高二数学,求最值x>y>0 x+1/(x-y)yx>y>0 x+1/(x-y)y求最小值

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高二数学,求最值x>y>0  x+1/(x-y)yx>y>0  x+1/(x-y)y求最小值

高二数学,求最值x>y>0 x+1/(x-y)yx>y>0 x+1/(x-y)y求最小值
高二数学,求最值x>y>0 x+1/(x-y)y
x>y>0 x+1/(x-y)y
求最小值

高二数学,求最值x>y>0 x+1/(x-y)yx>y>0 x+1/(x-y)y求最小值
x+1/(x-y)y
>=x-y+y+1/(x-y)y
>=3*三次根号下[(x-y)*y*1/(x-y)y]
=3
仅当x-y=y=1/(x-y)y,即x=2/三次根号下2;y=1/三次根号下2时成立

最小值为3。