{"id":58329,"date":"2024-03-31T14:09:52","date_gmt":"2024-03-31T14:09:52","guid":{"rendered":"https:\/\/science-hub.click\/%E8%A8%88%E7%94%BB%28%E6%95%B0%E5%AD%A6%29-%E5%AE%9A%E7%BE%A9\/"},"modified":"2024-03-31T14:09:52","modified_gmt":"2024-03-31T14:09:52","slug":"%E8%A8%88%E7%94%BB%28%E6%95%B0%E5%AD%A6%29-%E5%AE%9A%E7%BE%A9","status":"publish","type":"post","link":"https:\/\/science-hub.click\/?p=58329","title":{"rendered":"\u8a08\u753b (\u6570\u5b66) &#8211; \u5b9a\u7fa9"},"content":{"rendered":"<div><div><p>\u6570\u5b66\u3067\u306f\u3001<strong>\u5e73\u9762\u306f<\/strong>\u57fa\u672c\u7684\u306a 2 \u6b21\u5143\u30aa\u30d6\u30b8\u30a7\u30af\u30c8\u3067\u3059\u3002\u76f4\u611f\u7684\u306b\u306f\u3001<span><a href=\"https:\/\/science-hub.click\/?p=96157\">\u7121\u9650<\/a><\/span>\u306b\u5e83\u304c\u308b\u539a\u3055\u30bc\u30ed\u306e\u30b7\u30fc\u30c8\u3068\u3057\u3066\u8996\u899a\u5316\u3067\u304d\u307e\u3059\u3002\u5e7e\u4f55<span><a href=\"https:\/\/science-hub.click\/?p=976\">\u5b66<\/a><\/span>\u3068<span><a href=\"https:\/\/science-hub.click\/?p=81733\">\u4e09\u89d2\u6cd5<\/a><\/span>\u306e\u57fa\u672c\u7684\u306a\u4f5c\u696d\u306e\u307b\u3068\u3093\u3069\u306f 2 \u6b21\u5143\u3001\u3064\u307e\u308a\u5e73\u9762\u3067\u5b9f\u884c\u3055\u308c\u307e\u3059\u3002<\/p><h2><span>\u5b9a\u7fa9<\/span><\/h2><p><span><a href=\"https:\/\/science-hub.click\/?p=40098\">Euclid<\/a><\/span>\u306e\u8981\u7d20\u3067\u306f\u3001<span><a href=\"https:\/\/science-hub.click\/?p=87619\">\u5e73\u9762<\/a><\/span>\u56f3\u5f62\u306e\u6982\u5ff5\u306e\u307f\u304c\u5b9a\u7fa9\u3055\u308c\u3066\u3044\u307e\u3059\u3002\u5e73\u9762\u56f3\u5f62\u3068\u306f\u3001\u76f4\u7dda\u3067\u63cf\u304b\u308c\u305f<span><a href=\"https:\/\/science-hub.click\/?p=48998\">\u9762<\/a><\/span>\u5185\u306b\u542b\u307e\u308c\u308b\u56f3\u5f62\u306e 1<span><a href=\"https:\/\/science-hub.click\/?p=43578\">\u70b9<\/a><\/span>\u304c\u56fa\u5b9a\u3055\u308c\u30012<span><a href=\"https:\/\/science-hub.click\/?p=68283\">\u756a\u76ee\u306e<\/a><\/span>\u76f4\u7dda\u4e0a\u3092\u79fb\u52d5\u3059\u308b\u56f3\u5f62\u3067\u3059<sup class=\"reference\" id=\"_ref-0\"><span>[<\/span> 1 <span>]<\/span><\/sup> \u3002\u6b8b\u5ff5\u306a\u304c\u3089\u3001\u3053\u306e<span><a href=\"https:\/\/science-hub.click\/?p=74671\">\u5b9a\u7fa9\u306f<\/a><\/span>\u3001\u7cbe\u5ea6\u306b\u6b20\u3051\u308b<span>\u6240\u5b9a<\/span>\u306e\u8868\u9762\u5b9a\u7fa9\u306b\u4f9d\u5b58\u3057\u3066\u3044\u307e\u3059\u3002\u73fe\u5728\u306e<span><a