答:
|2x-1|-|x-2|
临界点2x-1=0或者x-2=0即:x=1/2,x=2
1)x<1/2时:
|2x-1|-|x-2|
=1-2x-(2-x)
=-x-1
2)1/2<=x<=2时:
|2x-1|-|x-2|
=2x-1-(2-x)
=3x-3
3)x>2时:
|2x-1|-|x-2|
=2x-1-(x-2)
=x+1
综上所述:
x<1/2:|2x-1|-|x-2|=-x-1
1/2<=x<=2:|2x-1|-|x-2|=3x-3
x>2:|2x-1|-|x-2|=x+1
x>2时,2x-1-(x-2)=x+1