已知2x^2-2y^2=3xy,求（x+2y)/(x-y)的值.

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已知2x^2-2y^2=3xy,求（x+2y)/(x-y)的值.
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已知2x^2-2y^2=3xy,求（x+2y)/(x-y)的值.
已知2x^2-2y^2=3xy,求（x+2y)/(x-y)的值.

已知2x^2-2y^2=3xy,求（x+2y)/(x-y)的值.
2x²-3xy-2y²=0
(2x+y)(x-2y)=0
2x+y=0,x-2y=0
所以y=-2x或x=2y
若y=-2x
则原式=(x-4x)/(x+2x)=-3x/3x=-1
若x=2y
则原式=(2y+2y)/(2y-y)=4y/y=4
所以原式=-1或4

2x^2-2y^2=3xy，
2x^2-2y^2-3xy=0
(2x+y)(x-2y)=0
2x+y=0或x-2y=0，x=2y
（x+2y)/(x-y)=0或（x+2y)/(x-y)=4y/y=4

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