{"id":265,"date":"2023-07-10T04:04:14","date_gmt":"2023-07-10T04:04:14","guid":{"rendered":"https:\/\/mathority.org\/ja\/%e5%b9%b3%e9%9d%a2%e3%82%b8%e3%82%aa%e3%83%a1%e3%83%88%e3%83%aa\/"},"modified":"2023-07-10T04:04:14","modified_gmt":"2023-07-10T04:04:14","slug":"%e5%b9%b3%e9%9d%a2%e3%82%b8%e3%82%aa%e3%83%a1%e3%83%88%e3%83%aa","status":"publish","type":"post","link":"https:\/\/mathority.org\/ja\/%e5%b9%b3%e9%9d%a2%e3%82%b8%e3%82%aa%e3%83%a1%e3%83%88%e3%83%aa\/","title":{"rendered":"\u5e73\u9762\uff08\u5e7e\u4f55\u5b66\uff09"},"content":{"rendered":"<p>\u3053\u306e\u30da\u30fc\u30b8\u3067\u306f\u3001\u5e73\u9762\u3068\u306f\u4f55\u304b\u3001\u5e73\u9762\u306e\u8a08\u7b97\u65b9\u6cd5\u3001\u304a\u3088\u3073\u305d\u306e\u3059\u3079\u3066\u306e\u30d7\u30ed\u30d1\u30c6\u30a3\u306b\u3064\u3044\u3066\u8aac\u660e\u3057\u307e\u3059\u3002\u3055\u3089\u306b\u3001\u5e73\u9762\u306e\u4f8b\u30012 \u3064\u306e\u5e73\u9762\u9593\u306e\u76f8\u5bfe\u4f4d\u7f6e\u30012 \u3064\u306e\u5e73\u9762\u9593\u306e\u89d2\u5ea6\u3092\u6c7a\u5b9a\u3059\u308b\u65b9\u6cd5\u3001\u305d\u3057\u3066\u6700\u5f8c\u306b\u3001\u5e73\u9762\u65b9\u7a0b\u5f0f\u3092\u4f7f\u7528\u3057\u3066\u4efb\u610f\u306e\u5e73\u9762\u3092\u6570\u5024\u3067\u8868\u73fe\u3059\u308b\u65b9\u6cd5\u3092\u78ba\u8a8d\u3067\u304d\u307e\u3059\u3002<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfque-es-un-plano\"><\/span>\u8a08\u753b\u3068\u306f\u4f55\u3067\u3059\u304b?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u89e3\u6790\u5e7e\u4f55\u5b66\u306b\u304a\u3051\u308b\u5e73\u9762\u306e\u5b9a\u7fa9\u306f\u6b21\u306e\u3068\u304a\u308a\u3067\u3059\u3002<\/p>\n<p><strong>\u5e73\u9762\u306f\u30012 \u3064\u306e\u6b21\u5143 (\u9577\u3055\u3068\u5e45) \u3092\u6301\u3064\u5e7e\u4f55\u5b66\u7684\u30aa\u30d6\u30b8\u30a7\u30af\u30c8\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\/quel-est-l-avion.webp\" alt=\"\u30c7\u30ab\u30eb\u30c8\u5e73\u9762\u3068\u306f\u4f55\u3067\u3059\u304b\" class=\"wp-image-3433\" width=\"417\" height=\"203\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p>\u3057\u305f\u304c\u3063\u3066\u3001\u5e73\u9762\u306b\u306f\u7121\u9650\u306e\u7dda\u3068\u7121\u9650\u306e\u70b9\u304c\u542b\u307e\u308c\u307e\u3059\u3002\u4e0a\u306e\u30b0\u30e9\u30d5\u8868\u793a\u3067\u306f\u3001\u5e73\u9762\u3001\u7dda\u3001\u70b9\u306e\u9055\u3044\u304c\u308f\u304b\u308a\u307e\u3059\u3002\u6b21\u306e\u884c\u3092\u78ba\u8a8d\u3059\u308b\u3053\u3068\u3082\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-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>\u305d\u3057\u3066\u5148\u7aef<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-650eb7688af6737ac325425b5c9a5982_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"14\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u98db\u884c\u6a5f\u306e\u4e2d\u306b\u542b\u307e\u308c\u3066\u3044\u308b<\/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>\u30b0\u30e9\u30d5\u5316\u3055\u308c\u305f\u8a08\u753b\u304b\u3089\u308f\u304b\u308b\u3088\u3046\u306b\u3001\u8a08\u753b\u306b\u306f\u901a\u5e38\u30ae\u30ea\u30b7\u30e3\u6587\u5b57\u3067\u540d\u524d\u304c\u4ed8\u3051\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-fdef793ea5450647d6139c80d45be77a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\pi, \\alpha, \\beta,...