{ "version" : "https://jsonfeed.org/version/1.1", "title" : "Gunanto", "description": "Belajar dan Berkarya — Berbagi ilmu untuk kebaikan bersama. Catatan seorang guru matematika: pembelajaran, LaTeX, dan teknologi pendidikan.", "home_page_url" : "https://pakgun.gezytech.web.id/", "feed_url" : "https://pakgun.gezytech.web.id/index.feed", "icon" : "https://pakgun.gezytech.web.id/apple-touch-icon.png", "favicon" : "https://pakgun.gezytech.web.id/favicon.ico", "author" : { "name" : "Gunanto", "url": "https://github.com/pakgun10", "avatar": "https://pakgun.gezytech.web.id/images/avatar.jpg" }, "items" : [ { "title" : "Membuat Bidang Koordinat yang Presisi dengan TikZ", "date_published" : "2026-10-21T07:30:00+07:00", "date_modified" : "2026-10-21T07:30:00+07:00", "id" : "https://pakgun.gezytech.web.id/menggambar-bidang-koordinat-dengan-tikz/", "url" : "https://pakgun.gezytech.web.id/menggambar-bidang-koordinat-dengan-tikz/", "summary": "Bagian yang paling lama saat saya menyusun soal persamaan garis lurus biasanya bukan soalnya — melainkan gambarnya. Titik digeser sedikit meleset, garis kurang lurus, lalu gambar soal nomor satu dan nomor dua ukurannya tidak sama. Sejak memakai TikZ, pekerjaan itu berubah total: gambar tidak lagi digambar, melainkan ditulis.\n", "content_html" : "\u003cp\u003eBagian yang paling lama saat saya menyusun soal persamaan garis lurus biasanya bukan soalnya — melainkan gambarnya. Titik digeser sedikit meleset, garis kurang lurus, lalu gambar soal nomor satu dan nomor dua ukurannya tidak sama. Sejak memakai TikZ, pekerjaan itu berubah total: gambar tidak lagi digambar, melainkan \u003cem\u003editulis\u003c/em\u003e.\u003c/p\u003e\n\u003ch2 id=\"gagasan-dasarnya-gambar-adalah-kode\" class=\"headerLink\"\u003e\n \u003ca href=\"#gagasan-dasarnya-gambar-adalah-kode\" class=\"header-mark\"\u003e\u003c/a\u003e1 Gagasan dasarnya: gambar adalah kode\u003c/h2\u003e\u003cp\u003eTikZ adalah paket gambar untuk LaTeX. Kita mendeskripsikan gambar dengan perintah teks, dan komputer yang menggambarnya dengan teliti. Akibatnya sederhana dan menguntungkan guru:\u003c/p\u003e\n\u003cul\u003e\n\u003cli\u003eKoordinat $(4,1)$ akan selalu tepat di $(4,1)$, tidak bergeser setengah mili pun.\u003c/li\u003e\n\u003cli\u003eSatu gambar yang sudah jadi bisa dipakai ulang untuk sepuluh soal berikutnya — cukup ganti angkanya.\u003c/li\u003e\n\u003cli\u003eHasil cetaknya tajam pada ukuran berapa pun, karena gambarnya vektor.\u003c/li\u003e\n\u003c/ul\u003e\n\u003cp\u003eMenyiapkannya cukup satu baris di preambel dokumen:\u003c/p\u003e\n\u003cdiv class=\"code-block highlight is-open show-line-numbers tw:group tw:my-2\"\u003e\n \u003cdiv class=\"\n \n tw:flex \n tw:flex-row\n tw:flex-1 \n tw:justify-between \n tw:w-full tw:bg-bgColor-secondary\n \"\u003e \n \u003cbutton \n class=\"\n code-block-button\n tw:mx-2 \n tw:flex\n tw:flex-row\n tw:flex-1\"\n aria-hidden=\"true\"\u003e\n \u003cspan class=\"tw:group-[.is-open]:rotate-90 tw:transition-[transform] tw:duration-500 tw:ease-in-out tw:print:hidden! tw:w-min tw:h-min tw:my-1 tw:mx-1\"\u003e\u003csvg class=\"icon\"\n xmlns=\"http://www.w3.org/2000/svg\" viewBox=\"0 0 320 512\"\u003e\u003c!-- Font Awesome Free 5.15.4 by @fontawesome - https://fontawesome.com License - https://fontawesome.com/license/free (Icons: CC BY 4.0, Fonts: SIL OFL 1.1, Code: MIT License) --\u003e\u003cpath d=\"M285.476 272.971L91.132 467.314c-9.373 9.373-24.569 9.373-33.941 0l-22.667-22.667c-9.357-9.357-9.375-24.522-.04-33.901L188.505 256 34.484 101.255c-9.335-9.379-9.317-24.544.04-33.901l22.667-22.667c9.373-9.373 24.569-9.373 33.941 0L285.475 239.03c9.373 9.372 9.373 24.568.001 33.941z\"/\u003e\u003c/svg\u003e\u003c/span\u003e\n \u003cspan class=\"tw:select-none tw:my-1! tw:block\"\u003elatex\u003c/span\u003e\n \u003c/button\u003e\n\n \u003cdiv class=\"tw:flex\"\u003e\n \u003cbutton \n class=\"\n line-number-button\n tw:mx-2 \n tw:hidden \n tw:group-[.is-open]:block \n tw:group-[.show-line-numbers]:text-fgColor-link \n tw:print:hidden!\" \n title=\"Toggle line numbers\"\u003e\u003csvg class=\"icon\"\n xmlns=\"http://www.w3.org/2000/svg\" viewBox=\"0 0 512 512\"\u003e\u003c!-- Font Awesome Free 5.15.4 by @fontawesome - https://fontawesome.com License - https://fontawesome.com/license/free (Icons: CC BY 4.0, Fonts: SIL OFL 1.1, Code: MIT License) --\u003e\u003cpath d=\"M61.77 401l17.5-20.15a19.92 19.92 0 0 0 5.07-14.19v-3.31C84.34 356 80.5 352 73 352H16a8 8 0 0 0-8 8v16a8 8 0 0 0 8 8h22.83a157.41 157.41 0 0 0-11 12.31l-5.61 7c-4 5.07-5.25 10.13-2.8 14.88l1.05 1.93c3 5.76 6.29 7.88 12.25 7.88h4.73c10.33 0 15.94 2.44 15.94 9.09 0 4.72-4.2 8.22-14.36 8.22a41.54 41.54 0 0 1-15.47-3.12c-6.49-3.88-11.74-3.5-15.6 3.12l-5.59 9.31c-3.72 6.13-3.19 11.72 2.63 15.94 7.71 4.69 20.38 9.44 37 9.44 34.16 0 48.5-22.75 48.5-44.12-.03-14.38-9.12-29.76-28.73-34.88zM496 224H176a16 16 0 0 0-16 16v32a16 16 0 0 0 16 16h320a16 16 0 0 0 16-16v-32a16 16 0 0 0-16-16zm0-160H176a16 16 0 0 0-16 16v32a16 16 0 0 0 16 16h320a16 16 0 0 0 16-16V80a16 16 0 0 0-16-16zm0 320H176a16 16 0 0 0-16 16v32a16 16 0 0 0 16 16h320a16 16 0 0 0 16-16v-32a16 16 0 0 0-16-16zM16 160h64a8 8 0 0 0 8-8v-16a8 8 0 0 0-8-8H64V40a8 8 0 0 0-8-8H32a8 8 0 0 0-7.14 4.42l-8 16A8 8 0 0 0 24 64h8v64H16a8 8 0 0 0-8 8v16a8 8 0 0 0 8 8zm-3.91 160H80a8 8 0 0 0 8-8v-16a8 8 0 0 0-8-8H41.32c3.29-10.29 48.34-18.68 48.34-56.44 0-29.06-25-39.56-44.47-39.56-21.36 0-33.8 10-40.46 18.75-4.37 5.59-3 10.84 2.8 15.37l8.58 6.88c5.61 4.56 11 2.47 16.12-2.44a13.44 13.44 0 0 1 9.46-3.84c3.33 0 9.28 1.56 9.28 8.75C51 248.19 0 257.31 0 304.59v4C0 316 5.08 320 12.09 320z\"/\u003e\u003c/svg\u003e\u003c/button\u003e\n\n \u003cbutton \n class=\"\n wrap-code-button\n tw:select-none \n tw:mx-2 \n tw:hidden \n tw:group-[.is-open]:block \n tw:group-[.is-wrap]:text-fgColor-link \n tw:print:hidden!\" \n title=\"Toggle code wrap\"\u003e\u003csvg class=\"icon\"\n xmlns=\"http://www.w3.org/2000/svg\" viewBox=\"0 0 448 512\"\u003e\u003c!-- Font Awesome Free 5.15.4 by @fontawesome - https://fontawesome.com License - https://fontawesome.com/license/free (Icons: CC BY 4.0, Fonts: SIL OFL 1.1, Code: MIT License) --\u003e\u003cpath d=\"M16 132h416c8.837 0 16-7.163 16-16V76c0-8.837-7.163-16-16-16H16C7.163 60 0 67.163 0 76v40c0 8.837 7.163 16 16 16zm0 160h416c8.837 0 16-7.163 16-16v-40c0-8.837-7.163-16-16-16H16c-8.837 0-16 7.163-16 16v40c0 8.837 7.163 16 16 16zm0 160h416c8.837 0 16-7.163 16-16v-40c0-8.837-7.163-16-16-16H16c-8.837 0-16 7.163-16 16v40c0 8.837 7.163 16 16 16z\"/\u003e\u003c/svg\u003e\u003c/button\u003e\n \n \u003cbutton \n class=\"\n copy-code-button\n tw:select-none\n tw:mx-2 \n tw:hidden\n tw:group-[.is-open]:block\n tw:hover:text-fgColor-link \n tw:print:hidden!\"\n title=\"Copy code\"\u003e\n \u003cspan class=\"copy-icon tw:block\"\u003e\u003csvg class=\"icon\"\n xmlns=\"http://www.w3.org/2000/svg\" viewBox=\"0 0 448 512\"\u003e\u003c!-- Font Awesome Free 5.15.4 by @fontawesome - https://fontawesome.com License - https://fontawesome.com/license/free (Icons: CC BY 4.0, Fonts: SIL OFL 1.1, Code: MIT License) --\u003e\u003cpath d=\"M433.941 65.941l-51.882-51.882A48 48 0 0 0 348.118 0H176c-26.51 0-48 21.49-48 48v48H48c-26.51 0-48 21.49-48 48v320c0 26.51 21.49 48 48 48h224c26.51 0 48-21.49 48-48v-48h80c26.51 0 48-21.49 48-48V99.882a48 48 0 0 0-14.059-33.941zM266 464H54a6 6 0 0 1-6-6V150a6 6 0 0 1 6-6h74v224c0 26.51 21.49 48 48 48h96v42a6 6 0 0 1-6 6zm128-96H182a6 6 0 0 1-6-6V54a6 6 0 0 1 6-6h106v88c0 13.255 10.745 24 24 24h88v202a6 6 0 0 1-6 6zm6-256h-64V48h9.632c1.591 0 3.117.632 4.243 1.757l48.368 48.368a6 6 0 0 1 1.757 4.243V112z\"/\u003e\u003c/svg\u003e\u003c/span\u003e\n \u003cspan class=\"check-icon tw:hidden\"\u003e\u003csvg class=\"icon\"\n xmlns=\"http://www.w3.org/2000/svg\" viewBox=\"0 0 512 512\"\u003e\u003c!-- Font Awesome Free 5.15.4 by @fontawesome - https://fontawesome.com License - https://fontawesome.com/license/free (Icons: CC BY 4.0, Fonts: SIL OFL 1.1, Code: MIT License) --\u003e\u003cpath d=\"M173.898 439.404l-166.4-166.4c-9.997-9.997-9.997-26.206 0-36.204l36.203-36.204c9.997-9.998 26.207-9.998 36.204 0L192 312.69 432.095 72.596c9.997-9.997 26.207-9.997 36.204 0l36.203 36.204c9.997 9.997 9.997 26.206 0 36.204l-294.4 294.401c-9.998 9.997-26.207 9.997-36.204-.001z\"/\u003e\u003c/svg\u003e\u003c/span\u003e\n \u003c/button\u003e\n \n \u003cbutton \n class=\"\n tw:select-none \n tw:mx-2 \n tw:block \n tw:group-[.is-open]:hidden \n tw:print:hidden!\" \n disabled\n aria-hidden=\"true\"\u003e\u003csvg class=\"icon\"\n xmlns=\"http://www.w3.org/2000/svg\" viewBox=\"0 0 512 512\"\u003e\u003c!-- Font Awesome Free 5.15.4 by @fontawesome - https://fontawesome.com License - https://fontawesome.com/license/free (Icons: CC BY 4.0, Fonts: SIL OFL 1.1, Code: MIT License) --\u003e\u003cpath d=\"M328 256c0 39.8-32.2 72-72 72s-72-32.2-72-72 32.2-72 72-72 72 32.2 72 72zm104-72c-39.8 0-72 32.2-72 72s32.2 72 72 72 72-32.2 72-72-32.2-72-72-72zm-352 0c-39.8 0-72 32.2-72 72s32.2 72 72 72 72-32.2 72-72-32.2-72-72-72z\"/\u003e\u003c/svg\u003e\u003c/button\u003e\n \u003c/div\u003e\n \u003c/div\u003e\n \u003cpre style=\"counter-reset: codeblock;\" class=\"tw:block tw:m-0 tw:p-0\"\u003e\u003ccode \n id=\"codeblock-id-1\" \n class=\"\n chroma \n tw:block! \n tw:p-0\n tw:m-0\n tw:transition-[max-height] \n tw:duration-500 \n tw:ease-in-out \n tw:group-[.is-closed]:max-h-0! \n tw:group-[.is-wrap]:text-wrap\n tw:overflow-y-hidden\n tw:overflow-x-auto\n tw:scrollbar-thin\n \"\u003e\u003cspan class=\"line\"\u003e\u003cspan class=\"cl\"\u003e\u003cspan class=\"k\"\u003e\\usepackage\u003c/span\u003e\u003cspan class=\"nb\"\u003e{\u003c/span\u003etikz\u003cspan class=\"nb\"\u003e}\u003c/span\u003e\u003c/span\u003e\u003c/span\u003e\u003c/code\u003e\u003c/pre\u003e\n\u003c/div\u003e\n\u003ch2 id=\"kanvas-pertama-petak-dan-dua-sumbu\" class=\"headerLink\"\u003e\n \u003ca href=\"#kanvas-pertama-petak-dan-dua-sumbu\" class=\"header-mark\"\u003e\u003c/a\u003e2 Kanvas pertama: petak dan dua sumbu\u003c/h2\u003e\u003cp\u003eContoh di bawah memakai rentang $-6$ sampai $6$. Petak-petak tipis digambar lebih dulu, baru disusul sumbu $x$ dan sumbu $y$ yang lebih tebal:\u003c/p\u003e\n\u003cdiv class=\"code-block highlight is-open show-line-numbers tw:group tw:my-2\"\u003e\n \u003cdiv class=\"\n \n tw:flex \n tw:flex-row\n tw:flex-1 \n tw:justify-between \n tw:w-full tw:bg-bgColor-secondary\n \"\u003e \n \u003cbutton \n class=\"\n code-block-button\n tw:mx-2 \n tw:flex\n tw:flex-row\n tw:flex-1\"\n aria-hidden=\"true\"\u003e\n \u003cspan class=\"tw:group-[.is-open]:rotate-90 tw:transition-[transform] tw:duration-500 tw:ease-in-out tw:print:hidden! tw:w-min tw:h-min tw:my-1 tw:mx-1\"\u003e\u003csvg class=\"icon\"\n xmlns=\"http://www.w3.org/2000/svg\" viewBox=\"0 0 320 512\"\u003e\u003c!