1 . 已知不等式
,集合
.
(1)求不等式的解集
;
(2)若“
”是“
”的充分不必要条件,求实数m的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b355743c6d9ec6e162fa2cd85b01bda4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7509f560710f2ef440b04a55581f71f1.png)
(1)求不等式的解集
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(2)若“
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e23af61cd402b3789af2401bde9cbefe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ed006b944ea64f970fee46e2f558467.png)
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解题方法
2 . 已知集合
,集合
.
(1)当
时,求
、
;
(2)若
,求实数a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c43eb123e168ad94387f961f14e8da47.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff6ba535d06c13bd3a4d38c750cbc2ba.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b108ab31cc093f03cf48ad65429889e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3744e71abf4b43e128eabea9181b712.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0532b84c7eb80b373f3ff3f53c7c4a46.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b05d2be27e8f53e4de3071846dffb41.png)
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2021-11-10更新
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3卷引用:天津市第一百中学2021-2022学年高一上学期第一次月考数学试题
名校
3 . 已知集合
,
,
,
(1)求
;
(2)求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac2e77583cf3157181cfa89c03511555.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7914a52ebda31e6ba4e9cb500ef27690.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a64dc61989ca50b9ee19d835c4ed268.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fdbfa7a63fdf5717d40c8c9a73ec160.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3723365e0f77b2746bad84ae47dcaaeb.png)
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2022-01-12更新
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7卷引用:天津市两校2021-2022学年高一上学期期中联考数学试题
解题方法
4 . 已知全集
,集合
.
(1)当m=3时,求
与
;
(2)若
,求实数m的取值范围;
(3)若
,求实数m的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/860ebb6f76cd3cb9a265dfc233002a13.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b0cc850bfcc9fda6acb02ba1201283c.png)
(1)当m=3时,求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fdbfa7a63fdf5717d40c8c9a73ec160.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af09495d81ee34290ead354fd05cdafe.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b76d9080172609503a3daa3e245b80b.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b05d2be27e8f53e4de3071846dffb41.png)
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解题方法
5 . 设
:实数
满足
,
:实数
满足
.
(1)若
,且
,
都为真命题,求实数
的取值范围;
(2)若其中
且
是
的充分不必要条件,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ebff6619f0334a3494d94c6cacf2f2ac.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/e131db7391bc2b6baaccaca285ab64ae.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.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/81dea63b8ce3e51adf66cf7b9982a248.png)
(2)若其中
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.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/0a6936d370d6a238a608ca56f87198de.png)
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2021-08-01更新
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2卷引用:天津市静文高级中学2021-2022学年高一上学期第一次月考数学试题
6 . (1)求不等式
的解集(用集合或区间表示);
(2)求不等式
的解集(用集合或区间表示).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de8bbf4de40e5d4f72a2fe62ff10c31f.png)
(2)求不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e131db7391bc2b6baaccaca285ab64ae.png)
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7 . 设集合
,集合
.
(1)若
,求
;
(2)设命题
:
,命题
:
,若
是
成立的必要不充分条件,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4005b6bdc604d2af77df38606522d90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01b73f0d50fa1b4a4d71a63f63b86da8.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e65397f11ea8af736f38debadf420c4a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3744e71abf4b43e128eabea9181b712.png)
(2)设命题
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ed006b944ea64f970fee46e2f558467.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e23af61cd402b3789af2401bde9cbefe.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/0a6936d370d6a238a608ca56f87198de.png)
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2020-11-03更新
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1378次组卷
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23卷引用:天津市第九十五中学2019-2020学年高二下学期3月线上测试数学试题
天津市第九十五中学2019-2020学年高二下学期3月线上测试数学试题天津市红桥区2016-2017学年高二下学期期末文科数学试题广东省深圳市高级中学2019-2020学年高二下学期期中数学试题黑龙江省鹤岗市第一中学2019-2020学年高二下学期期末考试数学(文)试题(已下线)第4节充分条件与必要条件-2020-2021学年高一数学课时同步练(新人教A版必修第一册)宁夏银川市宁夏大学附属中学2019-2020学年高二下学期期末考试数学(文科)试卷湖南省长沙市雅礼中学2020-2021学年高一上学期第一次月考数学试题福建省莆田市第二中学2020-2021学年高一10月 数学阶段性检测福建省平潭县新世纪学校2020-2021学年高一上学期第一次月考数学试题(A卷)云南省昆明市第一中学2020—2021学年度高一上学期期中考试试题安徽省安庆市怀宁中学2020-2021学年高一上学期第一次质量检测数学试题长春市东北师大附中2020-2021学年上学期期中试卷高一数学试题黑龙江省大庆铁人中学2020-2021学年高二下学期期末考试数学(文)试题陕西省宝鸡市金台区2020-2021学年高二下学期期末文科数学试题江苏省盐城市上冈高级中学2021-2022学年高三(实验班)上学期第一次学情检测数学试题北京市首师大附中2020-2021学年高一上学期期中数学试题湖南省长沙市长郡湘府中学2021-2022学年高一上学期第一次月考数学试题北京市首都师范大学附属中学2020-2021学年高一上学期期中数学试题云南省峨山彝族自治县第一中学2021-2022学年高一上学期期中考试数学试题云南省昆明市第八中学2021-2022学年高一上学期期中考试数学试题黑龙江省齐齐哈尔市八校联合体2022-2023学年高一上学期期中考试数学试题广东省湛江市雷州市白沙中学2022-2023学年高一上学期第二次月考数学试题山东省临沂市莒南县2023-2024学年高一上学期期中学业质量检测数学试题
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8 . 解不等式:
(1)(x+2)(3-x)>4
(2)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d69675dbc4b87bf0158bb33d53b31da1.png)
(3)
(1)(x+2)(3-x)>4
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d69675dbc4b87bf0158bb33d53b31da1.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e26a4f4c6aa79ec0f279ffc35bea76ae.png)
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2020-10-15更新
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2卷引用:天津市第二十五中学2020-2021学年高一上学期10月第一次月考试题
9 . 已如命题p:
;命题q:
(
),若
是
的必要不充分条件,求实数m的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/753c9c98a20cb703966a5391bfeff214.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eae04683da379c1403270ac047f91ac9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58b140e221ddf537b8964fff8557cca0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ffc1bb9d53a27d484396ad74d6a26e0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e26b38e357c7d985656ba7bb3c794a5.png)
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10 . 解下列不等式.
(1)若方程
有两个实根
和
,求不等式
的解集;
(2)
;
(3)
.
(1)若方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd07d78c29abfe7701cfb942716e96f8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be8a07e7db279ff0ad645953e7952033.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b794ba6ec85e817c86b7081be1b3208f.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9dbc32be126805751d566274e0d88f81.png)
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