已知函数y=f(x)是偶函数,y=f(x-2)在[0,2]上是单调减函数,则()A.f(0)<f(-1)<f(2)B.f(-1)<f(0)<f(2)C.f(-1)<f(2)<f(0)D.f(2)<f(

题目简介

已知函数y=f(x)是偶函数,y=f(x-2)在[0,2]上是单调减函数,则()A.f(0)<f(-1)<f(2)B.f(-1)<f(0)<f(2)C.f(-1)<f(2)<f(0)D.f(2)<f(

题目详情

已知函数y=f(x)是偶函数,y=f(x-2)在[0,2]上是单调减函数,则(  )
A.f(0)<f(-1)<f(2)B.f(-1)<f(0)<f(2)C.f(-1)<f(2)<f(0)D.f(2)<f(-1)<f(0)
题型:单选题难度:偏易来源:不详

答案

由y=f(x-2)在[0,2]上单调递减,
∴y=f(x)在[-2,0]上单调递减.
∵y=f(x)是偶函数,
∴y=f(x)在[0,2]上单调递增.
又f(-1)=f(1)
故选A.

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