{"id":33766,"date":"2021-06-26T13:00:11","date_gmt":"2021-06-26T13:00:11","guid":{"rendered":"https:\/\/toposuranos.com\/material\/?p=33766"},"modified":"2025-07-30T23:04:39","modified_gmt":"2025-07-30T23:04:39","slug":"%e4%bb%a3%e6%95%b0%e9%96%a2%e6%95%b0%e3%81%ae%e5%ae%9a%e7%be%a9%e5%9f%9f%e3%83%bb%e5%80%a4%e5%9f%9f%e3%83%bb%e3%82%b0%e3%83%a9%e3%83%95","status":"publish","type":"post","link":"http:\/\/toposuranos.com\/material\/ja\/%e4%bb%a3%e6%95%b0%e9%96%a2%e6%95%b0%e3%81%ae%e5%ae%9a%e7%be%a9%e5%9f%9f%e3%83%bb%e5%80%a4%e5%9f%9f%e3%83%bb%e3%82%b0%e3%83%a9%e3%83%95\/","title":{"rendered":"\u4ee3\u6570\u95a2\u6570\u306e\u5b9a\u7fa9\u57df\u30fb\u5024\u57df\u30fb\u30b0\u30e9\u30d5"},"content":{"rendered":"<p><center><\/p>\n<h1>\u4ee3\u6570\u95a2\u6570\u306e\u5b9a\u7fa9\u57df\u30fb\u5024\u57df\u30fb\u30b0\u30e9\u30d5<\/h1>\n<p><em><strong>\u6982\u8981\uff1a<\/strong><br \/>\n\u3053\u306e\u6388\u696d\u3067\u306f\u3001\u95a2\u6570\u306e\u5b9a\u7fa9\u57df\u30fb\u5024\u57df\u30fb\u30b0\u30e9\u30d5\u306e\u6982\u5ff5\u3092\u5c0e\u5165\u3057\u3001\u305d\u308c\u3089\u3092\u4ee3\u6570\u95a2\u6570\u306e\u5b9f\u7528\u7684\u306a\u4f8b\u306b\u9069\u7528\u3057\u307e\u3059\u3002\u3053\u308c\u3089\u306e\u8981\u7d20\u3092\u7279\u5b9a\u3059\u308b\u305f\u3081\u306e\u56f3\u7684\u304a\u3088\u3073\u89e3\u6790\u7684\u624b\u6cd5\u306b\u3064\u3044\u3066\u3082\u78ba\u8a8d\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\u306f\u3001\u5b66\u751f\u306f\u6b21\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>\u5b9a\u7fa9\u3059\u308b<\/strong>\uff1a\u95a2\u6570\u306e\u5b9a\u7fa9\u57df\u3001\u5024\u57df\u3001\u30b0\u30e9\u30d5\u3092\u6b63\u78ba\u306b\u5b9a\u7fa9\u3059\u308b\u3002<\/li>\n<li><strong>\u9069\u7528\u3059\u308b<\/strong>\uff1a\u4ee3\u6570\u95a2\u6570\u306e\u5b9a\u7fa9\u57df\u304a\u3088\u3073\u5024\u57df\u3092\u56f3\u7684\u624b\u6cd5\u3067\u6c42\u3081\u308b\u3002<\/li>\n<li><strong>\u69cb\u7bc9\u3059\u308b<\/strong>\uff1a\u95a2\u6570\u306e\u6319\u52d5\u3092\u5206\u6790\u3059\u308b\u305f\u3081\u306e\u7b26\u53f7\u8868\u3092\u4f5c\u6210\u3059\u308b\u3002<\/li>\n<\/ol>\n<p><\/center><\/p>\n<p><center><br \/>\n<iframe class=\"lazyload\" width=\"560\" height=\"315\" data-src=\"https:\/\/www.youtube.com\/embed\/zhb8GKlcdA8\" title=\"YouTube video player\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture\" allowfullscreen><\/iframe><br \/>\n<\/center><\/p>\n<h2>\u5b9a\u7fa9\u57df\u30fb\u5024\u57df\u30fb\u30b0\u30e9\u30d5\u306e\u5b9a\u7fa9<\/h2>\n<p style=\"text-align: justify;\">\n\u3053\u3053\u307e\u3067\u306b\u3001\u7dda\u5f62\u95a2\u6570\u3084\u4e8c\u6b21\u95a2\u6570\u306a\u3069\u306b\u3064\u3044\u3066\u304b\u306a\u308a\u8a73\u3057\u304f\u5b66\u7fd2\u3057\u3066\u304d\u307e\u3057\u305f\u3002\u307e\u305f\u3001\u76f4\u7dda\u3001\u653e\u7269\u7dda\u3001\u6955\u5186\u3001\u53cc\u66f2\u7dda\u306e\u3088\u3046\u306a\u66f2\u7dda\u3084\u3001\u591a\u9805\u5f0f\u304a\u3088\u3073\u4e00\u822c\u7684\u306a\u4ee3\u6570\u95a2\u6570\u306b\u5bfe\u3059\u308b\u6f14\u7b97\u3082\u5b66\u3073\u307e\u3057\u305f\u3002\u3053\u308c\u3089\u3092\u8e0f\u307e\u3048\u3066\u3001\u4eca\u56de\u306f\u95a2\u6570\u4e00\u822c\u306b\u95a2\u308f\u308b\u3082\u3046\u5c11\u3057\u57fa\u790e\u7684\u306a\u5074\u9762\u306b\u5165\u308a\u8fbc\u307f\u307e\u3059\u3002\u305d\u306e\u51fa\u767a\u70b9\u3068\u3057\u3066\u3001<strong>\u5b9a\u7fa9\u57df\u30fb\u5024\u57df\u30fb\u30b0\u30e9\u30d5<\/strong>\u306e\u6982\u5ff5\u3092\u5c0e\u5165\u3057\u307e\u3059\u3002\n<\/p>\n<p style=\"text-align: justify;\"><a href=\"https:\/\/www.youtube.com\/watch?v=zhb8GKlcdA8&amp;t=306s\" target=\"_blank\" rel=\"noopener\"><strong><span class=\"katex-eq\" data-katex-display=\"false\">f<\/span> \u3092\u3042\u308b\u95a2\u6570\u3068\u3059\u308b<\/strong><\/a> \u3068\u304d\u3001<span class=\"katex-eq\" data-katex-display=\"false\">A<\/span> \u304a\u3088\u3073 <span class=\"katex-eq\" data-katex-display=\"false\">B<\/span> \u3068\u3044\u3046\u96c6\u5408\u306e\u9593\u3067\u5b9a\u7fa9\u3055\u308c\u308b\u3068\u3057\u307e\u3059\u3002<\/p>\n<p style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">\\begin{matrix}f &amp; : &amp; A &amp; \\longrightarrow &amp; B \\\\ &amp; &amp; x &amp; \\longmapsto &amp; y=f(x)\n\n\\end{matrix}<\/span>\n<p style=\"text-align: justify;\">\u96c6\u5408 <span class=\"katex-eq\" data-katex-display=\"false\">A<\/span> \u304a\u3088\u3073 <span class=\"katex-eq\" data-katex-display=\"false\">B<\/span> \u306f\u305d\u308c\u305e\u308c\u300c\u5165\u529b\u96c6\u5408\u300d\u3068\u300c\u51fa\u529b\u96c6\u5408\u300d\u3068\u547c\u3070\u308c\u307e\u3059\u3002\u3053\u308c\u3089\u306b\u57fa\u3065\u3044\u3066\u3001\u6b21\u306e\u96c6\u5408\u304c\u5b9a\u7fa9\u3055\u308c\u307e\u3059\uff1a<\/p>\n<p style=\"text-align: justify;\"><span class=\"katex-eq\" data-katex-display=\"false\">Dom(f) = \\{x\\in A\\;|\\; (\\exists y \\in B)(y=f(x))\\}<\/span>\n<p style=\"text-align: justify;\"><span class=\"katex-eq\" data-katex-display=\"false\">Rec(f) = \\{y\\in B\\;|\\; (\\exists ! x \\in Dom(f))(y=f(x))\\}<\/span>\n<p style=\"text-align: justify;\"><span class=\"katex-eq\" data-katex-display=\"false\">Graf(f) = \\{(x,y)\\in A\\times B\\;|\\; x\\in Dom(f) \\wedge y=f(x) \\}<\/span>\n<h2>\u4f8b\u306e\u5206\u6790<\/h2>\n<p style=\"text-align: justify;\">\n\u5b9a\u7fa9\u57df\u3001\u5024\u57df\u3001\u304a\u3088\u3073\u30b0\u30e9\u30d5\u306b\u95a2\u3057\u3066\u5b66\u3079\u308b\u3053\u3068\u306f\u672c\u8cea\u7684\u306b\u306f\u7406\u8ad6\u7684\u306a\u554f\u984c\u3067\u3042\u308b\u306b\u3082\u304b\u304b\u308f\u3089\u305a\u3001\u305d\u306e\u7406\u89e3\u306f\u5b9f\u8df5\u7684\u306a\u4f8b\u306e\u5c55\u958b\u306b\u3088\u3063\u3066\u6df1\u307e\u308a\u307e\u3059\u3002\u305d\u3053\u3067\u3001\u6b21\u306b\u793a\u3059\u4e09\u3064\u306e\u30b1\u30fc\u30b9\u3092\u5206\u6790\u3059\u308b\u3053\u3068\u3067\u5b66\u3093\u3067\u3044\u304d\u307e\u3059\u3002\n<\/p>\n<h3>\u95a2\u6570 <span class=\"katex-eq\" data-katex-display=\"false\">f(x) = \\sqrt{1-x^2}<\/span> \u306e\u5b9a\u7fa9\u57df\u30fb\u5024\u57df\u30fb\u30b0\u30e9\u30d5\u3092\u6c42\u3081\u308b<\/h3>\n<p style=\"text-align: justify;\"><a href=\"https:\/\/www.youtube.com\/watch?v=zhb8GKlcdA8&amp;t=560s\" target=\"_blank\" rel=\"noopener\"><strong>\u3053\u306e\u5206\u6790\u3092\u59cb\u3081\u307e\u3057\u3087\u3046<\/strong><\/a>\u3002<span class=\"katex-eq\" data-katex-display=\"false\">y=f(x)<\/span> \u3068\u66f8\u304f\u3053\u3068\u3067\u3001\u6b21\u306e\u3088\u3046\u306a\u65b9\u7a0b\u5f0f\u304c\u5f97\u3089\u308c\u307e\u3059\u3002<\/p>\n<p style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">y = \\sqrt{1-x^2}<\/span>\n<p style=\"text-align: justify;\">\u3053\u306e\u5f0f\u306e\u4e21\u8fba\u3092\u4e8c\u4e57\u3059\u308c\u3070\u3001\u65e2\u77e5\u306e\u5185\u5bb9\u306b\u3064\u306a\u304c\u308b\u5f0f\u304c\u3059\u3050\u306b\u5f97\u3089\u308c\u307e\u3059\u3002<\/p>\n<p style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">\\begin{array}{rl}\n\n&amp; y^2 = 1-x^2 \\\\\n\n\\equiv &amp; x^2 + y^2 = 1 \\end{array}<\/span>\n<p style=\"text-align: justify;\">\u3053\u308c\u306f\u5358\u4f4d\u5186\u306e\u65b9\u7a0b\u5f0f\u3067\u3059\u3002<\/p>\n<p><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/1.bp.blogspot.com\/-DQGthMyBY6g\/YNVVrnVQEfI\/AAAAAAAAFOQ\/6_lf8fRQdDIT9NMqstyLOJ2F7nQM9pc8ACLcBGAsYHQ\/s0\/circulounitario.PNG\" alt=\"\u5358\u4f4d\u5186\u3068\u5b9a\u7fa9\u57df\u30fb\u5024\u57df\u30fb\u30b0\u30e9\u30d5\" class=\"aligncenter lazyload\" width=\"245\" height=\"249\" \/><noscript><img decoding=\"async\" src=\"https:\/\/1.bp.blogspot.com\/-DQGthMyBY6g\/YNVVrnVQEfI\/AAAAAAAAFOQ\/6_lf8fRQdDIT9NMqstyLOJ2F7nQM9pc8ACLcBGAsYHQ\/s0\/circulounitario.PNG\" alt=\"\u5358\u4f4d\u5186\u3068\u5b9a\u7fa9\u57df\u30fb\u5024\u57df\u30fb\u30b0\u30e9\u30d5\" class=\"aligncenter lazyload\" width=\"245\" height=\"249\" \/><\/noscript><\/p>\n<p style=\"text-align: justify;\">\u3057\u304b\u3057\u3001\u3053\u3053\u3067\u306f\u6ce8\u610f\u304c\u5fc5\u8981\u3067\u3059\u3002\u3068\u3044\u3046\u306e\u3082\u3001\u4e21\u8fba\u3092\u4e8c\u4e57\u3059\u308b\u3053\u3068\u3067\u300c\u60c5\u5831\u304c\u8ffd\u52a0\u3055\u308c\u3066\u3044\u308b\u300d\u305f\u3081\u3067\u3059\u3002\u4ee3\u6570\u7684\u306b\u306f\u3001\u5e73\u65b9\u6839\u306e\u6761\u4ef6\u3092\u6e80\u305f\u3059\u5024\u306f 2 \u3064\u5b58\u5728\u3057\u307e\u3059\u304c\u3001\u5206\u6790\u306e\u51fa\u767a\u70b9\u3067\u306f\u5e73\u65b9\u6839\u306f\u95a2\u6570\u3068\u3057\u3066\u5b9a\u7fa9\u3055\u308c\u3066\u304a\u308a\u3001\u95a2\u6570\u306f\u5e38\u306b\u4e00\u610f\u306e\u5024\u3057\u304b\u6301\u3061\u307e\u305b\u3093\u3002\u3053\u3053\u3067\u6271\u3063\u3066\u3044\u308b\u306e\u306f\u4e3b\u5e73\u65b9\u6839\u3067\u3059\u3002\u3053\u306e\u305f\u3081\u3001\u5143\u306e\u5b9a\u7fa9\u306f\u5186\u5168\u4f53\u3067\u306f\u306a\u304f\u3001\u305d\u306e\u4e0a\u534a\u5206\u306e\u307f\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\/-AxSf-9lgnuE\/YNVbSJpd-rI\/AAAAAAAAFOg\/0APXEMWIFpAm8DX9651iD6wcq5bTJwFoQCLcBGAsYHQ\/s0\/circulounitario%2B2.PNG\" alt=\"\u5358\u4f4d\u5186\u3068\u5b9a\u7fa9\u57df\u30fb\u5024\u57df\u30fb\u30b0\u30e9\u30d5\" class=\" aligncenter