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给出定义:若(其中m为整数),则m叫做离实数x最近的整数,记作{x},即{x}=...
给出定义:若
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131025124410291934511/SYS201310251244102919345005_ST/0.png)
(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:
①函数y=f(x)定义域是R,值域是
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131025124410291934511/SYS201310251244102919345005_ST/1.png)
;
②函数y=f(x)的图象关于直线
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131025124410291934511/SYS201310251244102919345005_ST/2.png)
对称;
③函数y=f(x)是周期函数,最小正周期是1;
④函数y=f(x)在
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131025124410291934511/SYS201310251244102919345005_ST/3.png)
上是增函数.
则其中真命题是( )
A.①②③
B.②③④
C.①②④
D.①③④
考点分析:
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