{"id":228,"date":"2023-07-10T22:13:46","date_gmt":"2023-07-10T22:13:46","guid":{"rendered":"https:\/\/mathority.org\/ja\/2-%e3%81%a4%e3%81%ae%e7%b7%9a%e3%81%ae%e9%96%93%e3%81%ae%e8%a7%92%e5%ba%a6-%e6%95%b0%e5%bc%8f%e3%81%ae%e4%be%8b-%e8%a7%a3%e6%b1%ba%e6%b8%88%e3%81%bf%e6%bc%94%e7%bf%92-%e5%82%be%e6%96%9c%e8%a7%92\/"},"modified":"2023-07-10T22:13:46","modified_gmt":"2023-07-10T22:13:46","slug":"2-%e3%81%a4%e3%81%ae%e7%b7%9a%e3%81%ae%e9%96%93%e3%81%ae%e8%a7%92%e5%ba%a6-%e6%95%b0%e5%bc%8f%e3%81%ae%e4%be%8b-%e8%a7%a3%e6%b1%ba%e6%b8%88%e3%81%bf%e6%bc%94%e7%bf%92-%e5%82%be%e6%96%9c%e8%a7%92","status":"publish","type":"post","link":"https:\/\/mathority.org\/ja\/2-%e3%81%a4%e3%81%ae%e7%b7%9a%e3%81%ae%e9%96%93%e3%81%ae%e8%a7%92%e5%ba%a6-%e6%95%b0%e5%bc%8f%e3%81%ae%e4%be%8b-%e8%a7%a3%e6%b1%ba%e6%b8%88%e3%81%bf%e6%bc%94%e7%bf%92-%e5%82%be%e6%96%9c%e8%a7%92\/","title":{"rendered":"2\u672c\u306e\u76f4\u7dda\u9593\u306e\u89d2\u5ea6\uff08\u516c\u5f0f\uff09"},"content":{"rendered":"<p>\u3053\u306e\u30da\u30fc\u30b8\u3067\u306f2\u672c\u306e\u7dda\u306e\u9593\u306e\u89d2\u5ea6\u306e\u8a08\u7b97\u65b9\u6cd5\uff08\u516c\u5f0f\uff09\u3092\u89e3\u8aac\u3057\u307e\u3059\u3002\u307e\u305f\u3001\u3044\u304f\u3064\u304b\u306e\u4f8b\u3092\u898b\u308b\u3053\u3068\u304c\u3067\u304d\u3001\u3055\u3089\u306b\u3001\u6bb5\u968e\u7684\u306b\u89e3\u6c7a\u3055\u308c\u305f\u6f14\u7fd2\u3067\u7df4\u7fd2\u3059\u308b\u3053\u3068\u3082\u3067\u304d\u307e\u3059\u3002 <\/p>\n<div class=\"adsb30\" style=\" margin:12px; text-align:center\">\n<div id=\"ezoic-pub-ad-placeholder-104\"><\/div>\n<\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfque-es-el-angulo-entre-dos-rectas\"><\/span> 2\u672c\u306e\u7dda\u306e\u9593\u306e\u89d2\u5ea6\u306f\u3044\u304f\u3089\u3067\u3059\u304b? <span class=\"ez-toc-section-end\"><\/span><\/h2>\n<div class=\"adsb30\" style=\" margin:12px; text-align:center\">\n<div id=\"ezoic-pub-ad-placeholder-105\"><\/div>\n<\/div>\n<p> <strong>2 \u672c\u306e\u7dda\u306e\u9593\u306e\u89d2\u5ea6\u306f\u3001\u3053\u308c\u3089 2 \u672c\u306e\u7dda\u306e\u9593\u306e\u6700\u5c0f\u89d2\u5ea6\u3067\u3059\u3002<\/strong> <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/angle-entre-deux-lignes-1.webp\" alt=\"2\u672c\u306e\u7dda\u306e\u9593\u306e\u89d2\u5ea6\" class=\"wp-image-1637\" width=\"225\" height=\"206\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p>\u5e73\u9762\u56f3\u3067\u306f\u3001\u7dda\u3068\u7dda\u3068\u306e\u306a\u3059\u89d2\u5ea6\u306b\u5fdc\u3058\u3066\u3001\u4ea4\u5dee\u7dda\uff080\u00b0\uff5e90\u00b0\uff09\u3001\u5782\u76f4\u7dda\uff0890\u00b0\uff09\u3001\u5e73\u884c\u7dda\uff080\u00b0\uff09\u3001\u4e00\u81f4\u7dda\uff080\u00b0\uff09\u306e4\u7a2e\u985e\u304c\u3042\u308a\u307e\u3059\u3002 <\/p>\n<div class=\"wp-block-columns is-layout-flex wp-container-143\">\n<div class=\"wp-block-column is-layout-flow\">\n<p class=\"has-text-align-center has-text-color has-medium-font-size\" style=\"color:#ff6f00\"><strong>\u4ea4\u5dee\u3059\u308b\u7dda<\/strong><\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/angles-droits-secants.webp\" alt=\"\u4ea4\u5dee\u3059\u308b 2 \u3064\u306e\u7dda\u306e\u9593\u306e\u89d2\u5ea6\" class=\"wp-image-1644\" width=\"205\" height=\"192\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p>\u4ea4\u5dee\u7dda\u306f 0 \u5ea6\u304b\u3089 90 \u5ea6\u307e\u3067\u306e\u92ed\u89d2\u3067\u4ea4\u5dee\u3057\u307e\u3059\u3002 <\/p>\n<\/div>\n<div class=\"wp-block-column is-layout-flow\">\n<p class=\"has-text-align-center has-text-color has-medium-font-size\" style=\"color:#ff6f00\"><strong><strong>\u5782\u76f4\u76f4\u7dda<\/strong><\/strong><\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/lignes-perpendiculaires-a-90-degres.webp\" alt=\"2\u672c\u306e\u5782\u76f4\u7dda\u306e\u9593\u306e\u89d2\u5ea6\" class=\"wp-image-1884\" width=\"181\" height=\"207\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p>\u5782\u7dda\u306f90\u5ea6\u306e\u76f4\u89d2\u3067\u4ea4\u308f\u308a\u307e\u3059\u3002 <\/p>\n<\/div>\n<\/div>\n<div class=\"adsb30\" style=\" margin:12px; text-align:center\">\n<div id=\"ezoic-pub-ad-placeholder-105\"><\/div>\n<\/div>\n<div class=\"wp-block-columns is-layout-flex wp-container-146\">\n<div class=\"wp-block-column is-layout-flow\">\n<p class=\"has-text-align-center has-text-color has-medium-font-size\" style=\"color:#ff6f00\"><strong>\u5e73\u884c\u7dda<\/strong><\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/droites-paralleles-a-langle.webp\" alt=\"\" class=\"wp-image-1643\" width=\"217\" height=\"195\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p>\u5e73\u884c\u7dda\u306f\u6c7a\u3057\u3066\u63a5\u89e6\u305b\u305a\u3001\u305d\u306e\u9593\u306e\u89d2\u5ea6\u306f 0 \u5ea6\u306b\u306a\u308a\u307e\u3059\u3002 <\/p>\n<\/div>\n<div class=\"wp-block-column is-layout-flow\">\n<p class=\"has-text-align-center has-text-color has-medium-font-size\" style=\"color:#ff6f00\"><strong>\u4e00\u81f4\u3059\u308b\u7dda<\/strong><\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/angle-coincident-lignes.webp\" alt=\"\" class=\"wp-image-1646\" width=\"189\" height=\"168\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p>\u4e00\u81f4\u3059\u308b 2 \u3064\u306e\u76f4\u7dda\u306b\u306f\u3059\u3079\u3066\u306e\u70b9\u304c\u5171\u901a\u3057\u3066\u3044\u308b\u305f\u3081\u3001\u305d\u308c\u3089\u306e\u9593\u306b\u306f\u5e38\u306b 0 \u5ea6\u306e\u89d2\u5ea6\u304c\u5b58\u5728\u3057\u307e\u3059\u3002<\/p>\n<\/div>\n<\/div>\n<p>\u7d50\u8ad6\u3068\u3057\u3066\u30012 \u672c\u306e\u5e73\u884c\u7dda\u3001\u4e00\u81f4\u7dda\u3001\u307e\u305f\u306f\u5782\u76f4\u7dda\u9593\u306e\u89d2\u5ea6\u306e\u8a08\u7b97\u306f\u3059\u3050\u306b\u884c\u308f\u308c\u307e\u3059\u3002\u5e73\u884c\u7dda\u3068\u4e00\u81f4\u7dda\u306f\u540c\u3058\u65b9\u5411\u3092\u6301\u3063\u3066\u3044\u308b\u305f\u3081\u3001\u89d2\u5ea6 0 \u5ea6\u3092\u5f62\u6210\u3057\u3001\u5782\u76f4\u7dda\u306f 90 \u5ea6\u306e\u89d2\u5ea6\u3067\u4ea4\u5dee\u3057\u307e\u3059\u3002 \u3002\u4e00\u65b9\u3001\u4ea4\u5dee\u3059\u308b 2 \u3064\u306e\u7dda\u306e\u9593\u306e\u89d2\u5ea6\u3092\u6c42\u3081\u308b\u306b\u306f\u3001\u516c\u5f0f\u3092\u9069\u7528\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059 (\u3053\u308c\u306b\u3064\u3044\u3066\u306f\u4ee5\u4e0b\u3067\u8aac\u660e\u3057\u307e\u3059)\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfcomo-se-calcula-el-angulo-entre-dos-rectas\"><\/span> 2 \u672c\u306e\u7dda\u306e\u9593\u306e\u89d2\u5ea6\u306f\u3069\u306e\u3088\u3046\u306b\u8a08\u7b97\u3055\u308c\u307e\u3059\u304b? <span class=\"ez-toc-section-end\"><\/span><\/h2>\n<div class=\"adsb30\" style=\" margin:12px; text-align:center\">\n<div id=\"ezoic-pub-ad-placeholder-106\"><\/div>\n<\/div>\n<p> 2 \u672c\u306e\u7dda\u306e\u9593\u306e\u89d2\u5ea6\u3092\u8a08\u7b97\u3059\u308b\u306b\u306f 2 \u3064\u306e\u65b9\u6cd5\u304c\u3042\u308a\u307e\u3059\u3002\u6700\u521d\u306e\u65b9\u6cd5\u306f\u5404\u30e9\u30a4\u30f3\u306e<strong>\u65b9\u5411\u30d9\u30af\u30c8\u30eb<\/strong>\u3092\u4f7f\u7528\u3057\u30012 \u756a\u76ee\u306e\u65b9\u6cd5\u306f\u5404\u30e9\u30a4\u30f3\u306e<strong>\u50be\u304d<\/strong>\u306b\u57fa\u3065\u304d\u307e\u3059\u3002<\/p>\n<p>\u3069\u3061\u3089\u306e\u624b\u9806\u304c\u512a\u308c\u3066\u3044\u308b\u3068\u3044\u3046\u308f\u3051\u3067\u306f\u306a\u304f\u3001\u5b9f\u969b\u306b\u306f\u3069\u3061\u3089\u3082\u975e\u5e38\u306b\u7c21\u5358\u3067\u3059\u304c\u3001\u7dda\u306e\u8868\u73fe\u65b9\u6cd5\u306b\u5fdc\u3058\u3066\u3069\u3061\u3089\u304b\u306e\u65b9\u6cd5\u304c\u5b9f\u7528\u7684\u306b\u306a\u308a\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u4e21\u65b9\u306e\u6570\u5b66\u7684\u624b\u6cd5\u306e\u4f7f\u7528\u65b9\u6cd5\u3092\u7406\u89e3\u3057\u3066\u304a\u304f\u3053\u3068\u3092\u304a\u52e7\u3081\u3057\u307e\u3059\u3002 <\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"metodo-de-los-vectores-directores-de-las-rectas\"><\/span>\u7dda\u30d9\u30af\u30c8\u30eb\u914d\u5411\u6cd5<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\u65b9\u5411\u30d9\u30af\u30c8\u30eb\u3092\u4f7f\u7528\u3057\u3066 2 \u3064\u306e\u7dda\u306e\u9593\u306e\u89d2\u5ea6\u3092\u8a08\u7b97\u3059\u308b\u5f0f\u306f\u6b21\u306e\u3068\u304a\u308a\u3067\u3059\u3002 <\/p>\n<div style=\"background-color:#FFCC8080;padding-top: 20px; padding-bottom: 0.5px; padding-right: 40px; padding-left: 30px; border: 2px solid #FFB74D; border-radius:20px;\">\n<p style=\"text-align:left\"> 2 \u3064\u306e\u7570\u306a\u308b\u30e9\u30a4\u30f3\u306e\u65b9\u5411\u30d9\u30af\u30c8\u30eb\u3092\u8003\u3048\u308b\u3068\u3001\u6b21\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-b626c82ac04d69ba3bcafb5fa87d7d00_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{\\text{u}} = (\\text{u}_x,\\text{u}_y)\\qquad \\vv{\\text{v}} = (\\text{v}_x,\\text{v}_y)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"216\" style=\"vertical-align: -6px;\"><\/p>\n<\/p>\n<p style=\"text-align:left\">\u3053\u308c\u3089 2 \u672c\u306e\u7dda\u306e\u9593\u306e\u89d2\u5ea6\u306f\u3001\u6b21\u306e\u5f0f\u3067\u8a08\u7b97\u3067\u304d\u307e\u3059\u3002<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-19eb97a6cf27fffc3ea832e388f924a0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\cos(\\alpha) =\\cfrac{\\lvert \\vv{\\text{u}} \\cdot \\vv{\\text{v}}\\rvert}{\\lvert \\vv{\\text{u}} \\rvert \\cdot \\lvert \\vv{\\text{v}} \\rvert}\" title=\"Rendered by QuickLaTeX.com\" height=\"45\" width=\"127\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p style=\"text-align:left\">\u91d1<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-4501274336c637b37c6332eae5c6c229_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\lvert \\vv{\\text{u}} \\rvert\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"16\" style=\"vertical-align: -5px;\"><\/p>\n<p>\u305d\u3057\u3066<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-9a59cd4f2581db3318d38a2a77340a64_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\lvert \\vv{\\text{v}} \\rvert\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"15\" style=\"vertical-align: -5px;\"><\/p>\n<p>\u30d9\u30af\u30c8\u30eb\u306e\u30e2\u30b8\u30e5\u30fc\u30eb\u3067\u3059<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-cac24ae79c1e4cbc459f01ed5e4f824e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{\\text{u}}\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"10\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u305d\u3057\u3066<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-391ac2e3ba0b7f327ba5a0edc1ba162d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{\\text{v}}\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"9\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u305d\u308c\u305e\u308c\u3002<\/p>\n<\/div>\n<p>\u30d9\u30af\u30c8\u30eb\u306e\u5927\u304d\u3055\u306e\u516c\u5f0f\u306f\u6b21\u306e\u3068\u304a\u308a\u3067\u3042\u308b\u3053\u3068\u306b\u6ce8\u610f\u3057\u3066\u304f\u3060\u3055\u3044\u3002<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-0761a6a31d273eefccceb4aad7556a6c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\lvert \\vv{\\text{v}} \\rvert = \\sqrt{ \\text{v}_x^2+\\text{v}_y^2}\" title=\"Rendered by QuickLaTeX.com\" height=\"32\" width=\"117\" style=\"vertical-align: -11px;\"><\/p>\n<\/p>\n<p>\u4f8b\u3092\u4f7f\u7528\u3057\u3066 2 \u3064\u306e\u7dda\u306e\u9593\u306e\u89d2\u5ea6\u3092\u898b\u3064\u3051\u308b\u65b9\u6cd5\u3092\u898b\u3066\u307f\u307e\u3057\u3087\u3046\u3002<\/p>\n<ul>\n<li>\u6b21\u306e 2 \u3064\u306e\u7dda\u306e\u9593\u306e\u89d2\u5ea6\u3092\u8a08\u7b97\u3057\u307e\u3059\u3002 <\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a336a6cbbd7581f1fb6481561aef1efc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle r: \\ \\begin{cases} x=2-3t \\\\[2ex]y=1+4t \\end{cases} \\qquad s: \\ 2x-5y+7=0\" title=\"Rendered by QuickLaTeX.com\" height=\"65\" width=\"334\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<div class=\"adsb30\" style=\" margin:12px; text-align:center\">\n<div id=\"ezoic-pub-ad-placeholder-109\"><\/div>\n<\/div>\n<p> 2 \u672c\u306e\u7dda\u306e\u9593\u306e\u89d2\u5ea6\u3092\u8a08\u7b97\u3059\u308b\u306b\u306f\u3001\u307e\u305a\u5404\u7dda\u306e\u65b9\u5411\u30d9\u30af\u30c8\u30eb\u3092\u898b\u3064\u3051\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n<p>\u6a29\u5229<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-c409433a9e2dfcdb83360a974d243f18_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"r\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"8\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u306f<a href=\"https:\/\/mathority.org\/ja\/\u76f4\u7dda\u306e\u30cf\u309a\u30e9\u30e1\u30c8\u30ea\u30c3\u30af\u65b9\u7a0b\u5f0f\u306e\u516c\u5f0f\/\">\u30d1\u30e9\u30e1\u30c8\u30ea\u30c3\u30af\u65b9\u7a0b\u5f0f<\/a>\u306e\u5f62\u5f0f\u3067\u8868\u73fe\u3055\u308c\u308b\u305f\u3081\u3001\u305d\u306e\u65b9\u5411\u3092\u793a\u3059\u30d9\u30af\u30c8\u30eb\u306e\u6210\u5206\u306f\u6b21\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-5d3e98a6c4a49b9b38e463795eb44b82_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{r} = (-3,4)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"85\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u305d\u3057\u3066\u6cd5\u5f8b<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-ea93feaa2c7157ec666d9a59c0f6a699_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  s\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"8\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u306f\u6697\u9ed9\u7684\u306a (\u307e\u305f\u306f\u4e00\u822c\u7684\u306a) \u65b9\u7a0b\u5f0f\u306e\u5f62\u5f0f\u3067\u5b9a\u7fa9\u3055\u308c\u308b\u305f\u3081\u3001\u305d\u306e\u65b9\u5411\u30d9\u30af\u30c8\u30eb\u306e\u5ea7\u6a19\u306f\u6b21\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-25fa1b333fb55fd35e2ff773a99aab2c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{s} = (-B,A)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"94\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-59f221044ed855cbee5120d8936cc247_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{s} = (5,2)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"71\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u5404\u7dda\u306e\u65b9\u5411\u30d9\u30af\u30c8\u30eb\u304c\u308f\u304b\u3063\u305f\u306e\u3067\u30012 \u672c\u306e\u7dda\u306e\u9593\u306e\u89d2\u5ea6\u306e\u516c\u5f0f\u3092\u4f7f\u7528\u3067\u304d\u307e\u3059\u3002<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-790804eb21bd7b19771c5597b3cea577_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\cos(\\alpha) =\\cfrac{\\lvert\\vv{r} \\cdot \\vv{s}\\rvert}{\\lvert \\vv{r} \\rvert \\cdot \\lvert \\vv{s} \\rvert}\" title=\"Rendered by QuickLaTeX.com\" height=\"45\" width=\"125\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p>\u3057\u305f\u304c\u3063\u3066\u30012 \u3064\u306e\u30d9\u30af\u30c8\u30eb\u306e\u5927\u304d\u3055\u3092\u6c7a\u5b9a\u3057\u307e\u3059\u3002<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-5630e1894a54b931779a240cce2b3460_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\lvert \\vv{r} \\rvert = \\sqrt{(-3)^2+4^2}= 5\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"172\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-3b8dca924b988372d9cc00e5a3e79041_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\lvert \\vv{s} \\rvert = \\sqrt{5^2+2^2}= \\sqrt{29}\" title=\"Rendered by QuickLaTeX.com\" height=\"24\" width=\"169\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u89d2\u5ea6\u306e\u516c\u5f0f\u306e\u30d9\u30af\u30c8\u30eb\u6f14\u7b97\u3092\u5b9f\u884c\u3057\u307e\u3059\u3002<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-790804eb21bd7b19771c5597b3cea577_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\cos(\\alpha) =\\cfrac{\\lvert\\vv{r} \\cdot \\vv{s}\\rvert}{\\lvert \\vv{r} \\rvert \\cdot \\lvert \\vv{s} \\rvert}\" title=\"Rendered by QuickLaTeX.com\" height=\"45\" width=\"125\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-1f1810380fc6ddab753a49fb43d8d136_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\cos(\\alpha) =\\cfrac{\\lvert(-3,4) \\cdot (5,2)\\rvert}{5 \\cdot \\sqrt{29}}= \\cfrac{\\lvert-3 \\cdot 5 + 4\\cdot 2\\rvert}{26,93} = \\cfrac{7}{26,93} = 0,26\" title=\"Rendered by QuickLaTeX.com\" height=\"44\" width=\"449\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<p>\u305d\u3057\u3066\u6700\u5f8c\u306b\u3001\u30b3\u30b5\u30a4\u30f3\u306e\u9006\u6570\u3092\u4f7f\u7528\u3057\u3066 2 \u3064\u306e\u76f4\u7dda\u306b\u3088\u3063\u3066\u5f62\u6210\u3055\u308c\u308b\u89d2\u5ea6\u3092\u8a08\u7b97\u3057\u307e\u3059\u3002<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-839ce1333f41e5392ef7d2127853aae2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\alpha= \\text{cos}^{-1}(0,26) = \\bm{74,93\u00ba}\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"193\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u30ad\u30fc\u3092\u4f7f\u7528\u3057\u3066\u96fb\u5353\u3092\u4f7f\u7528\u3059\u308b\u3068\u3001\u30b3\u30b5\u30a4\u30f3\u306e\u9006\u6570\u3092\u8a08\u7b97\u3067\u304d\u308b\u3053\u3068\u3092\u899a\u3048\u3066\u304a\u3044\u3066\u304f\u3060\u3055\u3044\u3002 <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-8b70d14d21b828bcf46c4104f901c916_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\boxed{\\cos ^{-1}}.