\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"71\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p>\u6570\u5b66\u3067\u3088\u304f\u4f7f\u7528\u3055\u308c\u308b\u5e73\u9762\u306e\u4f8b\u306f\u3001\u30c7\u30ab\u30eb\u30c8\u5e73\u9762\u3067\u3059\u3002\u30c7\u30ab\u30eb\u30c8\u5e73\u9762\u306f\u3001\u6a2a\u8ef8 (X \u8ef8) \u3068\u7e26\u8ef8 (Y \u8ef8) \u306b\u3088\u3063\u3066\u5b9a\u7fa9\u3055\u308c\u308b\u5e73\u9762\u3067\u3059\u3002\u30c7\u30ab\u30eb\u30c8\u5e73\u9762\u306e\u7528\u9014\u306e 1 \u3064\u306f\u3001\u57fa\u6e96\u7cfb\u5185\u306e\u30aa\u30d6\u30b8\u30a7\u30af\u30c8\u306e\u4f4d\u7f6e\u3092\u8a18\u8ff0\u3059\u308b\u305f\u3081\u306b\u4f7f\u7528\u3055\u308c\u308b\u3053\u3068\u3067\u3059\u3002<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"determinacion-de-un-plano\"><\/span>\u8a08\u753b\u3092\u7acb\u3066\u308b<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u5e73\u9762\u306e\u610f\u5473\u3092\u7406\u89e3\u3057\u305f\u306e\u3067\u30013 \u6b21\u5143\u7a7a\u9593 (R3) \u5185\u306e\u4efb\u610f\u306e\u5e73\u9762\u3092\u3069\u306e\u3088\u3046\u306b\u6c7a\u5b9a\u3067\u304d\u308b\u304b\u3092\u898b\u3066\u307f\u307e\u3057\u3087\u3046\u3002<\/p>\n<p>\u8a08\u753b\u306f\u3001\u6b21\u306e\u5e7e\u4f55\u5b66\u7684\u8981\u7d20\u306b\u3088\u3063\u3066\u5b8c\u5168\u306b\u6c7a\u5b9a\u3055\u308c\u307e\u3059\u3002<\/p>\n<ul>\n<li> 3\u3064\u306e\u70b9\u304c\u63c3\u3063\u3066\u3044\u307e\u305b\u3093\u3002<\/li>\n<li>\u76f4\u7dda\u3068\u5916\u5074\u306e\u70b9\u3002<\/li>\n<li> 2 \u672c\u306e\u5e73\u884c\u306a\u7dda\u3001\u307e\u305f\u306f 2 \u672c\u306e\u4ea4\u5dee\u3059\u308b\u7dda\u3002<\/li>\n<\/ul>\n<p>\u6700\u5f8c\u306e\u70b9\u306b\u3064\u3044\u3066\u306f\u30012 \u672c\u306e\u7dda\u304c\u5e73\u884c\u3067\u3042\u308b\u3053\u3068\u304c\u4f55\u3092\u610f\u5473\u3059\u308b\u304b\u306f\u304a\u305d\u3089\u304f\u3059\u3067\u306b\u3054\u5b58\u77e5\u3067\u3057\u3087\u3046\u3002\u305f\u3060\u3057\u3001\u5272\u7dda\u306e\u610f\u5473\u306f\u3042\u307e\u308a\u77e5\u3089\u308c\u3066\u3044\u306a\u3044\u305f\u3081\u3001\u8cea\u554f\u304c\u3042\u308b\u5834\u5408\u306f\u3001 <a href=\"https:\/\/mathority.org\/ja\/\u4ea4\u5dee\u3059\u308b\u7dda\u306e\u4f8b\/\">\u300c\u5272\u7dda\u3068\u306f\u300d\u3092<\/a>\u53c2\u7167\u3057\u3066\u304f\u3060\u3055\u3044\u3002<\/p>\n<p>\u3057\u305f\u304c\u3063\u3066\u3001\u4e0a\u8a18\u306e 3 \u3064\u306e\u6761\u4ef6\u306e\u3044\u305a\u308c\u304b\u304c\u6e80\u305f\u3055\u308c\u3066\u3044\u308c\u3070\u3001\u8a08\u753b\u3092\u7acb\u3066\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"propiedades-del-plano\"><\/span>\u30d7\u30e9\u30f3\u306e\u30d7\u30ed\u30d1\u30c6\u30a3<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u3053\u306e\u8a08\u753b\u306f\u6b21\u306e\u7279\u6027\u3092\u6e80\u305f\u3057\u3066\u3044\u307e\u3059\u3002<\/p>\n<ul>\n<li>\u5e73\u9762\u306b\u306f\u7121\u6570\u306e\u70b9\u304c\u542b\u307e\u308c\u307e\u3059\u3002<\/li>\n<li>\u5e73\u9762\u306b\u306f\u7121\u9650\u306e\u7dda\u304c\u542b\u307e\u308c\u3066\u3044\u307e\u3059\u3002<\/li>\n<li>\u5e73\u9762\u306f\u7121\u9650\u3067\u3059\u3002\u3064\u307e\u308a\u3001\u305d\u308c\u306f\u7a7a\u9593\u306b\u7121\u5236\u9650\u306b\u5e83\u304c\u308b\u9762\u3067\u3059\u3002<\/li>\n<li> 2 \u3064\u306e\u4ea4\u5dee\u3059\u308b\u5e73\u9762\u306b\u3088\u3063\u3066\u7dda\u304c\u6c7a\u307e\u308a\u307e\u3059\u3002<\/li>\n<li>\u5e73\u9762\u5185\u306b\u70b9\u3092\u6301\u3064\u7dda\u306f\u3001\u5fc5\u305a\u3057\u3082\u305d\u3053\u306b\u542b\u307e\u308c\u308b\u3068\u306f\u9650\u308a\u307e\u305b\u3093\u3002\u7dda\u304c\u5e73\u9762\u306e\u4e00\u90e8\u3067\u3042\u308b\u305f\u3081\u306b\u306f\u3001\u305d\u306e\u5e73\u9762\u5185\u306b\u5c11\u306a\u304f\u3068\u3082 2 \u3064\u306e\u70b9\u304c\u306a\u3051\u308c\u3070\u306a\u308a\u307e\u305b\u3093\u3002<\/li>\n<li>\u7121\u9650\u306e\u5e73\u9762\u304c\u76f4\u7dda\u3092\u6a2a\u5207\u308a\u307e\u3059\u3002<\/li>\n<li>\u534a\u5e73\u9762\u3068\u306f\u3001\u5e73\u9762\u3092\u7dda\u306e 1 \u3064\u3067\u5207\u65ad\u3057\u305f\u3068\u304d\u306b\u5206\u5272\u3055\u308c\u308b 2 \u3064\u306e\u90e8\u5206\u306e\u305d\u308c\u305e\u308c\u3067\u3059\u3002 <\/li>\n<\/ul>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ecuaciones-del-plano\"><\/span>\u5e73\u9762\u65b9\u7a0b\u5f0f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u89e3\u6790\u5e7e\u4f55\u5b66\u306b\u304a\u3044\u3066\u3001<strong>\u5e73\u9762\u306e\u65b9\u7a0b\u5f0f\u306f<\/strong>\u3001\u4efb\u610f\u306e\u5e73\u9762\u3092\u6570\u5b66\u7684\u306b\u8868\u73fe\u3067\u304d\u308b\u65b9\u7a0b\u5f0f\u3067\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u5e73\u9762\u306e\u65b9\u7a0b\u5f0f\u3092\u898b\u3064\u3051\u308b\u306b\u306f\u30011 \u3064\u306e\u70b9\u3068\u3001\u305d\u306e\u5e73\u9762\u306b\u5c5e\u3059\u308b 2 \u3064\u306e\u7dda\u5f62\u306b\u72ec\u7acb\u3057\u305f\u30d9\u30af\u30c8\u30eb\u306e\u307f\u304c\u5fc5\u8981\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=\"\u30aa\u30f3\u30e9\u30a4\u30f3\u3067\u306exy\u5e73\u9762\u65b9\u7a0b\u5f0f\" class=\"wp-image-2443\" width=\"404\" height=\"142\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p>\u305f\u3060\u3057\u3001\u4e0a\u8a18\u306e\u8a08\u753b\u306e\u6982\u5ff5\u306e\u8aac\u660e\u3067\u898b\u305f\u3088\u3046\u306b\u3001\u8a08\u753b\u3092\u6c7a\u5b9a\u3059\u308b\u306b\u306f\u3044\u304f\u3064\u304b\u306e\u65b9\u6cd5\u304c\u3042\u308a\u307e\u3059\u3002\u307e\u3042\u3001\u540c\u3058\u3088\u3046\u306b\u3001\u8a08\u753b\u3092\u5206\u6790\u7684\u306b\u8868\u73fe\u3059\u308b\u306b\u3082\u3055\u307e\u3056\u307e\u306a\u65b9\u6cd5\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n<p>\u3057\u305f\u304c\u3063\u3066\u3001\u5e73\u9762\u306e\u3059\u3079\u3066\u306e\u30bf\u30a4\u30d7\u306e\u65b9\u7a0b\u5f0f\u306f\u3001<strong>\u5e73\u9762\u306e\u30d9\u30af\u30c8\u30eb\u65b9\u7a0b\u5f0f<\/strong>\u3001<strong>\u30d1\u30e9\u30e1\u30c8\u30ea\u30c3\u30af\u65b9\u7a0b\u5f0f<\/strong>\u3001<strong>\u9670\u7684 (\u307e\u305f\u306f\u4e00\u822c) \u65b9\u7a0b\u5f0f<\/strong>\u3001\u304a\u3088\u3073<strong>\u5e73\u9762\u306e\u6b63\u6e96 (\u307e\u305f\u306f\u90e8\u5206) \u65b9\u7a0b\u5f0f<\/strong>\u3067\u3059\u3002<\/p>\n<p>\u6b21\u306b\u3001\u8a08\u753b\u306e\u3059\u3079\u3066\u306e\u65b9\u7a0b\u5f0f\u306e\u8aac\u660e\u3068\u516c\u5f0f\u3092\u8a73\u3057\u304f\u898b\u3066\u3044\u304d\u307e\u3059\u3002 <\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ecuacion-vectorial-del-plano\"><\/span>\u5e73\u9762\u306e\u30d9\u30af\u30c8\u30eb\u65b9\u7a0b\u5f0f<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\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><strong>\u5e73\u9762\u306e\u30d9\u30af\u30c8\u30eb\u65b9\u7a0b\u5f0f\u306e\u516c\u5f0f\u306f\u6b21<\/strong>\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-d9227901692832cb0c176a896d35e896_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\definecolor{taronjaquadreejemplo}{HTML}{FF9800}  \\newtcbox{\\mymath}[1][]{%     nobeforeafter, math upper, tcbox raise base,     enhanced, colframe=taronjaquadreejemplo,      boxrule=1.1pt, boxsep=2mm,     #1} \\begin{empheq}[box={\\mymath[colback=white, shadow={2mm}{-2mm}{0mm}{taronjaquadreejemplo!20!white,} ]}]{equation*}      (x,y,z)=P+\\lambda \\vv{\\text{u}} + \\mu \\vv{\\text{v}} \\end{empheq}\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"329\" style=\"vertical-align: -5px;\"><\/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-78b41d21b63c22ec05d3f93576a897e0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(x,y,z)=(P_x,P_y,P_z)+\\lambda (\\text{u}_x,\\text{u}_y,\\text{u}_z) + \\mu (\\text{v}_x,\\text{v}_y,\\text{v}_z)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"398\" style=\"vertical-align: -6px;\"><\/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-2b5c45836864531b8e37025dabadd24a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\lambda\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" 