{"id":33730,"date":"2021-04-28T13:00:27","date_gmt":"2021-04-28T13:00:27","guid":{"rendered":"https:\/\/toposuranos.com\/material\/?p=33730"},"modified":"2025-07-30T21:05:19","modified_gmt":"2025-07-30T21:05:19","slug":"%e6%a5%95%e5%86%86%e3%81%8a%e3%82%88%e3%81%b3%e5%86%86%e3%81%ae%e6%96%b9%e7%a8%8b%e5%bc%8f","status":"publish","type":"post","link":"https:\/\/toposuranos.com\/material\/ja\/%e6%a5%95%e5%86%86%e3%81%8a%e3%82%88%e3%81%b3%e5%86%86%e3%81%ae%e6%96%b9%e7%a8%8b%e5%bc%8f\/","title":{"rendered":"\u6955\u5186\u304a\u3088\u3073\u5186\u306e\u65b9\u7a0b\u5f0f"},"content":{"rendered":"<p><center><\/p>\n<h1>\u6955\u5186\u304a\u3088\u3073\u5186\u306e\u65b9\u7a0b\u5f0f<\/h1>\n<p><em><strong>\u8981\u7d04\uff1a<\/strong><br \/>\n   \u672c\u8b1b\u7fa9\u3067\u306f\u3001\u6955\u5186\u306e\u5e7e\u4f55\u5b66\u7684\u5b9a\u7fa9\u306b\u57fa\u3065\u304f\u65b9\u7a0b\u5f0f\u306e\u5c0e\u51fa\u65b9\u6cd5\u306b\u3064\u3044\u3066\u89e3\u8aac\u3057\u307e\u3059\u3002\u6955\u5186\u306e\u5b9a\u7fa9\u3068\u306f\u3001\u300c\u6955\u5186\u4e0a\u306e\u4efb\u610f\u306e\u70b9\u304b\u3089\u4e8c\u3064\u306e\u56fa\u5b9a\u3055\u308c\u305f\u7126\u70b9\u307e\u3067\u306e\u8ddd\u96e2\u306e\u548c\u304c\u5e38\u306b\u4e00\u5b9a\u3067\u3042\u308b\u300d\u3068\u3044\u3046\u3082\u306e\u3067\u3059\u3002\u8a73\u7d30\u306a\u4ee3\u6570\u7684\u5c55\u958b\u3092\u901a\u3058\u3066\u3001\u6955\u5186\u306e\u4e00\u822c\u5f0f\u304a\u3088\u3073\u6a19\u6e96\u5f62\u3092\u5c0e\u51fa\u3057\u3001\u307e\u305f\u3001\u6955\u5186\u3068\u5186\u3068\u306e\u95a2\u4fc2\u306b\u3064\u3044\u3066\u3082\u793a\u3057\u307e\u3059\u3002\u7279\u306b\u3001\u534a\u5f84\u304c\u7b49\u3057\u3044\u5834\u5408\u306b\u306f\u5186\u304c\u6955\u5186\u306e\u7279\u6b8a\u306a\u5834\u5408\u3068\u306a\u308b\u3053\u3068\u304c\u793a\u3055\u308c\u307e\u3059\u3002<br \/>\n   <\/em><\/p>\n<p>   <strong>\u5b66\u7fd2\u76ee\u6a19\uff1a<\/strong><br \/>\n   \u672c\u8b1b\u7fa9\u306e\u7d42\u4e86\u6642\u306b\u5b66\u751f\u306f\u4ee5\u4e0b\u306e\u3053\u3068\u304c\u3067\u304d\u308b\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<ol style=\"text-align:left;\">\n<li><strong>\u5c0e\u51fa\u3059\u308b<\/strong>\uff1a\u6955\u5186\u306e\u5e7e\u4f55\u5b66\u7684\u5b9a\u7fa9\u304b\u3089\u305d\u306e\u65b9\u7a0b\u5f0f\u3092\u5c0e\u51fa\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u308b\u3002<\/li>\n<li><strong>\u8a8d\u8b58\u3059\u308b<\/strong>\uff1a\u6955\u5186\u306e\u65b9\u7a0b\u5f0f\u306e\u4e00\u822c\u5f62\u304a\u3088\u3073\u6a19\u6e96\u5f62\u3092\u7406\u89e3\u3057\u8b58\u5225\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u308b\u3002<\/li>\n<\/ol>\n<p>   \u76ee\u6b21\uff1a<br \/>\n   <a href=\"#1\">\u5e7e\u4f55\u5b66\u7684\u5b9a\u5f0f\u5316<\/a><br \/>\n   <a