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给出定义:若m-<x≤m+(其中m为整数),则m叫做离实数x最近的整数,记作{x...
给出定义:若m-
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<x≤m+
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(其中m为整数),则m叫做离实数x最近的整数,记作{x},即{x}=m,在此基础上给出下列关于函数f(x)=x-{x}的四个命题:
①y=f(x)的定义域是R,值域是(-
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,
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];
②点(k,0)(k∈Z)是y=f(x)的图象的对称中心;
③函数y=f(x)在(-
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,
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]上是增函数;
④函数y=f(x)的最小正周期为1;
则其中真命题是
.
考点分析:
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