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-461fe1a58a75801541487ddf10d32abd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\mu\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"11\" style=\"vertical-align: -4px;\"><\/p>\n<p>\u306f 2 \u3064\u306e\u30b9\u30ab\u30e9\u30fc\u3001\u3064\u307e\u308a 2 \u3064\u306e\u5b9f\u6570\u3067\u3059\u3002 <\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ecuaciones-parametricas-del-plano\"><\/span>\u5e73\u9762\u306e\u30d1\u30e9\u30e1\u30c8\u30ea\u30c3\u30af\u65b9\u7a0b\u5f0f<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><strong>\u5e73\u9762\u306e\u30d1\u30e9\u30e1\u30c8\u30ea\u30c3\u30af\u65b9\u7a0b\u5f0f<\/strong>\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-e1791802331aa9973126b3d7c7f1b716_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\definecolor{taronjaquadreejemplo}{HTML}{FF9800}  \\newtcbox{\\mymath}[1][]{%     nobeforeafter, math upper, tcbox raise base,     enhanced, colframe=taronjaquadreejemplo,      boxrule=1.1pt, boxsep=2mm,     #1} \\begin{empheq}[box={\\mymath[colback=white, shadow={2mm}{-2mm}{0mm}{taronjaquadreejemplo!20!white,} ]}]{equation*}      \\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} \\end{empheq}\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"313\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u91d1\uff1a<\/p>\n<ul>\n<li>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-2b5c45836864531b8e37025dabadd24a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\lambda\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" 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-461fe1a58a75801541487ddf10d32abd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\mu\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"11\" style=\"vertical-align: -4px;\"><\/p>\n<p>\u306f 2 \u3064\u306e\u30b9\u30ab\u30e9\u30fc\u3001\u3064\u307e\u308a 2 \u3064\u306e\u5b9f\u6570\u3067\u3059\u3002<\/li>\n<li>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-0b77e9af6839a6bc60da39dd1798dd6f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{u}_x,\\text{u}_y,\\text{u}_z\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"69\" style=\"vertical-align: -6px;\"><\/p>\n<p>\u8a08\u753b\u306e 2 \u3064\u306e\u8a98\u5c0e\u30d9\u30af\u30c8\u30eb\u306e\u3046\u3061\u306e 1 \u3064\u306e\u30b3\u30f3\u30dd\u30fc\u30cd\u30f3\u30c8\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-b8a3eef2109d6a80a337c88337a1443e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{\\text{u}}=(\\text{u}_x,\\text{u}_y,\\text{u}_z).\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"121\" style=\"vertical-align: -6px;\"><\/p>\n<\/li>\n<li>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f61b32275ccdbca7f8d5e0b3c750dd35_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{v}_x,\\text{v}_y,\\text{v}_z\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"67\" style=\"vertical-align: -6px;\"><\/p>\n<p>\u8a08\u753b\u306e\u4ed6\u306e\u65b9\u5411\u30d9\u30af\u30c8\u30eb\u306e\u69cb\u6210\u8981\u7d20\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-75c6a57a037206319f16dec389993ded_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{\\text{v}}=(\\text{v}_x,\\text{v}_y,\\text{v}_z).