1 . 已知函数
,
,
在区间I上均有定义,若对任意
,
,
,
成等差数列,则称函数
,
,
在区间I上成“等差函数列”.若
,
,
在区间
上成等差函数列,且
恒成立,则实数b的取值范围是____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a813b5adbf5c7082561237894ba6d599.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b359345c5afa1739bf5ebf8982e1d959.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b03e483e8a37a8e0e1fb327f99ad93ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d0532bf8ea573af0bc5bbda9e52154.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d132b0451d85491efaf9ea293b88745.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a813b5adbf5c7082561237894ba6d599.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/deb3b5e31ae23a5e11454df74cae7bcc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d5c448025ea7b5e428a7344e1ecd31b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a813b5adbf5c7082561237894ba6d599.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ead3fdcb8fe8f5eb3dbe7d96cabc28b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17c21e62571c3ecccac71d038cc456a6.png)
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2 . 若函数
同时满足:(i)
为偶函数;(ii)对任意
且
,总有
;(iii)定义域为
,值域为
,则称函数
具有性质
,现有
个函数:①
,②
,③
,④
,其中具有性质
的是___________ (填上所有满足条件的序号).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/062cebd769c37b65770147e6659ba872.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33bd24e647a626899a243a3f3984f90a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef42ef19c30c038b75f1710278ad0c76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3790be9f43fe15681b9d409b8f927729.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8860d9787671b53b1ab68b3d526f5ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45956e1c94c4d8f97ad72d8054414bbf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72c2a070fe89b803507dab696fa4641e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9cab9bd4e346e02b9ecae1df34ea990d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be3a8f161ca6a49f6a04548769aa57cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
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2022-01-03更新
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624次组卷
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6卷引用:江西省赣州市赣县第三中学2021-2022学年高一下学期开学考试数学试题
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