{"id":252,"date":"2023-07-10T10:33:39","date_gmt":"2023-07-10T10:33:39","guid":{"rendered":"https:\/\/mathority.org\/ja\/%e5%9e%82%e7%9b%b4%e9%9d%a2\/"},"modified":"2023-07-10T10:33:39","modified_gmt":"2023-07-10T10:33:39","slug":"%e5%9e%82%e7%9b%b4%e9%9d%a2","status":"publish","type":"post","link":"https:\/\/mathority.org\/ja\/%e5%9e%82%e7%9b%b4%e9%9d%a2\/","title":{"rendered":"\u5782\u76f4\u9762"},"content":{"rendered":"<p>\u3053\u306e\u30da\u30fc\u30b8\u3067\u306f\u3001\u5782\u76f4\u9762\u3068\u306f\u4f55\u304b\u30012 \u3064\u306e\u9762\u304c\u5782\u76f4\u3067\u3042\u308b\u304b\u3069\u3046\u304b\u3092\u5224\u65ad\u3059\u308b\u65b9\u6cd5\u3001\u5782\u76f4\u9762\u3092\u8a08\u7b97\u3059\u308b\u65b9\u6cd5\u3001\u5782\u76f4\u9762\u306e\u4f8b\u3068\u89e3\u7b54\u6e08\u307f\u306e\u6f14\u7fd2\u3092\u8aac\u660e\u3057\u307e\u3059\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfque-son-dos-planos-perpendiculares\"><\/span> 2 \u3064\u306e\u5782\u76f4\u306a\u5e73\u9762\u3068\u306f\u4f55\u3067\u3059\u304b?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><strong>\u89e3\u6790\u5e7e\u4f55\u5b66\u3067\u306f\u30012 \u3064\u306e\u5e73\u9762\u304c\u76f4\u89d2 (90 \u5ea6) \u3067\u4ea4\u5dee\u3059\u308b\u5834\u5408\u3001\u305d\u308c\u3089\u306e\u5e73\u9762\u306f\u5782\u76f4\u306b\u306a\u308a\u307e\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\/plans-perpendiculaires-1.webp\" alt=\"2 \u3064\u306e\u5782\u76f4\u306a\u5e73\u9762\" class=\"wp-image-2938\" width=\"310\" height=\"325\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p>\u307e\u305f\u3001\u5782\u76f4\u306a\uff12\u3064\u306e\u9762\u306e\u6cd5\u7dda\u30d9\u30af\u30c8\u30eb\u3082\u4e92\u3044\u306b\u76f4\u4ea4\u3057\u3066\u3044\u308b\u3002<\/p>\n<p>\u660e\u3089\u304b\u306b\u30012 \u3064\u306e\u5782\u76f4\u9762\u306f\u7dda\u3067\u4ea4\u5dee\u3059\u308b\u305f\u3081\u3001\u9593\u306e\u8ddd\u96e2\u306f\u5e38\u306b\u30bc\u30ed\u3067\u3059\u3002\u975e\u5e38\u306b\u5358\u7d14\u306a\u3088\u3046\u306b\u898b\u3048\u307e\u3059\u304c\u3001 <a href=\"https:\/\/mathority.org\/ja\/2-\u3064\u306e\u5e73\u9762\u9593\u306e\u8ddd\u96e2\u306e\u516c\u5f0f\/\">2 \u3064\u306e\u5e73\u9762\u9593\u306e\u8ddd\u96e2<\/a>\u306e\u6982\u5ff5\u306f\u975e\u5e38\u306b\u91cd\u8981\u306a\u306e\u3067\u3001\u8cea\u554f\u304c\u3042\u308b\u5834\u5408\u306f\u30ea\u30f3\u30af\u306b\u30a2\u30af\u30bb\u30b9\u3059\u308b\u3053\u3068\u3092\u304a\u52e7\u3081\u3057\u307e\u3059\u3002<\/p>\n<p>\u4e00\u65b9\u3001\u7a7a\u9593 (R3) \u5185\u306e 2 \u3064\u306e\u5e73\u9762\u306f\u4ea4\u5dee\u3057\u305f\u308a\u3001\u5e73\u884c\u3057\u305f\u308a\u3001\u4e00\u81f4\u3057\u305f\u308a\u3059\u308b\u53ef\u80fd\u6027\u304c\u3042\u308b\u305f\u3081\u3001\u5782\u76f4\u306b\u914d\u7f6e\u3055\u308c\u305f 2 \u3064\u306e\u5e73\u9762\u304c\u5e73\u9762\u9593\u306e\u552f\u4e00\u306e\u53ef\u80fd\u306a\u76f8\u5bfe\u4f4d\u7f6e\u3067\u306f\u3042\u308a\u307e\u305b\u3093\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfcomo-saber-si-un-plano-es-perpendicular-a-otro\"><\/span>\u3042\u308b\u5e73\u9762\u304c\u5225\u306e\u5e73\u9762\u306b\u5782\u76f4\u304b\u3069\u3046\u304b\u306f\u3069\u3046\u3084\u3063\u3066\u308f\u304b\u308a\u307e\u3059\u304b?