名校
1 . 设函数
,
为函数
的导函数.
(1)讨论函数
的单调性并写出单调区间;
(2)若存在
,使得函数
不存在零点,求
的取值范围;
(3)若函数
有两个不同的零点
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d279f3d8a67db1677a095d257cdb8e73.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/724340d69477c0ec2418c392b22b1cab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(1)讨论函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若存在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
(3)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ce16ac2c501e5297c18e76c12ae660f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aca579894dad67bc82cb715fd48e0d70.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8b91118c18ef731302a7a54f33702bf.png)
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2022-02-06更新
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808次组卷
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3卷引用:天津市新华中学2022届高三下学期3月统练5数学试题