{"id":33754,"date":"2021-05-05T13:00:19","date_gmt":"2021-05-05T13:00:19","guid":{"rendered":"https:\/\/toposuranos.com\/material\/?p=33754"},"modified":"2025-07-30T22:48:50","modified_gmt":"2025-07-30T22:48:50","slug":"%e6%94%be%e7%89%a9%e7%b7%9a%e3%83%bb%e6%a5%95%e5%86%86%e3%83%bb%e5%8f%8c%e6%9b%b2%e7%b7%9a%e3%81%ae%e7%89%b9%e5%be%b4%e3%81%a5%e3%81%91%e3%81%a8%e3%82%b0%e3%83%a9%e3%83%95%ef%bc%9a%e5%86%86%e9%8c%90","status":"publish","type":"post","link":"https:\/\/toposuranos.com\/material\/ja\/%e6%94%be%e7%89%a9%e7%b7%9a%e3%83%bb%e6%a5%95%e5%86%86%e3%83%bb%e5%8f%8c%e6%9b%b2%e7%b7%9a%e3%81%ae%e7%89%b9%e5%be%b4%e3%81%a5%e3%81%91%e3%81%a8%e3%82%b0%e3%83%a9%e3%83%95%ef%bc%9a%e5%86%86%e9%8c%90\/","title":{"rendered":"\u653e\u7269\u7dda\u30fb\u6955\u5186\u30fb\u53cc\u66f2\u7dda\u306e\u7279\u5fb4\u3065\u3051\u3068\u30b0\u30e9\u30d5\uff1a\u5186\u9310\u66f2\u7dda\u306e\u7814\u7a76"},"content":{"rendered":"<p><center><\/p>\n<h1>\u5186\u9310\u66f2\u7dda\uff1a\u653e\u7269\u7dda\u3001\u6955\u5186\u304a\u3088\u3073\u53cc\u66f2\u7dda\u306e\u7279\u5fb4\u3065\u3051\u3068\u30b0\u30e9\u30d5<\/h1>\n<p><em><strong>\u8981\u7d04\uff1a<\/strong><br \/>\n\u672c\u8b1b\u7fa9\u3067\u306f\u3001\u5186\u9310\u66f2\u7dda\uff08\u653e\u7269\u7dda\u3001\u6955\u5186\u3001\u53cc\u66f2\u7dda\uff09\u3092\u6271\u3044\u3001\u305d\u306e\u6a19\u6e96\u5f62\u304a\u3088\u3073\u4e00\u822c\u5f62\u306e\u65b9\u7a0b\u5f0f\u304b\u3089\u59cb\u3081\u307e\u3059\u3002\u5404\u66f2\u7dda\u3092\u8b58\u5225\u3057\u7279\u5fb4\u3065\u3051\u308b\u65b9\u6cd5\u3092\u8aac\u660e\u3057\u3001\u653e\u7269\u7dda\u306b\u304a\u3044\u3066\u306f\u9802\u70b9\u3001\u7126\u70b9\u3001\u5bfe\u79f0\u8ef8\u3068\u3044\u3063\u305f\u91cd\u8981\u306a\u8981\u7d20\u306b\u7126\u70b9\u3092\u5f53\u3066\u307e\u3059\u3002\u307e\u305f\u3001\u4fc2\u6570\u306e\u7b26\u53f7\u306b\u57fa\u3065\u304f\u6955\u5186\u3068\u53cc\u66f2\u7dda\u306e\u533a\u5225\u306b\u3064\u3044\u3066\u3082\u89e3\u8aac\u3057\u307e\u3059\u3002<br \/>\n<\/em><br \/>\n<strong>\u5b66\u7fd2\u76ee\u6a19\uff1a<\/strong><br \/>\n\u672c\u8b1b\u7fa9\u306e\u7d42\u4e86\u6642\u306b\u306f\u3001\u5b66\u751f\u306f\u4ee5\u4e0b\u304c\u3067\u304d\u308b\u3088\u3046\u306b\u306a\u308a\u307e\u3059\uff1a<\/p>\n<ol style=\"text-align:left;\">\n<li>\u5186\u9310\u66f2\u7dda\uff08\u653e\u7269\u7dda\u3001\u6955\u5186\u3001\u53cc\u66f2\u7dda\uff09\u306e<strong>\u6a19\u6e96\u5f62\u65b9\u7a0b\u5f0f\u3092\u8a8d\u8b58\u3059\u308b<\/strong><\/li>\n<li>\u534a\u8ef8\u306e\u9577\u3055\u3001\u7126\u70b9\u8ddd\u96e2\u3001\u6e96\u7dda\u306a\u3069\u3001\u5186\u9310\u66f2\u7dda\u306e\u5404\u7a2e\u7279\u5fb4\u3092<strong>\u8a08\u7b97\u3059\u308b<\/strong><\/li>\n<\/ol>\n<p><strong>\u76ee\u6b21<\/strong><br \/>\n<a href=\"#1\">\u5186\u9310\u66f2\u7dda<\/a><br \/>\n<a href=\"#2\">\u653e\u7269\u7dda\u306e\u5fa9\u7fd2<\/a><br \/>\n<a href=\"#3\">\u6955\u5186\u3068\u53cc\u66f2\u7dda\u306e\u5fa9\u7fd2<\/a><br \/>\n<a href=\"#4\">\u6955\u5186\u306e\u7279\u5fb4\u3065\u3051<\/a><br \/>\n<a href=\"#5\">\u53cc\u66f2\u7dda\u306e\u7279\u5fb4\u3065\u3051<\/a><br \/>\n<a