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u5782\u76f4\u9762\u306e\u5b9a\u7fa9\u3092\u7406\u89e3\u3057\u305f\u3089\u30012 \u3064\u306e\u9762\u304c\u5782\u76f4\u304b\u3069\u3046\u304b\u3092\u78ba\u8a8d\u3059\u308b\u65b9\u6cd5\u3092\u898b\u3066\u307f\u307e\u3057\u3087\u3046\u3002<\/p>\n<p> <strong>2 \u3064\u306e\u5e73\u9762\u306f\u3001\u305d\u306e\u6cd5\u7dda\u30d9\u30af\u30c8\u30eb\u304c\u5782\u76f4\u3067\u3042\u308b\u5834\u5408\u306b\u5782\u76f4\u306b\u306a\u308a\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u30012 \u3064\u306e\u5e73\u9762\u304c\u4e92\u3044\u306b\u5782\u76f4\u3067\u3042\u308b\u304b\u3069\u3046\u304b\u3092\u5224\u65ad\u3059\u308b\u306b\u306f\u3001\u305d\u308c\u3089\u306e\u6cd5\u7dda\u30d9\u30af\u30c8\u30eb\u306b\u3088\u3063\u3066\u5f62\u6210\u3055\u308c\u308b\u89d2\u5ea6\u3092\u8a08\u7b97\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002\u3053\u308c\u3089\u306e\u5e73\u9762\u304c 90 \u5ea6\u306e\u89d2\u5ea6\u3092\u5f62\u6210\u3059\u308b\u5834\u5408\u3001\u3053\u308c\u306f\u5e73\u9762\u304c\u5782\u76f4\u3067\u3042\u308b\u3053\u3068\u3092\u610f\u5473\u3057\u307e\u3059\u3002<\/strong><\/p>\n<p>\u3057\u305f\u304c\u3063\u3066\u30012 \u3064\u306e\u5e73\u9762\u306e\u5782\u76f4\u5ea6\u3092\u898b\u3064\u3051\u308b\u306b\u306f<a href=\"https:\/\/mathority.org\/ja\/2-\u3064\u306e\u30d8\u3099\u30af\u30c8\u30eb\u306e\u9593\u306e\u89d2\u5ea6\u3092\u8a08\u7b97\u3059\u308b\u65b9\u6cd5\u306e\u4f8b\u3068\u89e3\u6c7a\u3055\u308c\u305f\u6f14\u7fd2\/\">\u30012 \u3064\u306e\u30d9\u30af\u30c8\u30eb\u9593\u306e\u89d2\u5ea6\u3092\u8a08\u7b97\u3059\u308b\u65b9\u6cd5\u3092<\/a>\u77e5\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002\u305d\u306e\u65b9\u6cd5\u3092\u899a\u3048\u3066\u3044\u306a\u3044\u5834\u5408\u306f\u3001\u30ea\u30f3\u30af\u3092\u53c2\u7167\u3057\u3066\u304f\u3060\u3055\u3044\u3002\u305d\u3053\u306b\u306f\u3001\u8aac\u660e\u3068 2 \u3064\u306e\u30d9\u30af\u30c8\u30eb\u306e\u9593\u306e\u89d2\u5ea6\u3092\u6c7a\u5b9a\u3059\u308b\u305f\u3081\u306b\u5fc5\u8981\u306a\u516c\u5f0f\u304c\u8a18\u8f09\u3055\u308c\u3066\u3044\u307e\u3059\u3002\u3055\u3089\u306b\u3001\u4f8b\u984c\u3092\u898b\u3066\u3001\u89e3\u6c7a\u3055\u308c\u305f\u6f14\u7fd2\u3067\u7df4\u7fd2\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n<p>\u3057\u304b\u3057\u3001\u7c21\u5358\u306b\u8a00\u3046\u3068\u30012 \u3064\u306e\u30d9\u30af\u30c8\u30eb\u306f\u3001\u305d\u306e\u5185\u7a4d\u304c 0 \u306e\u5834\u5408\u3001\u5782\u76f4\u306b\u306a\u308a\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u30012 \u3064\u306e\u5e73\u9762\u306f\u3001\u305d\u308c\u3089\u306b\u95a2\u9023\u4ed8\u3051\u3089\u308c\u305f\u6cd5\u7dda\u30d9\u30af\u30c8\u30eb\u306e\u5185\u7a4d\u304c 0 \u306e\u5834\u5408\u306b\u5782\u76f4\u306b\u306a\u308a\u307e\u3059\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplo-de-dos-planos-perpendiculares\"><\/span> 2 \u3064\u306e\u5782\u76f4\u306a\u5e73\u9762\u306e\u4f8b<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u305f\u3068\u3048\u3070\u3001\u6b21\u306e 2 \u3064\u306e\u5e73\u9762\u304c\u5782\u76f4\u3067\u3042\u308b\u304b\u3069\u3046\u304b\u3092\u78ba\u8a8d\u3057\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-461f8b70561082ac05310f3bdbea280c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\pi_1 : \\ 3x-4y+2z+5 =0\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"200\" 