x²-12y²=xy,且xy>0,则分式x+3y/2x-y的值为_______x2-12y2=xy,且xy>0,则分式x+3y/2x-y的值为_______

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x²-12y²=xy,且xy>0,则分式x+3y/2x-y的值为_______x2-12y2=xy,且xy>0,则分式x+3y/2x-y的值为_______
x²-12y²=xy,且xy>0,则分式x+3y/2x-y的值为_______
x2-12y2=xy,且xy>0,则分式x+3y/2x-y的值为_______

x²-12y²=xy,且xy>0,则分式x+3y/2x-y的值为_______x2-12y2=xy,且xy>0,则分式x+3y/2x-y的值为_______
x²-xy-12y²=0
(x-4y)(x+3y)=0
x=4y,x=-3y
xy>0
所以x和y同号
所以x=4y
原式=(4y+3y)/(8y-y)=7y/7y=1