{"id":248,"date":"2023-07-10T12:56:19","date_gmt":"2023-07-10T12:56:19","guid":{"rendered":"https:\/\/mathority.org\/ja\/%e7%a9%ba%e9%96%93%e5%86%85%e3%81%ae-2-%e3%81%a4%e3%81%ae%e7%b7%9a%e3%81%ae%e7%9b%b8%e5%af%be%e4%bd%8d%e7%bd%ae-r3-%e3%81%ae%e4%be%8b%e9%a1%8c%e3%82%92%e8%a7%a3%e3%81%84%e3%81%9f%e6%bc%94%e7%bf%92\/"},"modified":"2023-07-10T12:56:19","modified_gmt":"2023-07-10T12:56:19","slug":"%e7%a9%ba%e9%96%93%e5%86%85%e3%81%ae-2-%e3%81%a4%e3%81%ae%e7%b7%9a%e3%81%ae%e7%9b%b8%e5%af%be%e4%bd%8d%e7%bd%ae-r3-%e3%81%ae%e4%be%8b%e9%a1%8c%e3%82%92%e8%a7%a3%e3%81%84%e3%81%9f%e6%bc%94%e7%bf%92","status":"publish","type":"post","link":"https:\/\/mathority.org\/ja\/%e7%a9%ba%e9%96%93%e5%86%85%e3%81%ae-2-%e3%81%a4%e3%81%ae%e7%b7%9a%e3%81%ae%e7%9b%b8%e5%af%be%e4%bd%8d%e7%bd%ae-r3-%e3%81%ae%e4%be%8b%e9%a1%8c%e3%82%92%e8%a7%a3%e3%81%84%e3%81%9f%e6%bc%94%e7%bf%92\/","title":{"rendered":"\u7a7a\u9593\u5185\u306e 2 \u3064\u306e\u7dda\u306e\u76f8\u5bfe\u4f4d\u7f6e"},"content":{"rendered":"<p>\u3053\u3053\u3067\u306f\u3001\u7a7a\u9593 (R3) \u5185\u3067\u306e 2 \u3064\u306e\u7dda\u306e\u76f8\u5bfe\u4f4d\u7f6e\u304c\u3059\u3079\u3066\u308f\u304b\u308a\u307e\u3059\u3002\u3055\u3089\u306b\u3001\u7bc4\u56f2\u306b\u3088\u308b\u65b9\u6cd5\u3001\u307e\u305f\u306f\u5404\u7dda\u306e\u70b9\u3068\u30d9\u30af\u30c8\u30eb\u304b\u3089\u306e 2 \u3064\u306e\u65b9\u6cd5\u3092\u4f7f\u7528\u3057\u3066 2 \u3064\u306e\u7dda\u306e\u9593\u306e\u76f8\u5bfe\u4f4d\u7f6e\u3092\u898b\u3064\u3051\u308b\u65b9\u6cd5\u306b\u3064\u3044\u3066\u3082\u8aac\u660e\u3057\u307e\u3059\u3002\u4f8b\u984c\u3084\u6f14\u7fd2\u3092\u6bb5\u968e\u7684\u306b\u89e3\u304f\u3053\u3068\u3082\u3067\u304d\u307e\u3059\u3002 <\/p>\n<div class=\"adsb30\" style=\" margin:12px; text-align:center\">\n<div id=\"ezoic-pub-ad-placeholder-104\"><\/div>\n<\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfcuales-son-las-posiciones-relativas-de-dos-rectas-en-el-espacio\"><\/span>\u7a7a\u9593\u5185\u306e 2 \u672c\u306e\u7dda\u306e\u76f8\u5bfe\u7684\u306a\u4f4d\u7f6e\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\u30013 \u6b21\u5143\u7a7a\u9593 (R3) \u3067\u4f5c\u696d\u3059\u308b\u5834\u5408\u30012 \u3064\u306e\u7dda\u306e\u9593\u306b\u306f 4 \u3064\u306e\u76f8\u5bfe\u4f4d\u7f6e\u304c\u8003\u3048\u3089\u308c\u307e\u3059\u30022 \u3064\u306e\u7dda\u306f\u3001<strong>\u7d50\u5408\u7dda<\/strong>\u3001<strong>\u5e73\u884c\u7dda<\/strong>\u3001<strong>\u5272\u7dda<\/strong>\u3001\u307e\u305f\u306f<strong>\u5272\u7dda<\/strong>\u306b\u306a\u308a\u307e\u3059\u3002 <\/p>\n<div class=\"wp-block-columns is-layout-flex wp-container-79\">\n<div class=\"wp-block-column is-layout-flow\">\n<p class=\"has-text-align-center has-text-color has-medium-font-size\" style=\"color:#ff6f00\"><strong>\u5e73\u884c\u7dda<\/strong><\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/droites-paralleles-a-langle.webp\" alt=\"2 \u672c\u306e\u5e73\u884c\u7dda\u306e\u76f8\u5bfe\u4f4d\u7f6e\" class=\"wp-image-1643\" width=\"222\" height=\"200\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p class=\"has-text-align-left\"> 2 \u672c\u306e\u7dda\u304c\u540c\u3058\u65b9\u5411\u3092\u5411\u3044\u3066\u3044\u3066\u3082\u5171\u901a\u70b9\u304c\u306a\u3044\u5834\u5408\u3001\u305d\u306e\u7dda\u306f\u5e73\u884c\u3067\u3059\u3002\u3055\u3089\u306b\u3001\u5e73\u884c\u7dda\u306f\u5e38\u306b\u4e92\u3044\u306b\u540c\u3058\u8ddd\u96e2\u306b\u3042\u308a\u307e\u3059\u3002 <\/p>\n<\/div>\n<div class=\"wp-block-column is-layout-flow\">\n<p class=\"has-text-align-center has-text-color has-medium-font-size\" style=\"color:#ff6f00\"><strong>\u4e00\u81f4\u3059\u308b\u7dda<\/strong><\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/angle-coincident-lignes.webp\" alt=\"\u4e00\u81f4\u3059\u308b 2 \u3064\u306e\u7dda\u306e\u76f8\u5bfe\u4f4d\u7f6e\" class=\"wp-image-1646\" width=\"202\" height=\"179\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p> 2 \u672c\u306e\u7dda\u304c\u540c\u3058\u65b9\u5411\u3092\u6301\u3063\u3066\u3044\u3066\u3001\u3055\u3089\u306b\u305d\u308c\u3089\u306e\u3059\u3079\u3066\u306e\u70b9\u304c\u5171\u901a\u3057\u3066\u3044\u308b\u5834\u5408\u30012 \u672c\u306e\u7dda\u306f\u4e00\u81f4\u3057\u307e\u3059\u3002 <\/p>\n<\/div>\n<\/div>\n<div class=\"adsb30\" style=\" margin:12px; text-align:center\">\n<div id=\"ezoic-pub-ad-placeholder-106\"><\/div>\n<\/div>\n<div class=\"wp-block-columns is-layout-flex wp-container-82\">\n<div class=\"wp-block-column is-layout-flow\">\n<p class=\"has-text-align-center has-text-color has-medium-font-size\" style=\"color:#ff6f00\"><strong>\u4ea4\u5dee\u3059\u308b\u7dda<\/strong><\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/angles-droits-secants.webp\" alt=\"\u4ea4\u5dee\u3059\u308b 2 \u3064\u306e\u7dda\u306e\u76f8\u5bfe\u4f4d\u7f6e\" class=\"wp-image-1644\" width=\"222\" height=\"208\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p>\u4ea4\u5dee\u3059\u308b 2 \u3064\u306e\u7dda\u306f\u65b9\u5411\u304c\u7570\u306a\u308a\u307e\u3059\u304c\u30011 \u70b9\u3067\u63a5\u89e6\u3057\u307e\u3059\u3002 <\/p>\n<\/div>\n<div class=\"wp-block-column is-layout-flow\">\n<p class=\"has-text-align-center has-text-color has-medium-font-size\" style=\"color:#ff6f00\"><strong>\u4ea4\u7dda<\/strong><\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/lignes-dintersection-1.webp\" alt=\"\" class=\"wp-image-2692\" width=\"228\" height=\"221\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p>\u4ea4\u5dee\u3059\u308b 2 \u3064\u306e\u7dda\u306f\u65b9\u5411\u304c\u7570\u306a\u308a\u3001\u3069\u306e\u70b9\u3067\u3082\u4ea4\u5dee\u3057\u307e\u305b\u3093\u3002\u3057\u305f\u304c\u3063\u3066\u30012 \u3064\u306e\u4ea4\u5dee\u3057\u305f\u7dda\u306f\u540c\u3058\u5e73\u9762\u4e0a\u306b\u3042\u308a\u307e\u305b\u3093\u3002\u305f\u3068\u3048\u3070\u3001\u7dda\u306e\u4e0a\u306e\u30b0\u30e9\u30d5\u30a3\u30c3\u30af\u8868\u73fe\u3067\u306f\u3001<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-ae1901659f469e6be883797bfd30f4f8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"s\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"8\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u5e38\u306b\u5217\u306e\u5148\u982d\u306b\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-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>, \u3057\u305f\u304c\u3063\u3066\u3001\u5f7c\u3089\u306f\u6c7a\u3057\u3066\u304a\u4e92\u3044\u306b\u89e6\u308c\u308b\u3053\u3068\u306f\u3042\u308a\u307e\u305b\u3093\u3002<\/p>\n<\/div>\n<\/div>\n<p> 2 \u3064\u306e\u76f4\u7dda\u306e\u9593\u306e\u76f8\u5bfe\u4f4d\u7f6e\u3092\u77e5\u308b\u65b9\u6cd5\u306f 2 \u3064\u3042\u308a\u307e\u3059\u3002\u3053\u308c\u3089\u306f 2 \u3064\u306e\u76f4\u7dda\u306e\u65b9\u7a0b\u5f0f\u306e\u8868\u73fe\u65b9\u6cd5\u306b\u4f9d\u5b58\u3057\u307e\u3059\u3002<\/p>\n<ul>\n<li>\u7dda\u304c\u30d9\u30af\u30c8\u30eb\u3001\u30d1\u30e9\u30e1\u30c8\u30ea\u30c3\u30af\u3001\u307e\u305f\u306f\u9023\u7d9a\u65b9\u7a0b\u5f0f\u306e\u5f62\u5f0f\u3067\u3042\u308b\u5834\u5408\u3001<strong>\u70b9\u3068\u5404\u7dda\u306e\u30d9\u30af\u30c8\u30eb\u304b\u3089\u76f8\u5bfe\u4f4d\u7f6e\u3092\u8a08\u7b97\u3059\u308b\u306e\u304c<\/strong>\u6700\u5584\u3067\u3059 (\u3053\u306e\u65b9\u6cd5\u306e\u8aac\u660e\u306f\u4ee5\u4e0b\u306b\u793a\u3057\u307e\u3059)\u3002<\/li>\n<li>\u4e00\u65b9\u3001\u76f4\u7dda\u304c\u9670\u7684\u306a (\u307e\u305f\u306f\u4e00\u822c\u7684\u306a) \u65b9\u7a0b\u5f0f\u306e\u5f62\u5f0f\u3067\u5b9a\u7fa9\u3055\u308c\u3066\u3044\u308b\u5834\u5408\u3001 <strong>2 \u3064\u306e\u884c\u5217\u306e\u30e9\u30f3\u30af\u3092\u8a08\u7b97\u3059\u308b\u3053\u3068\u3067 2 \u3064\u306e\u76f4\u7dda\u9593\u306e\u76f8\u5bfe\u4f4d\u7f6e\u3092\u77e5\u308b\u3053\u3068\u304c<\/strong>\u5bb9\u6613\u306b\u306a\u308a\u307e\u3059 (\u4ee5\u4e0b\u306e\u8aac\u660e\u3092\u53c2\u7167)\u3002 <\/li>\n<\/ul>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"determinar-la-posicion-relativa-de-dos-rectas-a-partir-de-un-punto-y-un-vector\"><\/span>\u70b9\u3068\u30d9\u30af\u30c8\u30eb\u304b\u3089 2 \u3064\u306e\u76f4\u7dda\u306e\u76f8\u5bfe\u4f4d\u7f6e\u3092\u6c42\u3081\u308b<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> 2 \u672c\u306e\u7dda\u306e\u9593\u306b\u3069\u306e\u3088\u3046\u306a\u76f8\u5bfe\u4f4d\u7f6e\u304c\u3042\u308b\u304b\u3092\u3001\u5404\u7dda\u306e\u70b9\u3068\u30d9\u30af\u30c8\u30eb\u3067\u6c42\u3081\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u3053\u306e\u65b9\u6cd5\u306f\u3001\u76f4\u7dda\u304c\u30d9\u30af\u30c8\u30eb\u65b9\u7a0b\u5f0f\u3001\u30d1\u30e9\u30e1\u30c8\u30ea\u30c3\u30af\u65b9\u7a0b\u5f0f\u3001\u307e\u305f\u306f\u9023\u7d9a\u65b9\u7a0b\u5f0f\u306e\u5f62\u5f0f\u3067\u5b9a\u7fa9\u3055\u308c\u3066\u3044\u308b\u5834\u5408\u306b\u4f7f\u7528\u3059\u308b\u306e\u306b\u9069\u3057\u3066\u3044\u307e\u3059\u3002<\/p>\n<p>\u3057\u305f\u304c\u3063\u3066\u3001\u65b9\u5411\u30d9\u30af\u30c8\u30eb\u3068 2 \u3064\u306e\u76f4\u7dda\u306e\u305d\u308c\u305e\u308c\u4e0a\u306e\u4efb\u610f\u306e\u70b9\u3092\u6b21\u306e\u3088\u3046\u306b\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-1bdc3a31a3a5a8aa3da312bb2badb356_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle r: \\ \\begin{cases} \\vv{\\text{v}} = (\\text{v}}_x, \\text{v}}_y,\\text{v}}_z})\\\\[2ex] P(P_x,P_y,P_z)\\end{cases} \\qquad\\qquad s: \\ \\begin{cases} \\vv{\\text{v}}' = (\\text{v}}_x', \\text{v}}_y',\\text{v}}_z'})\\\\[2ex] P'(P_x',P_y',P_z')\\end{cases}\" title=\"Rendered by QuickLaTeX.com\" height=\"66\" width=\"417\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u3057\u305f\u304c\u3063\u3066\u30012 \u3064\u306e\u7dda\u306e\u76f8\u5bfe\u4f4d\u7f6e\u3092\u898b\u3064\u3051\u308b\u306b\u306f\u3001\u6b21\u306e\u624b\u9806\u306b\u5f93\u3046\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n<p> <strong><span style=\"color:#ff6f00;\">\u2023<\/span><\/strong>\u6700\u521d\u306b\u884c\u3046\u5fc5\u8981\u304c\u3042\u308b\u306e\u306f\u30012 \u3064\u306e\u76f4\u7dda\u306e\u30d9\u30af\u30c8\u30eb\u304c\u6bd4\u4f8b\u3057\u3066\u3044\u308b\u304b\u3069\u3046\u304b\u3092\u78ba\u8a8d\u3059\u308b\u3053\u3068\u3067\u3042\u308a\u3001\u5834\u5408\u306b\u5fdc\u3058\u3066\u6b21\u306e\u3053\u3068\u3092\u884c\u3044\u307e\u3059\u3002<\/p>\n<ul style=\"color:#ff6f00; font-weight: bold;list-style-type:disc\">\n<li> <span style=\"color:#000000;font-weight: normal;\">2 \u3064\u306e\u30d9\u30af\u30c8\u30eb\u304c\u6bd4\u4f8b\u3059\u308b\u5834\u5408\u3001\u7dda\u306f\u5e73\u884c\u307e\u305f\u306f\u4e00\u81f4\u3059\u308b\u53ef\u80fd\u6027\u304c\u3042\u308a\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u4e00\u65b9\u306e\u7dda\u306e\u70b9\u304c\u3082\u3046\u4e00\u65b9\u306e\u7dda\u306e\u65b9\u7a0b\u5f0f\u3092\u6e80\u305f\u3059\u304b\u3069\u3046\u304b\u3092\u78ba\u8a8d\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002<\/span>\n<ul style=\"list-style-type:circle\">\n<li><span style=\"color:#000000;font-weight: normal;\">\u4e00\u65b9\u306e\u7dda\u306e\u70b9\u304c\u3082\u3046\u4e00\u65b9\u306e\u7dda\u306e\u65b9\u7a0b\u5f0f\u3092\u6e80\u305f\u3059\u5834\u5408\u3001\u305d\u308c\u306f 2 \u3064\u306e\u7dda\u304c\u4e00\u81f4\u3059\u308b\u3053\u3068\u3092\u610f\u5473\u3057\u307e\u3059\u3002<\/span><\/li>\n<li><span style=\"color:#000000;font-weight: normal;\">\u305d\u308c\u4ee5\u5916\u306e\u5834\u5408\u306f\u30012 \u3064\u306e\u7dda\u304c\u5e73\u884c\u3067\u3042\u308b\u3053\u3068\u3092\u610f\u5473\u3057\u307e\u3059\u3002<\/span><\/li>\n<\/ul>\n<\/li>\n<li> <span style=\"color:#000000;font-weight: normal;\">2 \u3064\u306e\u30d9\u30af\u30c8\u30eb\u304c\u6bd4\u4f8b\u3057\u3066\u3044\u306a\u3044\u5834\u5408\u3001\u7dda\u304c\u4ea4\u5dee\u3057\u305f\u308a\u4ea4\u5dee\u3057\u305f\u308a\u3059\u308b\u53ef\u80fd\u6027\u304c\u3042\u308a\u307e\u3059\u3002\u3053\u306e\u5834\u5408\u3001\u6b21\u306e 3\u00d73 \u884c\u5217\u5f0f\u3092\u89e3\u304f\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002<\/span>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-84a440053c71b2d4287cf246ff1d2f4b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{vmatrix} \\text{v}}_x &amp; \\text{v}}_x' &amp; P_x-P_x' \\\\[1.1ex] \\text{v}}_y &amp; \\text{v}}_y' &amp; P_y-P_y' \\\\[1.1ex]\\text{v}}_z &amp; \\text{v}}_z' &amp; P_z-P_z'  \\end{vmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"86\" width=\"138\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<ul style=\"list-style-type:circle\">\n<li><span style=\"color:#000000;font-weight: normal;\">\u524d\u306e\u884c\u5217\u5f0f\u304c\u30bc\u30ed\u306b\u7b49\u3057\u3044\u5834\u5408\u30012 \u3064\u306e\u76f4\u7dda\u306f\u70b9\u3067\u4ea4\u5dee\u3057\u307e\u3059 (\u4ea4\u5dee\u3057\u307e\u3059)\u3002<\/span><\/li>\n<li><span style=\"color:#000000;font-weight: normal;\">\u524d\u306e\u884c\u5217\u5f0f\u304c\u30bc\u30ed\u4ee5\u5916\u306e\u5834\u5408\u30012 \u3064\u306e\u7dda\u306f\u4ea4\u5dee\u3057\u307e\u3059\u3002<\/span><\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>\u6b21\u306e\u56f3\u306f\u3001\u624b\u9806\u5168\u4f53\u3092\u307e\u3068\u3081\u305f\u3082\u306e\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\/positions-relatives-de-deux-lignes.webp\" alt=\"2 \u3064\u306e\u76f4\u7dda\u306e\u76f8\u5bfe\u4f4d\u7f6e\" class=\"wp-image-2731\" width=\"827\" height=\"544\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplo-de-como-determinar-la-posicion-relativa-entre-dos-rectas\"><\/span> 2 \u3064\u306e\u7dda\u306e\u9593\u306e\u76f8\u5bfe\u4f4d\u7f6e\u3092\u6c7a\u5b9a\u3059\u308b\u4f8b<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\u524d\u306e\u624b\u9806\u306f\u5c11\u3057\u8907\u96d1\u306b\u898b\u3048\u308b\u304b\u3082\u3057\u308c\u307e\u305b\u3093\u304c\u3001\u9006\u3067\u3042\u308b\u3053\u3068\u304c\u308f\u304b\u308b\u3088\u3046\u306b\u3001\u4f8b\u3068\u3057\u3066\u554f\u984c\u3092\u89e3\u6c7a\u3057\u307e\u3059\u3002<\/p>\n<ul>\n<li>\u6b21\u306e 2 \u3064\u306e\u884c\u306e\u9593\u306e\u76f8\u5bfe\u4f4d\u7f6e\u3092\u6c7a\u5b9a\u3057\u307e\u3059\u3002<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-16d9c8120b44ee56adb7cd6358b34f44_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"r: \\ (x,y,z)=(2,0,1)+t(4,-1,1)\" 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-0d49353d91f4eb7753b4cb7229859f81_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"s: \\ (x,y,z)=(1,-3,1)+t(1,2,0)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"264\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> 