{"id":12721,"date":"2023-02-16T02:32:32","date_gmt":"2023-02-15T17:32:32","guid":{"rendered":"https:\/\/hatsudy.com\/jp\/?p=12721"},"modified":"2023-02-23T09:25:29","modified_gmt":"2023-02-23T00:25:29","slug":"continuous-functions","status":"publish","type":"post","link":"https:\/\/hatsudy.com\/jp\/continuous-functions.html","title":{"rendered":"\u95a2\u6570\u306e\u9023\u7d9a\u6027\uff1a\u6975\u9650\u3092\u7528\u3044\u308b\u9023\u7d9a\u306e\u5224\u65ad\u3068\u4e2d\u9593\u5024\u306e\u5b9a\u7406"},"content":{"rendered":"\n<p>\u6975\u9650\u3092\u5b66\u3076\u3053\u3068\u306b\u3088\u308a\u3001\u95a2\u6570\u306e\u9023\u7d9a\u6027\u304c\u308f\u304b\u308a\u307e\u3059\u3002\u95a2\u6570\u306e\u9023\u7d9a\u6027\u3067\u306f\u3001\u7dda\u304c\u9014\u4e2d\u3067\u9014\u5207\u308c\u3066\u3044\u308b\u304b\u3069\u3046\u304b\u3092\u78ba\u8a8d\u3059\u308c\u3070\u3044\u3044\u3067\u3059\u3002<\/p>\n<p>\u305f\u3060\u3001\u9014\u5207\u308c\u3066\u3044\u308b\u304b\u3069\u3046\u304b\u3067\u306f\u8aac\u660e\u3068\u3057\u3066\u4e0d\u5341\u5206\u3067\u3059\u3002\u7bc4\u56f2\u3092\u533a\u5207\u308c\u3070\u3001\u95a2\u6570\u304c\u9023\u7d9a\u3057\u3066\u3044\u308b\u30b1\u30fc\u30b9\u306f\u591a\u3044\u3067\u3059\u3002\u305d\u3053\u3067\u3001\u6975\u9650\u3092\u7528\u3044\u308b\u3053\u3068\u3067\u95a2\u6570\u306e\u9023\u7d9a\u6027\u3092\u5b9a\u7fa9\u3059\u308b\u306e\u3067\u3059\u3002<\/p>\n<p>\u306a\u304a\u3001\u9023\u7d9a\u95a2\u6570\u306b\u306f\u6027\u8cea\u304c\u3042\u308a\u307e\u3059\u3002\u305d\u306e\u4e00\u3064\u306e\u6027\u8cea\u304c\u4e2d\u9593\u5024\u306e\u5b9a\u7406\u3067\u3059\u3002\u5185\u5bb9\u3092\u899a\u3048\u308b\u5fc5\u8981\u306f\u306a\u304f\u3001\u5f53\u305f\u308a\u524d\u306e\u3053\u3068\u3092\u8ff0\u3079\u3066\u3044\u308b\u306b\u3059\u304e\u307e\u305b\u3093\u304c\u3001\u3069\u306e\u3088\u3046\u306a\u5b9a\u7406\u306a\u306e\u304b\u4e8b\u524d\u306b\u7406\u89e3\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n<p>\u305d\u308c\u3067\u306f\u3001\u6975\u9650\u3092\u7528\u3044\u3066\u3069\u306e\u3088\u3046\u306b\u95a2\u6570\u306e\u9023\u7d9a\u6027\u3092\u78ba\u8a8d\u3059\u308c\u3070\u3044\u3044\u306e\u3067\u3057\u3087\u3046\u304b\u3002\u95a2\u6570\u306e\u9023\u7d9a\u6027\u306b\u3064\u3044\u3066\u89e3\u8aac\u3057\u3066\u3044\u304d\u307e\u3059\u3002<\/p>\n<h2>\u9023\u7d9a\u306a\u95a2\u6570\u306f\u9014\u4e2d\u3067\u9014\u5207\u308c\u3066\u3044\u306a\u3044<\/h2>\n<p>\u79c1\u305f\u3061\u304c\u6975\u9650\u3092\u5b66\u3076\u7406\u7531\u3068\u3057\u3066\u3001\u5fae\u5206\u3092\u5b66\u3076\u5fc5\u8981\u304c\u3042\u308b\u304b\u3089\u3067\