题目内容
已知f(x)是周期为2的偶函数,且在区间[0,1]是增函数,则f(-6.5),f(-1),f(0)的大小关系为( )A.f(-6.5)<f(0)<f(-1) B.f(-1)<f(-6.5)<f(0)
C.f(0)<f(-6.5)<f(-1) D.f(-1)<f(0)<f(-6.5)
C
解析:f(-6.5)=f(-3×2-0.5)=f(-0.5)=f(0.5),f(-1)=f(1).
∵f(x)在[0,1]单调递增,∴f(0)<f(0.5)<f(1)即f(0)<f(-6.5)<f(-1).
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