名校
解题方法
1 . 已知命题:“
,使得不等式
成立”是真命题,设实数
取值的集合为
.
(1)求集合
;
(2)设不等式
的解集为
,若“
”是“
”的充分条件,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/127031e9e1f5534ba2cd41aab1c0c5fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4d3ca913e1d3670b065399136e5ed9c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(1)求集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(2)设不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3983d8f217b054030a02903d436310e4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.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)
您最近一年使用:0次
解题方法
2 . 已知不等式
的解集为
.
(1)求不等式
的解集
;
(2)设非空集合
,若
是
的充分不必要条件,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8023e1902803a7939d2aa32ba9e2d44f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1843f4648d7cd79a1573abea5c9470fa.png)
(1)求不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f1c8f0836b1e3ba81f5371855a6365f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
(2)设非空集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff05221830dcbb8141bceb8ded58e43f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c8647b00cc8c8f35555c7d78cf2812c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cedd044d22a32a7014b70d5fee694051.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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2024-01-26更新
|
120次组卷
|
2卷引用:云南省保山市腾冲市第八中学2023-2024学年高一下学期开学考试数学试题
名校
解题方法
3 . 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)
您最近一年使用:0次
2023-09-06更新
|
1598次组卷
|
9卷引用:重庆市2023-2024学年高一上学期入学考试模拟数学试题
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(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
4 . 已知命题:“
,都有不等式
成立”是真命题.
(1)求实数
的取值集合
;
(2)设不等式
的解集为
,若
是
的充分条件,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cd474084de48472cd61eee4a34cf2cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0f3011c41b8f128ccb829a9ad13d676.png)
(1)求实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(2)设不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd18e3c3dbddfecb50bfd8124103d024.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.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)
您最近一年使用:0次
2023-04-01更新
|
1271次组卷
|
8卷引用:江苏省镇江市扬中市第二高级中学2023-2024学年高一下学期期初检测数学试题
解题方法
5 . 已知函数
的定义域为
,关于
的不等式
的解集为
.
(1)当
时,求
;
(2)若
是
的充分不必要条件,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9fe67c2f83a94fbc1f9935089da38ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d24c581a6bc721ee5867acbca28e6315.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36e15cbd7c42d7b15d7ba8d2b28ab8df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c289f6f7a7eb8b01f71461d1e28f646.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acfc595518cf752e1c7903dfff93dbda.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ca06304795e9c2c1fd0b4a52eb8d5b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2023-02-10更新
|
186次组卷
|
2卷引用:河南省信阳市2022-2023学年高一下学期阶段性测试(开学考)数学试题
名校
解题方法
6 . 在①函数
的定义域为集合B,②不等式
的解集为B这两个条件中任选一个,补充在下面的问题中,并解决该问题.
问题:设全集
,_____.
(1)当
,求
;
(2)若“
”是“
”的充分条件,求
的取值范围.
注:如果选择多个条件分别解答,按第一个解答计分.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/762c6ea8a2e956c9ff6fa1ccc93863cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64eee39ec6e6109772cf17e10498faaa.png)
问题:设全集
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b59c7ff86aab1b930d57d73a655961e6.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69a2904569fe6b965cf43b793519a4eb.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/0a6936d370d6a238a608ca56f87198de.png)
注:如果选择多个条件分别解答,按第一个解答计分.
您最近一年使用:0次
2022-11-26更新
|
177次组卷
|
3卷引用:安徽省阜阳市颍上第一中学2022-2023学年高一下学期开学考试数学试题
名校
7 . 已知集合
是函数
的定义域,集合
是不等式
的解集.
:
,
:
.
(1)若
,求
的取值范围;
(2)若
:
,且
是
的充分不必要条件,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0335a0f23018fa2dfa4ef309cf567f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9257f087ab968cbdde67f301e916c5f6.png)
![](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)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dea9a4259cca10c1f5af28e621ebafd6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11bc05f41215f9894e11d1df0465751a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7848c89302a41e9576530313fc3e61b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11bc05f41215f9894e11d1df0465751a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2021-09-13更新
|
251次组卷
|
2卷引用:河北省沧州市第一中学2020-2021学年高一下学期开学测试数学试题
名校
8 . 已知命题:“
x∈{x|-1≤x≤1},都有不等式x2-x-m<0成立”是真命题.
(1)求实数m的取值集合B;
(2)设不等式x2-(4a+2)x+3a2+6a<0的解集为A,若x∈A是x∈B的充分不必要条件,求实数a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49dac463bbb7375dbf8e2246f9a6f0d9.png)
(1)求实数m的取值集合B;
(2)设不等式x2-(4a+2)x+3a2+6a<0的解集为A,若x∈A是x∈B的充分不必要条件,求实数a的取值范围.
您最近一年使用:0次
2020-11-23更新
|
211次组卷
|
3卷引用:湖南省株洲市第二中学2022-2023学年高一上学期入学考试数学试题(A卷)