u3059\u3002\u5fae\u5206\u306f\u6975\u9650\u3092\u5229\u7528\u3057\u3066\u5b9a\u7fa9\u3055\u308c\u307e\u3059\u3002<\/p>\n<p>\u307e\u305f\u3001\u5fae\u5206\u306f\u50be\u304d\u3092\u5f97\u308b\u305f\u3081\u306b\u5229\u7528\u3055\u308c\u307e\u3059\u3002\u95a2\u6570\u304c\u9014\u5207\u308c\u3066\u3044\u308b\u5834\u5408\u3001\u9014\u5207\u308c\u3066\u3044\u308b\u70b9\u306b\u304a\u3044\u3066\u3001\u50be\u304d\u306f\u5b58\u5728\u3057\u307e\u305b\u3093\u3002\u4e00\u65b9\u3067\u7dda\u304c\u9023\u7d9a\u3057\u3066\u3064\u306a\u304c\u3063\u3066\u3044\u308b\u5834\u5408\u3001\u50be\u304d\u304c\u5b58\u5728\u3059\u308b\u3053\u3068\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<p>\u3053\u306e\u3068\u304d\u3001\u4e00\u6b21\u95a2\u6570\u3084\u4e8c\u6b21\u95a2\u6570\u306f\u9023\u7d9a\u306a\u95a2\u6570\u3067\u3059\u3002<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/hatsudy.com\/jp\/wp-content\/uploads\/2023\/02\/fkfh1.jpg\" alt=\"\" width=\"600\" height=\"241\" class=\"aligncenter size-full wp-image-12726\" \/><\/p>\n<p>\u3044\u305a\u308c\u306b\u3057\u3066\u3082\u3001\u9014\u4e2d\u3067\u9014\u5207\u308c\u3066\u3044\u306a\u3044\u95a2\u6570\u306f\u9023\u7d9a\u306a\u95a2\u6570\u3068\u3044\u3048\u307e\u3059\u3002<\/p>\n<h3>\u6975\u9650\u3092\u7528\u3044\u3066\u95a2\u6570\u306e\u9023\u7d9a\u6027\u3092\u5b9a\u7fa9\u3059\u308b<\/h3>\n<p>\u4e00\u65b9\u3001<span style=\"color: #0000ff;\">\u53cd\u6bd4\u4f8b\u306e\u30b0\u30e9\u30d5\u306f\u591a\u304f\u306e\u90e8\u5206\u3067\u9023\u7d9a\u3057\u3066\u3044\u308b\u3082\u306e\u306e\u3001\u9023\u7d9a\u3057\u3066\u3044\u306a\u3044\u90e8\u5206\u3082\u3042\u308a\u307e\u3059\u3002<\/span>\u4f8b\u3048\u3070\\(y=\\displaystyle\\frac{1}{x}\\)\u3067\u306f\u3001\\(x=0\\)\u306e\u90e8\u5206\u3067\u9014\u5207\u308c\u3066\u3044\u307e\u3059\u3002<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/hatsudy.com\/jp\/wp-content\/uploads\/2023\/02\/fkfh2-1.jpg\" alt=\"\" width=\"327\" height=\"298\" class=\"aligncenter size-full wp-image-12728\" \/><\/p>\n<p>\u3053\u306e\u5834\u5408\u3001\\(y=\\displaystyle\\frac{1}{x}\\)\u306f\\(x=0\\)\u306e\u90e8\u5206\u3067\u4e0d\u9023\u7d9a\u3067\u3059\u3002\u305f\u3060\u305d\u306e\u4ed6\u306e\u90e8\u5206\u3067\u306f\u9023\u7d9a\u306b\u306a\u3063\u3066\u3044\u308b\u305f\u3081\u3001\u53cd\u6bd4\u4f8b\u306e\u30b0\u30e9\u30d5\u306f\u7279\u5b9a\u306e\u533a\u9593\u3067\u9023\u7d9a\u3067\u3059\u3002<\/p>\n<p>\u305d\u308c\u3067\u306f\u3001\u6975\u9650\u3092\u7528\u3044\u3066\u3069\u306e\u3088\u3046\u306b\u9023\u7d9a\u3068\u4e0d\u9023\u7d9a\u3092\u898b\u5206\u3051\u308c\u3070\u3044\u3044\u306e\u3067\u3057\u3087\u3046\u304b\u3002\u4ee5\u4e0b\u306e\u6761\u4ef6\u306b\u3064\u3044\u3066\u3001\u3044\u305a\u308c\u304b\u4e00\u65b9\u3092\u6e80\u305f\u3057\u3066\u3044\u308b\u5834\u5408\u3001\\(x=a\\)\u306e\u3068\u304d\u306b\u4e0d\u9023\u7d9a\u3068\u306a\u308a\u307e\u3059\u3002<\/p>\n<ul>\n<li>\\(\\displaystyle \\lim_{ x \\to a } f(x)\\)\u306b\u6975\u9650\u304c\u306a\u3044<\/li>\n<li>\\(\\displaystyle \\lim_{ x \\to a } f(x)=f(a)\\)\u3067\u306f\u306a\u3044<\/li>\n<\/ul>\n<p>\u4f8b\u3048\u3070\\(\\displaystyle \\lim_{ x \\to 1+0 } \\displaystyle\\frac{1}{x-1}=\u221e\\)\u3067\u3042\u308a\u3001\\(\\displaystyle \\lim_{ x \\to 1-0 } \\displaystyle\\frac{1}{x-1}=-\u221e\\)\u3067\u3059\u3002\u3053\u306e\u3088\u3046\u306b\\(\\displaystyle \\lim_{ x \\to a+0 } f(x)\u2260\\displaystyle \\lim_{ x \\to a-0 } f(x)\\)\u306e\u3068\u304d\u3001\\(x=a\\)\u3067\u6975\u9650\u304c\u5b58\u5728\u3057\u306a\u3044\u3068\u8003\u3048\u307e\u3059\u3002<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/hatsudy.com\/jp\/wp-content\/uploads\/2023\/02\/gww2.jpg\" alt=\"\" width=\"327\" height=\"298\" class=\"aligncenter size-full wp-image-12732\" \/><\/p>\n<p>\u307e\u305f\\(\\displaystyle \\lim_{ x \\to a } f(x)\\)\u306b\u3064\u3044\u3066\u6975\u9650\u304c\u5b58\u5728\u3057\u3066\u3082\u3001\\(\\displaystyle \\lim_{ x \\to a } f(x)=f(a)\\)\u3067\u306a\u3044\u5834\u5408\u306f\u4e0d\u9023\u7d9a\u3067\u3059\u3002\u4ee5\u4e0b\u306e\u30b0\u30e9\u30d5\u306f\u300c\u6975\u9650\u304c\u5b58\u5728\u3059\u308b\u3082\u306e\u306e\u3001\\(\\displaystyle \\lim_{ x \\to a } f(x)=f(a)\\)\u3067\u306f\u306a\u3044\u30b1\u30fc\u30b9\u300d\u306b\u8a72\u5f53\u3057\u307e\u3059\u3002<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/hatsudy.com\/jp\/wp-content\/uploads\/2023\/02\/gww1.jpg\" alt=\"\" width=\"357\" height=\"297\" class=\"aligncenter size-full wp-image-12731\" \/><\/p>\n<p>\u3044\u305a\u308c\u306b\u3057\u3066\u3082\u3001\u6975\u9650\u3092\u7528\u3044\u308b\u3053\u3068\u3067\u95a2\u6570\u304c\u9023\u7d9a\u304b\u3069\u3046\u304b\u3092\u78ba\u8a8d\u3067\u304d\u307e\u3059\u3002<\/p>\n<h3>\u30ac\u30a6\u30b9\u8a18\u53f7\u3092\u7528\u3044\u308b\u56f3\u5f62\u3068\u95a2\u6570\u306e\u9023\u7d9a\u6027<\/h3>\n<p>\u95a2\u6570\u306e\u9023\u7d9a\u6027\u3092\u5b66\u3076\u3068\u304d\u3001\u30ac\u30a6\u30b9\u8a18\u53f7\u3092\u7528\u3044\u308b\u95a2\u6570\u3092\u7fd2\u3046\u3053\u3068\u304c\u3042\u308a\u307e\u3059\u3002\u30ac\u30a6\u30b9\u8a18\u53f7\u3092\u7528\u3044\u308b\u95a2\u6570\u306f\u91cd\u8981\u3067\u306f\u306a\u3044\u3082\u306e\u306e\u3001\u95a2\u6570\u306e\u9023\u7d9a\u6027\u3092\u5b66\u3076\u3068\u304d\u306b\u6709\u7528\u306a\u306e\u3067\u3059\u3002\u4f8b\u3068\u3057\u3066\u3001\\(f(x)=[x]\\)\u306e\u30b0\u30e9\u30d5\u3092\u63cf\u304d\u307e\u3057\u3087\u3046\u3002<\/p>\n<p><span