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数学
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已知X>0,Y>0,且2X+8y-xy=0,求xy的最小值,求x+y的最小值
人气:468 ℃ 时间:2019-10-19 05:05:43
解答
设2x=m,8y=n,mn/16=m+n>=2倍的根号mn又m>0,n>0,所以nm>=1024,所以xy>=64,min(xy)=64
又(x-8)(y-2)=16,x>=8,y>=2,(x-8)(y-2)=8,min(x+y)=18
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