名校
1 . 已知函数
,
.
(1)函数
为函数
的导函数,当
时,证明:
,
恒成立;
(2)当
时,证明:函数
存在极值点
,
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07f8c170c399b29eff1ab8cbd5c5d342.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10ede78fd7ac619ea597856254bb5d75.png)
(1)函数
![](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/1d33da711e50e96568facb18cef27165.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66692ec49a458f9e48c7315d03dfc37b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0527a896aec4a245945e5edee00deed.png)
(2)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/4b4855787feb81a72c6fb51e2246ca87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52da616af9387c1ce71d19bf5c664d99.png)
您最近一年使用:0次
名校
2 . 已知函数
.
(1)当
时,求曲线
在点
处的切线方程;
(2)若函数
在
上有最小值,求
的取值范围;
(3)如果存在
,使得当
时,恒有
成立,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5860d9a568403efb392fbffa5c24fc0d.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5095a28bb1b91bf6bed9e2cfbd76bb18.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c9f8845aa2b51c460f2d798c9f62fa3.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d562dc22dfb3b81d0c3f88b54d063c2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
(3)如果存在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea69fb59dc615852a0d248675788d82e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75f6eb5caf8df72136690703ba74a839.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc23217fe5d727feace1509cda9cc2be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
您最近一年使用:0次
2023-05-07更新
|
1367次组卷
|
7卷引用:北京市顺义区第一中学2022-2023学年高二下学期6月月考数学试题
2022高三·全国·专题练习
解题方法
3 . 已知函数
,若关于
的不等式
恒成立,求实数
的取值范围
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1a7c2664e813267c525d6e5954a0f09.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/018857ec6e498113b3b12a730d9313da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
4 . 已知函数
.
(1)当
,
时,讨论函数
的单调性;
(2)若
,且
,若
,求实数的m最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dcc393e2db8d17c2e70a6290de6e2a20.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33d64a7933986285685172c94a5900d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f06408895febc126c2ae409e807349c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/290fb6f1ecf3e1bcbd267e5b4a36be90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45d3eb2f9c5220ff84734efc6c8addff.png)
您最近一年使用:0次
解题方法
5 . 若不等式
对任意
恒成立,则实数
的值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e029a375a6ce2fd236ac5d884388f091.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb63478132d4c1fef3c17e591919da83.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
6 . 已知函数
,对任意的
,
恒成立,则
的取值范围是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75767d4e1de4cde3b1d930acbd03b773.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fde64f4d3c38e43fbdee24eadc4b0dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e9c599e8d420006448905acec2b8234.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2023-04-03更新
|
840次组卷
|
8卷引用:广东省广东仲元中学2021-2022学年高二下学期5月月考数学试题
广东省广东仲元中学2021-2022学年高二下学期5月月考数学试题山东省名校联盟2022-2023学年高二下学期质量检测联合调考数学试题B2山东省名校联盟2022-2023学年高二下学期质量检测联合调考数学试题B1湖南省长沙麓山国际实验学校2022-2023学年高二下学期期中数学试题(已下线)高二数学下学期期中模拟试题01(数列、导数、计数原理)-【同步题型讲义】2022-2023学年高二数学同步教学题型讲义(人教A版2019选修)山西省朔州市平鲁区李林中学2022-2023学年高二下学期第四次月考数学试题福建省泉州市三校(铭选中学、泉州九中、 侨光中学)2022-2023学年高二下学期期中联考数学试题广东省深圳市第二高级中学2022-2023学年高二下学期第五次段考数学试题
解题方法
7 . 已知函数
,其中常数
,e是自然对数的底数.
(1)若
,求
的最小值;
(2)设使得
恒成立的a的最大值为
,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abf47ce746addccc1a23b5ba9c37dfe7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1e69392d21261afd8e5e5f096634669.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb8e1dd8da540badcb9a8f427c5b202e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)设使得
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22e38c541dec8fce1d26886e5ef7d21f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e72adb45c60c2f63b46e65ff787302bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c338c6b7a8d402d7bacdb37d588bd5bc.png)
您最近一年使用:0次
名校
解题方法
8 . 函数
,且
对任意
恒成立,则下列命题正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce69636147b723e958a64e5dbe18cfe5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e9c599e8d420006448905acec2b8234.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
A.![]() |
B.函数![]() |
C.曲线![]() ![]() ![]() ![]() ![]() |
D.若方程![]() ![]() ![]() |
您最近一年使用:0次
2023-03-26更新
|
534次组卷
|
2卷引用:重庆市南开中学校2021-2022学年高二下学期期中数学试题
名校
解题方法
9 . 已知函数
.
(1)当
时,求函数
的最小值;
(2)是否存在正整数
,使得
恒成立,若存在,求出
的最小值;若不存在,说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34eb96cf4f336cf8cca9bd701af5d4cc.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf0086b054ef120408acac806a1b1318.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60c85cecb4bd9a8ef879dc1511aa490a.png)
(2)是否存在正整数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dc9ede2e55724383dd1093fc7fcdb59.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
名校
解题方法
10 . 已知函数
.
(1)当
时,求
的最大值;
(2)若
,
,求a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/047bb1747b15d9d30fee199d61d905df.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1ccb692a97ea01b9847bb3401f8a6e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6acb0f1ac694dd177e99fc385f23318.png)
您最近一年使用:0次
2023-03-23更新
|
385次组卷
|
4卷引用:广东省广东仲元中学2021-2022学年高二下学期5月月考数学试题