-- Font Awesome Free 5.15.4 by @fontawesome - https://fontawesome.com License - https://fontawesome.com/license/free (Icons: CC BY 4.0, Fonts: SIL OFL 1.1, Code: MIT License) --\u003e\u003cpath d=\"M285.476 272.971L91.132 467.314c-9.373 9.373-24.569 9.373-33.941 0l-22.667-22.667c-9.357-9.357-9.375-24.522-.04-33.901L188.505 256 34.484 101.255c-9.335-9.379-9.317-24.544.04-33.901l22.667-22.667c9.373-9.373 24.569-9.373 33.941 0L285.475 239.03c9.373 9.372 9.373 24.568.001 33.941z\"/\u003e\u003c/svg\u003e\u003c/span\u003e\n \u003cspan class=\"tw:select-none tw:my-1! tw:block\"\u003elatex\u003c/span\u003e\n \u003c/button\u003e\n\n \u003cdiv class=\"tw:flex\"\u003e\n \u003cbutton \n class=\"\n line-number-button\n tw:mx-2 \n tw:hidden \n tw:group-[.is-open]:block \n tw:group-[.show-line-numbers]:text-fgColor-link \n tw:print:hidden!\" \n title=\"Toggle line numbers\"\u003e\u003csvg class=\"icon\"\n xmlns=\"http://www.w3.org/2000/svg\" viewBox=\"0 0 512 512\"\u003e\u003c!-- Font Awesome Free 5.15.4 by @fontawesome - https://fontawesome.com License - https://fontawesome.com/license/free (Icons: CC BY 4.0, Fonts: SIL OFL 1.1, Code: MIT License) --\u003e\u003cpath d=\"M61.77 401l17.5-20.15a19.92 19.92 0 0 0 5.07-14.19v-3.31C84.34 356 80.5 352 73 352H16a8 8 0 0 0-8 8v16a8 8 0 0 0 8 8h22.83a157.41 157.41 0 0 0-11 12.31l-5.61 7c-4 5.07-5.25 10.13-2.8 14.88l1.05 1.93c3 5.76 6.29 7.88 12.25 7.88h4.73c10.33 0 15.94 2.44 15.94 9.09 0 4.72-4.2 8.22-14.36 8.22a41.54 41.54 0 0 1-15.47-3.12c-6.49-3.88-11.74-3.5-15.6 3.12l-5.59 9.31c-3.72 6.13-3.19 11.72 2.63 15.94 7.71 4.69 20.38 9.44 37 9.44 34.16 0 48.5-22.75 48.5-44.12-.03-14.38-9.12-29.76-28.73-34.88zM496 224H176a16 16 0 0 0-16 16v32a16 16 0 0 0 16 16h320a16 16 0 0 0 16-16v-32a16 16 0 0 0-16-16zm0-160H176a16 16 0 0 0-16 16v32a16 16 0 0 0 16 16h320a16 16 0 0 0 16-16V80a16 16 0 0 0-16-16zm0 320H176a16 16 0 0 0-16 16v32a16 16 0 0 0 16 16h320a16 16 0 0 0 16-16v-32a16 16 0 0 0-16-16zM16 160h64a8 8 0 0 0 8-8v-16a8 8 0 0 0-8-8H64V40a8 8 0 0 0-8-8H32a8 8 0 0 0-7.14 4.42l-8 16A8 8 0 0 0 24 64h8v64H16a8 8 0 0 0-8 8v16a8 8 0 0 0 8 8zm-3.91 160H80a8 8 0 0 0 8-8v-16a8 8 0 0 0-8-8H41.32c3.29-10.29 48.34-18.68 48.34-56.44 0-29.06-25-39.56-44.47-39.56-21.36 0-33.8 10-40.46 18.75-4.37 5.59-3 10.84 2.8 15.37l8.58 6.88c5.61 4.56 11 2.47 16.12-2.44a13.44 13.44 0 0 1 9.46-3.84c3.33 0 9.28 1.56 9.28 8.75C51 248.19 0 257.31 0 304.59v4C0 316 5.08 320 12.09 320z\"/\u003e\u003c/svg\u003e\u003c/button\u003e\n\n \u003cbutton \n class=\"\n wrap-code-button\n tw:select-none \n tw:mx-2 \n tw:hidden \n tw:group-[.is-open]:block \n tw:group-[.is-wrap]:text-fgColor-link \n tw:print:hidden!\" \n title=\"Toggle code wrap\"\u003e\u003csvg class=\"icon\"\n xmlns=\"http://www.w3.org/2000/svg\" viewBox=\"0 0 448 512\"\u003e\u003c!-- Font Awesome Free 5.15.4 by @fontawesome - https://fontawesome.com License - https://fontawesome.com/license/free (Icons: CC BY 4.0, Fonts: SIL OFL 1.1, Code: MIT License) --\u003e\u003cpath d=\"M16 132h416c8.837 0 16-7.163 16-16V76c0-8.837-7.163-16-16-16H16C7.163 60 0 67.163 0 76v40c0 8.837 7.163 16 16 16zm0 160h416c8.837 0 16-7.163 16-16v-40c0-8.837-7.163-16-16-16H16c-8.837 0-16 7.163-16 16v40c0 8.837 7.163 16 16 16zm0 160h416c8.837 0 16-7.163 16-16v-40c0-8.837-7.163-16-16-16H16c-8.837 0-16 7.163-16 16v40c0 8.837 7.163 16 16 16z\"/\u003e\u003c/svg\u003e\u003c/button\u003e\n \n \u003cbutton \n class=\"\n copy-code-button\n tw:select-none\n tw:mx-2 \n tw:hidden\n tw:group-[.is-open]:block\n tw:hover:text-fgColor-link \n tw:print:hidden!\"\n title=\"Copy code\"\u003e\n \u003cspan class=\"copy-icon tw:block\"\u003e\u003csvg class=\"icon\"\n xmlns=\"http://www.w3.org/2000/svg\" viewBox=\"0 0 448 512\"\u003e\u003c!-- Font Awesome Free 5.15.4 by @fontawesome - https://fontawesome.com License - https://fontawesome.com/license/free (Icons: CC BY 4.0, Fonts: SIL OFL 1.1, Code: MIT License) --\u003e\u003cpath d=\"M433.941 65.941l-51.882-51.882A48 48 0 0 0 348.118 0H176c-26.51 0-48 21.49-48 48v48H48c-26.51 0-48 21.49-48 48v320c0 26.51 21.49 48 48 48h224c26.51 0 48-21.49 48-48v-48h80c26.51 0 48-21.49 48-48V99.882a48 48 0 0 0-14.059-33.941zM266 464H54a6 6 0 0 1-6-6V150a6 6 0 0 1 6-6h74v224c0 26.51 21.49 48 48 48h96v42a6 6 0 0 1-6 6zm128-96H182a6 6 0 0 1-6-6V54a6 6 0 0 1 6-6h106v88c0 13.255 10.745 24 24 24h88v202a6 6 0 0 1-6 6zm6-256h-64V48h9.632c1.591 0 3.117.632 4.243 1.757l48.368 48.368a6 6 0 0 1 1.757 4.243V112z\"/\u003e\u003c/svg\u003e\u003c/span\u003e\n \u003cspan class=\"check-icon tw:hidden\"\u003e\u003csvg class=\"icon\"\n xmlns=\"http://www.w3.org/2000/svg\" viewBox=\"0 0 512 512\"\u003e\u003c!-- Font Awesome Free 5.15.4 by @fontawesome - https://fontawesome.com License - https://fontawesome.com/license/free (Icons: CC BY 4.0, Fonts: SIL OFL 1.1, Code: MIT License) --\u003e\u003cpath d=\"M173.898 439.404l-166.4-166.4c-9.997-9.997-9.997-26.206 0-36.204l36.203-36.204c9.997-9.998 26.207-9.998 36.204 0L192 312.69 432.095 72.596c9.997-9.997 26.207-9.997 36.204 0l36.203 36.204c9.997 9.997 9.997 26.206 0 36.204l-294.4 294.401c-9.998 9.997-26.207 9.997-36.204-.001z\"/\u003e\u003c/svg\u003e\u003c/span\u003e\n \u003c/button\u003e\n \n \u003cbutton \n class=\"\n tw:select-none \n tw:mx-2 \n tw:block \n tw:group-[.is-open]:hidden \n tw:print:hidden!\" \n disabled\n aria-hidden=\"true\"\u003e\u003csvg class=\"icon\"\n xmlns=\"http://www.w3.org/2000/svg\" viewBox=\"0 0 512 512\"\u003e\u003c!-- Font Awesome Free 5.15.4 by @fontawesome - https://fontawesome.com License - https://fontawesome.com/license/free (Icons: CC BY 4.0, Fonts: SIL OFL 1.1, Code: MIT License) --\u003e\u003cpath d=\"M328 256c0 39.8-32.2 72-72 72s-72-32.2-72-72 32.2-72 72-72 72 32.2 72 72zm104-72c-39.8 0-72 32.2-72 72s32.2 72 72 72 72-32.2 72-72-32.2-72-72-72zm-352 0c-39.8 0-72 32.2-72 72s32.2 72 72 72 72-32.2 72-72-32.2-72-72-72z\"/\u003e\u003c/svg\u003e\u003c/button\u003e\n \u003c/div\u003e\n \u003c/div\u003e\n \u003cpre style=\"counter-reset: codeblock;\" class=\"tw:block tw:m-0 tw:p-0\"\u003e\u003ccode \n id=\"codeblock-id-2\" \n class=\"\n chroma \n tw:block! \n tw:p-0\n tw:m-0\n tw:transition-[max-height] \n tw:duration-500 \n tw:ease-in-out \n tw:group-[.is-closed]:max-h-0! \n tw:group-[.is-wrap]:text-wrap\n tw:overflow-y-hidden\n tw:overflow-x-auto\n tw:scrollbar-thin\n \"\u003e\u003cspan class=\"line\"\u003e\u003cspan class=\"cl\"\u003e\u003cspan class=\"k\"\u003e\\begin\u003c/span\u003e\u003cspan class=\"nb\"\u003e{\u003c/span\u003etikzpicture\u003cspan class=\"nb\"\u003e}\u003c/span\u003e[scale=0.62]\n\u003c/span\u003e\u003c/span\u003e\u003cspan class=\"line\"\u003e\u003cspan class=\"cl\"\u003e \u003cspan class=\"c\"\u003e% petak pembantu\n\u003c/span\u003e\u003c/span\u003e\u003c/span\u003e\u003cspan class=\"line\"\u003e\u003cspan class=\"cl\"\u003e \u003cspan class=\"k\"\u003e\\draw\u003c/span\u003e\u003cspan class=\"na\"\u003e[gray!25]\u003c/span\u003e (-6,-6) grid (6,6);\n\u003c/span\u003e\u003c/span\u003e\u003cspan class=\"line\"\u003e\u003cspan class=\"cl\"\u003e \u003cspan class=\"c\"\u003e% kedua sumbu\n\u003c/span\u003e\u003c/span\u003e\u003c/span\u003e\u003cspan class=\"line\"\u003e\u003cspan class=\"cl\"\u003e \u003cspan class=\"k\"\u003e\\draw\u003c/span\u003e\u003cspan class=\"na\"\u003e[-\u0026gt;, very thick]\u003c/span\u003e (-6.4,0) -- (6.4,0);\n\u003c/span\u003e\u003c/span\u003e\u003cspan class=\"line\"\u003e\u003cspan class=\"cl\"\u003e \u003cspan class=\"k\"\u003e\\draw\u003c/span\u003e\u003cspan class=\"na\"\u003e[-\u0026gt;, very thick]\u003c/span\u003e (0,-6.4) -- (0,6.4);\n\u003c/span\u003e\u003c/span\u003e\u003cspan class=\"line\"\u003e\u003cspan class=\"cl\"\u003e \u003cspan class=\"k\"\u003e\\node\u003c/span\u003e at (6.4,-0.45) \u003cspan class=\"nb\"\u003e{\u003c/span\u003e\u003cspan class=\"s\"\u003e$\u003c/span\u003e\u003cspan class=\"nb\"\u003ex\u003c/span\u003e\u003cspan class=\"s\"\u003e$\u003c/span\u003e\u003cspan class=\"nb\"\u003e}\u003c/span\u003e;\n\u003c/span\u003e\u003c/span\u003e\u003cspan class=\"line\"\u003e\u003cspan class=\"cl\"\u003e \u003cspan class=\"k\"\u003e\\node\u003c/span\u003e at (0.45,6.4) \u003cspan class=\"nb\"\u003e{\u003c/span\u003e\u003cspan class=\"s\"\u003e$\u003c/span\u003e\u003cspan class=\"nb\"\u003ey\u003c/span\u003e\u003cspan class=\"s\"\u003e$\u003c/span\u003e\u003cspan class=\"nb\"\u003e}\u003c/span\u003e;\n\u003c/span\u003e\u003c/span\u003e\u003cspan class=\"line\"\u003e\u003cspan class=\"cl\"\u003e \u003cspan class=\"k\"\u003e\\node\u003c/span\u003e at (-0.4,-0.45) \u003cspan class=\"nb\"\u003e{\u003c/span\u003e\u003cspan class=\"s\"\u003e$\u003c/span\u003e\u003cspan class=\"m\"\u003e0\u003c/span\u003e\u003cspan class=\"s\"\u003e$\u003c/span\u003e\u003cspan class=\"nb\"\u003e}\u003c/span\u003e;\n\u003c/span\u003e\u003c/span\u003e\u003cspan class=\"line\"\u003e\u003cspan class=\"cl\"\u003e\u003cspan class=\"k\"\u003e\\end\u003c/span\u003e\u003cspan class=\"nb\"\u003e{\u003c/span\u003etikzpicture\u003cspan class=\"nb\"\u003e}\u003c/span\u003e\u003c/span\u003e\u003c/span\u003e\u003c/code\u003e\u003c/pre\u003e\n\u003c/div\u003e\n\u003cp\u003ePerhatikan pilihan \u003ccode\u003escale=0.62\u003c/code\u003e. Semua koordinat tetap ditulis dalam satuan matematika, sedangkan skala hanya mengatur besar gambar di kertas. Untuk naskah soal dua kolom, skala sekitar $0{,}6$ biasanya pas.