\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"119\" style=\"vertical-align: -6px;\"><\/p>\n<\/li>\n<\/ul>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ecuacion-implicita-o-general-del-plano\"><\/span>\u5e73\u9762\u306e\u6697\u9ed9\u7684\u307e\u305f\u306f\u4e00\u822c\u65b9\u7a0b\u5f0f<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\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>\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>\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-7dcacf16123986ecd33dace4f4411914_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\definecolor{taronjaquadreejemplo}{HTML}{FF9800}  \\newtcbox{\\mymath}[1][]{%     nobeforeafter, math upper, tcbox raise base,     enhanced, colframe=taronjaquadreejemplo,      boxrule=1.1pt, boxsep=2mm,     #1} \\begin{empheq}[box={\\mymath[colback=white, shadow={2mm}{-2mm}{0mm}{taronjaquadreejemplo!20!white,} ]}]{equation*}      \\displaystyle Ax+By+Cz+D=0 \\end{empheq}\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"329\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u3053\u306e\u30bf\u30a4\u30d7\u306e\u5e73\u9762\u65b9\u7a0b\u5f0f\u306f\u3001\u30c7\u30ab\u30eb\u30c8\u5e73\u9762\u65b9\u7a0b\u5f0f\u3068\u3082\u547c\u3070\u308c\u307e\u3059\u3002 <\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ecuacion-canonica-o-segmentaria-del-plano\"><\/span>\u5e73\u9762\u306e\u6b63\u6e96\u65b9\u7a0b\u5f0f\u307e\u305f\u306f\u90e8\u5206\u65b9\u7a0b\u5f0f<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><strong>\u5e73\u9762\u306e\u6b63\u6e96\u65b9\u7a0b\u5f0f\u307e\u305f\u306f\u90e8\u5206\u65b9\u7a0b\u5f0f\u306e\u5f0f<\/strong>\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-7c19853d465a703aa398bde04fa3222c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\definecolor{taronjaquadreejemplo}{HTML}{FF9800}  \\newtcbox{\\mymath}[1][]{%     nobeforeafter, math upper, tcbox raise base,     enhanced, colframe=taronjaquadreejemplo,      boxrule=1.1pt, boxsep=2mm,     #1} \\begin{empheq}[box={\\mymath[colback=white, shadow={2mm}{-2mm}{0mm}{taronjaquadreejemplo!20!white,} ]}]{equation*}      \\displaystyle \\cfrac{x}{a}+\\cfrac{y}{b} + \\cfrac{z}{c} = 1  \\end{empheq}\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"329\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u91d1\uff1a<\/p>\n<ul>\n<li>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-5c53d6ebabdbcfa4e107550ea60b1b19_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"a\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"9\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u306f\u5e73\u9762\u3068 X \u8ef8\u306e\u4ea4\u70b9\u3067\u3059\u3002<\/li>\n<li>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f56d50c26583f9a035ff6b4e3c0ca5c0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"b\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"8\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u306f\u5e73\u9762\u3068 Y \u8ef8\u306e\u4ea4\u70b9\u3067\u3059\u3002<\/li>\n<li>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-41a04eeea923a1a0c28094a8a4680525_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"c\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"8\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u3053\u308c\u306f\u3001\u5e73\u9762\u304c Z \u8ef8\u3068\u4ea4\u5dee\u3059\u308b\u5834\u6240\u3067\u3059\u3002 <\/li>\n<\/ul>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><\/figure>\n<\/div>\n<p>\u5e73\u9762\u306e\u6b63\u6e96\u65b9\u7a0b\u5f0f (\u307e\u305f\u306f\u90e8\u5206\u65b9\u7a0b\u5f0f) \u306f\u3001\u305d\u306e\u4e00\u822c\u65b9\u7a0b\u5f0f\u304b\u3089\u53d6\u5f97\u3059\u308b\u3053\u3068\u3082\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-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>\u307e\u305a\u3001\u6b21\u306e\u65b9\u7a0b\u5f0f\u304b\u3089\u4fc2\u6570 D \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-7e6829185741f883a29bf004cbf570a7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Ax+By+Cz=-D\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"166\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p>\u6b21\u306b\u3001\u8a08\u753b\u306e\u65b9\u7a0b\u5f0f\u5168\u4f53\u3092\u30d1\u30e9\u30e1\u30fc\u30bf\u30fc