名校
解题方法
1 . 已知函数
,
,
,则实数
的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e68b4f1de0165652adf7a4decd839b65.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f832d9cca2d5c9d76d38374e2a258d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6acb0f1ac694dd177e99fc385f23318.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2023-11-20更新
|
853次组卷
|
9卷引用:湖北省部分高中联考协作体2023-2024学年高三上学期期中考试数学试卷
湖北省部分高中联考协作体2023-2024学年高三上学期期中考试数学试卷辽宁省部分学校2023-2024学年高三上学期11月期中考试数学试题湖南省衡阳市衡南县2023-2024学年高三上学期11月期中联考数学试题福建省部分校2024届高三上学期期中考试数学试题辽宁省抚顺市六校协作体2024届高三上学期期中数学试题江西省宜春市丰城拖船中学2024届高三上学期期中数学试题江西省宜春市宜丰县宜丰中学2024届高三上学期12月月考数学试题(已下线)第04讲 导数在研究函数中的应用-【寒假预科讲义】2024年高二数学寒假精品课(人教A版2019)(已下线)重难点2-4 利用导数研究不等式与极值点偏移(8题型+满分技巧+限时检测)
名校
2 . 已知函数
.
(1)讨论
的单调性;
(2)设
在
处的切线方程为
,若
,要么
恒成立,要么
恒成立,求实数a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20bb36e1ebcaf7f7602336860fdaa9cf.png)
(1)讨论
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25be20e3724274132cb83b16deaeecfc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6279289fb354efeb10772c5763c58775.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6422b9c2e93a91fe9e39ce4d9dabb0fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1fb6c78c99853234de1744653363bff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bd1489a0f7016f9d44430a87f2f2f12.png)
您最近一年使用:0次
名校
解题方法
3 . 已知定义在
上的函数
图象上任意一点
均满足
,且对任意
,都有
恒成立,则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82a79a33a83a7ba57a34b5093d1d1d02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5701d06a34bf9718fe477c09700f8da8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66692ec49a458f9e48c7315d03dfc37b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ec1ed1ed3df3c9b675d57a2ebdc8253.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
名校
解题方法
4 . 已知函数
有三个极值点
,且
.
(1)求实数
的取值范围;
(2)若2是
的一个极大值点,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66d7d097b926e2a30f7ada313dd5cbc1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05b8ec9d4206ea66a02de5c4a1e1e911.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1310a7a80d1f8751a3f8cafe7f8c8b4.png)
(1)求实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
(2)若2是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d6e50474b39802eaf1f7f1800e8b3e6.png)
您最近一年使用:0次
名校
5 . 已知
,曲线
:
与
:
没有公共点.
(1)求
的取值范围;
(2)设一条直线与
,
分别相切于点
,
.证明:
(i)
;
(ⅱ)
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31cd0ce93b5e667e626905ea50de73e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c487f5facded553b286d0b85a2167388.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)设一条直线与
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb4d5ca4e251ff0e503a26f9a7375326.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5823e0c6dd1b7a6ff42d4ff521cc0366.png)
(i)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a84e93cfb5a81127f97271af803f8de0.png)
(ⅱ)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e118c9e921bb7ab8720174df658f499.png)
您最近一年使用:0次
名校
6 . 设
,若函数
有两个零点,则
的取值范围是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/382dcd3ac5a27fdcb9ad67cc322fa4df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
名校
7 . 已知![](https://staticzujuan.xkw.com/quesimg/Upload/formula/455737c14aa0d487847d78c785c17a46.png)
(1)若
有两个零点,求
的取值范围;
(2)若方程
有两个实根
、
,且
,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/455737c14aa0d487847d78c785c17a46.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a813b5adbf5c7082561237894ba6d599.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)若方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed15647423ebaba1f4d9373b46172e12.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/684bcf84f0a266515bfafde0da903050.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ab79778de8353f2b37f13b8e8af1f10.png)
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2023-11-11更新
|
624次组卷
|
4卷引用:湖北省鄂西北六校(宜城一中等)2023-2024学年高三上学期期中联考数学试题
名校
解题方法
8 . 已知函数
,设
,若对任意不相等的正数
,
,恒有
,则实数
的取值可能是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb3cf0eae5bc752b3faa38275dae61c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3002ad1638f25e355d70d5ab63e637f4.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/c1dd9c3b8199fbb89decde7e527434bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
名校
9 . 已知奇函数
满足:
,当
时,
,则下列大小关系正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34ea832b11f5a84b9bf3020271480631.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b6e80db7f2d705016809640d5c30dc1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15a7c3eb31cf575387a5a71146bb9497.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
2023-11-11更新
|
363次组卷
|
3卷引用:湖北省鄂西北六校(宜城一中等)2023-2024学年高三上学期期中联考数学试题
名校
解题方法
10 . 已知实数
,对
,
恒成立,则
的取值范围为____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7249c3400806014f4bdb788ad166fe80.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2305f48ea5dc95e292fbe7812df9f6be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2023-11-02更新
|
846次组卷
|
3卷引用:湖北省鄂东南省级示范高中教育教学改革联盟学校2023-2024学年高三上学期期中联考数学试题