href=\"#2\">\u6955\u5186\u306e\u65b9\u7a0b\u5f0f\u306e\u5c0e\u51fa<\/a><br \/>\n   <a href=\"#3\">\u6955\u5186\u306e\u4e00\u822c\u5f0f<\/a><br \/>\n   <a href=\"#4\">\u6955\u5186\u306e\u6a19\u6e96\u5f62<\/a><br \/>\n   <a href=\"#5\">\u5186\u306e\u65b9\u7a0b\u5f0f\u3078\u306e\u5e30\u7740<\/a>\n   <\/p>\n<p><\/center><\/p>\n<p><center><iframe class=\"lazyload\" width=\"560\" height=\"315\" data-src=\"https:\/\/www.youtube.com\/embed\/HHiC0bp-Vyc\" title=\"YouTube video player\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture\" allowfullscreen><\/iframe><\/center><br \/>\n<a name=\"1\"><\/a><\/p>\n<h2>\u5e7e\u4f55\u5b66\u7684\u5b9a\u5f0f\u5316<\/h2>\n<p style=\"text-align: justify;\"><a href=\"https:\/\/www.youtube.com\/watch?v=HHiC0bp-Vyc&amp;t=133s\" target=\"_blank\" rel=\"noopener\"><strong>\u6955\u5186\u3092\u8868\u3059\u65b9\u7a0b\u5f0f\u3092\u5c0e\u51fa\u3059\u308b\u306b\u306f\u3001<\/strong><\/a>\u653e\u7269\u7dda\u306e\u5834\u5408\u3068\u540c\u69d8\u306b\u3001\u305d\u308c\u304c\u610f\u5473\u3059\u308b\u5e7e\u4f55\u5b66\u7684\u6982\u5ff5\u306b\u3064\u3044\u3066\u8003\u5bdf\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002\u6955\u5186\u3068\u306f\u3001\u5e73\u9762\u4e0a\u306e\u5168\u3066\u306e\u70b9\u306e\u96c6\u5408\u3067\u3042\u308a\u3001\u305d\u306e\u5404\u70b9\u304b\u3089\u4e8c\u3064\u306e\u56fa\u5b9a\u3055\u308c\u305f\u70b9\uff08\u7126\u70b9\uff09\u307e\u3067\u306e\u8ddd\u96e2\u306e\u548c\u304c\u5e38\u306b\u4e00\u5b9a\u3067\u3042\u308b\u3088\u3046\u306a\u70b9\u306e\u96c6\u307e\u308a\u3067\u3059\u3002<\/p>\n<p><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/1.bp.blogspot.com\/-rHroj77w4-o\/YIhoGfTvE_I\/AAAAAAAAFAw\/2Yoa3Q2yrmknQMPObDz8wuyDoOehCug5QCLcBGAsYHQ\/s0\/elipse.PNG\" alt=\"\u6955\u5186\" class=\" aligncenter lazyload\" width=\"338\" height=\"241\" \/><noscript><img decoding=\"async\" src=\"https:\/\/1.bp.blogspot.com\/-rHroj77w4-o\/YIhoGfTvE_I\/AAAAAAAAFAw\/2Yoa3Q2yrmknQMPObDz8wuyDoOehCug5QCLcBGAsYHQ\/s0\/elipse.PNG\" alt=\"\u6955\u5186\" class=\" aligncenter lazyload\" width=\"338\" height=\"241\" \/><\/noscript><\/p>\n<p style=\"text-align: justify;\">\u3064\u307e\u308a\u3001\u6b21\u306e\u5f0f\u304c\u5e38\u306b\u6210\u308a\u7acb\u3061\u307e\u3059\uff1a<\/p>\n<p style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">d(f_1,p) + d(f_2,p) = \u5b9a\u6570<\/span>\n<p><a name=\"2\"><\/a><\/p>\n<h2>\u6955\u5186\u306e\u65b9\u7a0b\u5f0f\u306e\u5c0e\u51fa<\/h2>\n<p style=\"text-align: justify;\"><a