{"id":12184,"date":"2023-01-12T23:36:15","date_gmt":"2023-01-12T14:36:15","guid":{"rendered":"https:\/\/hatsudy.com\/jp\/?p=12184"},"modified":"2023-01-18T00:22:06","modified_gmt":"2023-01-17T15:22:06","slug":"recurrence-relation-7","status":"publish","type":"post","link":"https:\/\/hatsudy.com\/jp\/recurrence-relation-7.html","title":{"rendered":"\u78ba\u7387\u6f38\u5316\u5f0f\uff1a\u554f\u984c\u306e\u89e3\u304d\u65b9\u3068\u8a08\u7b97\u65b9\u6cd5"},"content":{"rendered":"\n<p>\u6f38\u5316\u5f0f\u304c\u95a2\u308f\u308b\u554f\u984c\u306b\u78ba\u7387\u304c\u3042\u308a\u307e\u3059\u3002\u78ba\u7387\u6f38\u5316\u5f0f\u306f\u5185\u5bb9\u304c\u975e\u5e38\u306b\u96e3\u3057\u304f\u3001\u554f\u984c\u306e\u89e3\u304d\u65b9\u3092\u77e5\u3089\u306a\u3044\u3068\u7b54\u3048\u3092\u5f97\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u305b\u3093\u3002<\/p>\n<p>\u307e\u305f\u3001\u305d\u3082\u305d\u3082\u78ba\u7387\u6f38\u5316\u5f0f\u306b\u95a2\u3059\u308b\u554f\u984c\u3067\u3042\u308b\u3053\u3068\u3092\u898b\u6975\u3081\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002\u53cd\u5fa9\u8a66\u884c\u306e\u78ba\u7387\u3068\u78ba\u7387\u6f38\u5316\u5f0f\u3092\u533a\u5225\u3067\u304d\u308b\u3088\u3046\u306b\u306a\u308a\u307e\u3057\u3087\u3046\u3002<\/p>\n<p>\u306a\u304a\u78ba\u7387\u6f38\u5316\u5f0f\u3067\u306f\u3001\u8907\u6570\u306e\u4e8b\u8c61\u3092\u8003\u616e\u3059\u308b\u5fc5\u8981\u304c\u3042\u3063\u305f\u308a\u3001\u96a3\u63a53\u9805\u306e\u6f38\u5316\u5f0f\u3092\u5229\u7528\u3057\u305f\u308a\u3059\u308b\u30b1\u30fc\u30b9\u304c\u3042\u308a\u307e\u3059\u3002\u3053\u308c\u3089\u306e\u78ba\u7387\u6f38\u5316\u5f0f\u306b\u3064\u3044\u3066\u3082\u3001\u5f0f\u3092\u4f5c\u308b\u3053\u3068\u306b\u3088\u3063\u3066\u7b54\u3048\u3092\u5f97\u3089\u308c\u308b\u3088\u3046\u306b\u306a\u308a\u307e\u3057\u3087\u3046\u3002<\/p>\n<p>\u305d\u308c\u3067\u306f\u3001\u78ba\u7387\u6f38\u5316\u5f0f\u306e\u554f\u984c\u3092\u89e3\u304f\u306b\u306f\u3069\u306e\u3088\u3046\u306b\u3059\u308c\u3070\u3044\u3044\u306e\u3067\u3057\u3087\u3046\u304b\u3002\u78ba\u7387\u6f38\u5316\u5f0f\u306e\u898b\u6975\u3081\u65b9\u3084\u5f0f\u306e\u4f5c\u308a\u65b9\u3001\u554f\u984c\u306e\u89e3\u304d\u65b9\u3092\u89e3\u8aac\u3057\u3066\u3044\u304d\u307e\u3059\u3002<\/p>\n<h2>\u53cd\u5fa9\u8a66\u884c\u306e\u78ba\u7387\u3068\u78ba\u7387\u6f38\u5316\u5f0f\u306e\u898b\u6975\u3081\u65b9<\/h2>\n<p>\u78ba\u7387\u6f38\u5316\u5f0f\u306e\u554f\u984c\u304c\u96e3\u3057\u3044\u7406\u7531\u3068\u3057\u3066\u306f\u3001\u305d\u3082\u305d\u3082\u300c\u78ba\u7387\u6f38\u5316\u5f0f\u3092\u5229\u7528\u3057\u3066\u554f\u984c\u3092\u89e3\u304b\u306a\u3051\u308c\u3070\u3044\u3051\u306a\u3044\u306e\u304b\u3069\u3046\u304b\u308f\u304b\u3089\u306a\u3044\u300d\u3053\u3068\u304c\u3042\u3052\u3089\u308c\u307e\u3059\u3002\u4f3c\u305f\u78ba\u7387\u306e\u554f\u984c\u306b\u53cd\u5fa9\u8a66\u884c\u306e\u78ba\u7387\u304c\u3042\u308a\u307e\u3059\u3002\u53cd\u5fa9\u8a66\u884c\u306e\u78ba\u7387\u3067\u306f\u4ee5\u4e0b\u306e\u3088\u3046\u306a\u554f\u984c\u6587\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<ul>\n<li>\u30b5\u30a4\u30b3\u30ed\u30925\u56de\u6295\u3052\u30011\u306e\u76ee\u304c2\u56de\u51fa\u308b\u78ba\u7387\u3092\u6c42\u3081\u307e\u3057\u3087\u3046\u3002<\/li>\n<\/ul>\n<p>\u3053\u306e\u5834\u5408\u3001\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u8a08\u7b97\u3057\u307e\u3059\u3002<\/p>\n<ul>\n<li>\\(_5C_2\\left(\\displaystyle\\frac{1}{6}\\right)^2\\left(\\displaystyle\\frac{5}{6}\\right)^3=\\displaystyle\\frac{625}{3888}\\)<\/li>\n<\/ul>\n<p>\u3053\u306e\u3088\u3046\u306b\u53cd\u5fa9\u8a66\u884c\u306e\u78ba\u7387\u3067\u306f\u3001\\(n\\)\u56de\u306e\u30a4\u30d9\u30f3\u30c8\u306e\u3046\u3061\u3001\u76ee\u7684\u306e\u4e8b\u8c61\u304c\u4f55\u56de\u8d77\u3053\u308b\u306e\u304b\u6c7a\u307e\u3063\u3066\u3044\u307e\u3059\u3002<\/p>\n<p>\u4e00\u65b9\u3067<span 