\u003c/p\u003e\n\u003ch2 id=\"memberi-angka-pada-sumbu\" class=\"headerLink\"\u003e\n \u003ca href=\"#memberi-angka-pada-sumbu\" class=\"header-mark\"\u003e\u003c/a\u003e3 Memberi angka pada sumbu\u003c/h2\u003e\u003cp\u003eMengisi angka satu per satu melelahkan, jadi serahkan pada perulangan. Perintah berikut menulis angka $-6$ sampai $6$ pada kedua sumbu sekaligus, melewatkan angka nol yang sudah ditulis sebelumnya:\u003c/p\u003e\n\u003cdiv class=\"code-block highlight is-open show-line-numbers tw:group tw:my-2\"\u003e\n \u003cdiv class=\"\n \n tw:flex \n tw:flex-row\n tw:flex-1 \n tw:justify-between \n tw:w-full tw:bg-bgColor-secondary\n \"\u003e \n \u003cbutton \n class=\"\n code-block-button\n tw:mx-2 \n tw:flex\n tw:flex-row\n tw:flex-1\"\n aria-hidden=\"true\"\u003e\n \u003cspan class=\"tw:group-[.is-open]:rotate-90 tw:transition-[transform] tw:duration-500 tw:ease-in-out tw:print:hidden! tw:w-min tw:h-min tw:my-1 tw:mx-1\"\u003e\u003csvg class=\"icon\"\n xmlns=\"http://www.w3.org/2000/svg\" viewBox=\"0 0 320 512\"\u003e\u003c!-- Font Awesome Free 5.15.4 by @fontawesome - https://fontawesome.com License - https://fontawesome.com/license/free (Icons: CC BY 4.0, Fonts: SIL OFL 1.1, Code: MIT License) --\u003e\u003cpath d=\"M285.476 272.971L91.132 467.314c-9.373 9.373-24.569 9.373-33.941 0l-22.667-22.667c-9.357-9.357-9.375-24.522-.04-33.901L188.505 256 34.484 101.255c-9.335-9.379-9.317-24.544.04-33.901l22.667-22.667c9.373-9.373 24.569-9.373 33.941 0L285.475 239.03c9.373 9.372 9.373 24.568.001 33.941z\"/\u003e\u003c/svg\u003e\u003c/span\u003e\n \u003cspan class=\"tw:select-none tw:my-1! tw:block\"\u003elatex\u003c/span\u003e\n \u003c/button\u003e\n\n \u003cdiv class=\"tw:flex\"\u003e\n \u003cbutton \n class=\"\n line-number-button\n tw:mx-2 \n tw:hidden \n tw:group-[.is-open]:block \n tw:group-[.show-line-numbers]:text-fgColor-link \n tw:print:hidden!\" \n title=\"Toggle line numbers\"\u003e\u003csvg class=\"icon\"\n xmlns=\"http://www.w3.org/2000/svg\" viewBox=\"0 0 512 512\"\u003e\u003c!-- Font Awesome Free 5.15.4 by @fontawesome - https://fontawesome.com License - https://fontawesome.com/license/free (Icons: CC BY 4.0, Fonts: SIL OFL 1.1, Code: MIT License) --\u003e\u003cpath d=\"M61.77 401l17.5-20.15a19.92 19.92 0 0 0 5.07-14.19v-3.31C84.34 356 80.5 352 73 352H16a8 8 0 0 0-8 8v16a8 8 0 0 0 8 8h22.83a157.41 157.41 0 0 0-11 12.31l-5.61 7c-4 5.07-5.25 10.13-2.8 14.88l1.05 1.93c3 5.76 6.29 7.88 12.25 7.88h4.73c10.33 0 15.94 2.44 15.94 9.09 0 4.72-4.2 8.22-14.36 8.22a41.54 41.54 0 0 1-15.47-3.12c-6.49-3.88-11.74-3.5-15.6 3.12l-5.59 9.31c-3.72 6.13-3.19 11.72 2.63 15.94 7.71 4.69 20.38 9.44 37 9.44 34.16 0 48.5-22.75 48.5-44.12-.03-14.38-9.12-29.76-28.73-34.88zM496 224H176a16 16 0 0 0-16 16v32a16 16 0 0 0 16 16h320a16 16 0 0 0 16-16v-32a16 16 0 0 0-16-16zm0-160H176a16 16 0 0 0-16 16v32a16 16 0 0 0 16 16h320a16 16 0 0 0 16-16V80a16 16 0 0 0-16-16zm0 320H176a16 16 0 0 0-16 16v32a16 16 0 0 0 16 16h320a16 16 0 0 0 16-16v-32a16 16 0 0 0-16-16zM16 160h64a8 8 0 0 0 8-8v-16a8 8 0 0 0-8-8H64V40a8 8 0 0 0-8-8H32a8 8 0 0 0-7.14 4.42l-8 16A8 8 0 0 0 24 64h8v64H16a8 8 0 0 0-8 8v16a8 8 0 0 0 8 8zm-3.91 160H80a8 8 0 0 0 8-8v-16a8 8 0 0 0-8-8H41.32c3.29-10.29 48.34-18.68 48.34-56.44 0-29.06-25-39.56-44.47-39.56-21.36 0-33.8 10-40.46 18.75-4.37 5.59-3 10.84 2.8 15.37l8.58 6.88c5.61 4.56 11 2.47 16.12-2.44a13.44 13.44 0 0 1 9.46-3.84c3.33 0 9.28 1.56 9.28 8.75C51 248.19 0 257.31 0 304.59v4C0 316 5.08 320 12.09 320z\"/\u003e\u003c/svg\u003e\u003c/button\u003e\n\n \u003cbutton \n class=\"\n wrap-code-button\n tw:select-none \n tw:mx-2 \n tw:hidden \n tw:group-[.is-open]:block \n tw:group-[.is-wrap]:text-fgColor-link \n tw:print:hidden!\" \n title=\"Toggle code wrap\"\u003e\u003csvg class=\"icon\"\n xmlns=\"http://www.w3.org/2000/svg\" viewBox=\"0 0 448 512\"\u003e\u003c!-- Font Awesome Free 5.15.4 by @fontawesome - https://fontawesome.com License - https://fontawesome.com/license/free (Icons: CC BY 4.0, Fonts: SIL OFL 1.1, Code: MIT License) --\u003e\u003cpath d=\"M16 132h416c8.837 0 16-7.163 16-16V76c0-8.837-7.163-16-16-16H16C7.163 60 0 67.163 0 76v40c0 8.837 7.163 16 16 16zm0 160h416c8.837 0 16-7.163 16-16v-40c0-8.837-7.163-16-16-16H16c-8.837 0-16 7.163-16 16v40c0 8.837 7.163 16 16 16zm0 160h416c8.837 0 16-7.163 16-16v-40c0-8.837-7.163-16-16-16H16c-8.837 0-16 7.163-16 16v40c0 8.837 7.163 16 16 16z\"/\u003e\u003c/svg\u003e\u003c/button\u003e\n \n \u003cbutton \n class=\"\n copy-code-button\n tw:select-none\n tw:mx-2 \n tw:hidden\n tw:group-[.is-open]:block\n tw:hover:text-fgColor-link \n tw:print:hidden!\"\n title=\"Copy code\"\u003e\n \u003cspan class=\"copy-icon tw:block\"\u003e\u003csvg class=\"icon\"\n xmlns=\"http://www.w3.org/2000/svg\" viewBox=\"0 0 448 512\"\u003e\u003c!-- Font Awesome Free 5.15.4 by @fontawesome - https://fontawesome.com License - https://fontawesome.com/license/free (Icons: CC BY 4.0, Fonts: SIL OFL 1.1, Code: MIT License) --\u003e\u003cpath d=\"M433.941 65.941l-51.882-51.882A48 48 0 0 0 348.118 0H176c-26.51 0-48 21.49-48 48v48H48c-26.51 0-48 21.49-48 48v320c0 26.51 21.49 48 48 48h224c26.51 0 48-21.49 48-48v-48h80c26.51 0 48-21.49 48-48V99.882a48 48 0 0 0-14.059-33.941zM266 464H54a6 6 0 0 1-6-6V150a6 6 0 0 1 6-6h74v224c0 26.51 21.49 48 48 48h96v42a6 6 0 0 1-6 6zm128-96H182a6 6 0 0 1-6-6V54a6 6 0 0 1 6-6h106v88c0 13.255 10.745 24 24 24h88v202a6 6 0 0 1-6 6zm6-256h-64V48h9.632c1.591 0 3.117.632 4.243 1.757l48.368 48.368a6 6 0 0 1 1.757 4.243V112z\"/\u003e\u003c/svg\u003e\u003c/span\u003e\n \u003cspan class=\"check-icon tw:hidden\"\u003e\u003csvg class=\"icon\"\n xmlns=\"http://www.w3.org/2000/svg\" viewBox=\"0 0 512 512\"\u003e\u003c!-- Font Awesome Free 5.15.4 by @fontawesome - https://fontawesome.com License - https://fontawesome.com/license/free (Icons: CC BY 4.0, Fonts: SIL OFL 1.1, Code: MIT License) --\u003e\u003cpath d=\"M173.898 439.404l-166.4-166.4c-9.997-9.997-9.997-26.206 0-36.204l36.203-36.204c9.997-9.998 26.207-9.998 36.204 0L192 312.69 432.095 72.596c9.997-9.997 26.207-9.997 36.204 0l36.203 36.204c9.997 9.997 9.997 26.206 0 36.204l-294.4 294.401c-9.998 9.997-26.207 9.997-36.204-.001z\"/\u003e\u003c/svg\u003e\u003c/span\u003e\n \u003c/button\u003e\n \n \u003cbutton \n class=\"\n tw:select-none \n tw:mx-2 \n tw:block \n tw:group-[.is-open]:hidden \n tw:print:hidden!\" \n disabled\n aria-hidden=\"true\"\u003e\u003csvg class=\"icon\"\n xmlns=\"http://www.w3.org/2000/svg\" viewBox=\"0 0 512 512\"\u003e\u003c!-- Font Awesome Free 5.15.4 by @fontawesome - https://fontawesome.com License - https://fontawesome.com/license/free (Icons: CC BY 4.0, Fonts: SIL OFL 1.1, Code: MIT License) --\u003e\u003cpath d=\"M328 256c0 39.8-32.2 72-72 72s-72-32.2-72-72 32.2-72 72-72 72 32.2 72 72zm104-72c-39.8 0-72 32.2-72 72s32.2 72 72 72 72-32.2 72-72-32.2-72-72-72zm-352 0c-39.8 0-72 32.2-72 72s32.2 72 72 72 72-32.2 72-72-32.2-72-72-72z\"/\u003e\u003c/svg\u003e\u003c/button\u003e\n \u003c/div\u003e\n \u003c/div\u003e\n \u003cpre style=\"counter-reset: codeblock;\" class=\"tw:block tw:m-0 tw:p-0\"\u003e\u003ccode \n id=\"codeblock-id-3\" \n class=\"\n chroma \n tw:block! \n tw:p-0\n tw:m-0\n tw:transition-[max-height] \n tw:duration-500 \n tw:ease-in-out \n tw:group-[.is-closed]:max-h-0! \n tw:group-[.is-wrap]:text-wrap\n tw:overflow-y-hidden\n tw:overflow-x-auto\n tw:scrollbar-thin\n \"\u003e\u003cspan class=\"line\"\u003e\u003cspan class=\"cl\"\u003e\u003cspan class=\"k\"\u003e\\foreach\u003c/span\u003e \u003cspan class=\"k\"\u003e\\n\u003c/span\u003e in \u003cspan class=\"nb\"\u003e{\u003c/span\u003e-6,...,-1,1,2,...,6\u003cspan class=\"nb\"\u003e}\u003c/span\u003e \u003cspan class=\"nb\"\u003e{\u003c/span\u003e\n\u003c/span\u003e\u003c/span\u003e\u003cspan class=\"line\"\u003e\u003cspan class=\"cl\"\u003e \u003cspan class=\"k\"\u003e\\node\u003c/span\u003e\u003cspan class=\"na\"\u003e[below]\u003c/span\u003e at (\u003cspan class=\"k\"\u003e\\n\u003c/span\u003e,0) \u003cspan class=\"nb\"\u003e{\u003c/span\u003e\u003cspan class=\"k\"\u003e\\footnotesize\u003c/span\u003e \u003cspan class=\"s\"\u003e$\u003c/span\u003e\u003cspan class=\"nv\"\u003e\\n\u003c/span\u003e\u003cspan class=\"s\"\u003e$\u003c/span\u003e\u003cspan class=\"nb\"\u003e}\u003c/span\u003e;\n\u003c/span\u003e\u003c/span\u003e\u003cspan class=\"line\"\u003e\u003cspan class=\"cl\"\u003e \u003cspan class=\"k\"\u003e\\node\u003c/span\u003e\u003cspan class=\"na\"\u003e[left]\u003c/span\u003e at (0,\u003cspan class=\"k\"\u003e\\n\u003c/span\u003e) \u003cspan class=\"nb\"\u003e{\u003c/span\u003e\u003cspan class=\"k\"\u003e\\footnotesize\u003c/span\u003e \u003cspan class=\"s\"\u003e$\u003c/span\u003e\u003cspan class=\"nv\"\u003e\\n\u003c/span\u003e\u003cspan class=\"s\"\u003e$\u003c/span\u003e\u003cspan class=\"nb\"\u003e}\u003c/span\u003e;\n\u003c/span\u003e\u003c/span\u003e\u003cspan class=\"line\"\u003e\u003cspan class=\"cl\"\u003e\u003cspan class=\"nb\"\u003e}\u003c/span\u003e\u003c/span\u003e\u003c/span\u003e\u003c/code\u003e\u003c/pre\u003e\n\u003c/div\u003e\n\u003cp\u003eTanda centang kecil pada tiap posisi bisa ditambahkan bila perlu, tetapi untuk bahan ajar SMP angka saja umumnya sudah cukup jelas dibaca siswa.\u003c/p\u003e\n\u003ch2 id=\"menaruh-titik-dan-membaca-posisinya\" class=\"headerLink\"\u003e\n \u003ca href=\"#menaruh-titik-dan-membaca-posisinya\" class=\"header-mark\"\u003e\u003c/a\u003e4 Menaruh titik dan membaca posisinya\u003c/h2\u003e\u003cp\u003eMisalkan soal meminta siswa membaca koordinat titik $P$ dan $Q$, dengan $P(4,1)$ dan $Q(-2,5)$. Kodenya benar-benar hanya menuliskan kedua pasangan bilangan itu:\u003c/p\u003e\n\u003cdiv class=\"code-block highlight is-open show-line-numbers tw:group tw:my-2\"\u003e\n \u003cdiv class=\"\n \n tw:flex \n tw:flex-row\n tw:flex-1 \n tw:justify-between \n tw:w-full tw:bg-bgColor-secondary\n \"\u003e \n \u003cbutton \n class=\"\n code-block-button\n tw:mx-2 \n tw:flex\n tw:flex-row\n tw:flex-1\"\n aria-hidden=\"true\"\u003e\n \u003cspan class=\"tw:group-[.is-open]:rotate-90 tw:transition-[transform] tw:duration-500 tw:ease-in-out tw:print:hidden! tw:w-min tw:h-min tw:my-1 tw:mx-1\"\u003e\u003csvg class=\"icon\"\n xmlns=\"http://www.w3.org/2000/svg\" viewBox=\"0 0 320 512\"\u003e\u003c!