D \u306e\u5024\u3067\u9664\u7b97\u3057\u3001\u7b26\u53f7\u3092\u5909\u66f4\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-04843e22b4176c0ce921483f93dffeab_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{Ax+By+Cz}{-D}=\\cfrac{-D}{-D}\" title=\"Rendered by QuickLaTeX.com\" height=\"39\" width=\"176\" style=\"vertical-align: -12px;\"><\/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-278ce62f85ca44612254f48e96154726_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{Ax}{-D}+\\cfrac{By}{-D}+\\cfrac{Cz}{-D}=1\" title=\"Rendered by QuickLaTeX.com\" height=\"39\" width=\"166\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p>\u305d\u3057\u3066\u3001\u5206\u6570\u306e\u6027\u8cea\u3092\u5229\u7528\u3059\u308b\u3068\u3001\u6b21\u306e\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-a58254e773c7c14b5b337a4330997125_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{x}{-\\frac{D}{A}}+\\cfrac{y}{-\\frac{D}{A}}+\\cfrac{z}{-\\frac{D}{A}}=1\" title=\"Rendered by QuickLaTeX.com\" height=\"42\" width=\"167\" style=\"vertical-align: -20px;\"><\/p>\n<\/p>\n<p>\u3057\u305f\u304c\u3063\u3066\u3001\u3053\u306e\u5f0f\u304b\u3089\u3001\u5e73\u9762\u306e\u6b63\u6e96\u65b9\u7a0b\u5f0f\u307e\u305f\u306f\u90e8\u5206\u65b9\u7a0b\u5f0f\u306e\u9805\u3092\u76f4\u63a5\u8a08\u7b97\u3067\u304d\u308b\u5f0f\u3092\u5c0e\u304d\u51fa\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-86975df14352b1b0c2ca05d2daaf40f7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"a=-\\cfrac{D}{A} \\qquad b=-\\cfrac{D}{B} \\qquad c=-\\cfrac{D}{C}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"260\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p>\u3057\u305f\u304c\u3063\u3066\u3001\u8a08\u753b\u306e\u65b9\u7a0b\u5f0f\u306e\u3053\u306e\u5909\u5f62\u3092\u5f62\u6210\u3067\u304d\u308b\u3088\u3046\u306b\u3059\u308b\u306b\u306f\u3001\u4fc2\u6570 A\u3001B\u3001\u304a\u3088\u3073 C \u304c\u30bc\u30ed\u4ee5\u5916\u3067\u306a\u3051\u308c\u3070\u306a\u3089\u305a\u3001\u3053\u308c\u306b\u3088\u308a\u5206\u6570\u306e\u4e0d\u78ba\u5b9a\u6027\u304c\u56de\u907f\u3055\u308c\u307e\u3059\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"posicion-relativa-de-dos-planos\"><\/span> 2 \u3064\u306e\u5e73\u9762\u306e\u76f8\u5bfe\u4f4d\u7f6e<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u89e3\u6790\u5e7e\u4f55\u5b66\u3067\u306f\u30012 \u3064\u306e\u5e73\u9762\u9593\u306b\u53ef\u80fd\u306a\u76f8\u5bfe\u4f4d\u7f6e\u306f\u3001\u5272\u7dda\u5e73\u9762\u3001\u5e73\u884c\u5e73\u9762\u3001\u4e00\u81f4\u5e73\u9762\u306e 3 \u3064\u3060\u3051\u3067\u3059\u3002<\/p>\n<ul>\n<li><strong>\u4ea4\u5dee\u3059\u308b\u5e73\u9762<\/strong>: 2 \u3064\u306e\u5e73\u9762\u304c 1 \u3064\u306e\u7dda\u4e0a\u3067\u306e\u307f\u4ea4\u5dee\u3059\u308b\u5834\u5408\u30012 \u3064\u306e\u5e73\u9762\u306f\u4ea4\u5dee\u3057\u3066\u3044\u307e\u3059\u3002<\/li>\n<li><strong>\u5e73\u884c\u5e73\u9762<\/strong>: 2 \u3064\u306e\u5e73\u9762\u306f\u3001\u3069\u306e\u70b9\u3067\u3082\u4ea4\u5dee\u3057\u306a\u3051\u308c\u3070\u5e73\u884c\u3067\u3059\u3002<\/li>\n<li><strong>\u4e00\u81f4\u3059\u308b\u5e73\u9762<\/strong>: 2 \u3064\u306e\u5e73\u9762\u304c\u3059\u3079\u3066\u5171\u901a\u70b9\u3092\u6301\u3064\u5834\u5408\u3001\u305d\u308c\u3089\u306e\u5e73\u9762\u306f\u4e00\u81f4\u3057\u307e\u3059\u3002 <\/li>\n<\/ul>\n<div class=\"wp-block-columns is-layout-flex wp-container-30\">\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\u5e73\u9762<\/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\/plans-secants.webp\" alt=\"2 \u3064\u306e\u4ea4\u5dee\u3059\u308b\u5e73\u9762\u306e\u76f8\u5bfe\u4f4d\u7f6e\" class=\"wp-image-2814\" width=\"265\" height=\"258\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\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>\u5e73\u884c\u9762<\/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\/plans-paralleles-1.webp\" alt=\"2 \u3064\u306e\u5e73\u884c\u306a\u5e73\u9762\u306e\u76f8\u5bfe\u4f4d\u7f6e\" class=\"wp-image-2815\" width=\"266\" height=\"166\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\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\u5e73\u9762<\/strong><\/p>\n<figure class=\"wp-block-image size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/deux-avions-coincidents.webp\" alt=\"\u4e00\u81f4\u3059\u308b 2 \u3064\u306e\u5e73\u9762\u306e\u76f8\u5bfe\u4f4d\u7f6e\" class=\"wp-image-2820\" width=\"294\" height=\"83\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<\/div>\n<p>\u3055\u3089\u306b\u30012 \u3064\u306e\u4ea4\u5dee\u3059\u308b\u5e73\u9762\u304c 90 \u5ea6\u306e\u89d2\u5ea6\u3067\u4ea4\u5dee\u3059\u308b\u5834\u5408\u3001\u305d\u308c\u3089\u306f 2 \u3064\u306e<strong>\u76f8\u4e92\u306b\u5782\u76f4\u306a\u5e73\u9762\u306b<\/strong>\u306a\u308a\u307e\u3059\u3002<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"angulo-entre-dos-planos\"><\/span> 2 \u3064\u306e\u5e73\u9762\u9593\u306e\u89d2\u5ea6<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\uff12\u3064\u306e\u5e73\u9762\u9593\u306e\u89d2\u5ea6\u306f\u3001\u524d\u8a18\u5e73\u9762\u306e\u6cd5\u7dda\u30d9\u30af\u30c8\u30eb\u306b\u3088\u3063\u3066\u5f62\u6210\u3055\u308c\u308b\u89d2\u5ea6\u306b\u7b49\u3057\u3044\u3002\u3057\u305f\u304c\u3063\u3066\u3001 <strong>2 \u3064\u306e\u5e73\u9762\u9593\u306e\u89d2\u5ea6\u3092\u6c42\u3081\u308b\u306b\u306f\u3001\u305d\u308c\u3089\u306e\u6cd5\u7dda\u30d9\u30af\u30c8\u30eb\u304c\u7b49\u3057\u3044\u305f\u3081\u3001\u305d\u308c\u3089\u306e\u6cd5\u7dda\u30d9\u30af\u30c8\u30eb\u306b\u3088\u3063\u3066\u5f62\u6210\u3055\u308c\u308b\u89d2\u5ea6\u304c\u8a08\u7b97\u3055\u308c\u307e\u3059\u3002<\/strong><\/p>\n<p>\u3057\u305f\u304c\u3063\u3066\u30012 \u3064\u306e\u5e73\u9762\u9593\u306e\u89d2\u5ea6\u304c\u3069\u306e\u3088\u3046\u306a\u3082\u306e\u3067\u3042\u308b\u304b\u3092\u6b63\u78ba\u306b\u7406\u89e3\u3057\u305f\u3089\u3001\u7a7a\u9593\u5185\u306e 2 \u3064\u306e\u5e73\u9762\u9593\u306e\u89d2\u5ea6\u3092\u8a08\u7b97\u3059\u308b\u516c\u5f0f\u3092\u898b\u3066\u307f\u307e\u3057\u3087\u3046\u3002\u3053\u308c\u306f\u30012 \u3064\u306e\u30d9\u30af\u30c8\u30eb\u9593\u306e\u89d2\u5ea6\u306e\u516c\u5f0f\u304b\u3089\u63a8\u5b9a\u3055\u308c\u307e\u3059\u3002<\/p>\n<p> 2 \u3064\u306e\u7570\u306a\u308b\u5e73\u9762\u306e\u4e00\u822c (\u307e\u305f\u306f\u6697\u9ed9\u306e) \u65b9\u7a0b\u5f0f\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-dfa3d7e6f1ece8353327be7c9227d75b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\pi_1 : \\ A_1x+B_1y+C_1z+D_1=0\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"249\" 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-2c3966346685421fe3e535cf57a5491d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\pi_2 : \\ A_2x+B_2y+C_2z+D_2=0\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"249\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p>\u5404\u5e73\u9762\u306e\u6cd5\u7dda\u30d9\u30af\u30c8\u30eb\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-eb0ca06882e0d61d6f8134368946ef29_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{n}_1=(A_1,B_1,C_1)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"133\" 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-22fba6a063a544bdf257e64d8d139238_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{n}_2=(A_2,B_2,C_2)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"133\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u3053\u308c\u3089 