名校
解题方法
1 . 已知
.
(1)当
时,解不等式
;
(2)若关于x的方程
的解集中恰好有一个元素,求实数a的值;
(3)若对任意
,函数
在区间
上总有意义,且最大值与最小值的差不小于2,求a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75f782ac135ebb68ffe809837006c8f6.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d752d8db8a05b3ec7312f6ac8b64a07.png)
(2)若关于x的方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3b783ec4871b338c9612cbc700694e7.png)
(3)若对任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89e6185447373cdf38c28ba73415637c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c82dca4a0e082b5cbdb1beb6f4d1e2f1.png)
您最近一年使用:0次
2023-02-03更新
|
1125次组卷
|
8卷引用:上海市实验学校2022-2023学年高一上学期期末数学试题
上海市实验学校2022-2023学年高一上学期期末数学试题四川省南充市高坪区白塔中学2022-2023学年高一下学期5月月考数学试题(已下线)第4章 幂函数、指数函数与对数函数单元复习+热考题型-同步精品课堂(沪教版2020必修第一册)(已下线)第五章 函数的概念、性质及应用(压轴必刷30题9种题型专项训练)-【满分全攻略】(沪教版2020必修第一册)(已下线)期末真题必刷压轴60题(10个考点专练)-【满分全攻略】(沪教版2020必修第一册)(已下线)期末真题必刷压轴60题(22个考点专练)-【满分全攻略】(人教A版2019必修第一册)(已下线)高一数学上学第三次月考(12月)模拟卷-【巅峰课堂】题型归纳与培优练(已下线)第四章 幂函数、指数函数与对数函数全章复习-【倍速学习法】(沪教版2020必修第一册)
名校
解题方法
2 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
,
(1)设
,解关于
的不等式
;
(2)当
时,求函数
的最大值;
(3)若对任意的
,都有
恒成立,求正实数
的取值范围
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3537fd5a8075d79abefb13c21a5243e3.png)
(1)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/914c67ddd60c47e91783929c8bdf8ba8.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/047056c99b39c70fa40d3c8178e5b631.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a4f0bac314c6e6d01a4cf024da3b0f9.png)
(3)若对任意的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ca66412bfd2bd11caa6af63786278a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f2a8a872259fa4d5801d2ff110314944.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
您最近一年使用:0次
名校
解题方法
3 . 已知定义在
的函数
满足:①对
,
,
;②当
时,
;③
.
(1)求
,判断并证明
的单调性;
(2)若
,使得
,对
成立,求实数
的取值范围;
(3)解关于
的不等式
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df6593a700bf3e89107556454666b787.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95cccdff49c3efe6e7a7dbbf69db9319.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e6f5d45adf0314f93a495f037109bbd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c2e0bb6d63b7bcaee92a470d58cc399.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91288f3376f00e3e4e37376c14f5c81d.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e38fffbc7ab9882480f4faa72390e23.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/626d21f09396d90862704dcf2462d885.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b067cd7b69a4a915168fdc8bad6238f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f177df872ee385ddb95625c535f20e5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(3)解关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2ffe3be33913e930cbbc9f48b7c37bb.png)
您最近一年使用:0次
2022-11-17更新
|
1321次组卷
|
6卷引用:福建省泉州市第七中学2022-2023学年高一上学期期中考试数学试题
福建省泉州市第七中学2022-2023学年高一上学期期中考试数学试题江苏省南通市海安高级中学2023-2024学年高一上学期期中数学试题(已下线)专题07 函数恒成立等综合大题归类福建省宁德衡水育才中学2022-2023学年高一上学期1月期末考试数学试题(已下线)高一上学期期末数学试卷(提高篇)-举一反三系列(已下线)高一上学期期末考试解答题压轴题50题专练-举一反三系列
名校
4 . 已知函数
,不等式
对
恒成立.
(1)求函数
的极值和函数
的图象在点
处的切线方程;
(2)求实数
的取值的集合
;
(3)设
,函数
,
,其中
为自然对数的底数,若关于
的不等式
至少有一个解
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9627dad36db7d25edad5e4391db232e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fdab6cdeadd4f883f1fbd15653d8a649.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/966b60302d80d8613675bb3dd5c03164.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6a4df880ff8c0322708ca3048aa665c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6a4df880ff8c0322708ca3048aa665c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5bd9af9d8560a40baa4f081ddcf45452.png)
(2)求实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
(3)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b4bb5aa475fe2019eb6fa89637738ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15a2191c6a5f97bf2a1bbd536a5c9581.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1aa6018802b084afcd52baac82aa5a0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/168b3e4b1d6f04226fa2687a72a268b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58345bdc3db5c7f1e6b764985bafd6af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/845dc9e844467074bb2cf8bb95566206.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
2018-12-21更新
|
787次组卷
|
2卷引用:【校级联考】湖北省黄冈中学等八校2019届高三第一次(12月)联考数学理试题
2010·江苏盐城·三模
5 . 已知函数,
.