\" title=\"Rendered by QuickLaTeX.com\" height=\"28\" width=\"57\" style=\"vertical-align: -6px;\"><\/p>\n<\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"metodo-de-las-pendientes\"><\/span>\u30b9\u30ed\u30fc\u30d7\u6cd5<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\u660e\u3089\u304b\u306b\u3001\u3053\u306e\u65b9\u6cd5\u3092\u7406\u89e3\u3059\u308b\u306b\u306f\u3001<a href=\"https:\/\/mathority.org\/ja\/\u76f4\u7dda\u306e\u50be\u304d\u306e\u516c\u5f0f\/\">\u7dda\u306e\u50be\u304d<\/a>\u3092\u77e5\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002\u3053\u306e\u6982\u5ff5\u306f\u30ea\u30f3\u30af\u3067\u78ba\u8a8d\u3067\u304d\u307e\u3059\u3002\u3053\u306e\u6982\u5ff5\u306e\u610f\u5473\u3001\u8a08\u7b97\u65b9\u6cd5\u3001\u4f8b\u3001\u304a\u3088\u3073\u7dda\u306e\u50be\u304d\u306e\u6f14\u7fd2\u554f\u984c\u306e\u8a73\u7d30\u306a\u8aac\u660e\u304c\u8a18\u8f09\u3055\u308c\u3066\u3044\u307e\u3059\u3002<\/p>\n<p> 2 \u672c\u306e\u7dda\u306e\u50be\u304d\u304b\u3089\u9593\u306e\u89d2\u5ea6\u3092\u8a08\u7b97\u3059\u308b\u5f0f\u306f\u6b21\u306e\u3068\u304a\u308a\u3067\u3059\u3002 <\/p>\n<div style=\"background-color:#FFCC8080;padding-top: 20px; padding-bottom: 0.5px; padding-right: 40px; padding-left: 30px; border: 2px solid #FFB74D; border-radius:20px;\">\n<p style=\"text-align:left\">\u307e\u305f\u306f 2 \u3064\u306e\u7570\u306a\u308b\u884c:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a9768adb30eaa8e08b67c58e5c4921df_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"r_1 : \\ y=m_1 x+n_1 \\qquad r_2: \\ y=m_2 x+n_2\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"321\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p style=\"text-align:left\">\u3053\u308c\u3089 2 \u672c\u306e\u7dda\u306e\u9593\u306e\u89d2\u5ea6\u306f\u3001\u6b21\u306e\u5f0f\u3067\u6c42\u3081\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-82acfc9ae51ee3a469cfabc7024aa75c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\text{tg}(\\alpha) =\\begin{vmatrix} \\cfrac{m_2-m_1}{1+m_1\\cdot m_2} \\end{vmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"44\" width=\"166\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p style=\"text-align:left\">\u91d1<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-51921237944fd6e43f0640228a37376f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"m_1\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"22\" style=\"vertical-align: -3px;\"><\/p>\n<p>\u305d\u3057\u3066<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f6dae86895dac0d4644151786b47c7ce_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"m_2\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"23\" style=\"vertical-align: -3px;\"><\/p>\n<p>\u7dda\u306e\u50be\u304d\u3067\u3059<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-6ce00e1b287bac058a29aa4a5cc2b715_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"r_1\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"14\" style=\"vertical-align: -3px;\"><\/p>\n<p>\u305d\u3057\u3066<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-80681c4f8159fb897fed760530a2ef01_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"r_2\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"15\" style=\"vertical-align: -3px;\"><\/p>\n<p>\u305d\u308c\u305e\u308c\u3002<\/p>\n<\/div>\n<p>\u4f8b\u3092\u4f7f\u7528\u3057\u3066\u3001\u50be\u304d\u3092\u4f7f\u7528\u3057\u3066 2 \u3064\u306e\u7dda\u306e\u9593\u306e\u89d2\u5ea6\u3092\u8a08\u7b97\u3059\u308b\u65b9\u6cd5\u3092\u898b\u3066\u307f\u307e\u3057\u3087\u3046\u3002<\/p>\n<ul>\n<li>\u6b21\u306e 2 \u3064\u306e\u7dda\u306e\u9593\u306e\u89d2\u5ea6\u3092\u6c42\u3081\u307e\u3059\u3002<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-37af9568ead27bf5cc0bedd4e23107b8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle r: \\ y=4x-2 \\qquad s: \\ y=-3x+1\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"272\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p>\u5404\u7dda\u306e\u50be\u304d\u306f\u5909\u6570\u306e\u524d\u306e\u6570\u5024\u3067\u3059\u3002 <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-845f2902b8bebf60c3c7372a7fbe4d02_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x:\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"19\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-6fd143f62c08661d4c17431b128bdcf9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"m_r = 4\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"56\" style=\"vertical-align: -3px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a6063973129bb0bac4b98714e474f8ed_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"m_s = -3\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"69\" style=\"vertical-align: -3px;\"><\/p>\n<\/p>\n<p>\u3057\u305f\u304c\u3063\u3066\u30012 \u3064\u306e\u7dda\u306e\u9593\u306e\u89d2\u5ea6\u306f\u3001\u6b21\u306e\u50be\u304d\u516c\u5f0f\u3092\u9069\u7528\u3059\u308b\u3053\u3068\u3067\u6c42\u3081\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-551288f526b75201969ebf9117fc9b1f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\text{tg}(\\alpha) =\\begin{vmatrix} \\cfrac{m_s-m_r}{1+m_r\\cdot m_s} \\end{vmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"44\" width=\"165\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-639af21616a579864711c6c3466a5157_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\text{tg}(\\alpha) =\\begin{vmatrix} \\cfrac{-3-4}{1+4\\cdot (-3)} \\end{vmatrix}=\\begin{vmatrix} \\cfrac{-7}{-11} \\end{vmatrix} = 0,64\" title=\"Rendered by QuickLaTeX.com\" height=\"46\" width=\"294\" style=\"vertical-align: -19px;\"><\/p>\n<\/p>\n<p>\u305d\u3057\u3066\u6700\u5f8c\u306b\u3001\u63a5\u7dda\u306e\u9006\u89d2\u5ea6\u3092\u6c42\u3081\u307e\u3059\u3002<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-caed83d6028d223b06c41f639e5323e3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\alpha= \\text{tg}^{-1}(0,64) = \\bm{32,62\u00ba}\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"184\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u30ad\u30fc\u3092\u4f7f\u7528\u3057\u3066\u96fb\u5353\u3092\u4f7f\u7528\u3059\u308b\u3068\u3001\u6b63\u63a5\u306e\u9006\u6570\u3092\u8a08\u7b97\u3067\u304d\u308b\u3053\u3068\u3092\u899a\u3048\u3066\u304a\u3044\u3066\u304f\u3060\u3055\u3044\u3002<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-2be52d0cf4b9ef4f831429feec90b416_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\boxed{\\tan ^{-1}}.