2 \u3064\u306e\u76f4\u7dda\u306f\u30d9\u30af\u30c8\u30eb\u65b9\u7a0b\u5f0f\u3068\u3057\u3066\u8868\u73fe\u3055\u308c\u3001\u5404\u76f4\u7dda\u306e\u65b9\u5411\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-c5e74a2aac28c26437e62531f2bb7c88_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{r} =(4,-1,1) \\qquad \\qquad \\vv{s}=(1,2,0)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"260\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u305d\u3057\u3066\u3001\u5404\u7dda\u304c\u901a\u904e\u3059\u308b\u70b9\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-e9386dff14919cdeaf57a882471de177_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"R(2,0,1)\\qquad \\qquad S(1,-3,1)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"222\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u70b9\u3068\u5404\u7dda\u306e\u65b9\u5411\u30d9\u30af\u30c8\u30eb\u304c\u308f\u304b\u3063\u305f\u3089\u3001\u4e0a\u8a18\u306e\u65b9\u6cd5\u3092\u9069\u7528\u3057\u307e\u3059\u3002\u307e\u305a\u6700\u521d\u306b\u3001\u30d9\u30af\u30c8\u30eb\u306e\u5ea7\u6a19\u304c\u6bd4\u4f8b\u3057\u3066\u3044\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-fe839d3477334c9358279b3d97bcf4d3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{4}{1} \\neq \\cfrac{-1}{2} \\neq \\cfrac{1}{0} \\quad \\longrightarrow \\quad \\text{No proporcionales}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"314\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p> 2 \u3064\u306e\u30d9\u30af\u30c8\u30eb\u306f\u4e92\u3044\u306b\u6bd4\u4f8b\u3057\u306a\u3044\u305f\u3081\u3001\u7dda\u306f\u4e92\u3044\u306b\u63a5\u89e6\u3059\u308b\u304b\u4ea4\u5dee\u3059\u308b\u3053\u3068\u3057\u304b\u3067\u304d\u307e\u305b\u3093\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u65b9\u5411\u30d9\u30af\u30c8\u30eb\u3068\u5404\u76f4\u7dda\u4e0a\u306e\u70b9\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-225a68c152f54a250471b7c4c2254b89_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{vmatrix} \\text{v}}_x &amp; \\text{v}}_x' &amp; P_x-P_x' \\\\[1.1ex] \\text{v}}_y &amp; \\text{v}}_y' &amp; P_y-P_y' \\\\[1.1ex]\\text{v}}_z &amp; \\text{v}}_z' &amp; P_z-P_z' \\end{vmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"86\" width=\"138\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u5024\u3092\u5f0f\u306b\u4ee3\u5165\u3057\u307e\u3059\u3002<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-fac3bc2228451f94261e296aeecb5de6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{vmatrix} 4 &amp; 1 &amp; 2-1 \\\\[1.1ex] -1 &amp; 2 &amp; 0-(-3) \\\\[1.1ex]1&amp; 0 &amp; 1-1 \\end{vmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"86\" width=\"139\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u305d\u3057\u3066\u3001\u884c\u5217\u5f0f\u3092\u8a08\u7b97\u3057\u307e\u3059\u3002\u3053\u308c\u306b\u306f\u3001\u4efb\u610f\u306e\u65b9\u6cd5 (Sarrus \u30eb\u30fc\u30eb\u3001\u88dc\u6570\u307e\u305f\u306f\u4f59\u56e0\u5b50\u306e\u65b9\u6cd5\u306a\u3069) \u3092\u4f7f\u7528\u3067\u304d\u307e\u3059\u3002<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-538af230a8105fceefc5a30f41237ea3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{vmatrix} 4 &amp; 1 &amp; 1 \\\\[1.1ex] -1 &amp; 2 &amp; 3 \\\\[1.1ex]1&amp; 0 &amp; 0 \\end{vmatrix} = 1\" title=\"Rendered by QuickLaTeX.com\" height=\"86\" width=\"116\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u5224\u5b9a\u306e\u7d50\u679c\u304c\u30bc\u30ed\u3067\u3042\u3063\u305f\u5834\u5408\u3001\u3053\u308c\u306f\u7dda\u304c\u4ea4\u5dee\u3059\u308b\uff08\u63a5\u89e6\u3059\u308b\uff09\u3053\u3068\u3092\u610f\u5473\u3059\u308b\u3002\u3057\u304b\u3057\u3001\u884c\u5217\u5f0f\u306f 0 \u3068\u306f\u7570\u306a\u308b\u305f\u3081\u3001<strong>\u7dda\u306f\u4ea4\u5dee\u3057\u307e\u3059<\/strong>\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"hallar-la-posicion-relativa-de-dos-rectas-por-rangos\"><\/span> 2\u884c\u306e\u76f8\u5bfe\u4f4d\u7f6e\u3092\u884c\u3054\u3068\u306b\u6c42\u3081\u308b<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>2 \u3064\u306e\u884c\u306e\u76f8\u5bfe\u4f4d\u7f6e\u3092\u898b\u3064\u3051\u308b\u3082\u3046 1 \u3064\u306e\u65b9\u6cd5\u306f\u3001\u6b21\u306b\u8aac\u660e\u3059\u308b\u3088\u3046\u306b\u30012 \u3064\u306e\u5177\u4f53\u7684\u306a\u884c\u5217\u306e\u30e9\u30f3\u30af\u3092\u8a08\u7b97\u3059\u308b\u3053\u3068\u3067\u3059\u3002\u3053\u306e\u65b9\u6cd5\u306f\u30012 \u3064\u306e\u76f4\u7dda\u304c\u6697\u9ed9\u7684\u306a (\u307e\u305f\u306f\u4e00\u822c\u7684\u306a) \u65b9\u7a0b\u5f0f\u5f62\u5f0f\u3067\u3042\u308b\u5834\u5408\u306b\u975e\u5e38\u306b\u5f79\u7acb\u3061\u307e\u3059\u3002<\/p>\n<p>\u3057\u305f\u304c\u3063\u3066\u30013 \u6b21\u5143\u7a7a\u9593 (R3) \u3067\u6697\u9ed9\u7684\u306a (\u307e\u305f\u306f\u4e00\u822c\u7684\u306a) \u65b9\u7a0b\u5f0f\u3067\u8868\u73fe\u3055\u308c\u305f 2 \u3064\u306e\u76f4\u7dda\u304c\u3042\u308b\u3068\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-500405383e97627c17d01023fd9dd198_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle r: \\ \\begin{cases}A_1x+B_1y+C_1z+D_1=0 \\\\[2ex] A_2x+B_2y+C_2z+D_2=0 \\end{cases}\" title=\"Rendered by QuickLaTeX.com\" height=\"65\" width=\"256\" 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-1c96b6990dae5ce476ee55689cf4f4fb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle s: \\ \\begin{cases}A_3x+B_3y+C_3z+D_3=0 \\\\[2ex] A_4x+B_4y+C_4z+D_4=0 \\end{cases}\" title=\"Rendered by QuickLaTeX.com\" height=\"65\" width=\"256\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> A \u3092 2 \u3064\u306e\u30e9\u30a4\u30f3\u306e\u4fc2\u6570\u3067\u69cb\u6210\u3055\u308c\u308b\u884c\u5217\u3068\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-9199790c5f157691d9307604f25fc873_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A=\\begin{pmatrix}A_1 &amp; B_1 &amp; C_1\\\\[1.1ex]A_2 &amp; B_2 &amp; C_2\\\\[1.1ex]A_3 &amp; B_3 &amp; C_3\\\\[1.1ex]A_4 &amp; B_4 &amp; C_4 \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"108\" width=\"158\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u305d\u3057\u3066\u3001\u62e1\u5f35\u884c\u5217 A&#8217; \u3092\u8003\u3048\u308b\u3068\u3001\u3053\u308c\u306f 2 \u884c\u306e\u3059\u3079\u3066\u306e\u30d1\u30e9\u30e1\u30fc\u30bf\u306b\u3088\u3063\u3066\u5f62\u6210\u3055\u308c\u308b\u884c\u5217\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-f087aea2d9209341c2acf240eab2bc77_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A'=\\begin{pmatrix}A_1 &amp; B_1 &amp; C_1&amp;D_1\\\\[1.1ex]A_2 &amp; B_2 &amp; C_2&amp;D_2\\\\[1.1ex]A_3 &amp; B_3 &amp; C_3&amp;D_3\\\\[1.1ex]A_4 &amp; B_4 &amp; C_4&amp;D_4 \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"108\" width=\"201\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u6b21\u306b\u30012 \u3064\u306e\u884c\u306e\u76f8\u5bfe\u4f4d\u7f6e\u306f\u3001\u6b21\u306e\u8868\u306b\u5f93\u3063\u3066\u3001\u524d\u306e 2 \u3064\u306e\u884c\u5217\u306e\u7bc4\u56f2\u306b\u3088\u3063\u3066\u6c7a\u5b9a\u3067\u304d\u307e\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\/positions-relatives-de-deux-lignes-par-plages.webp\" alt=\"\u884c\u3054\u3068\u306e 2 \u884c\u306e\u76f8\u5bfe\u4f4d\u7f6e\" class=\"wp-image-2752\" width=\"494\" height=\"223\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p><strong>\u3057\u305f\u304c\u3063\u3066\u30012 \u3064\u306e\u884c\u9593\u306e\u76f8\u5bfe\u4f4d\u7f6e\u3092\u898b\u3064\u3051\u308b\u306b\u306f\u30012 \u3064\u306e\u884c\u5217\u306e\u30e9\u30f3\u30af\u3092\u8a08\u7b97\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u3001\u5404\u884c\u5217\u306e\u30e9\u30f3\u30af\u306b\u5fdc\u3058\u3066\u3069\u3061\u3089\u304b\u306e\u30b1\u30fc\u30b9\u306b\u306a\u308a\u307e\u3059\u3002<\/strong><\/p>\n<p>\u3053\u306e\u5b9a\u7406\u306f\u30eb\u30fc\u30b7\u30a7-\u30d5\u30ed\u30d9\u30cb\u30a6\u30b9\u306e\u5b9a\u7406 (\u9023\u7acb\u4e00\u6b21\u65b9\u7a0b\u5f0f\u3092\u89e3\u304f\u305f\u3081\u306b\u4f7f\u7528\u3055\u308c\u308b\u65b9\u6cd5) \u3092\u4f7f\u7528\u3057\u3066\u8a3c\u660e\u3067\u304d\u307e\u3059\u304c\u3001\u975e\u5e38\u306b\u9762\u5012\u3067\u3042\u307e\u308a\u8ffd\u52a0\u3057\u306a\u3044\u305f\u3081\u3001\u3053\u306e\u30da\u30fc\u30b8\u3067\u306f\u8a3c\u660e\u3092\u884c\u3044\u307e\u305b\u3093\u3002 <\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplo-de-como-hallar-la-posicion-relativa-de-dos-rectas-por-rangos\"><\/span>\u7bc4\u56f2\u306b\u3088\u3063\u3066 2 \u3064\u306e\u7dda\u306e\u76f8\u5bfe\u4f4d\u7f6e\u3092\u6c42\u3081\u308b\u65b9\u6cd5\u306e\u4f8b<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>2 \u884c\u9593\u306e\u76f8\u5bfe\u4f4d\u7f6e\u306b\u95a2\u3059\u308b\u7406\u8ad6\u3092\u884c\u3054\u3068\u306b\u7406\u89e3\u3057\u305f\u3089\u3001\u4f8b\u3092\u901a\u3057\u3066\u305d\u308c\u304c\u3069\u306e\u3088\u3046\u306b\u5b9f\u8df5\u3055\u308c\u308b\u304b\u3092\u898b\u3066\u307f\u307e\u3057\u3087\u3046\u3002<\/p>\n<ul>\n<li>\u6b21\u306e 2 \u3064\u306e\u884c\u306e\u76f8\u5bfe\u4f4d\u7f6e\u3092\u898b\u3064\u3051\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-0d930886e4afd4cd3b14f1bd788c6da5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle r: \\ \\begin{cases}3x+2y+z+4=0 \\\\[2ex] 4x+2z+2=0 \\end{cases}\" title=\"Rendered by QuickLaTeX.com\" height=\"65\" width=\"198\" 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-7704e8cf4de26fa0c249eaabdefa4150_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle s: \\ \\begin{cases}3x+4z-1=0 \\\\[2ex] x-5y-2z-2=0 \\end{cases}\" title=\"Rendered by QuickLaTeX.com\" height=\"65\" width=\"197\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> 2 \u3064\u306e\u76f4\u7dda\u306f\u4e00\u822c (\u307e\u305f\u306f\u6697\u9ed9\u7684\u306a) \u65b9\u7a0b\u5f0f\u306e\u5f62\u5f0f\u306b\u306a\u3063\u3066\u3044\u308b\u305f\u3081\u3001\u30e9\u30f3\u30af\u6cd5\u3092\u4f7f\u7528\u3057\u3066 2 \u3064\u306e\u76f4\u7dda\u9593\u306e\u76f8\u5bfe\u4f4d\u7f6e\u3092\u898b\u3064\u3051\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u884c\u306e\u4fc2\u6570\u3092\u4f7f\u7528\u3057\u3066\u884c\u5217 A \u3068\u62e1\u5f35\u884c\u5217 A&#8217; \u3092\u69cb\u7bc9\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-3726bfaa82678d1fffdbae281882572a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A=\\begin{pmatrix}3 &amp; 2 &amp; 1\\\\[1.1ex]4 &amp; 0 &amp; 2\\\\[1.1ex]3 &amp; 0 &amp; 4\\\\[1.1ex]1 &amp; -5 &amp; -2 \\end{pmatrix} \\qquad \\qquad A'=\\begin{pmatrix}3 &amp; 2 &amp; 1&amp;4\\\\[1.1ex]4 &amp; 0 &amp; 2&amp;2\\\\[1.1ex]3 &amp; 0 &amp; 4&amp;-1\\\\[1.1ex]1 &amp; -5 &amp; -2 &amp;-2  \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"107\" width=\"422\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u4e21\u65b9\u306e\u884c\u5217\u3092\u53d6\u5f97\u3057\u305f\u3089\u3001\u305d\u308c\u305e\u308c\u306e\u9806\u4f4d\u3092\u8a08\u7b97\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002\u307e\u305a\u3001\u884c\u5217\u5f0f\u306b\u3088\u3063\u3066\u884c\u5217 A \u306e\u30e9\u30f3\u30af\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-18eb85dd3870c1e7c865705200cf6414_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"rg(A)= \\ ?\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"77\" 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-1e643845acc44a30e16f7628e85955d0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\begin{vmatrix}3 &amp; 2 &amp; 1\\\\[1.1ex]4 &amp; 0 &amp; 2\\\\[1.1ex]3 &amp; 0 &amp; 4 \\end{vmatrix}  = -20 \\bm{\\neq 0}\" title=\"Rendered by QuickLaTeX.com\" height=\"86\" width=\"152\" 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-466d66279a42e8aeb422d568e1547ef9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"rg(A)=3\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"77\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u884c\u5217 A \u306b\u306f\u975e\u30bc\u30ed 3\u00d73 \u90e8\u5206\u884c\u5217\u306e\u884c\u5217\u5f0f\u304c\u542b\u307e\u308c\u3066\u3044\u308b\u305f\u3081\u3001<strong>\u884c\u5217 A \u306e\u30e9\u30f3\u30af\u306f 3 \u306b\u306a\u308a\u307e\u3059<\/strong>\u3002<\/p>\n<p>\u6b21\u306b\u3001\u62e1\u5f35\u884c\u5217 A&#8217; \u306e\u7bc4\u56f2\u3092\u8a08\u7b97\u3057\u307e\u3059\u3002\u884c\u5217 A&#8217; \u306f\u5e38\u306b\u5c11\u306a\u304f\u3068\u3082\u884c\u5217 A \u306e\u30e9\u30f3\u30af\u306b\u3042\u308a\u3001\u3053\u306e\u5834\u5408\u306f 3 \u306e\u4fa1\u5024\u304c\u3042\u308b\u305f\u3081\u3001\u30e9\u30f3\u30af 4 \u3067\u3042\u308b\u304b\u30e9\u30f3\u30af 3 \u3067\u3042\u308b\u304b\u3092\u78ba\u8a8d\u3059\u308b\u3060\u3051\u3067\u5341\u5206\u3067\u3059\u3002\u3053\u308c\u3092\u884c\u3046\u306b\u306f\u3001\u884c\u5217\u5f0f\u3092\u89e3\u304d\u307e\u3059\u3002 4x \u884c\u5217 4 \u3092\u52a0\u7b97 (\u307e\u305f\u306f\u4f59\u56e0\u5b50) \u306b\u3088\u3063\u3066\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-d97c98cb8c416b0ce39b18628124923c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"rg(A')= \\ ?\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"82\" 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-dd21ed058cb7405e6aee811315086225_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle det(A')=\\begin{vmatrix}3 &amp; 2 &amp; 1&amp;4\\\\[1.1ex]4 &amp; 0 &amp; 2&amp;2\\\\[1.1ex]3 &amp; 0 &amp; 4&amp;-1\\\\[1.1ex]1 &amp; -5 &amp; -2 &amp;-2 \\end{vmatrix} =\" title=\"Rendered by QuickLaTeX.com\" height=\"108\" width=\"234\" 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-0f99f68649b9ca6274e4531a1d172315_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle =3 \\cdot\\begin{vmatrix} 0 &amp; 2&amp;2\\\\[1.1ex] 0 &amp; 4&amp;-1\\\\[1.1ex] -5 &amp; -2 &amp;-2 \\end{vmatrix}-2\\cdot\\begin{vmatrix}4 &amp; 2&amp;2\\\\[1.1ex]3 &amp; 4&amp;-1\\\\[1.1ex]1 &amp; -2 &amp;-2 \\end{vmatrix}+1\\cdot\\begin{vmatrix}4 &amp; 0 &amp;2\\\\[1.1ex]3 &amp; 0 &amp; -1\\\\[1.1ex]1 &amp; -5 &amp; -2 \\end{vmatrix}-4\\cdot \\begin{vmatrix}4 &amp; 0 &amp; 2\\\\[1.1ex]3 &amp; 0 &amp; 4\\\\[1.1ex]1 &amp; -5 &amp; -2 \\end{vmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"86\" width=\"553\" 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-39e083e5164c9719ef34fae3bcc2fe29_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle =3 \\cdot 50-2\\cdot(-50)+1\\cdot(-50)-4\\cdot 50\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"297\" 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-3de941669508660aa0a9173155a34685_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle =150+100-50-200\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"182\" 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-df99174f84ad1be8de3746d1ed3e245c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\bm{=0}\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"28\" 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-e8c9889f409b449fd7809f4e02394de2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"rg(A')=3\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"82\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u62e1\u5f35\u884c\u5217\u5168\u4f53\u306e\u884c\u5217\u5f0f\u306f\u30bc\u30ed\u3067\u3042\u308b\u305f\u3081\u3001<strong>\u884c\u5217 A&#8217; \u3082\u30e9\u30f3\u30af 3 \u306b\u306a\u308a\u307e\u3059<\/strong>\u3002<\/p>\n<p>\u3057\u305f\u304c\u3063\u3066\u3001\u884c\u5217 A \u3068\u884c\u5217 A&#8217; \u306f\u30e9\u30f3\u30af 3 \u3067\u3042\u308b\u305f\u3081\u3001 <strong>2 \u3064\u306e\u7dda\u306f\u4ea4\u5dee\u3057\u307e\u3059<\/strong>\u3002\u3064\u307e\u308a\u3001\u305d\u308c\u3089\u306e\u9593\u306b\u306f\u4ea4\u5dee\u70b9\u304c 1 \u3064\u3060\u3051\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-48635c0a23e1d45677b03099c38205e7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\color{orange} \\boxed{\\color{black} \\quad rg(A) = rg(A')= 3 \\quad \\longrightarrow \\quad \\text{Rectas Secantes} \\quad \\vphantom{\\Bigl(}}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"488\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p>\u4e0a\u306e\u8868\u306f\u3001\u884c\u5217 A \u3068 A&#8217; \u306e\u7bc4\u56f2\u306b\u5fdc\u3058\u305f 2 \u3064\u306e\u7dda\u306e\u9593\u306e\u76f8\u5bfe\u4f4d\u7f6e\u306e\u8003\u3048\u3089\u308c\u308b\u3059\u3079\u3066\u306e\u30b1\u30fc\u30b9\u3092\u307e\u3068\u3081\u305f\u3082\u306e\u3067\u3042\u308b\u3053\u3068\u306b\u6ce8\u610f\u3057\u3066\u304f\u3060\u3055\u3044\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejercicios-resueltos-de-la-posicion-relativa-entre-dos-rectas-en-el-espacio\"><\/span>\u7a7a\u9593\u5185\u306e 2 \u3064\u306e\u7dda\u306e\u9593\u306e\u76f8\u5bfe\u4f4d\u7f6e\u306e\u554f\u984c\u3092\u89e3\u6c7a\u3057\u307e\u3057\u305f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<h3 class=\"wp-block-heading\">\u6f14\u7fd2 1<\/h3>\n<p>\u6b21\u306e 2 \u3064\u306e\u884c\u306e\u9593\u306e\u76f8\u5bfe\u4f4d\u7f6e\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-0ee51f157ce008a022df46fc1930955e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"r: \\ (x,y,z)=(3,4,0)+t(2,1,-3)\" 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-b3980ce534f631ae1f4781492158bcd7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"s: \\ (x,y,z)=(1,-2,2)+t(0,5,1)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"264\" 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\">\u4e21\u65b9\u306e\u76f4\u7dda\u306f\u30d9\u30af\u30c8\u30eb\u65b9\u7a0b\u5f0f\u3068\u3057\u3066\u8868\u3055\u308c\u308b\u305f\u3081\u3001\u5404\u76f4\u7dda\u306e 1 \u70b9 1 \u30d9\u30af\u30c8\u30eb\u6cd5\u304b\u3089 2 \u3064\u306e\u76f4\u7dda\u9593\u306e\u76f8\u5bfe\u4f4d\u7f6e\u3092\u6c42\u3081\u307e\u3059\u3002<\/p>\n<p class=\"has-text-align-left\">\u5404\u30e9\u30a4\u30f3\u306e\u65b9\u5411\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-0112cb63d5449bc1868594300ae69609_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{r} =(2,1,-3) \\qquad \\qquad \\vv{s}=(0,5,1)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"260\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u5404\u884c\u306b\u5c5e\u3059\u308b\u70b9\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-62532678cedab3090235b715a54792d8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"R(3,4,0)\\qquad \\qquad S(1,-2,2)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"222\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u3057\u305f\u304c\u3063\u3066\u3001\u3053\u306e\u624b\u9806\u3092\u9069\u7528\u3059\u308b\u306b\u306f\u3001\u307e\u305a\u65b9\u5411\u30d9\u30af\u30c8\u30eb\u306e\u6210\u5206\u304c\u6bd4\u4f8b\u3057\u3066\u3044\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-c9d7a07d74505c2794d50f3ecb878ed7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{2}{0} \\neq \\cfrac{1}{5} \\neq \\cfrac{-3}{1} \\quad \\longrightarrow \\quad \\text{No proporcionales}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"314\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> 2 \u3064\u306e\u30d9\u30af\u30c8\u30eb\u306f\u4e92\u3044\u306b\u6bd4\u4f8b\u3057\u306a\u3044\u305f\u3081\u3001\u7dda\u306f\u4ea4\u5dee\u307e\u305f\u306f\u4ea4\u5dee\u3059\u308b\u3053\u3068\u3057\u304b\u3067\u304d\u307e\u305b\u3093\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u65b9\u5411\u30d9\u30af\u30c8\u30eb\u3068\u5404\u76f4\u7dda\u4e0a\u306e\u70b9\u3067\u69cb\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-225a68c152f54a250471b7c4c2254b89_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{vmatrix} \\text{v}}_x &amp; \\text{v}}_x' &amp; P_x-P_x' \\\\[1.1ex] \\text{v}}_y &amp; \\text{v}}_y' &amp; P_y-P_y' \\\\[1.1ex]\\text{v}}_z &amp; \\text{v}}_z' &amp; P_z-P_z' \\end{vmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"86\" width=\"138\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u5024\u3092\u5f0f\u306b\u4ee3\u5165\u3057\u307e\u3059\u3002<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-b5b88268ae0a4248a6289d0f789250a9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{vmatrix} 2 &amp; 0 &amp; 3-1 \\\\[1.1ex] 1 &amp; 5 &amp; 4-(-2) \\\\[1.1ex]-3&amp; 1 &amp; 0-2 \\end{vmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"86\" width=\"139\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u305d\u3057\u3066\u884c\u5217\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-99043262ed64a3fce660dc55e943a93a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{vmatrix} 2 &amp; 0 &amp; 2 \\\\[1.1ex] 1 &amp; 5 &amp; 6 \\\\[1.1ex]-3&amp; 1 &amp; -2 \\end{vmatrix}= 0\" title=\"Rendered by QuickLaTeX.com\" height=\"86\" width=\"125\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u6c7a\u5b9a\u5b50\u306e\u7d50\u679c\u306f 0 \u306b\u7b49\u3057\u3044\u305f\u3081\u3001<strong>\u7dda\u306f\u4ea4\u5dee\u3057\u307e\u3059<\/strong>\u3002<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\">\u6f14\u7fd2 2<\/h3>\n<p>\u6b21\u306e 2 \u3064\u306e\u884c\u306e\u76f8\u5bfe\u4f4d\u7f6e\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-1848a24fa2901265ca9b0d141c7e2d4b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  r: \\ \\begin{cases} x=3+2t \\\\[1.7ex] y=1+3t \\\\[1.7ex] z=2-t \\end{cases} \\qquad \\qquad s: \\ \\cfrac{x+1}{-4}=\\cfrac{y+5}{-6} = \\cfrac{z-4}{2}\" title=\"Rendered by QuickLaTeX.com\" height=\"107\" width=\"421\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E4F0FE\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E4F0FE\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"><strong>\u89e3\u6c7a\u7b56\u3092\u53c2\u7167<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\">\u6700\u521d\u306e\u884c\u306f\u30d1\u30e9\u30e1\u30c8\u30ea\u30c3\u30af\u65b9\u7a0b\u5f0f\u306e\u5f62\u5f0f\u3067\u30012 \u884c\u76ee\u306f\u9023\u7d9a\u65b9\u7a0b\u5f0f\u306e\u5f62\u5f0f\u3067\u3042\u308a\u3001\u3053\u308c\u3092\u4f7f\u7528\u3057\u3066\u3001\u5404\u7dda\u306e 1 \u70b9\u30d9\u30af\u30c8\u30eb\u6cd5\u304b\u3089 2 \u3064\u306e\u7dda\u306e\u9593\u306e\u76f8\u5bfe\u4f4d\u7f6e\u3092\u6c7a\u5b9a\u3057\u307e\u3059\u3002<\/p>\n<p class=\"has-text-align-left\">\u53f3\u306e\u65b9\u5411\u30d9\u30af\u30c8\u30eb\u306e\u5ea7\u6a19<\/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>\u30d1\u30e9\u30e1\u30fc\u30bf\u306e\u524d\u306e\u4fc2\u6570\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-3bdeeaff7b1444be22ec3b07e3219ac5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"t,\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"10\" style=\"vertical-align: -4px;\"><\/p>\n<p>\u3068\u7dda\u306e\u65b9\u5411\u30d9\u30af\u30c8\u30eb\u306e\u5ea7\u6a19<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-ae1901659f469e6be883797bfd30f4f8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"s\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"8\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u306f\u5206\u6bcd\u306e\u6570\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-a5b857b3af4daf70ac0819c2c43dccce_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{r} =(2,3,-1) \\qquad \\qquad \\vv{s}=(-4,-6,2)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"288\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u5404\u884c\u306b\u5c5e\u3059\u308b\u70b9\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-5e174175d9f030d32e11a291f9478360_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"R(3,1,2)\\qquad \\qquad S(-1,-5,4)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"235\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u3057\u305f\u304c\u3063\u3066\u3001\u3053\u306e\u624b\u9806\u3092\u9069\u7528\u3059\u308b\u306b\u306f\u3001\u307e\u305a\u65b9\u5411\u30d9\u30af\u30c8\u30eb\u306e\u6210\u5206\u304c\u6bd4\u4f8b\u3057\u3066\u3044\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-53e7c51a55384b233a7d54ad4a710600_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{2}{-4} = \\cfrac{3}{-6}= \\cfrac{-1}{2} \\quad \\longrightarrow \\quad \\text{Proporcionales}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"316\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> 2 \u3064\u306e\u30d9\u30af\u30c8\u30eb\u306f\u4e92\u3044\u306b\u6bd4\u4f8b\u3059\u308b\u305f\u3081\u3001\u7dda\u306f\u5e73\u884c\u307e\u305f\u306f\u4e00\u81f4\u3059\u308b\u3053\u3068\u3057\u304b\u3042\u308a\u307e\u305b\u3093\u3002\u3053\u306e\u7591\u5ff5\u3092\u53d6\u308a\u9664\u304f\u306b\u306f\u3001\u7dda\u4e0a\u306e\u70b9\u3092\u7f6e\u304d\u63db\u3048\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-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>\u76f4\u7dda\u306e\u65b9\u7a0b\u5f0f\u306e\u4e2d\u3067<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-ae1901659f469e6be883797bfd30f4f8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"s\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"8\" style=\"vertical-align: 0px;\"><\/p>\n<p>\uff08\u307e\u305f\u306f\u305d\u306e\u9006\uff09\u4e0a\u8a18\u306e\u65b9\u7a0b\u5f0f\u3092\u6e80\u305f\u3059\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-539533362856566b59b5d14d058dda23_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"R(3,1,2) \\ \\longrightarrow \\ \\cfrac{x+1}{-4}=\\cfrac{y+5}{-6} = \\cfrac{z-4}{2}\" title=\"Rendered by QuickLaTeX.com\" height=\"39\" width=\"294\" 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-ec6e9d0de4528399fec953e4db21063e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{3+1}{-4}=\\cfrac{1+5}{-6} = \\cfrac{2-4}{2}\" title=\"Rendered by QuickLaTeX.com\" height=\"39\" width=\"170\" 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-4cfe9c6942d02fe58a00c5ee85055405_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{4}{-4}=\\cfrac{6}{-6} = \\cfrac{-2}{2}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"127\" 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-e236b00fec23266ff19f015885c2dbd6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"-1=-1 = -1\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"114\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u7dda\u5206\u306e\u70b9\u3092\u7f6e\u304d\u63db\u3048\u308b\u3053\u3068\u306b\u3088\u3063\u3066\u7b49\u53f7\u304c\u5f97\u3089\u308c\u3001\u4e00\u65b9\u306e\u7dda\u306e\u70b9\u304c\u3082\u3046\u4e00\u65b9\u306e\u7dda\u306e\u65b9\u7a0b\u5f0f\u3092\u6e80\u305f\u3057\u3001\u3055\u3089\u306b\u305d\u308c\u3089\u306e\u65b9\u5411\u30d9\u30af\u30c8\u30eb\u304c\u6bd4\u4f8b\u3057\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001 <strong>2 \u3064\u306e\u7dda\u306f\u4e00\u81f4\u3057\u307e\u3059\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 2 \u3064\u306e\u884c\u306e\u76f8\u5bfe\u4f4d\u7f6e\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-33fbac4dc2933022ff39a0ed9d457200_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle r: \\ \\begin{cases}2x-2y-2z+5=0 \\\\[2ex] 2x-y-1=0 \\end{cases}\" title=\"Rendered by QuickLaTeX.com\" height=\"65\" width=\"206\" 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-8afae699c3b46dc2153236605e254fdc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle s: \\ \\begin{cases}4x-y+2z+3=0 \\\\[2ex] x-2y-3z+6=0 \\end{cases}\" title=\"Rendered by QuickLaTeX.com\" height=\"65\" width=\"197\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E4F0FE\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E4F0FE\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"><strong>\u89e3\u6c7a\u7b56\u3092\u53c2\u7167<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\">2 \u3064\u306e\u76f4\u7dda\u306f\u4e00\u822c\u7684\u306a (\u307e\u305f\u306f\u6697\u9ed9\u7684\u306a) \u65b9\u7a0b\u5f0f\u5f62\u5f0f\u3067\u3042\u308b\u305f\u3081\u3001\u30e9\u30f3\u30af\u6cd5\u3092\u4f7f\u7528\u3057\u3066 2 \u3064\u306e\u76f4\u7dda\u9593\u306e\u76f8\u5bfe\u4f4d\u7f6e\u3092\u898b\u3064\u3051\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u884c\u306e\u4fc2\u6570\u3092\u4f7f\u7528\u3057\u3066\u884c\u5217 A \u3068\u62e1\u5f35\u884c\u5217 A&#8217; \u3092\u4f5c\u6210\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-6133960b0b951ec6c455384a1b2274c5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A=\\begin{pmatrix}2 &amp; -2 &amp; -2\\\\[1.1ex]2 &amp; -1 &amp; 0\\\\[1.1ex]4 &amp; -1 &amp; 2\\\\[1.1ex]1 &amp; -2 &amp; -3\\end{pmatrix} \\qquad \\qquad A'=\\begin{pmatrix}2 &amp; -2 &amp; -2&amp;5\\\\[1.1ex]2 &amp; -1 &amp; 0&amp;-1\\\\[1.1ex]4 &amp; -1 &amp; 2&amp;3\\\\[1.1ex]1 &amp; -2 &amp; -3&amp;6  \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"108\" width=\"422\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u4e21\u65b9\u306e\u884c\u5217\u3092\u53d6\u5f97\u3057\u305f\u3089\u3001\u305d\u308c\u305e\u308c\u306e\u9806\u4f4d\u3092\u8a08\u7b97\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002\u307e\u305a\u3001\u884c\u5217\u5f0f\u306b\u3088\u3063\u3066\u884c\u5217 A \u306e\u30e9\u30f3\u30af\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-18eb85dd3870c1e7c865705200cf6414_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"rg(A)= \\ ?