已知函数y=f(x)满足:f(x)=f(4-x)(x∈R),且在[2,+∞)上为增函数,则()A.f(4)>f(1)>f(0.5)B.f(1)>f(0.5)>f(4)C.f(4)>f(0.5)>f(1

题目简介

已知函数y=f(x)满足:f(x)=f(4-x)(x∈R),且在[2,+∞)上为增函数,则()A.f(4)>f(1)>f(0.5)B.f(1)>f(0.5)>f(4)C.f(4)>f(0.5)>f(1

题目详情

已知函数y=f(x)满足:f(x)=f(4-x)(x∈R),且在[2,+∞)上为增函数,则(  )
A.f(4)>f(1)>f(0.5)B.f(1)>f(0.5)>f(4)C.f(4)>f(0.5)>f(1)D.f(0.5)>f(4)>f(1)
题型:单选题难度:偏易来源:不详

答案

∵函数y=f(x)满足:f(x)=f(4-x)(x∈R),
∴函数f(x)的图象关于x=2对称
∴f(1)=f(3),f(0.5)=f(3.5)
又∵在[2,+∞)上为增函数,
∴f(4)>f(0.5)>f(1)
故选C

更多内容推荐