名校
解题方法
1 . 设集合
,
,则
,则实数a的取值范围为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8a6a9c23abe51588bafed01c973cbe2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3acc772ee28146140a5ebe794a4f1ed1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d7f14bf7f60fe19b509223284455f05.png)
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2024-01-20更新
|
1525次组卷
|
6卷引用:黄金卷03(2024新题型)
(已下线)黄金卷03(2024新题型)上海市新中高级中学2024届高三上学期10月阶段检测数学试题(已下线)【一题多变】集合含参 关系运算(已下线)考点2 集合运算 --2024届高考数学考点总动员【练】2024届河北省承德市部分高中二模数学试题河北省衡水市部分学校2024届高三下学期二模考试数学试题
名校
2 . 对于
两个集合,满足
.且
中元素个数不属于
中元素个数不属于
.求满足题意的不同的
的个数为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fa47a838e70e3c6a5ae063e198b0d4e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
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名校
3 . 设
是一个数集,且至少含有两个数,若对任意
,都有
、
、
、
(除数
)则称数集
是一个数域.例如有理数集
是数域;数集
也是数域.下列命题是真命题的是为______ .
① 整数集是数域 ② 若有理数集
,则数集
必为数域
③ 数域必为无限集 ④ 存在无穷多个数域
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/108f2c15d517c10f4715643f991277b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20d6fc9b90f370fbb27552876b650f8f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9f2416d1f75a45a314331146550832e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18f0281e6bbdbe08beeccb55adf84536.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e05f2c2a07c4ff99845b93abe2a105b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b03b011f69dfc5262a3d82f64676739b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6e5c2c25cacc0e1756ce11888dac629.png)
① 整数集是数域 ② 若有理数集
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/765a161e3f4a03a2aa97703b3b50eb44.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
③ 数域必为无限集 ④ 存在无穷多个数域
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名校
4 . 对于非空集合
,定义
,若
,
,且存在
,
,则实数
的取值范围是__________________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b1e3e7de52e74cff6575ab590a8714d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1691cf473c5fef5f79b551293fcc3fac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fdfde2a8158e3aa5891f4abd770439e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb63478132d4c1fef3c17e591919da83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/beb584561ea4ff98fba21b057eaba28a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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名校
5 . 若集合
,
,且
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95e60375f97ff7854f4d3a8b1108d2e3.png)
___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7b3248ce32313e23cbd5392b8fe3fd2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a2e5ff21ee2fa20dc88e1f4d867894a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5301f986a175e6bf1ef77888304cc1fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95e60375f97ff7854f4d3a8b1108d2e3.png)
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2023-04-13更新
|
615次组卷
|
4卷引用:江西省新八校2024届高三第二次联考数学试题
名校
6 . 已知集合
,集合
,则集合
的真子集的个数为__________ (填写数字)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0db947e50e5dde6bcf94b57c81290f62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dada173e0c1e17a98693f862e90be27.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3744e71abf4b43e128eabea9181b712.png)
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2023-08-22更新
|
1742次组卷
|
4卷引用:江西省新余市第一中学2023-2024学年高一开学考试数学试题
名校
解题方法
7 . 若集合
,
,且
,则实数
的取值范围为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3bb8ae0fee785561e3437d51c0688a91.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d17260ae825029ce30e74a0f176d290.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7caba77ac91f5e22465a2dbd6f6a8558.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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2022-12-16更新
|
619次组卷
|
4卷引用:江西省南昌市东湖区江西师大附中2023-2024学年高一上学期期中数学试题
8 . 设
是非空数集,若对任意
,都有
、
,则称
具有性质
,给出以下命题:
①若
具有性质
,则
可以是有限集;
②若
具有性质
,且
,则
具有性质
;
③若
、
具有性质
,且
,则
具有性质
;
④若
、
具有性质
,则
具有性质
.
其中所有真命题的序号是_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e13a814f8e081078dcf3788177affcd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/957d41dbe52b49c3a7339e3519a3fe84.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ae4f0ccdfc1206d809e581449d0452e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
①若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
②若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f20c225a51cdde922ccae6bd01d970cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49c6009ab1bad0e053bc7e11b868cac6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
③若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a18722354086c42e62334983fc50eb6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd3b9e816b14051f785aa5aae72b8eed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a8543bb9be52b25cf5be0a39110c9e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b76d26b78e63683dfacf10d3da6d74d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
④若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a18722354086c42e62334983fc50eb6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd3b9e816b14051f785aa5aae72b8eed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f2646f41226f24960a6186dc7860ef45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
其中所有真命题的序号是
您最近一年使用:0次
2022-12-05更新
|
367次组卷
|
2卷引用:江西省宁冈中学2023届高三上学期12月月考数学(理)试题
名校
9 . 已知函数
,
,若对于任意的
,总存在
,使得
或
,则实数
的取值范围是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8ca7855c40a4fa448ab5824dae6044c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07089a368058126f0700c15bf5c4fa69.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dcd9218a657b17654c5d757a6f7dee9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f07ad90ca228230b03f12eb48ee0c1d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b42c7c92c753d7f803ee7e7ceec59db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b69d3e7565b563281b16356e2da104e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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2022-10-27更新
|
586次组卷
|
4卷引用:江西省莲花中学2022-2023学年高一上学期期中考试数学试题
解题方法
10 . 已知集合
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07b6f441c13910c61d8ceeff0083ad81.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/708071441f00fe7e73a64f624ebf7bd4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9db60c4147693eb830f447fdfac9d4f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07b6f441c13910c61d8ceeff0083ad81.png)
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