{"id":33988,"date":"2024-08-15T13:00:16","date_gmt":"2024-08-15T13:00:16","guid":{"rendered":"https:\/\/toposuranos.com\/material\/?p=33988"},"modified":"2025-08-01T06:40:22","modified_gmt":"2025-08-01T06:40:22","slug":"%e6%9c%89%e9%99%90%e6%a5%b5%e9%99%90%ef%bc%9a%e8%a7%a3%e6%b1%ba%e6%b8%88%e3%81%bf%e5%95%8f%e9%a1%8c%e9%9b%86","status":"publish","type":"post","link":"http:\/\/toposuranos.com\/material\/ja\/%e6%9c%89%e9%99%90%e6%a5%b5%e9%99%90%ef%bc%9a%e8%a7%a3%e6%b1%ba%e6%b8%88%e3%81%bf%e5%95%8f%e9%a1%8c%e9%9b%86\/","title":{"rendered":"\u6709\u9650\u6975\u9650\uff1a\u89e3\u6c7a\u6e08\u307f\u554f\u984c\u96c6"},"content":{"rendered":"<p><center><\/p>\n<h1>\u89e3\u6c7a\u6e08\u307f\u554f\u984c\uff1a\u6709\u9650\u6975\u9650<\/h1>\n<p><em><strong>\u8981\u7d04\uff1a<\/strong><br \/>\n\u3053\u306e\u8b1b\u7fa9\u3067\u306f\u3001\u6709\u9650\u6975\u9650\u306e\u8a08\u7b97\u306b\u95a2\u3059\u308b\u89e3\u6c7a\u6e08\u307f\u554f\u984c\u3092\u3001\u30d3\u30c7\u30aa\u30c1\u30e5\u30fc\u30c8\u30ea\u30a2\u30eb\u3068\u3068\u3082\u306b\u63d0\u4f9b\u3057\u307e\u3059\u3002\u5b66\u751f\u306f\u554f\u984c\u3092\u89e3\u304f\u904e\u7a0b\u3092\u5c0e\u304b\u308c\u3001\u63d0\u4f9b\u3055\u308c\u305f\u89e3\u7b54\u3068\u6bd4\u8f03\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u5408\u7406\u5316\u3084\u30b0\u30e9\u30d5\u306e\u4f7f\u7528\u3068\u3044\u3063\u305f\u91cd\u8981\u306a\u6280\u6cd5\u304c\u5f37\u8abf\u3055\u308c\u3066\u304a\u308a\u3001\u6b63\u89e3\u306b\u81f3\u308b\u8907\u6570\u306e\u30a2\u30d7\u30ed\u30fc\u30c1\u3092\u5968\u52b1\u3057\u307e\u3059\u3002<\/em><\/p>\n<p><strong>\u5b66\u7fd2\u76ee\u6a19<\/strong><br \/>\n\u3053\u306e\u8b1b\u7fa9\u306e\u7d42\u4e86\u6642\u306b\u3001\u5b66\u751f\u306f\u4ee5\u4e0b\u306e\u3053\u3068\u304c\u3067\u304d\u308b\u3088\u3046\u306b\u306a\u308a\u307e\u3059\uff1a<\/p>\n<ul style=\"text-align:left;\">\n<li><strong>\u8a08\u7b97\u3059\u308b<\/strong> \u591a\u9805\u5f0f\u95a2\u6570\u304a\u3088\u3073\u6709\u7406\u95a2\u6570\u306e\u6709\u9650\u6975\u9650\u3002<\/li>\n<li><strong>\u5229\u7528\u3059\u308b<\/strong> \u6975\u9650\u306e\u8a08\u7b97\u3092\u7c21\u7565\u5316\u3059\u308b\u305f\u3081\u306e\u5408\u7406\u5316\u6280\u6cd5\u3002<\/li>\n<li><strong>\u6bd4\u8f03\u3059\u308b<\/strong> \u69d8\u3005\u306a\u89e3\u6cd5\u3092\u6bd4\u8f03\u3057\u3001\u6b63\u3057\u3044\u89e3\u306b\u81f3\u308b\u8907\u6570\u306e\u9053\u7b4b\u304c\u5b58\u5728\u3059\u308b\u3053\u3068\u3092\u8a8d\u8b58\u3059\u308b\u3002<\/li>\n<\/ul>\n<p><iframe class=\"lazyload\" width=\"560\" height=\"315\" data-src=\"https:\/\/www.youtube.com\/embed\/VY1gr1EUq3o\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture\" allowfullscreen=\"allowfullscreen\"><\/iframe><br \/>\n<\/center><\/p>\n<p style=\"text-align: justify;\">\u3053\u308c\u3089\u306e\u89e3\u6c7a\u6e08\u307f\u6f14\u7fd2\u306f\u3001\u6709\u9650\u6975\u9650\u306e\u8a08\u7b97\u3092\u7fd2\u5f97\u3059\u308b\u305f\u3081\u306e\u52a9\u3051\u3068\u306a\u308b\u3067\u3057\u3087\u3046\u3002\u89e3\u7b54\u306f\u30d3\u30c7\u30aa\u5185\u306b\u3042\u308a\u307e\u3059\u3002<\/p>\n<p