{"id":146522,"date":"2017-10-22T15:07:27","date_gmt":"2017-10-22T08:07:27","guid":{"rendered":"https:\/\/video.quipper.com\/id\/blog\/?p=146522"},"modified":"2019-08-02T16:53:48","modified_gmt":"2019-08-02T09:53:48","slug":"belajar-matematika-peminatan-materi-koridor-dan-benda-panjang-dan-perbandingan-dua-segitiga","status":"publish","type":"post","link":"https:\/\/quipperhome.wpcomstaging.com\/mapel\/matematika\/belajar-matematika-peminatan-materi-koridor-dan-benda-panjang-dan-perbandingan-dua-segitiga\/","title":{"rendered":"Belajar Matematika Peminatan Materi Koridor dan Benda Panjang dan Perbandingan Dua Segitiga"},"content":{"rendered":"<p><a href=\"http:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2017\/10\/22ca0-belajar-matematika-peminatan-materi-koridor-dan-benda-panjang-dan-perbandingan-dua-segitiga.jpg\" data-rel=\"penci-gallery-image-content\" ><img fetchpriority=\"high\" decoding=\"async\" class=\"alignnone size-full wp-image-146582\" src=\"http:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2017\/10\/22ca0-belajar-matematika-peminatan-materi-koridor-dan-benda-panjang-dan-perbandingan-dua-segitiga.jpg\" alt=\"Belajar Matematika Peminatan Materi Koridor dan Benda Panjang dan Perbandingan Dua Segitiga\" width=\"800\" height=\"533\" srcset=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2017\/10\/22ca0-belajar-matematika-peminatan-materi-koridor-dan-benda-panjang-dan-perbandingan-dua-segitiga.jpg 800w, https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2017\/10\/22ca0-belajar-matematika-peminatan-materi-koridor-dan-benda-panjang-dan-perbandingan-dua-segitiga-768x512.jpg 768w, https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2017\/10\/22ca0-belajar-matematika-peminatan-materi-koridor-dan-benda-panjang-dan-perbandingan-dua-segitiga-585x390.jpg?crop=1 585w, https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2017\/10\/22ca0-belajar-matematika-peminatan-materi-koridor-dan-benda-panjang-dan-perbandingan-dua-segitiga-263x175.jpg?crop=1 263w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><\/a><\/p>\n<p><span style=\"font-weight:400;\">Quipperian! Belajar Matematika Peminatan yuk agar persiapan ujian nanti makin mudah. Matematika Peminatan itu sebanding lho dengan soal-soal Matematika Dasar. Makanya, kalian rasanya perlu mendapat materi-materi mendasar tentang Matematika Peminatan ini.<\/span><span style=\"font-weight:400;\"><br \/>\n<\/span><span style=\"font-weight:400;\"><br \/>\n<\/span><span style=\"font-weight:400;\">Yuk kita mulai belajar!<\/span><\/p>\n<h2><b>Koridor dan Benda Panjang<\/b><\/h2>\n<p><a href=\"http:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2017\/10\/03637-belajar-matematika-peminatan-materi-koridor-dan-benda-panjang-dan-perbandingan-dua-segitiga-1.png\" data-rel=\"penci-gallery-image-content\" ><img decoding=\"async\" class=\"alignnone  wp-image-146532\" src=\"http:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2017\/10\/03637-belajar-matematika-peminatan-materi-koridor-dan-benda-panjang-dan-perbandingan-dua-segitiga-1.png\" alt=\"Belajar Matematika Peminatan Materi Koridor dan Benda Panjang dan Perbandingan dua Segitiga 1\" width=\"734\" height=\"458\" \/><\/a><\/p>\n<p><span style=\"font-weight:400;\">Dua buah koridor bertemu di pojok siku-siku dengan lebar koridor masing-masing 2 meter dan 3 meter. Sudut \u00a0adalah sudut seperti ditandai pada gambar yang diberikan. Sebuah pipa logam dikehendaki tetap lurus dipindahkan melalui dua lorong (koridor) tersebut tanpa harus melengkungkan pipa logam itu (lihat gambar). <\/span><\/p>\n<h3 class=\"entry-title\"><a href=\"https:\/\/video.quipper.com\/id\/blog\/mapel\/matematika\/soal-penting-matematika-dasar-yang-sering-keluar-tiap-tahun\/\">Soal Penting Matematika Dasar yang Sering Keluar Tiap Tahun!