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[不等式] 可以尽情放飞的不等式

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力工 posted 2018-5-4 19:05 |Read mode
已知$x,y$均为非负实数,且$x+y\leqslant 1$,求$4x^2+4y^2+(1-x-y)^2$的值域。

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realnumber posted 2018-5-4 20:52
宁波模拟卷刚考试的
s=x+y,t=x-y换下元你就看出来了

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isee posted 2018-5-4 21:46
回复 1# 力工

临场没时间了,实在没头绪的情况下,就将条件取等号,消元,求导。

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original poster 力工 posted 2018-5-4 23:00
回复 3# isee
求导不费脑,但太繁了。

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