style=\"color: #0000ff;\">\\(f(x)=[x]\\)\u3067\u306f\u3001\\(n\u2266x&lt;n+1\\)\u3068\u306a\u308b\u3068\u304d\u3001\\([x]=n\\)\u3068\u5b9a\u7fa9\u3057\u307e\u3059\u3002<\/span>\u4f8b\u3048\u30701.23\u306f\\(1\u22661.23&lt;2\\)\u3067\u3042\u308b\u305f\u3081\u3001\\([1.23]=1\\)\u3067\u3059\u3002\u540c\u69d8\u306b\u8003\u3048\u308b\u3068\u3001\\([0.1]=0\\)\u3068\u306a\u308a\u3001\\([-2.3]=-3\\)\u3068\u306a\u308a\u307e\u3059\u3002\u305d\u306e\u305f\u3081\u3001\u4ee5\u4e0b\u306e\u30b0\u30e9\u30d5\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/hatsudy.com\/jp\/wp-content\/uploads\/2023\/02\/gww3.jpg\" alt=\"\" width=\"351\" height=\"298\" class=\"aligncenter size-full wp-image-12733\" \/><\/p>\n<p>\\(f(x)=[x]\\)\u306b\u3064\u3044\u3066\u3001\u4f8b\u3048\u3070\\(x=2\\)\u306e\u3068\u304d\u3001\u95a2\u6570\u306f\u4e0d\u9023\u7d9a\u3067\u3059\u3002\u3053\u308c\u306f\u3001\\(\\displaystyle \\lim_{ x \\to 2+0 } f(x)\u2260\\displaystyle \\lim_{ x \\to 2-0 } f(x)\\)\u3067\u3042\u308b\u305f\u3081\u3001\u6975\u9650\u304c\u5b58\u5728\u3057\u306a\u3044\u304b\u3089\u3067\u3059\u3002<\/p>\n<h3>\u95a2\u6570\u306e\u9023\u7d9a\u6027\u3092\u8abf\u3079\u308b<\/h3>\n<p>\u305d\u308c\u3067\u306f\u3001\u7df4\u7fd2\u554f\u984c\u3092\u89e3\u304f\u3053\u3068\u306b\u3088\u3063\u3066\u95a2\u6570\u306e\u9023\u7d9a\u6027\u3092\u78ba\u8a8d\u3057\u307e\u3057\u3087\u3046\u3002\u4ee5\u4e0b\u306e\u95a2\u6570\u306b\u3064\u3044\u3066\u3001\\(x=-1\\)\u3067\u306e\u9023\u7d9a\u6027\u3092\u8abf\u3079\u307e\u3057\u3087\u3046\u3002<\/p>\n<ul>\n<li>\\(f(x)=\\displaystyle\\frac{x(x+1)}{x^2-1}\\)\\((x\u2260-1)\\)<\/li>\n<li>\\(f(-1)=\\displaystyle\\frac{1}{2}\\)<\/li>\n<\/ul>\n<p>\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u8a08\u7b97\u3057\u307e\u3059\u3002<\/p>\n<p>\\(\\displaystyle \\lim_{ x \\to -1 } \\displaystyle\\frac{x(x+1)}{x^2-1}\\)<\/p>\n<p>\\(=\\displaystyle \\lim_{ x \\to -1 } \\displaystyle\\frac{x(x+1)}{(x+1)(x-1)}\\)<\/p>\n<p>\\(=\\displaystyle \\lim_{ x \\to -1 } \\displaystyle\\frac{x}{x-1}\\)<\/p>\n<p>\\(=\\displaystyle\\frac{1}{2}\\)<\/p>\n<p>\\(\\displaystyle \\lim_{ x \\to -1 } \\displaystyle\\frac{x(x+1)}{x^2-1}\\)\u306f\u6975\u9650\u304c\u3042\u308a\u3001\u305d\u308c\u306b\u52a0\u3048\u3066\\(\\displaystyle \\lim_{ x \\to -1 } \\displaystyle\\frac{x(x+1)}{x^2-1}=f(-1)\\)\u3067\u3059\u3002\u305d\u306e\u305f\u3081\u3001\\(f(x)\\)\u306f\\(x=-1\\)\u3067\u9023\u7d9a\u3067\u3059\u3002<\/p>\n<h2>\u9589\u533a\u9593\u3067\u9023\u7d9a\u306a\u5834\u5408\u3001\u6700\u5927\u5024\u3068\u6700\u5c0f\u5024\u3092\u3082\u3064<\/h2>\n<p>\u95a2\u6570\u304c\u9014\u4e2d\u3067\u9014\u5207\u308c\u3066\u3044\u305f\u3068\u3057\u3066\u3082\u3001\u7279\u5b9a\u306e\u533a\u9593\u3067\u306f\u9023\u7d9a\u3067\u3042\u308b\u30b1\u30fc\u30b9\u306f\u591a\u3044\u3067\u3059\u3002\u3053\u306e\u3068\u304d\u3001\\(x\\)\u306e\u7bc4\u56f2\u3092\\(a\u2266x\u2266b\\)\u3068\u3059\u308b\u5834\u5408\u3001\u3053\u306e\u7279\u5b9a\u306e\u533a\u9593\u3092\u9589\u533a\u9593\u3068\u3044\u3044\u307e\u3059\u3002<\/p>\n<p><span style=\"color: #0000ff;\">\u9589\u533a\u9593\u3067\u95a2\u6570\u304c\u9023\u7d9a\u3067\u3042\u308b\u5834\u5408\u3001\u95a2\u6570\u306e\u4e21\u7aef\u3092\u542b\u3080\u3059\u3079\u3066\u306e\u5024\u3067\\(y\\)\u306e\u5024\u304c\u5b58\u5728\u3059\u308b\u305f\u3081\u3001\u5fc5\u305a\u6700\u5c0f\u5024\u3068\u6700\u5927\u5024\u304c\u3042\u308a\u307e\u3059\u3002<\/span>\u3053\u308c\u306b\u3064\u3044\u3066\u306f\u3001\u7279\u306b\u8aac\u660e\u3057\u306a\u304f\u3066\u3082\u7406\u89e3\u3067\u304d\u308b\u3068\u601d\u3044\u307e\u3059\u3002\u305f\u3060\u9589\u533a\u9593\u3067\u3042\u3063\u3066\u3082\u3001\u95a2\u6570\u304c\u9023\u7d9a\u3067\u306a\u3044\u5834\u5408\u3001\u6700\u5c0f\u5024\u307e\u305f\u306f\u6700\u5927\u5024\u3092\u5f97\u3089\u308c\u306a\u3044\u30b1\u30fc\u30b9\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/hatsudy.com\/jp\/wp-content\/uploads\/2023\/02\/gww10.jpg\" alt=\"\" width=\"600\" height=\"242\" class=\"aligncenter size-full wp-image-12740\" \/><\/p>\n<p>\u95a2\u6570\u306e\u8a08\u7b97\u3092\u3059\u308b\u3068\u304d\u3001\u6700\u5c0f\u5024\u3084\u6700\u5927\u5024\u3092\u554f\u3046\u554f\u984c\u306f\u591a\u3044\u3067\u3059\u3002\u3053\u306e\u3068\u304d\u3001\u95a2\u6570\u304c\u9023\u7d9a\u3067\u3042\u308b\u3053\u3068\u306f\u975e\u5e38\u306b\u91cd\u8981\u306a\u306e\u3067\u3059\u3002<\/p>\n<h3>\u4e2d\u9593\u5024\u306e\u5b9a\u7406\uff1a\u9589\u533a\u9593\u3067\u9023\u7d9a\u306a\u95a2\u6570\u306f\u89e3\u3092\u3082\u3064<\/h3>\n<p>\u9589\u533a\u9593\u3067\u9023\u7d9a\u306a\u95a2\u6570\u306b\u3064\u3044\u3066\u3001\u307b\u304b\u306e\u6027\u8cea\u3092\u5b66\u3073\u307e\u3057\u3087\u3046\u3002\u95a2\u6570\\(f(x)\\)\u304c\\(a\u2266x\u2266b\\)\\((a\u2260b)\\)\u3067\u9023\u7d9a\u306e\u5834\u5408\u3001\\(f(a)&lt;k&lt;f(b)\\)\u3068\u306a\u308b\u4efb\u610f\u306e\u5024\\(k\\)\u306b\u3064\u3044\u3066\u3001\\(f(c)=k\\)\u3092\u6e80\u305f\u3059\\(c\\)\u304c\u5fc5\u305a\\(a\\)\u3068\\(b\\)\u306e\u9593\u306b\u3042\u308a\u307e\u3059\u3002<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/hatsudy.com\/jp\/wp-content\/uploads\/2023\/02\/gww5.jpg\" alt=\"\" width=\"479\" height=\"301\" class=\"aligncenter