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[不等式] 二元条件最值

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敬畏数学 posted 2021-6-4 12:50 |Read mode
实数$  x,y$满足:$ x-4\sqrt{y}=2\sqrt{x-y} $, 实数$ x $的最大值____.

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爪机专用 posted 2021-6-4 13:37
`x=4\sqrt{y}+2\sqrt{x-y}\le\sqrt{(16+4)(y+x-y)}`

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isee posted 2021-6-4 19:37
直接平方,然后看作 根号y 的二次方程,判别式≥0,亦可

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