设x、y满足条件x-y+5>=0,x+y>=0,x

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设x、y满足条件x-y+5>=0,x+y>=0,x

设x、y满足条件x-y+5>=0,x+y>=0,x
设x、y满足条件x-y+5>=0,x+y>=0,x<=3.①求u=x^2+y^2的最大值与最小值②求v=y/x-5的最大值与最小值.

设x、y满足条件x-y+5>=0,x+y>=0,x
画出x-y+5≥0,x+y≥0,x≤3三者的图象可知:-2.5≤x≤3,-3≤y≤8
所以,
x=3,y=8时umax=x²+y²=3²+8²=73
x=0,y=0时umin=x²+y²=0
x=3,y=-3时,vmax=-3/(3-5)=1.5
x=3,y=8时,vmin=8/(3-5)=-4

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