13-14高三上·四川成都·期中
1 . 若
是任意非零常数,对于函数
有以下5个命题:
①
是
的周期函数的充要条件是
;
②
是
的周期函数的充要条件是
;
③若
是奇函数且是
的周期函数,则
的图形关于直线
对称;
④若
关于直线
对称,且
,则
是奇函数;
⑤若
关于点
对称,关于直线
对称,则
是
的周期函数.
其中正确命题的序号为_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c92f762652e758a704e26da76880e5c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c69e1d195e1c8db175fcbc9326526ece.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c92f762652e758a704e26da76880e5c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/378cb95209badfbf817682f6423ccd0b.png)
③若
![](https://img.xkw.com/dksih/QBM/2013/11/26/1571403473289216/1571403479064576/STEM/45170acd0f5c4d01a09adc14aeae6ebe.png?resizew=36)
![](https://img.xkw.com/dksih/QBM/2013/11/26/1571403473289216/1571403479064576/STEM/ce9d56d2eaa3493fbf341c2d00b5a5f3.png?resizew=49)
![](https://img.xkw.com/dksih/QBM/2013/11/26/1571403473289216/1571403479064576/STEM/45170acd0f5c4d01a09adc14aeae6ebe.png?resizew=36)
![](https://img.xkw.com/dksih/QBM/2013/11/26/1571403473289216/1571403479064576/STEM/23bf44c1841e4d3fa91f10715eb23a1e.png?resizew=41)
④若
![](https://img.xkw.com/dksih/QBM/2013/11/26/1571403473289216/1571403479064576/STEM/45170acd0f5c4d01a09adc14aeae6ebe.png?resizew=36)
![](https://img.xkw.com/dksih/QBM/2013/11/26/1571403473289216/1571403479064576/STEM/23bf44c1841e4d3fa91f10715eb23a1e.png?resizew=41)
![](https://img.xkw.com/dksih/QBM/2013/11/26/1571403473289216/1571403479064576/STEM/b37a67d258fd4475ad698567ec89c614.png?resizew=116)
![](https://img.xkw.com/dksih/QBM/2013/11/26/1571403473289216/1571403479064576/STEM/45170acd0f5c4d01a09adc14aeae6ebe.png?resizew=36)
⑤若
![](https://img.xkw.com/dksih/QBM/2013/11/26/1571403473289216/1571403479064576/STEM/45170acd0f5c4d01a09adc14aeae6ebe.png?resizew=36)
![](https://img.xkw.com/dksih/QBM/2013/11/26/1571403473289216/1571403479064576/STEM/9c58d5f29b3049d09a232ee8d5029a57.png?resizew=44)
![](https://img.xkw.com/dksih/QBM/2013/11/26/1571403473289216/1571403479064576/STEM/90b0a3d940f2450c8e5ce63567a477e9.png?resizew=37)
![](https://img.xkw.com/dksih/QBM/2013/11/26/1571403473289216/1571403479064576/STEM/45170acd0f5c4d01a09adc14aeae6ebe.png?resizew=36)
![](https://img.xkw.com/dksih/QBM/2013/11/26/1571403473289216/1571403479064576/STEM/3c3fd8da0caa40de8d650bd0c5fe4350.png?resizew=83)
其中正确命题的序号为
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