{"id":245,"date":"2023-07-10T14:01:40","date_gmt":"2023-07-10T14:01:40","guid":{"rendered":"https:\/\/mathority.org\/ja\/%e5%b9%b3%e9%9d%a2%e3%81%ae%e6%9a%97%e9%bb%99%e7%9a%84%e3%81%aa%e4%b8%80%e8%88%ac%e6%96%b9%e7%a8%8b%e5%bc%8f%e3%81%be%e3%81%9f%e3%81%af%e3%83%87%e3%82%ab%e3%83%ab%e3%83%88%e6%96%b9%e7%a8%8b%e5%bc%8f\/"},"modified":"2023-07-10T14:01:40","modified_gmt":"2023-07-10T14:01:40","slug":"%e5%b9%b3%e9%9d%a2%e3%81%ae%e6%9a%97%e9%bb%99%e7%9a%84%e3%81%aa%e4%b8%80%e8%88%ac%e6%96%b9%e7%a8%8b%e5%bc%8f%e3%81%be%e3%81%9f%e3%81%af%e3%83%87%e3%82%ab%e3%83%ab%e3%83%88%e6%96%b9%e7%a8%8b%e5%bc%8f","status":"publish","type":"post","link":"https:\/\/mathority.org\/ja\/%e5%b9%b3%e9%9d%a2%e3%81%ae%e6%9a%97%e9%bb%99%e7%9a%84%e3%81%aa%e4%b8%80%e8%88%ac%e6%96%b9%e7%a8%8b%e5%bc%8f%e3%81%be%e3%81%9f%e3%81%af%e3%83%87%e3%82%ab%e3%83%ab%e3%83%88%e6%96%b9%e7%a8%8b%e5%bc%8f\/","title":{"rendered":"\u5e73\u9762\u306e\u6697\u9ed9\u7684\u306a\u4e00\u822c\u65b9\u7a0b\u5f0f\u307e\u305f\u306f\u30c7\u30ab\u30eb\u30c8\u65b9\u7a0b\u5f0f"},"content":{"rendered":"<p>\u4e00\u822c\u65b9\u7a0b\u5f0f\u307e\u305f\u306f\u30c7\u30ab\u30eb\u30c8\u65b9\u7a0b\u5f0f\u3068\u3082\u547c\u3070\u308c\u308b\u3001\u6697\u9ed9\u7684\u306a\u5e73\u9762\u65b9\u7a0b\u5f0f (\u516c\u5f0f) \u306e\u8a08\u7b97\u65b9\u6cd5\u306e\u8aac\u660e\u3002\u3055\u3089\u306b\u3001\u6cd5\u7dda\u30d9\u30af\u30c8\u30eb\u304b\u3089\u5e73\u9762\u306e\u65b9\u7a0b\u5f0f\u3092\u898b\u3064\u3051\u308b\u65b9\u6cd5\u3082\u308f\u304b\u308a\u307e\u3059\u3002\u3055\u3089\u306b\u3001\u4f8b\u984c\u3084\u6f14\u7fd2\u3092\u6bb5\u968e\u7684\u306b\u89e3\u304f\u3053\u3068\u304c\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-la-ecuacion-implicita-o-general-del-plano\"><\/span>\u8a08\u753b\u306e\u6697\u9ed9\u7684\u306a\u65b9\u7a0b\u5f0f\u307e\u305f\u306f\u4e00\u822c\u65b9\u7a0b\u5f0f\u306f\u4f55\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>\u89e3\u6790\u5e7e\u4f55\u5b66\u3067\u306f\u3001<strong>\u5e73\u9762\u306e\u6697\u9ed9\u65b9\u7a0b\u5f0f<\/strong>(\u5e73\u9762\u306e<strong>\u4e00\u822c<\/strong>\u65b9\u7a0b\u5f0f\u307e\u305f\u306f<strong>\u30c7\u30ab\u30eb\u30c8<\/strong>\u65b9\u7a0b\u5f0f\u3068\u3082\u547c\u3070\u308c\u307e\u3059) \u306f\u3001\u4efb\u610f\u306e\u5e73\u9762\u3092\u6570\u5b66\u7684\u306b\u8868\u73fe\u3067\u304d\u308b\u65b9\u7a0b\u5f0f\u3067\u3059\u3002\u5e73\u9762\u306e\u9670\u7684\u65b9\u7a0b\u5f0f\u307e\u305f\u306f\u4e00\u822c\u65b9\u7a0b\u5f0f\u3092\u6c42\u3081\u308b\u306b\u306f\u3001\u305d\u306e\u5e73\u9762\u306b\u5c5e\u3059\u308b 1 \u3064\u306e\u70b9\u3068 2 \u3064\u306e\u7dda\u5f62\u72ec\u7acb\u30d9\u30af\u30c8\u30eb\u304c\u5fc5\u8981\u3067\u3059\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"formula-de-la-ecuacion-implicita-o-general-del-plano\"><\/span>\u8a08\u753b\u306e\u9670\u7684\u65b9\u7a0b\u5f0f\u307e\u305f\u306f\u4e00\u822c\u65b9\u7a0b\u5f0f\u306e\u5f0f<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<div style=\"background-color:#FFCC8080;padding-top: 20px; padding-bottom: 0.5px; padding-right: 30px; padding-left: 30px; border: 2px solid #FFB74D; border-radius:20px;\">\n<p style=\"text-align:left\">\u70b9\u3068\u5e73\u9762\u306e 2 \u3064\u306e\u65b9\u5411\u30d9\u30af\u30c8\u30eb\u3092\u8003\u3048\u3066\u307f\u307e\u3057\u3087\u3046\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-cf5d4130501bb01b15aa80f8f80caf1a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{c} P(P_x,P_y,P_z) \\\\[2ex] \\vv{\\text{u}}=(\\text{u}_x,\\text{u}_y,\\text{u}_z)\\\\[2ex] \\vv{\\text{v}}=(\\text{v}_x,\\text{v}_y,\\text{v}_z)\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"95\" width=\"116\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\"text-align:left\">\u5e73\u9762\u306e\u9670\u7684\u306a\u4e00\u822c\u65b9\u7a0b\u5f0f\u307e\u305f\u306f\u30c7\u30ab\u30eb\u30c8\u65b9\u7a0b\u5f0f\u306f\u3001\u6b21\u306e\u884c\u5217\u5f0f\u3092\u89e3\u304d\u3001\u7d50\u679c\u3092 0 \u306b\u8a2d\u5b9a\u3059\u308b\u3053\u3068\u306b\u3088\u3063\u3066\u53d6\u5f97\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-68d67612dfa54d76666aa37b702a472f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\begin{vmatrix}\\text{u}_x &amp; \\text{v}_x &amp; x-P_x \\\\[1.1ex]\\text{u}_y &amp; \\text{v}_y &amp; y-P_y \\\\[1.1ex]\\text{u}_z &amp; \\text{v}_z &amp; z-P_z \\end{vmatrix} = 0\" title=\"Rendered by QuickLaTeX.com\" height=\"86\" width=\"163\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\"text-align:left;\">\u3057\u305f\u304c\u3063\u3066\u3001<strong>\u7d50\u679c\u3068\u3057\u3066\u5f97\u3089\u308c\u308b\u8a08\u753b\u306e\u6697\u9ed9\u7684\u306a\u65b9\u7a0b\u5f0f\u307e\u305f\u306f\u4e00\u822c\u65b9\u7a0b\u5f0f\u306f<\/strong>\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-27e298e3103f917bd81b20315b6d9025_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Ax+By+Cz+D=0\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"183\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<\/div>\n<p>\u5f0f\u5185\u306e 