题目内容
已知周期为2的偶函数f(x)的区间[0,1]上是增函数,则f(-6.5),f(-1),f(0)的大小关系是( )
| A.f(-6.5)<f(0)<f(-1) | B.f(0)<f(-6.5)<f(-1) |
| C.f(-1)<f(-6.5)<f(0) | D.f(-1)<f(0)<f(-6.5) |
∵函数f(x)周期为2的偶函数,
∴f(-6.5)=f(-0.5)=f(0.5)
f(-1)=f(1)
又∵f(x)的区间[0,1]上是增函数,
∴f(0)<f(0.5)<f(1)
即f(0)<f(-6.5)<f(-1)
故选B
∴f(-6.5)=f(-0.5)=f(0.5)
f(-1)=f(1)
又∵f(x)的区间[0,1]上是增函数,
∴f(0)<f(0.5)<f(1)
即f(0)<f(-6.5)<f(-1)
故选B
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