style=\"text-align: justify;\">\u5b66\u7fd2\u4f53\u9a13\u3092\u5411\u4e0a\u3055\u305b\u308b\u305f\u3081\u306b\u3001\u6709\u9650\u6975\u9650\u306e\u8a08\u7b97\u306b\u95a2\u3059\u308b\u89e3\u6c7a\u6e08\u307f\u6f14\u7fd2\u3092\u542b\u3080\u30d3\u30c7\u30aa\u3092\u4f5c\u6210\u3057\u307e\u3057\u305f\u3002\u305d\u308c\u305e\u308c\u306e\u554f\u984c\u306b\u95a2\u9023\u3059\u308b\u7279\u5fb4\u3092\u3059\u3079\u3066\u793a\u3057\u3066\u3044\u307e\u3059\u3002<\/p>\n<p style=\"text-align: justify;\">\u307e\u305a\u306f\u81ea\u5206\u3067\u3053\u308c\u3089\u306e\u554f\u984c\u3092\u89e3\u3044\u3066\u307f\u3066\u3001\u305d\u306e\u5f8c\u3067\u7d50\u679c\u3092\u6bd4\u8f03\u3057\u3066\u307f\u3066\u304f\u3060\u3055\u3044\u3002<br \/>\n\u5404\u6f14\u7fd2\u306e\u96a3\u306b\u306f\u3001YouTube\u30d3\u30c7\u30aa\u5185\u306e\u8a72\u5f53\u7b87\u6240\u306b\u30ea\u30f3\u30af\u3059\u308bURL\u304c\u6dfb\u3048\u3089\u308c\u3066\u3044\u307e\u3059\u3002\u305d\u3053\u3067\u306f\u3059\u3079\u3066\u306e\u8a08\u7b97\u904e\u7a0b\u3068\u89e3\u7b54\u3092\u898b\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n<p style=\"text-align: justify;\">\u5834\u5408\u306b\u3088\u3063\u3066\u306f\u5408\u7406\u5316\u3092\u884c\u3046\u5fc5\u8981\u304c\u3042\u308a\u3001\u307e\u305f\u5834\u5408\u306b\u3088\u3063\u3066\u306f\u6975\u9650\u306e\u5b9a\u7fa9\u3092\u7528\u3044\u3066\u89e3\u7b54\u3092\u6b63\u5f53\u5316\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002\u6642\u306b\u306f\u3001\u30b0\u30e9\u30d5\u3092\u5229\u7528\u3059\u308b\u3053\u3068\u3067\u3001\u3069\u306e\u63a8\u8ad6\u306e\u9053\u3092\u9032\u3081\u3070\u3088\u3044\u304b\u3092\u5224\u65ad\u3059\u308b\u4e0a\u3067\u591a\u304f\u306e\u52b4\u529b\u3092\u7701\u304f\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n<h3>I. \u6b21\u306e\u6709\u9650\u6975\u9650\u3092\u8a08\u7b97\u3057\u306a\u3055\u3044\uff1a<\/h3>\n<ol style=\"text-align: justify;\">\n<li><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\lim_{x\\to -1} (x^3+2x^2 - 3x - 4) <\/span><\/span> <a href=\"https:\/\/www.youtube.com\/watch?v=VY1gr1EUq3o&amp;t=35s\" rel=\"noopener\" target=\"_blank\"><strong><span style=\"color: #d00000;\">\uff3b\u89e3\u7b54\uff3d<\/span><\/strong><\/a><\/li>\n<li><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\lim_{x\\to 0} \\dfrac{3^x - 3^{-x}}{3^x + 3^{-x}} <\/span><\/span> <a href=\"https:\/\/www.youtube.com\/watch?v=VY1gr1EUq3o&amp;t=64s\" rel=\"noopener\" target=\"_blank\"><strong><span style=\"color: #d00000;\">\uff3b\u89e3\u7b54\uff3d<\/span><\/strong><\/a><\/li>\n<li><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\lim_{x\\to 2} \\dfrac{x-1}{x^2-1} <\/span><\/span> <a href=\"https:\/\/www.youtube.com\/watch?v=VY1gr1EUq3o&amp;t=91s\" rel=\"noopener\" target=\"_blank\"><strong><span style=\"color: #d00000;\">\uff3b\u89e3\u7b54\uff3d<\/span><\/strong><\/a><\/li>\n<li><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\lim_{x\\to 2} \\dfrac{x^2-4}{x^2-5x+6} <\/span><\/span> <a href=\"https:\/\/www.youtube.com\/watch?v=VY1gr1EUq3o&amp;t=161s\" rel=\"noopener\" target=\"_blank\"><strong><span