2 \u3064\u306e\u30d9\u30af\u30c8\u30eb\u304c\u4e92\u3044\u306b\u7dda\u5f62\u72ec\u7acb\u3057\u3066\u3044\u308b\u3053\u3068\u304c\u91cd\u8981\u3067\u3059\u3002\u3064\u307e\u308a\u3001\u305d\u308c\u3089\u306e\u30d9\u30af\u30c8\u30eb\u306f\u7570\u306a\u308b\u65b9\u5411\u3092\u6301\u3063\u3066\u3044\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002\u305d\u3057\u3066\u3001\u3053\u306e\u6761\u4ef6\u304c\u6e80\u305f\u3055\u308c\u308b\u306b\u306f\u30012 \u3064\u306e\u30d9\u30af\u30c8\u30eb\u304c\u5e73\u884c\u3067\u306a\u3044\u3060\u3051\u3067\u5341\u5206\u3067\u3059\u3002 <\/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\/equations-planes.webp\" alt=\"r3 \u306e\u30d1\u30f3 xy \u306e\u6697\u9ed9\u7684\u307e\u305f\u306f\u4e00\u822c\u7684\u307e\u305f\u306f\u30c7\u30ab\u30eb\u30c8\u65b9\u7a0b\u5f0f\" class=\"wp-image-2443\" width=\"393\" height=\"138\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p>\u3053\u306e\u5f0f\u306e\u7406\u7531\u3092\u77e5\u308b\u5fc5\u8981\u306f\u3042\u308a\u307e\u305b\u3093\u304c\u3001\u4ee5\u4e0b\u3067\u305d\u306e\u30c7\u30e2\u30f3\u30b9\u30c8\u30ec\u30fc\u30b7\u30e7\u30f3\u3092\u3054\u89a7\u304f\u3060\u3055\u3044\u3002<\/p>\n<p>\u8a08\u753b\u306e\u30d1\u30e9\u30e1\u30c8\u30ea\u30c3\u30af\u65b9\u7a0b\u5f0f\u304b\u3089\u59cb\u3081\u3066\u3001\u8a08\u753b\u306e\u6697\u9ed9\u7684 (\u307e\u305f\u306f\u4e00\u822c) \u65b9\u7a0b\u5f0f\u306b\u9032\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-46f87775f11f01a59c70aa3ee864aebe_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\begin{cases}x=P_x + \\lambda \\text{u}_x + \\mu \\text{v}_x \\\\[1.7ex] y=P_y + \\lambda \\text{u}_y + \\mu \\text{v}_y\\\\[1.7ex] z=P_z + \\lambda\\text{u}_z + \\mu \\text{v}_z \\end{cases}\" title=\"Rendered by QuickLaTeX.com\" height=\"107\" width=\"167\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u307e\u305a\u3001\u5404\u30d1\u30e9\u30e1\u30c8\u30ea\u30c3\u30af\u65b9\u7a0b\u5f0f\u306e\u72ec\u7acb\u9805\u3092\u65b9\u7a0b\u5f0f\u306e\u53cd\u5bfe\u5074\u306b\u6e21\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-0c2f3831ca03939d7e23d24c7d435337_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\begin{cases}x-P_x= \\lambda \\text{u}_x + \\mu \\text{v}_x \\\\[1.7ex] y-P_y = \\lambda \\text{u}_y + \\mu \\text{v}_y\\\\[1.7ex] z-P_z = \\lambda\\text{u}_z + \\mu \\text{v}_z \\end{cases}\" title=\"Rendered by QuickLaTeX.com\" height=\"107\" width=\"167\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u307e\u305f\u306f\u540c\u7b49\u306e\u3082\u306e:<\/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-aca0b16ff9b92401181c2bdc5ba981bf_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\begin{cases} \\lambda \\text{u}_x + \\mu \\text{v}_x =x-P_x\\\\[1.7ex]  \\lambda \\text{u}_y + \\mu \\text{v}_y=y-P_y \\\\[1.7ex]  \\lambda\\text{u}_z + \\mu \\text{v}_z =z-P_z\\end{cases}\" title=\"Rendered by QuickLaTeX.com\" height=\"107\" width=\"166\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u4e0a\u8a18\u306e\u65b9\u7a0b\u5f0f\u7cfb\u304c\u5b9f\u884c\u53ef\u80fd\u306a\u89e3\u3092\u5f97\u308b\u306b\u306f\u3001\u6b21\u306e\u884c\u5217\u306e\u30e9\u30f3\u30af\u304c 2 \u306b\u7b49\u3057\u304f\u306a\u3051\u308c\u3070\u306a\u308a\u307e\u305b\u3093 (\u30eb\u30fc\u30b7\u30e5-\u30d5\u30ed\u30d9\u30cb\u30a6\u30b9\u306e\u5b9a\u7406)\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-6f802b760ba5ab681afd0f02c83eddb6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\begin{pmatrix}\\text{u}_x &amp; \\text{v}_x &amp; x-P_x \\\\[1.1ex]\\text{u}_y &amp; \\text{v}_y &amp; y-P_y \\\\[1.1ex]\\text{u}_z &amp; \\text{v}_z &amp; z-P_z\\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"85\" width=\"142\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u3057\u305f\u304c\u3063\u3066\u3001\u524d\u306e\u884c\u5217\u306e\u7bc4\u56f2\u304c 2 \u3067\u306a\u3051\u308c\u3070\u306a\u3089\u306a\u3044\u5834\u5408\u30013&#215;3 \u884c\u5217\u5f0f\u306f\u5fc5\u305a\u30bc\u30ed\u306b\u7b49\u3057\u304f\u306a\u3051\u308c\u3070\u306a\u308a\u307e\u305b\u3093\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-917f1770ff2a17897e5df76998ec3519_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\begin{vmatrix}\\text{u}_x &amp; \\text{v}_x &amp; x-P_x \\\\[1.1ex]\\text{u}_y &amp; \\text{v}_y &amp; y-P_y \\\\[1.1ex]\\text{u}_z &amp; \\text{v}_z &amp; z-P_z \\end{vmatrix} =0\" title=\"Rendered by