1 . 若
,
,
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ef2a45773db8d347f0cfa4e4fca7fd5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fda170e269ab0cb1002a510eab0e9d79.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42902e4cece4d7e098ed35b267ce604f.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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2 . 已知函数
和函数
,若存在实数
,使得
,则实数k的取值范围是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ae69369b68b42ce0dfb6b38f1bd50f3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e892dcea1be64641310af1a6cb77658e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d74c2df3fa14c3f8799d54d71001bdcd.png)
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名校
3 . 已知函数
,
.
(1)若
,求m的值及函数
的极值;
(2)讨论函数
的单调性:
(3)若对定义域内的任意x,都有
恒成立,求整数m的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8dce6087f50dacf34591f7520132f89.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f8d1a34435611f6a59eac3dbfeb6e17.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70dfd3b70aab0849a459a241d904aa73.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)讨论函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(3)若对定义域内的任意x,都有
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6acb0f1ac694dd177e99fc385f23318.png)
您最近一年使用:0次
2023-07-14更新
|
1762次组卷
|
5卷引用:天津市滨海新区2022-2023学年高二下学期期末数学试题
天津市滨海新区2022-2023学年高二下学期期末数学试题广东省珠海市斗门区第一中学2023-2024学年高二下学期第一次月考数学试题(已下线)第二章 导数与函数的单调性 专题一 含参函数单调性(单调区间) 微点1 含参函数单调性(单调区间)(一)——导主初等型(已下线)第四章 导数与函数的零点 专题四 导数中隐零点问题 微点4 导数中隐零点问题综合训练(已下线)模块三 大招13 恒成立参数——分类讨论
名校
解题方法
4 . 已知函数
.
(1)当
时,讨论
的单调性;
(2)当
时,
,求
的取值范围;
(3)已知函数
,对任意的
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2813919d04c197af85e589d12e6dfc64.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6e2e79843faf62dde86bf858d1e0569.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/988276175e8642f214dbfe3d5c808194.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(3)已知函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bf41e4ee0cefa3a022930818c3a2aa9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f093c61867ee4ce75f951d46b9b123.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7e2bfc213c4117fd8bfc674317d0f7e.png)
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名校
5 . 已知函数
其中
为常数.
(1)当
时,求曲线
在点
处的切线方程;
(2)求
的单调区间;
(3)若对任意
,不等式
恒成立,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ceb6a57539fdf5d0dfc0f3cc454091f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15a783088120d67cc98936081e80fb7f.png)
![](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)
(3)若对任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f60d0d50693eeff8420e872881feec54.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
您最近一年使用:0次
2023-07-14更新
|
1011次组卷
|
4卷引用:天津市四校(杨柳青一中、47中、百中、咸水沽一中)2022-2023学年高二下学期期末联考数学试题
天津市四校(杨柳青一中、47中、百中、咸水沽一中)2022-2023学年高二下学期期末联考数学试题(已下线)专题05 导数的综合问题(九大考点)-【寒假自学课】2024年高二数学寒假提升学与练(人教A版2019)(已下线)第5章 导数及其应用章末题型归纳总结(2)江西省上饶市余干县私立蓝天中学2024届高三上学期第二次月考数学试题
6 . 已知函数
.
(1)求曲线
在点
处的切线方程;
(2)设
为
的导函数,讨论
在区间
上的单调性;
(3)证明:对任意的
,有
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a68cf927d8df18c6b63838a51dfde3d8.png)
(1)求曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c9f8845aa2b51c460f2d798c9f62fa3.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.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/6d6f600b51029dd9e5a630de7d8479a3.png)
(3)证明:对任意的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6bec101d2f0896ba7131f6d470dd1bed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d6819945aa00328aa3073e581cdfd39.png)
您最近一年使用:0次
名校
7 . 已知函数
,(
且
)
(1)讨论函数
的单调性;
(2)当
时,证明:
;
(3)
,若
在
上恒成立,求实数
取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa9f7cb75c5500ad56dfe0f178dedb92.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10bbdef421c976962a270a2beabbad91.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20849c00c47cbdc43f18d53341b6c4e5.png)
(1)讨论函数
![](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/257810d08006d4b886331966c99767ea.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0a6b78d56da43f532804f9d239f9b56.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea0a2a1ebc67f3f8cf87d6ddc4285168.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97179eb63fcb5aed0b2354c97c8f70ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2023-07-10更新
|
430次组卷
|
2卷引用:天津市西青区2022-2023学年高二下学期期末数学试题
名校
8 . 已知函数
(
是自然对数底数)在定义域
上有三个零点,则实数
的取值范围是_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25b527ef6c37a923bb3e5dc554f4dcc1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/041a7c8fc017f596542c5e6ec7d1c40b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
2023-07-10更新
|
271次组卷
|
2卷引用:天津市西青区2022-2023学年高二下学期期末数学试题
名校
9 . 已知函数
;
(1)当
时,求曲线
在点
处的切线方程;
(2)讨论
的单调性;
(3)证明:当
,且
时,
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f604f6f8be74103da01d6dd24816d561.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cbeede118c407a800b05757b9a1393e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5828873f8369183faf71181cda5b61d2.png)
(2)讨论
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(3)证明:当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d2be44deec9d3c3eb6b456488b29358.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fde64f4d3c38e43fbdee24eadc4b0dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/820e68e26d500f5429ca6ed9b374effb.png)
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2023-07-08更新
|
600次组卷
|
2卷引用:天津市和平区2022-2023学年高二下学期期末数学试题
10 . 已知函数
若
恰有两个零点,则
的取值范围为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a09b42d0abec92d7a3879fde83e8989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ead3c38ccdb8a6d8233d4dabcfea1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次