:00.001-08:002015-01-02T06:18:06.834-08:00DAFTAR MATERI KELAS VIII<br />
<ol>
<li><a href="http://www.triwahyuni2595.co.vu/2015/01/teorema-pythagoras.html">Teorema Phytagoras</a></li>
<li><a href="http://www.triwahyuni2595.co.vu/2015/01/kubus-dan-balok.html">Kubus dan Balok</a></li>
<li><a href="http://www.triwahyuni2595.co.vu/2015/01/persamaan-garis-lurus.html">Persamaan Garis Lurus</a></li>
</ol>
Triwahyuni2595http://www.blogger.com/profile/12964625012619417882noreply@blogger.com0tag:blogger.com,1999:blog-2541523996403269088.post-22659348165649729722015-01-01T20:41:00.000-08:002015-01-01T20:45:41.946-08:00PERSAMAAN GARIS LURUS<div style="background-color: white; border: 0px; color: #111111; font-family: Arial, Verdana; line-height: 20px; margin: 0px 0px 0.75em; padding: 0px; text-align: justify; vertical-align: baseline;">
<strong style="border: 0px; color: black; font-family: 'Lucida Grande', Lucida, Verdana, sans-serif; line-height: 22.3999996185303px; margin: 0px; outline: 0px; padding: 0px; text-align: start; vertical-align: baseline;">Persamaan garis lurus</strong><span style="color: black; font-family: 'Lucida Grande', Lucida, Verdana, sans-serif; line-height: 22.3999996185303px; text-align: start;"> </span><span style="font-weight: normal;"><span style="color: black; font-family: 'Lucida Grande', Lucida, Verdana, sans-serif; line-height: 22.3999996185303px; text-align: start;">adalah suatu garis lurus yang posisinya ditentukan dengan suatu persamaan. Misalnya persamaan </span><span style="-webkit-box-shadow: rgba(0, 0, 0, 0.172549) 0px 1px 2px; border-radius: 3px; box-shadow: rgba(0, 0, 0, 0.172549) 0px 1px 2px; height: auto; line-height: 22.3999996185303px;"><img alt="2x - 3y = 6" class="latex" data-lazy-loaded="true" src="http://s0.wp.com/latex.php?latex=2x+-+3y+%3D+6&bg=ffffff&fg=000000&s=0" style="-webkit-box-shadow: rgba(0, 0, 0, 0.172549) 0px 1px 2px; border-radius: 3px; border: none; box-shadow: rgba(0, 0, 0, 0.172549) 0px 1px 2px; color: black; display: inline; font-family: 'Lucida Grande', Lucida, Verdana, sans-serif; height: auto; line-height: 22.3999996185303px; max-width: 100%; text-align: start; vertical-align: middle;" title="2x - 3y = 6" /></span><span style="color: black; font-family: 'Lucida Grande', Lucida, Verdana, sans-serif; line-height: 22.3999996185303px; text-align: start;"> jika kita gambar pada </span><span style="border: 0px; color: black; font-family: 'Lucida Grande', Lucida, Verdana, sans-serif; line-height: 22.3999996185303px; margin: 0px; outline: 0px; padding: 0px; text-align: start; vertical-align: baseline;">koordinat Cartesius</span><span style="color: black; font-family: 'Lucida Grande', Lucida, Verdana, sans-serif; line-height: 22.3999996185303px; text-align: start;">, maka gambarnya akan berbentuk garis lurus.</span></span></div>
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<span style="font-size: small;"><b>Gradien Persamaan Garis Lurus</b></span></div>
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Gradien adalah besar kemiringan suatu garis terhadap sumbu <img alt="x" class="latex" data-lazy-loaded="true" src="http://s0.wp.com/latex.php?latex=x&bg=ffffff&fg=000000&s=0" style="-webkit-box-shadow: rgba(0, 0, 0, 0.172549) 0px 1px 2px; border-radius: 3px; border: none; box-shadow: rgba(0, 0, 0, 0.172549) 0px 1px 2px; display: inline; height: auto; max-width: 100%; vertical-align: middle;" title="x" />.</div>
<div style="background-color: white; border: 0px; color: black; font-family: 'Lucida Grande', Lucida, Verdana, sans-serif; font-size: 14px; font-weight: inherit; line-height: 22.3999996185303px; margin-bottom: 1em; margin-top: 1em; outline: 0px; padding: 0px; text-align: start; vertical-align: baseline;">
Bentuk umum persamaan garis lurus adalah <img alt="y = mx + c" class="latex" data-lazy-loaded="true" src="http://s0.wp.com/latex.php?latex=y+%3D+mx+%2B+c&bg=ffffff&fg=000000&s=0" style="-webkit-box-shadow: rgba(0, 0, 0, 0.172549) 0px 1px 2px; border-radius: 3px; border: none; box-shadow: rgba(0, 0, 0, 0.172549) 0px 1px 2px; display: inline; height: auto; max-width: 100%; vertical-align: middle;" title="y = mx + c" />, dengan m merupakan gradien, sedangkan <img alt="c" class="latex" data-lazy-loaded="true" src="http://s0.wp.com/latex.php?latex=c&bg=ffffff&fg=000000&s=0" style="-webkit-box-shadow: rgba(0, 0, 0, 0.172549) 0px 1px 2px; border-radius: 3px; border: none; box-shadow: rgba(0, 0, 0, 0.172549) 0px 1px 2px; display: inline; height: auto; max-width: 100%; vertical-align: middle;" title="c" /> suatu konstanta.</div>