QuickLaTeX.com\" height=\"86\" width=\"163\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u305d\u3057\u3066\u3001\u3053\u306e\u884c\u5217\u5f0f\u3092\u89e3\u304f\u3053\u3068\u306b\u3088\u3063\u3066\u3001\u5e73\u9762\u306e\u4e00\u822c\u7684\u306a\u9670\u7684\u65b9\u7a0b\u5f0f\u307e\u305f\u306f\u30c7\u30ab\u30eb\u30c8\u65b9\u7a0b\u5f0f\u304c\u5f97\u3089\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-27e298e3103f917bd81b20315b6d9025_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Ax+By+Cz+D=0\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"183\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p>\u3053\u3053\u307e\u3067\u3001\u5e73\u9762\u306e\u9670\u7684 (\u307e\u305f\u306f\u4e00\u822c) \u65b9\u7a0b\u5f0f\u3068\u30d1\u30e9\u30e1\u30c8\u30ea\u30c3\u30af\u65b9\u7a0b\u5f0f\u3092\u898b\u3066\u304d\u307e\u3057\u305f\u304c\u3001\u30d9\u30af\u30c8\u30eb\u65b9\u7a0b\u5f0f\u3084\u6b63\u6e96\u65b9\u7a0b\u5f0f\u306a\u3069\u3001\u5e73\u9762\u3092\u89e3\u6790\u7684\u306b\u8868\u73fe\u3059\u308b\u65b9\u6cd5\u306f\u3055\u3089\u306b\u305f\u304f\u3055\u3093\u3042\u308a\u307e\u3059\u3002\u3053\u306e\u30ea\u30f3\u30af\u3067\u306f\u3001<a href=\"https:\/\/mathority.org\/ja\/\u7a7a\u9593\u306b\u304a\u3051\u308b\u5e73\u9762\u65b9\u7a0b\u5f0f\/\">\u8a08\u753b\u5185\u306e\u3059\u3079\u3066\u306e\u65b9\u7a0b\u5f0f<\/a>\u306e\u516c\u5f0f\u3068\u8aac\u660e\u3092\u3054\u89a7\u3044\u305f\u3060\u3051\u307e\u3059\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplo-de-como-hallar-la-ecuacion-implicita-o-general-del-plano\"><\/span>\u5e73\u9762\u306e\u9670\u7684\u65b9\u7a0b\u5f0f\u307e\u305f\u306f\u4e00\u822c\u65b9\u7a0b\u5f0f\u3092\u898b\u3064\u3051\u308b\u65b9\u6cd5\u306e\u4f8b<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-109\"><\/div>\n<\/div>\n<p>\u4f8b\u3092\u901a\u3057\u3066\u3001\u5e73\u9762\u306e\u6697\u9ed9\u7684\u306a (\u307e\u305f\u306f\u4e00\u822c\u307e\u305f\u306f\u30c7\u30ab\u30eb\u30c8) \u65b9\u7a0b\u5f0f\u3092\u6c7a\u5b9a\u3059\u308b\u65b9\u6cd5\u3092\u898b\u3066\u307f\u307e\u3057\u3087\u3046\u3002<\/p>\n<ul>\n<li>\u70b9\u3092\u901a\u904e\u3059\u308b\u5e73\u9762\u306e\u9670\u7684\u65b9\u7a0b\u5f0f\u307e\u305f\u306f\u4e00\u822c\u65b9\u7a0b\u5f0f\u3092\u6c42\u3081\u307e\u3059\u3002\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-2118d788ea1b10a70b36f284857de70e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(3,1,-1)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"83\" style=\"vertical-align: -5px;\"><\/p>\n<p>\u30d9\u30af\u30c8\u30eb\u304c\u542b\u307e\u308c\u3066\u3044\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-ef85b7409667d52ad3c9f8981dad5f7e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{\\text{u}}=(2,0,3)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"89\" 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-a50e73125c9dcf4a9c58d316fbf850ef_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{\\text{v}}=(4,-1,2).\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"107\" style=\"vertical-align: -5px;\"><\/p>\n<\/li>\n<\/ul>\n<p>\u5e73\u9762\u306e\u4e00\u822c\u65b9\u7a0b\u5f0f\u307e\u305f\u306f\u9670\u7684\u65b9\u7a0b\u5f0f\u3092\u8a08\u7b97\u3059\u308b\u306b\u306f\u30012 \u3064\u306e\u30d9\u30af\u30c8\u30eb\u3001\u5909\u6570\u3001\u70b9\u306e\u5ea7\u6a19\u306b\u3088\u3063\u3066\u5f62\u6210\u3055\u308c\u308b\u6b21\u306e\u884c\u5217\u5f0f\u3092\u89e3\u304f\u5fc5\u8981\u304c\u3042\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-917f1770ff2a17897e5df76998ec3519_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\begin{vmatrix}\\text{u}_x &amp; \\text{v}_x &amp; x-P_x \\\\[1.1ex]\\text{u}_y &amp; \\text{v}_y &amp; y-P_y \\\\[1.1ex]\\text{u}_z &amp; \\text{v}_z &amp; z-P_z \\end{vmatrix} =0\" title=\"Rendered by QuickLaTeX.com\" height=\"86\" width=\"163\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u3057\u305f\u304c\u3063\u3066\u3001\u30d9\u30af\u30c8\u30eb\u3068\u70b9\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-aa25223c3a00e31f89043a3500d32c68_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\begin{vmatrix}2 &amp; 4 &amp; x-3 \\\\[1.1ex]0 &amp; -1 &amp; y-1 \\\\[1.1ex]3&amp; 2 &amp; z-(-1) \\end{vmatrix} =0\" title=\"Rendered by QuickLaTeX.com\" height=\"86\" width=\"173\" 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-7886f1c2758c204802b96f44acc8a7cd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\begin{vmatrix}2 &amp; 4 &amp; x-3 \\\\[1.1ex]0 &amp; -1 &amp; y-1 \\\\[1.1ex]3&amp; 2 &amp; z+1 \\end{vmatrix} =0\" title=\"Rendered by QuickLaTeX.com\" height=\"86\" width=\"147\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u6b21\u306b\u3001\u6b21\u6570 3 \u306e\u884c\u5217\u5f0f\u3092\u3001\u305f\u3068\u3048\u3070\u3001Sarrus \u30eb\u30fc\u30eb\u307e\u305f\u306f\u4f59\u56e0\u5b50 (\u307e\u305f\u306f\u4ee3\u7406) \u3092\u4f7f\u7528\u3057\u3066\u89e3\u6c7a\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-3d8c2ae50c69efa75c6f439ec502a6d3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"-2(z+1)+12(y-1)+3(x-3)-4(y-1) = 