href=\"https:\/\/www.youtube.com\/watch?v=HHiC0bp-Vyc&amp;t=311s\" target=\"_blank\" rel=\"noopener\"><strong>\u6955\u5186\u306e\u5e7e\u4f55\u5b66\u7684\u5b9a\u7fa9<\/strong><\/a>\u306b\u57fa\u3065\u3044\u3066\u3001\u305d\u308c\u3092\u8868\u3059\u4ee3\u6570\u7684\u306a\u5f0f\u3092\u5c0e\u304f\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u3053\u308c\u3092\u7c21\u5358\u306b\u884c\u3046\u305f\u3081\u306b\u3001\u3044\u304f\u3064\u304b\u306e\u7c21\u7565\u5316\u3092\u884c\u3044\u307e\u3059\u3002\u4e00\u822c\u6027\u3092\u5931\u3046\u3053\u3068\u306a\u304f\u3001\u7126\u70b9\u306e\u4f4d\u7f6e\u3092 <span class=\"katex-eq\" data-katex-display=\"false\">f_1 =(-c,0)<\/span> \u304a\u3088\u3073 <span class=\"katex-eq\" data-katex-display=\"false\">f_2 =(c,0)<\/span> \u3068\u4eee\u5b9a\u3057\u307e\u3059\u3002\u3053\u306e\u3068\u304d\u3001\u4efb\u610f\u306e\u70b9 <span class=\"katex-eq\" data-katex-display=\"false\">p=(x,y)<\/span> \u304c\u6955\u5186\u4e0a\u306b\u3042\u308b\u3068\u3059\u308c\u3070\u3001\u6b21\u306e\u6761\u4ef6\u304c\u6210\u308a\u7acb\u3061\u307e\u3059\uff1a<\/p>\n<p style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">\\sqrt{(x+c)^2 + y^2} + \\sqrt{(x-c)^2 + y^2} = 2a<\/span>\n<p><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/1.bp.blogspot.com\/-LtAamnh5D78\/YIiBshjM70I\/AAAAAAAAFA4\/hGiHx6jf_nMOOUHfH-Ywj34TyDJDGEv-wCLcBGAsYHQ\/s0\/ecuacion%2Bde%2Blas%2Belipses.PNG\" alt=\"\u6955\u5186\u306e\u65b9\u7a0b\u5f0f\" class=\" aligncenter lazyload\" width=\"412\" height=\"333\" \/><noscript><img decoding=\"async\" src=\"https:\/\/1.bp.blogspot.com\/-LtAamnh5D78\/YIiBshjM70I\/AAAAAAAAFA4\/hGiHx6jf_nMOOUHfH-Ywj34TyDJDGEv-wCLcBGAsYHQ\/s0\/ecuacion%2Bde%2Blas%2Belipses.PNG\" alt=\"\u6955\u5186\u306e\u65b9\u7a0b\u5f0f\" class=\" aligncenter lazyload\" width=\"412\" height=\"333\" \/><\/noscript><\/p>\n<p style=\"text-align: justify;\">\u3053\u3053\u3067\u3001<span class=\"katex-eq\" data-katex-display=\"false\">a\\in\\mathbb{R}<\/span> \u306f\u4e00\u5b9a\u306e\u5b9a\u6570\u3067\u3059\u3002\u3053\u308c\u306b\u57fa\u3065\u3044\u3066\u6b21\u306e\u3088\u3046\u306a\u8ad6\u7406\u5c55\u958b\u3092\u884c\u3046\u3053\u3068\u304c\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\">\\sqrt{(x+c)^2 + y^2} + \\sqrt{(x-c)^2 + y^2} = 2a<\/span><\/td>\n<td>\uff1b\u6955\u5186\u306e\u5e7e\u4f55\u5b66\u7684\u5b9a\u7fa9<\/td>\n<\/tr>\n<tr>\n<td><\/td>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">\\sqrt{(x-c)^2 + y^2} = 2a - \\sqrt{(x+c)^2 + y^2}<\/span><\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td>(2)<\/td>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">(x-c)^2 + \\cancel{y^2} = 4a^2 -4a \\sqrt{(x+c)^2 + y^2} + (x+c)^2 + \\cancel{y^2}<\/span><\/td>\n<td>\uff1b(1) \u3092\u4e8c\u4e57\u3059\u308b<\/td>\n<\/tr>\n<tr>\n<td><\/td>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">(x-c)^2 = 4a^2 -4a \\sqrt{(x+c)^2 + y^2} + (x+c)^2 <\/span><\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td><\/td>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">\\cancel{x^2} -2xc + \\cancel{c^2} = 4a^2 -4a \\sqrt{(x+c)^2 + y^2} + \\cancel{x^2} +2xc + \\cancel{c^2} <\/span><\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td><\/td>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">-2xc = 4a^2 -4a \\sqrt{(x+c)^2 + y^2} +2xc <\/span><\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td><\/td>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">4a \\sqrt{(x+c)^2 + y^2} = 4a^2 +4xc = 4(a^2 + xc) <\/span><\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td><\/td>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">a \\sqrt{(x+c)^2 + y^2} = a^2 + xc <\/span><\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td>(3)<\/td>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">a^2 [(x+c)^2 + y^2] = (a^2 + xc)^2 <\/span><\/td>\n<td>\uff1b(2) \u3092\u4e8c\u4e57\u3059\u308b<\/td>\n<\/tr>\n<tr>\n<td><\/td>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">a^2 [x^2 + 2xc + c2 + y^2] = a^4 +2a^2xc + x^2c^2 <\/span><\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td><\/td>\n<td><span class=\"katex-eq\" data-katex-display=\"false\"> a^2 x^2 + \\cancel{2xca^2} + a^2 c2 + a^2 y^2 = a^4 + \\cancel{2a^2xc} + x^2c^2 <\/span><\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td><\/td>\n<td><span class=\"katex-eq\" data-katex-display=\"false\"> a^2 x^2 + a^2 c2 + a^2 y^2 = a^4 + x^2c^2 <\/span><\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td><\/td>\n<td><span class=\"katex-eq\" data-katex-display=\"false\"> x^2 (a^2 - c^2) + a^2 y^2 = a^4 - a^2 c^2 =a^2(a^2-c^2) <\/span><\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td><\/td>\n<td><span class=\"katex-eq\" data-katex-display=\"false\"> \\dfrac{x^2}{a^2} +\\dfrac{ y^2}{a^2-c^2} = 1 <\/span><\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td>(4)<\/td>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">0\\lt a^2 - c^2 =: b^2 <\/span><\/td>\n<td>\uff1b<span class=\"katex-eq\" data-katex-display=\"false\">b^2<\/span> \u3067\u8868\u3055\u308c\u308b\u6570\u306f\u6b63\u3067\u3042\u308a\u3001\u3053\u308c\u306f\u56f3\u304b\u3089\u660e\u3089\u304b\u3067\u3042\u308b\u3002<\/td>\n<\/tr>\n<tr>\n<td>(5)<\/td>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">{\\dfrac{x^2}{a^2} +\\dfrac{ y^2}{b^2} = 1}<\/span><\/td>\n<td>\uff1b(3) \u304a\u3088\u3073 (4) \u3088\u308a<\/td>\n<\/tr>\n<tr>\n<td><\/td>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">\\boxed{\\left(\\dfrac{x}{a}\\right)^2 + \\left(\\dfrac{y}{b}\\right)^2 = 1}<\/span><\/td>\n<td><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p style=\"text-align: center;\">\u3053\u306e\u6700\u7d42\u5f62\u3053\u305d\u304c\u300c\u6955\u5186\u306e\u65b9\u7a0b\u5f0f\u300d\u3068\u547c\u3070\u308c\u308b\u3082\u306e\u3067\u3059\u3002<\/p>\n<p><a