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Jadi, <strong style="border: 0px; font-family: inherit; font-style: inherit; margin: 0px; outline: 0px; padding: 0px; vertical-align: baseline;">persamaan</strong> yang berbentuk <img alt="y = 2x + 5" class="latex" data-lazy-loaded="true" src="http://s0.wp.com/latex.php?latex=y+%3D+2x+%2B+5&bg=ffffff&fg=000000&s=0" style="-webkit-box-shadow: rgba(0, 0, 0, 0.172549) 0px 1px 2px; border-radius: 3px; border: none; box-shadow: rgba(0, 0, 0, 0.172549) 0px 1px 2px; display: inline; height: auto; max-width: 100%; vertical-align: middle;" title="y = 2x + 5" /> mempunyai gradien sebesar 2.</div>
<div style="background-color: white; border: 0px; color: black; font-family: 'Lucida Grande', Lucida, Verdana, sans-serif; font-size: 14px; font-weight: inherit; line-height: 22.3999996185303px; margin-bottom: 1em; margin-top: 1em; outline: 0px; padding: 0px; text-align: start; vertical-align: baseline;">
Untuk persamaan yang bentuknya <img alt="ax + by = c" class="latex" data-lazy-loaded="true" src="http://s0.wp.com/latex.php?latex=ax+%2B+by+%3D+c&bg=ffffff&fg=000000&s=0" style="-webkit-box-shadow: rgba(0, 0, 0, 0.172549) 0px 1px 2px; border-radius: 3px; border: none; box-shadow: rgba(0, 0, 0, 0.172549) 0px 1px 2px; display: inline; height: auto; max-width: 100%; vertical-align: middle;" title="ax + by = c" />, maka gradiennya adalah <img alt="-a/b" class="latex" data-lazy-loaded="true" src="http://s0.wp.com/latex.php?latex=-a%2Fb&bg=ffffff&fg=000000&s=0" style="-webkit-box-shadow: rgba(0, 0, 0, 0.172549) 0px 1px 2px; border-radius: 3px; border: none; box-shadow: rgba(0, 0, 0, 0.172549) 0px 1px 2px; display: inline; height: auto; max-width: 100%; vertical-align: middle;" title="-a/b" />.</div>
<div style="background-color: white; border: 0px; color: black; font-family: 'Lucida Grande', Lucida, Verdana, sans-serif; font-size: 14px; font-weight: inherit; line-height: 22.3999996185303px; margin-bottom: 1em; margin-top: 1em; outline: 0px; padding: 0px; text-align: start; vertical-align: baseline;">
Sedangkan gradien suatu garis yang melalui dua titik <img alt="P(x_1, y_1) " class="latex" data-lazy-loaded="true" src="http://s0.wp.com/latex.php?latex=P%28x_1%2C+y_1%29+&bg=ffffff&fg=000000&s=0" style="-webkit-box-shadow: rgba(0, 0, 0, 0.172549) 0px 1px 2px; border-radius: 3px; border: none; box-shadow: rgba(0, 0, 0, 0.172549) 0px 1px 2px; display: inline; height: auto; max-width: 100%; vertical-align: middle;" title="P(x_1, y_1) " /> dan <img alt="Q(x_2, y_2)" class="latex" data-lazy-loaded="true" src="http://s0.wp.com/latex.php?latex=Q%28x_2%2C+y_2%29&bg=ffffff&fg=000000&s=0" style="-webkit-box-shadow: rgba(0, 0, 0, 0.172549) 0px 1px 2px; border-radius: 3px; border: none; box-shadow: rgba(0, 0, 0, 0.172549) 0px 1px 2px; display: inline; height: auto; max-width: 100%; vertical-align: middle;" title="Q(x_2, y_2)" />, gradiennya didapat dengan menggunakan rumus:</div>
<div align="center" style="background-color: white; border: 0px; color: black; font-family: 'Lucida Grande', Lucida, Verdana, sans-serif; font-size: 14px; font-weight: inherit; line-height: 22.3999996185303px; margin-bottom: 1em; margin-top: 1em; outline: 0px; padding: 0px; vertical-align: baseline;">
<img alt="m=\frac{y_2 - y_1}{x_2 - x_1}" class="latex" data-lazy-loaded="true" src="http://s0.wp.com/latex.php?latex=m%3D%5Cfrac%7By_2+-+y_1%7D%7Bx_2+-+x_1%7D&bg=ffffff&fg=000000&s=0" style="-webkit-box-shadow: rgba(0, 0, 0, 0.172549) 0px 1px 2px; border-radius: 3px; border: none; box-shadow: rgba(0, 0, 0, 0.172549) 0px 1px 2px; display: inline; height: auto; max-width: 100%; vertical-align: middle;" title="m=\frac{y_2 - y_1}{x_2 - x_1}" /></div>
</div>
</div>