0\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"370\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u6b21\u306b\u3001\u7528\u8a9e\u3092\u64cd\u4f5c\u3057\u3066\u30b0\u30eb\u30fc\u30d7\u5316\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-e9cfe2d167a92bc1e64737ce9e7a5ed2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"3(x-3)+8(y-1) -2(z+1) = 0\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"264\" 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-3cf3da637bf3a8d04fb2b8d791d78a9a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"3x-9+8y-8 -2z-2 = 0\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"223\" style=\"vertical-align: -4px;\"><\/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-65167b5921553dd9e11f9ac9bb80864e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"3x+8y-2z-19 = 0\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"170\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p>\u3057\u305f\u304c\u3063\u3066\u3001\u8a08\u753b\u306e\u6697\u9ed9\u7684\u307e\u305f\u306f\u4e00\u822c\u65b9\u7a0b\u5f0f\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-152a3c9fd09fb72b6269201f02fb8303_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{3x+8y-2z-19 = 0}\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"170\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"calcular-la-ecuacion-implicita-o-general-de-un-plano-a-partir-de-su-vector-normal\"><\/span>\u6cd5\u7dda\u30d9\u30af\u30c8\u30eb\u304b\u3089\u5e73\u9762\u306e\u6697\u9ed9\u7684\u306a\u65b9\u7a0b\u5f0f\u307e\u305f\u306f\u4e00\u822c\u65b9\u7a0b\u5f0f\u3092\u8a08\u7b97\u3057\u307e\u3059\u3002<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u5e73\u9762\u306e\u65b9\u7a0b\u5f0f\u306b\u304a\u3051\u308b\u975e\u5e38\u306b\u5178\u578b\u7684\u306a\u554f\u984c\u306f\u3001\u70b9\u3068\u305d\u306e\u6cd5\u7dda (\u307e\u305f\u306f\u5782\u76f4) \u30d9\u30af\u30c8\u30eb\u3092\u8003\u616e\u3057\u3066\u3001\u7279\u5b9a\u306e\u5e73\u9762\u306e\u65b9\u7a0b\u5f0f\u304c\u3069\u306e\u3088\u3046\u306b\u898b\u3048\u308b\u304b\u3092\u898b\u3064\u3051\u308b\u3053\u3068\u3067\u3059\u3002\u305d\u308c\u3067\u306f\u3001\u3069\u306e\u3088\u3046\u306b\u6a5f\u80fd\u3059\u308b\u304b\u3092\u898b\u3066\u307f\u307e\u3057\u3087\u3046\u3002<\/p>\n<p>\u305f\u3060\u3057<strong>\u3001\u5e73\u9762\u306b\u5782\u76f4\u306a\u30d9\u30af\u30c8\u30eb\u306e\u6210\u5206 X\u3001Y\u3001Z \u304c<strong>\u305d\u308c\u305e\u308c\u3001<\/strong>\u5f53\u8a72\u5e73\u9762<\/strong><strong>\u306e\u9670\u7684\u306a (\u307e\u305f\u306f\u4e00\u822c\u7684\u306a) \u65b9\u7a0b\u5f0f\u306e\u4fc2\u6570 A\u3001B\u3001C \u3068\u4e00\u81f4\u3059\u308b\u3053\u3068\u3092\u6700\u521d\u306b\u77e5\u3063\u3066\u304a\u304f\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002<\/strong><\/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-27f3ee5d7e81864550f3b86fdd53e89d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\color{orange} \\boxed{ \\color{black} \\quad \\pi : \\ Ax+By+C+D = 0 \\quad \\iff \\quad \\vv{n} = (A,B,C) \\quad \\vphantom{\\Bigl(}}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"540\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p>\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-10affe1faee06a5faa4ef6d9c0473b1e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{n}\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"11\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u5e73\u9762\u306b\u76f4\u4ea4\u3059\u308b\u30d9\u30af\u30c8\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-26622dd58bf71cd1b543c3d83233c561_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\pi.\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"15\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u524d\u306e\u95a2\u4fc2\u304c\u308f\u304b\u3063\u305f\u3089\u3001\u3053\u306e\u30bf\u30a4\u30d7\u306e\u5e73\u9762\u65b9\u7a0b\u5f0f\u306e\u554f\u984c\u3092\u89e3\u304f\u4f8b\u3092\u898b\u3066\u307f\u307e\u3057\u3087\u3046\u3002<\/p>\n<ul>\n<li>\u70b9\u3092\u901a\u904e\u3059\u308b\u5e73\u9762\u306e\u9670\u7684\u306a\u65b9\u7a0b\u5f0f\u307e\u305f\u306f\u4e00\u822c\u65b9\u7a0b\u5f0f\u3092\u6c7a\u5b9a\u3057\u307e\u3059\u3002\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-6df0e548515bb2b24f352853a2614015_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(1,0,-2)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"83\" style=\"vertical-align: -5px;\"><\/p>\n<p>\u305d\u306e\u6cd5\u7dda\u30d9\u30af\u30c8\u30eb\u306e 1 \u3064\u306f\u3001<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-44298f830c420011a4326017f5fd7cfb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{n}=(3,-1,2) .