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[不等式] 听说这个是钓鱼题

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lemondian posted 2024-8-6 13:51 |Read mode
听说这个是钓鱼题,如何钓法呢?
已知$a^2+b^2=1$,求$(a+1)(b+2)$的最大值。

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kuing posted 2024-8-6 14:26
钓法就是题目貌似平常,结果要解三次方程,没有简单解。

这不是个好的钓鱼题,因为答案不好,建议换数据,比如 `(a+2)(b+3)`(虽然答案也不简单)。

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其妙 posted 2024-8-13 22:24
你少写一个系数5,原题是:
已知$a^2+b^2=1$,求$(a+1)(5b+2)$的最大值。
妙不可言,不明其妙,不着一字,各释其妙!

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