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#0000ff;\">\\(n\\)\u56de\u76ee\u306b\u4e8b\u8c61\u304c\u8d77\u3053\u308b\u78ba\u7387\\(P_n\\)\u3092\u5229\u7528\u3057\u3066\u3001\\(n+1\\)\u56de\u76ee\u306b\u76ee\u7684\u306e\u4e8b\u8c61\u304c\u8d77\u3053\u308b\u78ba\u7387\\(P_{n+1}\\)\u3092\u5f0f\u3067\u8868\u3057\u307e\u3057\u3087\u3046\u3002<\/span>\u3053\u306e\u3088\u3046\u306a\u6f38\u5316\u5f0f\u3092\u4f5c\u308c\u3070\u3001\u7279\u6027\u65b9\u7a0b\u5f0f\u3092\u5229\u7528\u3059\u308b\u3053\u3068\u306b\u3088\u3063\u3066\u4e00\u822c\u9805\u3092\u5f97\u3089\u308c\u307e\u3059\u3002\u3053\u308c\u304c\u3001\u78ba\u7387\u6f38\u5316\u5f0f\u306e\u5927\u307e\u304b\u306a\u65b9\u91dd\u3067\u3059\u3002<\/p>\n<p>\u6f38\u5316\u5f0f\u3092\u4f5c\u308b\u3068\u304d\u3001\u76ee\u7684\u306e\u4e8b\u8c61\u304c\\(n+1\\)\u56de\u76ee\u306b\u8d77\u3053\u308b\u3068\u304d\u306e\u78ba\u7387\u3092\u5f0f\u3068\u3057\u3066\u8868\u3059\u306e\u304c\u7279\u5fb4\u3067\u3059\u3002\\(n\\)\u56de\u76ee\u306b\u4e8b\u8c61\u304c\u8d77\u3053\u308b\u78ba\u7387\\(P_n\\)\u306f\u308f\u304b\u3089\u306a\u3044\u305f\u3081\u3001\\(P_n\\)\u3092\u5229\u7528\u3057\u3066\\(P_{n+1}\\)\u3092\u8868\u3059\u306e\u3067\u3059\u3002<\/p>\n<p>\u306a\u304a\\(n+1\\)\u56de\u76ee\u306b\u76ee\u7684\u3068\u3059\u308b\u4e8b\u8c61M\u304c\u8d77\u3053\u308b\u78ba\u7387\\(P_{n+1}\\)\u3092\u8a08\u7b97\u3059\u308b\u3068\u304d\u3001\u4ee5\u4e0b\u306e2\u30d1\u30bf\u30fc\u30f3\u3067\u8003\u3048\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n<ul>\n<li>\\(n\\)\u56de\u76ee\u306b\u4e8b\u8c61M\u304c\u8d77\u3053\u308a\u3001\\(n+1\\)\u56de\u76ee\u3082\u4e8b\u8c61M\u304c\u8d77\u3053\u308b<\/li>\n<li>\\(n\\)\u56de\u76ee\u306b\u4e8b\u8c61M\u304c\u8d77\u3053\u3089\u305a\u3001\\(n+1\\)\u56de\u76ee\u306b\u4e8b\u8c61M\u304c\u8d77\u3053\u308b<\/li>\n<\/ul>\n<p>\u306a\u304a\u3001\\(n\\)\u56de\u76ee\u306b\u4e8b\u8c61M\u304c\u8d77\u3053\u308b\u78ba\u7387\u304c\\(P_n\\)\u306a\u306e\u3067\u3042\u308c\u3070\u3001\\(n\\)\u56de\u76ee\u306b\u4e8b\u8c61M\u304c\u8d77\u3053\u3089\u306a\u3044\u78ba\u7387\u306f\\(1-P_n\\)\u3067\u3059\u3002<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/hatsudy.com\/jp\/wp-content\/uploads\/2023\/01\/rjeh1.jpg\" alt=\"\" width=\"600\" height=\"359\" class=\"aligncenter size-full wp-image-12205\" \/><\/p>\n<p>\u3053\u3046\u3057\u305f\u95a2\u4fc2\u3092\u5229\u7528\u3059\u308b\u3053\u3068\u306b\u3088\u308a\u3001\\(n+1\\)\u56de\u76ee\u306b\u4e8b\u8c61M\u304c\u8d77\u3053\u308b\u78ba\u7387\u3092\u8a08\u7b97\u3057\u307e\u3059\u3002<\/p>\n<h3>\u96a3\u63a52\u9805\u9593\u306e\u6f38\u5316\u5f0f\u3067\u306e\u7df4\u7fd2\u554f\u984c<\/h3>\n<p>\u305d\u308c\u3067\u306f\u3001\u5b9f\u969b\u306b\u554f\u984c\u3092\u89e3\u304f\u3053\u3068\u306b\u3088\u3063\u3066\u78ba\u7387\u6f38\u5316\u5f0f\u3092\u5b66\u3073\u307e\u3057\u3087\u3046\u3002\u4ee5\u4e0b\u306e\u554f\u984c\u306e\u7b54\u3048\u306f\u4f55\u3067\u3057\u3087\u3046\u304b\u3002<\/p>\n<ul>\n<li>\u30b5\u30a4\u30b3\u30ed\u3092\\(n\\)\u56de\u6295\u3052\u30011\u306e\u76ee\u304c\u5947\u6570\u56de\u51fa\u308b\u78ba\u7387\u3092\u6c42\u3081\u307e\u3057\u3087\u3046\u3002<\/li>\n<\/ul>\n<p>\u30b5\u30a4\u30b3\u30ed\u3092\\(n\\)\u56de\u6295\u3052\u308b\u3068\u304d\u30011\u306e\u76ee\u304c\u3044\u3064\u3001\u4f55\u56de\u51fa\u308b\u306e\u304b\u306f\u6c7a\u3081\u3089\u308c\u3066\u3044\u307e\u305b\u3093\u3002\u3053\u306e\u5834\u5408\u3001\u53cd\u5fa9\u8a66\u884c\u306e\u78ba\u7387\u3067\u306f\u306a\u304f\u78ba\u7387\u6f38\u5316\u5f0f\u3092\u5229\u7528\u3057\u307e\u3059\u3002<\/p>\n<p>\u524d\u8ff0\u306e\u901a\u308a\u3001\u78ba\u7387\u6f38\u5316\u5f0f\u3067\u306f\\(n+1\\)\u56de\u76ee\u306b\u76ee\