name=\"3\"><\/a><\/p>\n<h2>\u6955\u5186\u306e\u4e00\u822c\u5f0f<\/h2>\n<p style=\"text-align: justify;\"><a href=\"https:\/\/www.youtube.com\/watch?v=HHiC0bp-Vyc&amp;t=706s\" target=\"_blank\" rel=\"noopener\"><strong>\u5148\u307b\u3069\u5c0e\u51fa\u3057\u305f\u65b9\u7a0b\u5f0f\u306f\u3001<\/strong><\/a>\u5e73\u884c\u79fb\u52d5\u306e\u5909\u63db\u306b\u3088\u3063\u3066\u4e00\u822c\u5f62\u306b\u66f8\u304d\u63db\u3048\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u5177\u4f53\u7684\u306b\u306f\u3001<span class=\"katex-eq\" data-katex-display=\"false\">x\\longmapsto (x-h)<\/span> \u304a\u3088\u3073 <span class=\"katex-eq\" data-katex-display=\"false\">y\\longmapsto (y-k)<\/span> \u306e\u7f6e\u63db\u3092\u884c\u3044\u307e\u3059\u3002\u3053\u308c\u306b\u3088\u308a\u3001\u6955\u5186\u306e\u4e00\u822c\u5f62\u306e\u65b9\u7a0b\u5f0f\u306f\u6b21\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<p style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">\\boxed{\\left(\\dfrac{x-h}{a}\\right)^2 + \\left(\\dfrac{y-k}{b}\\right)^2 = 1}<\/span>\n<p style=\"text-align: justify;\">\u3053\u306e\u5f0f\u306f\u3001\u4e2d\u5fc3\u304c <span class=\"katex-eq\" data-katex-display=\"false\">(h,k)<\/span> \u306b\u3042\u308b\u6955\u5186\u3092\u8868\u3057\u3066\u3044\u307e\u3059\u3002<\/p>\n<p><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/1.bp.blogspot.com\/-lkxt91FvMTs\/YIiQaL9wpII\/AAAAAAAAFBA\/sUxc6ajd6tcPymC8g4oh3M0l2CTI-xOvgCLcBGAsYHQ\/s0\/elipsegeneral.PNG\" alt=\"\u4e00\u822c\u6955\u5186\" class=\" aligncenter lazyload\" width=\"469\" height=\"373\" \/><noscript><img decoding=\"async\" src=\"https:\/\/1.bp.blogspot.com\/-lkxt91FvMTs\/YIiQaL9wpII\/AAAAAAAAFBA\/sUxc6ajd6tcPymC8g4oh3M0l2CTI-xOvgCLcBGAsYHQ\/s0\/elipsegeneral.PNG\" alt=\"\u4e00\u822c\u6955\u5186\" class=\" aligncenter lazyload\" width=\"469\" height=\"373\" \/><\/noscript><br \/>\n<a name=\"4\"><\/a><\/p>\n<h2>\u6955\u5186\u306e\u6a19\u6e96\u5f62<\/h2>\n<p style=\"text-align: justify;\"><a href=\"https:\/\/www.youtube.com\/watch?v=HHiC0bp-Vyc&amp;t=761s\" target=\"_blank\" rel=\"noopener\"><strong>\u3053\u306e\u65b9\u7a0b\u5f0f\u306b\u4ee3\u6570\u7684\u306a\u64cd\u4f5c\u3092\u52a0\u3048\u308b\u3053\u3068\u3067\u3001<\/strong><\/a>\u6955\u5186\u306e\u6a19\u6e96\u5f62\u306e\u65b9\u7a0b\u5f0f\u306b\u5230\u9054\u3057\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\">\\left(\\dfrac{x-h}{a}\\right)^2 + \\left(\\dfrac{y-k}{b}\\right)^2 = 1<\/span><\/td>\n<td>\uff1b\u6955\u5186\u306e\u4e00\u822c\u5f0f<\/td>\n<\/tr>\n<tr>\n<td><\/td>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">b^2 (x-h)^2 + a^2(y-k)^2 = a^2 