size-full wp-image-12735\" \/><\/p>\n<p>\u3053\u308c\u3092<span style=\"color: #ff0000;\">\u4e2d\u9593\u5024\u306e\u5b9a\u7406<\/span>\u3068\u3044\u3044\u307e\u3059\u3002\u4e2d\u9593\u5024\u306e\u5b9a\u7406\u306b\u3064\u3044\u3066\u3082\u3001\u8aac\u660e\u3057\u306a\u304f\u3066\u3082\u7406\u89e3\u3067\u304d\u308b\u3068\u601d\u3044\u307e\u3059\u3002\u30b0\u30e9\u30d5\u306e\u5f62\u306f\u308f\u304b\u3089\u306a\u3044\u3057\u3001\u3044\u304f\u3064\u306e\u89e3\u3092\u3082\u3064\u306e\u304b\u3082\u4e0d\u660e\u3067\u3042\u308b\u3082\u306e\u306e\u3001\u5c11\u306a\u304f\u3068\u3082\u4e00\u3064\u306f\u89e3\u3092\u3082\u3064\u306e\u3067\u3059\u3002<\/p>\n<p>\u4e00\u65b9\u3001\u7279\u5b9a\u306e\u70b9\u3067\u95a2\u6570\u304c\u4e0d\u9023\u7d9a\u306e\u5834\u5408\u3001\u5fc5\u305a\\(f(c)=k\\)\u3092\u6e80\u305f\u3059\\(c\\)\u304c\u5b58\u5728\u3059\u308b\u3068\u306f\u9650\u308a\u307e\u305b\u3093\u3002\u4ee5\u4e0b\u306e\u30b1\u30fc\u30b9\u304c\u5b58\u5728\u3059\u308b\u304b\u3089\u3067\u3059\u3002<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/hatsudy.com\/jp\/wp-content\/uploads\/2023\/02\/gww9.jpg\" alt=\"\" width=\"477\" height=\"301\" class=\"aligncenter size-full wp-image-12739\" \/><\/p>\n<p>\u305d\u308c\u3067\u306f\u4e2d\u9593\u5024\u306e\u5b9a\u7406\u3092\u5229\u7528\u3059\u308b\u3053\u3068\u306b\u3088\u308a\u3001\u554f\u984c\u3092\u89e3\u3044\u3066\u307f\u307e\u3057\u3087\u3046\u3002<\/p>\n<ul>\n<li>\\(4^x=3x+2\\)\u306b\u3064\u3044\u3066\u3001\\(1&lt;x&lt;2\\)\u306e\u9593\u306b\u5c11\u306a\u304f\u3068\u3082\u4e00\u3064\u306e\u5b9f\u6570\u89e3\u3092\u3082\u3064\u3053\u3068\u3092\u793a\u3057\u307e\u3057\u3087\u3046\u3002<\/li>\n<\/ul>\n<p>\\(f(x)=4^x-3x-2\\)\u3068\u3057\u307e\u3057\u3087\u3046\u3002\\(4^x-3x-2=0\\)\u3092\u6e80\u305f\u3059\\(x\\)\u304c\u5b58\u5728\u3059\u308b\u5834\u5408\u3001\u89e3\u3092\u3082\u3064\u3053\u3068\u306b\u306a\u308a\u307e\u3059\u3002\u307e\u305f\\(f(1)&lt;0,f(2)&gt;0\\)\u307e\u305f\u306f\\(f(1)&gt;0,f(2)&lt;0\\)\u306e\u5834\u5408\u3001\u95a2\u6570\u304c\u9023\u7d9a\u306a\u306e\u3067\u3042\u308c\u3070\u3001\\(1&lt;x&lt;2\\)\u306e\u9593\u3067\\(4^x-3x-2=0\\)\u3068\u306a\u308b\\(x\\)\u306e\u5024\u304c\u5fc5\u305a\u5b58\u5728\u3057\u307e\u3059\u3002<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/hatsudy.com\/jp\/wp-content\/uploads\/2023\/02\/gww8.jpg\" alt=\"\" width=\"600\" height=\"252\" class=\"aligncenter