u7684\u306e\u4e8b\u8c61\u3092\u5f97\u3089\u308c\u308b\u78ba\u7387\u3092\u5f0f\u306b\u8868\u3057\u307e\u3059\u3002\u30b5\u30a4\u30b3\u30ed\u3092\\(n+1\\)\u56de\u6295\u3052\u308b\u3068\u304d\u30011\u306e\u76ee\u304c\u5947\u6570\u56de\u51fa\u308b\u3068\u304d\u3001\u4ee5\u4e0b\u306e\u30b1\u30fc\u30b9\u304c\u8003\u3048\u3089\u308c\u307e\u3059\u3002<\/p>\n<ul>\n<li>\\(n\\)\u56de\u76ee\u306b1\u306e\u76ee\u304c\u5947\u6570\u56de\u51fa\u3066\u304a\u308a\u3001\\(n+1\\)\u56de\u76ee\u306b1\u306e\u76ee\u4ee5\u5916\u304c\u51fa\u308b<\/li>\n<li>\\(n\\)\u56de\u76ee\u306b1\u306e\u76ee\u304c\u5076\u6570\u56de\u51fa\u3066\u304a\u308a\u3001\\(n+1\\)\u56de\u76ee\u306b1\u306e\u76ee\u304c\u51fa\u308b<\/li>\n<\/ul>\n<p>\u306a\u304a\u3001\u4e0a\u8a182\u3064\u304c\u540c\u6642\u306b\u8d77\u3053\u308b\u3053\u3068\u306f\u3042\u308a\u307e\u305b\u3093\u3002\u305d\u306e\u305f\u3081\u3001\u4e21\u65b9\u306e\u78ba\u7387\u3092\u8db3\u3059\u3053\u3068\u306b\u3088\u3063\u3066\\(n+1\\)\u56de\u76ee\u306b1\u306e\u76ee\u304c\u5947\u6570\u56de\u51fa\u308b\u78ba\u7387\u3092\u5f97\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n<p>\u30b5\u30a4\u30b3\u30ed\u3092\u6295\u3052\u3001\\(n\\)\u56de\u76ee\u306b1\u306e\u76ee\u304c\u5947\u6570\u56de\u51fa\u308b\u78ba\u7387\u3092\\(P_n\\)\u3068\u3057\u307e\u3059\u30021\u306e\u76ee\u4ee5\u5916\u304c\u51fa\u308b\u78ba\u7387\u306f\\(\\displaystyle\\frac{5}{6}\\)\u3067\u3042\u308b\u305f\u3081\u3001\u300c\\(n\\)\u56de\u76ee\u306b1\u306e\u76ee\u304c\u5947\u6570\u56de\u51fa\u3066\u304a\u308a\u3001\\(n+1\\)\u56de\u76ee\u306b1\u306e\u76ee\u4ee5\u5916\u304c\u51fa\u308b\u78ba\u7387\u300d\u306f\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<ul>\n<li>\\(P_n\u00d7\\displaystyle\\frac{5}{6}\\)<\/li>\n<\/ul>\n<p>\u307e\u305f\u30b5\u30a4\u30b3\u30ed\u3092\u6295\u3052\u30011\u306e\u76ee\u304c\u51fa\u308b\u78ba\u7387\u306f\\(\\displaystyle\\frac{1}{6}\\)\u3067\u3059\u3002\u305d\u306e\u305f\u3081\u3001\u300c\\(n\\)\u56de\u76ee\u306b1\u306e\u76ee\u304c\u5076\u6570\u56de\u51fa\u3066\u304a\u308a\u3001\\(n+1\\)\u56de\u76ee\u306b1\u306e\u76ee\u304c\u51fa\u308b\u78ba\u7387\u300d\u306f\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<ul>\n<li>\\((1-P_n)\u00d7\\displaystyle\\frac{1}{6}\\)<\/li>\n<\/ul>\n<p>\u3053\u3046\u3057\u3066\u3001\u4ee5\u4e0b\u306e\u6f38\u5316\u5f0f\u3092\u4f5c\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n<p>\\(P_{n+1}=\\displaystyle\\frac{5}{6}P_n\\)\\(+(1-P_n)\\displaystyle\\frac{1}{6}\\)<\/p>\n<p>\\(P_{n+1}=\\displaystyle\\frac{2}{3}P_n+\\displaystyle\\frac{1}{6}\\)<\/p>\n<p>\u6f38\u5316\u5f0f\u3092\u4f5c\u308b\u3053\u3068\u304c\u3067\u304d\u308c\u3070\u3001\u7279\u6027\u65b9\u7a0b\u5f0f\u3092\u5229\u7528\u3057\u3066\u554f\u984c\u3092\u89e3\u3051\u3070\u3044\u3044\u3067\u3059\u3002\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u8a08\u7b97\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n<p>\\(\u03b1=\\displaystyle\\frac{2}{3}\u03b1+\\displaystyle\\frac{1}{6}\\)<\/p>\n<p>\\(\\displaystyle\\frac{1}{3}\u03b1=\\displaystyle\\frac{1}{6}\\)<\/p>\n<p>\\(\u03b1=\\displaystyle\\frac{1}{2}\\)<\/p>\n<p>\u305d\u306e\u305f\u3081\u3001\u4ee5\u4e0b\u306e\u5f0f\u3092\u4f5c\u308c\u307e\u3059\u3002<\/p>\n<ul>\n<li>\\(P_{n+1}-\\displaystyle\\frac{1}{2}=\\displaystyle\\frac{2}{3}\\left(P_n-\\displaystyle\\frac{1}{2}\\right)\\)<\/li>\n<\/ul>\n<p>\u30b5\u30a4\u30b3\u30ed\u3092\u4e00\u56de\u6295\u3052\u30011\u306e\u76ee\u304c\u51fa\u308b\u78ba\u7387\\(P_1\\)\u306f\\(\\displaystyle\\frac{1}{6}\\)\u3067\u3059\u3002\u6570\u5217\\(\\left\\{P_n-\\displaystyle\\frac{1}{2}\\right\\}\\)\u306f\u521d\u9805\\(P_1-\\displaystyle\\frac{1}{2}=-\\displaystyle\\frac{1}{3}\\)\u3001\u516c\u6bd4\\(\\displaystyle\\frac{2}{3}\\)\u306e\u7b49\u6bd4\u6570\u5217\u3067\u3059\u3002\u305d\u