{"id":33718,"date":"2021-04-27T13:00:56","date_gmt":"2021-04-27T13:00:56","guid":{"rendered":"https:\/\/toposuranos.com\/material\/?p=33718"},"modified":"2025-07-30T20:45:18","modified_gmt":"2025-07-30T20:45:18","slug":"%e6%94%be%e7%89%a9%e7%b7%9a%e3%81%a8%e3%81%9d%e3%81%ae%e3%82%b0%e3%83%a9%e3%83%95%e3%81%ae%e7%89%b9%e5%be%b4%e4%bb%98%e3%81%91","status":"publish","type":"post","link":"http:\/\/toposuranos.com\/material\/ja\/%e6%94%be%e7%89%a9%e7%b7%9a%e3%81%a8%e3%81%9d%e3%81%ae%e3%82%b0%e3%83%a9%e3%83%95%e3%81%ae%e7%89%b9%e5%be%b4%e4%bb%98%e3%81%91\/","title":{"rendered":"\u653e\u7269\u7dda\u3068\u305d\u306e\u30b0\u30e9\u30d5\u306e\u7279\u5fb4\u4ed8\u3051"},"content":{"rendered":"<p><center><\/p>\n<h1>\u653e\u7269\u7dda\u3068\u305d\u306e\u30b0\u30e9\u30d5\u306e\u7279\u5fb4\u4ed8\u3051<\/h1>\n<p><em><strong>\u8981\u7d04\uff1a<\/strong><br \/>\n   \u3053\u306e\u6388\u696d\u3067\u306f\u3001\u653e\u7269\u7dda\u306e\u4e00\u822c\u5f0f\u3068\u6a19\u6e96\u5f62\u304b\u3089\u306e\u7279\u5fb4\u4ed8\u3051\u3092\u898b\u76f4\u3057\u3001\u9802\u70b9\u3001\u7126\u70b9\u3001\u6e96\u7dda\u3001\u5bfe\u79f0\u8ef8\u3001X\u8ef8\u3068\u306e\u4ea4\u70b9\u306a\u3069\u306e\u4e3b\u8981\u8981\u7d20\u3092\u8b58\u5225\u3059\u308b\u65b9\u6cd5\u306b\u3064\u3044\u3066\u8aac\u660e\u3057\u307e\u3059\u3002<br \/>\n   <\/em><br \/>\n   <strong>\u5b66\u7fd2\u76ee\u6a19\uff1a<\/strong><br \/>\n   \u3053\u306e\u6388\u696d\u306e\u7d42\u4e86\u6642\u306b\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><strong>\u8a08\u7b97\u3059\u308b\uff1a<\/strong> \u653e\u7269\u7dda\u306e\u4e00\u822c\u5f0f\u304a\u3088\u3073\u6a19\u6e96\u5f62\u304b\u3089\u9802\u70b9\u3001\u7126\u70b9\u3001\u6e96\u7dda\u306e\u4f4d\u7f6e\u3092\u8a08\u7b97\u3059\u308b\u3002<\/li>\n<li><strong>\u5909\u63db\u3059\u308b\uff1a<\/strong> \u6a19\u6e96\u5f62\u306e\u65b9\u7a0b\u5f0f\u3092\u4e00\u822c\u5f0f\u306b\u5909\u63db\u3057\u3066\u5e7e\u4f55\u5b66\u7684\u60c5\u5831\u3092\u62bd\u51fa\u3059\u308b\u3002<\/li>\n<li><strong>\u6982\u7565\u56f3\u3092\u63cf\u304f\uff1a<\/strong> \u5f97\u3089\u308c\u305f\u60c5\u5831\u3092\u3082\u3068\u306b\u653e\u7269\u7dda\u306e\u30b0\u30e9\u30d5\u3092\u6982\u7565\u7684\u306b\u63cf\u304f\u3002<\/li>\n<\/ol>\n<p>   <strong>\u76ee\u6b21<\/strong><br \/>\n   <a href=\"#1\">\u653e\u7269\u7dda\u306e\u4e00\u822c\u5f0f\u3068\u6a19\u6e96\u5f62<\/a><br \/>\n   <a href=\"#2\">\u4e00\u822c\u5f0f\u304b\u3089\u306e\u653e\u7269\u7dda\u306e\u7279\u5fb4\u4ed8\u3051<\/a><br \/>\n   <a href=\"#3\">\u6a19\u6e96\u5f62\u304b\u3089\u306e\u653e\u7269\u7dda\u306e\u7279\u5fb4\u4ed8\u3051<\/a><br \/>\n   <a href=\"#4\">Excel\u306b\u3088\u308b\u81ea\u52d5\u7279\u5fb4\u4ed8\u3051<\/a>\n   <\/p>\n<p><\/center><br \/>\n<center><iframe