名校
解题方法
1 . 设函数
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9f049a5f960728c60a909821b2404b.png)
(1)已知
对任意
恒成立,求实数
的取值范围;
(2)已知直线
与曲线
,
分别切于点
,
,其中
.
①求证:
;
②已知
对任意
恒成立,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ff6838d84b68c6f0d3b93b196d9b08d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9f049a5f960728c60a909821b2404b.png)
(1)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2b5178b7395ee353cb63df3028c51f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66692ec49a458f9e48c7315d03dfc37b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
(2)已知直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d27c0ab3e2d7698f082854bafe4174dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4197070db34f0419b6d85eed4cec9fc5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6270bb08b90f72d5671ab8225f356c43.png)
①求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21f61bb43900bfc8bf7760185b4e0bbb.png)
②已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9268d9bfd0e22baf5956a2d6fb07ed6e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/153c6af699ce31b283e79b973e1927af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
您最近一年使用:0次
2 . 若过点
仅可作曲线
的两条切线,则
的取值范围是_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2c3091b94ba135ae28c882c9b71aacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa17e5fa6b3de4403149e2f39feaaee5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
名校
解题方法
3 . 已知
,函数
恒成立,则
的最大值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2292e05a7b23f1d1820e8adc18f29f38.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d35f61845ced816d5e5eea34d9f143c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2024-05-23更新
|
847次组卷
|
2卷引用:河南省信阳市新县高级中学2024届高三考前第六次适应性考试数学试题
4 . 已知函数
.
(1)讨论
的单调性;
(2)当
时,
,数列
满足
,且
,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6fc91798f52a3c8cc03cffd609397570.png)
(1)讨论
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86723236cb3b3f72ebded27dbf2d3eca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/272b44a71d0bec02b3c4f3f05304f942.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f35acda33d5be11651364d468bf76e87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8ad2d54a904031da674ac0121e25d68.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6fcf906eed73cbd0ae0baefbae8addad.png)
您最近一年使用:0次
2024-05-22更新
|
358次组卷
|
2卷引用:河南省TOP二十名校2024届高三下学期5月联考猜题(一)数学试卷 (2)
名校
5 . 已知数列
的通项为
,前
项和为
,则下列选项中正确的有( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
A.如果![]() ![]() ![]() ![]() |
B.如果![]() ![]() ![]() ![]() |
C.如果![]() ![]() ![]() ![]() |
D.如果![]() ![]() ![]() ![]() ![]() ![]() |
您最近一年使用:0次
2024-05-21更新
|
956次组卷
|
3卷引用:河南省信阳市新县高级中学2024届高三4月适应性考试数学试题
6 . 已知函数
.
(1)求
的极值;
(2)若过点
可以作两条直线与曲线
相切,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cc1b193aa193153eb402df8560778e6.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4562f3225c98cf5cb11b47d98c9cc9c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/153fd5ba2a1a36ea1a7aee469663ddbd.png)
您最近一年使用:0次
7 . 已知函数
.
(1)当
时,求
的单调区间;
(2)当
时,设正项数列
满足:
,
①求证:
;
②求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/912db59acd9b73f98c01414f28eeabc5.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f4c78214e43a8b93f2a57072033cbcf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf0086b054ef120408acac806a1b1318.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e976c0663fa749ca749f99842d21ca03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37a6951c356414872ba8f6a7b7957be8.png)
①求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/985be3c4916ba2f93f943a58e09edb80.png)
②求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc2338c60e8d58771d3265d15ed7f555.png)
您最近一年使用:0次
8 . 已知函数
为
的反函数,若
的图象与直线
交点的横坐标分别为
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12fef6055a386209e47f0e11ecb7df57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acbfa1ed032f601837620d404dfa8f0c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f1d8d5cea065075fe50706abe3ae802.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ce7ae90d808f05e86ea063238e4b2f9.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
9 . 已知函数
.
(1)当
时,求曲线
在点
处的切线方程;
(2)设函数
有两个不同的极值点
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97e3900c574e3dda7e8ac2ae7a5c0504.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5828873f8369183faf71181cda5b61d2.png)
(2)设函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ce7ae90d808f05e86ea063238e4b2f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
名校
10 . 若函数
在区间
上有两个零点,则
的取值范围为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14eab751e1c4137515374855b95793e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71163f419555f2ed76075c8ff659fbfc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次