-- Font Awesome Free 5.15.4 by @fontawesome - https://fontawesome.com License - https://fontawesome.com/license/free (Icons: CC BY 4.0, Fonts: SIL OFL 1.1, Code: MIT License) --\u003e\u003cpath d=\"M285.476 272.971L91.132 467.314c-9.373 9.373-24.569 9.373-33.941 0l-22.667-22.667c-9.357-9.357-9.375-24.522-.04-33.901L188.505 256 34.484 101.255c-9.335-9.379-9.317-24.544.04-33.901l22.667-22.667c9.373-9.373 24.569-9.373 33.941 0L285.475 239.03c9.373 9.372 9.373 24.568.001 33.941z\"/\u003e\u003c/svg\u003e\u003c/span\u003e\n \u003cspan class=\"tw:select-none tw:my-1! tw:block\"\u003elatex\u003c/span\u003e\n \u003c/button\u003e\n\n \u003cdiv class=\"tw:flex\"\u003e\n \u003cbutton \n class=\"\n line-number-button\n tw:mx-2 \n tw:hidden \n tw:group-[.is-open]:block \n tw:group-[.show-line-numbers]:text-fgColor-link \n tw:print:hidden!\" \n title=\"Toggle line numbers\"\u003e\u003csvg class=\"icon\"\n xmlns=\"http://www.w3.org/2000/svg\" viewBox=\"0 0 512 512\"\u003e\u003c!-- Font Awesome Free 5.15.4 by @fontawesome - https://fontawesome.com License - https://fontawesome.com/license/free (Icons: CC BY 4.0, Fonts: SIL OFL 1.1, Code: MIT License) --\u003e\u003cpath d=\"M61.77 401l17.5-20.15a19.92 19.92 0 0 0 5.07-14.19v-3.31C84.34 356 80.5 352 73 352H16a8 8 0 0 0-8 8v16a8 8 0 0 0 8 8h22.83a157.41 157.41 0 0 0-11 12.31l-5.61 7c-4 5.07-5.25 10.13-2.8 14.88l1.05 1.93c3 5.76 6.29 7.88 12.25 7.88h4.73c10.33 0 15.94 2.44 15.94 9.09 0 4.72-4.2 8.22-14.36 8.22a41.54 41.54 0 0 1-15.47-3.12c-6.49-3.88-11.74-3.5-15.6 3.12l-5.59 9.31c-3.72 6.13-3.19 11.72 2.63 15.94 7.71 4.69 20.38 9.44 37 9.44 34.16 0 48.5-22.75 48.5-44.12-.03-14.38-9.12-29.76-28.73-34.88zM496 224H176a16 16 0 0 0-16 16v32a16 16 0 0 0 16 16h320a16 16 0 0 0 16-16v-32a16 16 0 0 0-16-16zm0-160H176a16 16 0 0 0-16 16v32a16 16 0 0 0 16 16h320a16 16 0 0 0 16-16V80a16 16 0 0 0-16-16zm0 320H176a16 16 0 0 0-16 16v32a16 16 0 0 0 16 16h320a16 16 0 0 0 16-16v-32a16 16 0 0 0-16-16zM16 160h64a8 8 0 0 0 8-8v-16a8 8 0 0 0-8-8H64V40a8 8 0 0 0-8-8H32a8 8 0 0 0-7.14 4.42l-8 16A8 8 0 0 0 24 64h8v64H16a8 8 0 0 0-8 8v16a8 8 0 0 0 8 8zm-3.91 160H80a8 8 0 0 0 8-8v-16a8 8 0 0 0-8-8H41.32c3.29-10.29 48.34-18.68 48.34-56.44 0-29.06-25-39.56-44.47-39.56-21.36 0-33.8 10-40.46 18.75-4.37 5.59-3 10.84 2.8 15.37l8.58 6.88c5.61 4.56 11 2.47 16.12-2.44a13.44 13.44 0 0 1 9.46-3.84c3.33 0 9.28 1.56 9.28 8.75C51 248.19 0 257.31 0 304.59v4C0 316 5.08 320 12.09 320z\"/\u003e\u003c/svg\u003e\u003c/button\u003e\n\n \u003cbutton \n class=\"\n wrap-code-button\n tw:select-none \n tw:mx-2 \n tw:hidden \n tw:group-[.is-open]:block \n tw:group-[.is-wrap]:text-fgColor-link \n tw:print:hidden!\" \n title=\"Toggle code wrap\"\u003e\u003csvg class=\"icon\"\n xmlns=\"http://www.w3.org/2000/svg\" viewBox=\"0 0 448 512\"\u003e\u003c!-- Font Awesome Free 5.15.4 by @fontawesome - https://fontawesome.com License - https://fontawesome.com/license/free (Icons: CC BY 4.0, Fonts: SIL OFL 1.1, Code: MIT License) --\u003e\u003cpath d=\"M16 132h416c8.837 0 16-7.163 16-16V76c0-8.837-7.163-16-16-16H16C7.163 60 0 67.163 0 76v40c0 8.837 7.163 16 16 16zm0 160h416c8.837 0 16-7.163 16-16v-40c0-8.837-7.163-16-16-16H16c-8.837 0-16 7.163-16 16v40c0 8.837 7.163 16 16 16zm0 160h416c8.837 0 16-7.163 16-16v-40c0-8.837-7.163-16-16-16H16c-8.837 0-16 7.163-16 16v40c0 8.837 7.163 16 16 16z\"/\u003e\u003c/svg\u003e\u003c/button\u003e\n \n \u003cbutton \n class=\"\n copy-code-button\n tw:select-none\n tw:mx-2 \n tw:hidden\n tw:group-[.is-open]:block\n tw:hover:text-fgColor-link \n tw:print:hidden!\"\n title=\"Copy code\"\u003e\n \u003cspan class=\"copy-icon tw:block\"\u003e\u003csvg class=\"icon\"\n xmlns=\"http://www.w3.org/2000/svg\" viewBox=\"0 0 448 512\"\u003e\u003c!-- Font Awesome Free 5.15.4 by @fontawesome - https://fontawesome.com License - https://fontawesome.com/license/free (Icons: CC BY 4.0, Fonts: SIL OFL 1.1, Code: MIT License) --\u003e\u003cpath d=\"M433.941 65.941l-51.882-51.882A48 48 0 0 0 348.118 0H176c-26.51 0-48 21.49-48 48v48H48c-26.51 0-48 21.49-48 48v320c0 26.51 21.49 48 48 48h224c26.51 0 48-21.49 48-48v-48h80c26.51 0 48-21.49 48-48V99.882a48 48 0 0 0-14.059-33.941zM266 464H54a6 6 0 0 1-6-6V150a6 6 0 0 1 6-6h74v224c0 26.51 21.49 48 48 48h96v42a6 6 0 0 1-6 6zm128-96H182a6 6 0 0 1-6-6V54a6 6 0 0 1 6-6h106v88c0 13.255 10.745 24 24 24h88v202a6 6 0 0 1-6 6zm6-256h-64V48h9.632c1.591 0 3.117.632 4.243 1.757l48.368 48.368a6 6 0 0 1 1.757 4.243V112z\"/\u003e\u003c/svg\u003e\u003c/span\u003e\n \u003cspan class=\"check-icon tw:hidden\"\u003e\u003csvg class=\"icon\"\n xmlns=\"http://www.w3.org/2000/svg\" viewBox=\"0 0 512 512\"\u003e\u003c!-- Font Awesome Free 5.15.4 by @fontawesome - https://fontawesome.com License - https://fontawesome.com/license/free (Icons: CC BY 4.0, Fonts: SIL OFL 1.1, Code: MIT License) --\u003e\u003cpath d=\"M173.898 439.404l-166.4-166.4c-9.997-9.997-9.997-26.206 0-36.204l36.203-36.204c9.997-9.998 26.207-9.998 36.204 0L192 312.69 432.095 72.596c9.997-9.997 26.207-9.997 36.204 0l36.203 36.204c9.997 9.997 9.997 26.206 0 36.204l-294.4 294.401c-9.998 9.997-26.207 9.997-36.204-.001z\"/\u003e\u003c/svg\u003e\u003c/span\u003e\n \u003c/button\u003e\n \n \u003cbutton \n class=\"\n tw:select-none \n tw:mx-2 \n tw:block \n tw:group-[.is-open]:hidden \n tw:print:hidden!\" \n disabled\n aria-hidden=\"true\"\u003e\u003csvg class=\"icon\"\n xmlns=\"http://www.w3.org/2000/svg\" viewBox=\"0 0 512 512\"\u003e\u003c!-- Font Awesome Free 5.15.4 by @fontawesome - https://fontawesome.com License - https://fontawesome.com/license/free (Icons: CC BY 4.0, Fonts: SIL OFL 1.1, Code: MIT License) --\u003e\u003cpath d=\"M328 256c0 39.8-32.2 72-72 72s-72-32.2-72-72 32.2-72 72-72 72 32.2 72 72zm104-72c-39.8 0-72 32.2-72 72s32.2 72 72 72 72-32.2 72-72-32.2-72-72-72zm-352 0c-39.8 0-72 32.2-72 72s32.2 72 72 72 72-32.2 72-72-32.2-72-72-72z\"/\u003e\u003c/svg\u003e\u003c/button\u003e\n \u003c/div\u003e\n \u003c/div\u003e\n \u003cpre style=\"counter-reset: codeblock;\" class=\"tw:block tw:m-0 tw:p-0\"\u003e\u003ccode \n id=\"codeblock-id-4\" \n class=\"\n chroma \n tw:block! \n tw:p-0\n tw:m-0\n tw:transition-[max-height] \n tw:duration-500 \n tw:ease-in-out \n tw:group-[.is-closed]:max-h-0! \n tw:group-[.is-wrap]:text-wrap\n tw:overflow-y-hidden\n tw:overflow-x-auto\n tw:scrollbar-thin\n \"\u003e\u003cspan class=\"line\"\u003e\u003cspan class=\"cl\"\u003e\u003cspan class=\"k\"\u003e\\fill\u003c/span\u003e\u003cspan class=\"na\"\u003e[red!70!black]\u003c/span\u003e (4,1) circle (3pt);\n\u003c/span\u003e\u003c/span\u003e\u003cspan class=\"line\"\u003e\u003cspan class=\"cl\"\u003e\u003cspan class=\"k\"\u003e\\node\u003c/span\u003e\u003cspan class=\"na\"\u003e[below right]\u003c/span\u003e at (4,1) \u003cspan class=\"nb\"\u003e{\u003c/span\u003e\u003cspan class=\"s\"\u003e$\u003c/span\u003e\u003cspan class=\"nb\"\u003eP\u003c/span\u003e\u003cspan class=\"o\"\u003e(\u003c/span\u003e\u003cspan class=\"m\"\u003e4\u003c/span\u003e\u003cspan class=\"nb\"\u003e,\u003c/span\u003e\u003cspan class=\"m\"\u003e1\u003c/span\u003e\u003cspan class=\"o\"\u003e)\u003c/span\u003e\u003cspan class=\"s\"\u003e$\u003c/span\u003e\u003cspan class=\"nb\"\u003e}\u003c/span\u003e;\n\u003c/span\u003e\u003c/span\u003e\u003cspan class=\"line\"\u003e\u003cspan class=\"cl\"\u003e\u003cspan class=\"k\"\u003e\\fill\u003c/span\u003e\u003cspan class=\"na\"\u003e[blue!70!black]\u003c/span\u003e (-2,5) circle (3pt);\n\u003c/span\u003e\u003c/span\u003e\u003cspan class=\"line\"\u003e\u003cspan class=\"cl\"\u003e\u003cspan class=\"k\"\u003e\\node\u003c/span\u003e\u003cspan class=\"na\"\u003e[above left]\u003c/span\u003e at (-2,5) \u003cspan class=\"nb\"\u003e{\u003c/span\u003e\u003cspan class=\"s\"\u003e$\u003c/span\u003e\u003cspan class=\"nb\"\u003eQ\u003c/span\u003e\u003cspan class=\"o\"\u003e(-\u003c/span\u003e\u003cspan class=\"m\"\u003e2\u003c/span\u003e\u003cspan class=\"nb\"\u003e,\u003c/span\u003e\u003cspan class=\"m\"\u003e5\u003c/span\u003e\u003cspan class=\"o\"\u003e)\u003c/span\u003e\u003cspan class=\"s\"\u003e$\u003c/span\u003e\u003cspan class=\"nb\"\u003e}\u003c/span\u003e;\u003c/span\u003e\u003c/span\u003e\u003c/code\u003e\u003c/pre\u003e\n\u003c/div\u003e\n\u003cp\u003eUrutan pengerjaan soal pun berubah menjadi lebih jujur: saya menentukan dulu titiknya di kunci jawaban, lalu kode menggambar persis titik yang sama di lembar soal. Tidak ada lagi kunci yang berbeda dengan gambar.\u003c/p\u003e\n\u003ch2 id=\"menarik-garis-dan-memeriksa-gradiennya\" class=\"headerLink\"\u003e\n \u003ca href=\"#menarik-garis-dan-memeriksa-gradiennya\" class=\"header-mark\"\u003e\u003c/a\u003e5 Menarik garis dan memeriksa gradiennya\u003c/h2\u003e\u003cp\u003eMenghubungkan $P$ dan $Q$ cukup dengan satu perintah:\u003c/p\u003e\n\u003cdiv class=\"code-block highlight is-open show-line-numbers tw:group tw:my-2\"\u003e\n \u003cdiv class=\"\n \n tw:flex \n tw:flex-row\n tw:flex-1 \n tw:justify-between \n tw:w-full tw:bg-bgColor-secondary\n \"\u003e \n \u003cbutton \n class=\"\n code-block-button\n tw:mx-2 \n tw:flex\n tw:flex-row\n tw:flex-1\"\n aria-hidden=\"true\"\u003e\n \u003cspan class=\"tw:group-[.is-open]:rotate-90 tw:transition-[transform] tw:duration-500 tw:ease-in-out tw:print:hidden! tw:w-min tw:h-min tw:my-1 tw:mx-1\"\u003e\u003csvg class=\"icon\"\n xmlns=\"http://www.w3.org/2000/svg\" viewBox=\"0 0 320 512\"\u003e\u003c!-- Font Awesome Free 5.15.4 by @fontawesome - https://fontawesome.com License - https://fontawesome.com/license/free (Icons: CC BY 4.0, Fonts: SIL OFL 1.1, Code: MIT License) --\u003e\u003cpath d=\"M285.476 272.971L91.132 467.314c-9.373 9.373-24.569 9.373-33.941 0l-22.667-22.667c-9.357-9.357-9.375-24.522-.04-33.901L188.505 256 34.484 101.255c-9.335-9.379-9.317-24.544.04-33.901l22.667-22.667c9.373-9.373 24.569-9.373 33.941 0L285.475 239.03c9.373 9.372 9.373 24.568.001 33.941z\"/\u003e\u003c/svg\u003e\u003c/span\u003e\n \u003cspan class=\"tw:select-none tw:my-1! tw:block\"\u003elatex\u003c/span\u003e\n \u003c/button\u003e\n\n \u003cdiv class=\"tw:flex\"\u003e\n \u003cbutton \n class=\"\n line-number-button\n tw:mx-2 \n tw:hidden \n tw:group-[.is-open]:block \n tw:group-[.show-line-numbers]:text-fgColor-link \n tw:print:hidden!