lazyload\" width=\"401\" height=\"361\" \/><noscript><img decoding=\"async\" src=\"https:\/\/1.bp.blogspot.com\/-AxSf-9lgnuE\/YNVbSJpd-rI\/AAAAAAAAFOg\/0APXEMWIFpAm8DX9651iD6wcq5bTJwFoQCLcBGAsYHQ\/s0\/circulounitario%2B2.PNG\" alt=\"\u5358\u4f4d\u5186\u3068\u5b9a\u7fa9\u57df\u30fb\u5024\u57df\u30fb\u30b0\u30e9\u30d5\" class=\" aligncenter lazyload\" width=\"401\" height=\"361\" \/><\/noscript><\/p>\n<p style=\"text-align: justify;\">\u3053\u306e\u56f3\u304b\u3089\u6b21\u306e\u3053\u3068\u304c\u660e\u3089\u304b\u3067\u3059\uff1a<\/p>\n<p style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">Dom(f) = \\{x\\in\\mathbb{R}\\;|\\; |x|\\leq 1\\} = [-1,1]<\/span>\n<p style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">Rec(f) = \\{y\\in\\mathbb{R}\\;|\\; 0\\leq y\\leq 1\\} = [0,1]<\/span>\n<p style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">Graf(f) = \\{(x,y)\\in \\mathbb{R}\\times \\mathbb{R}\\;|\\; x\\in [-1,1] \\wedge y=\\sqrt{1-x^2}\\}<\/span>\n<p style=\"text-align: justify;\">\u3053\u3053\u3067\u306f\u56f3\u7684\u306a\u8996\u70b9\u304b\u3089\u5206\u6790\u3092\u9032\u3081\u3066\u304d\u307e\u3057\u305f\u304c\u3001\u3053\u308c\u306f\u3088\u308a\u89e3\u6790\u7684\u306a\u65b9\u6cd5\u3067\u3082\u884c\u3046\u3053\u3068\u304c\u53ef\u80fd\u3067\u3059\u3002\u305d\u306e\u305f\u3081\u306b\u306f\u3001\u95a2\u6570\u306b\u542b\u307e\u308c\u308b\u6f14\u7b97\u3092\u691c\u8a0e\u3059\u308c\u3070\u3088\u3044\u306e\u3067\u3059\u3002<\/p>\n<p style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">f(x) = \\color{red}{\\sqrt{{1-x^2}}}<\/span>\n<p style=\"text-align: justify;\">\u90e8\u5206\u5f0f <span class=\"katex-eq\" data-katex-display=\"false\">1-x^2<\/span> \u306f\u3059\u3079\u3066\u306e\u5b9f\u6570\u3067\u5b9a\u7fa9\u3055\u308c\u3066\u3044\u307e\u3059\u3002<\/p>\n<p style=\"text-align: justify;\">\u3057\u304b\u3057\u3001\u5e73\u65b9\u6839\u306f 0 \u4ee5\u4e0a\u306e\u5024\u306e\u307f\u3092\u53d7\u3051\u4ed8\u3051\u307e\u3059\u3002<\/p>\n<p style=\"text-align: justify;\">\u3057\u305f\u304c\u3063\u3066\u3001\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\">\\begin{array}{rlrl}\n\nx\\in Dom(f) &amp; \\leftrightarrow &amp; 0 &amp;\\leq 1-x^2 \\\\\n\n{} &amp; \\leftrightarrow &amp; x^2 &amp;\\leq 1 \\\\\n\n&amp; \\leftrightarrow &amp; |x| &amp;\\leq 1 \\\\\n\n&amp; \\leftrightarrow &amp; -1 &amp;\\leq x \\leq 1 \\\\\n\n\\end{array}\n\n<\/span>\n<p style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">\n\u3057\u305f\u304c\u3063\u3066\uff1a\\; Dom(f) = \\{x\\in \\mathbb{R}\\;|x| \\leq 1\\} = [-1,1]\n<\/span>\n<p style=\"text-align: justify;\">\u5024\u57df\u3092\u6c42\u3081\u308b\u89e3\u6790\u7684\u624b\u6cd5\u306f\u3001\u4e00\u822c\u306b\u3088\u308a\u8907\u96d1\u3067\u3059\u3002\u6700\u3082\u5358\u7d14\u306a\u30b1\u30fc\u30b9\u3067\u306f\u9006\u95a2\u6570\u3092\u6c42\u3081\u308b\u3053\u3068\u3067\u89e3\u6c7a\u3067\u304d\u307e\u3059\u304c\u3001\u305d\u306e\u524d\u306b\u95a2\u6570\u306e\u5408\u6210\u3084\u3088\u308a\u5358\u7d14\u306a\u30b1\u30fc\u30b9\u3092\u5b66\u7fd2\u3059\u308b\u3053\u3068\u304c\u671b\u307e\u3057\u304f\u3001\u7406\u89e3\u306e\u57fa\u76e4\u3092\u7bc9\u304f\u305f\u3081\u306b\u3082\u91cd\u8981\u3067\u3059\u3002\u305d\u306e\u9593\u306f\u3001\u307e\u3082\u306a\u304f\u53d6\u308a\u4e0a\u3052\u308b\u56f3\u7684\u624b\u6cd5\u306b\u3088\u3063\u3066\u3001\u5024\u57df\u306e\u6c7a\u5b9a\u306b\u304a\u3051\u308b\u591a\u304f\u306e\u56f0\u96e3\u3092\u514b\u670d\u3067\u304d\u308b\u3067\u3057\u3087\u3046\u3002<\/p>\n<h3>\u95a2\u6570 <span class=\"katex-eq\" data-katex-display=\"false\">g(x) =\\displaystyle \\frac{x^2 - 1}{x^2 + 1}<\/span> \u306e\u5206\u6790<\/h3>\n<p style=\"text-align: justify;\"><a href=\"https:\/\/www.youtube.com\/watch?v=zhb8GKlcdA8&amp;t=1049s\" target=\"_blank\" rel=\"noopener\"><strong>\u95a2\u6570\u306e\u5b9a\u7fa9\u57df\u3092\u3059\u3070\u3084\u304f\u6c42\u3081\u308b<\/strong><\/a> \u4e00\u3064\u306e\u65b9\u6cd5\u306f\u3001<span class=\"katex-eq\" data-katex-display=\"false\">x<\/span> \u306e\u5024\u306e\u3046\u3061\u300c\u95a2\u6570\u3092\u58ca\u3059\u300d\u3082\u306e\u3092\u63a2\u3059\u3053\u3068\u3067\u3059\u3002\u5206\u6bcd\u304c 0 \u306b\u306a\u308b\u3068\u95a2\u6570\u304c\u58ca\u308c\u308b\u3053\u3068\u306f\u660e\u3089\u304b\u3067\u3059\u3002\u3059\u306a\u308f\u3061\uff1a<\/p>\n<p style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">\n\\begin{array}{rl}\n\n&amp; x^2 + 1 = 0 \\\\\n\n\\equiv &amp; x^2 = -1 \\\\\n\n\\end{array}<\/span>\n<p style=\"text-align: justify;\">\u3053\u306e\u6761\u4ef6\u3092\u6e80\u305f\u3059\u5b9f\u6570\u306f\u5b58\u5728\u3057\u306a\u3044\u305f\u3081\u3001\u6b21\u306e\u3053\u3068\u304c\u660e\u3089\u304b\u3067\u3059\uff1a<\/p>\n<p style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">\n\\color{blue}{Dom(g) = \\mathbb{R}}<\/span>\n<p style=\"text-align: justify;\">\u95a2\u6570\u306e\u5024\u57df\u3092\u6c42\u3081\u308b\u306b\u306f\u3001\u30b0\u30e9\u30d5\u3092\u63cf\u304f\u3053\u3068\u304c\u6700\u3082\u65e9\u3044\u65b9\u6cd5\u3067\u3042\u308b\u3053\u3068\u304c\u591a\u3044\u3067\u3059\u3002\u305d\u306e\u969b\u3001<a href=\"https:\/\/toposuranos.com\/algebra-de-polinomios-de-numeros-reales\/\" rel=\"noopener\" target=\"_blank\">\u591a\u9805\u5f0f\u306e\u9664\u6cd5<\/a>\u304c\u6709\u52b9\u306a\u624b\u6bb5\u3068\u306a\u308a\u307e\u3059\u3002<\/p>\n<p style=\"text-align: justify;\">\u591a\u9805\u5f0f\u306e\u9664\u6cd5\u3092\u5b9f\u884c\u3059\u308b\u3068\u3001\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\">y= \\displaystyle\\frac{x^2-1}{x^2+1} =<\/span> <span