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[函数] 最小值的最大值

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hongxian posted 2017-4-14 21:05 |Read mode
已知:$x>0$,$y>0$,$M=\min{\{2x,\dfrac{1}{y},y+\dfrac{1}{x}\}}$,求$M$的最大值。

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色k posted 2017-4-14 21:15
常规题,你去看《撸题集》第 929 页题目 6.9.17 就知道怎么做了。

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original poster hongxian posted 2017-4-14 22:33
回复 2# 色k

奇怪的是最值又是在三个曲面的交点处取得。

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色k posted 2017-4-14 22:45
回复 3# hongxian

这有啥奇怪嘀?

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