\" \n title=\"Toggle line numbers\"\u003e\u003csvg class=\"icon\"\n xmlns=\"http://www.w3.org/2000/svg\" viewBox=\"0 0 512 512\"\u003e\u003c!-- Font Awesome Free 5.15.4 by @fontawesome - https://fontawesome.com License - https://fontawesome.com/license/free (Icons: CC BY 4.0, Fonts: SIL OFL 1.1, Code: MIT License) --\u003e\u003cpath d=\"M61.77 401l17.5-20.15a19.92 19.92 0 0 0 5.07-14.19v-3.31C84.34 356 80.5 352 73 352H16a8 8 0 0 0-8 8v16a8 8 0 0 0 8 8h22.83a157.41 157.41 0 0 0-11 12.31l-5.61 7c-4 5.07-5.25 10.13-2.8 14.88l1.05 1.93c3 5.76 6.29 7.88 12.25 7.88h4.73c10.33 0 15.94 2.44 15.94 9.09 0 4.72-4.2 8.22-14.36 8.22a41.54 41.54 0 0 1-15.47-3.12c-6.49-3.88-11.74-3.5-15.6 3.12l-5.59 9.31c-3.72 6.13-3.19 11.72 2.63 15.94 7.71 4.69 20.38 9.44 37 9.44 34.16 0 48.5-22.75 48.5-44.12-.03-14.38-9.12-29.76-28.73-34.88zM496 224H176a16 16 0 0 0-16 16v32a16 16 0 0 0 16 16h320a16 16 0 0 0 16-16v-32a16 16 0 0 0-16-16zm0-160H176a16 16 0 0 0-16 16v32a16 16 0 0 0 16 16h320a16 16 0 0 0 16-16V80a16 16 0 0 0-16-16zm0 320H176a16 16 0 0 0-16 16v32a16 16 0 0 0 16 16h320a16 16 0 0 0 16-16v-32a16 16 0 0 0-16-16zM16 160h64a8 8 0 0 0 8-8v-16a8 8 0 0 0-8-8H64V40a8 8 0 0 0-8-8H32a8 8 0 0 0-7.14 4.42l-8 16A8 8 0 0 0 24 64h8v64H16a8 8 0 0 0-8 8v16a8 8 0 0 0 8 8zm-3.91 160H80a8 8 0 0 0 8-8v-16a8 8 0 0 0-8-8H41.32c3.29-10.29 48.34-18.68 48.34-56.44 0-29.06-25-39.56-44.47-39.56-21.36 0-33.8 10-40.46 18.75-4.37 5.59-3 10.84 2.8 15.37l8.58 6.88c5.61 4.56 11 2.47 16.12-2.44a13.44 13.44 0 0 1 9.46-3.84c3.33 0 9.28 1.56 9.28 8.75C51 248.19 0 257.31 0 304.59v4C0 316 5.08 320 12.09 320z\"/\u003e\u003c/svg\u003e\u003c/button\u003e\n\n \u003cbutton \n class=\"\n wrap-code-button\n tw:select-none \n tw:mx-2 \n tw:hidden \n tw:group-[.is-open]:block \n tw:group-[.is-wrap]:text-fgColor-link \n tw:print:hidden!\" \n title=\"Toggle code wrap\"\u003e\u003csvg class=\"icon\"\n xmlns=\"http://www.w3.org/2000/svg\" viewBox=\"0 0 448 512\"\u003e\u003c!-- Font Awesome Free 5.15.4 by @fontawesome - https://fontawesome.com License - https://fontawesome.com/license/free (Icons: CC BY 4.0, Fonts: SIL OFL 1.1, Code: MIT License) --\u003e\u003cpath d=\"M16 132h416c8.837 0 16-7.163 16-16V76c0-8.837-7.163-16-16-16H16C7.163 60 0 67.163 0 76v40c0 8.837 7.163 16 16 16zm0 160h416c8.837 0 16-7.163 16-16v-40c0-8.837-7.163-16-16-16H16c-8.837 0-16 7.163-16 16v40c0 8.837 7.163 16 16 16zm0 160h416c8.837 0 16-7.163 16-16v-40c0-8.837-7.163-16-16-16H16c-8.837 0-16 7.163-16 16v40c0 8.837 7.163 16 16 16z\"/\u003e\u003c/svg\u003e\u003c/button\u003e\n \n \u003cbutton \n class=\"\n copy-code-button\n tw:select-none\n tw:mx-2 \n tw:hidden\n tw:group-[.is-open]:block\n tw:hover:text-fgColor-link \n tw:print:hidden!\"\n title=\"Copy code\"\u003e\n \u003cspan class=\"copy-icon tw:block\"\u003e\u003csvg class=\"icon\"\n xmlns=\"http://www.w3.org/2000/svg\" viewBox=\"0 0 448 512\"\u003e\u003c!-- Font Awesome Free 5.15.4 by @fontawesome - https://fontawesome.com License - https://fontawesome.com/license/free (Icons: CC BY 4.0, Fonts: SIL OFL 1.1, Code: MIT License) --\u003e\u003cpath d=\"M433.941 65.941l-51.882-51.882A48 48 0 0 0 348.118 0H176c-26.51 0-48 21.49-48 48v48H48c-26.51 0-48 21.49-48 48v320c0 26.51 21.49 48 48 48h224c26.51 0 48-21.49 48-48v-48h80c26.51 0 48-21.49 48-48V99.882a48 48 0 0 0-14.059-33.941zM266 464H54a6 6 0 0 1-6-6V150a6 6 0 0 1 6-6h74v224c0 26.51 21.49 48 48 48h96v42a6 6 0 0 1-6 6zm128-96H182a6 6 0 0 1-6-6V54a6 6 0 0 1 6-6h106v88c0 13.255 10.745 24 24 24h88v202a6 6 0 0 1-6 6zm6-256h-64V48h9.632c1.591 0 3.117.632 4.243 1.757l48.368 48.368a6 6 0 0 1 1.757 4.243V112z\"/\u003e\u003c/svg\u003e\u003c/span\u003e\n \u003cspan class=\"check-icon tw:hidden\"\u003e\u003csvg class=\"icon\"\n xmlns=\"http://www.w3.org/2000/svg\" viewBox=\"0 0 512 512\"\u003e\u003c!-- Font Awesome Free 5.15.4 by @fontawesome - https://fontawesome.com License - https://fontawesome.com/license/free (Icons: CC BY 4.0, Fonts: SIL OFL 1.1, Code: MIT License) --\u003e\u003cpath d=\"M173.898 439.404l-166.4-166.4c-9.997-9.997-9.997-26.206 0-36.204l36.203-36.204c9.997-9.998 26.207-9.998 36.204 0L192 312.69 432.095 72.596c9.997-9.997 26.207-9.997 36.204 0l36.203 36.204c9.997 9.997 9.997 26.206 0 36.204l-294.4 294.401c-9.998 9.997-26.207 9.997-36.204-.001z\"/\u003e\u003c/svg\u003e\u003c/span\u003e\n \u003c/button\u003e\n \n \u003cbutton \n class=\"\n tw:select-none \n tw:mx-2 \n tw:block \n tw:group-[.is-open]:hidden \n tw:print:hidden!\" \n disabled\n aria-hidden=\"true\"\u003e\u003csvg class=\"icon\"\n xmlns=\"http://www.w3.org/2000/svg\" viewBox=\"0 0 512 512\"\u003e\u003c!-- Font Awesome Free 5.15.4 by @fontawesome - https://fontawesome.com License - https://fontawesome.com/license/free (Icons: CC BY 4.0, Fonts: SIL OFL 1.1, Code: MIT License) --\u003e\u003cpath d=\"M328 256c0 39.8-32.2 72-72 72s-72-32.2-72-72 32.2-72 72-72 72 32.2 72 72zm104-72c-39.8 0-72 32.2-72 72s32.2 72 72 72 72-32.2 72-72-32.2-72-72-72zm-352 0c-39.8 0-72 32.2-72 72s32.2 72 72 72 72-32.2 72-72-32.2-72-72-72z\"/\u003e\u003c/svg\u003e\u003c/button\u003e\n \u003c/div\u003e\n \u003c/div\u003e\n \u003cpre style=\"counter-reset: codeblock;\" class=\"tw:block tw:m-0 tw:p-0\"\u003e\u003ccode \n id=\"codeblock-id-5\" \n class=\"\n chroma \n tw:block! \n tw:p-0\n tw:m-0\n tw:transition-[max-height] \n tw:duration-500 \n tw:ease-in-out \n tw:group-[.is-closed]:max-h-0! \n tw:group-[.is-wrap]:text-wrap\n tw:overflow-y-hidden\n tw:overflow-x-auto\n tw:scrollbar-thin\n \"\u003e\u003cspan class=\"line\"\u003e\u003cspan class=\"cl\"\u003e\u003cspan class=\"k\"\u003e\\draw\u003c/span\u003e\u003cspan class=\"na\"\u003e[very thick, orange!80!black]\u003c/span\u003e (-2,5) -- (4,1);\u003c/span\u003e\u003c/span\u003e\u003c/code\u003e\u003c/pre\u003e\n\u003c/div\u003e\n\u003cp\u003eHasilnya bisa langsung kita periksa dengan hitungan gradien:\u003c/p\u003e\n\u003cspan class=\"katex-display\"\u003e\u003cspan class=\"katex\"\u003e\u003cspan class=\"katex-mathml\"\u003e\u003cmath xmlns=\"http://www.w3.org/1998/Math/MathML\" display=\"block\"\u003e\u003csemantics\u003e\u003cmrow\u003e\u003cmi\u003em\u003c/mi\u003e\u003cmo\u003e=\u003c/mo\u003e\u003cmfrac\u003e\u003cmrow\u003e\u003cmn\u003e1\u003c/mn\u003e\u003cmo\u003e−\u003c/mo\u003e\u003cmn\u003e5\u003c/mn\u003e\u003c/mrow\u003e\u003cmrow\u003e\u003cmn\u003e4\u003c/mn\u003e\u003cmo\u003e−\u003c/mo\u003e\u003cmo stretchy=\"false\"\u003e(\u003c/mo\u003e\u003cmo\u003e−\u003c/mo\u003e\u003cmn\u003e2\u003c/mn\u003e\u003cmo stretchy=\"false\"\u003e)\u003c/mo\u003e\u003c/mrow\u003e\u003c/mfrac\u003e\u003cmo\u003e=\u003c/mo\u003e\u003cmfrac\u003e\u003cmrow\u003e\u003cmo\u003e−\u003c/mo\u003e\u003cmn\u003e4\u003c/mn\u003e\u003c/mrow\u003e\u003cmn\u003e6\u003c/mn\u003e\u003c/mfrac\u003e\u003cmo\u003e=\u003c/mo\u003e\u003cmo\u003e−\u003c/mo\u003e\u003cmfrac\u003e\u003cmn\u003e2\u003c/mn\u003e\u003cmn\u003e3\u003c/mn\u003e\u003c/mfrac\u003e\u003c/mrow\u003e\u003cannotation encoding=\"application/x-tex\"\u003e m = \\frac{1 - 5}{4 - (-2)} = \\frac{-4}{6} = -\\frac{2}{3} \u003c/annotation\u003e\u003c/semantics\u003e\u003c/math\u003e\u003c/span\u003e\u003cspan class=\"katex-html\" aria-hidden=\"true\"\u003e\u003cspan class=\"katex-base\"\u003e\u003cspan class=\"katex-strut\" style=\"height:0.4306em;\"\u003e\u003c/span\u003e\u003cspan class=\"mord mathnormal\"\u003em\u003c/span\u003e\u003cspan class=\"mspace\" style=\"margin-right:0.2778em;\"\u003e\u003c/span\u003e\u003cspan class=\"mrel\"\u003e=\u003c/span\u003e\u003cspan class=\"mspace\" style=\"margin-right:0.2778em;\"\u003e\u003c/span\u003e\u003c/span\u003e\u003cspan class=\"katex-base\"\u003e\u003cspan class=\"katex-strut\" style=\"height:2.2574em;vertical-align:-0.936em;\"\u003e\u003c/span\u003e\u003cspan class=\"mord\"\u003e\u003cspan class=\"mopen nulldelimiter\"\u003e\u003c/span\u003e\u003cspan class=\"mfrac\"\u003e\u003cspan class=\"vlist-t vlist-t2\"\u003e\u003cspan class=\"vlist-r\"\u003e\u003cspan class=\"vlist\" style=\"height:1.3214em;\"\u003e\u003cspan style=\"top:-2.314em;\"\u003e\u003cspan class=\"pstrut\" style=\"height:3em;\"\u003e\u003c/span\u003e\u003cspan class=\"mord\"\u003e\u003cspan class=\"mord\"\u003e4\u003c/span\u003e\u003cspan class=\"mspace\" style=\"margin-right:0.2222em;\"\u003e\u003c/span\u003e\u003cspan class=\"mbin\"\u003e−\u003c/span\u003e\u003cspan class=\"mspace\" style=\"margin-right:0.2222em;\"\u003e\u003c/span\u003e\u003cspan class=\"mopen\"\u003e(\u003c/span\u003e\u003cspan class=\"mord\"\u003e−\u003c/span\u003e\u003cspan class=\"mord\"\u003e2\u003c/span\u003e\u003cspan class=\"mclose\"\u003e)\u003c/span\u003e\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"top:-3.23em;\"\u003e\u003cspan class=\"pstrut\" style=\"height:3em;\"\u003e\u003c/span\u003e\u003cspan class=\"frac-line\" style=\"border-bottom-width:0.04em;\"\u003e\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"top:-3.677em;\"\u003e\u003cspan class=\"pstrut\" style=\"height:3em;\"\u003e\u003c/span\u003e\u003cspan class=\"mord\"\u003e\u003cspan class=\"mord\"\u003e1\u003c/span\u003e\u003cspan class=\"mspace\" style=\"margin-right:0.2222em;\"\u003e\u003c/span\u003e\u003cspan class=\"mbin\"\u003e−\u003c/span\u003e\u003cspan class=\"mspace\" style=\"margin-right:0.2222em;\"\u003e\u003c/span\u003e\u003cspan class=\"mord\"\u003e5\u003c/span\u003e\u003c/span\u003e\u003c/span\u003e\u003c/span\u003e\u003cspan class=\"vlist-s\"\u003e​\u003c/span\u003e\u003c/span\u003e\u003cspan class=\"vlist-r\"\u003e\u003cspan class=\"vlist\" style=\"height:0.936em;\"\u003e\u003cspan\u003e\u003c/span\u003e\u003c/span\u003e\u003c/span\u003e\u003c/span\u003e\u003c/span\u003e\u003cspan class=\"mclose nulldelimiter\"\u003e\u003c/span\u003e\u003c/span\u003e\u003cspan class=\"mspace\" style=\"margin-right:0.2778em;\"\u003e\u003c/span\u003e\u003cspan