306e\u305f\u3081\u3001\u4ee5\u4e0b\u306e\u5f0f\u3092\u4f5c\u308c\u307e\u3059\u3002<\/p>\n<p>\\(P_n-\\displaystyle\\frac{1}{2}=-\\displaystyle\\frac{1}{3}\u00b7\\left(\\displaystyle\\frac{2}{3}\\right)^{n-1}\\)<\/p>\n<p>\\(P_n=-\\displaystyle\\frac{2^{n-1}}{3^n}+\\displaystyle\\frac{1}{2}\\)<\/p>\n<p>\u3053\u3046\u3057\u3066\u3001\\(P_n\\)\u3092\u8a08\u7b97\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3057\u305f\u3002\u78ba\u7387\u6f38\u5316\u5f0f\u306e\u8a08\u7b97\u65b9\u6cd5\u3092\u7406\u89e3\u3057\u3066\u3044\u306a\u3044\u3068\u554f\u984c\u3092\u89e3\u304f\u306e\u306f\u4e0d\u53ef\u80fd\u306a\u307b\u3069\u96e3\u3057\u3044\u3067\u3059\u3002\u305d\u3053\u3067\u3069\u306e\u3088\u3046\u306b\u5f0f\u3092\u4f5c\u308a\u3001\u8a08\u7b97\u3059\u308c\u3070\u3044\u3044\u306e\u304b\u5b66\u3073\u307e\u3057\u3087\u3046\u3002<\/p>\n<h3>\u540c\u3058\u8981\u7d20\u3068\u307f\u306a\u305b\u308b\u5834\u5408\u3001\u4e00\u3064\u306e\u6587\u5b57\u3067\u78ba\u7387\u3092\u8868\u3059<\/h3>\n<p>\u5148\u307b\u3069\u30012\u3064\u306e\u4e8b\u8c61\uff081\u306e\u76ee\u30681\u4ee5\u5916\u306e\u76ee\uff09\u306b\u3064\u3044\u3066\u78ba\u8a8d\u3057\u307e\u3057\u305f\u3002\u305f\u3060\u78ba\u7387\u6f38\u5316\u5f0f\u3067\u306f\u3001\u8907\u6570\u306e\u4e8b\u8c61\u3092\u53d6\u308a\u6271\u3046\u30b1\u30fc\u30b9\u304c\u3042\u308a\u307e\u3059\u3002\u3053\u306e\u5834\u5408\u30012\u3064\u30843\u3064\u306e\u4e8b\u8c61\u306b\u3064\u3044\u3066\u3001\u540c\u3058\u8981\u7d20\u3068\u307f\u306a\u305b\u308b\u304b\u3069\u3046\u304b\u78ba\u8a8d\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n<p>\u305d\u308c\u3067\u306f\u3001\u4ee5\u4e0b\u306e\u554f\u984c\u306e\u7b54\u3048\u306f\u4f55\u3067\u3057\u3087\u3046\u304b\u3002<\/p>\n<ul>\n<li>\u25b3ABC\u306e\u5404\u9802\u70b9\u3092\u79fb\u52d5\u3059\u308b\u70b9P\u304c\u3042\u308a\u307e\u3059\u3002\u70b9P\u306f1\u79d2\u3054\u3068\u306b\u3001\\(\\displaystyle\\frac{1}{2}\\)\u306e\u78ba\u7387\u3067\u9802\u70b9\u306b\u3068\u3069\u307e\u308a\u3001\\(\\displaystyle\\frac{1}{4}\\)\u306e\u78ba\u7387\u3067\u307b\u304b\u306e\u9802\u70b9\u3078\u305d\u308c\u305e\u308c\u79fb\u52d5\u3057\u307e\u3059\u3002\u6700\u521d\u3001\u70b9P\u304c\u9802\u70b9A\u306b\u5b58\u5728\u3059\u308b\u5834\u5408\u3001\\(n\\)\u79d2\u5f8c\u306b\u70b9P\u304c\u9802\u70b9A\u306b\u3042\u308b\u78ba\u7387\u3092\u8a08\u7b97\u3057\u307e\u3057\u3087\u3046\u3002<\/li>\n<\/ul>\n<p>\u3044\u3064\u3001\u4f55\u56de\u3001\u70b9P\u304c\u9802\u70b9A\u306b\u5b58\u5728\u3059\u308b\u306e\u304b\u4e0d\u660e\u3067\u3059\u3002\u305d\u306e\u305f\u3081\u3001\u78ba\u7387\u6f38\u5316\u5f0f\u3092\u7528\u3044\u3066\u8a08\u7b97\u3057\u307e\u3057\u3087\u3046\u3002\u305d\u3053\u3067\u3001\u4ee5\u4e0b\u306e\u5834\u9762\u3092\u60f3\u5b9a\u3057\u307e\u3059\u3002<\/p>\n<ul>\n<li>\\(n\\)\u79d2\u5f8c\u306b\u70b9P\u304c\u9802\u70b9A\u306b\u5b58\u5728\u3057\u3001\\(n+1\\)\u79d2\u5f8c\u306b\u70b9P\u304c\u9802\u70b9A\u306b\u3042\u308b\u3002<\/li>\n<li>\\(n\\)\u79d2\u5f8c\u306b\u70b9P\u304c\u9802\u70b9B\u306b\u5b58\u5728\u3057\u3001\\(n+1\\)\u79d2\u5f8c\u306b\u70b9P\u304c\u9802\u70b9A\u306b\u79fb\u52d5\u3059\u308b\u3002<\/li>\n<li>\\(n\\)\u79d2\u5f8c\u306b\u70b9P\u304c\u9802\u70b9C\u306b\u5b58\u5728\u3057\u3001\\(n+1\\)\u79d2\u5f8c\u306b\u70b9P\u304c\u9802\u70b9A\u306b\u79fb\u52d5\u3059\u308b\u3002<\/li>\n<\/ul>\n<p>\\(n\\)\u79d2\u5f8c\u306b\u70b9P\u304c\u9802\u70b9A\u3001\u9802\u70b9B\u3001\u9802\u70b9C\u306b\u5b58\u5728\u3059\u308b\u78ba\u7387\u3092\u305d\u308c\u305e\u308c\\(a_n\\)\u3001\\(b_n\\)\u3001\\(c_n\\)\u3068\u3057\u307e\u3059\u3002\u3053\u306e\u3068\u304d\u3001\\(n+1\\)\u79d2\u5f8c\u306b\u70b9P\u304c\u9802\u70b9A\u306b\u5b58\u5728\u3059\u308b\u78ba\u7387\u306f\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u8868\u305b\u307e\u3059\u3002<\/p>\n<p>\\(a_{n+1}=\\displaystyle\\frac{1}{2}a_n+\\displaystyle\\frac{1}{4}b_n+\\displaystyle\\frac{1}{4}c_n\\)<\/p>\n<p>\\(a_{n+1}=\\displaystyle\\frac{1}{2}a_n+\\displaystyle\\frac{1}{4}(b_n+c_n)\\)<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/hatsudy.com\/jp\/wp-content\/uploads\/2023\/01\/kfj2.jpg\" alt=\"\" width=\"600\" height=\"325\" class=\"aligncenter