名校
1 . 已知函数
.
(1)若
是
的一个极值点,判断
的单调性;
(2)若
有两个极值点
,
,且
,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/254d3bcbf7948d0818f574e6af514a19.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.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/26d8dafc71b106f39f4e15442220897b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6aa33040475ae9271d8c909d32e045d.png)
您最近一年使用:0次
2020-03-15更新
|
604次组卷
|
3卷引用:福建省泉州市2018-2019学年高二下学期期末教学质量跟踪监测数学(理)试题
名校
解题方法
2 . 设函数
,其中
为实数.
(1)当
时,求
在区间
上的最小值;
(2)求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c78169a2d299c36a4f5840c188a875fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e5bcfb3bafe8373dd907e0e55d08f8c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e11f4ca0e7ace69f92130d0525bcdb3.png)
(2)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dcee353b85b4d18fc9131291e17275d7.png)
您最近一年使用:0次
名校
3 . 已知
.
(1)求
;
(2)设
,求证:
在
内有且只有一个零点;
(3)求证:当
时,
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8bdd7ca2cd65d6400106edcbd9e1d222.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b3ec7ada52f4850719a970aeb59ca16.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45cc692b12d6b257756f065678d45a54.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75e8e1c23498053dece274fc224982d8.png)
(3)求证:当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/857e07c5fb7f2410d6d267a00889db10.png)
您最近一年使用:0次
4 . 已知函数
.
(1)讨论
的导函数
零点的个数;
(2)若函数
存在最小值,证明:
的最小值不大于0.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a93cf0ccdc89b40943ea286ceb27f8a7.png)
(1)讨论
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7994bbcf39f4dda34e877b21af71f103.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
您最近一年使用:0次
2019-09-12更新
|
357次组卷
|
2卷引用:海南省八校联盟2018-2019学年高二下学期期末数学试题
5 . 已知函数
与函数
的图像有两个不同的交点
,
,且
.
(1)求实数
的取值范围;
(2)证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c7ed99a74e126a05cb520f19c094020.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65ca262f2fd88b90b33dc8a4acc76fa9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6ff82ebdfad5e7de1c7487b0b817a7f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a53e311ee0b5085e7e5a45c606daa5d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26d8dafc71b106f39f4e15442220897b.png)
(1)求实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
(2)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ad9aae6c32f6bc193917423a404c2cf.png)
您最近一年使用:0次
名校
解题方法
6 . 函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31072d632d6bf9434d13ddfdedf84dd4.png)
(1)若曲线
过点
,求曲线
在点
处的切线方程;
(2)求函数
在区间[1,e]上的最大值;
(3)若
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31072d632d6bf9434d13ddfdedf84dd4.png)
(1)若曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7c3316c2f17c0b3a99cc520b6aaa711.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
(2)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ccc99093ff159b3f94de7033dadde16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a55ad677b44a78c979c89a7a5fd7d7c3.png)
您最近一年使用:0次
7 . 已知
,函数
.
(1)当
时,求曲线
在点
处的切线方程;
(2)求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40e72f6b2ef3329828cb8fc873eeba7c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1fa7d8317068d0662eae3870f2a25e3c.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf0086b054ef120408acac806a1b1318.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5828873f8369183faf71181cda5b61d2.png)
(2)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c3b76f4b243255c7a8e160ebab2afba.png)
您最近一年使用:0次
名校
解题方法
8 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aed762478d4c1460ea95a9dd9a201d1e.png)
(1)若
对任意的
恒成立,求实数
的取值范围;
(2)求证:对任意的
(
为自然对数的底数.
).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aed762478d4c1460ea95a9dd9a201d1e.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22e38c541dec8fce1d26886e5ef7d21f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/966b60302d80d8613675bb3dd5c03164.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)求证:对任意的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f565470405badb641dc4058caf081aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/168b3e4b1d6f04226fa2687a72a268b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31e3ce576f0766f29349db973fc22eb8.png)
您最近一年使用:0次
2016-12-04更新
|
1056次组卷
|
2卷引用:2016届海南省文昌中学高三上学期期末考试理科数学试卷