若-2x2+5x-2>0,则4x2−4x+1+2|x−2|等于(  ) A.4x-5 B.-3 C.3 D.5-4x

问题描述:

若-2x2+5x-2>0,则

4x2−4x+1
+2|x−2|等于(  )
A. 4x-5
B. -3
C. 3
D. 5-4x

由-2x2+5x-2>0得:

1
2
<x<2.
∴则
4x2−4x+1
+2|x−2|

=|2x-1|+2|x-2|
=2x-1+2(2-x)
=3.
故选C.