class=\"katex-eq\" data-katex-display=\"false\">1<\/span> <span class=\"katex-eq\" data-katex-display=\"false\">-\\displaystyle\\frac{2}{x^2 + 1}<\/span>\n<p style=\"text-align: justify;\">\u3053\u306e\u3088\u3046\u306b\u3057\u3066\u3001\u5143\u306e\u95a2\u6570\u3092\u6271\u3044\u3084\u3059\u3044 2 \u3064\u306e\u90e8\u5206\u3001\u3044\u308f\u3086\u308b\u300c\u6574\u6570\u90e8\u5206\u300d\u3068\u300c\u5206\u6570\u90e8\u5206\u300d\u306b\u5206\u89e3\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u305d\u308c\u305e\u308c\u306e\u90e8\u5206\u3092\u5225\u3005\u306b\u30b0\u30e9\u30d5\u5316\u3059\u308b\u65b9\u304c\u3001\u95a2\u6570\u5168\u4f53\u3092\u4e00\u5ea6\u306b\u63cf\u304f\u3088\u308a\u3082\u305a\u3063\u3068\u7c21\u5358\u3067\u3059\u3002<\/p>\n<h3>\u95a2\u6570 <span class=\"katex-eq\" data-katex-display=\"false\">h(x) =\\displaystyle \\frac{x - 1}{\\sqrt{x+1}}<\/span> \u306e\u5206\u6790<\/h3>\n<p style=\"text-align: justify;\"><a href=\"https:\/\/www.youtube.com\/watch?v=zhb8GKlcdA8&amp;t=1580s\" target=\"_blank\" rel=\"noopener\"><strong>\u4ee3\u6570\u7684\u306a\u5206\u6790<\/strong><\/a>\u306b\u3088\u3063\u3066\u3001\u3053\u306e\u95a2\u6570\u306e\u5b9a\u7fa9\u57df\u3092\u8fc5\u901f\u306b\u6c42\u3081\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u6b21\u306e\u6761\u4ef6\u304c\u6e80\u305f\u3055\u308c\u3066\u3044\u308c\u3070\u95a2\u6570\u306f\u5b9a\u7fa9\u3055\u308c\u307e\u3059\uff1a<\/p>\n<p style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">\n\\begin{array}{rrl}\n\n&amp; 0 &amp; \\lt x + 1 \\\\\n\n\\equiv &amp; -1 &amp; \\lt x \\\\\n\n\\end{array}\n\n<\/span>\n<p style=\"text-align: justify;\">\u3057\u305f\u304c\u3063\u3066\u3001<span class=\"katex-eq\" data-katex-display=\"false\">Dom(h)=]-1,+\\infty[.<\/span> \u3067\u3042\u308b\u3053\u3068\u304c\u660e\u3089\u304b\u3067\u3059\u3002<\/p>\n<p style=\"text-align: justify;\">\u5024\u57df\u3092\u6c42\u3081\u308b\u305f\u3081\u306b\u306f\u3001\u30b0\u30e9\u30d5\u3092\u63cf\u304f\u306e\u304c\u6709\u52b9\u3067\u3042\u308a\u3001\u305d\u306e\u305f\u3081\u306b <strong>\u7b26\u53f7\u8868<\/strong> \u3092\u7528\u3044\u308b\u3068\u7c21\u5358\u306b\u884c\u3048\u307e\u3059\u3002\u95a2\u6570 <span class=\"katex-eq\" data-katex-display=\"false\">h(x)<\/span> \u306f\u6b21\u306e 2 \u3064\u306e\u90e8\u5206\u304b\u3089\u69cb\u6210\u3055\u308c\u3066\u3044\u307e\u3059\uff1a<\/p>\n<p style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">h(x)=\\displaystyle\\frac{\\color{green}{x-1}}{\\color{red}{\\sqrt{x+1}}}<\/span>\n<p style=\"text-align: justify;\">\u5206\u5b50\u306f <span class=\"katex-eq\" data-katex-display=\"false\">x=1<\/span> \u3067 0 \u306b\u306a\u308a\u307e\u3059\u3002\u5206\u6bcd\u306f <span class=\"katex-eq\" data-katex-display=\"false\">x=-1<\/span> \u3067 0 \u306b\u306a\u308a\u3001\u305d\u308c\u3088\u308a\u5c0f\u3055\u3044\u5024\u3067\u306f\u672a\u5b9a\u7fa9\u3068\u306a\u308a\u307e\u3059\u3002\u3053\u306e\u60c5\u5831\u306b\u57fa\u3065\u304d\u3001\u6b21\u306e\u7b26\u53f7\u8868\u304c\u4f5c\u6210\u3055\u308c\u307e\u3059\uff1a<\/p>\n<table>\n<tbody>\n<tr>\n<th style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">x<\/span><\/th>\n<th style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">-\\infty<\/span><\/th>\n<th style=\"text-align: center;\"><\/th>\n<th style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">-1<\/span><\/th>\n<th style=\"text-align: center;\"><\/th>\n<th style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">+1<\/span><\/th>\n<th style=\"text-align: center;\"><\/th>\n<th style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">+\\infty<\/span><\/th>\n<\/tr>\n<tr>\n<th style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">x-1<\/span><\/th>\n<td style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">-\\infty <\/span><\/td>\n<td style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\"> - <\/span><\/td>\n<td style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">{} - <\/span><\/td>\n<td style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\"> - <\/span><\/td>\n<td style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\"> 0 <\/span><\/td>\n<td style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\"> + <\/span><\/td>\n<td style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">{} +\\infty <\/span><\/td>\n<\/tr>\n<tr>\n<th style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">\\sqrt{x+1}<\/span><\/th>\n<td style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\"> \u5b9a\u7fa9\u3055\u308c\u306a\u3044  <\/span><\/td>\n<td style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\"> \u5b9a\u7fa9\u3055\u308c\u306a\u3044 <\/span><\/td>\n<td style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\"> 0 <\/span><\/td>\n<td style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\"> + <\/span><\/td>\n<td style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">{} + <\/span><\/td>\n<td style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\"> + <\/span><\/td>\n<td style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">{} + <\/span><\/td>\n<\/tr>\n<tr>\n<th style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle\\frac{x-1}{\\sqrt{x+1}}<\/span><\/th>\n<td style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\"> \u5b9a\u7fa9\u3055\u308c\u306a\u3044 <\/span><\/td>\n<td style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">{}\u5b9a\u7fa9\u3055\u308c\u306a\u3044 <\/span><\/td>\n<td style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\"> -\\infty <\/span><\/td>\n<td style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">{} - <\/span><\/td>\n<td style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\"> 0 <\/span><\/td>\n<td style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\"> + <\/span><\/td>\n<td