1 . 已知函数
.
(1)求
的单调区间;
(2)若
对
恒成立,求a的取值范围;
(3)证明:若
在区间
上存在唯一零点
,则
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/038e9d57cedce08cfd8f84e8b8e8f51a.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c73a98c1b3504e09bfbe0db849b0d24.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66692ec49a458f9e48c7315d03dfc37b.png)
(3)证明:若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d562dc22dfb3b81d0c3f88b54d063c2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db59df375de5b16c75c71675f743b15d.png)
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2023-03-27更新
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9卷引用:北京市第九中学2024届高三上学期12月月考数学试题