\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"108\" style=\"vertical-align: -5px;\"><\/p>\n<\/li>\n<\/ul>\n<p>\u5e73\u9762\u306e\u9670\u7684\u306a\u4e00\u822c\u65b9\u7a0b\u5f0f\u307e\u305f\u306f\u30c7\u30ab\u30eb\u30c8\u65b9\u7a0b\u5f0f\u306e\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-27e298e3103f917bd81b20315b6d9025_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Ax+By+Cz+D=0\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"183\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p>\u3057\u305f\u304c\u3063\u3066\u3001\u6cd5\u7dda\u30d9\u30af\u30c8\u30eb\u304b\u3089\u4fc2\u6570 A\u3001B\u3001C \u3092\u898b\u3064\u3051\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u3053\u308c\u3089\u306f\u6cd5\u7dda\u30d9\u30af\u30c8\u30eb\u306e\u6210\u5206\u306b\u7b49\u3057\u3044\u305f\u3081\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-596b3fdc65160234c06b0d28aebea74f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{n}=(3,-1,2) \\ \\longrightarrow \\ 3x-1y+2z+D=0\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"322\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u30d1\u30e9\u30e1\u30fc\u30bf\u30fc D \u3092\u898b\u3064\u3051\u308b\u5fc5\u8981\u304c\u3042\u308b\u3060\u3051\u3067\u3059\u3002\u3053\u308c\u3092\u884c\u3046\u306b\u306f\u3001\u5e73\u9762\u306b\u5c5e\u3059\u308b\u70b9\u306e\u5ea7\u6a19\u3092\u65b9\u7a0b\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-6df0e548515bb2b24f352853a2614015_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(1,0,-2)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"83\" 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-09a0b099394ba4634fb6d7aad3a627e3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"3\\cdot 1-0+2\\cdot (-2)+D=0\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"210\" 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-b90d57a1708925626a300c7e5db673ae_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"3-4+D=0\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"109\" style=\"vertical-align: -2px;\"><\/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-d2dfb99a77bfcee1b72540db9cf579a4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"-1+D=0\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"91\" style=\"vertical-align: -2px;\"><\/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-16ace3f6683252e5630a1091bbc0404e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"D=1\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"47\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u3057\u305f\u304c\u3063\u3066\u3001\u8a08\u753b\u306e\u6697\u9ed9\u7684\u307e\u305f\u306f\u4e00\u822c\u65b9\u7a0b\u5f0f\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-cde6db2f935eb7d0ad39141f86aab013_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{3x-y+2z+1 = 0}\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"153\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejercicios-resueltos-de-la-ecuacion-implicita-o-general-del-plano\"><\/span>\u5e73\u9762\u306e\u9670\u7684\u65b9\u7a0b\u5f0f\u307e\u305f\u306f\u4e00\u822c\u65b9\u7a0b\u5f0f\u306e\u89e3\u6c7a\u6e08\u307f\u554f\u984c<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<h3 class=\"wp-block-heading\">\u6f14\u7fd2 1<\/h3>\n<p>\u70b9\u3092\u901a\u904e\u3059\u308b\u5e73\u9762\u306e\u9670\u7684\u65b9\u7a0b\u5f0f\u307e\u305f\u306f\u4e00\u822c\u65b9\u7a0b\u5f0f\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-b61f338575699a918d594595ddc6fb02_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(-2,1,3)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"83\" style=\"vertical-align: -5px;\"><\/p>\n<p>\u30d9\u30af\u30c8\u30eb\u304c\u542b\u307e\u308c\u3066\u3044\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-5150cc543174c7c079a38b016685eb3b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{\\text{u}}=(4,1,3)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"89\" 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-0664398c6f1938e4ec5efaae48ab1c70_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{\\text{v}}=(5,3,-1).\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"107\" style=\"vertical-align: -5px;\"><\/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\">\u5e73\u9762\u306e\u4e00\u822c\u65b9\u7a0b\u5f0f\u307e\u305f\u306f\u9670\u7684\u65b9\u7a0b\u5f0f\u3092\u8a08\u7b97\u3059\u308b\u306b\u306f\u30012 \u3064\u306e\u30d9\u30af\u30c8\u30eb\u30013 \u3064\u306e\u5909\u6570\u3001\u304a\u3088\u3073\u70b9\u306e\u5ea7\u6a19\u306b\u3088\u3063\u3066\u5f62\u6210\u3055\u308c\u308b\u6b21\u306e\u884c\u5217\u5f0f\u3092\u89e3\u304f\u5fc5\u8981\u304c\u3042\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-917f1770ff2a17897e5df76998ec3519_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\begin{vmatrix}\\text{u}_x &amp; \\text{v}_x &amp; x-P_x \\\\[1.1ex]\\text{u}_y &amp; \\text{v}_y &amp; y-P_y \\\\[1.1ex]\\text{u}_z &amp; \\text{v}_z &amp; z-P_z \\end{vmatrix} =0\" title=\"Rendered by