class=\"mrel\"\u003e=\u003c/span\u003e\u003cspan class=\"mspace\" style=\"margin-right:0.2778em;\"\u003e\u003c/span\u003e\u003c/span\u003e\u003cspan class=\"katex-base\"\u003e\u003cspan class=\"katex-strut\" style=\"height:2.0074em;vertical-align:-0.686em;\"\u003e\u003c/span\u003e\u003cspan class=\"mord\"\u003e\u003cspan class=\"mopen nulldelimiter\"\u003e\u003c/span\u003e\u003cspan class=\"mfrac\"\u003e\u003cspan class=\"vlist-t vlist-t2\"\u003e\u003cspan class=\"vlist-r\"\u003e\u003cspan class=\"vlist\" style=\"height:1.3214em;\"\u003e\u003cspan style=\"top:-2.314em;\"\u003e\u003cspan class=\"pstrut\" style=\"height:3em;\"\u003e\u003c/span\u003e\u003cspan class=\"mord\"\u003e\u003cspan class=\"mord\"\u003e6\u003c/span\u003e\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"top:-3.23em;\"\u003e\u003cspan class=\"pstrut\" style=\"height:3em;\"\u003e\u003c/span\u003e\u003cspan class=\"frac-line\" style=\"border-bottom-width:0.04em;\"\u003e\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"top:-3.677em;\"\u003e\u003cspan class=\"pstrut\" style=\"height:3em;\"\u003e\u003c/span\u003e\u003cspan class=\"mord\"\u003e\u003cspan class=\"mord\"\u003e−\u003c/span\u003e\u003cspan class=\"mord\"\u003e4\u003c/span\u003e\u003c/span\u003e\u003c/span\u003e\u003c/span\u003e\u003cspan class=\"vlist-s\"\u003e​\u003c/span\u003e\u003c/span\u003e\u003cspan class=\"vlist-r\"\u003e\u003cspan class=\"vlist\" style=\"height:0.686em;\"\u003e\u003cspan\u003e\u003c/span\u003e\u003c/span\u003e\u003c/span\u003e\u003c/span\u003e\u003c/span\u003e\u003cspan class=\"mclose nulldelimiter\"\u003e\u003c/span\u003e\u003c/span\u003e\u003cspan class=\"mspace\" style=\"margin-right:0.2778em;\"\u003e\u003c/span\u003e\u003cspan class=\"mrel\"\u003e=\u003c/span\u003e\u003cspan class=\"mspace\" style=\"margin-right:0.2778em;\"\u003e\u003c/span\u003e\u003c/span\u003e\u003cspan class=\"katex-base\"\u003e\u003cspan class=\"katex-strut\" style=\"height:2.0074em;vertical-align:-0.686em;\"\u003e\u003c/span\u003e\u003cspan class=\"mord\"\u003e−\u003c/span\u003e\u003cspan class=\"mord\"\u003e\u003cspan class=\"mopen nulldelimiter\"\u003e\u003c/span\u003e\u003cspan class=\"mfrac\"\u003e\u003cspan class=\"vlist-t vlist-t2\"\u003e\u003cspan class=\"vlist-r\"\u003e\u003cspan class=\"vlist\" style=\"height:1.3214em;\"\u003e\u003cspan style=\"top:-2.314em;\"\u003e\u003cspan class=\"pstrut\" style=\"height:3em;\"\u003e\u003c/span\u003e\u003cspan class=\"mord\"\u003e\u003cspan class=\"mord\"\u003e3\u003c/span\u003e\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"top:-3.23em;\"\u003e\u003cspan class=\"pstrut\" style=\"height:3em;\"\u003e\u003c/span\u003e\u003cspan class=\"frac-line\" style=\"border-bottom-width:0.04em;\"\u003e\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"top:-3.677em;\"\u003e\u003cspan class=\"pstrut\" style=\"height:3em;\"\u003e\u003c/span\u003e\u003cspan class=\"mord\"\u003e\u003cspan class=\"mord\"\u003e2\u003c/span\u003e\u003c/span\u003e\u003c/span\u003e\u003c/span\u003e\u003cspan class=\"vlist-s\"\u003e​\u003c/span\u003e\u003c/span\u003e\u003cspan class=\"vlist-r\"\u003e\u003cspan class=\"vlist\" style=\"height:0.686em;\"\u003e\u003cspan\u003e\u003c/span\u003e\u003c/span\u003e\u003c/span\u003e\u003c/span\u003e\u003c/span\u003e\u003cspan class=\"mclose nulldelimiter\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/span\u003e\u003c/span\u003e\u003c/span\u003e\u003c/span\u003e\u003cp\u003eGradien negatif terlihat masuk akal di gambar: garis turun dari kiri ke kanan. Pemeriksaan silang semacam ini — antara hitungan dan gambar — jauh lebih mudah dilakukan ketika gambar lahir dari angka, bukan dari perkiraan mata. Bila garis harus tampil penuh sampai pinggir kanvas, bungkus seluruh gambar dengan \u003ccode\u003e\\clip\u003c/code\u003e berbentuk persegi agar ujung garis terpotong rapi.\u003c/p\u003e\n\u003ch2 id=\"alternatif-lain-memakai-pgfplots\" class=\"headerLink\"\u003e\n \u003ca href=\"#alternatif-lain-memakai-pgfplots\" class=\"header-mark\"\u003e\u003c/a\u003e6 Alternatif lain: memakai pgfplots\u003c/h2\u003e\u003cp\u003eAda jalan kedua yang layak dicoba, yaitu paket \u003cstrong\u003epgfplots\u003c/strong\u003e (ditambahkan dengan \u003ccode\u003e\\usepackage{pgfplots}\u003c/code\u003e). Berbeda dengan cara manual di atas, di sini kita tidak menggambar sumbu dan petak sendiri — cukup deklarasikan rentang dan datanya, sisanya dikerjakan paket:\u003c/p\u003e\n\u003cdiv class=\"code-block highlight is-closed show-line-numbers tw:group tw:my-2\"\u003e\n \u003cdiv class=\"\n \n tw:flex \n tw:flex-row\n tw:flex-1 \n tw:justify-between \n tw:w-full tw:bg-bgColor-secondary\n \"\u003e \n \u003cbutton \n class=\"\n code-block-button\n tw:mx-2 \n tw:flex\n tw:flex-row\n tw:flex-1\"\n aria-hidden=\"true\"\u003e\n \u003cspan class=\"tw:group-[.is-open]:rotate-90 tw:transition-[transform] tw:duration-500 tw:ease-in-out tw:print:hidden! tw:w-min tw:h-min tw:my-1 tw:mx-1\"\u003e\u003csvg class=\"icon\"\n xmlns=\"http://www.w3.org/2000/svg\" viewBox=\"0 0 320 512\"\u003e\u003c!-- Font Awesome Free 5.15.4 by @fontawesome - https://fontawesome.com License - https://fontawesome.com/license/free (Icons: CC BY 4.0, Fonts: SIL OFL 1.1, Code: MIT License) --\u003e\u003cpath d=\"M285.476 272.971L91.132 467.314c-9.373 9.373-24.569 9.373-33.941 0l-22.667-22.667c-9.357-9.357-9.375-24.522-.04-33.901L188.505 256 34.484 101.255c-9.335-9.379-9.317-24.544.04-33.901l22.667-22.667c9.373-9.373 24.569-9.373 33.941 0L285.475 239.03c9.373 9.372 9.373 24.568.001 33.941z\"/\u003e\u003c/svg\u003e\u003c/span\u003e\n \u003cspan class=\"tw:select-none tw:my-1! tw:block\"\u003elatex\u003c/span\u003e\n \u003c/button\u003e\n\n \u003cdiv class=\"tw:flex\"\u003e\n \u003cbutton \n class=\"\n line-number-button\n tw:mx-2 \n tw:hidden \n tw:group-[.is-open]:block \n tw:group-[.show-line-numbers]:text-fgColor-link \n tw:print:hidden!\" \n title=\"Toggle line numbers\"\u003e\u003csvg class=\"icon\"\n xmlns=\"http://www.w3.org/2000/svg\" viewBox=\"0 0 512 512\"\u003e\u003c!-- Font Awesome Free 5.15.4 by @fontawesome - https://fontawesome.com License - https://fontawesome.com/license/free (Icons: CC BY 4.0, Fonts: SIL OFL 1.1, Code: MIT License) --\u003e\u003cpath d=\"M61.77 401l17.5-20.15a19.92 19.92 0 0 0 5.07-14.19v-3.31C84.34 356 80.5 352 73 352H16a8 8 0 0 0-8 8v16a8 8 0 0 0 8 8h22.83a157.41 157.41 0 0 0-11 12.31l-5.61 7c-4 5.07-5.25 10.13-2.8 14.88l1.05 1.93c3 5.76 6.29 7.88 12.25 7.88h4.73c10.33 0 15.94 2.44 15.94 9.09 0 4.72-4.2 8.22-14.36 8.22a41.54 41.54 0 0 1-15.47-3.12c-6.49-3.88-11.74-3.5-15.6 3.12l-5.59 9.31c-3.72 6.13-3.19 11.72 2.63 15.94 7.71 4.69 20.38 9.44 37 9.44 34.16 0 48.5-22.75 48.5-44.12-.03-14.38-9.12-29.76-28.73-34.88zM496 224H176a16 16 0 0 0-16 16v32a16 16 0 0 0 16 16h320a16 16 0 0 0 16-16v-32a16 16 0 0 0-16-16zm0-160H176a16 16 0 0 0-16 16v32a16 16 0 0 0 16 16h320a16 16 0 0 0 16-16V80a16 16 0 0 0-16-16zm0 320H176a16 16 0 0 0-16 16v32a16 16 0 0 0 16 16h320a16 16 0 0 0 16-16v-32a16 16 0 0 0-16-16zM16 160h64a8 8 0 0 0 8-8v-16a8 8 0 0 0-8-8H64V40a8 8 0 0 0-8-8H32a8 8 0 0 0-7.14 4.42l-8 16A8 8 0 0 0 24 64h8v64H16a8 8 0 0 0-8 8v16a8 8 0 0 0 8 8zm-3.91 160H80a8 8 0 0 0 8-8v-16a8 8 0 0 0-8-8H41.32c3.29-10.29 48.34-18.68 48.34-56.44 0-29.06-25-39.56-44.47-39.56-21.36 0-33.8 10-40.46 18.75-4.37 5.59-3 10.84 2.8 15.37l8.58 6.88c5.61 4.56 11 2.47 16.12-2.44a13.44 13.44 0 0 1 9.46-3.84c3.33 0 9.28 1.56 9.28 8.75C51 248.19 0 257.31 0 304.59v4C0 316 5.08 320 12.09 320z\"/\u003e\u003c/svg\u003e\u003c/button\u003e\n\n \u003cbutton \n class=\"\n wrap-code-button\n tw:select-none \n tw:mx-2 \n tw:hidden \n tw:group-[.is-open]:block \n tw:group-[.is-wrap]:text-fgColor-link \n tw:print:hidden!\" \n title=\"Toggle code wrap\"\u003e\u003csvg class=\"icon\"\n xmlns=\"http://www.w3.org/2000/svg\" viewBox=\"0 0 448 512\"\u003e\u003c!-- Font Awesome Free 5.15.4 by @fontawesome - https://fontawesome.com License - https://fontawesome.com/license/free (Icons: CC BY 4.0, Fonts: SIL OFL 1.1, Code: MIT License) --\u003e\u003cpath d=\"M16 132h416c8.837 0 16-7.163 16-16V76c0-8.837-7.163-16-16-16H16C7.163 60 0 67.163 0 76v40c0 8.837 7.163 16 16 16zm0 160h416c8.837 0 16-7.163 16-16v-40c0-8.837-7.163-16-16-16H16c-8.837 0-16 7.163-16 16v40c0 8.837 7.163 16 16 16zm0 160h416c8.837 0 16-7.163 16-16v-40c0-8.837-7.163-16-16-16H16c-8.837 0-16 7.163-16 16v40c0 8.837 7.163 16 16 16z\"/\u003e\u003c/svg\u003e\u003c/button\u003e\n \n \u003cbutton \n class=\"\n copy-code-button\n tw:select-none\n tw:mx-2 \n tw:hidden\n tw:group-[.is-open]:block\n tw:hover:text-fgColor-link \n tw:print:hidden!\"\n title=\"Copy code\"\u003e\n \u003cspan class=\"copy-icon tw:block\"\u003e\u003csvg class=\"icon\"\n xmlns=\"http://www.w3.org/2000/svg\" viewBox=\"0 0 448 512\"\u003e\u003c!-- Font Awesome Free 5.15.4 by @fontawesome - https://fontawesome.com License - https://fontawesome.com/license/free (Icons: CC BY 4.0, Fonts: SIL OFL 1.1, Code: MIT License) --\u003e\u003cpath d=\"M433.941 65.941l-51.882-51.882A48 48 0 0 0 348.118 0H176c-26.51 0-48 21.49-48 48v48H48c-26.51 0-48 21.49-48 48v320c0 26.51 21.49 48 48 48h224c26.51 0 48-21.49 48-48v-48h80c26.51 0 48-21.49 48-48V99.882a48 48 0 0 0-14.059-33.941zM266 464H54a6 6 0 0 1-6-6V150a6 6 0 0 1 6-6h74v224c0 26.51 21.49 48 48 48h96v42a6 6 0 0 1-6 6zm128-96H182a6 6 0 0 1-6-6V54a6 6 0 0 1 6-6h106v88c0 13.255 10.745 24 24 24h88v202a6 6 0 0 1-6 6zm6-256h-64V48h9.632c1.591 0 3.117.632 4.243 1.757l48.368 48.368a6 6 0 0 1 1.757 4.243V112z\"/\u003e\u003c/svg\u003e\u003c/span\u003e\n \u003cspan class=\"check-icon tw:hidden\"\u003e\u003csvg class=\"icon\"\n xmlns=\"http://www.w3.org/2000/svg\" viewBox=\"0 0 512 512\"\u003e\u003c!-- Font Awesome Free 5.15.4 by @fontawesome - https://fontawesome.com License - https://fontawesome.com/license/free (Icons: CC BY 4.0, Fonts: SIL OFL 1.1, Code: MIT License) --\u003e\u003cpath d=\"M173.898 439.404l-166.4-166.4c-9.997-9.997-9.997-26.206 0-36.204l36.203-36.204c9.997-9.998 26.207-9.998 36.204 0L192 312.69 432.095 72.596c9.997-9.997 26.207-9.997 36.204 0l36.203 36.204c9.997 9.997 9.997 26.206 0 36.204l-294.4 294.401c-9.998 9.997-26.207 9.997-36.204-.001z\"/\u003e\u003c/svg\u003e\u003c/span\u003e\n \u003c/button\u003e\n \n \u003cbutton \n class=\"\n tw:select-none \n tw:mx-2 \n tw:block \n tw:group-[.is-open]:hidden \n tw:print:hidden!