size-full wp-image-12211\" \/><\/p>\n<p>\\(b_n\\)\u304b\u3089\\(a_{n+1}\\)\u306b\u306a\u308b\u3068\u304d\u3068\u3001\\(c_n\\)\u304b\u3089\\(a_{n+1}\\)\u306b\u306a\u308b\u3068\u304d\u3068\u306e\u78ba\u7387\u306f\u4e21\u65b9\u3068\u3082\\(\\displaystyle\\frac{1}{4}\\)\u3067\u5171\u901a\u3067\u3059\u3002<\/p>\n<p>\u307e\u305f\u3059\u3079\u3066\u306e\u78ba\u7387\u3092\u8db3\u3059\u3068\u5fc5\u305a1\u306b\u306a\u308b\u305f\u3081\u3001\\(b_n+c_n=1-a_n\\)\u3067\u3059\u3002\u305d\u3053\u3067\u3001\u5148\u307b\u3069\u8a08\u7b97\u3057\u305f\u5f0f\u306b\\(b_n+c_n=1-a_n\\)\u3092\u4ee3\u5165\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n<p>\\(a_{n+1}=\\displaystyle\\frac{1}{2}a_n+\\displaystyle\\frac{1}{4}(b_n+c_n)\\)<\/p>\n<p>\\(a_{n+1}=\\displaystyle\\frac{1}{2}a_n+\\displaystyle\\frac{1}{4}(1-a_n)\\)<\/p>\n<p>\\(a_{n+1}=\\displaystyle\\frac{1}{4}a_n+\\displaystyle\\frac{1}{4}\\)<\/p>\n<p>\u3053\u3046\u3057\u3066\u3001\\(a_n\\)\u306e\u307f\u306e\u5f0f\u3067\u8868\u3059\u3053\u3068\u304c\u3067\u304d\u307e\u3057\u305f\u3002\u8907\u6570\u306e\u4e8b\u8c61\u304c\u5b58\u5728\u3059\u308b\u5834\u5408\u3001\u4eca\u56de\u306e\u8a08\u7b97\u306e\u3088\u3046\u306b\u3001\u307e\u3068\u3081\u308b\u3053\u3068\u304c\u3067\u304d\u306a\u3044\u304b\u8003\u3048\u307e\u3057\u3087\u3046\u3002\u306a\u304a\u3001\u7279\u6027\u65b9\u7a0b\u5f0f\u3092\u5229\u7528\u3057\u3066\u8a08\u7b97\u3059\u308b\u3068\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<p>\\(\u03b1=\\displaystyle\\frac{1}{4}\u03b1+\\displaystyle\\frac{1}{4}\\)<\/p>\n<p>\\(\\displaystyle\\frac{3}{4}\u03b1=\\displaystyle\\frac{1}{4}\\)<\/p>\n<p>\\(\u03b1=\\displaystyle\\frac{1}{3}\\)<\/p>\n<p>\\(\u03b1=\\displaystyle\\frac{1}{3}\\)\u3067\u3042\u308b\u305f\u3081\u3001\u4ee5\u4e0b\u306e\u6f38\u5316\u5f0f\u3078\u5909\u5f62\u3067\u304d\u307e\u3059\u3002<\/p>\n<ul>\n<li>\\(a_{n+1}-\\displaystyle\\frac{1}{3}=\\displaystyle\\frac{1}{4}\\left(a_n-\\displaystyle\\frac{1}{3}\\right)\\)<\/li>\n<\/ul>\n<p>\u70b9P\u306f\\(\\displaystyle\\frac{1}{2}\\)\u306e\u78ba\u7387\u3067\u540c\u3058\u5834\u6240\u306b\u3068\u3069\u307e\u308b\u305f\u3081\u30011\u79d2\u5f8c\u306b\u70b9P\u304c\u9802\u70b9A\u306b\u5b58\u5728\u3059\u308b\u78ba\u7387\u306f\\(a_1=\\displaystyle\\frac{1}{2}\\)\u3067\u3059\u3002\u305d\u306e\u305f\u3081\u3001\u6570\u5217\\(\\left\\{a_n-\\displaystyle\\frac{1}{3}\\right\\}\\)\u306f\u521d\u9805\\(a_1-\\displaystyle\\frac{1}{3}=\\displaystyle\\frac{1}{6}\\)\u3001\u516c\u6bd4\\(\\displaystyle\\frac{1}{4}\\)\u306e\u7b49\u6bd4\u6570\u5217\u3067\u3059\u3002\u305d\u306e\u305f\u3081\u3001\u4ee5\u4e0b\u306e\u5f0f\u3092\u4f5c\u308c\u307e\u3059\u3002<\/p>\n<p>\\(a_n-\\displaystyle\\frac{1}{3}=\\displaystyle\\frac{1}{6}\u00b7\\left(\\displaystyle\\frac{1}{4}\\right)^{n-1}\\)<\/p>\n<p>\\(a_n=\\displaystyle\\frac{1}{6}\u00b7\\left(\\displaystyle\\frac{1}{4}\\right)^{n-1}+\\displaystyle\\frac{1}{3}\\)<\/p>\n<p>\u3053\u3046\u3057\u3066\u3001\\(n\\)\u79d2\u5f8c\u306b\u70b9P\u304c\u9802\u70b9A\u306b\u5b58\u5728\u3059\u308b\u78ba\u7387\u3092\u5f97\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3057\u305f\u3002<\/p>\n<h2>\u96a3\u63a53\u9805\u9593\u306e\u78ba\u7387\u6f38\u5316\u5f0f<\/h2>\n<p>\u78ba\u7387\u6f38\u5316\u5f0f\u306e\u5fdc\u7528\u554f\u984c\u3067\u306f\u3001\u96a3\u63a53\u9805\u9593\u306e\u6f38\u5316\u5f0f\u304c\u95a2\u308f\u308b\u554f\u984c\u304c\u51fa\u984c\u3055\u308c\u307