QuickLaTeX.com\" height=\"86\" width=\"163\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u3057\u305f\u304c\u3063\u3066\u3001\u30d9\u30af\u30c8\u30eb\u3068\u70b9\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-02e103601cd9992a8a8c087d016a08c1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\begin{vmatrix}4 &amp; 5 &amp; x+2 \\\\[1.1ex]1 &amp; 3 &amp; y-1 \\\\[1.1ex]3&amp; 1 &amp; z+1 \\end{vmatrix} =0\" title=\"Rendered by QuickLaTeX.com\" height=\"86\" width=\"133\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u6b21\u306b\u3001\u9078\u629e\u3057\u305f\u65b9\u6cd5\u3067 3\u00d73 \u884c\u5217\u306e\u884c\u5217\u5f0f\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-ec35e71b9cca25aa9907c97da2ea2e2c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"12(z+1)+15(y-1)+1(x+2)-9(x+2)-4(y-1)-5(z+1) = 0\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"534\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u6700\u5f8c\u306b\u3001\u64cd\u4f5c\u3092\u5b9f\u884c\u3057\u3066\u3001\u985e\u4f3c\u3057\u305f\u7528\u8a9e\u3092\u30b0\u30eb\u30fc\u30d7\u5316\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-fea5513ce57c88cac89a695b47b7a0c4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"-8(x+2)+11(y-1)+7(z+1) = 0\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"286\" 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-b965060b2baad7f1b7fa66e0555a23f8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"-8x-16+11y-11+7z+7=0\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"262\" style=\"vertical-align: -4px;\"><\/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-52635b24c2d396ff9a47fbd210c56bc4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"-8x+11y+7z-20= 0\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"192\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u3057\u305f\u304c\u3063\u3066\u3001\u8a08\u753b\u306e\u6697\u9ed9\u7684\u307e\u305f\u306f\u4e00\u822c\u65b9\u7a0b\u5f0f\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-fc97887dad7e25ff823eee155fb58358_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{-8x+11y+7z-20 = 0}\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"192\" style=\"vertical-align: -4px;\"><\/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>\u30dd\u30a4\u30f3\u30c8\u304b\u3069\u3046\u304b\u3092\u5224\u65ad\u3059\u308b<\/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-10de27107c1cf63dc889433e271d4a78_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(-1,5,-3)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"97\" style=\"vertical-align: -5px;\"><\/p>\n<p>\u4ee5\u4e0b\u306e\u30d7\u30e9\u30f3\u306b\u5c5e\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-54a545de55c14f27d77bfda0188789a4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\pi : \\ 2x+y+6z-5=0\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"184\" 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\">\u70b9\u304c\u5e73\u9762\u4e0a\u306b\u3042\u308b\u305f\u3081\u306b\u306f\u3001\u305d\u306e\u65b9\u7a0b\u5f0f\u3092\u691c\u8a3c\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u70b9\u306e\u30c7\u30ab\u30eb\u30c8\u5ea7\u6a19\u3092\u5e73\u9762\u306e\u65b9\u7a0b\u5f0f\u306b\u4ee3\u5165\u3057\u3001\u65b9\u7a0b\u5f0f\u304c\u6e80\u305f\u3055\u308c\u308b\u304b\u3069\u3046\u304b\u3092\u78ba\u8a8d\u3059\u308b\u5fc5\u8981\u304c\u3042\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-25ef56f6218537e6592c6ce17e0c3cb0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"2x+y+6z-5=0\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"153\" style=\"vertical-align: -4px;\"><\/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-10de27107c1cf63dc889433e271d4a78_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(-1,5,-3)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"97\" 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-b30e787cb2dfac5e87b0758b866e10a7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"2\\cdot (-1)+5+6\\cdot (-3)-5=0\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"232\" 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-66acebc4d56a2fb70fe23b2ead99dcc8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"-2+5-18-5=0\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"155\" style=\"vertical-align: -2px;\"><\/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-64706704bc6f3ef930293722159a8861_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"-20\\neq 0\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"63\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u70b9\u306f\u5e73\u9762\u306e\u65b9\u7a0b\u5f0f\u3092\u5c0a\u91cd\u3057\u306a\u3044<strong>\u305f\u3081\u3001\u3053\u306e\u5e73\u9762\u306e\u4e00\u90e8\u3067\u306f\u3042\u308a\u307e\u305b\u3093\u3002<\/strong><\/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 