size-full wp-image-12738\" \/><\/p>\n<p>\u30b0\u30e9\u30d5\u306e\u5f62\u306f\u4e0d\u660e\u3067\u3042\u3063\u3066\u3082\u3001\u89e3\u304c\u5b58\u5728\u3059\u308b\u304b\u3069\u3046\u304b\u308f\u304b\u308c\u3070\u3044\u3044\u3067\u3059\u3002\u305d\u3053\u3067\u3001\\(f(1)\\)\u3068\\(f(2)\\)\u3092\u8a08\u7b97\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n<ul>\n<li>\\(f(1)=4-3-2=-1\\)<\/li>\n<li>\\(f(2)=16-6-2=8\\)<\/li>\n<\/ul>\n<p>\\(f(1)&lt;0,f(2)&gt;0\\)\u3067\u3042\u308b\u305f\u3081\u3001\\(f(x)=4^x-3x-2\\)\u306f\\(1&lt;x&lt;2\\)\u306e\u9593\u306b\u5c11\u306a\u304f\u3068\u3082\u4e00\u3064\u306e\u5b9f\u6570\u89e3\u3092\u3082\u3061\u307e\u3059\u3002\u3053\u3046\u3057\u3066\\(4^x=3x+2\\)\u306b\u3064\u3044\u3066\u3001\\(1&lt;x&lt;2\\)\u306e\u9593\u306b\u5c11\u306a\u304f\u3068\u3082\u4e00\u3064\u306e\u5b9f\u6570\u89e3\u3092\u3082\u3064\u3053\u3068\u3092\u8a3c\u660e\u3067\u304d\u307e\u3057\u305f\u3002<\/p>\n<h2>\u6975\u9650\u3092\u5229\u7528\u3057\u3066\u95a2\u6570\u306e\u9023\u7d9a\u6027\u3092\u78ba\u8a8d\u3059\u308b<\/h2>\n<p>\u95a2\u6570\u304c\u9023\u7d9a\u304b\u4e0d\u9023\u7d9a\u304b\u3068\u3044\u3046\u306e\u306f\u3001\u95a2\u6570\u304c\u9014\u5207\u308c\u3066\u3044\u308b\u304b\u3069\u3046\u304b\u3067\u5224\u65ad\u3067\u304d\u307e\u3059\u3002\u4e0d\u9023\u7d9a\u306e\u5834\u5408\u3001\u95a2\u6570\u306f\u3069\u3053\u304b\u306e\u5024\u3067\u9014\u5207\u308c\u307e\u3059\u3002<\/p>\n<p>\u305d\u3053\u3067\u95a2\u6570\u304c\u4e0d\u9023\u7d9a\u3068\u306a\u308b\u5834\u5408\u306b\u3064\u3044\u3066\u3001\u6975\u9650\u3092\u7528\u3044\u3066\u5b9a\u7fa9\u3057\u307e\u3059\u3002\\(\\displaystyle \\lim_{ x \\to a+0 } f(x)\u2260\\displaystyle \\lim_{ x \\to a-0 } f(x)\\)\u306e\u3068\u304d\u3001\u95a2\u6570\u306f\\(x=a\\)\u3067\u4e0d\u9023\u7d9a\u3067\u3059\u3002\\(\\displaystyle \\lim_{ x \\to a } f(x)=f(a)\\)\u3067\u306f\u306a\u3044\u30b1\u30fc\u30b9\u306b\u3064\u3044\u3066\u3082\u3001\u95a2\u6570\u306f\\(x=a\\)\u3067\u4e0d\u9023\u7d9a\u3067\u3059\u3002<\/p>\n<p>\u306a\u304a\u3001\u95a2\u6570\u306e\u9023\u7d9a\u6027\u306b\u306f\u6027\u8cea\u304c\u3042\u308a\u307e\u3059\u3002\u9589\u533a\u9593\u3067\u95a2\u6570\u304c\u9023\u7d9a\u306a\u5834\u5408\u3001\u5fc5\u305a\u6700\u5c0f\u5024\u3068\u6700\u5927\u5024\u304c\u3042\u308a\u307e\u3059\u3002\u307e\u305f\u3001\u4e2d\u9593\u5024\u306e\u5b9a\u7406\u3092\u5229\u7528\u3057\u3066\u89e3\u304c\u5b58\u5728\u3059\u308b\u3053\u3068\u3092\u8a3c\u660e\u3067\u304d\u308