href=\"#6\">\u7df4\u7fd2\u554f\u984c\uff08\u89e3\u7b54\u4ed8\u304d\uff09<\/a>\n<\/p>\n<p><\/center><\/p>\n<p><center><iframe class=\"lazyload\" width=\"560\" height=\"315\" data-src=\"https:\/\/www.youtube.com\/embed\/d21_9EHUv_M\" title=\"YouTube video player\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture\" allowfullscreen=\"allowfullscreen\"><\/iframe><\/center><br \/>\n<a name=\"1\"><\/a><\/p>\n<h2>\u5186\u9310\u66f2\u7dda<\/h2>\n<p style=\"text-align: justify;\"><a href=\"https:\/\/www.youtube.com\/watch?v=d21_9EHUv_M&amp;t=126s\" target=\"_blank\" rel=\"noopener\"><strong>\u5186\u9310\u66f2\u7dda\u3068\u306f<\/strong><\/a>\u3001\u5186\u9310\u306e\u8868\u9762\u3068\u5e73\u9762\u304c\u4ea4\u5dee\u3057\u3066\u751f\u3058\u308b\u3059\u3079\u3066\u306e\u66f2\u7dda\u3092\u6307\u3057\u307e\u3059\u3002\u5186\u9310\u66f2\u7dda\u306e\u5206\u985e\u306b\u306f\u3001\u5186\u3084\u6955\u5186\u3001\u53cc\u66f2\u7dda\u304c\u542b\u307e\u308c\u3001\u3053\u308c\u3089\u306f\u3044\u305a\u308c\u3082\u65e2\u306b\u5b66\u7fd2\u3057\u305f\u66f2\u7dda\u3067\u3059\u3002<\/p>\n<p><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/1.bp.blogspot.com\/-5eckvpNxzlg\/YJJimcxkMYI\/AAAAAAAAFEA\/dfGTvXblcD4dZXSjpWvonYFN8O0EMNqtwCLcBGAsYHQ\/s0\/curvas-conicas-secciones-cono.png\" alt=\"\u5186\u9310\u66f2\u7dda\" class=\" aligncenter lazyload\" width=\"531\" height=\"272\" \/><noscript><img decoding=\"async\" src=\"https:\/\/1.bp.blogspot.com\/-5eckvpNxzlg\/YJJimcxkMYI\/AAAAAAAAFEA\/dfGTvXblcD4dZXSjpWvonYFN8O0EMNqtwCLcBGAsYHQ\/s0\/curvas-conicas-secciones-cono.png\" alt=\"\u5186\u9310\u66f2\u7dda\" class=\" aligncenter lazyload\" width=\"531\" height=\"272\" \/><\/noscript><\/p>\n<p style=\"text-align: justify;\">\u3053\u3053\u3067\u306f\u3001\u3053\u308c\u3089\u306e\u5404\u66f2\u7dda\u3092\u8a8d\u8b58\u3057\u7279\u5fb4\u3065\u3051\u308b\u305f\u3081\u306e\u6280\u6cd5\u3092\u6539\u3081\u3066\u898b\u3066\u3044\u304d\u307e\u3059\u3002\u7279\u306b\u6a19\u6e96\u5f62\u306b\u6ce8\u76ee\u3057\u307e\u3059\u3002\u3068\u3044\u3046\u306e\u3082\u3001\u6a19\u6e96\u5f62\u306f\u6700\u3082\u3088\u304f\u73fe\u308c\u308b\u5f62\u5f0f\u3067\u3042\u308b\u4e00\u65b9\u3067\u3001\u660e\u793a\u7684\u306a\u60c5\u5831\u304c\u5c11\u306a\u3044\u304b\u3089\u3067\u3059\u3002\u305d\u308c\u306b\u5bfe\u3057\u3001\u4e00\u822c\u5f62\u306e\u65b9\u7a0b\u5f0f\u306f\u3001\u307b\u3068\u3093\u3069\u306e\u5e7e\u4f55\u5b66\u7684\u7279\u5fb4\u3092\u81ea\u305a\u3068\u793a\u3057\u3066\u3044\u307e\u3059\u3002<\/p>\n<p><a name=\"2\"><\/a><\/p>\n<h2>\u653e\u7269\u7dda\u306e\u5fa9\u7fd2<\/h2>\n<p style=\"text-align: justify;\"><a href=\"https:\/\/www.youtube.com\/watch?v=d21_9EHUv_M&amp;t=160s\" target=\"_blank\" rel=\"noopener\"><strong>\u3059\u3079\u3066\u306e\u653e\u7269\u7dda\u306f<\/strong><\/a>\u6b21\u306e\u5f62\u5f0f\u306e\u65b9\u7a0b\u5f0f\u3067\u8868\u3055\u308c\u307e\u3059\uff1a<\/p>\n<p style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">y=ax^2 + bx + c,<\/span> \u305f\u3060\u3057 <span class=\"katex-eq\" data-katex-display=\"false\">a\\neq 0<\/span>\n<p style=\"text-align: