名校
解题方法
1 . 设函数
,
.
(1)求
在
上的最值;
(2)若函数
图象恰与函数
图象相切,求实数
的值;
(3)若函数
有两个极值点
,
,设点
,
,证明:
、
两点连线的斜率
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/603589540f7897790f99a8d75fd725f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5602d1637fb9dab9ef09ae6030b4ed7d.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7754cc9374c8193dadb6875fb8a3fefb.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1938c093dd2fbcb752d0eb7a18d143b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(3)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a10bb9a8107bd9c4f083578f473b9a99.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/67a3f0d7706dd7b38b770656f6937776.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/210304b08abfee9be4e4d3b01e323a66.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b387bb66f74a73d9f08c79e77a4df771.png)
您最近一年使用:0次
2024-06-04更新
|
235次组卷
|
2卷引用:福建省华安县第一中学2023-2024学年高二下学期5月月考数学试题
名校
解题方法
2 . 已知函数
,且
图象在
处的切线斜率为0.
(1)求
的值;
(2)令
,求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7629ed91657427a9ab96120cfc9a6a4f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)令
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c765461ae1a6c70f5cbdcb6c932a22b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
您最近一年使用:0次
2024-05-31更新
|
778次组卷
|
3卷引用:福建省漳州市第三中学2024届高三下学期高考全真模拟考试数学试题
名校
3 . 已知函数
.
(1)当
时,求曲线
在
处的切线方程;
(2)求函数
的极值点;
(3)写出
的一个值,使方程
有两个不等的实数根.并证明你的结论.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1cb662f1659b7d3b11842fc7d197b18.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
(2)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(3)写出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0369099d128586f54e7d566a5cdc5686.png)
您最近一年使用:0次
2024-04-30更新
|
305次组卷
|
2卷引用:福建省华安县第一中学2023-2024学年高二下学期5月月考数学试题
4 . 已知函数
,
且
.
(1)证明:曲线
在点
处的切线方程过坐标原点.
(2)讨论函数
的单调性.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c92f7136e7967137f1000e4de40d4bf7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10bbdef421c976962a270a2beabbad91.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20849c00c47cbdc43f18d53341b6c4e5.png)
(1)证明:曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5828873f8369183faf71181cda5b61d2.png)
(2)讨论函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
您最近一年使用:0次
5 . 已知函数
.
(1)求函数
的图象在点
处的切线方程;
(2)求函数
的单调区间.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1842f3b956fed2e696ae3f8c5e0ae728.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a4fd84394e897ebf6c4814b841d427b.png)
(2)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
您最近一年使用:0次
2024-03-24更新
|
2399次组卷
|
6卷引用:福建省漳州市平和正兴学校2023-2024学年高二下学期4月月考数学试题
名校
6 . 已知函数
.
(1)求曲线
在
处的切线方程;
(2)求
的单调区间与极值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b87f12ef6a87b963ea26a5d82c77018.png)
(1)求曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5828873f8369183faf71181cda5b61d2.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
您最近一年使用:0次
2023-10-20更新
|
1237次组卷
|
6卷引用:福建省漳州市诏安县桥东中学(霞葛教学点)2024届高三上学期第二次月考数学试题
福建省漳州市诏安县桥东中学(霞葛教学点)2024届高三上学期第二次月考数学试题海南省琼中黎族苗族自治县琼中中学2024届高三高考全真模拟卷(二)数学试题(已下线)模块四 专题2:导数大题分类练 (基础卷)内蒙古自治区通辽市科尔沁左翼中旗实验高级中学2023-2024学年高三上学期第二次月考数学(文)试题湖南省长沙市明德中学2023-2024学年高二上学期期末考试数学试卷(已下线)第04讲 5.3.2函数的极值与最大(小)值(6类热点题型讲练)-【帮课堂】2023-2024学年高二数学同步学与练(人教A版2019选择性必修第二册)
名校
解题方法
7 . 已知函数
,
.
(1)若经过点
的直线与函数
的图像相切于点
,求实数a的值;
(2)设
,若
有两个极值点为
,
,且不等式
恒成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c8f1ee3cc00a34f3a427eb896c3b03d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10bbdef421c976962a270a2beabbad91.png)
(1)若经过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b2c84e7b41a841a230ed5f8a42309aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ea9824af71c9da5db5a00ec06063024.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52c17c0f8e71272c3327478751b7e83d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85a93969738a9bb969f40cf587f1d5d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edf5e27d7b100672cd54ee8eb0e530a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
您最近一年使用:0次
2023-08-05更新
|
1042次组卷
|
8卷引用:福建省漳州市第三中学2024届高三上学期9月月考数学试题
8 . 已知函数
.
(1)若曲线
在点
处的切线与曲线
在点
处的切线平行,求实数
的值;
(2)若函数
的图象与
的图象有两个公共点,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4799995d9bc3589cac5f7d30f25e7fd5.png)
(1)若曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ea9824af71c9da5db5a00ec06063024.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1938c093dd2fbcb752d0eb7a18d143b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d7a999c36de5c9a9ce876a4a56fa34c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1938c093dd2fbcb752d0eb7a18d143b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2023-07-16更新
|
404次组卷
|
4卷引用:福建省漳州市2022-2023学年高二下学期期末教学质量检测数学试题
福建省漳州市2022-2023学年高二下学期期末教学质量检测数学试题(已下线)模块二 专题2 导数 B提升卷(人教A)(已下线)模块三 专题1 导数的几何意义(能力卷B)河南省郑州市基石中学2023-2024学年高三上学期开学考试数学试题
解题方法
9 . 已知函数
与
的图象有公切线
.
(1)求实数
和
的值;
(2)若
,且
,求实数
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/872ce9b6f04a608dbfb39d271e5bacd1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8016fa68266039752c3c32d8f1a3b77e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32d31d3dffb55d744c8078ab73e1567c.png)
(1)求实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/595e39457184c29eff04824ad5c2b4de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5822881cd395bca43c2c147c9e35d4b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
您最近一年使用:0次
10 . 已知函数
.
(1)当
为何值时,
轴为曲线
的切线;
(2)用
表示
中的最小值,设函数
,讨论
零点的个数.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df6a039edbde7d4c242a5ef6cba5f853.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
(2)用
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba0898d7174604fa223558cb25b4c78b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/280860dd039e1305a5ccc455f63e8223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/061de6f5e53fd5724c5910b8f4ac8c9e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a813b5adbf5c7082561237894ba6d599.png)
您最近一年使用:0次