Triwahyuni2595http://www.blogger.com/profile/12964625012619417882noreply@blogger.com0tag:blogger.com,1999:blog-2541523996403269088.post-2874696408872197532015-01-01T20:40:00.002-08:002015-01-01T20:40:28.917-08:00KUBUS DAN BALOK<div style="background-color: white; border: 0px; color: #474747; font-family: Arial, Verdana; line-height: 20px; margin: 0px; padding: 0px; text-align: justify; vertical-align: baseline;">
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<b style="font-family: Arial, Helvetica, sans-serif; font-size: small; font-style: inherit; line-height: normal; text-align: left;">Kubus</b><span style="font-family: Arial, Helvetica, sans-serif; font-size: x-small; font-style: inherit; line-height: normal; text-align: left;"> </span><span style="font-weight: normal;"><span style="font-size: small;"><span style="font-family: Arial, Helvetica, sans-serif; font-style: inherit; line-height: normal; text-align: left;">adalah suatu bangun ruang yang dibatasi oleh </span><span style="font-family: Arial, Helvetica, sans-serif; font-style: inherit; line-height: normal; text-align: left;">enam buah sisi</span><span style="font-family: Arial, Helvetica, sans-serif; font-style: inherit; line-height: normal; text-align: left;"> berbentuk </span><span style="font-family: Arial, Helvetica, sans-serif; font-style: inherit; line-height: normal; text-align: left;">persegi yang kongruen</span></span></span></h2>
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<span style="background-color: white; font-size: x-small;"> Bangun kubus mempunyai ketentuan :</span></div>
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<li style="margin: 0px 0px 0.25em; padding: 0px;"><span style="background-color: white; font-size: x-small;">Terdapat 6 (enam) buah sisi yang berbentuk persegi dengan masing-masing luasnya sama</span></li>
<li style="margin: 0px 0px 0.25em; padding: 0px;"><span style="background-color: white; font-size: x-small;">Terdapat 12 (dua belas) rusuk dengan panjang yang sama</span></li>
<li style="margin: 0px 0px 0.25em; padding: 0px;"><span style="background-color: white; font-size: x-small;">Semua sudut bernilai 90 derajat atau siku-siku</span></li>
<li style="margin: 0px 0px 0.25em; padding: 0px;"><span style="background-color: white; font-size: x-small;">Rumus Volume Kubus = rusuk x rusuk x rusuk (rusuk pangkat 3)</span></li>
<li style="margin: 0px 0px 0.25em; padding: 0px;"><span style="background-color: white; font-size: x-small;">Rumus Keliling Kubus = 12 x rusuk</span></li>
<li style="margin: 0px 0px 0.25em; padding: 0px;"><span style="background-color: white; font-size: x-small;">Rumus Luas Permukaan Kubus = 6 x rusuk x rusuk</span></li>
<li style="margin: 0px 0px 0.25em; padding: 0px;"><span style="background-color: white; font-size: x-small;">Luas salah satu sisi = rusuk x rusuk</span></li>
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<span style="background-color: white; line-height: 14.9499998092651px;"><b style="font-size: 13px;">Balok</b><span style="font-weight: inherit;"><span style="font-size: 13px;"> </span>adalah suatu bangun ruang yang dibatasi oleh 6 persegi panjang , di mana setiap sisi persegipanjang berimpit dengan tepat satu sisi persegipanjang yang lain dan persegipanjang yang sehadap adalah kongruen.</span></span></div>
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<span style="background-color: white; font-family: Arial, Helvetica, sans-serif; line-height: 18.2000007629395px; text-align: left;">Bangun balok mempunyai ketentuan :</span></div>
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<li style="margin: 0px 0px 0.25em; padding: 0px;"><span style="background-color: white;">Rumus Volume Balok = p x l x t (sebenarnya sama dengan kubus, hanya saja kubus memiliki semua rusuk yang sama panjang).</span></li>
<li style="margin: 0px 0px 0.25em; padding: 0px;"><span style="background-color: white;">Luas Permukaan Balok = 2 x {(pxl) + (pxt) + (lxt)}</span></li>
<li style="margin: 0px 0px 0.25em; padding: 0px;"><span style="background-color: white;">Keliling Balok = 4 x (p + l + t)</span></li>
<li style="margin: 0px 0px 0.25em; padding: 0px;"><span style="background-color: white;">Diagonal Ruang = Akar dari (p kuadrat + l kuadrat + t kuadrat)</span></li>