href=\"https:\/\/science-hub.click\/?p=66499\">\u6570\u5b66<\/a><\/span>\u306e\u30d7\u30ec\u30bc\u30f3\u30c6\u30fc\u30b7\u30e7\u30f3\u3067\u306f\u3001\u30d9\u30af\u30c8\u30eb\u307e\u305f\u306f<span><a href=\"https:\/\/science-hub.click\/?p=7150\">\u30a2\u30d5\u30a3\u30f3<\/a><\/span>\u5e73\u9762\u304c\u7dda\u5f62<span><a href=\"https:\/\/science-hub.click\/?p=26454\">\u4ee3\u6570<\/a><\/span>\u306e<span>\u30aa\u30d6\u30b8\u30a7\u30af\u30c8<\/span>\u3068\u3057\u3066\u5b9a\u7fa9\u3055\u308c\u3066\u3044\u307e\u3059\u3002<\/p><dl><dd><ul><li><i>\u5e73\u9762<\/i><i>(\u30d9\u30af\u30c8\u30eb\u307e\u305f\u306f\u30a2\u30d5\u30a3\u30f3) \u306f\u3001<\/i>\u6b21\u5143 2 \u306e K<i>\u30d9\u30af\u30c8\u30eb\u7a7a\u9593\u307e\u305f\u306f<\/i>K<i>\u30a2\u30d5\u30a3\u30f3\u7a7a\u9593<\/i>\u3067\u3042\u308a<i>\u3001<\/i> K \u306f<i>\u7269\u4f53\u3092\u8868\u3057\u307e\u3059\u3002<\/i><\/li><\/ul><\/dd><\/dl><p>\u6700\u3082\u983b\u7e41\u306b\u8d77\u3053\u308b\u30b1\u30fc\u30b9\u306f\u3001\u30d5\u30a3\u30fc\u30eb\u30c9<i>K<\/i>\u304c\u5b9f\u6570\u306e\u5834\u5408\u306b\u5bfe\u5fdc\u3057\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001<span><a href=\"https:\/\/science-hub.click\/?p=46336\">\u8907\u7d20\u5e73\u9762\u306f\u3001<\/a><\/span>\u5b9f\u6570\u4f53\u4e0a\u306e<i>2<\/i><span><a href=\"https:\/\/science-hub.click\/?p=20918\">\u6b21\u5143<\/a><\/span>\u306e<span><a href=\"https:\/\/science-hub.click\/?p=5244\">\u30d9\u30af\u30c8\u30eb\u7a7a\u9593<\/a><\/span>\u3068\u307f\u306a\u3055\u308c\u308b\u8907\u7d20\u6570\u4f53\u3092\u6307\u5b9a\u3057\u307e\u3059\u3002<\/p><p>\u91cd\u8981\u306a\u30b1\u30fc\u30b9\u306f\u3001\u5e73\u9762\u304c\u5b9f\u6570\u4f53\u306e<i>3<\/i>\u6b21\u5143\u7a7a\u9593\u5185\u306e<i>2<\/i>\u6b21\u5143\u30a2\u30d5\u30a3\u30f3\u90e8\u5206\u7a7a\u9593\u3092\u6307\u5b9a\u3059\u308b\u5834\u5408\u3067\u3059\u3002\u3053\u306e<span><a href=\"https:\/\/science-hub.click\/?p=8170\">\u72b6\u6cc1\u306f<\/a><\/span>\u5358\u306b\u30b8\u30aa\u30e1\u30c8\u30ea\u3092\u30e2\u30c7\u30eb\u5316\u3057\u3066\u3044\u308b\u3060\u3051\u3067\u3059\u3002<\/p><p>\u8a08\u753b\u3092\u5b9a\u7fa9\u3059\u308b\u306b\u306f\u3001\u6b21\u306e\u3088\u3046\u306a\u3055\u307e\u3056\u307e\u306a\u65b9\u6cd5\u304c\u3042\u308a\u307e\u3059\u3002<\/p><ul><li> 3 \u3064\u306e\u7570\u306a\u308b\u4f4d\u7f6e\u5408\u308f\u305b\u3055\u308c\u3066\u3044\u306a\u3044\u70b9\u3092\u542b\u3080\u6700\u5c0f\u306e<span><a