1 . 已知函数
,
.
(1)若
,求函数
在
的值域;
(2)若
,求证
.求
的值;
(3)令
,则
,已知函数
在区间
有零点,求实数k的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dfc59e88149b506865a18f249c56f68.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89a768cc949e4d1ca3effaa7f82b2156.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/926b791b23dce655cb9230b416c0c42a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46be55c8f2760d6db125f46691a3de48.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b66ef59c3970f3581a5ea29e21fd564d.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08e4e14e7cce3bcd0371d32858b0a2c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ef502f2520c255f8c7281e343ce2357.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fdaaf67e089d2dd8468fbaba13d01b52.png)
(3)令
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a80661feb5630831d21c3d7a328c17ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdc38c68db969c0a77847417bdc732d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89e593828316139a54019e352dec883f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2dccf1f9faac56117d6d3dd1dddd286d.png)
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2022-06-24更新
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4卷引用:福建省泉州市泉港区第二中学2023-2024学年高一上学期12月月考数学试题