若1/x-1/y=3,则2x-3y-2y/x-2xy-y的值为( )
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若1/x-1/y=3,则2x-3y-2y/x-2xy-y的值为( )
![若1/x-1/y=3,则2x-3y-2y/x-2xy-y的值为( )](/uploads/image/z/17169852-12-2.jpg?t=%E8%8B%A51%2Fx-1%2Fy%3D3%2C%E5%88%992x-3y-2y%2Fx-2xy-y%E7%9A%84%E5%80%BC%E4%B8%BA%28+%29)
【备注:2x-3y-2y/x-2xy-y 应为(2x-3xy-2y)/(x-2xy-y)
1/x-1/y=3
(2x-3xy-2y)/(x-2xy-y)
分子分母同除以xy:
= (2/y-3-2/x)/(1/y-2-1/x)
= {-3-2(1/x-1/y)} / {-2-(1/x-1/y)}
= {-3-2*3}/{-2-3}
= -9/(-5)
= 9/5
= 1.8
1/x-1/y=3
(2x-3xy-2y)/(x-2xy-y)
分子分母同除以xy:
= (2/y-3-2/x)/(1/y-2-1/x)
= {-3-2(1/x-1/y)} / {-2-(1/x-1/y)}
= {-3-2*3}/{-2-3}
= -9/(-5)
= 9/5
= 1.8
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