class=\"lazyload\" width=\"560\" height=\"315\" data-src=\"https:\/\/www.youtube.com\/embed\/C6DbrJDiZTM\" 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>\u653e\u7269\u7dda\u306e\u4e00\u822c\u5f0f\u3068\u6a19\u6e96\u5f62<\/h2>\n<p style=\"text-align: justify;\">\u524d\u56de\u306e\u6388\u696d\u3067\u306f\u3001\u653e\u7269\u7dda\u306f\u4ee5\u4e0b\u306e\u3088\u3046\u306a\u4e00\u822c\u5f0f\u3067\u4ee3\u6570\u7684\u306b\u8868\u73fe\u3067\u304d\u308b\u3053\u3068\u3092\u5b66\u3073\u307e\u3057\u305f\u3002<\/p>\n<p style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">(x-x_0)^2 =4f(y-y_0)<\/span>\n<p style=\"text-align: justify;\">\u3053\u3053\u3067\u3001<span class=\"katex-eq\" data-katex-display=\"false\">(x_0,y_0)<\/span> \u306f\u9802\u70b9\u306e\u5ea7\u6a19\u3067\u3042\u308a\u3001<span class=\"katex-eq\" data-katex-display=\"false\">f<\/span> \u306f\u7126\u70b9\u8ddd\u96e2\u3067\u3059\u3002\u3082\u3057 <span class=\"katex-eq\" data-katex-display=\"false\">f \\gt 0<\/span> \u3067\u3042\u308c\u3070\u3001\u7126\u70b9\u306f\u9802\u70b9\u306e\u4e0a\u306b <span class=\"katex-eq\" data-katex-display=\"false\">f<\/span> \u3060\u3051\u306e\u8ddd\u96e2\u306b\u3042\u308a\u3001<span class=\"katex-eq\" data-katex-display=\"false\">f\\lt 0<\/span> \u3067\u3042\u308c\u3070\u3001\u7126\u70b9\u306f\u9802\u70b9\u306e\u4e0b\u306b <span class=\"katex-eq\" data-katex-display=\"false\">f<\/span> \u3060\u3051\u306e\u8ddd\u96e2\u306b\u3042\u308a\u307e\u3059\u3002<\/p>\n<p style=\"text-align: justify;\">\u307e\u305f\u3001\u653e\u7269\u7dda\u306e\u65b9\u7a0b\u5f0f\u3092\u6a19\u6e96\u5f62\u306b\u5909\u5f62\u3059\u308b\u3068\u30012\u6b21\u5f0f\u3068\u3057\u3066\u8868\u3059\u3053\u3068\u304c\u3067\u304d\u308b\u3053\u3068\u3082\u78ba\u8a8d\u3057\u307e\u3057\u305f\u3002<\/p>\n<p style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">y(x) = 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;\"><a href=\"https:\/\/www.youtube.com\/watch?v=C6DbrJDiZTM&amp;t=228s\" target=\"_blank\" rel=\"noopener\"><strong>\u653e\u7269\u7dda\u306e\u7279\u5fb4\u4ed8\u3051\u3068\u306f<\/strong><\/a> \u4ee5\u4e0b\u306e\u60c5\u5831\u3092\u660e\u3089\u304b\u306b\u3059\u308b\u3053\u3068\u3067\u3059\u3002<\/p>\n<ul style=\"text-align: justify;\">\n<li>\u9802\u70b9\u306e\u5ea7\u6a19<\/li>\n<li>\u7126\u70b9\u306e\u5ea7\u6a19<\/li>\n<li>\u6e96\u7dda\u306e\u65b9\u7a0b\u5f0f<\/li>\n<li>\u5bfe\u79f0\u8ef8\u306e\u65b9\u7a0b\u5f0f<\/li>\n<li>X\u8ef8\u3068\u306e\u4ea4\u70b9\uff08\u5b58\u5728\u3059\u308b\u5834\u5408\uff09<\/li>\n<li>\u6700\u5f8c\u306b\u3001\u53ce\u96c6\u3057\u305f\u60c5\u5831\u3092\u3082\u3068\u306b\u30b0\u30e9\u30d5\u306e\u6982\u7565\u56f3\u3092\u4f5c\u6210\u3059\u308b\u3002<\/li>\n<\/ul>\n<p><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/1.bp.blogspot.com\/-xAUdvfTRbjw\/YIbmIXDdT-I\/AAAAAAAAFAI\/8NH0t_EWbH0KIuFDnsRu2IyHdyN4WU54wCLcBGAsYHQ\/s0\/caracterizaci%25C3%25B3n%2Bde%2Bpar%25C3%25A1bolas.PNG\" alt=\"\u653e\u7269\u7dda\u306e\u7279\u5fb4\u4ed8\u3051\" class=\" aligncenter