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Triwahyuni2595http://www.blogger.com/profile/12964625012619417882noreply@blogger.com0tag:blogger.com,1999:blog-2541523996403269088.post-68384423001141055202015-01-01T20:39:00.000-08:002015-01-01T20:43:28.886-08:00TEOREMA PYTHAGORAS<div style="background-color: white; border: 0px; color: #474747; font-family: Arial, Verdana; line-height: 20px; margin: 0px; padding: 0px; text-align: justify; vertical-align: baseline;">
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Teorema Pythagoras</h2>
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<strong style="border: 0px; font-family: inherit; font-style: inherit; margin: 0px; outline: 0px; padding: 0px; vertical-align: baseline;">Teorema Pythagoras</strong> merupakan teorema yang menunjukkan hubungan panjang sisi-sisi pada segitiga siku-siku. Teorema ini telah lama diketahui sebelum Pythagoras, namun dia lah yang pertama kali memberikan pembuktian terhadap teorema ini.</div>
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<img alt="teorema pythagoras" class="alignleft size-medium wp-image-1042" data-lazy-loaded="true" src="http://www.sekolahmatematika.com/wp-content/uploads/2014/06/teorema-pythagoras-300x207.jpg" height="207" style="-webkit-box-shadow: rgba(0, 0, 0, 0.172549) 0px 1px 2px; border-radius: 3px; box-shadow: rgba(0, 0, 0, 0.172549) 0px 1px 2px; display: block; float: left; height: auto; margin: 0px 1.5em 1.5em 0px; max-width: 100%;" width="300" />Perhatikan segitiga siku-siku di samping.</div>
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Dengan sudut C siku-siku, maka berlaku hubungan: <img alt="c^2 = a^2 + b^2" class="latex" data-lazy-loaded="true" src="http://s0.wp.com/latex.php?latex=c%5E2+%3D+a%5E2+%2B+b%5E2&bg=ffffff&fg=000000&s=0" style="-webkit-box-shadow: rgba(0, 0, 0, 0.172549) 0px 1px 2px; border-radius: 3px; border: none; box-shadow: rgba(0, 0, 0, 0.172549) 0px 1px 2px; display: inline; height: auto; max-width: 100%; vertical-align: middle;" title="c^2 = a^2 + b^2" /></div>
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Teorema pythagoras ini hanya berlaku untuk segitiga siku-siku, yaitu segitiga yang besar salah satu sudutnya adalah 90 derajat. Jika semua besar sudutnya tidak ada yang menggunakan trigonometri, yang akan kamu pelajari di SMA.</div>
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Pembuktian Teorema Pythagoras</h2>
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Ada banyak cara pembuktian teorema ini oleh para matematikawan, namun cara di bawah ini lah yang pertama kali dibuktikan oleh Pythagoras, dengan menggunakan metode penyusunan kembali.</div>
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<img alt="pembuktian pythagoras" class="alignleft size-full wp-image-1043" data-lazy-loaded="true" src="http://www.sekolahmatematika.com/wp-content/uploads/2014/06/pembuktian-teorema-pythagoras.jpg" height="143" style="-webkit-box-shadow: rgba(0, 0, 0, 0.172549) 0px 1px 2px; border-radius: 3px; box-shadow: rgba(0, 0, 0, 0.172549) 0px 1px 2px; display: block; float: left; height: auto; margin: 0px 1.5em 1.5em 0px; max-width: 100%;" width="220" />(sumber gambar: wikipedia.org)</div>
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Perhatikan kedua gambar persegi di samping, yang berukuran sama (kongruen).</div>
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Pada persegi sebelah kiri, terdapat 4 segitiga kecil yang kongruen, serta sebuah persegi dengan panjang sisi c. Kemudian, keempat segitiga kecil tersebut disusun ulang menjadi seperti gambar persegi sebelah kanan.</div>
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Triwahyuni2595http://www.blogger.com/profile/12964625012619417882noreply@blogger.com2tag:blogger.com,1999:blog-2541523996403269088.post-42887315761379799872015-01-01T20:36:00.000-08:002015-01-02T06:18:40.482-08:00DAFTAR MATERI KELAS VII<br />
<ol>
<li><a href="http://www.triwahyuni2595.co.vu/2015/01/bilangan-bulat.html">Bilangan Bulat</a></li>
<li><a href="http://www.triwahyuni2595.co.vu/2015/01/aljabar.html">Aljabar</a></li>
<li><a href="http://www.triwahyuni2595.co.vu/2015/01/garis-dan-sudut.html">Garis Dan Sudut</a></li>
</ol>