href=\"https:\/\/science-hub.click\/?p=109137\">\u30a2\u30d5\u30a3\u30f3\u7a7a\u9593<\/a><\/span>\u3002<\/li><li>\u7dda\u3068\u3053\u306e\u7dda\u306b\u5c5e\u3055\u306a\u3044\u70b9\u3092\u542b\u3080\u6700\u5c0f\u306e\u30a2\u30d5\u30a3\u30f3\u7a7a\u9593\u3002<\/li><li>\u6df7\u540c\u3055\u308c\u3066\u3044\u306a\u3044 2 \u672c\u306e\u5272\u7dda\u3092\u542b\u3080\u6700\u5c0f\u306e\u30a2\u30d5\u30a3\u30f3\u7a7a\u9593\u3002<\/li><li>\u6df7\u4e71\u306e\u306a\u3044\u5e73\u884c\u306a 2 \u672c\u306e\u7dda\u3092\u542b\u3080\u6700\u5c0f\u306e\u30a2\u30d5\u30a3\u30f3\u7a7a\u9593\u3002<\/li><li>\u70b9\u3068\u6cd5\u7dda<span><a href=\"https:\/\/science-hub.click\/?p=66129\">\u30d9\u30af\u30c8\u30eb<\/a><\/span>\u3092\u542b\u3080\u6700\u5c0f\u306e\u30a2\u30d5\u30a3\u30f3\u7a7a\u9593\u3002<\/li><li> 1 \u3064\u306e\u70b9\u3068 2 \u3064\u306e\u975e\u540c\u4e00\u7dda\u4e0a\u306e\u30d9\u30af\u30c8\u30eb\u3092\u542b\u3080\u6700\u5c0f\u306e\u30a2\u30d5\u30a3\u30f3\u7a7a\u9593\u3002<\/li><\/ul><p>\u305d\u306e\u5f8c\u3001\u6700\u5f8c\u306e 2 \u3064\u306e\u5b9a\u7fa9\u3092\u4f7f\u7528\u3057\u3066\u8a08\u753b\u306e\u65b9\u7a0b\u5f0f\u3092\u4f5c\u6210\u3057\u307e\u3059\u3002<\/p><figure class=\"wp-block-image size-large is-style-default\">\n<img decoding=\"async\" alt=\"\u8a08\u753b (\u6570\u5b66) - \u5b9a\u7fa9\" class=\"aligncenter\" onerror=\"this.style.display=none;\" src=\"https:\/\/img.youtube.com\/vi\/1R5PaJXdJco\/0.jpg\" style=\"width:100%;\"\/><\/figure><h2> <span>2 \u3064\u306e\u5e73\u9762\u306e\u76f8\u5bfe\u4f4d\u7f6e<\/span><\/h2><p>3 \u6b21\u5143\u7a7a\u9593\u3067\u306f\u30012 \u3064\u306e\u5e73\u9762\u306e\u76f8\u5bfe\u4f4d\u7f6e\u306f 2 \u3064\u3060\u3051\u3067\u3059\u3002<\/p><ul><li>\u5e73\u884c: \u53b3\u5bc6\u306b (\u7a7a\u306e\u4ea4\u5dee\u70b9) \u307e\u305f\u306f\u6df7\u4e71\u3057\u3066\u3044\u307e\u3059\u3002<\/li><li>\u30bb\u30ab\u30f3\u30c8: \u305d\u308c\u3089\u306e\u4ea4\u70b9\u306f\u76f4\u7dda\u306b\u306a\u308a\u307e\u3059\u3002\u3053\u308c\u3089\u306f\u76f4\u4ea4\u3059\u308b\u3053\u3068\u3082\u3067\u304d\u307e\u3059 (\u4e00\u65b9\u306e\u7dda\u304c\u3001\u4ed6\u65b9\u306e 2 \u3064\u306e\u4ea4\u5dee\u3059\u308b\u7dda\u306b\u76f4\u4ea4\u3057\u307e\u3059)\u3002<\/li><\/ul><h2><span>\u5e73\u9762\u3068\u76f4\u7dda\u306e\u76f8\u5bfe\u4f4d\u7f6e<\/span><\/h2><p>3 \u6b21\u5143\u7a7a\u9593\u3067\u306f\u3001\u5e73\u9762\u3068\u76f4\u7dda\u306e\u76f8\u5bfe\u4f4d\u7f6e\u306f 2 \u3064\u3060\u3051\u3067\u3059\u3002<\/p><ul><li>\u5e73\u884c: \u305d\u308c\u3089\u306e\u4ea4\u70b9\u306f<span><a href=\"https:\/\/science-hub.click\/?p=93191\">\u7a7a<\/a><\/span>\u3001\u307e\u305f\u306f\u7dda<span><a