若x,y满足2x+y-4=0,求xy的最大值

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若x,y满足2x+y-4=0,求xy的最大值若x,y满足2x+y-4=0,求xy的最大值若x,y满足2x+y-4=0,求xy的最大值2x+y-4=0∴y=4-2xxy=x(4-2x)=-2(x

若x,y满足2x+y-4=0,求xy的最大值
若x,y满足2x+y-4=0,求xy的最大值

若x,y满足2x+y-4=0,求xy的最大值
2x+y-4=0
∴y=4-2x
xy=x(4-2x)=-2(x²-2x)=-2(x-1)²+2≤2
∴xy的最大值=2
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