Triwahyuni2595http://www.blogger.com/profile/12964625012619417882noreply@blogger.com0tag:blogger.com,1999:blog-2541523996403269088.post-23169008402771875762015-01-01T20:31:00.000-08:002015-01-01T20:31:01.648-08:00Garis dan Sudut<div style="font-family: Arial, Verdana; font-size: 14px; line-height: 20px; text-align: justify;">
<span style="font-family: Arial, Tahoma, Helvetica, FreeSans, sans-serif; font-size: x-small; line-height: 18.2000007629395px; text-align: left;"><span style="font-family: 'Comic Sans MS'; font-style: italic;"><b>Sudut</b></span><span style="font-family: 'Comic Sans MS'; font-style: italic;"> </span><span style="font-family: 'Comic Sans MS';">adalah</span><span style="font-family: 'Comic Sans MS';"> </span><span style="font-family: 'Comic Sans MS';">suatu</span><span style="font-family: 'Comic Sans MS';"> </span><span style="font-family: 'Comic Sans MS';">daerah</span><span style="font-family: 'Comic Sans MS';"> yang </span><span style="font-family: 'Comic Sans MS';">dibentuk</span><span style="font-family: 'Comic Sans MS';"> </span><span style="font-family: 'Comic Sans MS';">oleh</span><span style="font-family: 'Comic Sans MS';"> </span><span style="font-family: 'Comic Sans MS';">dua</span><span style="font-family: 'Comic Sans MS';"> </span><span style="font-family: 'Comic Sans MS';">buah</span><span style="font-family: 'Comic Sans MS';"></span></span><span style="font-family: Arial, Tahoma, Helvetica, FreeSans, sans-serif; font-size: x-small; line-height: 18.2000007629395px; text-align: left;"><span style="font-family: 'Comic Sans MS';"> </span><span style="font-family: 'Comic Sans MS';">sinar</span><span style="font-family: 'Comic Sans MS';"> </span><span style="font-family: 'Comic Sans MS';">garis</span><span style="font-family: 'Comic Sans MS';"> yang </span><span style="font-family: 'Comic Sans MS';">titik</span><span style="font-family: 'Comic Sans MS';"> </span><span style="font-family: 'Comic Sans MS';">pangkalnya</span><span style="font-family: 'Comic Sans MS';"></span><span style="font-family: 'Comic Sans MS';">berimpit</span><span style="font-family: 'Comic Sans MS';"> </span><span style="font-family: 'Comic Sans MS';">(</span><span style="font-family: 'Comic Sans MS';">bersekutu</span><span style="font-family: 'Comic Sans MS';">).</span></span></div>
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Jenis – jenis Sudut</div>
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<span style="font-family: Times, 'Times New Roman', serif; font-size: xx-small; line-height: 18.2000007629395px; text-align: start;"><span style="color: #04617b;">1.<span style="color: black;"> </span></span><span style="font-style: italic;">Sudut siku-siku</span>, yaitu sudut yang besarnya 90⁰.<br />2. <span style="font-style: italic;">Sudut lancip</span>, yaitu sudut yang besarnya antara 0 ⁰ dan 90 ⁰ atau<span style="color: #04617b;"><span style="color: black;"> 0 ⁰ < D < 90 ⁰, </span></span></span></div>
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<span style="font-family: Times, 'Times New Roman', serif; font-size: xx-small; line-height: 18.2000007629395px; text-align: start;">3. <span style="font-style: italic;">Sudut</span><span style="font-style: italic;"> </span><span style="font-style: italic;">tumpul</span>, yaitu sudut yang besarnya di antara 90 ⁰ dan 180 ⁰ atau 90 ⁰ < D < 180 ⁰.<br />4. <span style="font-style: italic;">Sudut</span><span style="font-style: italic;"> </span><span style="font-style: italic;">lurus</span>, yaitu sudut yang besarnya 180 ⁰.<br /><span style="font-style: italic;">5. </span><span style="font-style: italic;">Sudut</span><span style="font-style: italic;"> </span><span style="font-style: italic;">refleks</span><span style="font-style: italic;">, </span><span style="font-style: italic;">yaitu</span><span style="font-style: italic;"> </span><span style="font-style: italic;">s</span>udut yang besarnya antara 180 ⁰ dan 360 ⁰, atau 180 ⁰ < D < 360 ⁰. </span></div>
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<span style="font-family: Times, 'Times New Roman', serif; font-size: xx-small; line-height: 18.2000007629395px; text-align: start;"><span style="background-color: white; font-family: Times, 'Times New Roman', serif; line-height: 18.2000007629395px; text-align: start;"><br /></span></span></div>