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e48d083295a18dbf2ba261145bd37fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)若当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4166972dec0aa3e8694a44eeb941a08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/447d6f62c09c1d05346fd16a24159f6e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(3)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fe958fdf039b2e2c47d685b7b5bb0ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7703152796963fdc1696ebf3c2f70272.png)
您最近一年使用:0次
6 . 已知函数
,
.
(1)写出
的单调区间,并用单调性的定义证明;
(2)若
,解关于
的不等式
;
(3)证明:
恰有两个零点m,
,且
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0676c35e842a3a86d3b752cae5ca0576.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
(1)写出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e0a1faf66cdc3558d05205fd8f5187d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/018857ec6e498113b3b12a730d9313da.png)
(3)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3484588665d34c47ac3d2ef5c7ef5f25.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9947fdb8b6b390de995711ef15d82e70.png)
您最近一年使用:0次
7 . 若关于
的不等式
的解集中恰有2个整数,则实数
的取值范围为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ef7e269b0537e5aa743d0b4875d43eb.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
8 . 已知函数
.
(1)当
,
时,若“
,
”为真命题,求实数a的取值范围;
(2)若
,
,解关于x的不等式
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a90385c676848de67293e3ed6bc000fe.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03837b3769eda7f0d3804cc5ad4a6d60.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/239ea0e903fbb4c8ce04133b9969578c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8645952ea14b25443f411d39bdec641e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2a7df955fc17e92fd86302f8c34664a.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50532602bcd530a2e8ec373949a80f2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e768f6d07a30c490a1011a8256548bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a57458464618fcf619375a93d3c66d69.png)
您最近一年使用:0次
2022-10-31更新
|
901次组卷
|
4卷引用:四川省内江市资中县第二中学2022-2023学年高一上学期10月月考数学试题
名校
9 . 已知不等式
的解集中仅有2个整数,则实数k的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59d7597dbf91614953e244745d3879f4.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2022-05-27更新
|
1856次组卷
|
4卷引用:浙江省绍兴一中2022届高三下学期5月高考适应性考试数学试题
浙江省绍兴一中2022届高三下学期5月高考适应性考试数学试题辽宁省沈阳市东北育才学校科学高中部2022-2023学年高三上学期第一次模拟考试数学科试题(已下线)专题3-1 切线、公切线及切线法应用-3(已下线)专题06 函数与导数常见经典压轴小题归类(练习)-1
2022·上海浦东新·模拟预测
名校
解题方法
10 . 已知定义域为
的函数
.当
时,若
(
,
)是增函数,则称
是一个“
函数”.
(1)判断函数
(
)是否为
函数,并说明理由;
(2)若定义域为
的
函数
满足
,解关于
的不等式
;
(3)设
是满足下列条件的定义域为
的函数
组成的集合:①对任意
,
都是
函数;②
,
. 若
对一切
和所有
成立,求实数
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24600bfcfb91c661eb9d237956e011ba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d0a5af03cc59bf58c1385988a746668.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e02cab1add26335b3cb43d5b54c7c853.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3cd5f68f8223717c5f9e7a35da919f60.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5707b77c17eca36e53457fdbc7912ae.png)
(1)判断函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25b0cf56d1d3347f1301e42197259c9c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4166972dec0aa3e8694a44eeb941a08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a59df0f69cdcb8bbd1e7369d3b730ab6.png)
(2)若定义域为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72dfa26de75e699e91401e1c7769db70.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78db8978ef52545c2d1effc0f52b7f2a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e8528f8c2cefedbaedb13cd43540357.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8562a7044c527888e2dd7fa42feda7e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8321b2ac0cb0a0d6aa579dcbc9578ec.png)
(3)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bac532cbc6695639c3816e49c809aed2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2288a34a490fd0c8f4d566959a1e97b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2972af8c65701183de194c358b83256c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7576241e80f3fdd887fed12ebb5d2273.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16a824bb87d715617e270c800204d7e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f01d67fd2a155c3dd322dc971370a4bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3ae7943f38c810776e3dab3a8587f42.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa10bec00d5ea02234be29a9fd92a647.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24a57996290794e082b21d8f1dfc322a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
2022-07-05更新
|
1749次组卷
|
8卷引用:上海市华东师范大学第二附属中学2022届高三考前模拟数学试题
(已下线)上海市华东师范大学第二附属中学2022届高三考前模拟数学试题(已下线)考向10函数与导数(重点)-2上海市行知中学2023届高三上学期10月月考数学试题上海市曹杨第二中学2023届高三上学期12月月考数学试题广东省广州市华附2023-2024学年高一上学期期中数学试题(已下线)第三章 函数的概念与性质单元测试基础卷-人教A版(2019)必修第一册2024届高三新高考改革数学适应性练习(九省联考题型)广东省茂名市电白区第一中学2023-2024学年高一下学期4月月考数学试题