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给出定义:若m-<x(其中m为整数),则m叫做离实数x最近的整数,记作{x}=m...
给出定义:若m-
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<x
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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}=m.下列关于函数f(x)=|x-{x}|的四个命题:
①函数y=f(x)的定义域为R,值域为[0,
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];
②函数y=f(x)在[-
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,
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]上是增函数;
③函数y=f(x)是周期函数,最小正周期为1;
④函数y=f(x)的图象关于直线x=
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(k∈Z)对称.
其中正确命题的序号是
.
考点分析:
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下列命题:
(1)在△ABC中,“A<B”是“sinA<sinB”的必要而非充分条件;
(2)函数f(x)=|sinx-cosx|的最小正周期是π;
(3)在△ABC中,若
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103102546759237556/SYS201311031025467592375013_ST/0.png)
,
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103102546759237556/SYS201311031025467592375013_ST/1.png)
,
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103102546759237556/SYS201311031025467592375013_ST/2.png)
,则△ABC为钝角三角形;
(4)要得到函数y=sin(
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)的图象,只需将y=sin
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103102546759237556/SYS201311031025467592375013_ST/4.png)
的图象向右平移
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103102546759237556/SYS201311031025467592375013_ST/5.png)
个单位.
其中真命题的序号是
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