名校
解题方法
1 . 已知函数
是
上的偶函数,对于任意
,都有
成立,当
时,有
给出下列命题:
①
;
②函数
的周期是6;
③函数
在
上为增函数;
④函数
在
上有四个零点.
其中所有正确命题的序号为_______________ .(把所有正确命题的序号都填上)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4166972dec0aa3e8694a44eeb941a08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed586e332a074da6f8aa7789ff097c62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27952f1cb92d01fc151c06520a40b27b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/175af24df3d4c5737b7bf338df00b53d.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee64d91962737f227ea7526db98bcf61.png)
②函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
③函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aba96293e8584117b1321b47d7f4c2ca.png)
④函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aba96293e8584117b1321b47d7f4c2ca.png)
其中所有正确命题的序号为
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