当1\X－1\Y=2001,求分式(X-XY-Y)\(X-Y)的值!...x-y-xy/(x-y)=1-xy/(x-y）是杂得来的_数学解答

当1\X－1\Y=2001,求分式(X-XY-Y)\(X-Y)的值!...
x-y-xy/(x-y)=1-xy/(x-y）是杂得来的

人气：243 ℃　时间：2020-02-03 04:53:43

解答

1/x-1/y=2001
(y-x)/xy=2001
y-x=2001xy
x-y=-2001xy
(x-xy-y)/(x-y)
=[(x-y)-xy]/(x-y)
=(-2001xy-xy)/(-2001xy)
=(-2002xy)/(-2001xy)
=2002/2001