名校
解题方法
1 . 设函数
,
.
(1)若对任意
,都有
,求a的取值范围;
(2)设
,
.当
时,判断
,
,
是否能构成等差数列,并说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acf1b1798e07544596434f0edefac7d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d33da711e50e96568facb18cef27165.png)
(1)若对任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc3089af5f7ca5a33d44d6fac4b6ebf9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e9c599e8d420006448905acec2b8234.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a33c603b86aaa40b35cfc1aa7b8714ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cea4ac187cbb465180e89f38250b3970.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca542e78b7d77d008c9c4752afa91a55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91a61e092632bcd79745efcd586a1b9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c5dc1ec1f7c86f6b7da38bc82eff60d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4eca2ce3ec25831121e2c72cb4c8012c.png)
您最近一年使用:0次
2022-06-13更新
|
889次组卷
|
6卷引用:2022届普通高等学校招生全国统一考试模拟演练数学试试题
名校
2 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c38ebdba02014754796be1f5828de5d4.png)
(1)请讨论函数
的单调性
(2)当
时,若
恒成立,求实数
的取值范围
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c38ebdba02014754796be1f5828de5d4.png)
(1)请讨论函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b772ded0a0957d67e0083dbb139487f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59fc0c808a3858ca89ed7a9cd0967bbf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
您最近一年使用:0次
2022-06-13更新
|
1499次组卷
|
3卷引用:辽宁省实验中学2022届高三下学期考前模拟训练数学试题
名校
3 . 设函数
在
上存在导数
,对任意的
有
且在
上,
,若
,则实数
的范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ceec72ad249f0ef8750d12a473148688.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29aef458f2367b76432719f6f56275d8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee77eb9e73d51b64a43c01ff4b9cca65.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe86cace140f2c3588ab115837bbfc9e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a373dd97a67cadc83161a082930d080a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/297952137dc35b333b50a679090f90ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
解题方法
4 . 对任意
,不等式
恒成立,则正数a的最大值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/667eafa3001b616c33164f7fd0115ff8.png)
A.![]() | B.![]() | C.![]() | D.e |
您最近一年使用:0次
名校
5 . 已知函数
,且0是
的一个极值点.
(1)求
的单调区间;
(2)若
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30272911adc0a522000b1bdca05e4ab2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1c3941ab6a76bcbec574f3993be1bfb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
您最近一年使用:0次
2022-06-12更新
|
442次组卷
|
2卷引用:福建省厦门第一中学2021-2022学年高二6月适应性练习数学试题
名校
6 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/173c6c682a9e5403e49ebf0b012fdb4c.png)
(1)若对任意的
,都有
恒成立,求实数
的取值范围;
(2)设
是两个不相等的实数,且
.求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/173c6c682a9e5403e49ebf0b012fdb4c.png)
(1)若对任意的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4166972dec0aa3e8694a44eeb941a08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8fdb1f1010672e81ae36379341583a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae3baf17b5481b4318da34a543675852.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3537f598fff5e41e5ba276f3889c11b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73a916cfc21fa6402591b00d8222da1f.png)
您最近一年使用:0次
2022-06-11更新
|
3583次组卷
|
8卷引用:广东省深圳市光明区高级中学等2022届高三下学期名校联考数学试题
广东省深圳市光明区高级中学等2022届高三下学期名校联考数学试题福建省厦门外国语学校2021-2022学年高二下学期数学期末模拟试题(3)(已下线)专题6 极值点偏移问题(已下线)考向16 利用导数研究函数的极值与最值(重点)(已下线)模拟卷05(已下线)专题3-9 利用导函数研究极值点偏移问题福建省厦门市湖滨中学2022-2023学年高二下学期6月期末质量检测数学试题(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)
名校
7 . 已知函数
,
.
(1)设函数
,求函数
的单调区间;
(2)对
上任意一点
,使得
成立,求
的取值范围
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7609a219cc3fe31580045aa0c751b94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/507c3f497a7633fca2b431d785375624.png)
(1)设函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cffa662f0273f0921c1fa4727f632395.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0eb7df298a9364b36e079a61caec815c.png)
(2)对
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d47e734b17201fe992be7775714e9558.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daa18838a13fda4e45612c32cdf98b71.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
名校
8 . 已知函数
.
(1)若
在
单调,求
的取值范围.
(2)若
的图像恒在
轴上方,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/270345d10890b42ea653871a8fd66b4d.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a9cecf6ea66c797e29034ea4a53a8e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3a7882546554bed05ce522a16e9d35b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.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
9 . 已知函数
,
.
(1)求
在
处的切线方程;
(2)求证:
.
(3)当
时,
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ff6838d84b68c6f0d3b93b196d9b08d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/976581d4a974fe50f9f29d430c1289f2.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/976581d4a974fe50f9f29d430c1289f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb45f673c56a289ea78831c9237e8d20.png)
(2)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ebc6a1f625fbc259cea0decfaefa13a8.png)
(3)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58119f48aa8860923d1f13dd78a17c62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d3e75965ffc11f1e8d5d6b5c1d2f8f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
名校
10 . 已知函数
.
(1)讨论
的单调性;
(2)若
在
上恒成立,求实数a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f660171182d276734e49f2bd5159b6e8.png)
(1)讨论
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9f3845a6018e9e7cd7c528902c6afc7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5c4b27524cee9197557b528bcf536b8.png)
您最近一年使用:0次
2022-06-10更新
|
815次组卷
|
2卷引用:河南省许平汝联盟2022届高三下学期核心模拟卷(六)文科数学试题