2 \u3064\u306e\u5e73\u9762\u306b\u3088\u3063\u3066\u5f62\u6210\u3055\u308c\u308b\u89d2\u5ea6\u306f\u3001\u6b21\u306e\u5f0f\u3092\u4f7f\u7528\u3057\u3066\u6cd5\u7dda\u30d9\u30af\u30c8\u30eb\u306b\u3088\u3063\u3066\u5f62\u6210\u3055\u308c\u308b\u89d2\u5ea6\u3092\u8a08\u7b97\u3059\u308b\u3053\u3068\u306b\u3088\u3063\u3066\u6c7a\u5b9a\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-a0329572a30e8d75bd3795469fe65493_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\definecolor{taronjaquadreejemplo}{HTML}{FF9800}  \\newtcbox{\\mymath}[1][]{%     nobeforeafter, math upper, tcbox raise base,     enhanced, colframe=taronjaquadreejemplo,      boxrule=1.1pt, boxsep=2mm,     #1} \\begin{empheq}[box={\\mymath[colback=white, shadow={2mm}{-2mm}{0mm}{taronjaquadreejemplo!20!white,} ]}]{equation*}      \\displaystyle \\cos(\\alpha) =\\cfrac{\\lvert \\vv{n}_1 \\cdot \\vv{n}_2\\rvert}{\\lvert \\vv{n}_1 \\rvert \\cdot \\lvert \\vv{n}_2 \\rvert} \\end{empheq}\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"329\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u660e\u3089\u304b\u306b\u3001\u516c\u5f0f\u304b\u3089 2 \u3064\u306e\u5e73\u9762\u306b\u3088\u3063\u3066\u5f62\u6210\u3055\u308c\u308b\u89d2\u5ea6\u306e\u4f59\u5f26\u3092\u8a08\u7b97\u3057\u305f\u3089\u3001\u305d\u306e\u89d2\u5ea6\u306e\u5024\u3092\u898b\u3064\u3051\u308b\u305f\u3081\u306b\u4f59\u5f26\u3092\u53cd\u8ee2\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n<p>\u4e00\u65b9\u30012 \u3064\u306e\u5e73\u9762\u304c\u5782\u76f4\u307e\u305f\u306f\u5e73\u884c\u3067\u3042\u308b\u5834\u5408\u306f\u30012 \u3064\u306e\u5e73\u9762\u9593\u306e\u89d2\u5ea6\u3092\u76f4\u63a5\u6c7a\u5b9a\u3067\u304d\u308b\u305f\u3081\u3001\u6b21\u306e\u5f0f\u3092\u9069\u7528\u3059\u308b\u5fc5\u8981\u306f\u3042\u308a\u307e\u305b\u3093\u3002<\/p>\n<ul>\n<li> 2 \u3064\u306e\u5e73\u884c\u306a\u5e73\u9762\u9593\u306e\u89d2\u5ea6\u306f\u3001\u305d\u308c\u3089\u306e\u6cd5\u7dda\u30d9\u30af\u30c8\u30eb\u304c\u540c\u3058\u65b9\u5411\u3092\u6301\u3063\u3066\u3044\u308b\u305f\u3081 0\u00b0 \u3067\u3059\u3002<\/li>\n<li> 2 \u3064\u306e\u5782\u76f4\u306a\u5e73\u9762\u9593\u306e\u89d2\u5ea6\u306f 90 \u5ea6\u3067\u3059\u3002\u3053\u308c\u306f\u3001\u305d\u308c\u3089\u306e\u6cd5\u7dda\u30d9\u30af\u30c8\u30eb\u3082\u4e92\u3044\u306b\u5782\u76f4 (\u307e\u305f\u306f\u76f4\u4ea4) \u3057\u3066\u304a\u308a\u3001\u3057\u305f\u304c\u3063\u3066\u76f4\u89d2\u3092\u5f62\u6210\u3059\u308b\u305f\u3081\u3067\u3059\u3002<\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>\u3053\u306e\u30da\u30fc\u30b8\u3067\u306f\u3001\u5e73\u9762\u3068\u306f\u4f55\u304b\u3001\u5e73\u9762\u306e\u8a08\u7b97\u65b9\u6cd5\u3001\u304a\u3088\u3073\u305d\u306e\u3059\u3079\u3066\u306e\u30d7\u30ed\u30d1\u30c6\u30a3\u306b\u3064\u3044\u3066\u8aac\u660e\u3057\u307e\u3059\u3002\u3055\u3089\u306b\u3001\u5e73\u9762\u306e\u4f8b\u30012 \u3064\u306e\u5e73\u9762\u9593\u306e\u76f8\u5bfe\u4f4d\u7f6e\u30012 \u3064\u306e\u5e73\u9762\u9593\u306e\u89d2\u5ea6\u3092\u6c7a\u5b9a\u3059\u308b\u65b9\u6cd5\u3001\u305d\u3057\u3066\u6700\u5f8c\u306b\u3001\u5e73\u9762\u65b9\u7a0b\u5f0f\u3092\u4f7f\u7528\u3057\u3066\u4efb\u610f\u306e\u5e73\u9762\u3092 &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/ja\/%e5%b9%b3%e9%9d%a2%e3%82%b8%e3%82%aa%e3%83%a1%e3%83%88%e3%83%aa\/\"> <span class=\"screen-reader-text\">\u5e73\u9762\uff08\u5e7e\u4f55\u5b66\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-265","post","type-post","status-publish","format-standard","hentry","category-15"],"yoast_head":"<!-- This site is optimized 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