e\u3059\u3002\u305d\u3053\u3067\u3001\u96a3\u63a53\u9805\u9593\u306e\u6f38\u5316\u5f0f\u3092\u4f5c\u308b\u3053\u3068\u3067\u7b54\u3048\u3092\u5f97\u3089\u308c\u308b\u3088\u3046\u306b\u306a\u308a\u307e\u3057\u3087\u3046\u3002\u4ee5\u4e0b\u306e\u554f\u984c\u306e\u7b54\u3048\u306f\u4f55\u3067\u3057\u3087\u3046\u304b\u3002<\/p>\n<ul>\n<li>\u6570\u76f4\u7dda\u4e0a\u306e\u539f\u70b9O\u3092\u51fa\u767a\u70b9\u3068\u3057\u307e\u3059\u3002\u30b3\u30a4\u30f3\u3092\u6295\u3052\u3001\u8868\u304c\u51fa\u305f\u30892\u3001\u88cf\u304c\u51fa\u305f\u30891\u3001\u6b63\u306e\u65b9\u5411\u3078\u9032\u307f\u307e\u3059\u3002\u307e\u305f\u3001\u70b9\\(n\\)\u306b\u5230\u9054\u3059\u308b\u78ba\u7387\u3092\\(p_n\\)\u3068\u3057\u3001\\(n\\)\u306f\u81ea\u7136\u6570\u3067\u3059\u30023\u4ee5\u4e0a\u306e\\(n\\)\u306b\u3064\u3044\u3066\u3001\\(p_n\\)\u3001\\(p_{n-1}\\)\u3001\\(p_{n-2}\\)\u306e\u95a2\u4fc2\u5f0f\u3092\u8868\u3057\u3001\\(p_n\\)\u3092\u6c42\u3081\u307e\u3057\u3087\u3046\u3002<\/li>\n<\/ul>\n<p>\u30b3\u30a4\u30f3\u3092\u4f55\u56de\u6295\u3052\u308b\u306e\u304b\u6c7a\u3081\u3089\u308c\u3066\u3044\u307e\u305b\u3093\u3002\u305d\u3053\u3067\u3001\u78ba\u7387\u6f38\u5316\u5f0f\u3092\u7528\u3044\u3066\u8a08\u7b97\u3057\u307e\u3057\u3087\u3046\u3002\u30b3\u30a4\u30f3\u304c\u70b9\\(n\\)\u306b\u5230\u9054\u3059\u308b\u5834\u5408\u3001\u4ee5\u4e0b\u306e2\u901a\u308a\u304c\u5b58\u5728\u3057\u307e\u3059\u3002<\/p>\n<ul>\n<li>\u70b9\\(n-2\\)\u306b\u5230\u9054\u5f8c\u3001\u30b3\u30a4\u30f3\u3092\u6295\u3052\u3066\u8868\u304c\u51fa\u308b\u3002<\/li>\n<li>\u70b9\\(n-1\\)\u306b\u5230\u9054\u5f8c\u3001\u30b3\u30a4\u30f3\u3092\u6295\u3052\u3066\u88cf\u304c\u51fa\u308b\u3002<\/li>\n<\/ul>\n<p>\u6570\u76f4\u7dda\u4e0a\u3067\u70b9\\(n-2\\)\u306b\u5b58\u5728\u3059\u308b\u5834\u5408\u3001\u8868\u304c\u51fa\u308c\u30702\u9032\u3080\u3053\u3068\u3067\u70b9\\(n\\)\u306b\u5230\u9054\u3057\u307e\u3059\u3002\u8868\u304c\u51fa\u308b\u78ba\u7387\u306f\\(\\displaystyle\\frac{1}{2}\\)\u3067\u3042\u308b\u305f\u3081\u3001\u70b9\\(n-2\\)\u306b\u5230\u9054\u3059\u308b\u78ba\u7387\u3092\\(p_{n-2}\\)\u3068\u3059\u308b\u3068\u3001\u70b9\\(n\\)\u306b\u5230\u9054\u3059\u308b\u78ba\u7387\u3092\\(\\displaystyle\\frac{1}{2}p_{n-2}\\)\u3068\u8868\u3059\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n<p>\u307e\u305f\u6570\u76f4\u7dda\u4e0a\u3067\u70b9\\(n-1\\)\u306b\u5b58\u5728\u3059\u308b\u5834\u5408\u3001\u88cf\u304c\u51fa\u308c\u30701\u9032\u3080\u3053\u3068\u3067\u70b9\\(n\\)\u306b\u5230\u9054\u3057\u307e\u3059\u3002\u88cf\u304c\u51fa\u308b\u78ba\u7387\u306f\\(\\displaystyle\\frac{1}{2}\\)\u3067\u3042\u308b\u305f\u3081\u3001\u70b9\\(n-1\\)\u306b\u5230\u9054\u3059\u308b\u78ba\u7387\u3092\\(p_{n-1}\\)\u3068\u3059\u308b\u3068\u3001\u70b9\\(n\\)\u306b\u5230\u9054\u3059\u308b\u78ba\u7387\u3092\\(\\displaystyle\\frac{1}{2}p_{n-1}\\)\u3068\u8868\u3059\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/hatsudy.com\/jp\/wp-content\/uploads\/2023\/01\/kf5.jpg\" alt=\"\" width=\"528\" height=\"233\" class=\"aligncenter size-full wp-image-12214\" \/><\/p>\n<p>\u306a\u304a\u3001\u305d\u306e\u4ed6\u306e\u65b9\u6cd5\u306b\u3088\u3063\u3066\u70b9\\(n\\)\u306b\u5230\u9054\u3059\u308b\u65b9\u6cd5\u306f\u3042\u308a\u307e\u305b\u3093\u3002\u307e\u305f\u3001\\(p_{n-2}\\)\u3068\\(p_{n-1}\\)\u304c\u540c\u6642\u306b\u8d77\u3053\u308b\u3053\u3068\u306f\u3042\u308a\u307e\u305b\u3093\u3002\u305d\u306e\u305f\u3081\u3001\u4ee5\u4e0b\u306e\u3088\u3046\u306b\\(p_n\\)\u3092\u8a18\u3059\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n<ul>\n<li>\\(p_n=\\displaystyle\\frac{1}{2}p_{n-1}+\\displaystyle\\frac{1}{2}p_{n-2}\\)<\/li>\n<\/ul>\n<p>\u3053\u3046\u3057\u3066\u3001\u96a3\u63a53\u9805\u9593\u306e\u6f38\u5316\u5f0f\u3092\u4f5c\