解题方法
1 . 设函数
是定义在
上的函数,满足
,且对任意的
,恒有
,已知当
时,
,判断以下结论:
①函数
是周期函数,且周期为2,
②函数
的最大值是4,最小值是1
③当
时,
,
④函数
在
上单调递增,在
上单调递减.
其中正确的是___________ (只写正确结论的序号).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cfd4b22e50b313bf02baa4149248c114.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24a57996290794e082b21d8f1dfc322a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa130b80a64f150b2ab78d40cf128c8e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fbb01a7f5e9861aa185c6c63fcd58c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0ca09f5aa587fb8e9f825cf0f211072.png)
①函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
②函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
③当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/095c5f7a3c6917839c01fd1e5654ee91.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac9d82a6bad102108099361619ba1555.png)
④函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0de71d25c72850e383a4c841eed0db99.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/986bf388154929f938930bb581589c92.png)
其中正确的是
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2021-12-07更新
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400次组卷
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2卷引用:河北省衡水市冀州区第一中学2020-2021学年高二下学期期末数学试题