lazyload\" width=\"537\" height=\"414\" \/><noscript><img decoding=\"async\" src=\"https:\/\/1.bp.blogspot.com\/-xAUdvfTRbjw\/YIbmIXDdT-I\/AAAAAAAAFAI\/8NH0t_EWbH0KIuFDnsRu2IyHdyN4WU54wCLcBGAsYHQ\/s0\/caracterizaci%25C3%25B3n%2Bde%2Bpar%25C3%25A1bolas.PNG\" alt=\"\u653e\u7269\u7dda\u306e\u7279\u5fb4\u4ed8\u3051\" class=\" aligncenter lazyload\" width=\"537\" height=\"414\" \/><\/noscript><br \/>\n<a name=\"2\"><\/a><\/p>\n<h2>\u4e00\u822c\u5f0f\u304b\u3089\u306e\u653e\u7269\u7dda\u306e\u7279\u5fb4\u4ed8\u3051<\/h2>\n<p style=\"text-align: justify;\"><a href=\"https:\/\/www.youtube.com\/watch?v=C6DbrJDiZTM&amp;t=316s\" target=\"_blank\" rel=\"noopener\"><strong>\u653e\u7269\u7dda\u304c\u4e00\u822c\u5f0f\u3067\u8868\u3055\u308c\u3066\u3044\u308b\u5834\u5408\u3001<\/strong><\/a>\u305d\u306e\u7279\u5fb4\u4ed8\u3051\u306b\u5fc5\u8981\u306a\u60c5\u5831\u306e\u307b\u3068\u3093\u3069\u306f\u65e2\u306b\u5f97\u3089\u308c\u3066\u3044\u307e\u3059\u3002X\u8ef8\u3068\u306e\u4ea4\u70b9\u306e\u307f\u304c\u8ffd\u52a0\u306e\u89e3\u6790\u3092\u5fc5\u8981\u3068\u3057\u307e\u3059\u3002<\/p>\n<p style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">(x-x_0)^2 =4f(y-y_0)<\/span>\n<p style=\"text-align: justify;\">\u3053\u306e\u5f0f\u304b\u3089\u4ee5\u4e0b\u304c\u5206\u304b\u308a\u307e\u3059\uff1a<\/p>\n<ul style=\"text-align: justify;\">\n<li><strong>\u9802\u70b9\uff1a<\/strong> \u5ea7\u6a19 <span class=\"katex-eq\" data-katex-display=\"false\">(x_0,y_0)<\/span> \u306e\u70b9<\/li>\n<li><strong>\u7126\u70b9\u306e\u4f4d\u7f6e\uff1a<\/strong> \u9802\u70b9\u306e\u4e0a\u306b <span class=\"katex-eq\" data-katex-display=\"false\">f<\/span> \u5358\u4f4d<\/li>\n<li><strong>\u7126\u70b9\uff1a<\/strong> \u5ea7\u6a19 <span class=\"katex-eq\" data-katex-display=\"false\">(x_0,y_0 + f)<\/span> \u306e\u70b9<\/li>\n<li><strong>\u6e96\u7dda\uff1a<\/strong> \u65b9\u7a0b\u5f0f <span class=\"katex-eq\" data-katex-display=\"false\">y= y_0 - f<\/span> \u306e\u76f4\u7dda<\/li>\n<li><strong>\u5bfe\u79f0\u8ef8\uff1a<\/strong> \u65b9\u7a0b\u5f0f <span class=\"katex-eq\" data-katex-display=\"false\">x= x_0<\/span> \u306e\u76f4\u7dda<\/li>\n<\/ul>\n<p style=\"text-align: justify;\">X\u8ef8\u3068\u306e\u4ea4\u70b9\u3092\u6c42\u3081\u308b\u306b\u306f\u3001\u4e00\u822c\u5f0f\u3092\u6a19\u6e96\u5f62\u306b\u5909\u63db\u3057\u3001\u5f97\u3089\u308c\u305f2\u6b21\u65b9\u7a0b\u5f0f\u3092\u30bc\u30ed\u306b\u7b49\u3057\u304f\u3057\u3066\u89e3\u304d\u307e\u3059\u3002\u89e3\u304c\u5b58\u5728\u3059\u308c\u3070\u3001\u305d\u308c\u304cX\u8ef8\u3068\u306e\u4ea4\u70b9\u3068\u306a\u308a\u307e\u3059\u3002<\/p>\n<p><a