\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"77\" 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-85353e6e57de74332ffdb3d5cd44caaa_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\begin{vmatrix}2 &amp; -2 &amp; -2\\\\[1.1ex]2 &amp; -1 &amp; 0\\\\[1.1ex]4 &amp; -1 &amp; 2 \\end{vmatrix} =0 \\qquad \\begin{vmatrix}2 &amp; -2 &amp; -2\\\\[1.1ex]2 &amp; -1 &amp; 0\\\\[1.1ex]1 &amp; -2 &amp; -3 \\end{vmatrix}=0\" title=\"Rendered by QuickLaTeX.com\" height=\"86\" width=\"298\" 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-d33b143e636093057c08fbcd9d91ab54_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\begin{vmatrix}2 &amp; -2 &amp; -2\\\\[1.1ex]4 &amp; -1 &amp; 2\\\\[1.1ex]1 &amp; -2 &amp; -3 \\end{vmatrix} =0 \\qquad \\begin{vmatrix}2 &amp; -1 &amp; 0\\\\[1.1ex]4 &amp; -1 &amp; 2\\\\[1.1ex]1 &amp; -2 &amp; -3 \\end{vmatrix}=0\" title=\"Rendered by QuickLaTeX.com\" height=\"86\" width=\"298\" 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-5b4b570b6d9d92b7974b11afbe0939bd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\begin{vmatrix}2 &amp; -2 \\\\[1.1ex]2 &amp; -1 \\end{vmatrix}=2 \\neq 0\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"123\" 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-6865ac4ae80c8b5a6eff791a9da5a937_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"rg(A)=2\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"76\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u884c\u5217 A \u306e 3&#215;3 \u884c\u5217\u5f0f\u306f\u3059\u3079\u3066 0 \u3067\u3059\u304c\u3001\u884c\u5217\u5185\u306b 0 \u4ee5\u5916\u306e 2&#215;2 \u884c\u5217\u5f0f\u304c\u3042\u308b\u305f\u3081\u3001<strong>\u884c\u5217 A \u306e\u30e9\u30f3\u30af\u306f 2 \u306b\u306a\u308a\u307e\u3059<\/strong>\u3002<\/p>\n<p class=\"has-text-align-left\">\u6b21\u306b\u3001\u62e1\u5f35\u884c\u5217 A&#8217; \u306e\u7bc4\u56f2\u3092\u8a08\u7b97\u3057\u307e\u3059\u3002\u884c\u5217 A&#8217; \u306f\u5e38\u306b\u5c11\u306a\u304f\u3068\u3082\u884c\u5217 A \u306e\u7bc4\u56f2 (\u3053\u306e\u5834\u5408\u306f 2) \u306b\u306a\u308b\u305f\u3081\u3001\u76f8\u6bba\u3055\u308c\u306a\u3044 3\u00d73 \u884c\u5217\u5f0f\u304c\u3042\u308b\u304b\u3069\u3046\u304b\u3001\u307e\u305f\u884c\u5217\u5f0f\u304c\u3069\u306e\u7a0b\u5ea6\u3067\u3042\u308b\u304b\u3092\u78ba\u8a8d\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002\u30de\u30c8\u30ea\u30c3\u30af\u30b9\u5168\u4f53: <\/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-d97c98cb8c416b0ce39b18628124923c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"rg(A')= \\ ?\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"82\" 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-d253c404b2ac9caf3119795e80acfbfb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\displaystyle \\begin{vmatrix}2 &amp; -2 &amp; 5\\\\[1.1ex]2 &amp; -1 &amp;-1\\\\[1.1ex]4 &amp; -1 &amp;3\\end{vmatrix}=22 \\neq 0\" title=\"Rendered by QuickLaTeX.com\" height=\"86\" width=\"170\" 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-8744aa6a413d43832344c6eba827c7e6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle det(A')=\\begin{vmatrix}2 &amp; -2 &amp; -2&amp;5\\\\[1.1ex]2 &amp; -1 &amp; 0&amp;-1\\\\[1.1ex]4 &amp; -1 &amp; 2&amp;3\\\\[1.1ex]1 &amp; -2 &amp; -3&amp;6 \\end{vmatrix}=0\" title=\"Rendered by QuickLaTeX.com\" height=\"108\" width=\"249\" 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-e8c9889f409b449fd7809f4e02394de2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"rg(A')=3\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"82\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u62e1\u5f35\u884c\u5217 A&#8217; \u306b\u306f\u78ba\u304b\u306b 3\u00d73 \u306e\u975e\u30bc\u30ed\u526f\u884c\u5217\u5f0f\u304c\u542b\u307e\u308c\u3066\u304a\u308a\u3001\u3055\u3089\u306b\u3001\u62e1\u5f35\u884c\u5217\u5168\u4f53\u306e\u884c\u5217\u5f0f\u306f 0 \u306b\u7b49\u3057\u3044\u305f\u3081\u3001<strong>\u884c\u5217 A&#8217; \u306e\u30e9\u30f3\u30af\u306f 3 \u306b\u306a\u308a\u307e\u3059<\/strong>\u3002<\/p>\n<p class=\"has-text-align-left\">\u3057\u305f\u304c\u3063\u3066\u3001\u884c\u5217 A \u306f\u30e9\u30f3\u30af 2 \u3067\u3042\u308a\u3001\u884c\u5217 A&#8217; \u306f\u30e9\u30f3\u30af 3 \u3067\u3042\u308b\u305f\u3081\u3001 <strong>2 \u3064\u306e\u76f4\u7dda\u306f\u5e73\u884c\u306b\u306a\u308a\u307e\u3059<\/strong>\u3002\u3064\u307e\u308a\u3001\u305d\u308c\u3089\u306b\u306f\u4f55\u306e\u5171\u901a\u70b9\u3082\u3042\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-042e97ffdc2f223e6a3ba51d9f942b5d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\color{orange} \\boxed{\\color{black} \\quad rg(A) = 2 \\neq rg(A')= 3 \\quad \\longrightarrow \\quad \\text{Rectas Paralelas} \\quad \\vphantom{\\Bigl(}}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"525\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u65b9\u6cd5\u306e\u8aac\u660e (\u4e0a\u8a18) \u3067\u306f\u3001\u884c\u5217 A \u3068 A&#8217; \u306e\u30e9\u30f3\u30af\u306b\u5fdc\u3058\u305f 2 \u3064\u306e\u30e9\u30a4\u30f3\u9593\u306e\u76f8\u5bfe\u4f4d\u7f6e\u306e\u8003\u3048\u3089\u308c\u308b\u3059\u3079\u3066\u306e\u30b1\u30fc\u30b9\u3092\u307e\u3068\u3081\u305f\u8868\u304c\u3042\u308b\u3053\u3068\u3092\u601d\u3044\u51fa\u3057\u3066\u304f\u3060\u3055\u3044\u3002<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\">\u6f14\u7fd2 4<\/h3>\n<p>\u6b21\u306e 2 \u3064\u306e\u884c\u306e\u76f8\u5bfe\u4f4d\u7f6e\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-b39d8ac101e2b4db7f5a17a3f27066b5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle r: \\ \\begin{cases}4x-y+2z=0 \\\\[2ex] x+y+3z-1=0 \\end{cases}\" title=\"Rendered by QuickLaTeX.com\" height=\"65\" width=\"189\" 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-ddbbfa691034e2f7acd17d6391e9719e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle s: \\ \\begin{cases}2x+5y-z-2=0 \\\\[2ex] 2x+3z+1=0 \\end{cases}\" title=\"Rendered by QuickLaTeX.com\" height=\"65\" width=\"197\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E4F0FE\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E4F0FE\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"><strong>\u89e3\u6c7a\u7b56\u3092\u53c2\u7167<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\">\u3053\u306e\u5834\u5408\u30012 \u3064\u306e\u76f4\u7dda\u306f\u30c7\u30ab\u30eb\u30c8 (\u307e\u305f\u306f\u6697\u9ed9\u7684) \u65b9\u7a0b\u5f0f\u5f62\u5f0f\u3067\u3042\u308b\u305f\u3081\u3001\u9806\u5e8f\u4ed8\u3051\u30e1\u30bd\u30c3\u30c9\u3092\u4f7f\u7528\u3057\u3066 2 \u3064\u306e\u76f4\u7dda\u9593\u306e\u76f8\u5bfe\u4f4d\u7f6e\u3092\u898b\u3064\u3051\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u884c\u306e\u4fc2\u6570\u3092\u4f7f\u7528\u3057\u3066\u884c\u5217 A \u3068\u62e1\u5f35\u884c\u5217 A&#8217; \u3092\u69cb\u7bc9\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-cfc6a66630bf6a5cc24f5a006db629af_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A=\\begin{pmatrix}4 &amp; -1 &amp; 2\\\\[1.1ex]1 &amp; 1 &amp; 3\\\\[1.1ex]2 &amp; 5 &amp; -1\\\\[1.1ex]2 &amp; 0 &amp; 3 \\end{pmatrix} \\qquad \\qquad A'=\\begin{pmatrix}4 &amp; -1 &amp; 2&amp;0\\\\[1.1ex]1 &amp; 1 &amp; 3&amp;-1\\\\[1.1ex]2 &amp; 5 &amp; -1&amp;-2\\\\[1.1ex]2 &amp; 0 &amp; 3 &amp;1  \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"107\" width=\"422\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> 2 \u3064\u306e\u884c\u5217\u304c\u308f\u304b\u3063\u305f\u3089\u3001\u305d\u308c\u305e\u308c\u306e\u9806\u4f4d\u3092\u8a08\u7b97\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002\u307e\u305a\u3001\u884c\u5217\u5f0f\u306b\u3088\u3063\u3066\u884c\u5217 A \u306e\u30e9\u30f3\u30af\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-18eb85dd3870c1e7c865705200cf6414_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"rg(A)= \\ ?