b\u3088\u3046\u306b\u306a\u308a\u307e\u3057\u3087\u3046\u3002<\/p>\n<p>\u95a2\u6570\u306e\u8a08\u7b97\u3092\u3059\u308b\u3068\u304d\u3001\u9023\u7d9a\u306a\u95a2\u6570\u3092\u30e1\u30a4\u30f3\u3067\u5229\u7528\u3057\u3066\u8a08\u7b97\u3057\u3066\u304d\u307e\u3057\u305f\u3002\u95a2\u6570\u306e\u9023\u7d9a\u6027\u3068\u3044\u3046\u306e\u306f\u3001\u6975\u9650\u3092\u5229\u7528\u3059\u308b\u3053\u3068\u3067\u8868\u3059\u3053\u3068\u304c\u3067\u304d\u308b\u306e\u3067\u3059\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u6975\u9650\u3092\u5b66\u3076\u3053\u3068\u306b\u3088\u308a\u3001\u95a2\u6570\u306e\u9023\u7d9a\u6027\u304c\u308f\u304b\u308a\u307e\u3059\u3002\u95a2\u6570\u306e\u9023\u7d9a\u6027\u3067\u306f\u3001\u7dda\u304c\u9014\u4e2d\u3067\u9014\u5207\u308c\u3066\u3044\u308b\u304b\u3069\u3046\u304b\u3092\u78ba\u8a8d\u3059\u308c\u3070\u3044\u3044\u3067\u3059\u3002 \u305f\u3060\u3001\u9014\u5207\u308c\u3066\u3044\u308b\u304b\u3069\u3046\u304b\u3067\u306f\u8aac\u660e\u3068\u3057\u3066\u4e0d\u5341\u5206\u3067\u3059\u3002\u7bc4\u56f2\u3092\u533a\u5207\u308c\u3070\u3001\u95a2\u6570\u304c\u9023\u7d9a\u3057\u3066\u3044\u308b\u30b1\u30fc\u30b9\u306f\u591a\u3044\u3067 [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":12741,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[13],"tags":[],"class_list":{"0":"post-12721","1":"post","2":"type-post","3":"status-publish","4":"format-standard","5":"has-post-thumbnail","7":"category-h-math"},"_links":{"self":[{"href":"https:\/\/hatsudy.com\/jp\/wp-json\/wp\/v2\/posts\/12721","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/hatsudy.com\/jp\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/hatsudy.com\/jp\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/hatsudy.com\/jp\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/hatsudy.com\/jp\/wp-json\/wp\/v2\/comments?post=12721"}],"version-history":[{"count":7,"href":"https:\/\/hatsudy.com\/jp\/wp-json\/wp\/v2\/posts\/12721\/revisions"}],"predecessor-version":[{"id":12755,"href":"https:\/\/hatsudy.com\/jp\/wp-json\/wp\/v2\/posts\/12721\/revisions\/12755"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/hatsudy.com\/jp\/wp-json\/wp\/v2\/media\/12741"}],"wp:attachment":[{"href":"https:\/\/hatsudy.com\/jp\/wp-json\/wp\/v2\/media?parent=12721"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/hatsudy.com\/jp\/wp-json\/wp\/v2\/categories?post=12721"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/hatsudy.com\/jp\/wp-json\/wp\/v2\/tags?post=12721"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}