\" title=\"Rendered by QuickLaTeX.com\" height=\"28\" width=\"59\" style=\"vertical-align: -6px;\"><\/p>\n<\/p>\n<p> 2 \u3064\u306e\u76f4\u7dda\u306e\u50be\u304d\u3092\u660e\u793a\u7684\u306a\u65b9\u7a0b\u5f0f\u3068\u3057\u3066\u8868\u73fe\u3057\u305f\u4f8b\u3092\u5148\u307b\u3069\u898b\u307e\u3057\u305f\u304c\u3001\u305d\u308c\u3089\u304c<a href=\"https:\/\/mathority.org\/ja\/\u65b9\u7a0b\u5f0f\u70b9\u306e\u76f4\u7dda\u306e\u50be\u304d\u516c\u5f0f\/\">\u70b9\u50be\u304d\u65b9\u7a0b\u5f0f\u306e\u5f62\u5f0f\u3067\u3042\u308b\u5834\u5408\u306f\u3001<\/a>\u3053\u308c\u3068\u540c\u3058\u624b\u9806\u3092\u4f7f\u7528\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejercicios-resueltos-de-angulos-entre-dos-rectas\"><\/span> 2 \u672c\u306e\u7dda\u306e\u9593\u306e\u89d2\u5ea6\u306e\u554f\u984c\u3092\u89e3\u304f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<h3 class=\"wp-block-heading\">\u6f14\u7fd2 1<\/h3>\n<p>\u6b21\u306e 2 \u3064\u306e\u76f4\u7dda\u306b\u3088\u3063\u3066\u5f62\u6210\u3055\u308c\u308b\u89d2\u5ea6\u3092\u6c7a\u5b9a\u3057\u307e\u3059\u3002 <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-975bcacc5eecede0a2288a39eeb27a73_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle r: \\ \\begin{cases} x=4+t \\\\[2ex]y=-3-2t \\end{cases} \\qquad s: \\ \\begin{cases} x=4t \\\\[2ex]y=-1-t \\end{cases}\" title=\"Rendered by QuickLaTeX.com\" height=\"65\" width=\"324\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E4F0FE\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E4F0FE\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"><strong>\u89e3\u6c7a\u7b56\u3092\u53c2\u7167<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\">\u3053\u306e\u5834\u5408\u3001\u65b9\u5411\u30d9\u30af\u30c8\u30eb\u6cd5\u3092\u4f7f\u7528\u3057\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u6700\u521d\u306b\u5404\u30e9\u30a4\u30f3\u306e\u65b9\u5411\u30d9\u30af\u30c8\u30eb\u3092\u898b\u3064\u3051\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002\u3069\u3061\u3089\u306e\u76f4\u7dda\u3082\u30d1\u30e9\u30e1\u30c8\u30ea\u30c3\u30af\u65b9\u7a0b\u5f0f\u3068\u3057\u3066\u8868\u73fe\u3055\u308c\u308b\u305f\u3081\u3001\u65b9\u5411\u30d9\u30af\u30c8\u30eb\u306e\u6210\u5206\u306f\u30d1\u30e9\u30e1\u30fc\u30bf\u30fc\u306e\u524d\u306e\u9805\u306b\u306a\u308a\u307e\u3059\u3002 <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-40f8b062c79839dcf7f2885a9e1469e7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"t:\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"15\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-ac0191cf7cbec493c10a4fa8197e2a6b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{r} = (1,-2)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"85\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-97225ee00d3957d5d85cdc93c8015ed4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{s} = (4,-1)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"85\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u5404\u7dda\u306e\u65b9\u5411\u30d9\u30af\u30c8\u30eb\u304c\u308f\u304b\u3063\u305f\u306e\u3067\u30012 \u672c\u306e\u7dda\u306e\u9593\u306e\u89d2\u5ea6\u306e\u516c\u5f0f\u3092\u4f7f\u7528\u3067\u304d\u307e\u3059\u3002<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-790804eb21bd7b19771c5597b3cea577_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\cos(\\alpha) =\\cfrac{\\lvert\\vv{r} \\cdot \\vv{s}\\rvert}{\\lvert \\vv{r} \\rvert \\cdot \\lvert \\vv{s} \\rvert}\" title=\"Rendered by QuickLaTeX.com\" height=\"45\" width=\"125\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u3057\u305f\u304c\u3063\u3066\u30012 \u3064\u306e\u30d9\u30af\u30c8\u30eb\u306e\u5927\u304d\u3055\u3092\u6c7a\u5b9a\u3057\u307e\u3059\u3002 <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-2e501df610a9ae606c598ec472017f78_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\lvert \\vv{r} \\rvert = \\sqrt{1^2+(-2)^2}= \\sqrt{5}\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"187\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-b9e23805a7bdb58bd0b4893d4b6e586a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\lvert \\vv{s} \\rvert = \\sqrt{4^2+(-1)^2}= \\sqrt{17}\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"196\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u5206\u5b50\u306e 2 \u3064\u306e\u30d9\u30af\u30c8\u30eb\u9593\u306e\u30b9\u30ab\u30e9\u30fc\u7a4d\u3068\u3001\u5206\u6bcd\u306e\u30e2\u30b8\u30e5\u30fc\u30eb\u306e\u4e57\u7b97\u3092\u89e3\u304d\u307e\u3059\u3002 <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-790804eb21bd7b19771c5597b3cea577_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\cos(\\alpha) =\\cfrac{\\lvert\\vv{r} \\cdot \\vv{s}\\rvert}{\\lvert \\vv{r} \\rvert \\cdot \\lvert \\vv{s} \\rvert}\" title=\"Rendered by QuickLaTeX.com\" height=\"45\" width=\"125\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-e5d926125129db13c541515e1dd0beba_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\cos(\\alpha) =\\cfrac{\\lvert(1,-2) \\cdot (4,-1)\\rvert}{\\sqrt{5} \\cdot \\sqrt{17}}= \\cfrac{\\lvert 1 \\cdot 4 + (-2)\\cdot (-1)\\rvert}{9,22} = \\cfrac{6}{9,22} = 0,65\" title=\"Rendered by QuickLaTeX.com\" height=\"44\" width=\"494\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u305d\u3057\u3066\u6700\u5f8c\u306b\u3001\u30b3\u30b5\u30a4\u30f3\u306e\u9006\u95a2\u6570\u3092\u5b9f\u884c\u3057\u3066\u30012 \u3064\u306e\u7dda\u306b\u3088\u3063\u3066\u5f62\u6210\u3055\u308c\u308b\u89d2\u5ea6\u3092\u898b\u3064\u3051\u307e\u3059\u3002 <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-3ede88ebdcf81c8914fed546ba2a0d1b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\alpha= \\text{cos}^{-1}(0,65) = \\bm{49,40\u00ba}\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"193\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\">\u6f14\u7fd2 2<\/h3>\n<p>\u6b21\u306e 2 \u3064\u306e\u7dda\u306e\u9593\u306e\u89d2\u5ea6\u3092\u6c42\u3081\u307e\u3059\u3002 <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-818fae5a2074424ec782243f26c5708c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle r: \\ -3x+4y+1=0 \\qquad s: \\ \\cfrac{x-1}{6} = \\cfrac{y+5}{3}\" title=\"Rendered by