\" \n disabled\n aria-hidden=\"true\"\u003e\u003csvg class=\"icon\"\n xmlns=\"http://www.w3.org/2000/svg\" viewBox=\"0 0 512 512\"\u003e\u003c!-- Font Awesome Free 5.15.4 by @fontawesome - https://fontawesome.com License - https://fontawesome.com/license/free (Icons: CC BY 4.0, Fonts: SIL OFL 1.1, Code: MIT License) --\u003e\u003cpath d=\"M328 256c0 39.8-32.2 72-72 72s-72-32.2-72-72 32.2-72 72-72 72 32.2 72 72zm104-72c-39.8 0-72 32.2-72 72s32.2 72 72 72 72-32.2 72-72-32.2-72-72-72zm-352 0c-39.8 0-72 32.2-72 72s32.2 72 72 72 72-32.2 72-72-32.2-72-72-72z\"/\u003e\u003c/svg\u003e\u003c/button\u003e\n \u003c/div\u003e\n \u003c/div\u003e\n \u003cpre style=\"counter-reset: codeblock;\" class=\"tw:block tw:m-0 tw:p-0\"\u003e\u003ccode \n id=\"codeblock-id-6\" \n class=\"\n chroma \n tw:block! \n tw:p-0\n tw:m-0\n tw:transition-[max-height] \n tw:duration-500 \n tw:ease-in-out \n tw:group-[.is-closed]:max-h-0! \n tw:group-[.is-wrap]:text-wrap\n tw:overflow-y-hidden\n tw:overflow-x-auto\n tw:scrollbar-thin\n \"\u003e\u003cspan class=\"line\"\u003e\u003cspan class=\"cl\"\u003e\u003cspan class=\"k\"\u003e\\begin\u003c/span\u003e\u003cspan class=\"nb\"\u003e{\u003c/span\u003etikzpicture\u003cspan class=\"nb\"\u003e}\u003c/span\u003e\n\u003c/span\u003e\u003c/span\u003e\u003cspan class=\"line\"\u003e\u003cspan class=\"cl\"\u003e \u003cspan class=\"k\"\u003e\\begin\u003c/span\u003e\u003cspan class=\"nb\"\u003e{\u003c/span\u003eaxis\u003cspan class=\"nb\"\u003e}\u003c/span\u003e[\n\u003c/span\u003e\u003c/span\u003e\u003cspan class=\"line\"\u003e\u003cspan class=\"cl\"\u003e axis lines = middle,\n\u003c/span\u003e\u003c/span\u003e\u003cspan class=\"line\"\u003e\u003cspan class=\"cl\"\u003e grid = both,\n\u003c/span\u003e\u003c/span\u003e\u003cspan class=\"line\"\u003e\u003cspan class=\"cl\"\u003e xmin = -6, xmax = 6,\n\u003c/span\u003e\u003c/span\u003e\u003cspan class=\"line\"\u003e\u003cspan class=\"cl\"\u003e ymin = -6, ymax = 6,\n\u003c/span\u003e\u003c/span\u003e\u003cspan class=\"line\"\u003e\u003cspan class=\"cl\"\u003e xlabel = \u003cspan class=\"s\"\u003e$\u003c/span\u003e\u003cspan class=\"nb\"\u003ex\u003c/span\u003e\u003cspan class=\"s\"\u003e$\u003c/span\u003e, ylabel = \u003cspan class=\"s\"\u003e$\u003c/span\u003e\u003cspan class=\"nb\"\u003ey\u003c/span\u003e\u003cspan class=\"s\"\u003e$\u003c/span\u003e,\n\u003c/span\u003e\u003c/span\u003e\u003cspan class=\"line\"\u003e\u003cspan class=\"cl\"\u003e width = 9cm, height = 9cm]\n\u003c/span\u003e\u003c/span\u003e\u003cspan class=\"line\"\u003e\u003cspan class=\"cl\"\u003e \u003cspan class=\"k\"\u003e\\addplot\u003c/span\u003e\u003cspan class=\"na\"\u003e[only marks, mark = *, red]\u003c/span\u003e\n\u003c/span\u003e\u003c/span\u003e\u003cspan class=\"line\"\u003e\u003cspan class=\"cl\"\u003e coordinates \u003cspan class=\"nb\"\u003e{\u003c/span\u003e(4,1) (-2,5)\u003cspan class=\"nb\"\u003e}\u003c/span\u003e;\n\u003c/span\u003e\u003c/span\u003e\u003cspan class=\"line\"\u003e\u003cspan class=\"cl\"\u003e \u003cspan class=\"k\"\u003e\\addplot\u003c/span\u003e\u003cspan class=\"na\"\u003e[very thick, blue]\u003c/span\u003e\n\u003c/span\u003e\u003c/span\u003e\u003cspan class=\"line\"\u003e\u003cspan class=\"cl\"\u003e coordinates \u003cspan class=\"nb\"\u003e{\u003c/span\u003e(-2,5) (4,1)\u003cspan class=\"nb\"\u003e}\u003c/span\u003e;\n\u003c/span\u003e\u003c/span\u003e\u003cspan class=\"line\"\u003e\u003cspan class=\"cl\"\u003e \u003cspan class=\"k\"\u003e\\end\u003c/span\u003e\u003cspan class=\"nb\"\u003e{\u003c/span\u003eaxis\u003cspan class=\"nb\"\u003e}\u003c/span\u003e\n\u003c/span\u003e\u003c/span\u003e\u003cspan class=\"line\"\u003e\u003cspan class=\"cl\"\u003e\u003cspan class=\"k\"\u003e\\end\u003c/span\u003e\u003cspan class=\"nb\"\u003e{\u003c/span\u003etikzpicture\u003cspan class=\"nb\"\u003e}\u003c/span\u003e\u003c/span\u003e\u003c/span\u003e\u003c/code\u003e\u003c/pre\u003e\n\u003c/div\u003e\n\u003cp\u003ePendekatan deklaratif ini terasa lebih ringkas untuk grafik fungsi, misalnya saat menggambar parabola atau garis dari persamaannya langsung. Kelemahannya, kendali halus seperti letak label titik tidak sebebas cara manual. Di bahan ajar saya keduanya hidup berdampingan: pgfplots untuk grafik fungsi, TikZ manual untuk soal membaca koordinat titik.\u003c/p\u003e\n\u003ch2 id=\"contoh-utuh-dari-gambar-menjadi-soal\" class=\"headerLink\"\u003e\n \u003ca href=\"#contoh-utuh-dari-gambar-menjadi-soal\" class=\"header-mark\"\u003e\u003c/a\u003e7 Contoh utuh: dari gambar menjadi soal\u003c/h2\u003e\u003cp\u003eSupaya tidak berhenti sebagai teori, berikut alur yang biasa saya jalani saat menyiapkan satu nomor soal. Anggap kita ingin menguji apakah siswa mampu membaca koordinat, menentukan gradien, lalu menyusun persamaan garisnya.\u003c/p\u003e\n\u003cp\u003ePertama, saya tetapkan dua titik yang perhitungannya bersih: $R(5,-1)$ dan $S(-3,3)$. Gradiennya $m = \\frac{-1-3}{5-(-3)} = -\\frac{1}{2}$, dan dengan mensubstitusi titik $S$ diperoleh persamaan $y = -\\frac{1}{2}x + \\frac{3}{2}$. Semua ini saya hitung \u003cem\u003esebelum\u003c/em\u003e menggambar apa pun — kertas coretan tetap raja untuk tahap berpikir.\u003c/p\u003e\n\u003cp\u003eKedua, gambarnya tinggal mengikuti angka yang sudah pasti itu:\u003c/p\u003e\n\u003cdiv class=\"code-block highlight is-open show-line-numbers tw:group tw:my-2\"\u003e\n \u003cdiv class=\"\n \n tw:flex \n tw:flex-row\n tw:flex-1 \n tw:justify-between \n tw:w-full tw:bg-bgColor-secondary\n \"\u003e \n \u003cbutton \n class=\"\n code-block-button\n tw:mx-2 \n tw:flex\n tw:flex-row\n tw:flex-1\"\n aria-hidden=\"true\"\u003e\n \u003cspan class=\"tw:group-[.is-open]:rotate-90 tw:transition-[transform] tw:duration-500 tw:ease-in-out tw:print:hidden! tw:w-min tw:h-min tw:my-1 tw:mx-1\"\u003e\u003csvg class=\"icon\"\n xmlns=\"http://www.w3.org/2000/svg\" viewBox=\"0 0 320 512\"\u003e\u003c!-- Font Awesome Free 5.15.4 by @fontawesome - https://fontawesome.com License - https://fontawesome.com/license/free (Icons: CC BY 4.0, Fonts: SIL OFL 1.1, Code: MIT License) --\u003e\u003cpath d=\"M285.476 272.971L91.132 467.314c-9.373 9.373-24.569 9.373-33.941 0l-22.667-22.667c-9.357-9.357-9.375-24.522-.04-33.901L188.505 256 34.484 101.255c-9.335-9.379-9.317-24.544.04-33.901l22.667-22.667c9.373-9.373 24.569-9.373 33.941 0L285.475 239.03c9.373 9.372 9.373 24.568.001 33.941z\"/\u003e\u003c/svg\u003e\u003c/span\u003e\n \u003cspan class=\"tw:select-none tw:my-1! tw:block\"\u003elatex\u003c/span\u003e\n \u003c/button\u003e\n\n \u003cdiv class=\"tw:flex\"\u003e\n \u003cbutton \n class=\"\n line-number-button\n tw:mx-2 \n tw:hidden \n tw:group-[.is-open]:block \n tw:group-[.show-line-numbers]:text-fgColor-link \n tw:print:hidden!\" \n title=\"Toggle line numbers\"\u003e\u003csvg class=\"icon\"\n xmlns=\"http://www.w3.org/2000/svg\" viewBox=\"0 0 512 512\"\u003e\u003c!-- Font Awesome Free 5.15.4 by @fontawesome - https://fontawesome.com License - https://fontawesome.com/license/free (Icons: CC BY 4.0, Fonts: SIL OFL 1.1, Code: MIT License) --\u003e\u003cpath d=\"M61.77 401l17.5-20.15a19.92 19.92 0 0 0 5.07-14.19v-3.31C84.34 356 80.5 352 73 352H16a8 8 0 0 0-8 8v16a8 8 0 0 0 8 8h22.83a157.41 157.41 0 0 0-11 12.31l-5.61 7c-4 5.07-5.25 10.13-2.8 14.88l1.05 1.93c3 5.76 6.29 7.88 12.25 7.88h4.73c10.33 0 15.94 2.44 15.94 9.09 0 4.72-4.2 8.22-14.36 8.22a41.54 41.54 0 0 1-15.47-3.12c-6.49-3.88-11.74-3.5-15.6 3.12l-5.59 9.31c-3.72 6.13-3.19 11.72 2.63 15.94 7.71 4.69 20.38 9.44 37 9.44 34.16 0 48.5-22.75 48.5-44.12-.03-14.38-9.12-29.76-28.73-34.88zM496 224H176a16 16 0 0 0-16 16v32a16 16 0 0 0 16 16h320a16 16 0 0 0 16-16v-32a16 16 0 0 0-16-16zm0-160H176a16 16 0 0 0-16 16v32a16 16 0 0 0 16 16h320a16 16 0 0 0 16-16V80a16 16 0 0 0-16-16zm0 320H176a16 16 0 0 0-16 16v32a16 16 0 0 0 16 16h320a16 16 0 0 0 16-16v-32a16 16 0 0 0-16-16zM16 160h64a8 8 0 0 0 8-8v-16a8 8 0 0 0-8-8H64V40a8 8 0 0 0-8-8H32a8 8 0 0 0-7.14 4.42l-8 16A8 8 0 0 0 24 64h8v64H16a8 8 0 0 0-8 8v16a8 8 0 0 0 8 8zm-3.91 160H80a8 8 0 0 0 8-8v-16a8 8 0 0 0-8-8H41.32c3.29-10.29 48.34-18.68 48.34-56.44 0-29.06-25-39.56-44.47-39.56-21.36 0-33.8 10-40.46 18.75-4.37 5.59-3 10.84 2.8 15.37l8.58 6.88c5.61 4.56 11 2.47 16.12-2.44a13.44 13.44 0 0 1 9.46-3.84c3.33 0 9.28 1.56 9.28 8.75C51 248.19 0 257.31 0 304.59v4C0 316 5.08 320 12.09 320z\"/\u003e\u003c/svg\u003e\u003c/button\u003e\n\n \u003cbutton \n class=\"\n wrap-code-button\n tw:select-none \n tw:mx-2 \n tw:hidden \n tw:group-[.is-open]:block \n tw:group-[.is-wrap]:text-fgColor-link \n tw:print:hidden!\" \n title=\"Toggle code wrap\"\u003e\u003csvg class=\"icon\"\n xmlns=\"http://www.w3.org/2000/svg\" viewBox=\"0 0 448 512\"\u003e\u003c!-- Font Awesome Free 5.15.4 by @fontawesome - https://fontawesome.com License - https://fontawesome.com/license/free (Icons: CC BY 4.0, Fonts: SIL OFL 1.1, Code: MIT License) --\u003e\u003cpath d=\"M16 132h416c8.837 0 16-7.163 16-16V76c0-8.837-7.163-16-16-16H16C7.163 60 0 67.163 0 76v40c0 8.837 7.163 16 16 16zm0 160h416c8.837 0 16-7.163 16-16v-40c0-8.837-7.163-16-16-16H16c-8.837 0-16 7.163-16 16v40c0 8.837 7.163 16 16 16zm0 160h416c8.837 0 16-7.163 16-16v-40c0-8.837-7.163-16-16-16H16c-8.837 0-16 7.163-16 16v40c0 8.837 7.163 16 16 16z\"/\u003e\u003c/svg\u003e\u003c/button\u003e\n \n \u003cbutton \n class=\"\n copy-code-button\n tw:select-none\n tw:mx-2 \n tw:hidden\n tw:group-[.is-open]:block\n tw:hover:text-fgColor-link \n tw:print:hidden!\"\n title=\"Copy code\"\u003e\n \u003cspan class=\"copy-icon tw:block\"\u003e\u003csvg class=\"icon\"\n xmlns=\"http://www.w3.org/2000/svg\" viewBox=\"0 0 448 512\"\u003e\u003c!