{"id":1175,"date":"2025-09-04T18:45:27","date_gmt":"2025-09-04T11:45:27","guid":{"rendered":"https:\/\/people.usd.ac.id\/~ydkristanto\/?page_id=1175"},"modified":"2025-09-09T14:54:41","modified_gmt":"2025-09-09T07:54:41","slug":"grafik","status":"publish","type":"page","link":"https:\/\/people.usd.ac.id\/~ydkristanto\/index.php\/media-pengajaran\/grafik\/","title":{"rendered":"Grafik: Apa yang Membentuknya dan Bagaimana Pembentukannya"},"content":{"rendered":"\n<div class=\"wp-block-buttons is-content-justification-right\">\n<div class=\"wp-block-button is-style-outline\"><a class=\"wp-block-button__link\" href=\"https:\/\/people.usd.ac.id\/~ydkristanto\/index.php\/learning-resources\/graphs\/\">EN<\/a><\/div>\n<\/div>\n\n\n\n<p class=\"has-drop-cap\">Pernahkan kamu mengisi air ke dalam sebuah botol dan tak berasa airnya meluber? Kamu mungkin sedang melamun, atau botolmu itu bentuknya seperti pada media interaktif di sini. Mengapa demikian? Ayo selidiki menggunakan media interaktif &#8220;Masalah Botol&#8221; di bawah.<\/p>\n\n\n\n<hr class=\"wp-block-separator\"\/>\n\n\n\n<p>Media interaktif ini menunjukkan bagaimana sebuah grafik terbentuk dari dua kuantitas yang berubah secara bersama-sama. Jendela pertama menunjukkan bagaimana volume air mempengaruhi ketinggiannya. Jendela kedua memvisualisasikan hubungan volume dan ketinggian air tersebut, baik dengan ruas-ruas garis, titik, maupun jejak-jejak titik tersebut.<\/p>\n\n\n\n<div class=\"wp-block-group alignfull has-gray-background-color has-background\"><div class=\"wp-block-group__inner-container\">\n<h3 class=\"has-text-align-center\">Masalah Botol<\/h3>\n\n\n\n<p class=\"has-text-align-center\">Geser-geser slidernya, singkap ruas-ruas garis dan titiknya, rekam jejak-jejak titiknya, dan cermati grafiknya.<\/p>\n\n\n\n<div class=\"wp-block-columns alignwide\">\n<div class=\"wp-block-column\">\n<div id=\"calculator1\" class=\"aligncenter size-full\" style=\"width: 480px; height: 480px;\"><\/div>\n<\/div>\n\n\n\n<div class=\"wp-block-column\">\n<div id=\"calculator2\" class=\"aligncenter size-full\" style=\"width: 480px; height: 480px;\"><\/div>\n\n<script>\n  var calculator1 = Desmos.GraphingCalculator(document.getElementById('calculator1'), {\n    expressions: false,\n    settingsMenu: false,\n\ttrace: false\n  });\n  var calculator2 = Desmos.GraphingCalculator(document.getElementById('calculator2'), {\n    expressions: false,\n    settingsMenu: false,\n    trace: false\n  });\n\n  var state1 = {\n    \"version\": 11,\n    \"randomSeed\": \"7528e6b7f57cd0fb0730d506cfd69ec7\",\n    \"graph\": {\n        \"viewport\": {\n            \"xmin\": -5,\n            \"ymin\": -4.3594281745679915,\n            \"xmax\": 5,\n            \"ymax\": 10.622054437194162\n        },\n        \"showGrid\": false,\n        \"showXAxis\": false,\n        \"showYAxis\": false,\n        \"yAxisStep\": 1,\n        \"userLockedViewport\": true,\n        \"__v12ViewportLatexStash\": {\n            \"xmin\": \"-5\",\n            \"xmax\": \"5\",\n            \"ymin\": \"-4.3594281745679915\",\n            \"ymax\": \"10.622054437194162\"\n        }\n    },\n    \"expressions\": {\n        \"list\": [\n            {\n                \"type\": \"text\",\n                \"id\": \"53\",\n        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\"max\": \"1\",\n                    \"step\": \"1\"\n                }\n            },\n            {\n                \"type\": \"text\",\n                \"id\": \"38\",\n                \"folderId\": \"21\",\n                \"text\": \"Titik acuan:\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"39\",\n                \"folderId\": \"21\",\n                \"color\": \"#2d70b3\",\n                \"latex\": \"C=\\\\left(21.5,8\\\\right)\",\n                \"hidden\": true\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"40\",\n                \"folderId\": \"21\",\n                \"color\": \"#c74440\",\n                \"latex\": \"l=0.8\",\n                \"slider\": {\n                    \"hardMin\": true,\n                    \"hardMax\": true,\n                    \"min\": \"0\",\n                    \"max\": \"2\",\n                    \"step\": \"0.1\"\n            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Source\n  var V0Helper = calculator1.HelperExpression({ latex: 'V_{0}' });\n\n  \/\/ Sink\n  V0Helper.observe('numericValue', function() {\n    var value = V0Helper.numericValue;\n    if (!isNaN(value)) {\n      calculator2.setExpression({ id: '4', latex: `V_{0}=${value}` });\n    }\n  });\n\n<\/script>\n<\/div>\n<\/div>\n<\/div><\/div>\n\n\n\n<p>Gunakan pertanyaan-pertanyaan atau perintah-perintah berikut ini untuk memanfaatkan media di atas.