解题方法
1 . 已知函数
.
(1)若
时,
在其定义域内不是单调函数,求a的取值范围;
(2)若
,
时,函数
有两个极值点
,
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/74d6f91e36b865ea3f3b30244b2114b3.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7aed39f5aca78934fb383402433fe549.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f4c78214e43a8b93f2a57072033cbcf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ffd888afdcfdb3e91a157d50f65e915e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9683faee732f4eedf79bed4e1e8a3c6c.png)
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2 . 若函数
在
上单调递增,则a和b的可能取值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d7a98b117e51c5fa3028888e37fd515.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d562dc22dfb3b81d0c3f88b54d063c2f.png)
A.![]() ![]() | B.![]() ![]() |
C.![]() ![]() | D.![]() ![]() |
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2024-01-25更新
|
883次组卷
|
4卷引用:浙江省温州市2023-2024学年高二上学期期末教学质量统一检测数学试题(A)
3 . 已知函数
.
(1)若
在
上为单调递增函数,求实数
的最小值.
(2)若
有两个极值点
.
(i)求实数
的取值范围;
(ii)求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21e1b4310d8af69c2ee47e19ac138195.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2bdfed8d6862125dc1fecfce0322a750.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c5b3d18fd51a908616c06526d5e63db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8dae74c724114bfeff024dd7b79f5edc.png)
(i)求实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(ii)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d91f0068c5c29b76c7facc01a7eca0d.png)
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