name=\"3\"><\/a><\/p>\n<h2>\u6a19\u6e96\u5f62\u304b\u3089\u306e\u653e\u7269\u7dda\u306e\u7279\u5fb4\u4ed8\u3051<\/h2>\n<p style=\"text-align: justify;\"><a href=\"https:\/\/www.youtube.com\/watch?v=C6DbrJDiZTM&amp;t=393s\" target=\"_blank\" rel=\"noopener\"><strong>\u653e\u7269\u7dda\u306e\u65b9\u7a0b\u5f0f\u304c\u6a19\u6e96\u5f62\u3067\u4e0e\u3048\u3089\u308c\u3066\u3044\u308b\u5834\u5408\u3001<\/strong><\/a>2\u3064\u306e\u65b9\u6cd5\u304c\u5b58\u5728\u3057\u307e\u3059\uff1a1) \u4e00\u822c\u5f0f\u306b\u5909\u63db\u3057\u3066\u7279\u5fb4\u4ed8\u3051\u308b\u65b9\u6cd5\u30012) \u5bfe\u79f0\u6027\u3068X\u8ef8\u3068\u306e\u4ea4\u70b9\u3092\u5229\u7528\u3059\u308b\u65b9\u6cd5\u3002\u3069\u3061\u3089\u306e\u65b9\u6cd5\u306b\u3082\u5229\u70b9\u304c\u3042\u308a\u307e\u3059\u3002\u5f8c\u8005\u306f\u901a\u5e38\u3088\u308a\u8fc5\u901f\u3067\u3059\u304c\u3001\u653e\u7269\u7dda\u304c\u5fc5\u305a\u3057\u3082X\u8ef8\u3068\u4ea4\u5dee\u3059\u308b\u3068\u306f\u9650\u308a\u307e\u305b\u3093\u3002\u524d\u8005\u306f\u5c11\u3057\u8907\u96d1\u3067\u3059\u304c\u3001\u5f8c\u307b\u3069\u898b\u308b\u3088\u3046\u306b\u81ea\u52d5\u5316\u304c\u5bb9\u6613\u3067\u3059\u3002\u3053\u3053\u3067\u306f\u4e21\u65b9\u306e\u65b9\u6cd5\u3092\u691c\u8a0e\u3057\u3001\u3042\u306a\u305f\u306e\u597d\u307f\u3068\u5fc5\u8981\u306b\u5fdc\u3058\u3066\u9078\u3079\u308b\u3088\u3046\u306b\u3057\u307e\u3059\u3002<\/p>\n<h3>\u4e00\u822c\u5f0f\u3078\u306e\u5909\u63db<\/h3>\n<p style=\"text-align: justify;\"><a href=\"https:\/\/www.youtube.com\/watch?v=C6DbrJDiZTM&amp;t=475s\" target=\"_blank\" rel=\"noopener\"><strong>\u4e00\u822c\u5f0f\u3078\u306e\u5909\u63db\u306f\u3001<\/strong><\/a>\u4ee5\u4e0b\u306e\u3088\u3046\u306a\u63a8\u8ad6\u306b\u3088\u3063\u3066\u884c\u308f\u308c\u307e\u3059\u3002\u3053\u3053\u3067 <span class=\"katex-eq\" data-katex-display=\"false\">a,b,c\\in\\mathbb{R}<\/span> \u304b\u3064 <span class=\"katex-eq\" data-katex-display=\"false\">a\\neq 0<\/span> \u3067\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\">y=ax^2 + bx + c<\/span><\/td>\n<td>; \u653e\u7269\u7dda\u306e\u6a19\u6e96\u5f62<\/td>\n<\/tr>\n<tr>\n<td><\/td>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">y=a\\left[x^2 + \\dfrac{b}{a}x + \\dfrac{c}{a}\\right]<\/span><\/td>\n<td>; <span class=\"katex-eq\" data-katex-display=\"false\">a<\/span> \u3067\u304f\u304f\u308b<\/td>\n<\/tr>\n<tr>\n<td><\/td>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">y=a\\left[ \\left(x + \\dfrac{b}{2a}\\right)^2 - \\dfrac{b^2}{4a^2} + \\dfrac{c}{a}\\right]<\/span><\/td>\n<td>; \u306a\u305c\u306a\u3089 <span class=\"katex-eq\" data-katex-display=\"false\">\\left(x + \\dfrac{b}{2a}\\right)^2 = x^2 + \\dfrac{b}{a}x + \\dfrac{b^2}{4a^2}<\/span> \u3060\u304b\u3089<\/td>\n<\/tr>\n<tr>\n<td><\/td>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">y=a\\left[ \\left(x + \\dfrac{b}{2a}\\right)^2 + \\dfrac{4ac - b^2}{4a^2} \\right]<\/span><\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td><\/td>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">y=a \\left(x + \\dfrac{b}{2a}\\right)^2 + \\dfrac{4ac - b^2}{4a}<\/span><\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td><\/td>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">y=a \\left(x + \\dfrac{b}{2a}\\right)^2 + \\left(c - \\dfrac{b^2}{4a}\\right)<\/span><\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td><\/td>\n<td><span class=\"katex-eq\" data-katex-display=\"false\"> \\left[x - \\left(- \\dfrac{b}{2a}\\right)\\right]^2 = \\dfrac{1}{a} \\left[y - \\left(c - \\dfrac{b^2}{4a}\\right)\\right]<\/span><\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td><\/td>\n<td><span class=\"katex-eq\" data-katex-display=\"false\"> \\left[x - \\left( -\\dfrac{b}{2a}\\right)\\right]^2 = 4\\left(\\dfrac{1}{4a}\\right) \\left[y - \\left(c - \\dfrac{b^2}{4a}\\right)\\right]<\/span><\/td>\n<td>; \u653e\u7269\u7dda\u306e\u4e00\u822c\u5f0f<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p style=\"text-align: justify;\">\u3053\u3053\u304b\u3089\u3001\u4e00\u822c\u5f0f\u306b\u304a\u3051\u308b\u30d1\u30e9\u30e1\u30fc\u30bf\u3068\u6a19\u6e96\u5f62\u306e\u30d1\u30e9\u30e1\u30fc\u30bf\u3092\u95a2\u9023\u4ed8\u3051\u308b\u3053\u3068\u306b\u3088\u3063\u3066\u3001\u4e00\u822c\u5f0f\u304b\u3089\u5f97\u3089\u308c\u305f\u3059\u3079\u3066\u306e\u60c5\u5831\u3092\u62bd\u51fa\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u3053\u306e\u3088\u3046\u306b\u3057\u3066\u6b21\u306e\u3053\u3068\u304c\u5f97\u3089\u308c\u307e\u3059\uff1a<\/p>\n<ul style=\"text-align: justify;\">\n<li><strong>\u9802\u70b9\uff1a<\/strong> \u5ea7\u6a19 <span class=\"katex-eq\" data-katex-display=\"false\">(x_0,y_0) = \\left(-\\dfrac{b}{2a}, c -\\dfrac{b^2}{4a} \\right)<\/span> \u306e\u70b9<\/li>\n<li><strong>\u7126\u70b9\u306e\u4f4d\u7f6e\uff1a<\/strong> \u9802\u70b9\u306e\u4e0a\u306b <span class=\"katex-eq\" data-katex-display=\"false\">f = \\dfrac{1}{4a}<\/span> \u5358\u4f4d<\/li>\n<li><strong>\u7126\u70b9\uff1a<\/strong> \u5ea7\u6a19 <span class=\"katex-eq\" data-katex-display=\"false\">(x_0,y_0 + f) = \\left(-\\dfrac{b}{2a}, c -\\dfrac{b^2}{4a} + \\dfrac{1}{4a}\\right) =\\left(-\\dfrac{b}{2a}, c +\\dfrac{1-b^2}{4a}\\right)<\/span> \u306e\u70b9<\/li>\n<li><strong>\u6e96\u7dda\uff1a<\/strong> \u65b9\u7a0b\u5f0f <span