3 \u3064\u306e\u70b9\u3092\u542b\u3080\u8a08\u753b\u306e\u6697\u9ed9\u7684\u306a (\u307e\u305f\u306f\u4e00\u822c\u7684\u306a) \u65b9\u7a0b\u5f0f\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-c3003c4a812ae18bebda7f61c0bbe5f2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"A(5,-1,-2) \\qquad B(2,1,3) \\qquad C(4,1,-2)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"322\" style=\"vertical-align: -5px;\"><\/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\">\u5e73\u9762\u306e\u6697\u9ed9\u7684\u306a\u65b9\u7a0b\u5f0f\u3092\u898b\u3064\u3051\u308b\u306b\u306f\u3001\u5e73\u9762\u5185\u3067\u7d50\u5408\u3059\u308b 2 \u3064\u306e\u7dda\u5f62\u306b\u72ec\u7acb\u3057\u305f\u30d9\u30af\u30c8\u30eb\u3092\u898b\u3064\u3051\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002\u305d\u3057\u3066\u3001\u3053\u306e\u305f\u3081\u306b\u30013 \u3064\u306e\u70b9\u306b\u3088\u3063\u3066\u5b9a\u7fa9\u3055\u308c\u308b 2 \u3064\u306e\u30d9\u30af\u30c8\u30eb\u3092\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-f96add9ffd85a60c66b7b40a65192537_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{AB} = B - A = (2,1,3) - (5,-1,-2) = (-3,2,5)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"379\" 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-09c96a38b66a9b0108da71a2c7ea0b2b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{AC} = C - A = (4,1,-2) - (5,-1,-2) = (-1,2,0)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"392\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u898b\u3064\u304b\u3063\u305f 2 \u3064\u306e\u30d9\u30af\u30c8\u30eb\u306e\u5ea7\u6a19\u306f\u6bd4\u4f8b\u3057\u3066\u3044\u306a\u3044\u305f\u3081\u3001\u5b9f\u8cea\u7684\u306b\u4e92\u3044\u306b\u7dda\u5f62\u72ec\u7acb\u3057\u3066\u3044\u307e\u3059\u3002<\/p>\n<p class=\"has-text-align-left\">\u3053\u308c\u3067\u3001\u5e73\u9762\u306e 2 \u3064\u306e\u65b9\u5411\u30d9\u30af\u30c8\u30eb\u3068 1 \u3064\u306e\u70b9\u304c\u3059\u3067\u306b\u308f\u304b\u3063\u3066\u3044\u308b\u306e\u3067\u3001\u5e73\u9762\u306e\u4e00\u822c\u65b9\u7a0b\u5f0f\u306e\u516c\u5f0f\u3092\u3059\u3067\u306b\u9069\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-917f1770ff2a17897e5df76998ec3519_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\begin{vmatrix}\\text{u}_x &amp; \\text{v}_x &amp; x-P_x \\\\[1.1ex]\\text{u}_y &amp; \\text{v}_y &amp; y-P_y \\\\[1.1ex]\\text{u}_z &amp; \\text{v}_z &amp; z-P_z \\end{vmatrix} =0\" title=\"Rendered by QuickLaTeX.com\" height=\"86\" width=\"163\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u30d9\u30af\u30c8\u30eb\u3068 3 \u3064\u306e\u70b9\u306e 1 \u3064\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-383093e607bc8ecc5f99e1815242b22a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\begin{vmatrix}-3 &amp; -1 &amp; x-5 \\\\[1.1ex]2 &amp; 2 &amp; y+1 \\\\[1.1ex]5&amp; 0 &amp; z+2 \\end{vmatrix} =0\" title=\"Rendered by QuickLaTeX.com\" height=\"86\" width=\"161\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u305d\u3057\u3066\u6700\u5f8c\u306b\u3001\u884c\u5217\u5f0f\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-a3d7401055c280280af3a3d0486cdb86_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"-6(z+2)-5(y+1)-10(x-5)+2(z+2)=0\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"370\" 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-4e355f06e9bd200804e0a37e059a389c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"-10(x-5)-5(y+1)-4(z+2)=0\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"286\" 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-0f005d4a2fdd910e746e7231a1c83f61_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"-10x+50-5y-5-4z-8=0\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"253\" style=\"vertical-align: -4px;\"><\/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-7653b13f379b9d38230f457c59d1a568_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"-10x-5y-4z+37=0\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"192\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u3064\u307e\u308a\u3001\u554f\u984c\u306e\u5e73\u9762\u306e\u6697\u9ed9\u7684\u306a\u4e00\u822c\u65b9\u7a0b\u5f0f\u307e\u305f\u306f\u30c7\u30ab\u30eb\u30c8\u65b9\u7a0b\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-ac148d30ada4a3e256874712b4b196db_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{-10x-5y-4z+37=0}\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"192\" style=\"vertical-align: -4px;\"><\/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<div class=\"wp-block-group\">\n<div class=\"wp-block-group__inner-container is-layout-flow\">\n<p>\u70b9\u3092\u901a\u904e\u3059\u308b\u7a7a\u9593\u5185\u306e\u5e73\u9762\u306e\u9670\u7684\u65b9\u7a0b\u5f0f\u307e\u305f\u306f\u4e00\u822c\u65b9\u7a0b\u5f0f\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-e42bc8fa114f50a19858a526eabb6e30_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(3,4,-3)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"83\" style=\"vertical-align: -5px;\"><\/p>\n<p>\u305d\u306e\u6cd5\u7dda\u30d9\u30af\u30c8\u30eb\u306e 1 \u3064\u306f\u3001 <\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-b007924d3ec5c7cd5de5d1d46cc86711_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{n}=(5,-2,-3) .