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-7ceed6a5e80f097883204588c20c06a7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\pi_2 : \\ 2x+5y+7z-6 =0\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"200\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p>\u5e73\u9762\u306b\u5782\u76f4\u306a\u30d9\u30af\u30c8\u30eb\u306e\u5ea7\u6a19 X\u3001Y\u3001Z \u306f\u3001\u305d\u306e\u4e00\u822c (\u307e\u305f\u306f\u6697\u9ed9\u306e) \u65b9\u7a0b\u5f0f\u306e\u4fc2\u6570 A\u3001B\u3001C \u3068\u4e00\u81f4\u3057\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u5404\u5e73\u9762\u306e\u6cd5\u7dda\u30d9\u30af\u30c8\u30eb\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-0767f496a5286c8e2ae26fb9d8fe209e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{n}_1 =(3,-4,2)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"111\" 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-a0d0ceb987a550c197edc832e747928b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{n}_2 =(2,5,7)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"97\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u305d\u3057\u3066\u3001\u6cd5\u7dda\u30d9\u30af\u30c8\u30eb\u9593\u306e\u5185\u7a4d\u3092\u8a08\u7b97\u3059\u308b\u3053\u3068\u3067\u3001\u3053\u308c\u3089\u304c 2 \u3064\u306e\u5782\u76f4\u9762\u3067\u3042\u308b\u304b\u3069\u3046\u304b\u3092\u78ba\u8a8d\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-94cfcef6a93720224eff0bd4891839ed_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned} \\vv{n}_1 \\cdot \\vv{n}_2 &amp; = (3,-4,2)\\cdot (2,5,7) \\\\[2ex] &amp; = 3 \\cdot 2 +(-4) \\cdot 5 +2 \\cdot 7 \\\\[2ex] &amp;=6-20+14 \\\\[2ex] &amp;\\bm{= 0}\\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"140\" width=\"236\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> 2 \u3064\u306e\u6cd5\u7dda\u30d9\u30af\u30c8\u30eb\u9593\u306e\u5185\u7a4d\u306f 0 \u3067\u3042\u308b\u305f\u3081\u3001 <strong>2 \u3064\u306e\u5e73\u9762\u306f\u4e92\u3044\u306b\u5782\u76f4\u3067\u3059<\/strong>\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"calcular-un-plano-perpendicular-a-una-recta-en-un-punto\"><\/span>\u70b9\u306b\u304a\u3051\u308b\u7dda\u306b\u5782\u76f4\u306a\u5e73\u9762\u3092\u8a08\u7b97\u3057\u307e\u3059<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u5178\u578b\u7684\u306a\u5e73\u9762\u3068\u76f4\u7dda\u306e\u554f\u984c\u306f\u3001\u7279\u5b9a\u306e\u70b9\u306b\u304a\u3051\u308b\u76f4\u7dda\u306b\u5782\u76f4\u306a\u5e73\u9762\u306e\u65b9\u7a0b\u5f0f\u3092\u898b\u3064\u3051\u308b\u3053\u3068\u3067\u3059\u3002\u305d\u3053\u3067\u3001\u6b21\u306b\u4f8b\u3092\u4f7f\u3063\u3066\u305d\u308c\u304c\u3069\u306e\u3088\u3046\u306b\u89e3\u6c7a\u3055\u308c\u308b\u304b\u3092\u898b\u3066\u3044\u304d\u307e\u3059\u3002<\/p>\n<ul>\n<li>\u76f4\u7dda\u306b\u5782\u76f4\u306a\u5e73\u9762\u306e\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-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>\u306b\u3064\u3044\u3066<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-6afe6e8cf17f5596dfba598723950b26_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P,\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"16\" style=\"vertical-align: -4px;\"><\/p>\n<p>\u30b9\u30c8\u30ec\u30fc\u30c8\u306b\u8a00\u308f\u308c\u3066\u6307\u6458\u3059\u308b\uff1a<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-1ac7260ee9792daec4f32e1f200df01b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle r: \\ \\begin{cases} x=3-2t \\\\[1.7ex] y=-1+4t \\\\[1.7ex] z=1+t \\end{cases} \\qquad \\qquad P(1,3,-2)\" title=\"Rendered by QuickLaTeX.com\" height=\"107\" width=\"314\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u307e\u305a\u3001\u554f\u984c\u306e\u5e73\u9762\u306b\u5782\u76f4\u306a\u30d9\u30af\u30c8\u30eb\u3092\u898b\u3064\u3051\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002\u305d\u3057\u3066\u76f4\u7dda\u306e\u3088\u3046\u306b<\/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>\u304c\u5e73\u9762\u306b\u5782\u76f4\u3067\u3042\u308b\u5834\u5408\u3001\u305d\u306e\u6cd5\u7dda\u30d9\u30af\u30c8\u30eb\u306f\u7dda\u306e\u65b9\u5411\u30d9\u30af\u30c8\u30eb\u3068\u4e00\u81f4\u3057\u307e\u3059\u3002<\/p>\n<p>\u3053\u306e\u5834\u5408\u3001\u884c\u306f<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-c409433a9e2dfcdb83360a974d243f18_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"r\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"8\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u306f\u30d1\u30e9\u30e1\u30c8\u30ea\u30c3\u30af\u65b9\u7a0b\u5f0f\u306e\u5f62\u5f0f\u3067\u3042\u308b\u305f\u3081\u3001\u305d\u306e\u65b9\u5411\u30d9\u30af\u30c8\u30eb\u306e\u6210\u5206\u306f\u30d1\u30e9\u30e1\u30fc\u30bf\u306e\u524d\u306e\u9805\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-40f8b062c79839dcf7f2885a9e1469e7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"t:\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"15\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-b9328905f7ee6cbfcee10ac7c8b84149_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{r} =(-2,4,1)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"101\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u3057\u305f\u304c\u3063\u3066\u3001\u5e73\u9762\u306b\u5782\u76f4\u306a\u30d9\u30af\u30c8\u30eb\u306f\u3001\u7dda\u306e\u65b9\u5411\u30d9\u30af\u30c8\u30eb\u3068\u540c\u3058\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-4e0ac55e7b5fae82ac79a70b71449d63_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{n} =(-2,4,1)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"103\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u3057\u305f\u304c\u3063\u3066\u3001\u8a08\u753b\u306e\u6697\u9ed9\u7684\u306a (\u307e\u305f\u306f\u4e00\u822c\u7684\u306a) \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-373fe8f9bd73cd3280301259fb4f083e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\pi : \\ -2x+4y+1z+D=0\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"213\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p>\u3057\u305f\u304c\u3063\u3066\u3001\u4fc2\u6570 D \u306e\u5024\u3092\u6c7a\u5b9a\u3059\u308b\u3060\u3051\u3067\u5341\u5206\u3067\u3059\u3002\u3053\u308c\u3092\u884c\u3046\u306b\u306f\u3001\u305d\u306e\u70b9\u304c\u5e73\u9762\u306b\u5c5e\u3057\u3066\u3044\u308b\u3053\u3068\u304c\u308f\u304b\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-cd7b14cad5f298f70a062fe512f9bd46_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(1,3,-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-2c8975f0cfb410904a9d7b5f0fefe73e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"-2\\cdot 1+4\\cdot 