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<span style="font-family: Times, 'Times New Roman', serif; font-size: xx-small; line-height: 18.2000007629395px; text-align: start;"><span style="background-color: white; font-family: Times, 'Times New Roman', serif; line-height: 18.2000007629395px; text-align: start;"><b>Hubungan antar sudut</b></span></span></div>
<span style="font-family: Times, 'Times New Roman', serif; font-size: xx-small; line-height: 18.2000007629395px; text-align: start;"><span style="font-family: Times, Times New Roman, serif;"><br style="background-color: white; line-height: 18.2000007629395px; text-align: start;" /></span><span style="background-color: white; font-family: Arial, Tahoma, Helvetica, FreeSans, sans-serif; line-height: 18.2000007629395px; text-align: start;">1. Sudut yang saling berpenyiku, dua sudut yang jumlah ukurannya 90 : ∠ ABD + ∠ DBC = 90</span></span><br />
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<span style="font-family: Arial, Helvetica, sans-serif;"><span style="color: #0d0d0d;">Jika</span><span style="color: #0d0d0d;"> </span><span style="color: #0d0d0d;">dua</span><span style="color: #0d0d0d;"> </span><span style="color: #0d0d0d;">buah</span><span style="color: #0d0d0d;"> </span><span style="color: #0d0d0d;">sudut</span><span style="color: #0d0d0d;"> </span><span style="color: #0d0d0d;">membentuk</span><span style="color: #0d0d0d;"> </span><span style="color: #0d0d0d;">sudut</span><span style="color: #0d0d0d;"> </span><span style="color: #0d0d0d;">siku-siku</span><span style="color: #0d0d0d;"> (90</span> ⁰<span style="color: #0d0d0d;">), </span><span style="color: #0d0d0d;">maka</span><span style="color: #0d0d0d;"> </span><span style="color: #0d0d0d;">sudut</span><span style="color: #0d0d0d;"> yang </span><span style="color: #0d0d0d;">satu</span><span style="color: #0d0d0d;"> </span><span style="color: #0d0d0d;">merupakan</span><span style="color: #0d0d0d;"> </span><span style="color: #0d0d0d;">penyiku</span><span style="color: #0d0d0d;"> </span><span style="color: #0d0d0d;">sudut</span><span style="color: #0d0d0d;"> yang lain </span><span style="color: #0d0d0d;">dan</span><span style="color: #0d0d0d;"> </span><span style="color: #0d0d0d;">kedua</span><span style="color: #0d0d0d;"></span><span style="color: #0d0d0d;">sudut</span><span style="color: #0d0d0d;"> </span><span style="color: #0d0d0d;">itu</span><span style="color: #0d0d0d;"> </span><span style="color: #0d0d0d;">dikatakan</span><span style="color: #0d0d0d;"> </span><span style="color: #0d0d0d;">saling</span><span style="color: #0d0d0d;"> </span><span style="color: #0d0d0d;">berpenyiku</span><span style="color: #0d0d0d;">.(</span><span style="color: #0d0d0d;">berkomplemen</span><span style="color: #0d0d0d;">)</span></span></div>
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<img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgVc_MUx34TKWDVfmcnYVhDKhqNJANCwbI3RJ-9xdIHmnZ41xlABgnyVtDyYq-O1sV62HmLZjRa46uyetqQTIvusKh7-qXD_HajOI-BvzEOkH9uTgWAo04wV-BdAgF6IaEmjNpWzG4xp5mJ/s1600/berpenyiku.jpg" style="-webkit-box-shadow: rgba(0, 0, 0, 0.2) 0px 0px 0px; background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border-radius: 0px; border: 1px solid rgb(200, 200, 200); box-shadow: rgba(0, 0, 0, 0.2) 0px 0px 0px; padding: 8px; position: relative;" /></div>
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<span style="font-family: Times, 'Times New Roman', serif; font-size: xx-small; line-height: 18.2000007629395px; text-align: start;"><br style="background-color: white; font-family: Arial, Tahoma, Helvetica, FreeSans, sans-serif; font-size: 13px; line-height: 18.2000007629395px; text-align: start;" /><span style="background-color: white; font-family: Arial, Tahoma, Helvetica, FreeSans, sans-serif; font-size: 13px; line-height: 18.2000007629395px; text-align: start;">2. Sudut yang saling berpelurus, dua sudut yang jumlah ukurannya 180 : ∠ PQS + ∠ SQT + ∠ TQR = 180</span></span></div>