href=\"https:\/\/science-hub.click\/?p=95765\">\u5168\u4f53<\/a><\/span>(\u5e73\u9762\u306b\u542b\u307e\u308c\u308b\u7dda) \u306e\u3044\u305a\u308c\u304b\u3067\u3059\u3002<\/li><li>\u30bb\u30ab\u30f3\u30c8: \u305d\u308c\u3089\u306e\u4ea4\u70b9\u306f\u70b9\u3067\u3059\u3002<\/li><\/ul><h2> <span>3\u6b21\u5143\u7a7a\u9593\u306e\u65b9\u7a0b\u5f0f<\/span><\/h2><h3><span>2 \u3064\u306e\u30d9\u30af\u30c8\u30eb\u3068 1 \u3064\u306e\u70b9\u306b\u3088\u308b\u5b9a\u7fa9<\/span><\/h3><p>\u305d\u308c\u3068\u3082\u30dd\u30a4\u30f3\u30c8\u304b<div class=\"math-formual notranslate\">$$ {A(a_1;a_2;a_3)\\,} $$<\/div>\u8a08\u753b\u304c\u901a\u904e\u3057\u3001 <div class=\"math-formual notranslate\">$$ {\\vec u = \\begin{bmatrix}u_1\\\\ u_2\\\\ u_3\\end{bmatrix}} $$<\/div>\u305d\u3057\u3066<div class=\"math-formual notranslate\">$$ {\\vec v = \\begin{bmatrix}v_1\\\\ v_2\\\\ v_3\\end{bmatrix}} $$<\/div>\u305d\u306e\u5411\u304d\u3092\u5b9a\u7fa9\u3059\u308b\u975e\u540c\u4e00\u7dda\u4e0a\u306e\u65b9\u5411\u30d9\u30af\u30c8\u30eb\u3002<\/p><figure class=\"wp-block-image size-large is-style-default\">\n<img decoding=\"async\" alt=\"\u8a08\u753b (\u6570\u5b66) - \u5b9a\u7fa9\" class=\"aligncenter\" onerror=\"this.style.display=none;\" src=\"https:\/\/img.youtube.com\/vi\/SQxsGzbVFYI\/0.jpg\" style=\"width:100%;\"\/><\/figure><h4><span><span><a href=\"https:\/\/science-hub.click\/?p=104419\">\u7dda\u5f62\u7d50\u5408<\/a><\/span><\/span><\/h4><p>\u65b9\u5411\u30d9\u30af\u30c8\u30eb\u306e<span><i>A<\/i><\/span>\u3092\u901a\u904e\u3059\u308b\u5e73\u9762<div class=\"math-formual notranslate\">$$ {\\vec u} $$<\/div>\u305d\u3057\u3066<div class=\"math-formual notranslate\">$$ {\\vec v} $$<\/div> \u3001\u30bb\u30c3\u30c8\u3067\u3059<div class=\"math-formual notranslate\">$$ {\\Pi\\,} $$<\/div>\u30dd\u30a4\u30f3\u30c8<div class=\"math-formual notranslate\">$$ {M(x;y;z)\\,} $$<\/div> 2 \u3064\u306e\u30b9\u30ab\u30e9\u30fc\u304c\u5b58\u5728\u3059\u308b<div class=\"math-formual notranslate\">$$ {\\lambda\\,} $$<\/div>\u305d\u3057\u3066<div class=\"math-formual notranslate\">$$ {\\mu\\,} $$<\/div>\u306e\u3088\u3046\u306a \uff1a <\/p><dl><dd><div class=\"math-formual notranslate\">$$ {\\Pi\u00a0: \\vec{OM} = \\vec{OA} + \\lambda\\vec u + \\mu\\vec v} $$<\/div> (<strong>\u30d9\u30af\u30c8\u30eb<span><a href=\"https:\/\/science-hub.click\/?p=66517\">\u65b9\u7a0b\u5f0f<\/a><\/span><\/strong>)<\/dd><\/dl><p><i>\u307e\u305f\u306f<\/i><\/p><dl><dd><div class=\"math-formual notranslate\">$$ {\\Pi\u00a0: \\begin{cases} x = a_1 + \\lambda v_1 + \\mu u_1 \\\\  y = a_2 + \\lambda v_2 + \\mu u_2 \\\\  z = a_3 + \\lambda v_3 + \\mu u_3 \\end{cases}\\quad \\mbox{avec } (\\lambda,\\mu)\\in\\R^2} $$<\/div> (<strong>\u30d1\u30e9\u30e1\u30c8\u30ea\u30c3\u30af\u65b9\u7a0b\u5f0f<\/strong>)<\/dd><\/dl><h4><span>\u5171\u5e73\u9762\u6027<\/span><\/h4><p>\u3069\u3061\u3089\u304b<div class=\"math-formual notranslate\">$$ {M(x;y;z)\\,} $$<\/div>\u5e73\u9762\u4e0a\u306e\u4efb\u610f\u306e\u70b9\u3068<div class=\"math-formual notranslate\">$$ {\\vec{AM} = \\begin{bmatrix}x &#8211; a_1\\\\ y &#8211; a_2\\\\ z &#8211; a_3\\end{bmatrix}} $$<\/div>\u4e8c\u70b9\u306b\u3088\u3063\u3066\u5b9a\u7fa9\u3055\u308c\u305f\u30d9\u30af\u30c8\u30eb<div class=\"math-formual notranslate\">$$ {(A;M)\\,} $$<\/div> \u3002<\/p><p>\u3053\u308c\u3089 3 \u3064\u306e\u30d9\u30af\u30c8\u30eb\u304c\u540c\u4e00\u5e73\u9762\u4e0a\u306b\u3042\u308b\u305f\u3081\u306b\u306f\u3001\u305d\u308c\u3089\u306e\u6df7\u5408\u7a4d\u304c\u30bc\u30ed\u3067\u306a\u3051\u308c\u3070\u306a\u308a\u307e\u305b\u3093\u3002 <\/p><dl><dd><div class=\"math-formual notranslate\">$$ {(\\vec{AM} \\times \\vec u) \\cdot \\vec v = [\\vec{AM},\\vec u,\\vec v] = 0} $$<\/div><\/dd><dd><div class=\"math-formual notranslate\">$$ {= \\begin{vmatrix} x-a_1 &amp;&amp; u_1 &amp;&amp; v_1 \\\\ y-a_2 &amp;&amp; u_2 &amp;&amp; v_2 \\\\ z-a_3 &amp;&amp; u_3 &amp;&amp; v_3 \\end{vmatrix} = u_2v_3(x-a_1) + u_3v_1(y-a_2) + u_1v_2(z-a_3) &#8211; u_2v_1(z-a_3) &#8211; u_3v_2(x-a_1) &#8211; u_1v_3(y-a_2)} $$<\/div><\/dd><\/dl><p>\u7528\u8a9e\u3092\u5f37\u8abf\u8868\u793a\u3059\u308b\u3068\u3001\u6b21\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002 <\/p><dl><dd><div class=\"math-formual notranslate\">$$ {[\\vec{AM},\\vec u,\\vec v] = (u_2v_3 &#8211; u_3v_2)x\\quad +\\quad (u_3v_1 &#8211; u_1v_3)y\\quad +\\quad (u_1v_2 &#8211; u_2v_1)z\\quad -\\ u_2v_3a_1 &#8211; u_3v_1a_2 &#8211; u_1v_2a_3 + u_2v_1a_3 + u_3v_2a_1 + u_1v_3a_2\\,} $$<\/div><\/dd><\/dl><p> 4 \u3064\u306e\u90e8\u5206\u30014 \u3064\u306e\u6570\u5b57\u3092\u533a\u5225\u3057\u3001\u305d\u308c\u3089\u3092<span><i>A<\/i> \u3001 <i>B<\/i> \u3001 <i>C<\/i> \u3001 <i>D<\/i><\/span>\u3068\u547c\u3073\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001<strong>\u5e73\u9762\u306e\u30c7\u30ab\u30eb\u30c8\u65b9\u7a0b\u5f0f<\/strong>\u3092\u66f8\u304f\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002 <\/p><dl><dd><div class=\"math-formual notranslate\">$$ {\\Pi\u00a0: Ax + By + Cz + D = 0\\,} $$<\/div><\/dd><\/dl><p>\u3055\u3089\u306b\u3001\u6570\u5024<i>A<\/i> \u3001 <i>B<\/i> \u3001 <i>C<\/i>\u304c\u30d9\u30af\u30c8\u30eb\u306e\u6210\u5206\u3067\u3042\u308b\u3053\u3068\u306b\u6c17\u4ed8\u304d\u307e\u3059\u3002 <div class=\"math-formual notranslate\">$$ {\\vec u \\wedge \\vec v} $$<\/div> \u30012 \u3064\u306e\u65b9\u5411\u30d9\u30af\u30c8\u30eb\u306e\u30d9\u30af\u30c8\u30eb\u7a4d\u306e\u7d50\u679c\u3002\u3053\u308c\u306f\u5e73\u9762\u306b\u76f4\u4ea4\u3057\u3066\u3044\u308b\u305f\u3081\u3001\u5e73\u9762\u306b\u5782\u76f4\u306a\u30d9\u30af\u30c8\u30eb\u3092\u5b9a\u7fa9\u3057\u307e\u3059\u3002 <\/p><dl><dd><div class=\"math-formual notranslate\">$$ {\\vec n = \\frac{1}{\\sqrt{A^2+B^2+C^2}} \\cdot \\begin{bmatrix}A\\\\B\\\\C\\end{bmatrix}} $$<\/div><\/dd><\/dl><h3><span>\u6cd5\u7dda\u30d9\u30af\u30c8\u30eb\u3068\u70b9\u306b\u3088\u308b\u5b9a\u7fa9<\/span><\/h3><h4><span><span><a href=\"https:\/\/science-hub.click\/?p=99115\">\u76f4\u4ea4\u6027<\/a><\/span><\/span><\/h4><p>\u901a\u904e\u3059\u308b\u8a08\u753b<div class=\"math-formual notranslate\">$$ {A(a_1;a_2;a_3)\\,} $$<\/div> \u3001\u6cd5\u7dda\u30d9\u30af\u30c8\u30eb<div class=\"math-formual notranslate\">$$ {\\vec n} $$<\/div> \u3001\u30bb\u30c3\u30c8\u3067\u3059<div class=\"math-formual notranslate\">$$ {\\Pi\\,} $$<\/div>\u30dd\u30a4\u30f3\u30c8<div class=\"math-formual notranslate\">$$ {M(x;y;z)\\,} $$<\/div>\u305d\u308c\u3089\u3092\u70b9<i>A<\/i>\u306b\u63a5\u7d9a\u3059\u308b\u30d9\u30af\u30c8\u30eb\u306f\u6cd5\u7dda\u30d9\u30af\u30c8\u30eb\u306b\u76f4\u4ea4\u3057\u307e\u3059\u3002\u8a00\u3044\u63db\u3048\u308b\u3068\u3001\u3053\u308c\u3089\u306e\u30d9\u30af\u30c8\u30eb\u9593\u306e<span><a href=\"https:\/\/science-hub.click\/?p=69519\">\u30b9\u30ab\u30e9\u30fc\u7a4d\u306f<\/a><\/span>\u30bc\u30ed\u306b\u306a\u308a\u307e\u3059\u3002 <\/p><dl><dd><div class=\"math-formual notranslate\">$$ {\\Pi\u00a0: \\vec n\\cdot\\vec{AM} = 0} $$<\/div><\/dd><\/dl><p>\u3068<\/p><dl><dd><div class=\"math-formual notranslate\">$$ {\\vec{AM} = \\vec{OM}-\\vec{OA} = \\begin{bmatrix}x\\\\y\\\\z\\end{bmatrix} &#8211; \\begin{bmatrix}a_1\\\\a_2\\\\a_3\\end{bmatrix} = \\begin{bmatrix}x &#8211; a_1\\\\ y &#8211; a_2\\\\ z &#8211; a_3\\end{bmatrix}} $$<\/div><\/dd><\/dl><p>\u3057\u305f\u304c\u3063\u3066\u3001\u3053\u306e\u5b9a\u7fa9\u306f\u6b21\u306e\u30c7\u30ab\u30eb\u30c8\u65b9\u7a0b\u5f0f\u306b\u3064\u306a\u304c\u308a\u307e\u3059\u3002 <\/p><dl><dd><div class=\"math-formual notranslate\">$$ {\\vec n\\cdot\\vec{AM} = \\vec n\\cdot(\\vec{OM}-\\vec{OA})= \\vec n\\cdot\\vec{OM}-\\vec n\\cdot\\vec{OA} = 0} $$<\/div><\/dd><dd><div class=\"math-formual notranslate\">$$ {\\Rightarrow n_1x+n_2y+n_3z-(n_1a_1+n_2a_2+n_3a_3) = 0\\,} $$<\/div><\/dd><\/dl><p>\u79c1\u305f\u3061\u306f\u901a\u5e38\u3001\u56db\u3064\u5b50\u3092\u8b58\u5225\u3057\u307e\u3059<div class=\"math-formual notranslate\">$$ {(n_1;n_2;n_3;-\\vec n\\cdot\\vec{OA})} $$<\/div>\u624b\u7d19\u306b<div class=\"math-formual notranslate\">$$ {(A,B,C,D)\\,} $$<\/div>\u305d\u3057\u3066\u3001<strong>\u5e73\u9762\u306e\u30c7\u30ab\u30eb\u30c8\u65b9\u7a0b\u5f0f\u3092<\/strong>\u65b9\u7a0b\u5f0f\u3068\u547c\u3073\u307e\u3059\u3002 <\/p><dl><dd><div class=\"math-formual notranslate\">$$ {\\Pi\u00a0: Ax+By+Cz+D=0\\,} $$<\/div><\/dd><\/dl><\/div><figure class=\"wp-block-image size-large is-style-default\">\n<img decoding=\"async\" alt=\"\u8a08\u753b (\u6570\u5b66) - \u5b9a\u7fa9\" class=\"aligncenter\" onerror=\"this.style.display=none;\" src=\"https:\/\/img.youtube.com\/vi\/KDFAsDaGoLs\/0.jpg\" style=\"width:100%;\"\/><\/figure><h2 class=\"ref_link\">\u53c2\u8003\u8cc7\u6599<\/h2><ol><li><a class=\"notranslate\" href=\"https:\/\/af.wikipedia.org\/wiki\/Vlak\">Vlak \u2013 afrikaans<\/a><\/li><li> <a class=\"notranslate\" href=\"https:\/\/als.wikipedia.org\/wiki\/Ebene_(Mathematik)\">Ebene (Mathematik) \u2013 al\u00e9manique<\/a><\/li><li> <a class=\"notranslate\" href=\"https:\/\/ar.wikipedia.org\/wiki\/%D9%85%D8%B3%D8%AA%D9%88_(%D8%B1%D9%8A%D8%A7%D8%B6%D9%8A%D8%A7%D8%AA)\">\u0645\u0633\u062a\u0648 (\u0631\u064a\u0627\u0636\u064a\u0627\u062a) \u2013 arabe<\/a><\/li><li> <a class=\"notranslate\" href=\"https:\/\/ast.wikipedia.org\/wiki\/Planu_(xeometr%C3%ADa)\">Planu (xeometr\u00eda) \u2013 asturien<\/a><\/li><li> <a class=\"notranslate\" href=\"https:\/\/az.wikipedia.org\/wiki\/M%C3%BCst%C9%99vi\">M\u00fcst\u0259vi \u2013 azerba\u00efdjanais<\/a><\/li><li> <a class=\"notranslate\" href=\"https:\/\/ba.wikipedia.org\/wiki\/%D0%AF%D2%AB%D1%8B%D0%BB%D1%8B%D2%A1\">\u042f\u04ab\u044b\u043b\u044b\u04a1 \u2013 bachkir<\/a><\/li><\/ol><\/div>\n<div class=\"feature-video\">\n <h2>\n  \u8a08\u753b (\u6570\u5b66) &#8211; \u5b9a\u7fa9\u30fb\u95a2\u9023\u52d5\u753b\n <\/h2>\n <div class=\"video-item\">\n  \n  <figure class=\"wp-block-embed is-type-video is-provider-youtube wp-block-embed-youtube wp-embed-aspect-16-9 wp-has-aspect-ratio\">\n   <div class=\"wp-block-embed__wrapper\">\n    <iframe loading=\"lazy\" title=\"p\u9032\u6570\u3068\u306fTaylor\u5c55\u958b(Laurent\u5c55\u958b)\u3067\u3042\u308b\u3010\u95a2\u6570\u8ad6\u3068\u6574\u6570\u8ad63\u3011\" width=\"500\" height=\"281\" src=\"https:\/\/www.youtube.com\/embed\/ZfzZRZbNtV0?