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3057\u305f\u3002<\/p>\n<p>\u306a\u304a\u3001\u70b91\u306b\u5230\u9054\u3059\u308b\u78ba\u7387\\(p_1\\)\u306f\\(\\displaystyle\\frac{1}{2}\\)\u3067\u3059\u3002\u88cf\u304c1\u56de\u51fa\u308c\u3070\u3001\u70b91\u306b\u5230\u9054\u3067\u304d\u307e\u3059\u3002\u4e00\u65b9\u3001\u70b92\u306b\u5230\u9054\u3059\u308b\u78ba\u7387\\(p_2\\)\u306f\u300c\u88681\u56de\u300d\u307e\u305f\u306f\u300c\u88cf2\u56de\u300d\u304c\u51fa\u308b\u78ba\u7387\u3092\u8db3\u305b\u3070\u3044\u3044\u305f\u3081\u3001\\(p_2=\\displaystyle\\frac{1}{2}+\\displaystyle\\frac{1}{2}\u00b7\\displaystyle\\frac{1}{2}\\)\\(=\\displaystyle\\frac{3}{4}\\)\u3067\u3059\u3002<\/p>\n<p>\u305d\u308c\u3067\u306f\u3001\u7279\u6027\u65b9\u7a0b\u5f0f\u3092\u5229\u7528\u3057\u3066\u96a3\u63a53\u9805\u9593\u306e\u6f38\u5316\u5f0f\u3092\u5909\u5f62\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n<p>\\(x^2=\\displaystyle\\frac{1}{2}x+\\displaystyle\\frac{1}{2}\\)<\/p>\n<p>\\(2x^2-x-1=0\\)<\/p>\n<p>\\((2x+1)(x-1)=0\\)<\/p>\n<p>\u3053\u3046\u3057\u3066\u3001\\(x=-\\displaystyle\\frac{1}{2},1\\)\u3068\u308f\u304b\u308a\u307e\u3057\u305f\u3002\u305d\u306e\u305f\u3081\u3001\u4ee5\u4e0b\u306e\u6f38\u5316\u5f0f\u3078\u5909\u5f62\u3067\u304d\u307e\u3059\u3002<\/p>\n<ul>\n<li>\\(p_n-p_{n-1}=-\\displaystyle\\frac{1}{2}(p_{n-1}-p_{n-2})\\)<\/li>\n<li>\\(p_n+\\displaystyle\\frac{1}{2}p_{n-1}=p_{n-1}+\\displaystyle\\frac{1}{2}p_{n-2}\\)<\/li>\n<\/ul>\n<p>\\(p_n-p_{n-1}=-\\displaystyle\\frac{1}{2}(p_{n-1}-p_{n-2})\\)\u306b\u7740\u76ee\u3057\u307e\u3057\u3087\u3046\u3002\u6570\u5217\\(\\{p_{n+1}-p_{n}\\}\\)\u306f\u521d\u9805\\(p_{2}-p_{1}=\\displaystyle\\frac{1}{4}\\)\u3001\u516c\u6bd4\\(-\\displaystyle\\frac{1}{2}\\)\u306e\u7b49\u6bd4\u6570\u5217\u3067\u3059\u3002\u305d\u306e\u305f\u3081\u3001\u4ee5\u4e0b\u306e\u5f0f\u3092\u4f5c\u308c\u307e\u3059\u3002<\/p>\n<ul>\n<li>\\(p_{n+1}-p_{n}=\\displaystyle\\frac{1}{4}\u00b7\\left(-\\displaystyle\\frac{1}{2}\\right)^{n-1}\\) &#8211; \u2460<\/li>\n<\/ul>\n<p>\u6b21\u306b\u3001\\(p_n+\\displaystyle\\frac{1}{2}p_{n-1}=p_{n-1}+\\displaystyle\\frac{1}{2}p_{n-2}\\)\u306b\u7740\u76ee\u3057\u307e\u3057\u3087\u3046\u3002\u6570\u5217\\(\\{p_{n+1}+\\displaystyle\\frac{1}{2}p_{n}\\}\\)\u306f\u521d\u9805\\(p_{2}+\\displaystyle\\frac{1}{2}p_{1}=1\\)\u3001\u516c\u6bd41\u306e\u7b49\u6bd4\u6570\u5217\u3067\u3059\u3002\u305d\u306e\u305f\u3081\u3001\u4ee5\u4e0b\u306e\u5f0f\u3092\u4f5c\u308c\u307e\u3059\u3002<\/p>\n<ul>\n<li>\\(p_{n+1}+\\displaystyle\\frac{1}{2}p_{n}=1\\) &#8211; \u2461<\/li>\n<\/ul>\n<p>\\(\u2460-\u2461\\)\u3088\u308a\u3001\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u8a08\u7b97\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n<p>\\(-\\displaystyle\\frac{3}{2}p_{n}=\\displaystyle\\frac{1}{4}\u00b7\\left(-\\displaystyle\\frac{1}{2}\\right)^{n-1}-1\\)<\/p>\n<p>\\(p_{n}=\\displaystyle\\frac{2}{3}-\\displaystyle\\frac{1}{6}\u00b7\\left(-\\displaystyle\\frac{1}{2}\\right)^{n-1}\\)<\/p>\n<p>\u3053\u3046\u3057\u3066\u3001\u96a3\u63a53\u9805\u9593\u306e\u6f38\u5316\u5f0f\u3092\u5229\u7528\u3059\u308b\u3053\u3068\u306b\u3088\u3063\u3066\u78ba\u7387\u3092\u5f97\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3057\u305f\u3002\u96a3\u63a52\u9805\u9593\u306e\u6f38\u5316\u5f0f\u306b\u6bd4\u3079\u3066\u8907\u96d1\u306b\u306a\u308b\u3082\u306e\u306e\u3001\u6f38\u5316\u5f0f\u306e\u6027\u8cea\u3092\u5229\u7528\u3059\u308b\u3053\u3068\u306b\u3088\u3063\u3066\u8a08\u7b97\u3067\u304d\u308b\u3088\u3046\u306b\u306a\u308a\u307e\u3057\u3087\u3046\u3002<\/p>\n<h2>\u78ba\u7387\u6f38\u5316\u5f0f\u3092\u4f5c\u308c\u308b\u3088\u3046\u306b\u3059\u308b<\/h2>\n<p>\u6f38\u5316\u5f0f\u306b\u95a2\u308f\u308b\u554f\u984c\u306f\u96e3\u3057\u3044\u3082\u306e\u306e\u3001\u7279\u306b\u96