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\u3069\u3046\u3082, \u307f\u306a\u3055\u3093\u3053\u3093\u306b\u3061\u306f\u3002
\n\u9ad8\u6a4b\u4f73\u4f51\u3067\u3059\u3002<\/p>\n

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\n\u5358\u7d14\u306a\u4e0d\u7b49\u5f0f\u306f\u89e3\u3051\u308b\u3051\u3069, \u5fdc\u7528\u554f\u984c\u306b\u306a\u308b\u3068\u3069\u3046\u3057\u3066\u3044\u3044\u304b\u5206\u304b\u3089\u306a\u3044\u3068\u3044\u3046\u4eba\u3082\u591a\u3044\u306e\u3067\u306f\u306a\u3044\u3067\u3057\u3087\u3046\u304b\u3002
\n\u6570\u5b66\u2160, \u2161, \u2162\u305d\u308c\u305e\u308c\u3067\u3044\u308d\u3044\u308d\u306a\u30b0\u30e9\u30d5\u3092\u5b66\u7fd2\u3059\u308b\u3068\u601d\u3044\u307e\u3059\u304c, \u30b0\u30e9\u30d5\u3092\u5229\u7528\u3057\u3066\u4e0d\u7b49\u5f0f\u3092\u8003\u3048\u3066\u307f\u307e\u3057\u3087\u3046\u3002<\/p>\n\n

\u4e0d\u7b49\u5f0f\u3068\u30b0\u30e9\u30d5\u306e\u95a2\u4fc2<\/h2>\n

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\n
\u4f8b\u984c<\/div>\n
\n

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\n\"\"<\/p>\n<\/div>\n<\/div>\n

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\n
\n
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<\/div>\n
\n

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\n
\u4f8b\u984c<\/div>\n
\n

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\n
\n
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\"\"<\/a><\/p>\n

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\"\"<\/a><\/p>\n

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\n\u3088\u3063\u3066, \u6c42\u3081\u308b\\(a\\)\u306e\u7bc4\u56f2\u306f
\n\\begin{align*}
\n-a^2+1&>0\\\\
\n1&>a^2\\\\
\n-1&<a<1\\\\
\n\\end{align*}
\n\u3068\u306a\u308a\u307e\u3059\u3002<\/p>\n

\n
\n
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\n
\u4f8b\u984c<\/div>\n
\n

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\n
\n
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\"\"<\/a><\/p>\n

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\n\\(a>0\\)\u3067\\(f'(x)=3x^2-2ax-a^2=(3x+a)(x-a)\\)\u3067\u3042\u308b\u304b\u3089, \u5897\u6e1b\u8868\u306f\u4e0b\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002
\n\"\"<\/a><\/p>\n

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\n$$-a^3+4a>0$$
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\u6570\u5b66\u2162\u300c\u4e0d\u7b49\u5f0f\u306e\u6210\u7acb\u6761\u4ef6\u300d<\/h2>\n

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\n
\u4f8b\u984c<\/div>\n
\n

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\u4e0d\u7b49\u5f0f\u306e\u5909\u5f62<\/h3>\n

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\n$$a\\geqq\\frac{\\log x}{x}$$<\/p>\n

\u89e3\u7b54\u306e\u65b9\u91dd\u3092\u6574\u7406\u3059\u308b<\/h3>\n

\\(y=\\frac{\\log x}{x}\\)\u306e\u30b0\u30e9\u30d5\u306f\u983b\u51fa\u306a\u306e\u3067\u6982\u5f62\u306f\u899a\u3048\u3066\u304a\u3044\u3066\u640d\u306f\u306a\u3044\u3067\u3059\u3002\u6539\u3081\u3066\u89e3\u7b54\u306e\u65b9\u91dd\u3092\u6574\u7406\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n