b^2<\/span><\/td>\n<td>\uff1b\u5168\u4f53\u3092 <span class=\"katex-eq\" data-katex-display=\"false\">a^2b^2<\/span> \u3067\u639b\u3051\u308b<\/td>\n<\/tr>\n<tr>\n<td><\/td>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">b^2 [x^2-2xh+h^2] + a^2[y^2-2yk + k^2] = a^2 b^2<\/span><\/td>\n<td>\uff1b\u4e8c\u4e57\u3092\u5c55\u958b\u3059\u308b<\/td>\n<\/tr>\n<tr>\n<td><\/td>\n<td><span class=\"katex-eq\" data-katex-display=\"false\"> b^2 x^2-2hb^2 x + h^2b^2 + a^2 y^2-2ka^2y + k^2a^2 = a^2 b^2<\/span><\/td>\n<td>\uff1b\u304b\u3063\u3053\u3092\u5c55\u958b\u3059\u308b<\/td>\n<\/tr>\n<tr>\n<td><\/td>\n<td><span class=\"katex-eq\" data-katex-display=\"false\"> b^2 x^2- 2hb^2 x + a^2 y^2-2ka^2y +(h^2b^2 + k^2a^2 - a^2 b^2) = 0 <\/span><\/td>\n<td>\uff1b\u5b9a\u6570\u9805\u3092\u307e\u3068\u3081\u308b<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p style=\"text-align: justify;\">\u3053\u306e\u6700\u7d42\u5f0f\u306b\u304a\u3044\u3066\u3001\u6b21\u306e\u3088\u3046\u306b\u7f6e\u63db\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\uff1a<span class=\"katex-eq\" data-katex-display=\"false\">A:=b^2,<\/span> <span class=\"katex-eq\" data-katex-display=\"false\">B:=-2hb^2,<\/span> <span class=\"katex-eq\" data-katex-display=\"false\">C:=a^2,<\/span> <span class=\"katex-eq\" data-katex-display=\"false\">D:=-2ka^2,<\/span> \u304a\u3088\u3073 <span class=\"katex-eq\" data-katex-display=\"false\">E:=h^2b^2 + k^2a^2 - a^2 b^2.<\/span> \u3053\u308c\u306b\u3088\u308a\u3001\u6955\u5186\u306f\u6b21\u306e\u5f62\u306e\u65b9\u7a0b\u5f0f\u3067\u8a18\u8ff0\u3055\u308c\u308b\u3053\u3068\u306b\u306a\u308a\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\u308c\u304c\u3001\u3044\u308f\u3086\u308b\u300c\u6955\u5186\u306e\u6a19\u6e96\u5f62\u300d\u3068\u547c\u3070\u308c\u308b\u65b9\u7a0b\u5f0f\u3067\u3059\u3002<\/p>\n<p style=\"text-align: justify;\">\u3053\u306e\u5c55\u958b\u304b\u3089\u3001\u6a19\u6e96\u5f62\u306b\u304a\u3051\u308b\u5b9a\u6570\u306b\u5bfe\u3059\u308b\u3044\u304f\u3064\u304b\u306e\u5236\u7d04\u6761\u4ef6\u3092\u8aad\u307f\u53d6\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u6700\u3082\u91cd\u8981\u306a\u306e\u306f\u3001<span class=\"katex-eq\" data-katex-display=\"false\">A<\/span> \u3068 <span class=\"katex-eq\" data-katex-display=\"false\">C<\/span> \u304c\u540c\u7b26\u53f7\u3067\u306a\u3051\u308c\u3070\u306a\u3089\u306a\u3044\u3068\u3044\u3046\u70b9\u3067\u3059\u3002\u305d\u3046\u3067\u306a\u3044\u5834\u5408\u3001\u6955\u5186\u3067\u306f\u306a\u304f\u53cc\u66f2\u7dda\u3092\u8868\u3059\u3053\u3068\u306b\u306a\u308a\u307e\u3059\u3002\u6a19\u6e96\u5f62\u306e\u5b9a\u6570\u306b\u95a2\u3059\u308b\u5236\u7d04\u306f\u4ed6\u306b\u3082\u5b58\u5728\u3057\u307e\u3059\u304c\u3001\u305d\u308c\u306b\u3064\u3044\u3066\u306f\u6955\u5186\u3084\u53cc\u66f2\u7dda\u306e\u7279\u5fb4\u3065\u3051\u3092\u5b66\u3076\u969b\u306b\u8a73\u3057\u304f\u6271\u3044\u307e\u3059\u3002<\/p>\n<p><a