名校
1 . 对于在区间
上有意义的函数
,满足对任意的
,
,有
恒成立,则称
在
上是“友好”的,否则就称
在
上是“不友好”的,现有函数
.
(1)若函数
在区间
(
)上是“友好”的,求实数
的取值范围;
(2)若关于
的方程
的解集中有且只有一个元素,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d793368a4e898695e2e8fd7f806f0db2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1da9a3430b35fe4c808f4e8b10a8e812.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6b8d01de9b635b0936cf9b539978d94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d793368a4e898695e2e8fd7f806f0db2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d793368a4e898695e2e8fd7f806f0db2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f4e4107a763b17ebb2b4e3271c1a41a2.png)
(1)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51ea5c07586de4568e5be3cdecb1e9ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c65735db704c976419788826815a7315.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)若关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e6b24b18cef83ee2db8e12d5f4053b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2018-11-15更新
|
782次组卷
|
3卷引用:重庆市第一中学校2019-2020学年高一上学期期中数学试题
名校
2 . 已知函数
.
(1)若不等式
的解集为
,求实数
的取值范围;
(2)若不等式
在区间
内恒成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bbdaff297141813399af6f71b8803e7c.png)
(1)若不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/018857ec6e498113b3b12a730d9313da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)若不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dc9ede2e55724383dd1093fc7fcdb59.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f26198b53b2b405d5467fb2dc810e36b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
名校
3 . 已知函数
,其中
.
(1)当
时,求关于
的不等式
的解集;
(2)若对任意的
,都有
,使得
成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35a819769ac87cfbfacf04675c0b69a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/def3c397a80af1fa63dc68eae853201f.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf0086b054ef120408acac806a1b1318.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3a075dce77c9a6b964a8a3fc1ee6e8c.png)
(2)若对任意的
![](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/3e63bbadc6250f7139836ede33205550.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
2018-06-01更新
|
154次组卷
|
2卷引用:【全国百强校】重庆市第一中学2017-2018学年高二下学期期中考试数学(文)试题
名校
解题方法
4 . 设命题
,命题
:关于
不等式
的解集为
.
(1)若命题
为真命题,求实数
的取值范围;
(2)若命题
或
是真命题,
且
是假命题,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a2b08c25ea0c0430dfeedf431417a9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acdcfda4b85958321f552561d9c8d767.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
(1)若命题
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
(2)若命题
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
您最近一年使用:0次
2017-12-14更新
|
881次组卷
|
6卷引用:重庆一中2017-2018学年高二上学期期中考试数学(理)试卷
名校
解题方法
5 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a035600b3aa14634286633aba0316147.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f45afcca008424dac7c89a74d56eb4f1.png)
(1)若
的解集为
,求不等式
的解集;
(2)若任意x≥3,使得f(x)<1恒成立,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a035600b3aa14634286633aba0316147.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f45afcca008424dac7c89a74d56eb4f1.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07ccc0e1e007b4f294b84f45d1e472e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5fa6dff2c57ae85f6bbc797b50cfcf1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac5d12646caa056f3d6155ef8892a269.png)
(2)若任意x≥3,使得f(x)<1恒成立,求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
您最近一年使用:0次
2016-12-05更新
|
637次组卷
|
4卷引用:重庆市万州龙驹中学2018-2019学年高二下学期期中(文)数学试题
名校
解题方法
6 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f64269125c5c997cbd03a0807f0813e.png)
.
(1)若
的解集为
或
,求不等式
的解集;
(2)若存在
使得
成立,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f64269125c5c997cbd03a0807f0813e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a083af79190de95296ab449077b4e73.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fdf7a0098d4ea8a0ad76dab74698fcb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d23609022214097bb4dd6f13cdb1eac1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db06cda05699b53d3597cfa784a10df3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0913f6f7249deb6624c1c036f681625.png)
(2)若存在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdeba90fd63c783437f22fea781b809a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2519692186961a5b2e79791e56ba23c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
您最近一年使用:0次
2016-12-04更新
|
597次组卷
|
3卷引用:2015-2016学年重庆十八中高一下期中文科数学试卷
7 . 选修4-5;不等式选讲
已知![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69ef0579a14ac8844dd0945d322045c3.png)
(1)求
的解集;
(2)若
-
恒成立,求
的取值范围.
已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69ef0579a14ac8844dd0945d322045c3.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2f55b0124d55fc34639cb17d773e342.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d569a25a8c26e7f3c27f452ed0c4c30e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92247b4636caa0792c6767cf966b360e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
您最近一年使用:0次
13-14高二下·重庆·期中
8 . 已知
.
(1)求不等式
的解集A;
(2)若不等式
对任何
恒成立,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f9e0d782af5fd2522b1654bb740d6c8.png)
(1)求不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2f7000d9103670cb5b65b0aa8be654f.png)
(2)若不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00d05b9a7a34fce3a0d6f133f774dc18.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb8adaad92594cc0e15d78238e6e9ddc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
2011·黑龙江哈尔滨·三模
名校
9 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24184c29df60b5c7cacd55e4dace7312.png)
⑴解不等式
;
⑵若不等式
的解集为空集,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24184c29df60b5c7cacd55e4dace7312.png)
⑴解不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8b33cc5994177b42becfac463fd3486.png)
⑵若不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b485d07a318accbed1c13704fc3291cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2016-12-02更新
|
1309次组卷
|
6卷引用:重庆市第一中学2016-2017学年高二下学期期中考试数学(文)试题
重庆市第一中学2016-2017学年高二下学期期中考试数学(文)试题广西南宁市第三中学2019-2020学年高二期中段考数学(文)试题广西南宁市第三中学2019-2020学年高二期中段考数学(理)试题(已下线)2011届黑龙江省哈尔滨市第三中学高三第三次模拟理科数学试题(已下线)2012届河北省衡水中学高三上学期期末考试文科数学(已下线)2013届吉林省四校联合体高三第一次诊断性测试理科数学试卷