{"id":1026,"date":"2025-08-30T05:00:34","date_gmt":"2025-08-29T22:00:34","guid":{"rendered":"https:\/\/people.usd.ac.id\/~ydkristanto\/?page_id=1026"},"modified":"2025-09-09T13:54:50","modified_gmt":"2025-09-09T06:54:50","slug":"pemecahan-masalah-spldv","status":"publish","type":"page","link":"https:\/\/people.usd.ac.id\/~ydkristanto\/index.php\/media-pengajaran\/pemecahan-masalah-spldv\/","title":{"rendered":"Pemecahan Masalah: Kapan dan Di Mana Mereka Berjumpa?"},"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\/problem-solving-system-of-linear-equations\/\">EN<\/a><\/div>\n<\/div>\n\n\n\n<p class=\"has-drop-cap\">Ayo memecahkan sebuah masalah! Media interaktif di bawah ini mengilustrasikan Putri dan Akbar yang mengendarai mobil. Awalnya Putri berkendara terlebih dahulu, baru Akbar menyusul kemudian. Informasi detailnya dapat dicermati pada media tersebut.<\/p>\n\n\n\n<div class=\"wp-block-group alignfull has-dark-gray-background-color has-background\"><div class=\"wp-block-group__inner-container\">\n<div class=\"wp-block-columns alignwide\">\n<div class=\"wp-block-column\">\n<div id=\"calculator1\" class=\"aligncenter size-full\" style=\"width: 400px; height: 400px;\"><\/div>\n<\/div>\n\n\n\n<div class=\"wp-block-column\">\n<div id=\"calculator2\" class=\"aligncenter size-full\" style=\"width: 400px; height: 400px;\"><\/div>\n\n<script>\n  var calculator1 = Desmos.GraphingCalculator(document.getElementById('calculator1'), {\n    expressions: false,\n    settingsMenu: false,\n    trace: 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\": \"74d4720cf80367b5b14d9deee5d0f573\",\n    \"graph\": {\n   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     },\n            {\n                \"type\": \"expression\",\n                \"id\": \"119\",\n                \"folderId\": \"105\",\n                \"color\": \"#000000\",\n                \"latex\": \"\\\\operatorname{polygon}\\\\left(\\\\left(5.5,8.5\\\\right),\\\\left(2,8.5\\\\right),\\\\left(2,7\\\\right),\\\\left(5.5,7\\\\right)\\\\right)\",\n                \"fillOpacity\": \"0\",\n                \"lineWidth\": \"1.5\",\n                \"clickableInfo\": {\n                    \"enabled\": true,\n                    \"latex\": \"u_{lang}\"\n                }\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"120\",\n                \"folderId\": \"105\",\n                \"color\": \"#000000\",\n                \"latex\": \"\\\\left(\\\\frac{5.5+2}{2},\\\\frac{8.5+7}{2}\\\\right)\",\n                \"showLabel\": true,\n                \"label\": \"Ulang\",\n                \"hidden\": true,\n                \"labelSize\": \".9\",\n                \"pointOpacity\": \".8\"\n            },\n            {\n                \"type\": \"folder\",\n                \"id\": \"5\",\n                \"title\": \"Palet warna\",\n                \"collapsed\": true,\n                \"secret\": true\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"6\",\n                \"folderId\": \"5\",\n                \"color\": \"#6042a6\",\n                \"latex\": \"A_{spal}=\\\\operatorname{rgb}\\\\left(67,82,102\\\\right)\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"8\",\n                \"folderId\": \"5\",\n                \"color\": \"#2d70b3\",\n                \"latex\": \"M_{arka}=\\\\operatorname{rgb}\\\\left(251,251,251\\\\right)\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"10\",\n                \"folderId\": \"5\",\n                \"color\": \"#2d70b3\",\n                \"latex\": \"H_{ijau}=\\\\operatorname{rgb}\\\\left(115,184,46\\\\right)\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"83\",\n                \"folderId\": \"5\",\n                \"color\": \"#c74440\",\n                \"latex\": \"R_{umput}=\\\\operatorname{rgb}\\\\left(169,190,6\\\\right)\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"131\",\n                \"color\": \"#c74440\"\n            }\n        ],\n        \"ticker\": {\n            \"handlerLatex\": \"\\\\left\\\\{P=1:j_{alan}\\\\left(\\\\operatorname{dt}\\\\right),j_{alan}\\\\left(0\\\\right)\\\\right\\\\}\",\n            \"playing\": true,\n            \"open\": true\n        }\n    },\n    \"includeFunctionParametersInRandomSeed\": true,\n    \"doNotMigrateMovablePointStyle\": true\n};\n\n  var state2 = {\n    \"version\": 11,\n    \"randomSeed\": \"933eb71c9be7dc6c38f12cc69f2c4cfe\",\n    \"graph\": {\n        \"viewport\": {\n            \"xmin\": -0.25,\n            \"ymin\": -8,\n            \"xmax\": 1.5,\n            \"ymax\": 72\n        },\n        \"xAxisArrowMode\": \"POSITIVE\",\n        \"yAxisArrowMode\": \"POSITIVE\",\n        \"xAxisLabel\": \"Waktu (jam)\",\n        \"yAxisLabel\": \"Jarak tempuh (km)\",\n        \"userLockedViewport\": true,\n        \"squareAxes\": false,\n        \"__v12ViewportLatexStash\": {\n            \"xmin\": \"-0.25\",\n            \"xmax\": \"1.5\",\n            \"ymin\": \"-8\",\n            \"ymax\": \"72\"\n        }\n    },\n    \"expressions\": {\n        \"list\": [\n            {\n                \"type\": \"folder\",\n                \"id\": \"2\",\n                \"title\": \"Model\",\n                \"collapsed\": true,\n                \"secret\": true\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"3\",\n                \"folderId\": \"2\",\n                \"color\": \"#c74440\",\n                \"latex\": \"t_{0}=0\",\n                \"slider\": {\n                    \"hardMin\": true,\n                    \"hardMax\": true,\n                    \"playDirection\": -1,\n                    \"min\": \"0\",\n                    \"max\": \"18000\"\n                }\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"9\",\n                \"folderId\": \"2\",\n                \"color\": \"#c74440\",\n                \"latex\": \"t_{1}=\\\\frac{1}{12000}t_{0}\"\n            },\n            {\n                \"type\": \"text\",\n                \"id\": \"20\",\n                \"folderId\": \"2\",\n                \"text\": \"Bantuan koordinat\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"30\",\n                \"folderId\": \"2\",\n                \"color\": \"#000000\",\n                \"latex\": \"x=t_{1}\\\\left\\\\{0\\\\le y\\\\le\\\\max\\\\left(f\\\\left(t_{1}\\\\right),g\\\\left(t_{1}\\\\right)\\\\right)\\\\right\\\\}\",\n                \"lineStyle\": \"DASHED\",\n                \"lineOpacity\": \".6\",\n                \"lineWidth\": \"1\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"31\",\n                \"folderId\": \"2\",\n                \"color\": \"#000000\",\n                \"latex\": \"y=f\\\\left(t_{1}\\\\right)\\\\left\\\\{0\\\\le x\\\\le t_{1}\\\\right\\\\}\",\n                \"lineStyle\": \"DASHED\",\n                \"lineOpacity\": \".6\",\n                \"lineWidth\": \"1\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"32\",\n                \"folderId\": \"2\",\n                \"color\": \"#000000\",\n                \"latex\": \"y=g\\\\left(t_{1}\\\\right)\\\\left\\\\{0\\\\le x\\\\le t_{1}\\\\right\\\\}\",\n                \"lineStyle\": \"DASHED\",\n                \"lineOpacity\": \".6\",\n                \"lineWidth\": \"1\"\n            },\n            {\n                \"type\": \"text\",\n                \"id\": \"22\",\n                \"folderId\": \"2\",\n                \"text\": \"-- Waktu\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"23\",\n                \"folderId\": \"2\",\n                \"color\": \"#000000\",\n                \"latex\": \"y=0\\\\left\\\\{0\\\\le x\\\\le t_{1}\\\\right\\\\}\",\n                \"lineOpacity\": \".5\",\n                \"lineWidth\": \"5\"\n            },\n            {\n                \"type\": \"text\",\n                \"id\": \"25\",\n                \"folderId\": \"2\",\n                \"text\": \"-- Jarak tempuh Putri\"\n            },\n            {\n                \"type\": \"text\",\n                \"id\": \"28\",\n                \"folderId\": \"2\",\n                \"text\": \"-- Jarak tempuh Akbar\"\n            },\n            {\n                \"type\": \"text\",\n                \"id\": \"12\",\n                \"folderId\": \"2\",\n                \"text\": \"Putri\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"13\",\n                \"folderId\": \"2\",\n                \"color\": \"#c74440\",\n                \"latex\": \"f\\\\left(x\\\\right)=60x\\\\left\\\\{0\\\\le x\\\\le t_{1}\\\\right\\\\}\",\n                \"lineWidth\": \"5\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"17\",\n                \"folderId\": \"2\",\n                \"color\": \"#c74440\",\n                \"latex\": \"\\\\left(t_{1},f\\\\left(t_{1}\\\\right)\\\\right)\",\n                \"pointSize\": \"10\",\n                \"movablePointSize\": \"10\"\n            },\n            {\n                \"type\": \"text\",\n                \"id\": \"15\",\n                \"folderId\": \"2\",\n                \"text\": \"Akbar\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"16\",\n                \"folderId\": \"2\",\n                \"color\": \"#2d70b3\",\n                \"latex\": \"g\\\\left(x\\\\right)=80x-40\\\\left\\\\{\\\\frac{1}{2}\\\\le x\\\\le t_{1}\\\\right\\\\}\",\n                \"lineWidth\": \"5\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"18\",\n                \"folderId\": \"2\",\n                \"color\": \"#2d70b3\",\n                \"latex\": \"\\\\left(t_{1},g\\\\left(t_{1}\\\\right)\\\\right)\",\n                \"pointSize\": \"10\",\n                \"movablePointSize\": \"10\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"33\",\n                \"color\": \"#c74440\"\n            }\n        ]\n    },\n    \"includeFunctionParametersInRandomSeed\": true,\n    \"doNotMigrateMovablePointStyle\": true\n};\n\n  calculator1.setState(state1);\n  calculator2.setState(state2);\n\n  \/\/ Track t_{0} in calculator1\n  var t0Helper = calculator1.HelperExpression({ latex: 't_{0}' });\n\n  \/\/ Whenever t_{0} changes in calc1, update calc2\n  t0Helper.observe('numericValue', function() {\n    var value = t0Helper.numericValue;\n    if (!isNaN(value)) {\n      calculator2.setExpression({ id: '3', latex: `t_{0}=${value}` });\n    }\n  });\n\n<\/script>\n<\/div>\n<\/div>\n<\/div><\/div>\n\n\n\n<p>Klik tombol 'Mainkan!' untuk memainkan animasi dalam media tersebut. Pahami informasi dalam media tersebut, kemudian gunakan informasi tersebut untuk menjawab pertanyaan berikut.<\/p>\n\n\n\n<figure class=\"wp-block-pullquote\"><blockquote><p>Apakah Akbar akan menyusul Putri? Jika iya, kapan dan di mana? Jika tidak, jelaskan alasannya!<\/p><\/blockquote><\/figure>\n\n\n\n<p>Selamat mengerjakan!<\/p>\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=Pemecahan+Masalah\">Pemecahan Masalah<\/a><\/li>    \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=Fungsi+Linear\">Fungsi Linear<\/a><\/li>\n    <li><a href=\"https:\/\/people.usd.ac.id\/~ydkristanto\/?s=Sistem+Persamaan+Linear\">Sistem Persamaan Linear<\/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=Sumber+Belajar+Interaktif\">Sumber Belajar Interaktif<\/a><\/li>\n  <\/ul>\n<\/div>\n<\/div><\/div>\n","protected":false},"excerpt":{"rendered":"<p>Sebuah simulasi interaktif yang menggambarkan dua mobil bergerak dengan kecepatan berbeda. Sumber belajar digital ini menampilkan visualisasi gerak kedua mobil serta grafik jarak vs. waktu yang bersesuaian untuk menyelidiki kapan dan di mana kedua mobil akan bertemu.<\/p>\n","protected":false},"author":1,"featured_media":1103,"parent":882,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"advanced_seo_description":"","spay_email":""},"jetpack_shortlink":"https:\/\/wp.me\/P93lma-gy","jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/people.usd.ac.id\/~ydkristanto\/index.php\/wp-json\/wp\/v2\/pages\/1026"}],"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=1026"}],"version-history":[{"count":16,"href":"https:\/\/people.usd.ac.id\/~ydkristanto\/index.php\/wp-json\/wp\/v2\/pages\/1026\/revisions"}],"predecessor-version":[{"id":1347,"href":"https:\/\/people.usd.ac.id\/~ydkristanto\/index.php\/wp-json\/wp\/v2\/pages\/1026\/revisions\/1347"}],"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\/1103"}],"wp:attachment":[{"href":"https:\/\/people.usd.ac.id\/~ydkristanto\/index.php\/wp-json\/wp\/v2\/media?parent=1026"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}