名校
1 . 已知![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3641c8d650f9529642423072d8c44d58.png)
1
已知关于x的不等式
有实数解,求实数a的取值范围;
2
解不等式
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3641c8d650f9529642423072d8c44d58.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11d71379442f28c038d367d49422cf90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/987517758fad59f6f695761deb2a5ebd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a5d7f7e302d2473abef1cfe13578109.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11d71379442f28c038d367d49422cf90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/987517758fad59f6f695761deb2a5ebd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d517cc191a0c78ec1d97af58ee705b19.png)
您最近一年使用:0次
2019-04-10更新
|
670次组卷
|
3卷引用:【全国百强校】吉林省实验中学2019届高三下学期第八次月考数学(理)试题
名校
2 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27579696871a3abf8d0f90d4241640e5.png)
(1)若
,
,求不等式
的解;
(2)对任意
,
,试确定函数
的最小值
(用含
,
的代数式表示),若正数
、
满足
,则
、
分别取何值时,
有最小值,并求出此最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27579696871a3abf8d0f90d4241640e5.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03837b3769eda7f0d3804cc5ad4a6d60.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57ec4add31dd4c2d48aadbb7bd13e607.png)
(2)对任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67ca5fd57c2c2fcc3c7a574fdd1467d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49d665ed88614a7fb9c8d59fb6791c08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
您最近一年使用:0次
2019-11-15更新
|
294次组卷
|
2卷引用:上海市上海交通大学附属中学2019-2020学年高一上学期期中数学试题
名校
3 . 已知
.
(1)解关于x的不等式
;
(2)若
的解集为R,求a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82666b02093aa82ef67d16b5b19ef84a.png)
(1)解关于x的不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e799e937076aa5a7dcd51cdc0f40f6b0.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43920f5171ed31db2520ef00e4c5fc24.png)
您最近一年使用:0次
解题方法
4 . 已知函数
.
(1)当
时,解关于
的不等式
;
(2)若对任意
,都存在
,使得不等式
成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95d9c61d97927fe35270fb41363cbf8c.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2b45f8224a638bb503ccb01749cfeb1.png)
(2)若对任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec80634a6e2b2c85f845fa368b3a5969.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86ba8542fbe02e78cf3948c9abea9855.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17d095844022a8ed5fefc23b24878d20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2020-04-22更新
|
470次组卷
|
2卷引用:2020届内蒙古包头市高三第一次模拟考试 数学(理)试题
11-12高二下·江苏南京·期中
名校
5 . 已知函数
,
.
(1)若关于
的方程
只有一个实数解,求实数
的取值范围;
(2)若当
时,不等式
恒成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b7b0deaff280ebbee0f91be5acd20d6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cd3859accdcd23a5fc2de6dcbe8f97e.png)
(1)若关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f879f716fc29a649a2f4f58253dfbad.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/8d59a99dd9aee98cb9b10fa9d972d689.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2019-10-03更新
|
371次组卷
|
11卷引用:2011-2012学年江苏省南京市东山外校高二下学期期中数学试卷
(已下线)2011-2012学年江苏省南京市东山外校高二下学期期中数学试卷2016届河北省衡水中学高三上学期四调理科数学试卷2016届山西省晋中市高三上学期期末理科数学试卷2016届安徽省六安一中高三下组卷二理科数学试卷福建省闽侯第六中学2018届高三上学期期末考试文数试题福建省闽侯县第八中学2018届高三上学期期末考试数学(理)试题【全国百强校】江苏省南通市海安高级中学2018-2019学年高一3月月考数学试题江西省抚州市临川一中2019-2020届高三上学期第一次联合考试 数学(文科)试题2019年10月江西省临川第一中学高三上学期第一次联考数学(文)试题2020届重庆铜梁县第一中学高三上学期期中考试数学(文)试题江西省丰城市第九中学(日新班)2023届新高三上学期摸底考数学(理)试题
名校
6 . 已知
.
(1)证明
;
(2)若
,记
的最小值为
,解关于
的不等式
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db8f7907ae1e0b4eafc05a730ecd2109.png)
(1)证明
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd3c1788d80ea3167b3ed90996107bcc.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d05bf789a20dbfced92873a2198dfbc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db817590e99cdc0ace4df574aa873807.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/962dba16e9f5129df453497cee42266e.png)
您最近一年使用:0次
2019-05-18更新
|
291次组卷
|
4卷引用:【全国百强校】重庆南开中学2019届高三第四次教学检测考试数学(理科)试题
【全国百强校】重庆南开中学2019届高三第四次教学检测考试数学(理科)试题2019届重庆南开中学高三第四次教学质量检测数学文科试题(已下线)13高考大题综合训练[理]-《备战2020年高考精选考点专项突破题集》(已下线)13.高考大题综合训练[文] -《备战2020年高考精选考点专项突破题集》
7 . 【选修
:不等式选讲】
已知
.
(1)当
,解关于
的不等式
;
(2)当
时恒有
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a58c4ab4b9e8a2d3867554364713b999.png)
已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b31e60f49897fbd5412f52a37f9c368.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e65397f11ea8af736f38debadf420c4a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0219fc614c97450260097d8bf03051f.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d08b810a874c096f35574e5f865aa6cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9efe6ed0d1b12262d3d225437346ae91.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2018-05-02更新
|
310次组卷
|
4卷引用:2016届陕西省高三高考全真模拟(五)考试数学(理)试卷
2010·吉林·模拟预测
8 . 关于
的不等式
.(Ⅰ)当
时,解此不等式;
(Ⅱ)设函数
,当
为何值时,
恒成立?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98de3a6f6ecde4e01a1a280f8467d76d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf0086b054ef120408acac806a1b1318.png)
(Ⅱ)设函数
![](https://img.xkw.com/dksih/QBM/2012/3/6/1570789981249536/1570789987008512/STEM/a2a2e1470c4d40c68228a7686da8be97.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://img.xkw.com/dksih/QBM/2012/3/6/1570789981249536/1570789987008512/STEM/3ec2cd9a40f444c49b249701da58c1cb.png)
您最近一年使用:0次
10-11高二下·海南·期末
9 . 设
,解关于
的不等式:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/364d18c7009e307b1bea2e365d598ece.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f0b5cb2e6d6945d7f702d098b604b17.png)
您最近一年使用:0次
解题方法
10 . 已知函数
.
(1)解不等式
;
(2)当
时,不等式
恒成立,求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ed397292ea9594f3dd1ced720fbd763.png)
(1)解不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5b562ca77fa64f3ebe40e0ad49833d5.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6e2e79843faf62dde86bf858d1e0569.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd970f32e5968917123557bedb0716f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/074322fcac39d45c9a930c854cc04f63.png)
您最近一年使用:0次
2020-04-02更新
|
174次组卷
|
2卷引用:2020届湖南省株洲市高三一模数学(文)试题