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<span style="font-size: xx-small;"><span style="color: #0d0d0d; font-family: 'Comic Sans MS';">Jika</span><span style="color: #0d0d0d; font-family: 'Comic Sans MS';"> </span><span style="color: #0d0d0d; font-family: 'Comic Sans MS';">dua</span><span style="color: #0d0d0d; font-family: 'Comic Sans MS';"> </span><span style="color: #0d0d0d; font-family: 'Comic Sans MS';">buah</span><span style="color: #0d0d0d; font-family: 'Comic Sans MS';"> </span><span style="color: #0d0d0d; font-family: 'Comic Sans MS';">sudut</span><span style="color: #0d0d0d; font-family: 'Comic Sans MS';"> </span><span style="color: #0d0d0d; font-family: 'Comic Sans MS';">membentuk</span><span style="color: #0d0d0d; font-family: 'Comic Sans MS';"> </span><span style="color: #0d0d0d; font-family: 'Comic Sans MS';">sudut</span><span style="color: #0d0d0d; font-family: 'Comic Sans MS';"> </span><span style="color: #0d0d0d; font-family: 'Comic Sans MS';">lurus</span><span style="color: #0d0d0d; font-family: 'Comic Sans MS';">, </span><span style="color: #0d0d0d; font-family: 'Comic Sans MS';">maka</span><span style="color: #0d0d0d; font-family: 'Comic Sans MS';"> </span><span style="color: #0d0d0d; font-family: 'Comic Sans MS';">sudut</span><span style="color: #0d0d0d; font-family: 'Comic Sans MS';"> yang </span><span style="color: #0d0d0d; font-family: 'Comic Sans MS';">satu</span><span style="color: #0d0d0d; font-family: 'Comic Sans MS';"> </span><span style="color: #0d0d0d; font-family: 'Comic Sans MS';">merupakan</span><span style="color: #0d0d0d; font-family: 'Comic Sans MS';"> </span><span style="color: #0d0d0d; font-family: 'Comic Sans MS';">pelurus</span><span style="color: #0d0d0d; font-family: 'Comic Sans MS';"> </span><span style="color: #0d0d0d; font-family: 'Comic Sans MS';">sudut</span><span style="color: #0d0d0d; font-family: 'Comic Sans MS';"> yang lain </span><span style="color: #0d0d0d; font-family: 'Comic Sans MS';">dan</span><span style="color: #0d0d0d; font-family: 'Comic Sans MS';"> </span><span style="color: #0d0d0d; font-family: 'Comic Sans MS';">kedua</span><span style="color: #0d0d0d; font-family: 'Comic Sans MS';"> </span><span style="color: #0d0d0d; font-family: 'Comic Sans MS';">sudut</span><span style="color: #0d0d0d; font-family: 'Comic Sans MS';"> </span><span style="color: #0d0d0d; font-family: 'Comic Sans MS';">itu</span><span style="color: #0d0d0d; font-family: 'Comic Sans MS';"></span><span style="color: #0d0d0d; font-family: 'Comic Sans MS';">dikatakan</span><span style="color: #0d0d0d; font-family: 'Comic Sans MS';"> </span><span style="color: #0d0d0d; font-family: 'Comic Sans MS';">saling</span><span style="color: #0d0d0d; font-family: 'Comic Sans MS';"> </span><span style="color: #0d0d0d; font-family: 'Comic Sans MS';">berpelurus</span><span style="color: #0d0d0d; font-family: 'Comic Sans MS';"> (</span><span style="color: #0d0d0d; font-family: 'Comic Sans MS';">bersuplemen</span><span style="color: #0d0d0d; font-family: 'Comic Sans MS';">).</span></span><span style="color: #0d0d0d; font-family: 'Comic Sans MS'; font-weight: bold;"></span></div>
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<span style="font-size: x-small;"><span style="font-family: Arial;">HUBUNGAN ANTAR SUDUT JIKA DUA GARIS SEJAJAR DIPOTONG OLEH GARIS LAIN</span></span></div>
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<span style="font-family: Arial, Helvetica, sans-serif;">1. Sudut sehadap, besarnya sama. Yakni ∠1 = ∠5, ∠2 = ∠6, ∠4 = ∠8, ∠3 = ∠7.</span></div>
<span style="font-family: Times, 'Times New Roman', serif; font-size: xx-small; line-height: 18.2000007629395px; text-align: start;"><span style="font-family: Arial, Helvetica, sans-serif;"><span style="background-color: white; line-height: 18.2000007629395px; text-align: start;">2. Sudut dalam berseberangan, besarnya sama. Yakni ∠3 = ∠5, ∠4 = ∠6</span><br style="background-color: white; line-height: 18.2000007629395px; text-align: start;" /><span style="background-color: white; line-height: 18.2000007629395px; text-align: start;">3. Sudut luar berseberangan, besarnya sama. Yakni ∠1 = ∠7, ∠2 = ∠8</span><br style="background-color: white; line-height: 18.2000007629395px; text-align: start;" /><span style="background-color: white; line-height: 18.2000007629395px; text-align: start;">4. Sudut dalam sepihak, jumlah keduanya adalah 180o. Yakni ∠4 + ∠5 = 180, ∠3 + ∠6 = 180.