e3\u554f\u306b\u306a\u308a\u3084\u3059\u3044\u306e\u304c\u78ba\u7387\u6f38\u5316\u5f0f\u3067\u3059\u3002\u305d\u3082\u305d\u3082\u3001\u6f38\u5316\u5f0f\u3092\u5229\u7528\u3057\u306a\u3051\u308c\u3070\u3044\u3051\u306a\u3044\u78ba\u7387\u306e\u554f\u984c\u3067\u3042\u308b\u3053\u3068\u3092\u898b\u629c\u3051\u306a\u3051\u308c\u3070\u3044\u3051\u307e\u305b\u3093\u3002<\/p>\n<p>\u307e\u305f\u3001\u6f38\u5316\u5f0f\u3092\u4f5c\u308b\u306b\u306f\u9069\u5207\u306a\u65b9\u6cd5\u304c\u3042\u308a\u307e\u3059\u3002\u78ba\u7387\u6f38\u5316\u5f0f\u306e\u89e3\u304d\u65b9\u3092\u77e5\u3089\u306a\u3044\u5834\u5408\u3001\u6f38\u5316\u5f0f\u3092\u4f5c\u308b\u306e\u306f\u96e3\u3057\u3044\u3067\u3059\u3002\u305d\u3053\u3067\u3001\\(n\\)\u56de\u76ee\u3068\\(n+1\\)\u56de\u76ee\u306b\u7740\u76ee\u3059\u308b\u3053\u3068\u306b\u3088\u3063\u3066\u6f38\u5316\u5f0f\u3092\u4f5c\u308c\u308b\u3088\u3046\u306b\u306a\u308a\u307e\u3057\u3087\u3046\u3002<\/p>\n<p>\u306a\u304a\u78ba\u7387\u6f38\u5316\u5f0f\u306b\u95a2\u308f\u308b\u554f\u984c\u306b\u306f\u3001\u96a3\u63a53\u9805\u9593\u306e\u6f38\u5316\u5f0f\u3092\u5229\u7528\u3059\u308b\u30b1\u30fc\u30b9\u3082\u3042\u308a\u307e\u3059\u3002\\(n\\)\u56de\u76ee\u306b\u5bfe\u3057\u3066\u3001\\(n+1\\)\u56de\u76ee\u3068\\(n+2\\)\u56de\u76ee\uff08\u307e\u305f\u306f\\(n-1\\)\u56de\u76ee\u3068\\(n-2\\)\u56de\u76ee\uff09\u3092\u8003\u616e\u3059\u308b\u5834\u5408\u3067\u306f\u3001\u96a3\u63a53\u9805\u306e\u6f38\u5316\u5f0f\u3092\u5229\u7528\u3057\u307e\u3059\u3002<\/p>\n<p>\u78ba\u7387\u6f38\u5316\u5f0f\u306f\u96e3\u554f\u304c\u591a\u304f\u3001\u57fa\u672c\u3068\u306a\u308b\u4f8b\u984c\u3092\u89e3\u3051\u308b\u3088\u3046\u306b\u306a\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002\u76ee\u7684\u306e\u4e8b\u8c61\u304c\u3044\u3064\u3001\u4f55\u56de\u8d77\u3053\u308b\u306e\u304b\u6307\u5b9a\u3055\u308c\u3066\u3044\u306a\u3044\u5834\u5408\u3001\u78ba\u7387\u6f38\u5316\u5f0f\u3092\u5229\u7528\u3057\u3066\u7b54\u3048\u3092\u5f97\u3089\u308c\u308b\u3088\u3046\u306b\u306a\u308a\u307e\u3057\u3087\u3046\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u6f38\u5316\u5f0f\u304c\u95a2\u308f\u308b\u554f\u984c\u306b\u78ba\u7387\u304c\u3042\u308a\u307e\u3059\u3002\u78ba\u7387\u6f38\u5316\u5f0f\u306f\u5185\u5bb9\u304c\u975e\u5e38\u306b\u96e3\u3057\u304f\u3001\u554f\u984c\u306e\u89e3\u304d\u65b9\u3092\u77e5\u3089\u306a\u3044\u3068\u7b54\u3048\u3092\u5f97\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u305b\u3093\u3002 \u307e\u305f\u3001\u305d\u3082\u305d\u3082\u78ba\u7387\u6f38\u5316\u5f0f\u306b\u95a2\u3059\u308b\u554f\u984c\u3067\u3042\u308b\u3053\u3068\u3092\u898b\u6975\u3081\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002\u53cd\u5fa9\u8a66\u884c\u306e\u78ba\u7387\u3068\u78ba\u7387\u6f38\u5316\u5f0f [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":12220,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[13],"tags":[],"class_list":{"0":"post-12184","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\/12184","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=12184"}],"version-history":[{"count":15,"href":"https:\/\/hatsudy.com\/jp\/wp-json\/wp\/v2\/posts\/12184\/revisions"}],"predecessor-version":[{"id":12312,"href":"https:\/\/hatsudy.com\/jp\/wp-json\/wp\/v2\/posts\/12184\/revisions\/12312"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/hatsudy.com\/jp\/wp-json\/wp\/v2\/media\/12220"}],"wp:attachment":[{"href":"https:\/\/hatsudy.com\/jp\/wp-json\/wp\/v2\/media?parent=12184"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/hatsudy.com\/jp\/wp-json\/wp\/v2\/categories?post=12184"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/hatsudy.com\/jp\/wp-json\/wp\/v2\/tags?post=12184"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}