class=\"katex-eq\" data-katex-display=\"false\">y=y_0 - f= c -\\dfrac{b^2}{4a} - \\dfrac{1}{4a} = c -\\dfrac{1 + b^2}{4a}<\/span> \u306e\u76f4\u7dda<\/li>\n<li><strong>\u5bfe\u79f0\u8ef8\uff1a<\/strong> \u65b9\u7a0b\u5f0f <span class=\"katex-eq\" data-katex-display=\"false\">x= x_0 = -\\dfrac{b}{2a}<\/span> \u306e\u76f4\u7dda<\/li>\n<\/ul>\n<p style=\"text-align: justify;\">\u305d\u3057\u3066\u3053\u3053\u304b\u3089\u3001\u653e\u7269\u7dda\u306e\u7279\u5fb4\u4ed8\u3051\u306f\u3053\u308c\u307e\u3067\u898b\u3066\u304d\u305f\u901a\u308a\u3001\u4e00\u822c\u5f0f\u3092\u4f7f\u3063\u3066\u884c\u3046\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n<h3>\u5bfe\u79f0\u6027\u3068X\u8ef8\u3068\u306e\u4ea4\u70b9\u3092\u5229\u7528\u3059\u308b<\/h3>\n<p style=\"text-align: justify;\"><a href=\"https:\/\/www.youtube.com\/watch?v=C6DbrJDiZTM&amp;t=769s\" target=\"_blank\" rel=\"noopener\"><strong>\u653e\u7269\u7dda\u306e\u65b9\u7a0b\u5f0f\u304c<\/strong><\/a>\u6a19\u6e96\u5f62 <span class=\"katex-eq\" data-katex-display=\"false\">y=ax^2 + bx+c<\/span> \u3067\u8868\u3055\u308c\u3066\u3044\u308b\u5834\u5408\u3001X\u8ef8\u3068\u306e\u4ea4\u70b9\u3092\u6c42\u3081\u308b\u306e\u306f\u6bd4\u8f03\u7684\u5bb9\u6613\u3067\u3059\u3002\u6b21\u306e\u65b9\u7a0b\u5f0f\u3092\u89e3\u304f\u3060\u3051\u3067\u6e08\u307f\u307e\u3059\uff1a<\/p>\n<p style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">ax^2 + bx + c = 0<\/span>\n<p style=\"text-align: justify;\">\u3053\u308c\u304c\u89e3\u3051\u308b\u5834\u5408\u3001\u4ea4\u70b9 <span class=\"katex-eq\" data-katex-display=\"false\">x_1<\/span> \u304a\u3088\u3073 <span class=\"katex-eq\" data-katex-display=\"false\">x_2<\/span> \u306f\u6b21\u306e\u3088\u3046\u306b\u4e0e\u3048\u3089\u308c\u307e\u3059\uff1a<\/p>\n<p style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">x_1 = \\dfrac{-b + \\sqrt{b^2-4ac}}{2a}<\/span>\n<p style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">x_2 = \\dfrac{-b - \\sqrt{b^2-4ac}}{2a}<\/span>\n<p style=\"text-align: justify;\">\u653e\u7269\u7dda\u306f\u5bfe\u79f0\u6027\u3092\u6301\u3064\u305f\u3081\u3001\u5bfe\u79f0\u8ef8\u306e\u65b9\u7a0b\u5f0f\u306f\u6b21\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\uff1a<\/p>\n<p style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">x = x_0 = \\dfrac{x_1 + x_2}{2}= -\\dfrac{b}{2a}<\/span>\n<p style=\"text-align: justify;\">\u5bfe\u79f0\u8ef8\u306f\u5fc5\u305a\u653e\u7269\u7dda\u306e\u9802\u70b9\u3092\u901a\u308a\u3001\u305d\u306e\u9802\u70b9\u306e\u5ea7\u6a19\u306f\u6b21\u306e\u901a\u308a\u3067\u3059\uff1a<\/p>\n<p style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">(x_0, y_0) = (x_0, y(x_0)) = \\left( -\\dfrac{b}{2a}, y\\left(-\\dfrac{b}{2a}\\right) \\right)<\/span>\n<p