justify;\">\u3053\u308c\u306b\u57fa\u3065\u3044\u3066\u3001\u6b21\u306e\u3053\u3068\u304c\u5f97\u3089\u308c\u307e\u3059\uff1a<\/p>\n<ul style=\"text-align: justify;\">\n<li>\u9802\u70b9\u306e\u5ea7\u6a19\uff1a <span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle (x_0, y_0)=\\left( -\\dfrac{b}{2a}, c - \\dfrac{b^2}{4a} \\right)<\/span><\/li>\n<li>\u7126\u70b9\u306e\u4f4d\u7f6e\uff1a <span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle f=\\dfrac{1}{4a}<\/span><\/li>\n<li>\u7126\u70b9\u306e\u5ea7\u6a19\uff1a <span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle foco=\\left( -\\dfrac{b}{2a}, c - \\dfrac{b^2}{4a} + f \\right) =\\left( -\\dfrac{b}{2a}, c + \\dfrac{1- b^2}{4a} \\right)<\/span><\/li>\n<li>\u6e96\u7dda\u306e\u65b9\u7a0b\u5f0f\uff1a <span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle y= c - \\dfrac{b^2}{4a} - f = c - \\dfrac{1+b^2}{4a}<\/span><\/li>\n<li>\u5bfe\u79f0\u8ef8\u306e\u65b9\u7a0b\u5f0f\uff1a <span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle x= -\\dfrac{b}{2a} <\/span><\/li>\n<li>x\u8ef8\u3068\u306e\u4ea4\u70b9\uff08\u5b58\u5728\u3059\u308b\u5834\u5408\uff09\uff1a <span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle x_{1,2}= \\dfrac{-b \\pm \\sqrt{b^2-4ac}}{2a} <\/span><\/li>\n<\/ul>\n<p style=\"text-align: justify;\">\u4ee5\u4e0a\u3067\u3001\u4efb\u610f\u306e\u653e\u7269\u7dda\u3092\u63cf\u753b\u3059\u308b\u305f\u3081\u306b\u5fc5\u8981\u306a\u3059\u3079\u3066\u306e\u60c5\u5831\u304c\u305d\u308d\u3044\u307e\u3057\u305f\u3002<\/p>\n<p><a name=\"3\"><\/a><\/p>\n<h2>\u6955\u5186\u3068\u53cc\u66f2\u7dda\u306e\u5fa9\u7fd2<\/h2>\n<p style=\"text-align: justify;\"><a href=\"https:\/\/www.youtube.com\/watch?v=d21_9EHUv_M&amp;t=449s\" target=\"_blank\" rel=\"noopener\"><strong>\u6955\u5186\u3068\u53cc\u66f2\u7dda\u306f<\/strong><\/a>\u3001\u6b21\u306e\u5f62\u5f0f\u306e\u6a19\u6e96\u65b9\u7a0b\u5f0f\u3092\u6301\u3061\u307e\u3059\uff1a<\/p>\n<p style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">Ax^2 + Bx + Cy^2 + Dy + E = 0<\/span>\n<p style=\"text-align: justify;\">\u3053\u3053\u3067\u3001<span class=\"katex-eq\" data-katex-display=\"false\">A<\/span> \u304a\u3088\u3073 <span class=\"katex-eq\" data-katex-display=\"false\">C<\/span> \u306f\u30bc\u30ed\u3067\u306a\u3044\u5b9a\u6570\u3067\u3059\u3002\u305d\u3057\u3066\u3001\u3053\u308c\u307e\u3067\u306e\u5b66\u7fd2\u304b\u3089\u6b21\u306e\u3088\u3046\u306b\u5206\u985e\u3067\u304d\u307e\u3059\uff1a<\/p>\n<ul style=\"text-align: justify;\">\n<li><span class=\"katex-eq\" data-katex-display=\"false\">A<\/span> \u3068 <span class=\"katex-eq\" data-katex-display=\"false\">C<\/span> \u306e\u7b26\u53f7\u304c\u540c\u3058\u5834\u5408\u3001\u305d\u308c\u306f\u6955\u5186\u3067\u3059\u3002<\/li>\n<li><span class=\"katex-eq\" data-katex-display=\"false\">A<\/span> \u3068 <span class=\"katex-eq\" data-katex-display=\"false\">C<\/span> \u306e\u7b26\u53f7\u304c\u7570\u306a\u308b\u5834\u5408\u3001\u305d\u308c\u306f\u53cc\u66f2\u7dda\u3067\u3059\u3002<\/li>\n<\/ul>\n<p style=\"text-align: justify;\">\u4e21\u8005\u3092\u660e\u78ba\u306b\u533a\u5225\u3059\u308b\u305f\u3081\u3001\u6b21\u306e\u3088\u3046\u306b\u8868\u8a18\u3057\u307e\u3059\uff1a<\/p>\n<ul style=\"text-align: justify;\">\n<li><span class=\"katex-eq\" data-katex-display=\"false\">\\alpha x^2+ \\beta x + \\gamma y^2 + \\delta y + \\epsilon = 0<\/span> \u306f\u6955\u5186\u3067\u3059\u3002<\/li>\n<li><span class=\"katex-eq\" data-katex-display=\"false\">\\alpha x^2+ \\beta x - \\gamma y^2 + \\delta y + \\epsilon = 0<\/span> \u306f\u53cc\u66f2\u7dda\u3067\u3059\u3002<\/li>\n<\/ul>\n<p style=\"text-align: justify;\">\u3053\u3053\u3067 <span class=\"katex-eq\" data-katex-display=\"false\">\\alpha, \\beta, \\gamma, \\delta<\/span>, <span class=\"katex-eq\" data-katex-display=\"false\">\\epsilon<\/span> \u306f\u4efb\u610f\u306e\u5b9f\u6570\u3067\u3042\u308a\u3001<span class=\"katex-eq\" data-katex-display=\"false\">\\alpha<\/span> \u304a\u3088\u3073 <span class=\"katex-eq\" data-katex-display=\"false\">\\gamma<\/span> \u306f\u5e38\u306b\u6b63\u3067\u3059\u3002\u3053\u306e\u3088\u3046\u306b\u8a18\u8ff0\u3059\u308b\u3053\u3068\u3067\u3001\u4e21\u8005\u3092\u660e\u78ba\u306b\u533a\u5225\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u3053\u308c\u3092\u57fa\u306b\u3001\u4ee5\u4e0b\u306e\u63a8\u8ad6\u3092\u884c\u3046\u3053\u3068\u304c\u3067\u304d\u307e\u3059\uff1a<\/p>\n<p><a name=\"4\"><\/a><\/p>\n<h2>\u6955\u5186\u306e\u7279\u5fb4\u3065\u3051<\/h2>\n<p style=\"text-align: justify;\"><a href=\"https:\/\/www.youtube.com\/watch?v=d21_9EHUv_M&amp;t=552s\" target=\"_blank\" rel=\"noopener\"><strong>\u6a19\u6e96\u65b9\u7a0b\u5f0f\u304b\u3089\u51fa\u767a\u3057\u3066<\/strong><\/a>\u6b21\u306e\u3088\u3046\u306a\u5c0e\u51fa\u304c\u5f97\u3089\u308c\u307e\u3059\uff1a<\/p>\n<table style=\"text-align: justify;\">\n<tbody>\n<tr>\n<td width=\"50\">(1)<\/td>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">\\alpha x^2+ \\beta x + \\gamma y^2 + \\delta y + \\epsilon = 0<\/span><\/td>\n<td>; \u6955\u5186\u306e\u6a19\u6e96\u5f62\u65b9\u7a0b\u5f0f<\/td>\n<\/tr>\n<tr>\n<td>(2)<\/td>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\alpha \\left( x^2+ \\dfrac{\\beta}{\\alpha }x\\right) + \\gamma \\left(y^2 + \\dfrac{\\delta}{\\gamma }y\\right) =- \\epsilon<\/span><\/td>\n<td>; \u56e0\u6570\u5206\u89e3\u304a\u3088\u3073\u9805\u306e\u6574\u7406<\/td>\n<\/tr>\n<tr>\n<td>(3)<\/td>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\alpha \\left( x + \\dfrac{\\beta}{2 \\alpha }\\right)^2 + \\gamma \\left(y + \\dfrac{\\delta}{2 \\gamma } \\right)^2 =\\dfrac{\\beta^2}{4\\alpha } + \\dfrac{\\delta^2}{4\\gamma } - \\epsilon<\/span><\/td>\n<td>; \u5e73\u65b9\u5b8c\u6210\u304a\u3088\u3073\u9805\u306e\u6574\u7406<\/td>\n<\/tr>\n<tr>\n<td>(4)<\/td>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\alpha \\dfrac{\\left( x + \\dfrac{\\beta}{2 \\alpha }\\right)^2}{\\left(\\dfrac{\\beta^2}{4\\alpha } + \\dfrac{\\delta^2}{4\\gamma } - \\epsilon\\right)} + \\gamma \\dfrac{\\left(y + \\dfrac{\\delta}{2 \\gamma } \\right)^2}{\\left(\\dfrac{\\beta^2}{4\\alpha } + \\dfrac{\\delta^2}{4\\gamma } - \\epsilon\\right)} = 