<\/a><\/h3>\n<ul>\n<li style=\"font-weight:400;\"><span style=\"font-weight:400;\">Perhatikan bahwa panjang AB adalah L = (3\/cos) + (2\/sin) <\/span><\/li>\n<li style=\"font-weight:400;\"><span style=\"font-weight:400;\">Perhatikan pula bahwa apabila dL\/d = 0 maka \u00a0= tan-1( (2\/3)3) = 41,14o <\/span><\/li>\n<li style=\"font-weight:400;\"><span style=\"font-weight:400;\">Tentukanlah panjang L jika \u00a0= tan-1((2\/3)3), dan berikan komentar terhadap kebermaknaan dari nilai tersebut. Untuk menentukan panjang L, kalian diminta mendesain panjang L menjadi model berbentuk L = (3\/cos) + (2\/sin). <\/span><\/li>\n<\/ul>\n<p><span style=\"font-weight:400;\">Petunjuk:<\/span><\/p>\n<p><a href=\"http:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2017\/10\/c6fd4-belajar-matematika-peminatan-materi-koridor-dan-benda-panjang-dan-perbandingan-dua-segitiga-2.png\" data-rel=\"penci-gallery-image-content\" ><img decoding=\"async\" class=\"alignnone size-full wp-image-146542\" src=\"http:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2017\/10\/c6fd4-belajar-matematika-peminatan-materi-koridor-dan-benda-panjang-dan-perbandingan-dua-segitiga-2.png\" alt=\"Belajar Matematika Peminatan Materi Koridor dan Benda Panjang dan Perbandingan dua Segitiga\" width=\"712\" height=\"466\" \/><\/a><\/p>\n<ol>\n<li style=\"font-weight:400;\"><span style=\"font-weight:400;\">Dengan memperhatikan segitiga BCD yang siku-siku di C, kalian dapat mengaitkan unsur-unsur BD, unsur BC dan unsur <\/span><\/li>\n<li style=\"font-weight:400;\"><span style=\"font-weight:400;\">Dengan cara serupa kalian mengkaitkan unsur AE, unsur AD, dan unsur<\/span><\/li>\n<li style=\"font-weight:400;\"><span style=\"font-weight:400;\">Selanjutnya kalian dituntut untuk dapat menentukan turunan dari L atau dL\/d dan menentukan nilai \u00a0sedemikian sehingga dL\/d = 0 d. Apa makna dari nilai \u00a0yang diperoleh dikaitkan dengan nilai L.<\/span><\/li>\n<\/ol>\n<p><span style=\"font-weight:400;\">Contoh Pembuktian dan Penalaran:<\/span><span style=\"font-weight:400;\"><br \/>\n<\/span><\/p>\n<p><a href=\"http:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2017\/10\/8aa6a-belajar-matematika-peminatan-materi-koridor-dan-benda-panjang-dan-perbandingan-dua-segitiga-3.png\" data-rel=\"penci-gallery-image-content\" ><img loading=\"lazy\" decoding=\"async\" class=\"alignnone  wp-image-146552\" src=\"http:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2017\/10\/8aa6a-belajar-matematika-peminatan-materi-koridor-dan-benda-panjang-dan-perbandingan-dua-segitiga-3.png\" alt=\"Dengan memperhatikan segitiga BCD yang siku-siku di C, kalian dapat mengaitkan unsur-unsur BD, unsur BC dan unsur  Dengan cara serupa kalian mengkaitkan unsur AE, unsur AD, dan unsur Selanjutnya kalian dituntut untuk dapat menentukan turunan dari L atau dL\/d dan menentukan nilai  sedemikian sehingga dL\/d = 0 d. Apa makna dari nilai  yang diperoleh dikaitkan dengan nilai L.  Contoh Pembuktian dan Penalaran:\" width=\"751\" height=\"299\" \/><\/a><\/p>\n<p>&nbsp;<\/p>\n<p><span style=\"font-weight:400;\">Perlihatkan bahwa segmen AP dan segmen AQ membagi diagonal BD menjadi tiga bagian sama panjang. Bukti: Salah satu pembuktian yang dapat dibuat adalah membuktikan secara vektor, ataupun secara analitik. <\/span><\/p>\n<h2><b>Perbandingan Dua Sepeda<\/b><\/h2>\n<p><span style=\"font-weight:400;\">Diketahui segitiga-segitiga pada bangun seperti gambar di bawah ini. Bagaimanakan kalian mengetahui keliling dan luas bangun tersebut berikan argumantasi yang logis dan bagaimana menentukan keliling dan luasnya? Jelaskan!<\/span><span style=\"font-weight:400;\"><br \/>\n<\/span><\/p>\n<p><a href=\"http:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2017\/10\/c7513-belajar-matematika-peminatan-materi-koridor-dan-benda-panjang-dan-perbandingan-dua-segitiga-4.png\" data-rel=\"penci-gallery-image-content\" ><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-146562\" src=\"http:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2017\/10\/c7513-belajar-matematika-peminatan-materi-koridor-dan-benda-panjang-dan-perbandingan-dua-segitiga-4.png\" alt=\"\" width=\"624\" height=\"370\" \/><\/a><\/p>\n<p><span style=\"font-weight:400;\">Pemecahan masalah: Jika sebuah persegi juga dinamai sebagai persegi panjang, berapakah banyaknya persegi panjang pada sebuah \u201cpapan catur\u201d berdimensi 6 x 6. Berikan penjelasan mengapa? Bagaimana kalian merumuskan aturan itu?<\/span><\/p>\n<p>&nbsp;<\/p>\n<h2><b>Pemecahan Masalah: <\/b><\/h2>\n<p><span style=\"font-weight:400;\">Penyelesaian masalah dalam matematika merupakan penyelesaian tugas-tugas matematika yang strateginya belum diketahui kalian terlebih dahulu. Untuk dapat menyelesaikan persoalan tersebut kalian harus \u201cmemanggil\u201d kembali pengetahuan yang mdimiliki dan melalui proses seperti ini kalian akan mengembangkan pemahaman-pemahaman baru dalam matematika. Sebagai contoh akan disajikan persoalan dengan mempertanyakan berapa banyak segmen garis berbeda panjang yang dapat dibuat dari titik-titik (papan berpaku) sebuah persegi berukuran 5&#215;5.