QuickLaTeX.com\" height=\"39\" width=\"337\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E4F0FE\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E4F0FE\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"><strong>\u89e3\u6c7a\u7b56\u3092\u53c2\u7167<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\">\u3053\u306e\u554f\u984c\u3092\u65b9\u5411\u30d9\u30af\u30c8\u30eb\u6cd5\u3092\u4f7f\u3063\u3066\u89e3\u304f\u306e\u3067\u3001\u307e\u305a\u5404\u30e9\u30a4\u30f3\u306e\u65b9\u5411\u30d9\u30af\u30c8\u30eb\u3092\u6c42\u3081\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002\u6a29\u5229<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-c409433a9e2dfcdb83360a974d243f18_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"r\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"8\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u306f\u3001\u305d\u306e\u65b9\u5411\u3092\u793a\u3059\u30d9\u30af\u30c8\u30eb\u306e\u6210\u5206\u304c\u6b21\u306e\u3088\u3046\u306a\u4e00\u822c (\u307e\u305f\u306f\u6697\u9ed9\u7684\u306a) \u65b9\u7a0b\u5f0f\u306e\u5f62\u5f0f\u3067\u8868\u73fe\u3055\u308c\u307e\u3059\u3002 <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-381327f58ef6c881ed34e78624c91b8d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{r} = (-B,A)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"94\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-383a5264ab7ded87d5684560e6263e15_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{r} = (-4,-3)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"99\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u305d\u3057\u3066\u6cd5\u5f8b<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-ea93feaa2c7157ec666d9a59c0f6a699_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  s\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"8\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u306f\u9023\u7d9a\u65b9\u7a0b\u5f0f\u306e\u5f62\u5f0f\u3067\u5b9a\u7fa9\u3055\u308c\u308b\u305f\u3081\u3001\u305d\u306e\u65b9\u5411\u30d9\u30af\u30c8\u30eb\u306e\u30c7\u30ab\u30eb\u30c8\u5ea7\u6a19\u306f\u5206\u6bcd\u306e\u6570\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-4ba6fe3a3d80f3a44c2c3a0c8345ffa4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{s} = (6,3)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"71\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u5404\u7dda\u306e\u65b9\u5411\u30d9\u30af\u30c8\u30eb\u304c\u308f\u304b\u3063\u305f\u3089\u30012 \u672c\u306e\u7dda\u306e\u9593\u306e\u89d2\u5ea6\u306e\u516c\u5f0f\u3092\u4f7f\u7528\u3067\u304d\u307e\u3059\u3002<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-790804eb21bd7b19771c5597b3cea577_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\cos(\\alpha) =\\cfrac{\\lvert\\vv{r} \\cdot \\vv{s}\\rvert}{\\lvert \\vv{r} \\rvert \\cdot \\lvert \\vv{s} \\rvert}\" title=\"Rendered by QuickLaTeX.com\" height=\"45\" width=\"125\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u3057\u305f\u304c\u3063\u3066\u30012 \u3064\u306e\u30d9\u30af\u30c8\u30eb\u306e\u30e2\u30b8\u30e5\u30fc\u30eb\u3092\u6c7a\u5b9a\u3057\u307e\u3059\u3002 <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-565377b63a2e28ce9613745bc0c0b756_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\lvert \\vv{r} \\rvert = \\sqrt{(-4)^2+(-3)^2}= 5\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"199\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-65100d7dbdf97aa72e9212379ff54de8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\lvert \\vv{s} \\rvert = \\sqrt{6^2+3^2}= \\sqrt{45}\" title=\"Rendered by QuickLaTeX.com\" height=\"24\" width=\"169\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u89d2\u5ea6\u306e\u516c\u5f0f\u306e\u30d9\u30af\u30c8\u30eb\u9593\u306e\u6f14\u7b97\u3092\u5b9f\u884c\u3057\u307e\u3059\u3002 <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-790804eb21bd7b19771c5597b3cea577_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\cos(\\alpha) =\\cfrac{\\lvert\\vv{r} \\cdot \\vv{s}\\rvert}{\\lvert \\vv{r} \\rvert \\cdot \\lvert \\vv{s} \\rvert}\" title=\"Rendered by QuickLaTeX.com\" height=\"45\" width=\"125\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a36b58fc65b59f20656acc68016020ac_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\cos(\\alpha) =\\cfrac{\\lvert(-4,-3) \\cdot (6,3)\\rvert}{5 \\cdot \\sqrt{45}}= \\cfrac{\\lvert -4 \\cdot 6 + (-3)\\cdot 3\\rvert}{33,54} = \\cfrac{33}{33,54} = 0,98\" title=\"Rendered by QuickLaTeX.com\" height=\"44\" width=\"490\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u305d\u3057\u3066\u6700\u5f8c\u306b\u3001\u30b3\u30b5\u30a4\u30f3\u306e\u9006\u6570\u3092\u4f7f\u7528\u3057\u3066 2 \u3064\u306e\u76f4\u7dda\u306b\u3088\u3063\u3066\u5f62\u6210\u3055\u308c\u308b\u89d2\u5ea6\u3092\u8a08\u7b97\u3057\u307e\u3059\u3002 <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-216ef184adb4e8e26ea4dba3a0d41a67_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\alpha= \\text{cos}^{-1}(0,98) = \\bm{10,30\u00ba}\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"193\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\">\u6f14\u7fd2 3<\/h3>\n<p>\u6b21\u306e 2 \u3064\u306e\u7dda\u306e\u9593\u306e\u89d2\u5ea6\u306f\u3044\u304f\u3089\u3067\u3059\u304b? <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-3a559370fd832ad2f4707782cf40cb37_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle r: \\ y=-2x+9 \\qquad s: \\ y=5x-1\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"272\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E4F0FE\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E4F0FE\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"><strong>\u89e3\u6c7a\u7b56\u3092\u53c2\u7167<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\">\u3053\u306e\u5834\u5408\u3001\u7dda\u306f\u660e\u793a\u7684\u306a\u65b9\u7a0b\u5f0f\u306e\u5f62\u5f0f\u306b\u306a\u3063\u3066\u3044\u308b\u305f\u3081\u3001\u7dda\u306e\u50be\u304d\u306e\u65b9\u6cd5\u3092\u4f7f\u7528\u3057\u3066\u7dda\u306e\u306a\u3059\u89d2\u5ea6\u3092\u8abf\u3079\u307e\u3059\u3002<\/p>\n<p class=\"has-text-align-left\">\u5404\u7dda\u306e\u50be\u304d\u306f\u3001\u72ec\u7acb\u5909\u6570\u306b\u4ed8\u968f\u3059\u308b\u6570\u5024\u3067\u3059\u3002 <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-845f2902b8bebf60c3c7372a7fbe4d02_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x:\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"19\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-42a36a89145f23919d8665908c3e2bc3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"m_r = -2\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"69\" style=\"vertical-align: -3px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-42de98336b7cbc2dc475ea3037bebc55_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"m_s = 5\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"54\" style=\"vertical-align: -3px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u3057\u305f\u304c\u3063\u3066\u30012 \u3064\u306e\u7dda\u306e\u9593\u306e\u89d2\u5ea6\u306f\u3001\u6b21\u306e\u50be\u304d\u516c\u5f0f\u3092\u9069\u7528\u3059\u308b\u3053\u3068\u3067\u6c7a\u5b9a\u3067\u304d\u307e\u3059\u3002 <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-551288f526b75201969ebf9117fc9b1f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\text{tg}(\\alpha) =\\begin{vmatrix} \\cfrac{m_s-m_r}{1+m_r\\cdot m_s} \\end{vmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"44\" width=\"165\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-172bd34124a3b9e86696158d992eebb8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\text{tg}(\\alpha) =\\begin{vmatrix} \\cfrac{-2-5}{1+5\\cdot (-2)} \\end{vmatrix}=\\begin{vmatrix} \\cfrac{-7}{-9} \\end{vmatrix} = 0,78\" title=\"Rendered by QuickLaTeX.com\" height=\"46\" width=\"293\" style=\"vertical-align: -19px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u6700\u5f8c\u306b\u3001\u63a5\u7dda\u3092\u53cd\u8ee2\u3057\u3066 2 \u3064\u306e\u7dda\u306e\u9593\u306e\u89d2\u5ea6\u3092\u6c42\u3081\u307e\u3059\u3002 <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-6c84b4105875a851c576fb326e2ba6f8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\alpha= \\text{tg}^{-1}(0,78) = \\bm{37,87\u00ba}\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"185\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\">\u6f14\u7fd2 4<\/h3>\n<p>\u70b9\u3092\u901a\u308b\u76f4\u7dda\u306e\u65b9\u7a0b\u5f0f\u3092\u6c42\u3081\u307e\u3059<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-6958f848b3f39930bc315b56f627f888_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(5,-1)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"66\" style=\"vertical-align: -5px;\"><\/p>\n<p>\u7dda\u306845\u5ea6\u306e\u89d2\u5ea6\u3092\u4f5c\u308a\u307e\u3059<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-aa03a29f511592c1a1ecc8b306b0cf0d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"r.\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"12\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u3053\u3046\u8a00\u308f\u308c\u307e\u3059: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-34edcc0a8f3b1c557be083882ab8b7e2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle r: \\ y=2x+4\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"112\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E4F0FE\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E4F0FE\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"><strong>\u89e3\u6c7a\u7b56\u3092\u53c2\u7167<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\">\u554f\u984c\u3092\u89e3\u6c7a\u3059\u308b\u305f\u3081\u306b\u3001\u79c1\u305f\u3061\u306f\u96fb\u8a71\u3057\u307e\u3059<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-ae1901659f469e6be883797bfd30f4f8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"s\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"8\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u8a08\u7b97\u3059\u308b\u53f3\u5074\u306b\u3042\u308a\u307e\u3059\u3002\u3055\u3089\u306b\u3001\u7dda\u306e\u50be\u304d\u304c\u308f\u304b\u3063\u3066\u3044\u308b\u305f\u3081\u3001\u50be\u304d\u6cd5\u3092\u4f7f\u7528\u3057\u307e\u3059\u3002<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-c5986f031932e6b3512dc564514c34b5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"r:\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"17\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-9edd8ad155030a560ef8313513b5ac14_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"m_r=2\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"55\" style=\"vertical-align: -3px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> 2 \u672c\u306e\u7dda\u306e\u9593\u306e\u89d2\u5ea6\u306e\u516c\u5f0f (\u50be\u304d\u6cd5) \u304b\u3089\u3001\u7dda\u306e\u50be\u304d\u306e\u5024\u3092\u53d6\u5f97\u3067\u304d\u307e\u3059\u3002 <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-580a84fe09f12aa20c352a8336880e41_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"s:\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"17\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-551288f526b75201969ebf9117fc9b1f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\text{tg}(\\alpha) =\\begin{vmatrix} \\cfrac{m_s-m_r}{1+m_r\\cdot m_s} \\end{vmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"44\" width=\"165\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u65e2\u77e5\u306e\u5024\u3092\u5f0f\u306b\u4ee3\u5165\u3057\u307e\u3059\u3002<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-ace7fdfc7474a43a6fad81e0185d0050_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\text{tg}(45\u00ba) =\\begin{vmatrix} \\cfrac{m_s-2}{1+2\\cdot m_s} \\end{vmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"44\" width=\"158\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u305d\u3057\u3066\u3001\u7d50\u679c\u3068\u3057\u3066\u5f97\u3089\u308c\u308b\u65b9\u7a0b\u5f0f\u3092\u89e3\u3044\u3066\u307f\u307e\u3059\u3002<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-0f2ea68d68e24c3e30df526dfb88873c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle 1 =\\begin{vmatrix} \\cfrac{m_s-2}{1+2m_s} \\end{vmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"44\" width=\"105\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u65b9\u7a0b\u5f0f\u306e\u7d76\u5bfe\u5024\u306b\u3088\u308a\u3001\u6b63\u306e\u30aa\u30d7\u30b7\u30e7\u30f3\u3068\u8ca0\u306e\u30aa\u30d7\u30b7\u30e7\u30f3\u306e\u4e21\u65b9\u3092\u5206\u6790\u3059\u308b\u5fc5\u8981\u304c\u3042\u308b\u305f\u3081\u3001\u89e3\u304f\u306e\u304c\u3084\u3084\u96e3\u3057\u304f\u306a\u308a\u307e\u3059\u3002 <\/p>\n<div class=\"wp-block-columns is-layout-flex wp-container-149\">\n<div class=\"wp-block-column is-layout-flow\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-7ad2ad90ee94f08746cea11db3a6917f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle 1 =+\\cfrac{m_s-2}{1+2m_s}\" title=\"Rendered by QuickLaTeX.com\" height=\"41\" width=\"110\" style=\"vertical-align: -15px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-56c4a065c3919fbe023153fe2ba9133c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle 1 \\cdot (1+2m_s)=m_s-2\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"173\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-d31fa5d4b608e062c0e15476b3f15e7f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle 1+2m_s=m_s-2\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"137\" style=\"vertical-align: -3px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-870381f6e915e33b32ad147c9a4de5fc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle 2m_s-m_s=-2-1\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"152\" style=\"vertical-align: -3px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-1d7c13f0d7d21af8c407f7f535e0d994_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle m_s=-3\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"69\" style=\"vertical-align: -3px;\"><\/p>\n<\/p>\n<\/div>\n<div class=\"wp-block-column is-layout-flow\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-4b9e6f5eb952e8ea9758af5497ed8cf2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle 1 =-\\cfrac{m_s-2}{1+2m_s}\" title=\"Rendered by QuickLaTeX.com\" height=\"41\" width=\"110\" style=\"vertical-align: -15px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-2b984c3bc74269597752a909f457c8ff_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle 1 \\cdot (1+2m_s)=-(m_s-2)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"200\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-df53d7b057ec0e6b6f7701fb5149cbe0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle 1+2m_s=-m_s+2\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"151\" style=\"vertical-align: -3px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-9a96107cb59f52dcf9bb703e54c27757_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle 2m_s+m_s=2-1\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"138\" style=\"vertical-align: -3px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-067dac6d6aea31f65caccf5ed9c30052_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle 3m_s=1\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"63\" style=\"vertical-align: -3px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-9003dbf8679e5b0aaa8c10777f6d38fb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle m_s=\\cfrac{1}{3}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"57\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<\/div>\n<\/div>\n<p class=\"has-text-align-left\">\u3057\u305f\u304c\u3063\u3066\u3001\u8003\u3048\u3089\u308c\u308b\u89e3\u306f 2 \u3064\u3042\u308a\u307e\u3059\u3002\u50be\u304d\u304c -3 \u306e\u7dda\u3068\u3001\u50be\u304d\u304c 3 \u5206\u306e 1 \u306e\u7dda\u3067\u3059\u3002<\/p>\n<p class=\"has-text-align-left\">\u76f4\u7dda\u306e\u70b9\u3068\u50be\u304d\u306e\u65b9\u7a0b\u5f0f\u306e\u516c\u5f0f\u306f\u6b21\u306e\u3068\u304a\u308a\u3067\u3059\u3002<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-3441e1da8c7da5805b1133af77b14f60_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y-y_0=m(x-x_0)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"149\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u3057\u305f\u304c\u3063\u3066\u3001\u8003\u3048\u3089\u308c\u308b 2 \u3064\u306e\u76f4\u7dda\u306e\u50be\u304d\u304c\u308f\u304b\u308c\u3070\u3001\u6b21\u306e\u30b9\u30c6\u30fc\u30c8\u30e1\u30f3\u30c8\u306b\u5f93\u3063\u3066\u3001\u305d\u308c\u3089\u304c\u901a\u904e\u3059\u308b\u5fc5\u8981\u304c\u3042\u308b\u70b9\u3092\u542b\u3080\u5404\u76f4\u7dda\u306e\u70b9\u3068\u50be\u304d\u306e\u65b9\u7a0b\u5f0f\u3092\u66f8\u304f\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002 <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-c8726fb72614f7e8f7e546f9ac6995cc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(5,-1):\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"76\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-0a69157a1cf6a00b750b804590e63524_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle s: \\ y+1=-3(x-5) \\qquad \\qquad s': \\ y+1=\\cfrac{1}{3}(x-5)\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"402\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n","protected":false},"excerpt":{"rendered":"<p>\u3053\u306e\u30da\u30fc\u30b8\u3067\u306f2\u672c\u306e\u7dda\u306e\u9593\u306e\u89d2\u5ea6\u306e\u8a08\u7b97\u65b9\u6cd5\uff08\u516c\u5f0f\uff09\u3092\u89e3\u8aac\u3057\u307e\u3059\u3002\u307e\u305f\u3001\u3044\u304f\u3064\u304b\u306e\u4f8b\u3092\u898b\u308b\u3053\u3068\u304c\u3067\u304d\u3001\u3055\u3089\u306b\u3001\u6bb5\u968e\u7684\u306b\u89e3\u6c7a\u3055\u308c\u305f\u6f14\u7fd2\u3067\u7df4\u7fd2\u3059\u308b\u3053\u3068\u3082\u3067\u304d\u307e\u3059\u3002 2\u672c\u306e\u7dda\u306e\u9593\u306e\u89d2\u5ea6\u306f\u3044\u304f\u3089\u3067\u3059\u304b? 2 \u672c\u306e\u7dda\u306e\u9593\u306e\u89d2\u5ea6\u306f\u3001\u3053 &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/ja\/2-%e3%81%a4%e3%81%ae%e7%b7%9a%e3%81%ae%e9%96%93%e3%81%ae%e8%a7%92%e5%ba%a6-%e6%95%b0%e5%bc%8f%e3%81%ae%e4%be%8b-%e8%a7%a3%e6%b1%ba%e6%b8%88%e3%81%bf%e6%bc%94%e7%bf%92-%e5%82%be%e6%96%9c%e8%a7%92\/\"> <span class=\"screen-reader-text\">2\u672c\u306e\u76f4\u7dda\u9593\u306e\u89d2\u5ea6\uff08\u516c\u5f0f\uff09<\/span> \u3082\u3063\u3068\u8aad\u3080 &raquo;<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"","footnotes":""},"categories":[15],"tags":[],"class_list":["post-228","post","type-post","status-publish","format-standard","hentry","category-15"],"yoast_head":"<!-- This site is optimized 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