-- Font Awesome Free 5.15.4 by @fontawesome - https://fontawesome.com License - https://fontawesome.com/license/free (Icons: CC BY 4.0, Fonts: SIL OFL 1.1, Code: MIT License) --\u003e\u003cpath d=\"M433.941 65.941l-51.882-51.882A48 48 0 0 0 348.118 0H176c-26.51 0-48 21.49-48 48v48H48c-26.51 0-48 21.49-48 48v320c0 26.51 21.49 48 48 48h224c26.51 0 48-21.49 48-48v-48h80c26.51 0 48-21.49 48-48V99.882a48 48 0 0 0-14.059-33.941zM266 464H54a6 6 0 0 1-6-6V150a6 6 0 0 1 6-6h74v224c0 26.51 21.49 48 48 48h96v42a6 6 0 0 1-6 6zm128-96H182a6 6 0 0 1-6-6V54a6 6 0 0 1 6-6h106v88c0 13.255 10.745 24 24 24h88v202a6 6 0 0 1-6 6zm6-256h-64V48h9.632c1.591 0 3.117.632 4.243 1.757l48.368 48.368a6 6 0 0 1 1.757 4.243V112z\"/\u003e\u003c/svg\u003e\u003c/span\u003e\n \u003cspan class=\"check-icon tw:hidden\"\u003e\u003csvg class=\"icon\"\n xmlns=\"http://www.w3.org/2000/svg\" viewBox=\"0 0 512 512\"\u003e\u003c!-- Font Awesome Free 5.15.4 by @fontawesome - https://fontawesome.com License - https://fontawesome.com/license/free (Icons: CC BY 4.0, Fonts: SIL OFL 1.1, Code: MIT License) --\u003e\u003cpath d=\"M173.898 439.404l-166.4-166.4c-9.997-9.997-9.997-26.206 0-36.204l36.203-36.204c9.997-9.998 26.207-9.998 36.204 0L192 312.69 432.095 72.596c9.997-9.997 26.207-9.997 36.204 0l36.203 36.204c9.997 9.997 9.997 26.206 0 36.204l-294.4 294.401c-9.998 9.997-26.207 9.997-36.204-.001z\"/\u003e\u003c/svg\u003e\u003c/span\u003e\n \u003c/button\u003e\n \n \u003cbutton \n class=\"\n tw:select-none \n tw:mx-2 \n tw:block \n tw:group-[.is-open]:hidden \n tw:print:hidden!\" \n disabled\n aria-hidden=\"true\"\u003e\u003csvg class=\"icon\"\n xmlns=\"http://www.w3.org/2000/svg\" viewBox=\"0 0 512 512\"\u003e\u003c!-- Font Awesome Free 5.15.4 by @fontawesome - https://fontawesome.com License - https://fontawesome.com/license/free (Icons: CC BY 4.0, Fonts: SIL OFL 1.1, Code: MIT License) --\u003e\u003cpath d=\"M328 256c0 39.8-32.2 72-72 72s-72-32.2-72-72 32.2-72 72-72 72 32.2 72 72zm104-72c-39.8 0-72 32.2-72 72s32.2 72 72 72 72-32.2 72-72-32.2-72-72-72zm-352 0c-39.8 0-72 32.2-72 72s32.2 72 72 72 72-32.2 72-72-32.2-72-72-72z\"/\u003e\u003c/svg\u003e\u003c/button\u003e\n \u003c/div\u003e\n \u003c/div\u003e\n \u003cpre style=\"counter-reset: codeblock;\" class=\"tw:block tw:m-0 tw:p-0\"\u003e\u003ccode \n id=\"codeblock-id-7\" \n class=\"\n chroma \n tw:block! \n tw:p-0\n tw:m-0\n tw:transition-[max-height] \n tw:duration-500 \n tw:ease-in-out \n tw:group-[.is-closed]:max-h-0! \n tw:group-[.is-wrap]:text-wrap\n tw:overflow-y-hidden\n tw:overflow-x-auto\n tw:scrollbar-thin\n \"\u003e\u003cspan class=\"line\"\u003e\u003cspan class=\"cl\"\u003e\u003cspan class=\"k\"\u003e\\fill\u003c/span\u003e\u003cspan class=\"na\"\u003e[black]\u003c/span\u003e (5,-1) circle (3pt) node[below right] \u003cspan class=\"nb\"\u003e{\u003c/span\u003e\u003cspan class=\"s\"\u003e$\u003c/span\u003e\u003cspan class=\"nb\"\u003eR\u003c/span\u003e\u003cspan class=\"s\"\u003e$\u003c/span\u003e\u003cspan class=\"nb\"\u003e}\u003c/span\u003e;\n\u003c/span\u003e\u003c/span\u003e\u003cspan class=\"line\"\u003e\u003cspan class=\"cl\"\u003e\u003cspan class=\"k\"\u003e\\fill\u003c/span\u003e\u003cspan class=\"na\"\u003e[black]\u003c/span\u003e (-3,3) circle (3pt) node[above left] \u003cspan class=\"nb\"\u003e{\u003c/span\u003e\u003cspan class=\"s\"\u003e$\u003c/span\u003e\u003cspan class=\"nb\"\u003eS\u003c/span\u003e\u003cspan class=\"s\"\u003e$\u003c/span\u003e\u003cspan class=\"nb\"\u003e}\u003c/span\u003e;\n\u003c/span\u003e\u003c/span\u003e\u003cspan class=\"line\"\u003e\u003cspan class=\"cl\"\u003e\u003cspan class=\"k\"\u003e\\draw\u003c/span\u003e\u003cspan class=\"na\"\u003e[very thick]\u003c/span\u003e (-3,3) -- (5,-1);\u003c/span\u003e\u003c/span\u003e\u003c/code\u003e\u003c/pre\u003e\n\u003c/div\u003e\n\u003cp\u003eKetiga, barulah kalimat soalnya ditulis mengelilingi gambar: (a) tuliskan koordinat titik $R$ dan $S$, (b) hitunglah gradien garis yang melalui keduanya, (c) tentukan persamaan garis tersebut. Urutan terbalik seperti ini — jawaban dulu, gambar menyusul, pertanyaan terakhir — menghilangkan kebiasaan lama memperbaiki kunci jawaban gara-gara gambar yang terlanjur digeser. Pengalaman saya, satu nomor soal koordinat selesai dalam waktu kurang dari sepuluh menit dengan cara ini, dan gambarnya siap dipakai kembali tahun ajaran berikutnya.\u003c/p\u003e\n\u003ch2 id=\"kebiasaan-yang-membuat-pekerjaan-berikutnya-ringan\" class=\"headerLink\"\u003e\n \u003ca href=\"#kebiasaan-yang-membuat-pekerjaan-berikutnya-ringan\" class=\"header-mark\"\u003e\u003c/a\u003e8 Kebiasaan yang membuat pekerjaan berikutnya ringan\u003c/h2\u003e\u003cp\u003eSetelah beberapa kali menyusun soal, saya menyimpan satu berkas templat berisi kanvas kosong versi di atas. Tiga kebiasaan ini yang paling terasa manfaatnya:\u003c/p\u003e\n\u003col\u003e\n\u003cli\u003e\u003cstrong\u003ePisahkan templat dari isi.\u003c/strong\u003e Kanvas, sumbu, dan angka tidak pernah berubah; yang berganti hanya titik dan garisnya.\u003c/li\u003e\n\u003cli\u003e\u003cstrong\u003eSediakan versi hitam-putih.\u003c/strong\u003e Warna membantu di layar proyektor, tetapi lembar soal umumnya difotokopi — pastikan titik tetap bisa dibedakan tanpa warna, misalnya dengan bentuk penanda berbeda.\u003c/li\u003e\n\u003cli\u003e\u003cstrong\u003eNamai berkas gambar menurut soalnya.\u003c/strong\u003e Nama seperti \u003ccode\u003ekoordinat-nomor03.tex\u003c/code\u003e jauh lebih mudah ditemukan semester depan daripada \u003ccode\u003egambar-baru-final2.tex\u003c/code\u003e.\u003c/li\u003e\n\u003c/ol\u003e\n\u003ch2 id=\"reaksi-siswa-saat-pertama-melihatnya\" class=\"headerLink\"\u003e\n \u003ca href=\"#reaksi-siswa-saat-pertama-melihatnya\" class=\"header-mark\"\u003e\u003c/a\u003e9 Reaksi siswa saat pertama melihatnya\u003c/h2\u003e\u003cp\u003eAda kejadian kecil yang membuat saya mantap memakai cara ini. Suatu pagi di kelas VIII, lembar latihan dibagikan dan seorang murid mengangkat tangan hanya untuk bertanya, \u0026ldquo;Pak, gambarnya kok rapi sekali, seperti dari buku?\u0026rdquo; Selama ini mereka menerima gambar hasil gambar tangan saya di kertas buram — kadang sumbunya miring, kadang angka nolnya bertumpuk dengan angka pada sumbu tegak.\u003c/p\u003e\n\u003cp\u003eSejak gambar dibuat dengan kode, keluhan semacam itu hilang. Murid yang duduk di bangku paling belakang pun masih bisa membaca koordinat dengan jelas, dan ketika ada yang protes karena merasa titiknya seharusnya bergeser satu petak, kami bisa memeriksa bersama-sama: yang dibaca murid itu salah, atau gambar sayalah yang keliru. Hampir selalu gambar yang menang, karena ia lahir dari angka yang sudah dipikirkan matang-matang malam sebelumnya di rumah.\u003c/p\u003e\n\u003ch2 id=\"penutup\" class=\"headerLink\"\u003e\n \u003ca href=\"#penutup\" class=\"header-mark\"\u003e\u003c/a\u003e10 Penutup\u003c/h2\u003e\u003cp\u003eBuat saya, keuntungan terbesar TikZ bukan gambarnya yang rapi, melainkan keyakinan bahwa gambar dan kunci jawaban tidak akan pernah bertengkar. Sekali templatnya jadi, menyusun soal koordinat berikutnya tinggal mengganti beberapa angka — dan waktu yang tadinya habis untuk menggeser-geser titik bisa dipakai memikirkan soalnya itu sendiri.\u003c/p\u003e\n\u003cp\u003eTemplat dalam artikel ini sudah saya bagikan ke grup MGMP matematika kami, dan beberapa rekan mulai mencobanya untuk ulangan harian di sekolah masing-masing. Kalau Bapak/Ibu guru juga mencobanya dan menemukan cara yang lebih ringkas, saya senang sekali mendengar ceritanya — ilmu memang seharusnya berputar seperti itu, dari satu kelas ke kelas berikutnya.\u003c/p\u003e", "language": "id" }, { "title" : "Selamat Datang di Blog Gunanto", "date_published" : "2026-10-21T07:00:00+07:00", "date_modified" : "2026-10-21T07:00:00+07:00", "id" : "https://pakgun.gezytech.web.id/selamat-datang/", "url" : "https://pakgun.gezytech.web.id/selamat-datang/", "summary": "Blog ini resmi dibuka. Setelah bertahun-tahun menulis di berbagai tempat — dokumen pelatihan, grup MGMP, dan portal aplikasi — akhirnya saya punya satu rumah untuk semua catatan itu.\n", "content_html" : "\u003cp\u003eBlog ini resmi dibuka. Setelah bertahun-tahun menulis di berbagai tempat — dokumen pelatihan, grup MGMP, dan portal aplikasi — akhirnya saya punya satu rumah untuk semua catatan itu.\u003c/p\u003e\n\u003ch2 id=\"apa-yang-akan-bapakibu-temukan-di-sini\" class=\"headerLink\"\u003e\n \u003ca href=\"#apa-yang-akan-bapakibu-temukan-di-sini\" class=\"header-mark\"\u003e\u003c/a\u003e1 Apa yang akan Bapak/Ibu temukan di sini?\u003c/h2\u003e\u003col\u003e\n\u003cli\u003e\u003cstrong\u003eCatatan pembelajaran\u003c/strong\u003e — pengalaman nyata dari kelas matematika di SMPN 1 Punggur: apa yang berhasil, apa yang gagal, dan apa pelajarannya.\u003c/li\u003e\n\u003cli\u003e\u003cstrong\u003eTutorial LaTeX dan TikZ\u003c/strong\u003e — dari membuat lembar soal yang rapi sampai menggambar bidang koordinat dan bangun geometri yang presisi.\u003c/li\u003e\n\u003cli\u003e\u003cstrong\u003eTeknologi pendidikan\u003c/strong\u003e — cerita di balik aplikasi-aplikasi \u003ca href=\"https://gezytech.web.id/\" target=\"_blank\" rel=\"noopener noreferrer\"\u003eGezyTech\u003c/a\u003e: bagaimana ia dibangun, untuk masalah apa, dan bagaimana guru lain bisa membuat hal serupa.\u003c/li\u003e\n\u003c/ol\u003e\n\u003ch2 id=\"cara-membaca-blog-ini\" class=\"headerLink\"\u003e\n \u003ca href=\"#cara-membaca-blog-ini\" class=\"header-mark\"\u003e\u003c/a\u003e2 Cara membaca blog ini\u003c/h2\u003e\u003cul\u003e\n\u003cli\u003eGunakan menu \u003cstrong\u003ePos\u003c/strong\u003e untuk melihat semua tulisan, atau \u003cstrong\u003eKategori\u003c/strong\u003e dan \u003cstrong\u003eTag\u003c/strong\u003e untuk menyaring topik.\u003c/li\u003e\n\u003cli\u003eKolom \u003cstrong\u003epencarian\u003c/strong\u003e di pojok kanan atas bisa dipakai mencari judul atau isi tulisan.\u003c/li\u003e\n\u003cli\u003eTombol bulan/matahari di header mengganti tema terang dan gelap — silakan pilih yang nyaman di mata.\u003c/li\u003e\n\u003c/ul\u003e\n\u003cp\u003eSelamat membaca. Semoga ada yang bermanfaat, dan silakan dibagikan untuk kebaikan bersama.\u003c/p\u003e", "language": "id" } ] }