名校
解题方法
1 . 设函数
.
(1)当
时,求
的单调区间;
(2)当
时,
恒成立,求
的取值范围;
(3)求证:当
时,
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d452de0c661afbb8a60361c66da5b372.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9cc4136bd17997e11a7f8abcb19f9018.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c73a98c1b3504e09bfbe0db849b0d24.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(3)求证:当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9cc4136bd17997e11a7f8abcb19f9018.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d1e281f89f17d958553664afd958bb3.png)
您最近一年使用:0次
2018-01-07更新
|
1395次组卷
|
10卷引用:贵州省铜仁一中2016-2017学年高二下学期期末数学(理)试题
贵州省铜仁一中2016-2017学年高二下学期期末数学(理)试题江西省莲塘一中2018届高三9月质量检测文科数学试题江西省赣州市寻乌中学2017-2018学年高二上学期期中考试数学(理)试题(已下线)黄金30题系列 高三年级数学江苏版 大题易丢分四川省遂宁中学校2019-2020学年高二下学期第二次月考数学(文)试题四川省广安市第二中学2021-2022学年高二下学期第一次月考数学(文)试题山东省临沂市2021-2022学年高二下学期期中数学试题江苏省镇江中学2021-2022学年高二下学期期中数学试题山东省聊城市聊城一中东校2021-2022学年高二下学期期中模拟数学试题(四)广东省江门市台山市华侨中学2021-2022学年高二下学期期中数学试题
名校
解题方法
2 . 设函数
.
(1)当
时,求证:
;
(3)若
对任意的
恒成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fea2d2f8b3fd436ce3c5f7d450d8975.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4166972dec0aa3e8694a44eeb941a08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0537af587b482ab6eea06ee944ae56f3.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b8806cf7a8fc63b64625ab53b3cf36b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/966b60302d80d8613675bb3dd5c03164.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
您最近一年使用:0次
名校
3 . 已知函数
.
(1)若
,求函数
的最大值;
(2)令
,讨论函数
的单调区间;
(3)若
,正实数
满足
,证明
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aad9c52cdf39e5c2bc3401d7c66f8743.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/196be101149acfb6a6c4ceca7fc96828.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)令
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5d04db6e43ac630ccbe7b46fe39768a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ce7ae90d808f05e86ea063238e4b2f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8edc9a8dca8cf050887b4915bfc962f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6330de640d51bb3970813289a4de3a5d.png)
您最近一年使用:0次
2017-07-23更新
|
321次组卷
|
6卷引用:贵州省铜仁市第一中学2018-2019学年高二下学期期末考试数学试题(文)
4 . 已知函数
.
(1)当
时,求
的极值;
(2)若
在
上是增函数,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc0fbbe9a0a2919fe9e5a52da77a211c.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb87c1479b168d37a10e5c6be12909b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8b6894e8c345a035e89ec672503a01f.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8b6894e8c345a035e89ec672503a01f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ac82ed0d19b3d6989b79781840ebba7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2016-12-04更新
|
558次组卷
|
2卷引用:2015-2016学年贵州思南中学高二下学期期末理数学理试卷
名校
解题方法
5 . 已知函数
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09dcd9f84c33528d311477b7c96f51ea.png)
(1)当
时,求
在区间
上的最大值和最小值;
(2)若对
,
恒成立,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c589325db8016e1566cdcf20d43e288.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09dcd9f84c33528d311477b7c96f51ea.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b4d795709b0abcf47bceec2250f2f9b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86f8b396f2ae63e79ffd8886ae4d3849.png)
(2)若对
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f58a2ddbd7fddf0e67957a6ee60b391e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0527a896aec4a245945e5edee00deed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2016-12-04更新
|
1331次组卷
|
6卷引用:2015-2016学年贵州思南中学高二下学期期末数学文试卷
2015-2016学年贵州思南中学高二下学期期末数学文试卷2016届安徽省淮北一中高三最后一卷文科数学试卷安徽省蚌埠市第一中学2019届高三上学期期中考试数学(文)试题2019届重庆市四川外语学院重庆第二外国语学校高考模拟(三诊)(文科)数学试题(已下线)专题07 用好导数,“三招”破解不等式恒成立问题(第一篇)-2020高考数学压轴题命题区间探究与突破新高考2021届高三考前保温热身模拟卷数学试题(五)
6 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ec14dca2d4339777ea708b6c140ec06.png)
(1)求
的表达式;
(2)不等式
对于
恒成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ec14dca2d4339777ea708b6c140ec06.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01ae34b039037d5bc97fc0614b11212f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5060846de21d4eff279cbf4a8053fe64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
7 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f4a3c52b417671d65feb68af1186d75.png)
(1)当
时,求函数
的单调区间;
(2)若函数
对![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1152fe51a6add4d6263e52829cd3c6b.png)
恒成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f4a3c52b417671d65feb68af1186d75.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df2806feb02d7c96484db00771ae757a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0021cfc9080dc8e04238773fbeeceea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1152fe51a6add4d6263e52829cd3c6b.png)
![](https://img.xkw.com/dksih/QBM/2016/1/8/1572425680715776/1572425686900736/STEM/529b3a51c64e40278b7fc920d2aae49b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2016-12-04更新
|
756次组卷
|
2卷引用:贵州省黔西南州兴义市第二高级中学2021届高三上学期期末考试数学(理)试题
8 . 已知函数
.
(1)当
时,求函数
的极值;
(2)若函数
没有零点,求实数
的取值范围.
![](https://img.xkw.com/dksih/QBM/2015/3/31/1572053551022080/1572053557108736/STEM/d93e094289bb4274bc489cd760eeb4a4.png)
(1)当
![](https://img.xkw.com/dksih/QBM/2015/3/31/1572053551022080/1572053557108736/STEM/157531f9227344f3997ebd38252f80a8.png)
![](https://img.xkw.com/dksih/QBM/2015/3/31/1572053551022080/1572053557108736/STEM/9432f2244fbf4f1a80ea2cb703804f1b.png)
(2)若函数
![](https://img.xkw.com/dksih/QBM/2015/3/31/1572053551022080/1572053557108736/STEM/23314ef6b5034c0d9351a1c342f6bff9.png)
![](https://img.xkw.com/dksih/QBM/2015/3/31/1572053551022080/1572053557108736/STEM/924c900ff9ae463fa7baf6b96fa39a67.png)
您最近一年使用:0次
解题方法
9 . 已知函数
,
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ad04b9df1032e5d2953e45d238da08d.png)
(1)证明:
;
(2)若
在
恒成立,求
的最小值..
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3c546f85a568aa9cd7985b6bfe32af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3038d4728f959a8efedc2592e4a4b5fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ad04b9df1032e5d2953e45d238da08d.png)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22e38c541dec8fce1d26886e5ef7d21f.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e5887d0b4a9197eeb67d157fa537db7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c7b69e93488fcd2a195cb9793e94fc7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13502d46b8563c54c09b29b20b3006a4.png)
您最近一年使用:0次
2014·陕西·模拟预测
名校
解题方法
10 . 已知函数
.
(1)试判断函数
的单调性;
(2)设
,求
在
上的最大值;
(3)试证明:对任意
,不等式
都成立(其中
是自然对数的底数).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb22a3be54684a8fd9c7fd21c432fca4.png)
(1)试判断函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58b140e221ddf537b8964fff8557cca0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6179ae6bab235331b4ef2a917f165ef.png)
(3)试证明:对任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cea4ac187cbb465180e89f38250b3970.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69994a493ffd50c56413463476d3cf11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/041a7c8fc017f596542c5e6ec7d1c40b.png)
您最近一年使用:0次