3-2+D=0\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"196\" 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-8fa3287f4f5dc0ae0c5deecb4b7c440e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"-2+12-2+D=0\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"161\" 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-27ba59475b36363e25411b5d5113ef7a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"8+D=0\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"78\" 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-cdce1ad8fc5fc623a377d359ca9c1907_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"D=-8\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"62\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u3064\u307e\u308a\u3001\u5e73\u9762\u306e\u30c7\u30ab\u30eb\u30c8\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-93487eba9a4a0a0e58417f13b45d8c06_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{\\pi : \\ -2x+4y+z-8=0}\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"198\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p>\u4e00\u65b9\u3001\u5e7e\u4f55\u5b66\u7684\u30aa\u30d6\u30b8\u30a7\u30af\u30c8\u9593\u306e\u5782\u76f4\u6027\u306b\u3064\u3044\u3066\u3055\u3089\u306b\u7df4\u7fd2\u3057\u305f\u3044\u5834\u5408\u306f\u3001\u5782\u76f4\u7dda\u306b\u95a2\u3059\u308b\u30da\u30fc\u30b8\u306b\u30a2\u30af\u30bb\u30b9\u3057\u3066\u304f\u3060\u3055\u3044\u3002 2 \u672c\u306e<a href=\"https:\/\/mathority.org\/ja\/\u5782\u76f4\u7dda\u306e\u5b9a\u7fa9\u3068\u4f8b-\u76f4\u89d2\u5ea6\/\">\u7dda\u304c<\/a>\u76f4\u4ea4\u3059\u308b\u5834\u5408\u3001\u4e00\u65b9\u306e\u7dda\u3068\u3082\u3046\u4e00\u65b9\u306e\u7dda\u306e\u5782\u76f4\u3092\u8a08\u7b97\u3059\u308b\u65b9\u6cd5\u3001\u4f8b\u3001\u89e3\u6c7a\u3055\u308c\u305f\u6f14\u7fd2\u306a\u3069\u3001\u5782\u76f4\u7dda\u306b\u3064\u3044\u3066\u77e5\u3063\u3066\u304a\u304f\u3079\u304d\u3059\u3079\u3066\u306e\u3053\u3068\u304c\u898b\u3064\u304b\u308a\u307e\u3059\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"propiedades-de-los-planos-perpendiculares\"><\/span>\u5782\u76f4\u9762\u306e\u6027\u8cea<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u3059\u3079\u3066\u306e\u5782\u76f4\u9762\u306b\u306f\u6b21\u306e\u7279\u6027\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n<ul>\n<li><strong>\u5bfe\u79f0\u95a2\u4fc2<\/strong>: \u3042\u308b\u5e73\u9762\u304c\u5225\u306e\u5e73\u9762\u306b\u5782\u76f4\u306a\u5834\u5408\u3001\u3053\u306e\u5e73\u9762\u3082\u6700\u521d\u306e\u5e73\u9762\u306b\u5bfe\u3057\u3066\u5782\u76f4\u306b\u306a\u308a\u307e\u3059\u3002\u3053\u306e\u6027\u8cea\u306f\u5e73\u884c\u9762\u3067\u3082\u4fdd\u6301\u3055\u308c\u307e\u3059\u3002<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a65017e9c518a7647d5778548727798a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\pi_1 \\bm{\\perp} \\pi_2 \\ \\longrightarrow \\ \\pi_2 \\bm{\\perp} \\pi_1\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"147\" style=\"vertical-align: -3px;\"><\/p>\n<\/p>\n<ul>\n<li><strong>\u975e\u53cd\u5c04\u7279\u6027<\/strong>: \u660e\u3089\u304b\u306b\u3001\u305d\u308c\u81ea\u4f53\u306b\u5bfe\u3057\u3066\u5782\u76f4\u306b\u306a\u308b\u5e73\u9762\u306f\u5b58\u5728\u3057\u307e\u305b\u3093\u3002<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-59682cb1154e7a1d4206465c8fa28c72_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\pi_1 \\ \\cancel{\\bm{\\perp}}} \\ \\pi_1\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"59\" style=\"vertical-align: -3px;\"><\/p>\n<\/p>\n<ul>\n<li><strong>\u5b9a\u7406:<\/strong> 3 \u6b21\u5143 (3D) \u7a7a\u9593\u3067\u306f\u30013 \u756a\u76ee\u306e\u5e73\u9762\u306b\u5782\u76f4\u306a\u5e73\u9762\u306e\u30da\u30a2\u306f\u5fc5\u305a\u5e73\u884c\u3067\u306a\u3051\u308c\u3070\u306a\u308a\u307e\u305b\u3093\u3002\u8a00\u3044\u63db\u3048\u308c\u3070\u3001\u3042\u308b\u5e73\u9762\u304c\u5225\u306e\u5e73\u9762\u306b\u5782\u76f4\u3067\u3042\u308a\u3001\u3053\u306e\u5e73\u9762\u304c 3 \u756a\u76ee\u306e\u5e73\u9762\u306b\u3082\u5782\u76f4\u3067\u3042\u308b\u5834\u5408\u3001\u6700\u521d\u3068\u6700\u5f8c\u306e\u5e73\u9762\u306f\u4e92\u3044\u306b\u5e73\u884c\u3067\u3059\u3002<\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>\u3053\u306e\u30da\u30fc\u30b8\u3067\u306f\u3001\u5782\u76f4\u9762\u3068\u306f\u4f55\u304b\u30012 \u3064\u306e\u9762\u304c\u5782\u76f4\u3067\u3042\u308b\u304b\u3069\u3046\u304b\u3092\u5224\u65ad\u3059\u308b\u65b9\u6cd5\u3001\u5782\u76f4\u9762\u3092\u8a08\u7b97\u3059\u308b\u65b9\u6cd5\u3001\u5782\u76f4\u9762\u306e\u4f8b\u3068\u89e3\u7b54\u6e08\u307f\u306e\u6f14\u7fd2\u3092\u8aac\u660e\u3057\u307e\u3059\u3002 2 \u3064\u306e\u5782\u76f4\u306a\u5e73\u9762\u3068\u306f\u4f55\u3067\u3059\u304b? \u89e3\u6790\u5e7e\u4f55\u5b66\u3067\u306f\u30012 \u3064\u306e\u5e73\u9762\u304c\u76f4\u89d2 (90  &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/ja\/%e5%9e%82%e7%9b%b4%e9%9d%a2\/\"> <span class=\"screen-reader-text\">\u5782\u76f4\u9762<\/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-252","post","type-post","status-publish","format-standard","hentry","category-15"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.2 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>\u5782\u76f4\u9762 - \u30de\u30bd\u30ea\u30c6\u30a3<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/mathority.org\/ja\/\u5782\u76f4\u9762\/\" \/>\n<meta property=\"og:locale\" content=\"ja_JP\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"\u5782\u76f4\u9762 - \u30de\u30bd\u30ea\u30c6\u30a3\" \/>\n<meta property=\"og:description\" content=\"\u3053\u306e\u30da\u30fc\u30b8\u3067\u306f\u3001\u5782\u76f4\u9762\u3068\u306f\u4f55\u304b\u30012 \u3064\u306e\u9762\u304c\u5782\u76f4\u3067\u3042\u308b\u304b\u3069\u3046\u304b\u3092\u5224\u65ad\u3059\u308b\u65b9\u6cd5\u3001\u5782\u76f4\u9762\u3092\u8a08\u7b97\u3059\u308b\u65b9\u6cd5\u3001\u5782\u76f4\u9762\u306e\u4f8b\u3068\u89e3\u7b54\u6e08\u307f\u306e\u6f14\u7fd2\u3092\u8aac\u660e\u3057\u307e\u3059\u3002 2 \u3064\u306e\u5782\u76f4\u306a\u5e73\u9762\u3068\u306f\u4f55\u3067\u3059\u304b? \u89e3\u6790\u5e7e\u4f55\u5b66\u3067\u306f\u30012 \u3064\u306e\u5e73\u9762\u304c\u76f4\u89d2 (90 &hellip; \u5782\u76f4\u9762 \u3082\u3063\u3068\u8aad\u3080 &raquo;\" \/>\n<meta property=\"og:url\" content=\"https:\/\/mathority.org\/ja\/\u5782\u76f4\u9762\/\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-10T10:33:39+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/plans-perpendiculaires-1.webp\" \/>\n<meta name=\"author\" content=\"B1oN0W1@L5\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta 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