</span><br style="background-color: white; line-height: 18.2000007629395px; text-align: start;" /><span style="background-color: white; line-height: 18.2000007629395px; text-align: start;">5. Sudut luar sepihak, jumlah keduanya adalah 180o. Yakni ∠2 + ∠7 = 180, ∠1 + ∠8 = 180.</span><br style="background-color: white; line-height: 18.2000007629395px; text-align: start;" /><span style="background-color: white; line-height: 18.2000007629395px; text-align: start;">6. Sudut bertolak belakang, besarnya sama. Yakni ∠1 = ∠3, ∠2 = ∠4, ∠5 = ∠7, ∠6 = ∠8.</span></span><br style="background-color: white; font-family: Arial, Tahoma, Helvetica, FreeSans, sans-serif; font-size: 13px; line-height: 18.2000007629395px; text-align: start;" /><span style="background-color: white; font-family: Arial, Tahoma, Helvetica, FreeSans, sans-serif; line-height: 18.2000007629395px; text-align: start;"><span style="font-family: Calibri; font-weight: bold;">MENGENAL SATUAN SUDUT</span></span><span style="background-color: white; font-family: Arial, Tahoma, Helvetica, FreeSans, sans-serif; line-height: 18.2000007629395px; text-align: start;"> </span></span><br />
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<span style="font-size: x-small;"><span style="font-family: Arial, Helvetica, sans-serif;">Ukuran sudut dalam derajat</span></span></div>
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<span style="font-size: x-small;"><span style="font-family: Arial, Helvetica, sans-serif;">1 derajat adalah besar sudut yang diputar oleh jari-jari lingkaran sejauh 1/360 putaran atau 1° = 1/360putaran</span></span></div>
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<span style="font-size: x-small;"><span style="font-family: Arial, Helvetica, sans-serif;">Ukuran sudut yang lebih kecil daripada derajat adalah menit (‘) dan detik (“)</span></span></div>
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<span style="font-size: x-small;"><span style="font-family: Arial, Helvetica, sans-serif;">Hubungan antara derajat, menit, dan detik dapat dinyatakan sebagai berikut :</span></span></div>
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<span style="font-size: x-small;"><span style="font-family: Arial, Helvetica, sans-serif;">1 derajat = 60 menit atau 1° = 60’</span></span></div>
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<span style="font-size: x-small;"><span style="font-family: Arial, Helvetica, sans-serif;">1 menit = 1/60 derajat atau 1’ = 1/60°</span></span></div>
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<span style="font-size: x-small;"><span style="font-family: Arial, Helvetica, sans-serif;">1 menit = 60 detik atau 1’ = 60”</span></span></div>
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<span style="font-size: x-small;"><span style="font-family: Arial, Helvetica, sans-serif;">1 detik = 1/60 menit atau 1” = 1/60’</span></span></div>
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<span style="font-size: x-small;"><span style="font-family: Arial, Helvetica, sans-serif;">Ukuran sudut dalam radian</span></span></div>
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<span style="font-size: x-small;"><span style="font-family: Arial, Helvetica, sans-serif;">1 radian sama dengan besar sudut pusat lingkaran yang dibatasi oleh busur lingkaran yang panjangnya samadengan jari-jari</span></span></div>
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<span style="font-size: x-small;"><span style="font-family: Arial, Helvetica, sans-serif;">1° = p/180 radian atau 1 radian = 180°/p</span></span></div>
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<span style="font-size: x-small;"><span style="font-family: Arial, Helvetica, sans-serif;">Jika nilai p = 3,14159 maka hubungannya dapat juga dinyatakan :</span></span></div>
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<span style="font-size: x-small;"><span style="font-family: Arial, Helvetica, sans-serif;">1° = p/180 radian = 3,14159/180 = 0,017453 atau</span></span></div>
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<span style="font-size: x-small;"><span style="font-family: Arial, Helvetica, sans-serif;">1 radian = 180°/p = 180°/3,14159 = 57,296°</span></span></div>
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