<\/p>\n\n\n\n<ul><li>Geser slider volume ke kanan dan ke kiri. Apa yang terjadi? Apakah setiap perubahan yang konstan dari volume air menyebabkan perubahan ketinggian yang juga konstan? Kapan perubahan ketinggiannya paling cepat? Kapan paling lambat?<\/li><li>Klik &#8220;Tampilkan ruas&#8221; dan geser-geser kembali slider volumenya. Panjang ruas garis merah dan biru pada sumbu-<em>x<\/em> dan &#8211;<em>y<\/em> menunjukkan apa?<\/li><li>Klik &#8220;Tampilkan titik&#8221;, lalu geser-geser slider volumenya. Titik tersebut menunjukkan apa? Pergerakan titik tersebut dibatasi oleh apa?<\/li><li>Rekamlah jejak-jejak titik tersebut dengan mengklik &#8220;Rekam jejak&#8221;, kemudian geser-geserlah slider volume. Jejak-jejak tersebut menunjukkan apa? Apa yang diperoleh jika semua kemungkinan jejak titik tersebut terekam?<\/li><\/ul>\n\n\n\n<p>Selamat belajar!<\/p>\n\n\n\n<hr class=\"wp-block-separator\"\/>\n\n\n\n<div class=\"wp-block-group is-style-twentytwentyone-border\"><div class=\"wp-block-group__inner-container\">\n<div class=\"related-topics\">\n  <h3>Jelajahi topik-topik terkait<\/h3>\n  <p>Temukan konten-konten terkait lainnya dalam situs web ini.<\/p>\n  <ul class=\"topics-list\">\n    <li><a href=\"https:\/\/people.usd.ac.id\/~ydkristanto\/?s=Matematika\">Matematika<\/a><\/li>\n    <li><a href=\"https:\/\/people.usd.ac.id\/~ydkristanto\/?s=Aljabar\">Aljabar<\/a><\/li>\n    <li><a href=\"https:\/\/people.usd.ac.id\/~ydkristanto\/?s=Grafik\">Grafik<\/a><\/li>\n    <li><a href=\"https:\/\/people.usd.ac.id\/~ydkristanto\/?s=Kovarian\">Kovarian<\/a><\/li>\n    <li><a href=\"https:\/\/people.usd.ac.id\/~ydkristanto\/?s=Penalaran+Kovarian\">Penalaran Kovarian<\/a><\/li>\n    <li><a href=\"https:\/\/people.usd.ac.id\/~ydkristanto\/?s=Koordinat+Kartesius\">Koordinat Kartesius<\/a><\/li>\n    <li><a href=\"https:\/\/people.usd.ac.id\/~ydkristanto\/?s=Sumber+Belajar+Interaktif\">Sumber Belajar Interaktif<\/a><\/li>\n  <\/ul>\n<\/div>\n<\/div><\/div>\n","protected":false},"excerpt":{"rendered":"<p>Apa yang membentuk sebuah grafik? Bagaimana pembentukannya? Media interaktif ini menunjukkan bagaimana sebuah grafik terbentuk dari dua kuantitas yang berubah bersama-sama.<\/p>\n","protected":false},"author":1,"featured_media":1181,"parent":882,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"advanced_seo_description":"","spay_email":""},"jetpack_shortlink":"https:\/\/wp.me\/P93lma-iX","jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/people.usd.ac.id\/~ydkristanto\/index.php\/wp-json\/wp\/v2\/pages\/1175"}],"collection":[{"href":"https:\/\/people.usd.ac.id\/~ydkristanto\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/people.usd.ac.id\/~ydkristanto\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/people.usd.ac.id\/~ydkristanto\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/people.usd.ac.id\/~ydkristanto\/index.php\/wp-json\/wp\/v2\/comments?post=1175"}],"version-history":[{"count":7,"href":"https:\/\/people.usd.ac.id\/~ydkristanto\/index.php\/wp-json\/wp\/v2\/pages\/1175\/revisions"}],"predecessor-version":[{"id":1356,"href":"https:\/\/people.usd.ac.id\/~ydkristanto\/index.php\/wp-json\/wp\/v2\/pages\/1175\/revisions\/1356"}],"up":[{"embeddable":true,"href":"https:\/\/people.usd.ac.id\/~ydkristanto\/index.php\/wp-json\/wp\/v2\/pages\/882"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/people.usd.ac.id\/~ydkristanto\/index.php\/wp-json\/wp\/v2\/media\/1181"}],"wp:attachment":[{"href":"https:\/\/people.usd.ac.id\/~ydkristanto\/index.php\/wp-json\/wp\/v2\/media?parent=1175"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}