<\/span><\/p>\n<p><a href=\"http:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2017\/10\/69892-belajar-matematika-peminatan-materi-koridor-dan-benda-panjang-dan-perbandingan-dua-segitiga-5.png\" data-rel=\"penci-gallery-image-content\" ><img loading=\"lazy\" decoding=\"async\" class=\"alignnone  wp-image-146572\" src=\"http:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2017\/10\/69892-belajar-matematika-peminatan-materi-koridor-dan-benda-panjang-dan-perbandingan-dua-segitiga-5.png\" alt=\"\" width=\"402\" height=\"302\" \/><\/a><\/p>\n<p><span style=\"font-weight:400;\">Setelah beberapa saat kalian tidak kunjung menyelesaikan soal yang dimaksudkan, berikan pada mereka petunjuk penyelesaian sebagai berikut:<\/span><\/p>\n<h3 class=\"entry-title\"><a href=\"https:\/\/video.quipper.com\/id\/blog\/mapel\/matematika\/belajar-persamaan-kuadrat-untuk-menguasi-materi-matematika-dasar\/\">Belajar Persamaan Kuadrat untuk Menguasi Materi Matematika Dasar!<\/a><\/h3>\n<ol>\n<li style=\"font-weight:400;\"><span style=\"font-weight:400;\">Katakan kepada kalian bahwa kalau panjang sisinya 1 atau persegi ukuran 1 x 1, maka banyak segmen berbeda panjang yang dapat dibuat adalah 2. Segmen berbeda panjang tersebut berturut-turut adalan 1 satuan dan 2 satuan.<\/span><\/li>\n<li style=\"font-weight:400;\"><span style=\"font-weight:400;\">Mintalah kalian untuk mengamati bahwa apabila panjang sisinya 2 x 2, maka banyak segmen berbeda panjang adalah 2+3 atau 5.<\/span><\/li>\n<li style=\"font-weight:400;\"><span style=\"font-weight:400;\">Mintalah kalian untuk meneruskannya dan mengamatinya sampai panjang sisi 5 atau susunan noktah berbentuk persegi dengan ukuran 5 x 5. <\/span><\/li>\n<li style=\"font-weight:400;\"><span style=\"font-weight:400;\">Mintalah kalian untuk mengkomunikasikan hasil pemikirannya kepada kelas melalui presentasi yang mereka buat. <\/span><\/li>\n<li style=\"font-weight:400;\"><span style=\"font-weight:400;\">Mungkin kalianF akan mendapatkan jawab melalui pola yang mereka dapatkan dan secara normal mereka mendapatkan polanya untuk noktah yang disusun dalam bentuk persegi berukurang panjang 5 x 5 <\/span><\/li>\n<\/ol>\n<p>&nbsp;<\/p>\n<p><span style=\"font-weight:400;\">Sumber: <\/span><span style=\"font-weight:400;\"><br \/>\n<\/span><span style=\"font-weight:400;\"><br \/>\n<\/span><span style=\"font-weight:400;\">&#8211; <\/span><a href=\"http:\/\/pbm.sma5balikpapan.sch.id\/login.htm\"><span style=\"font-weight:400;\">http:\/\/pbm.sma5balikpapan.sch.id\/login.htm<\/span><\/a><\/p>\n<p><span style=\"font-weight:400;\">&#8211; <\/span><a href=\"http:\/\/pbm.sma5balikpapan.sch.id\/web\/userfiles\/10a.%20PMP%20MTK-minat%20SMA.pdf\"><span style=\"font-weight:400;\">http:\/\/pbm.sma5balikpapan.sch.id\/web\/userfiles\/10a.%20PMP%20MTK-minat%20SMA.pdf<\/span><span style=\"font-weight:400;\"><br \/>\n<\/span><span style=\"font-weight:400;\"><br \/>\n<\/span><\/a><b>Penulis: Sritopia<\/b><span style=\"font-weight:400;\"><br \/>\n<\/span><\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Quipperian! Belajar Matematika Peminatan yuk agar persiapan ujian nanti makin mudah. Matematika Peminatan itu sebanding lho dengan soal-soal Matematika Dasar. Makanya, kalian rasanya perlu&hellip;<\/p>\n","protected":false},"author":156446345,"featured_media":146582,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"_crdt_document":"","_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[679384888,679384865],"tags":[],"ppma_author":[679386822],"class_list":["post-146522","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-mapel","category-matematika"],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.5 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Belajar Matematika Peminatan Materi Koridor dan Benda Panjang dan Perbandingan Dua Segitiga<\/title>\n<meta name=\"description\" content=\"Selain hitung-hitungan, matematika peminatan juga banyak teori yang harus dipahami loh Quipperian. 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