style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">{} +\\infty <\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p style=\"text-align: justify;\">\u3053\u306e\u8868\u306b\u793a\u3055\u308c\u305f\u60c5\u5831\u306b\u3088\u308a\u3001\u95a2\u6570\u306e\u30b0\u30e9\u30d5\u3092\u63cf\u304f\u306e\u306f\u975e\u5e38\u306b\u7c21\u5358\u306b\u306a\u308a\u307e\u3057\u305f\u3002<\/p>\n<p><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/1.bp.blogspot.com\/-mWc6Hza3Wl0\/YNWMYho7pPI\/AAAAAAAAFO4\/0D8zrIeKcc8HY7hlWuvJOWDnYE6Zw--cQCLcBGAsYHQ\/s0\/grafico%2B2.PNG\" alt=\"\u7b26\u53f7\u8868\u3092\u7528\u3044\u305f\u5b9a\u7fa9\u57df\u30fb\u5024\u57df\u30fb\u30b0\u30e9\u30d5\" class=\" aligncenter lazyload\" width=\"498\" height=\"310\" \/><noscript><img decoding=\"async\" src=\"https:\/\/1.bp.blogspot.com\/-mWc6Hza3Wl0\/YNWMYho7pPI\/AAAAAAAAFO4\/0D8zrIeKcc8HY7hlWuvJOWDnYE6Zw--cQCLcBGAsYHQ\/s0\/grafico%2B2.PNG\" alt=\"\u7b26\u53f7\u8868\u3092\u7528\u3044\u305f\u5b9a\u7fa9\u57df\u30fb\u5024\u57df\u30fb\u30b0\u30e9\u30d5\" class=\" aligncenter lazyload\" width=\"498\" height=\"310\" \/><\/noscript><\/p>\n<p style=\"text-align: justify;\">\u3053\u308c\u306b\u3088\u308a\u3001\u5b9a\u7fa9\u57df\u3068\u5024\u57df\u3092\u6c42\u3081\u308b\u306e\u306f\u3082\u306f\u3084\u81ea\u660e\u3067\u3059\uff1a<\/p>\n<p style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">Dom(h)=]-1,+\\infty[<\/span>\n<p style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">Rec(h)=\\mathbb{R}<\/span>\n<h3>\u63d0\u6848\u3055\u308c\u305f\u6f14\u7fd2<\/h3>\n<p style=\"text-align: justify;\">\u3053\u308c\u307e\u3067\u306b\u5b66\u3093\u3060\u30c4\u30fc\u30eb\u3092\u7528\u3044\u3066\u3001\u6b21\u306e\u95a2\u6570\u306e\u5b9a\u7fa9\u57df\u3001\u5024\u57df\u3001\u304a\u3088\u3073\u30b0\u30e9\u30d5\u3092\u6c42\u3081\u3066\u307f\u307e\u3057\u3087\u3046\u3002<\/p>\n<p style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">F(x) = \\displaystyle\\frac{4x^3 + 6x^2 -2x + 1}{x^2-4}<\/span>\n","protected":false},"excerpt":{"rendered":"<p>\u4ee3\u6570\u95a2\u6570\u306e\u5b9a\u7fa9\u57df\u30fb\u5024\u57df\u30fb\u30b0\u30e9\u30d5 \u6982\u8981\uff1a \u3053\u306e\u6388\u696d\u3067\u306f\u3001\u95a2\u6570\u306e\u5b9a\u7fa9\u57df\u30fb\u5024\u57df\u30fb\u30b0\u30e9\u30d5\u306e\u6982\u5ff5\u3092\u5c0e\u5165\u3057\u3001\u305d\u308c\u3089\u3092\u4ee3\u6570\u95a2\u6570\u306e\u5b9f\u7528\u7684\u306a\u4f8b\u306b\u9069\u7528\u3057\u307e\u3059\u3002\u3053\u308c\u3089\u306e\u8981\u7d20\u3092\u7279\u5b9a\u3059\u308b\u305f\u3081\u306e\u56f3\u7684\u304a\u3088\u3073\u89e3\u6790\u7684\u624b\u6cd5\u306b\u3064\u3044\u3066\u3082\u78ba\u8a8d\u3057\u307e\u3059\u3002 \u5b66\u7fd2\u76ee\u6a19\uff1a \u3053\u306e\u6388\u696d\u306e\u7d42\u4e86\u6642\u306b\u306f\u3001\u5b66\u751f\u306f\u6b21\u306e\u3053\u3068\u304c\u3067\u304d\u308b\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002 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