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" referrerpolicy=\"strict-origin-when-cross-origin\" allowfullscreen><\/iframe>\n   <\/div>\n  <\/figure>\n  \n <\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>\u6570\u5b66\u3067\u306f\u3001\u5e73\u9762\u306f\u57fa\u672c\u7684\u306a 2 \u6b21\u5143\u30aa\u30d6\u30b8\u30a7\u30af\u30c8\u3067\u3059\u3002\u76f4\u611f\u7684\u306b\u306f\u3001\u7121\u9650\u306b\u5e83\u304c\u308b\u539a\u3055\u30bc\u30ed\u306e\u30b7\u30fc\u30c8\u3068\u3057\u3066\u8996\u899a\u5316\u3067\u304d\u307e\u3059\u3002\u5e7e\u4f55\u5b66\u3068\u4e09\u89d2\u6cd5\u306e\u57fa\u672c\u7684\u306a\u4f5c\u696d\u306e\u307b\u3068\u3093\u3069\u306f 2 \u6b21\u5143\u3001\u3064\u307e\u308a\u5e73\u9762\u3067\u5b9f\u884c\u3055\u308c\u307e\u3059\u3002 \u5b9a\u7fa9 Euclid\u306e\u8981\u7d20\u3067 [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":58330,"comment_status":"","ping_status":"","sticky":false,"template":"","format":"standard","meta":{"fifu_image_url":"https:\/\/img.youtube.com\/vi\/gvbALJKRnWQ\/0.jpg","fifu_image_alt":"\u8a08\u753b (\u6570\u5b66) - \u5b9a\u7fa9","footnotes":""},"categories":[5],"tags":[11,13,55497,14,10,2047,12,1013,16,15],"class_list":["post-58329","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-dictionary","tag-techniques","tag-technologie","tag-tennant","tag-news","tag-actualite","tag-plan","tag-dossier","tag-mathematiques","tag-sciences","tag-article"],"_links":{"self":[{"href":"https:\/\/science-hub.click\/index.php?rest_route=\/wp\/v2\/posts\/58329"}],"collection":[{"href":"https:\/\/science-hub.click\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/science-hub.click\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/science-hub.click\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/science-hub.click\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=58329"}],"version-history":[{"count":0,"href":"https:\/\/science-hub.click\/index.php?rest_route=\/wp\/v2\/posts\/58329\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/science-hub.click\/index.php?rest_route=\/wp\/v2\/media\/58330"}],"wp:attachment":[{"href":"https:\/\/science-hub.click\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=58329"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/science-hub.click\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=58329"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/science-hub.click\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=58329"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}