若1/x - 1/y =1 ,求(3y-xy-3x) / (x-xy-y) 的值.
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若1/x - 1/y =1 ,求(3y-xy-3x) / (x-xy-y) 的值.
若1/x - 1/y =1 ,求(3y-xy-3x) / (x-xy-y) 的值.
若1/x - 1/y =1 ,求(3y-xy-3x) / (x-xy-y) 的值.
1/x-1/y=1,等号左边通分得
(y-x)/xy=1
y-x=xy
∵分子:3y-xy-3x=3y-3x-xy=3(y-x)-xy=3xy-xy=2xy
分母:x-xy-y=-(y-x)-xy=-xy-xy=-2xy
∴3y-xy-3x/x-xy-y=2xy/(-2xy)=-1
1/x - 1/y =1
(y-x)/xy=1
y-x=xy
x-y=-xy
(3y-xy-3x) / (x-xy-y)
=(3y-3x-xy) / (x-y-xy)
=(3xy-xy)/(-xy-xy)
=2xy/(-2xy)
=-1
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