style=\"color: #d00000;\">\uff3b\u89e3\u7b54\uff3d<\/span><\/strong><\/a><\/li>\n<li><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\lim_{x\\to -1} \\dfrac{x^2+3x+2}{x^2+4x+3} <\/span><\/span> <a href=\"https:\/\/www.youtube.com\/watch?v=VY1gr1EUq3o&amp;t=351s\" rel=\"noopener\" target=\"_blank\"><strong><span style=\"color: #d00000;\">\uff3b\u89e3\u7b54\uff3d<\/span><\/strong><\/a><\/li>\n<li><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\lim_{x\\to 2} \\dfrac{x-2}{\\sqrt{x^2-4}} <\/span><\/span> <a href=\"https:\/\/www.youtube.com\/watch?v=VY1gr1EUq3o&amp;t=594s\" rel=\"noopener\" target=\"_blank\"><strong><span style=\"color: #d00000;\">\uff3b\u89e3\u7b54\uff3d<\/span><\/strong><\/a><\/li>\n<li><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\lim_{x\\to 2} \\dfrac{\\sqrt{x-2}}{x^2-4} <\/span><\/span> <a href=\"https:\/\/www.youtube.com\/watch?v=VY1gr1EUq3o&amp;t=887s\" rel=\"noopener\" target=\"_blank\"><strong><span style=\"color: #d00000;\">\uff3b\u89e3\u7b54\uff3d<\/span><\/strong><\/a><\/li>\n<\/ol>\n<h3>II. \u6b21\u306e\u95a2\u6570\u306b\u5bfe\u3057\u3066\u3001<span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle\\lim_{h\\to 0} \\frac{f(x+h)-f(x)}{h}<\/span><\/span> \u3092\u6c42\u3081\u306a\u3055\u3044\uff1a<\/h3>\n<ol style=\"text-align: justify;\">\n<li><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle f(x) = \\dfrac{1}{x-2} <\/span><\/span> <a href=\"https:\/\/www.youtube.com\/watch?v=VY1gr1EUq3o&amp;t=1088s\" rel=\"noopener\" target=\"_blank\"><strong><span style=\"color: #d00000;\">\uff3b\u89e3\u7b54\uff3d<\/span><\/strong><\/a><\/li>\n<li><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle f(x) = \\sqrt{x-4} <\/span><\/span> <a href=\"https:\/\/www.youtube.com\/watch?v=VY1gr1EUq3o&amp;t=1263s\" rel=\"noopener\" target=\"_blank\"><strong><span style=\"color: #d00000;\">\uff3b\u89e3\u7b54\uff3d<\/span><\/strong><\/a><\/li>\n<li><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle f(x) = \\dfrac{x}{x+1} <\/span><\/span> <a href=\"https:\/\/www.youtube.com\/watch?v=VY1gr1EUq3o&amp;t=1366s\" rel=\"noopener\" target=\"_blank\"><strong><span style=\"color: #d00000;\">\uff3b\u89e3\u7b54\uff3d<\/span><\/strong><\/a><\/li>\n<\/ol>\n<p style=\"text-align: justify;\">\u3059\u3079\u3066\u81ea\u529b\u3067\u89e3\u304f\u3053\u3068\u304c\u3067\u304d\u307e\u3057\u305f\u304b\uff1f<\/p>\n<p style=\"text-align: justify;\">\u3042\u306a\u305f\u306e\u89e3\u6cd5\u306f\u79c1\u306e\u3082\u306e\u3068\u3069\u308c\u307b\u3069\u9055\u3063\u3066\u3044\u307e\u3057\u305f\u304b\uff1f<\/p>\n<p style=\"text-align: justify;\">\u554f\u984c\u3092\u89e3\u304f\u305f\u3081\u306e\u9053\u7b4b\u306f\u3001\u5fc5\u305a\u3057\u3082\u4e00\u3064\u306b\u9650\u3089\u308c\u308b\u3082\u306e\u3067\u306f\u306a\u3044\u3068\u3044\u3046\u3053\u3068\u3092\u5fd8\u308c\u306a\u3044\u3067\u304f\u3060\u3055\u3044\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u89e3\u6c7a\u6e08\u307f\u554f\u984c\uff1a\u6709\u9650\u6975\u9650 \u8981\u7d04\uff1a 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