032045题面修订
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"032045": {
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"id": "032045",
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"content": "已知$a, b\\in (0,+\\infty)$, 且$a \\neq b$, $n$是正整数. 求证: $(a+b)(a^n+b^n)<2(a^{n+1}+b^{n+1})$.",
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"content": "已知$a, b\\in (0,+\\infty)$, 且$a \\neq b$. 求证: $(a+b)(a^4+b^4)<2(a^{5}+b^{5})$.",
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"objs": [],
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"tags": [
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"第一单元",
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