name=\"5\"><\/a><\/p>\n<h2>\u5186\u306e\u65b9\u7a0b\u5f0f\u3078\u306e\u5e30\u7740<\/h2>\n<p style=\"text-align: justify;\"><a href=\"https:\/\/www.youtube.com\/watch?v=HHiC0bp-Vyc&amp;t=948s\" target=\"_blank\" rel=\"noopener\"><strong>\u6955\u5186\u306e\u7279\u5fb4\u3065\u3051\u306b\u3064\u3044\u3066<\/strong><\/a>\u5b66\u3076\u969b\u306b\u78ba\u8a8d\u3059\u308b\u3053\u3068\u306e\u4e00\u3064\u306f\u3001\u65b9\u7a0b\u5f0f\u4e2d\u306e\u5b9a\u6570 <span class=\"katex-eq\" data-katex-display=\"false\">a<\/span> \u304a\u3088\u3073 <span class=\"katex-eq\" data-katex-display=\"false\">b<\/span> \u304c\u305d\u308c\u305e\u308c\u6955\u5186\u306e\u9577\u8ef8\u304a\u3088\u3073\u77ed\u8ef8\u306b\u5bfe\u5fdc\u3057\u3066\u3044\u308b\u3068\u3044\u3046\u70b9\u3067\u3059\u3002\u3082\u3057\u3053\u306e\u4e8c\u3064\u306e\u8ef8\u306e\u9577\u3055\u304c\u7b49\u3057\u3044\u3001\u3059\u306a\u308f\u3061 <span class=\"katex-eq\" data-katex-display=\"false\">a = b = r<\/span> \u3068\u3059\u308c\u3070\u3001\u305d\u306e\u6955\u5186\u306f\u534a\u5f84 <span class=\"katex-eq\" data-katex-display=\"false\">r<\/span> \u306e\u5186\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<h3>\u5186\u306e\u4e00\u822c\u5f0f<\/h3>\n<p style=\"text-align: justify;\">\u3053\u306e\u3088\u3046\u306b\u3057\u3066\u3001\u5186\u306e\u4e00\u822c\u7684\u306a\u65b9\u7a0b\u5f0f\u306f\u6b21\u306e\u3088\u3046\u306b\u5f97\u3089\u308c\u307e\u3059\uff1a<\/p>\n<p style=\"text-align: justify;\"><span class=\"katex-eq\" data-katex-display=\"false\">(x-h)^2 + (y-k)^2 = r^2<\/span>\n<h3>\u5186\u306e\u6a19\u6e96\u5f62<\/h3>\n<p style=\"text-align: justify;\">\u540c\u69d8\u306b\u3057\u3066\u3001\u5186\u306e\u6a19\u6e96\u5f62\u306e\u65b9\u7a0b\u5f0f\u306f\u6b21\u306e\u3088\u3046\u306b\u8868\u3055\u308c\u307e\u3059\uff1a<\/p>\n<p style=\"text-align: justify;\"><span class=\"katex-eq\" data-katex-display=\"false\">Ax^2 + Bx + Cy^2 + Dy + E = 0<\/span>\n<p style=\"text-align: justify;\">\u6a19\u6e96\u5f62\u3067\u306f\u6955\u5186\u3068\u4e00\u81f4\u3057\u307e\u3059\u3002\u306a\u305c\u306a\u3089\u3001\u65e2\u306b\u898b\u305f\u3088\u3046\u306b\u3001\u5186\u306f\u6955\u5186\u306e\u7279\u6b8a\u306a\u5834\u5408\u3067\u3042\u308b\u304b\u3089\u3067\u3059\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u6955\u5186\u304a\u3088\u3073\u5186\u306e\u65b9\u7a0b\u5f0f \u8981\u7d04\uff1a \u672c\u8b1b\u7fa9\u3067\u306f\u3001\u6955\u5186\u306e\u5e7e\u4f55\u5b66\u7684\u5b9a\u7fa9\u306b\u57fa\u3065\u304f\u65b9\u7a0b\u5f0f\u306e\u5c0e\u51fa\u65b9\u6cd5\u306b\u3064\u3044\u3066\u89e3\u8aac\u3057\u307e\u3059\u3002\u6955\u5186\u306e\u5b9a\u7fa9\u3068\u306f\u3001\u300c\u6955\u5186\u4e0a\u306e\u4efb\u610f\u306e\u70b9\u304b\u3089\u4e8c\u3064\u306e\u56fa\u5b9a\u3055\u308c\u305f\u7126\u70b9\u307e\u3067\u306e\u8ddd\u96e2\u306e\u548c\u304c\u5e38\u306b\u4e00\u5b9a\u3067\u3042\u308b\u300d\u3068\u3044\u3046\u3082\u306e\u3067\u3059\u3002\u8a73\u7d30\u306a\u4ee3\u6570\u7684\u5c55\u958b\u3092\u901a\u3058\u3066\u3001\u6955\u5186\u306e\u4e00\u822c\u5f0f\u304a\u3088\u3073\u6a19\u6e96\u5f62\u3092\u5c0e\u51fa\u3057\u3001\u307e\u305f\u3001\u6955\u5186\u3068\u5186\u3068\u306e\u95a2\u4fc2\u306b\u3064\u3044\u3066\u3082\u793a\u3057\u307e\u3059\u3002\u7279\u306b\u3001\u534a\u5f84\u304c\u7b49\u3057\u3044\u5834\u5408\u306b\u306f\u5186\u304c\u6955\u5186\u306e\u7279\u6b8a\u306a\u5834\u5408\u3068\u306a\u308b\u3053\u3068\u304c\u793a\u3055\u308c\u307e\u3059\u3002 \u5b66\u7fd2\u76ee\u6a19\uff1a \u672c\u8b1b\u7fa9\u306e\u7d42\u4e86\u6642\u306b\u5b66\u751f\u306f\u4ee5\u4e0b\u306e\u3053\u3068\u304c\u3067\u304d\u308b\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002 \u5c0e\u51fa\u3059\u308b\uff1a\u6955\u5186\u306e\u5e7e\u4f55\u5b66\u7684\u5b9a\u7fa9\u304b\u3089\u305d\u306e\u65b9\u7a0b\u5f0f\u3092\u5c0e\u51fa\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u308b\u3002 \u8a8d\u8b58\u3059\u308b\uff1a\u6955\u5186\u306e\u65b9\u7a0b\u5f0f\u306e\u4e00\u822c\u5f62\u304a\u3088\u3073\u6a19\u6e96\u5f62\u3092\u7406\u89e3\u3057\u8b58\u5225\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u308b\u3002 \u76ee\u6b21\uff1a \u5e7e\u4f55\u5b66\u7684\u5b9a\u5f0f\u5316 \u6955\u5186\u306e\u65b9\u7a0b\u5f0f\u306e\u5c0e\u51fa \u6955\u5186\u306e\u4e00\u822c\u5f0f \u6955\u5186\u306e\u6a19\u6e96\u5f62 \u5186\u306e\u65b9\u7a0b\u5f0f\u3078\u306e\u5e30\u7740 \u5e7e\u4f55\u5b66\u7684\u5b9a\u5f0f\u5316 \u6955\u5186\u3092\u8868\u3059\u65b9\u7a0b\u5f0f\u3092\u5c0e\u51fa\u3059\u308b\u306b\u306f\u3001\u653e\u7269\u7dda\u306e\u5834\u5408\u3068\u540c\u69d8\u306b\u3001\u305d\u308c\u304c\u610f\u5473\u3059\u308b\u5e7e\u4f55\u5b66\u7684\u6982\u5ff5\u306b\u3064\u3044\u3066\u8003\u5bdf\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002\u6955\u5186\u3068\u306f\u3001\u5e73\u9762\u4e0a\u306e\u5168\u3066\u306e\u70b9\u306e\u96c6\u5408\u3067\u3042\u308a\u3001\u305d\u306e\u5404\u70b9\u304b\u3089\u4e8c\u3064\u306e\u56fa\u5b9a\u3055\u308c\u305f\u70b9\uff08\u7126\u70b9\uff09\u307e\u3067\u306e\u8ddd\u96e2\u306e\u548c\u304c\u5e38\u306b\u4e00\u5b9a\u3067\u3042\u308b\u3088\u3046\u306a\u70b9\u306e\u96c6\u307e\u308a\u3067\u3059\u3002 \u3064\u307e\u308a\u3001\u6b21\u306e\u5f0f\u304c\u5e38\u306b\u6210\u308a\u7acb\u3061\u307e\u3059\uff1a \u6955\u5186\u306e\u65b9\u7a0b\u5f0f\u306e\u5c0e\u51fa 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