\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"77\" 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-7a682d947fc58cb847cb2dd60f8772d8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\begin{vmatrix}4 &amp; -1 &amp; 2\\\\[1.1ex]1 &amp; 1 &amp; 3\\\\[1.1ex]2 &amp; 5 &amp; -1 \\end{vmatrix}  = -65 \\bm{\\neq 0}\" title=\"Rendered by QuickLaTeX.com\" height=\"86\" width=\"179\" 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-466d66279a42e8aeb422d568e1547ef9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"rg(A)=3\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"77\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u884c\u5217 A \u306b\u306f\u884c\u5217\u5f0f\u304c 0 \u4ee5\u5916\u306e 3\u00d73 \u90e8\u5206\u884c\u5217\u304c\u542b\u307e\u308c\u3066\u3044\u308b\u305f\u3081\u3001<strong>\u884c\u5217 A \u306e\u30e9\u30f3\u30af\u306f 3 \u306b\u306a\u308a\u307e\u3059<\/strong>\u3002<\/p>\n<p class=\"has-text-align-left\">\u6b21\u306b\u3001\u62e1\u5f35\u884c\u5217 A&#8217; \u306e\u7bc4\u56f2\u3092\u8a08\u7b97\u3057\u307e\u3059\u3002\u884c\u5217 A&#8217; \u306f\u5e38\u306b\u884c\u5217 A \u306e\u30e9\u30f3\u30af\u4ee5\u4e0a\u3067\u3042\u308a\u3001\u3053\u306e\u5834\u5408\u306f 3 \u306e\u4fa1\u5024\u304c\u3042\u308b\u305f\u3081\u3001\u30e9\u30f3\u30af 4 \u3067\u3042\u308b\u304b\u30e9\u30f3\u30af 3 \u3067\u3042\u308b\u304b\u3092\u78ba\u8a8d\u3059\u308b\u3060\u3051\u3067\u5341\u5206\u3067\u3059\u3002\u3053\u308c\u3092\u884c\u3046\u306b\u306f\u3001\u6b21\u306e\u884c\u5217\u5f0f\u3092\u89e3\u304d\u307e\u3059\u3002\u52a0\u7b97 (\u307e\u305f\u306f\u4f59\u56e0\u5b50) \u306b\u3088\u308b 4\u00d74 \u884c\u5217\u306e\u30bb\u30c3\u30c8: <\/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-d97c98cb8c416b0ce39b18628124923c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"rg(A')= \\ ?\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"82\" 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-fc223e99519a7cc9359cb6e08591e039_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle det(A')=\\begin{vmatrix}4 &amp; -1 &amp; 2&amp;0\\\\[1.1ex]1 &amp; 1 &amp; 3&amp;-1\\\\[1.1ex]2 &amp; 5 &amp; -1&amp;-2\\\\[1.1ex]2 &amp; 0 &amp; 3 &amp;1 \\end{vmatrix} =\" title=\"Rendered by QuickLaTeX.com\" height=\"108\" width=\"234\" 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-ed6f0611953cbd025d6e3bed38994fe1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle =4 \\cdot\\begin{vmatrix} 1 &amp; 3&amp;-1\\\\[1.1ex] 5 &amp; -1&amp;-2\\\\[1.1ex] 0 &amp; 3 &amp;1 \\end{vmatrix}-(-1)\\cdot\\begin{vmatrix}1  &amp; 3&amp;-1\\\\[1.1ex]2 &amp; -1 &amp; -2\\\\[1.1ex]2 &amp; 3 &amp;1 \\end{vmatrix}+2\\cdot\\begin{vmatrix}1 &amp; 1 &amp;-1\\\\[1.1ex]2 &amp; 5 &amp; -2\\\\[1.1ex]2 &amp; 0 &amp;1 \\end{vmatrix}-0\\cdot \\begin{vmatrix}1 &amp; 1 &amp; 3\\\\[1.1ex]2 &amp; 5 &amp; -1\\\\[1.1ex]2 &amp; 0 &amp; 3 \\end{vmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"86\" width=\"553\" 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-a7873f68c97807b541c64943ddddfa4a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle =4 \\cdot(-25)+1\\cdot(-21)+2\\cdot 9\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"227\" 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-b1575ce994cf8d65216e53d682fa4403_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle =-100-21+18\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"138\" 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-6184cc67c626c38b308144a4114a4de4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle =-103\\bm{\\neq0}\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"87\" 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-bd9638d9df3f5ccb112e984363d10da6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"rg(A')=4\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"82\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u62e1\u5f35\u884c\u5217\u5168\u4f53\u306e\u884c\u5217\u5f0f\u306f\u975e\u30bc\u30ed\u3067\u3042\u308b\u305f\u3081\u3001<strong>\u884c\u5217 A&#8217; \u306e\u30e9\u30f3\u30af\u306f 4 \u306b\u306a\u308a\u307e\u3059<\/strong>\u3002<\/p>\n<p class=\"has-text-align-left\">\u884c\u5217 A \u306f\u30e9\u30f3\u30af 3 \u3067\u3042\u308a\u3001\u9006\u306b\u884c\u5217 A&#8217; \u306f\u30e9\u30f3\u30af 4 \u3067\u3042\u308b\u305f\u3081\u3001 <strong>2 \u3064\u306e\u76f4\u7dda\u306f\u70b9\u3067\u4ea4\u5dee\u3057\u307e\u3059<\/strong>\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-449445957cebd657da5bda15f232ee56_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\color{orange} \\boxed{\\color{black} \\quad rg(A) = 3 \\neq rg(A')= 4 \\quad \\longrightarrow \\quad \\text{Rectas se cruzan} \\quad \\vphantom{\\Bigl(}}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"527\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u624b\u9806 (\u4e0a\u8a18) \u306e\u8aac\u660e\u3067\u306f\u3001\u884c\u5217 A \u3068 A&#8217; \u306e\u30e9\u30f3\u30af\u306b\u5fdc\u3058\u305f 2 \u3064\u306e\u30e9\u30a4\u30f3\u9593\u306e\u76f8\u5bfe\u4f4d\u7f6e\u306e\u8003\u3048\u3089\u308c\u308b\u3059\u3079\u3066\u306e\u30b1\u30fc\u30b9\u304c\u542b\u307e\u308c\u308b\u8868\u304c\u3042\u308b\u3053\u3068\u3092\u601d\u3044\u51fa\u3057\u3066\u304f\u3060\u3055\u3044\u3002<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n","protected":false},"excerpt":{"rendered":"<p>\u3053\u3053\u3067\u306f\u3001\u7a7a\u9593 (R3) \u5185\u3067\u306e 2 \u3064\u306e\u7dda\u306e\u76f8\u5bfe\u4f4d\u7f6e\u304c\u3059\u3079\u3066\u308f\u304b\u308a\u307e\u3059\u3002\u3055\u3089\u306b\u3001\u7bc4\u56f2\u306b\u3088\u308b\u65b9\u6cd5\u3001\u307e\u305f\u306f\u5404\u7dda\u306e\u70b9\u3068\u30d9\u30af\u30c8\u30eb\u304b\u3089\u306e 2 \u3064\u306e\u65b9\u6cd5\u3092\u4f7f\u7528\u3057\u3066 2 \u3064\u306e\u7dda\u306e\u9593\u306e\u76f8\u5bfe\u4f4d\u7f6e\u3092\u898b\u3064\u3051\u308b\u65b9\u6cd5\u306b\u3064\u3044\u3066\u3082\u8aac\u660e\u3057\u307e\u3059\u3002\u4f8b\u984c\u3084 &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/ja\/%e7%a9%ba%e9%96%93%e5%86%85%e3%81%ae-2-%e3%81%a4%e3%81%ae%e7%b7%9a%e3%81%ae%e7%9b%b8%e5%af%be%e4%bd%8d%e7%bd%ae-r3-%e3%81%ae%e4%be%8b%e9%a1%8c%e3%82%92%e8%a7%a3%e3%81%84%e3%81%9f%e6%bc%94%e7%bf%92\/\"> <span class=\"screen-reader-text\">\u7a7a\u9593\u5185\u306e 2 \u3064\u306e\u7dda\u306e\u76f8\u5bfe\u4f4d\u7f6e<\/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-248","post","type-post","status-publish","format-standard","hentry","category-15"],"yoast_head":"<!-- This site is optimized 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