Question

1<x<3，化简|x-3|+|x-1|/x-2的结果是多少？

Answer 1

解：因为1<x<3，所以|x-3|=3-x；|x-1|=x-1
所以原式=(3-x+x-1)/(x-2)=2/(x-2)

Answer 2

∴1<x<3
∴x-1>0，x-3<0，
|x-3|=-(x-3)=-x+3；|x-1|=x-1
(|x-3|+|x-1|)/(x-2)
=(-x+3+x-1)/(x-2)
=2/(x-2)