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[函数] 2013南开大学自主招生题目

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aishuxue Posted 2014-2-22 12:42 |Read mode

求函数$y=x(\sqrt{1+x}-\sqrt{1-x})$的最大值.

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战巡 Posted 2014-2-22 13:06

回复 1# aishuxue

这个未免太简单了吧........
显然这货是偶函数，又显然在$(0,1]$上递增
于是最大值就是$x=\pm 1$时$y=\sqrt{2}$啊...

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其妙 Posted 2014-2-23 17:34

标题倒是挺唬人的哦

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