1 . 已知函数
.
(1)讨论
的单调性;
(2)若
的两个极值点分别为
,
,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a285b69ac39ac359db1af064423d9c3b.png)
(1)讨论
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9707580fbd7e2f1359af2a64c7e4f71c.png)
您最近一年使用:0次
2023-08-30更新
|
245次组卷
|
3卷引用:山西省吕梁市吕梁学院附属高级中学等校2024届高三上学期开学质量检测数学试题
名校
解题方法
2 . 已知函数
.
(1)求
的单调区间;
(2)若
存在极大值M和极小值N,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdba57b954959ffc284a2c43ee79c968.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea6ab5dc88d360f758ee6709bd2a787f.png)
您最近一年使用:0次
2022-03-01更新
|
906次组卷
|
4卷引用:山西省吕梁市2022届高三下学期开年摸底联考(全国卷1)数学(文)试题
3 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7614b97c58a8c59943013292dee64aa.png)
(1)讨论
的单调性;
(2)若
存在两个极值点
,
,证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7614b97c58a8c59943013292dee64aa.png)
(1)讨论
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/759a8fce33cc836b832c41f6cf5f3af1.png)
您最近一年使用:0次
名校
解题方法
4 . 已知函数
.
(1)求
的单调区间;
(2)若方程
的两个实根分别为
(其中
),求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33019d7d0296b3ae468bfbfb746be545.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb101c5df08aa35ae24a6416840b199b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ce7ae90d808f05e86ea063238e4b2f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26d8dafc71b106f39f4e15442220897b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/920cbdd84f46039c5a109adca0bec9a0.png)
您最近一年使用:0次
2023-04-12更新
|
605次组卷
|
3卷引用:山西省晋城市第一中学校2024届高三下学期第十四次调研考试数学试题