\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"122\" style=\"vertical-align: -5px;\"><\/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\">\u5e73\u9762\u306e\u9670\u7684\u306a\u4e00\u822c\u65b9\u7a0b\u5f0f\u307e\u305f\u306f\u30c7\u30ab\u30eb\u30c8\u65b9\u7a0b\u5f0f\u306e\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-27e298e3103f917bd81b20315b6d9025_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Ax+By+Cz+D=0\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"183\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u3055\u3066\u3001\u6cd5\u7dda\u30d9\u30af\u30c8\u30eb\u304b\u3089\u4fc2\u6570 A\u3001B\u3001C \u3092\u898b\u3064\u3051\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u3053\u308c\u3089\u306f\u305d\u308c\u305e\u308c\u6cd5\u7dda\u30d9\u30af\u30c8\u30eb\u306e\u6210\u5206\u306b\u7b49\u3057\u3044\u305f\u3081\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-8f4b71cc8d8c1610a5d5706ac44d1ad3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{n}=(5,-2,-3) \\ \\longrightarrow \\ 5x-2y-3z+D=0\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"336\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u3057\u305f\u304c\u3063\u3066\u3001\u30d1\u30e9\u30e1\u30fc\u30bf\u30fc D \u3092\u898b\u3064\u3051\u308b\u3060\u3051\u3067\u6e08\u307f\u307e\u3059\u3002\u3053\u308c\u3092\u884c\u3046\u306b\u306f\u3001\u5e73\u9762\u306b\u5c5e\u3059\u308b\u70b9\u306e\u5ea7\u6a19\u3092\u65b9\u7a0b\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-e42bc8fa114f50a19858a526eabb6e30_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(3,4,-3)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"83\" 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-720c689bc073e6c0f865bf406d92cbba_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"5\\cdot 3-2\\cdot 4-3\\cdot (-3)+D=0\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"232\" 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-3edf41b26a3b9c8bdead74d05767ec60_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"15-8+9+D=0\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"147\" style=\"vertical-align: -2px;\"><\/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-0db457697a3637eb92bff90460d8e98f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"16+D=0\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"86\" style=\"vertical-align: -2px;\"><\/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-a2efb3d90e15e4474268d6de0570da4b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"D=-16\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"71\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u7d50\u8ad6\u3068\u3057\u3066\u3001\u8a08\u753b\u306e\u6697\u9ed9\u7684\u307e\u305f\u306f\u4e00\u822c\u65b9\u7a0b\u5f0f\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-ee0c114a24764dd24df9d58aab7155ab_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{5x-2y-3z-16 = 0}\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"170\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>\u4e00\u822c\u65b9\u7a0b\u5f0f\u307e\u305f\u306f\u30c7\u30ab\u30eb\u30c8\u65b9\u7a0b\u5f0f\u3068\u3082\u547c\u3070\u308c\u308b\u3001\u6697\u9ed9\u7684\u306a\u5e73\u9762\u65b9\u7a0b\u5f0f (\u516c\u5f0f) \u306e\u8a08\u7b97\u65b9\u6cd5\u306e\u8aac\u660e\u3002\u3055\u3089\u306b\u3001\u6cd5\u7dda\u30d9\u30af\u30c8\u30eb\u304b\u3089\u5e73\u9762\u306e\u65b9\u7a0b\u5f0f\u3092\u898b\u3064\u3051\u308b\u65b9\u6cd5\u3082\u308f\u304b\u308a\u307e\u3059\u3002\u3055\u3089\u306b\u3001\u4f8b\u984c\u3084\u6f14\u7fd2\u3092\u6bb5\u968e\u7684\u306b\u89e3\u304f\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002 \u8a08\u753b\u306e\u6697\u9ed9\u7684\u306a &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/ja\/%e5%b9%b3%e9%9d%a2%e3%81%ae%e6%9a%97%e9%bb%99%e7%9a%84%e3%81%aa%e4%b8%80%e8%88%ac%e6%96%b9%e7%a8%8b%e5%bc%8f%e3%81%be%e3%81%9f%e3%81%af%e3%83%87%e3%82%ab%e3%83%ab%e3%83%88%e6%96%b9%e7%a8%8b%e5%bc%8f\/\"> <span class=\"screen-reader-text\">\u5e73\u9762\u306e\u6697\u9ed9\u7684\u306a\u4e00\u822c\u65b9\u7a0b\u5f0f\u307e\u305f\u306f\u30c7\u30ab\u30eb\u30c8\u65b9\u7a0b\u5f0f<\/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-245","post","type-post","status-publish","format-standard","hentry","category-15"],"yoast_head":"<!-- This site is optimized 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