名校
1 . 给出下列四个命题:①命题“
”为真,则实数
的范围是
;②设
,则“
”是“
”的充要条件;③关于
的方程
,存在实数
,使得方程恰有5个不同的实根;④函数
的定义域为D,若满足:(1)
在D内是单调函数;(2)存在
,使得
在
上的值域为
,那么就称函数
为“梦想函数”.若函数
是“梦想函数”,则t的取值范围是
;其中真命题有_________ (填序号)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8983faa5adf0008b8d69c64cf3518f44.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/389d79319d0694c3d75bbaf19d0a8581.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73254f32b6da29ecc32df2e9f87a4c97.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6a46e678bf9d2df5ad4c782b3dc22f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fc548fd3964424e7745160d89488326.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1160588efe90b4c33978434210b58dcf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/efdc508908c6e24de51b57a108468dcd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22dc1d011c26d664403778fe3e244043.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db527571cfd256c515424c6f9d114284.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5631e28a875d9dae435bea729b2633e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a4cc25791fb5a022347db7d99def82f.png)
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2 . 已知命题“
”为真命题,记实数m的取值为集合A.
(1)求集合A;
(2)设集合
,若
是
的必要不充分条件,求实数a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16322d6a3caf7e0e50436d93c41a141e.png)
(1)求集合A;
(2)设集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cf4102f92bf8cf5cee370c3486532a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ed006b944ea64f970fee46e2f558467.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e23af61cd402b3789af2401bde9cbefe.png)
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2022-11-14更新
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2卷引用:四川省成都市2023-2024学年高一上学期期末数学练习卷(二)
名校
3 . 已知命题p:
,
,命题q:
,y满足
,
.
(1)若q为真命题,求m的取值范围.
(2)判断
是q的必要非充分条件,求a的范围
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/363dacce15a5e4babd14fc98490dc79f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8df205ea47136f5f5782aa1db718f136.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/751e7f08dd883cecf0dd5d0641997a87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/55f936fa1b3476cc6d66aaf996b930d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/907eb97dcbd2479762ad3f4e816afc2d.png)
(1)若q为真命题,求m的取值范围.
(2)判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1af1012edc102c3a0e5ebeee99175be6.png)
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解题方法
4 . 已知
.
(1)设
,若关于
的不等式
的解集为
,且
的充分不必要条件是
,求
的取值范围;
(2)方程
有两个实数根
,
①若
均大于
,试求
的取值范围;
②若
,求实数
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d396d55c8608b764a6d59ecc123990a.png)
(1)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eace589088fbc565184fd9d28632618f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78394952b99bfd9ac4c437673d27fdfc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ed006b944ea64f970fee46e2f558467.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e23af61cd402b3789af2401bde9cbefe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2a7df955fc17e92fd86302f8c34664a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ce7ae90d808f05e86ea063238e4b2f9.png)
①若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ce7ae90d808f05e86ea063238e4b2f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c95b6be4554f03bf496092f1acdfbb89.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
②若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71189f1e9be8b9c4b18a62d29d0f1f05.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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9卷引用:四川省眉山市仁寿第一中学南校区2023-2024学年高一新生上学期入学考试数学试题
四川省眉山市仁寿第一中学南校区2023-2024学年高一新生上学期入学考试数学试题重庆市2023-2024学年高一上学期入学考试模拟数学试题(已下线)重难点03 从集合的角度理解充分条件、必要条件、充要条件(2)-【帮课堂】(苏教版2019必修第一册)(已下线)高一上学期期中考试解答题压轴题50题专练-举一反三系列湖南省郴州市嘉禾县第六中学2023-2024学年高一上学期第一次月考数学试题黑龙江省哈尔滨市哈尔滨师范大学附属中学2023-2024学年高一上学期10月月考数学试题辽宁省六校协作体2023-2024学年高一上学期10月联考数学试题重庆市荣昌中学校2023-2024学年高一上学期期中数学试题(已下线)高一数学上学期期中考试模拟卷-【巅峰课堂】热点题型归纳与培优练
名校
解题方法
5 . 已知关于
的不等式
的解集为
,
:不等式
的解集,
:
,且
是
的一个必要不充分条件,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4152a3a03a66a5d7612d098d5bbc1885.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e970c7f3475d3fbfa01d06a3b43dd4e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1654177ce5e801aa99ad3c822505229.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30cb9cf484216376d95e411b44a460d2.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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解题方法
6 . 下列命题正确的是( )
A.“![]() ![]() |
B.关于x的不等式![]() ![]() ![]() ![]() ![]() |
C.不等式![]() ![]() ![]() |
D.已知![]() ![]() ![]() |
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7 . 已知集合
,不等式
的解集为集合B.
(1)当时
,求
﹔
(2)设命题p:
,命题q:
,若p是q的充分不必要条件,求实数a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/904c1952a46c4ff11bf41ec24222bf7f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/74bc241337d7e3929ef499e6a366a5f4.png)
(1)当时
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fdbfa7a63fdf5717d40c8c9a73ec160.png)
(2)设命题p:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ed006b944ea64f970fee46e2f558467.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e23af61cd402b3789af2401bde9cbefe.png)
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3卷引用:四川省成都市蓉城高中联盟2022-2023学年高一上期期末考试数学试题
解题方法
8 . 已知关于x的不等式
的解集为P,不等式
的解集为Q.
(1)当
时,求集合P;
(2)若“
”是“
”的必要不充分条件,求实数a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbc3c454acdc5004e3dc253ae90f75bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ad81b25ca721ce7b1226e00c127f7e5.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
(2)若“
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3591abc88bdadaf5fee459f4620fbd47.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/320a7c616f6f7207a0a38bb707ac2205.png)
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解题方法
9 . 请在①充分不必要条件,②必要不充分条件这两个条件中任选一个,补充在下面的问题(2)中.若问题(2)中的实数
存在,求出
的取值范围;若不存在,说明理由.已知全集
,集合
是不等式
的解集,集合
是函数
在
上的值域.
(1)求集合
;
(2)若
是
成立的______条件,判断实数
是否存在.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc0dc8098ad6f31bdd87771ca9cfa33a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d587eaa5fb8e5e51d75aca61658005b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d86667ae8cc7f37366f0c539cb189692.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2aa311daf7a73f8c45de4462f9d92b6.png)
(1)求集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ed006b944ea64f970fee46e2f558467.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e23af61cd402b3789af2401bde9cbefe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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3卷引用:四川省眉山市彭山区第一中学2022-2023学年高一上学期期末考试数学试题
10 . 不等式
的解集为集合
,不等式
的解集为集合
.
(1)求集合
;
(2)设条件
,条件
,若
是
成立的充分不必要条件,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16dfe6b57fbf2037c56bcae83ca9b378.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/067e4a0b69d08c78c2617e560911b3e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
(1)求集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
(2)设条件
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c7ab45636a934ba2d6ff7bf4be60653.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/343f8257607ab822e8cb506010518eae.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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