\n
\n
\u3059\u3079\u3066\u306e\\(x\\)>0\u306b\u5bfe\u3057\u3066\u4e0d\u7b49\u5f0f\\(a\\geqq\\frac{\\log x}{x}\\)\u304c\u6210\u308a\u7acb\u3064\u3068\u306f, \\(x>0\\)\u306e\u7bc4\u56f2\u3067\\(y=\\frac{\\log x}{x}\\)\u306e\u30b0\u30e9\u30d5\u304c\\(y=a\\) \u3088\u308a\u3082\u4e0b\u307e\u305f\u306f\u4ea4\u308f\u308b\u3068\u3044\u3046\u3053\u3068\u3067\u3059\u3002\u3064\u307e\u308a, \u95a2\u6570\\(\\frac{\\log x}{x}\\)\u306e\\(x>0\\)\u306b\u304a\u3051\u308b\u6700\u5927\u5024\u304c\\(a\\)\u4ee5\u4e0b\u3067\u3042\u308b\u3068\u3044\u3046\u3053\u3068\u3067\u3059\u3002<\/div>\n<\/div>\n<\/div>\n

\"\"<\/a><\/p>\n

\\(f(x)=\\frac{\\log x}{x}\\)\u3068\u304a\u3044\u3066, \\(x>0\\)\u306e\u7bc4\u56f2\u306e\u5897\u6e1b\u3092\u8abf\u3079\u3066\u307f\u307e\u3059\u3002
\n\\(f'(x)=\\frac{1-\\log x}{x^2}\\)\u3068\u306a\u308b\u304b\u3089, \u5897\u6e1b\u8868\u306f\u4e0b\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002
\n\"\"<\/a><\/p>\n

\\(f(x)\\)\u306f\\(x>0\\)\u306e\u7bc4\u56f2\u3067\u6700\u5927\u5024\\(f(e)=\\frac{1}{e}\\)\u3068\u53d6\u308b\u304b\u3089,\u6c42\u3081\u308b\u7bc4\u56f2\u306f\\(\\frac{1}{e}\\leqq a\\)\u3068\u306a\u308a\u307e\u3059\u3002<\/p>\n

\u304a\u308f\u308a\u306b<\/h2>\n

\"\"
\n\u4eca\u56de\u306f\u300c\u4e0d\u7b49\u5f0f\u306e\u6210\u7acb\u6761\u4ef6\u300d\u306b\u3064\u3044\u3066\u304a\u8a71\u3057\u3057\u307e\u3057\u305f\u3002<\/p>\n

\u6570\u5b66\u2160, \u2161, \u2162\u3067\u306f\u69d8\u3005\u306a\u95a2\u6570\u306b\u3064\u3044\u3066\u5b66\u7fd2\u3057\u307e\u3059\u3002\u305d\u306e\u3068\u304d, \u30b0\u30e9\u30d5\u306e\u6982\u5f62\u3068\u6700\u5927\u5024\u3084\u6700\u5c0f\u5024\u306b\u3064\u3044\u3066\u5b66\u3073\u307e\u3059\u304c, \u305d\u306e\u5fdc\u7528\u5148\u3068\u3057\u3066\u65b9\u7a0b\u5f0f\u3084\u4e0d\u7b49\u5f0f\u306b\u95a2\u3059\u308b\u554f\u984c\u304c\u3042\u308a\u307e\u3059\u3002\u30b0\u30e9\u30d5\u3092\u5229\u7528\u3057\u3066\u65b9\u7a0b\u5f0f\u3084\u4e0d\u7b49\u5f0f\u306b\u95a2\u3059\u308b\u554f\u984c\u3092\u89e3\u304f\u3053\u3068\u306f\u9ad8\u6821\u6570\u5b66\u306e1\u3064\u306e\u30c6\u30fc\u30de\u3067\u3059\u306e\u3067\u662f\u975e\u7406\u89e3\u3057\u3066\u307b\u3057\u3044\u3068\u3053\u308d\u3067\u3059\u3002<\/p>\n

\u307e\u305f, 1\u3064\u306e\u8003\u3048\u65b9\u3067\u69d8\u3005\u306a\u554f\u984c\u304c\u89e3\u3051\u308b\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002\u89e3\u6cd5\u6697\u8a18\u3067\u306f\u306a\u304f, \u305d\u306e\u89e3\u6cd5\u306e\u7406\u89e3\u3092\u5fc3\u639b\u3051\u3066\u304f\u3060\u3055\u3044\u3002<\/p>\n

\u305d\u308c\u3067\u306f,\u4eca\u56de\u306f\u3053\u306e\u8fba\u3067\uff01<\/p>\n