style=\"text-align: justify;\">\u3053\u3053\u3067<\/p>\n<p style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">y_0 = y\\left(-\\dfrac{b}{2a} \\right) = a\\left(-\\dfrac{b}{2a}\\right)^2 + b\\left(-\\dfrac{b}{2a}\\right) + c = \\dfrac{b^2}{4a} - \\dfrac{b^2}{2a} + c = c - \\dfrac{b^2}{4a}<\/span>\n<p style=\"text-align: justify;\">\u3053\u306e\u3088\u3046\u306b\u3057\u3066\u3001\u4ed6\u306e\u65b9\u6cd5\u3067\u3059\u3067\u306b\u5f97\u3089\u308c\u3066\u3044\u305f\u9802\u70b9\u306e\u5ea7\u6a19\u306b\u518d\u3073\u305f\u3069\u308a\u7740\u304f\u3053\u3068\u304c\u3067\u304d\u307e\u3059\uff1a<\/p>\n<p style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">(x_0, y_0) = \\left( -\\dfrac{b}{2a},c - \\dfrac{b^2}{4a} \\right)<\/span>\n<p style=\"text-align: justify;\">\u7126\u70b9\u8ddd\u96e2\u306f\u65e2\u306b\u78ba\u8a8d\u3057\u305f\u3088\u3046\u306b <span class=\"katex-eq\" data-katex-display=\"false\">f=\\dfrac{1}{4a}<\/span> \u3067\u3042\u308a\u3001\u3053\u308c\u306b\u3088\u308a\u6e96\u7dda\u3084\u7126\u70b9\u306a\u3069\u3001\u4e00\u822c\u5f0f\u304b\u3089\u5f97\u3066\u3044\u305f\u3059\u3079\u3066\u306e\u60c5\u5831\u3092\u518d\u3073\u8a08\u7b97\u3059\u308b\u3053\u3068\u304c\u53ef\u80fd\u3067\u3059\u3002<\/p>\n<p><a name=\"4\"><\/a><\/p>\n<h2>Excel\u306b\u3088\u308b\u81ea\u52d5\u7279\u5fb4\u4ed8\u3051<\/h2>\n<p style=\"text-align: justify;\"><a href=\"https:\/\/www.youtube.com\/watch?v=C6DbrJDiZTM&amp;t=1086s\" target=\"_blank\" rel=\"noopener\"><strong>\u3053\u3053\u307e\u3067\u306e\u8ad6\u7406\u3092\u8e0f\u307e\u3048\u308c\u3070\u3001<\/strong><\/a>Excel \u3092\u4f7f\u3063\u3066\u4efb\u610f\u306e\u653e\u7269\u7dda\u306e\u7279\u5fb4\u4ed8\u3051\u3092\u81ea\u52d5\u5316\u3059\u308b\u306e\u306f\u975e\u5e38\u306b\u7c21\u5358\u3067\u3059\u3002\u5177\u4f53\u7684\u306a\u4f8b\u306f <a href=\"https:\/\/drive.google.com\/file\/d\/1LbNOKHHfzlPgHI3_NSzuB_6_b7KmXlTd\/view?usp=sharing\" rel=\"noopener\" target=\"_blank\">\u3053\u3061\u3089<\/a> \u3067\u78ba\u8a8d\u3067\u304d\u307e\u3059\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u653e\u7269\u7dda\u3068\u305d\u306e\u30b0\u30e9\u30d5\u306e\u7279\u5fb4\u4ed8\u3051 \u8981\u7d04\uff1a \u3053\u306e\u6388\u696d\u3067\u306f\u3001\u653e\u7269\u7dda\u306e\u4e00\u822c\u5f0f\u3068\u6a19\u6e96\u5f62\u304b\u3089\u306e\u7279\u5fb4\u4ed8\u3051\u3092\u898b\u76f4\u3057\u3001\u9802\u70b9\u3001\u7126\u70b9\u3001\u6e96\u7dda\u3001\u5bfe\u79f0\u8ef8\u3001X\u8ef8\u3068\u306e\u4ea4\u70b9\u306a\u3069\u306e\u4e3b\u8981\u8981\u7d20\u3092\u8b58\u5225\u3059\u308b\u65b9\u6cd5\u306b\u3064\u3044\u3066\u8aac\u660e\u3057\u307e\u3059\u3002 \u5b66\u7fd2\u76ee\u6a19\uff1a \u3053\u306e\u6388\u696d\u306e\u7d42\u4e86\u6642\u306b\u3001\u5b66\u751f\u306f\u4ee5\u4e0b\u304c\u3067\u304d\u308b\u3088\u3046\u306b\u306a\u308a\u307e\u3059\uff1a \u8a08\u7b97\u3059\u308b\uff1a \u653e\u7269\u7dda\u306e\u4e00\u822c\u5f0f\u304a\u3088\u3073\u6a19\u6e96\u5f62\u304b\u3089\u9802\u70b9\u3001\u7126\u70b9\u3001\u6e96\u7dda\u306e\u4f4d\u7f6e\u3092\u8a08\u7b97\u3059\u308b\u3002 \u5909\u63db\u3059\u308b\uff1a \u6a19\u6e96\u5f62\u306e\u65b9\u7a0b\u5f0f\u3092\u4e00\u822c\u5f0f\u306b\u5909\u63db\u3057\u3066\u5e7e\u4f55\u5b66\u7684\u60c5\u5831\u3092\u62bd\u51fa\u3059\u308b\u3002 \u6982\u7565\u56f3\u3092\u63cf\u304f\uff1a \u5f97\u3089\u308c\u305f\u60c5\u5831\u3092\u3082\u3068\u306b\u653e\u7269\u7dda\u306e\u30b0\u30e9\u30d5\u3092\u6982\u7565\u7684\u306b\u63cf\u304f\u3002 \u76ee\u6b21 \u653e\u7269\u7dda\u306e\u4e00\u822c\u5f0f\u3068\u6a19\u6e96\u5f62 \u4e00\u822c\u5f0f\u304b\u3089\u306e\u653e\u7269\u7dda\u306e\u7279\u5fb4\u4ed8\u3051 \u6a19\u6e96\u5f62\u304b\u3089\u306e\u653e\u7269\u7dda\u306e\u7279\u5fb4\u4ed8\u3051 Excel\u306b\u3088\u308b\u81ea\u52d5\u7279\u5fb4\u4ed8\u3051 \u653e\u7269\u7dda\u306e\u4e00\u822c\u5f0f\u3068\u6a19\u6e96\u5f62 \u524d\u56de\u306e\u6388\u696d\u3067\u306f\u3001\u653e\u7269\u7dda\u306f\u4ee5\u4e0b\u306e\u3088\u3046\u306a\u4e00\u822c\u5f0f\u3067\u4ee3\u6570\u7684\u306b\u8868\u73fe\u3067\u304d\u308b\u3053\u3068\u3092\u5b66\u3073\u307e\u3057\u305f\u3002 \u3053\u3053\u3067\u3001 \u306f\u9802\u70b9\u306e\u5ea7\u6a19\u3067\u3042\u308a\u3001 \u306f\u7126\u70b9\u8ddd\u96e2\u3067\u3059\u3002\u3082\u3057 \u3067\u3042\u308c\u3070\u3001\u7126\u70b9\u306f\u9802\u70b9\u306e\u4e0a\u306b \u3060\u3051\u306e\u8ddd\u96e2\u306b\u3042\u308a\u3001 \u3067\u3042\u308c\u3070\u3001\u7126\u70b9\u306f\u9802\u70b9\u306e\u4e0b\u306b \u3060\u3051\u306e\u8ddd\u96e2\u306b\u3042\u308a\u307e\u3059\u3002 \u307e\u305f\u3001\u653e\u7269\u7dda\u306e\u65b9\u7a0b\u5f0f\u3092\u6a19\u6e96\u5f62\u306b\u5909\u5f62\u3059\u308b\u3068\u30012\u6b21\u5f0f\u3068\u3057\u3066\u8868\u3059\u3053\u3068\u304c\u3067\u304d\u308b\u3053\u3068\u3082\u78ba\u8a8d\u3057\u307e\u3057\u305f\u3002 \u305f\u3060\u3057 \u653e\u7269\u7dda\u306e\u7279\u5fb4\u4ed8\u3051\u3068\u306f \u4ee5\u4e0b\u306e\u60c5\u5831\u3092\u660e\u3089\u304b\u306b\u3059\u308b\u3053\u3068\u3067\u3059\u3002 \u9802\u70b9\u306e\u5ea7\u6a19 \u7126\u70b9\u306e\u5ea7\u6a19 \u6e96\u7dda\u306e\u65b9\u7a0b\u5f0f \u5bfe\u79f0\u8ef8\u306e\u65b9\u7a0b\u5f0f X\u8ef8\u3068\u306e\u4ea4\u70b9\uff08\u5b58\u5728\u3059\u308b\u5834\u5408\uff09 \u6700\u5f8c\u306b\u3001\u53ce\u96c6\u3057\u305f\u60c5\u5831\u3092\u3082\u3068\u306b\u30b0\u30e9\u30d5\u306e\u6982\u7565\u56f3\u3092\u4f5c\u6210\u3059\u308b\u3002 \u4e00\u822c\u5f0f\u304b\u3089\u306e\u653e\u7269\u7dda\u306e\u7279\u5fb4\u4ed8\u3051 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