1<\/span><\/td>\n<td>; \u5168\u4f53\u3092 <span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\dfrac{\\beta^2}{4\\alpha } + \\dfrac{\\delta^2}{4\\gamma } - \\epsilon<\/span> \u3067\u5272\u308b<\/td>\n<\/tr>\n<tr>\n<td>(5)<\/td>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\dfrac{\\left( x + \\dfrac{\\beta}{2 \\alpha }\\right)^2}{\\dfrac{1}{\\alpha }\\left(\\dfrac{\\beta^2}{4\\alpha } + \\dfrac{\\delta^2}{4\\gamma } - \\epsilon\\right)} + \\dfrac{\\left(y + \\dfrac{\\delta}{2 \\gamma } \\right)^2}{\\dfrac{1}{ \\gamma}\\left(\\dfrac{\\beta^2}{4\\alpha } + \\dfrac{\\delta^2}{4\\gamma } - \\epsilon\\right)} = 1<\/span><\/td>\n<td>; <span class=\"katex-eq\" data-katex-display=\"false\">\\alpha<\/span> \u304a\u3088\u3073 <span class=\"katex-eq\" data-katex-display=\"false\">\\gamma<\/span> \u306e\u518d\u914d\u7f6e<\/td>\n<\/tr>\n<tr>\n<td>(6)<\/td>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\left( \\dfrac{ x - \\left(-\\dfrac{\\beta}{2 \\alpha }\\right)}{\\sqrt{\\dfrac{1}{\\alpha}\\left(\\dfrac{\\beta^2}{4\\alpha } + \\dfrac{\\delta^2}{4\\gamma } - \\epsilon\\right)}}\\right)^2 + \\left( \\dfrac{y - \\left(-\\dfrac{\\delta}{2 \\gamma } \\right)}{\\sqrt{\\dfrac{1}{\\gamma}\\left(\\dfrac{\\beta^2}{4\\alpha } + \\dfrac{\\delta^2}{4\\gamma } - \\epsilon\\right)}}\\right)^2 = 1<\/span><\/td>\n<td>; \u5e73\u65b9\u6839\u306b\u3088\u308b\u518d\u69cb\u6210<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p style=\"text-align: justify;\">\u3053\u306e\u5c0e\u51fa\u904e\u7a0b\u306b\u304a\u3044\u3066\u3001\u7279\u306b\u6ce8\u610f\u3059\u3079\u304d\u306f\u30b9\u30c6\u30c3\u30d7(3)\u3067\u3059\u3002\u3068\u3044\u3046\u306e\u3082\u3001\u4fc2\u6570 <span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\dfrac{\\beta^2}{4\\alpha } + \\dfrac{\\delta^2}{4\\gamma } - \\epsilon<\/span> \u304c\u8ca0\u3067\u3042\u308b\u5834\u5408\u3001\u6955\u5186\u306f\u5b58\u5728\u3057\u3048\u306a\u3044\u304b\u3089\u3067\u3059\u3002<\/p>\n<p style=\"text-align: justify;\">\u6955\u5186\u306e\u4e00\u822c\u5f62\u65b9\u7a0b\u5f0f\u306f\u6b21\u306e\u5f62\u5f0f\u3067\u3042\u308b\u3053\u3068\u3092\u601d\u3044\u51fa\u3057\u307e\u3057\u3087\u3046\uff1a<\/p>\n<p style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\left( \\dfrac{x-h}{a} \\right)^2 + \\left(\\dfrac{y-k}{b} \\right)^2 = 1<\/span>\n<p style=\"text-align: justify;\">\u3053\u306e\u6700\u7d42\u7d50\u679c\u306b\u3088\u308a\u3001\u6a19\u6e96\u5f62\u306b\u542b\u307e\u308c\u308b\u30d1\u30e9\u30e1\u30fc\u30bf\u3068\u4e00\u822c\u5f62\u306b\u304a\u3051\u308b\u5404\u30d1\u30e9\u30e1\u30fc\u30bf\u3068\u306e\u9593\u306b\u76f4\u63a5\u7684\u306a\u95a2\u4fc2\u3092\u5f97\u308b\u3053\u3068\u304c\u3067\u304d\u3001\u6a19\u6e96\u5f62\u306b\u79d8\u3081\u3089\u308c\u305f\u3059\u3079\u3066\u306e\u60c5\u5831\u3092\u660e\u3089\u304b\u306b\u3059\u308b\u3053\u3068\u304c\u53ef\u80fd\u3068\u306a\u308a\u307e\u3059\uff1a<\/p>\n<ul style=\"text-align: justify;\">\n<li>\u4e2d\u5fc3\u306e\u5ea7\u6a19\uff1a <span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle (h,k) = \\left( -\\dfrac{\\beta}{2\\alpha}, -\\dfrac{\\delta}{2\\gamma}\\right)<\/span><\/li>\n<li>\u6c34\u5e73\u534a\u8ef8\u306e\u9577\u3055\uff1a <span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle a = \\sqrt{\\dfrac{1}{\\alpha}\\left(\\dfrac{\\beta^2}{4\\alpha } + \\dfrac{\\delta^2}{4\\gamma } - \\epsilon\\right)}<\/span><\/li>\n<li>\u5782\u76f4\u534a\u8ef8\u306e\u9577\u3055\uff1a <span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle b = \\sqrt{\\dfrac{1}{\\gamma}\\left(\\dfrac{\\beta^2}{4\\alpha } + \\dfrac{\\delta^2}{4\\gamma } - \\epsilon\\right)}<\/span><\/li>\n<\/ul>\n<p style=\"text-align: justify;\">\u3053\u308c\u3067\u3001\u6a19\u6e96\u5f62\u304b\u3089\u76f4\u63a5\u6955\u5186\u3092\u8a8d\u8b58\u3057\u3001\u30b0\u30e9\u30d5\u3092\u63cf\u304f\u3053\u3068\u304c\u53ef\u80fd\u306b\u306a\u308a\u307e\u3059\u3002\u305d\u306e\u30b0\u30e9\u30d5\u306f\u6b21\u306e\u3088\u3046\u306b\u8868\u793a\u3055\u308c\u307e\u3059\uff1a<\/p>\n<p><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/1.bp.blogspot.com\/-aVD7YQ7DfL0\/YJKBv9QXeTI\/AAAAAAAAFEQ\/urCuFtrn-YYBQ_fVSGXsmhMqExFumag-ACLcBGAsYHQ\/s0\/elipse.PNG\" class=\" aligncenter lazyload\" width=\"414\" height=\"291\" \/><noscript><img decoding=\"async\" src=\"https:\/\/1.bp.blogspot.com\/-aVD7YQ7DfL0\/YJKBv9QXeTI\/AAAAAAAAFEQ\/urCuFtrn-YYBQ_fVSGXsmhMqExFumag-ACLcBGAsYHQ\/s0\/elipse.PNG\" class=\" aligncenter lazyload\" width=\"414\" height=\"291\" \/><\/noscript><\/p>\n<p><a name=\"5\"><\/a><\/p>\n<h2>\u53cc\u66f2\u7dda\u306e\u7279\u5fb4\u3065\u3051<\/h2>\n<p style=\"text-align: justify;\"><a href=\"https:\/\/www.youtube.com\/watch?v=d21_9EHUv_M&amp;t=911s\" target=\"_blank\" rel=\"noopener\"><strong>\u5b8c\u5168\u306b\u540c\u69d8\u306a\u65b9\u6cd5\u3067\u3001<\/strong><\/a>\u6a19\u6e96\u65b9\u7a0b\u5f0f\u304b\u3089\u53cc\u66f2\u7dda\u3092\u5b8c\u5168\u306b\u7279\u5fb4\u3065\u3051\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u5b9f\u969b\u3001\u3053\u306e\u89e3\u6790\u306f\u975e\u5e38\u306b\u985e\u4f3c\u3057\u3066\u3044\u308b\u305f\u3081\u3001\u6955\u5186\u306e\u89e3\u6790\u3092\u30b3\u30d4\u30fc\u3057\u3001\u3044\u304f\u3064\u304b\u306e\u90e8\u5206\u3060\u3051\u3092\u5909\u66f4\u3059\u308b\u3053\u3068\u3067\u5bfe\u5fdc\u3067\u304d\u307e\u3059\u3002<\/p>\n<table style=\"text-align: justify;\">\n<tbody>\n<tr>\n<td width=\"50\">(1)<\/td>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">\\alpha x^2+ \\beta x - \\gamma y^2 + \\delta y + \\epsilon = 0<\/span><\/td>\n<td>; \u53cc\u66f2\u7dda\u306e\u6a19\u6e96\u5f62\u65b9\u7a0b\u5f0f<\/td>\n<\/tr>\n<tr>\n<td>(2)<\/td>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\alpha \\left( x^2+ \\dfrac{\\beta}{\\alpha }x\\right) - \\gamma \\left(y^2 - \\dfrac{\\delta}{\\gamma }y\\right) =- \\epsilon<\/span><\/td>\n<td>; \u56e0\u6570\u5206\u89e3\u304a\u3088\u3073\u9805\u306e\u6574\u7406<\/td>\n<\/tr>\n<tr>\n<td>(3)<\/td>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\alpha \\left( x + \\dfrac{\\beta}{2 \\alpha }\\right)^2 - \\gamma \\left(y - \\dfrac{\\delta}{2 \\gamma } \\right)^2 =\\dfrac{\\beta^2}{4\\alpha } - \\dfrac{\\delta^2}{4\\gamma } - \\epsilon<\/span><\/td>\n<td>; \u5e73\u65b9\u5b8c\u6210\u304a\u3088\u3073\u9805\u306e\u6574\u7406<\/td>\n<\/tr>\n<tr>\n<td>(4)<\/td>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\alpha \\dfrac{\\left( x + \\dfrac{\\beta}{2 \\alpha }\\right)^2}{\\left(\\dfrac{\\beta^2}{4\\alpha } - \\dfrac{\\delta^2}{4\\gamma } - \\epsilon\\right)} - \\gamma \\dfrac{\\left(y - \\dfrac{\\delta}{2 \\gamma } \\right)^2}{\\left(\\dfrac{\\beta^2}{4\\alpha } - \\dfrac{\\delta^2}{4\\gamma } - \\epsilon\\right)} = 1<\/span><\/td>\n<td>; \u5168\u4f53\u3092 <span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\dfrac{\\beta^2}{4\\alpha } - \\dfrac{\\delta^2}{4\\gamma } - \\epsilon<\/span> \u3067\u5272\u308b<\/td>\n<\/tr>\n<tr>\n<td>(5)<\/td>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\dfrac{\\left( x + \\dfrac{\\beta}{2 \\alpha }\\right)^2}{\\dfrac{1}{\\alpha}\\left(\\dfrac{\\beta^2}{4\\alpha } - \\dfrac{\\delta^2}{4\\gamma } - \\epsilon\\right)} - \\dfrac{\\left(y - \\dfrac{\\delta}{2 \\gamma } \\right)^2}{\\dfrac{1}{\\gamma}\\left(\\dfrac{\\beta^2}{4\\alpha } - \\dfrac{\\delta^2}{4\\gamma } - \\epsilon\\right)} = 1<\/span><\/td>\n<td>; <span class=\"katex-eq\" data-katex-display=\"false\">\\alpha<\/span> \u304a\u3088\u3073 <span class=\"katex-eq\" data-katex-display=\"false\">\\gamma<\/span> \u306e\u6574\u7406<\/td>\n<\/tr>\n<tr>\n<td>(6)<\/td>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\left( \\dfrac{ x - \\left(-\\dfrac{\\beta}{2 \\alpha }\\right)}{\\sqrt{\\dfrac{1}{\\alpha}\\left(\\dfrac{\\beta^2}{4\\alpha } - \\dfrac{\\delta^2}{4\\gamma } - \\epsilon\\right)}}\\right)^2 - \\left( \\dfrac{y - \\left(\\dfrac{\\delta}{2 \\gamma } \\right)}{\\sqrt{\\dfrac{1}{\\gamma}\\left(\\dfrac{\\beta^2}{4\\alpha } - \\dfrac{\\delta^2}{4\\gamma } - \\epsilon\\right)}}\\right)^2 = 1<\/span><\/td>\n<td>; \u5e73\u65b9\u6839\u306b\u3088\u308b\u518d\u69cb\u6210<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p style=\"text-align: justify;\">\u3053\u308c\u306b\u3088\u308a\u3001\u53cc\u66f2\u7dda\u306e\u6a19\u6e96\u5f62\u3068\u4e00\u822c\u65b9\u7a0b\u5f0f\u3068\u306e\u9593\u306b\u76f4\u63a5\u7684\u306a\u95a2\u4fc2\u304c\u5f97\u3089\u308c\u3001\u305d\u308c\u3092\u5229\u7528\u3057\u3066\u30b0\u30e9\u30d5\u3092\u8fc5\u901f\u306b\u4f5c\u6210\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n<p style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\left(\\dfrac{x-h}{a} \\right)^2 - \\left(\\dfrac{y-k}{b} \\right)^2 =1 <\/span>\n<p style=\"text-align: justify;\">\u3053\u3053\u3067\u306f\u3001\u6955\u5186\u306e\u5834\u5408\u3068\u306f\u7570\u306a\u308a\u3001\u4ee5\u4e0b\u306e\u56f3\u306b\u793a\u3059\u3088\u3046\u306b\u300c\u751f\u6210\u30dc\u30c3\u30af\u30b9\uff08caja generadora\uff09\u300d\u3068\u3044\u3046\u7528\u8a9e\u3092\u7528\u3044\u308b\u306e\u304c\u3088\u308a\u9069\u5207\u3067\u3059\uff1a<\/p>\n<ul style=\"text-align: justify;\">\n<li>\u4e2d\u5fc3\u306e\u5ea7\u6a19\uff1a <span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle (h,k) = \\left( -\\dfrac{\\beta}{2\\alpha}, \\dfrac{\\delta}{2\\gamma}\\right)<\/span><\/li>\n<li>\u6c34\u5e73\u534a\u8ef8\u306e\u9577\u3055\uff1a <span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle a = \\sqrt{\\dfrac{1}{\\alpha}\\left(\\dfrac{\\beta^2}{4\\alpha } - \\dfrac{\\delta^2}{4\\gamma } - \\epsilon\\right)}<\/span><\/li>\n<li>\u5782\u76f4\u534a\u8ef8\u306e\u9577\u3055\uff1a <span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle b = \\sqrt{\\dfrac{1}{\\gamma}\\left(\\dfrac{\\beta^2}{4\\alpha } - \\dfrac{\\delta^2}{4\\gamma } - \\epsilon\\right)}<\/span><\/li>\n<\/ul>\n<p><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/1.bp.blogspot.com\/-bd0n_BuEFiE\/YJKJ1fPDhMI\/AAAAAAAAFEY\/-QjR2QbycSkKJihjHnwmdIDESYgNDyuBgCLcBGAsYHQ\/s0\/hiperbola.PNG\" alt=\"\u53cc\u66f2\u7dda\" class=\" aligncenter lazyload\" width=\"428\" height=\"305\" \/><noscript><img decoding=\"async\" src=\"https:\/\/1.bp.blogspot.com\/-bd0n_BuEFiE\/YJKJ1fPDhMI\/AAAAAAAAFEY\/-QjR2QbycSkKJihjHnwmdIDESYgNDyuBgCLcBGAsYHQ\/s0\/hiperbola.PNG\" alt=\"\u53cc\u66f2\u7dda\" class=\" aligncenter lazyload\" width=\"428\" height=\"305\" \/><\/noscript><\/p>\n<p style=\"text-align: justify;\">\u3053\u308c\u3089\u306e\u89e3\u6790\u7d50\u679c\u306b\u3088\u308a\u3001\u5186\u9310\u66f2\u7dda\u306e\u30d5\u30a1\u30df\u30ea\u30fc\u306b\u5c5e\u3059\u308b\u3042\u3089\u3086\u308b\u66f2\u7dda\u3092\u7279\u5225\u306a\u56f0\u96e3\u306a\u304f\u30b0\u30e9\u30d5\u5316\u3059\u308b\u3053\u3068\u304c\u53ef\u80fd\u3068\u306a\u308a\u307e\u3059\u3002<\/p>\n<p><a name=\"6\"><\/a><\/p>\n<h2>\u7df4\u7fd2\u554f\u984c\uff08\u89e3\u7b54\u4ed8\u304d\uff09<\/h2>\n<p><center><iframe class=\"lazyload\" width=\"560\" height=\"315\" data-src=\"https:\/\/www.youtube.com\/embed\/PKjQrcC0HG4\" title=\"YouTube video player\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture\" allowfullscreen><\/iframe><\/center><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u5186\u9310\u66f2\u7dda\uff1a\u653e\u7269\u7dda\u3001\u6955\u5186\u304a\u3088\u3073\u53cc\u66f2\u7dda\u306e\u7279\u5fb4\u3065\u3051\u3068\u30b0\u30e9\u30d5 \u8981\u7d04\uff1a \u672c\u8b1b\u7fa9\u3067\u306f\u3001\u5186\u9310\u66f2\u7dda\uff08\u653e\u7269\u7dda\u3001\u6955\u5186\u3001\u53cc\u66f2\u7dda\uff09\u3092\u6271\u3044\u3001\u305d\u306e\u6a19\u6e96\u5f62\u304a\u3088\u3073\u4e00\u822c\u5f62\u306e\u65b9\u7a0b\u5f0f\u304b\u3089\u59cb\u3081\u307e\u3059\u3002\u5404\u66f2\u7dda\u3092\u8b58\u5225\u3057\u7279\u5fb4\u3065\u3051\u308b\u65b9\u6cd5\u3092\u8aac\u660e\u3057\u3001\u653e\u7269\u7dda\u306b\u304a\u3044\u3066\u306f\u9802\u70b9\u3001\u7126\u70b9\u3001\u5bfe\u79f0\u8ef8\u3068\u3044\u3063\u305f\u91cd\u8981\u306a\u8981\u7d20\u306b\u7126\u70b9\u3092\u5f53\u3066\u307e\u3059\u3002\u307e\u305f\u3001\u4fc2\u6570\u306e\u7b26\u53f7\u306b\u57fa\u3065\u304f\u6955\u5186\u3068\u53cc\u66f2\u7dda\u306e\u533a\u5225\u306b\u3064\u3044\u3066\u3082\u89e3\u8aac\u3057\u307e\u3059\u3002 \u5b66\u7fd2\u76ee\u6a19\uff1a \u672c\u8b1b\u7fa9\u306e\u7d42\u4e86\u6642\u306b\u306f\u3001\u5b66\u751f\u306f\u4ee5\u4e0b\u304c\u3067\u304d\u308b\u3088\u3046\u306b\u306a\u308a\u307e\u3059\uff1a 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