解题方法
1 . 对于集合
,定义
且
.例如:
,则有
.已知集合
,
,其中
.
(1)若
,求
;
(2)若
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5fad679f17e2fc32639a27e6d291533.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b998f1e3675e0fa3b790c416a751af63.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/940b0bfcf526a412a941287f0801eab7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdcb91d82fdafed61000b8c1f6a30ecf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92a5da772b255e12cdd9f418a6b5f31e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/541268ac78925e9d9ce48b69d2327ad2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/893dd8ee45acc29eb5c33da4856752af.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06430886275f5ad62bcda62fce691e99.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7417ed6cc5298c88e2afbfdbc277c288.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9168274ae1d5f93647f01b4455a8d42a.png)
您最近一年使用:0次
2024·全国·模拟预测
2 . 大数据时代,需要对数据库进行检索,检索过程中有时会出现笛卡尔积现象,而笛卡尔积会产生大量的数据,对内存、计算资源都会产生巨大压力,为优化检索软件,编程人员需要了解笛卡尔积.两个集合
和
,用
中元素为第一元素,
中元素为第二元素构成有序对,所有这样的有序对组成的集合叫作
与
的笛卡儿积,又称直积,记为
.即
且
.关于任意非空集合
,下列说法一定正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8df69c6a544f62a016490b012c353ae7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7960fc8f0ea712acbe3135566034a96.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c6987f9dd9d44330dd40d466415d0a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cf3e0b675a2b6f949579e04ff50e150.png)
A.![]() | B.![]() |
C.![]() ![]() | D.![]() |
您最近一年使用:0次
解题方法
3 . 已知非空集合
且
,设
,
,则对于
的关系,下列问题正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96f1ba0a1129741502600e47bf058c98.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3fc9972460b8196e5af63a93e3330002.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca4bfc03c9779d315e5bad7b1c402d16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3cf9b288c48c73463a2f214f02b6952a.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
4 . 下面有四个命题:
①
;
②若
,则
;
③若
不属于
,则a属于
;
④若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46a70d32c64918aa4d1d9d3ce0bdbf7b.png)
其中真命题的个数为( )
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/670bb84412d41e37b3b25007ad4bfdbc.png)
②若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e9cdf2c47e6040074bb23d62dbe4ee9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af958d6c104355d6daf0d205204ec760.png)
③若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5060ad37c403f248c937c1d59af5c71.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee5fd3e52fdbad56200fcbf6dfb5e026.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee5fd3e52fdbad56200fcbf6dfb5e026.png)
④若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c808709974f2829a9139e658818cf5bc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46a70d32c64918aa4d1d9d3ce0bdbf7b.png)
其中真命题的个数为( )
A.0个 | B.1个 | C.2个 | D.3个 |
您最近一年使用:0次
2023-06-01更新
|
1475次组卷
|
6卷引用:北京名校2023届高三一轮总复习 第1章 集合与简易逻辑 1.1 集合的基本概念和基本关系
北京名校2023届高三一轮总复习 第1章 集合与简易逻辑 1.1 集合的基本概念和基本关系四川省成都市2022-2023学年高一下学期期末数学试题四川省成都市部分省重点高中2022-2023学年高一下学期期末数学试题(已下线)专题1.8 集合与常用逻辑用语全章综合测试卷(提高篇)-举一反三系列(已下线)第一章 集合与常用逻辑用语(单元测试)(能力卷)--高一数学同步精品课堂(人教B版2019必修第一册)(已下线)专题01 集合与常用逻辑用语2-寒假作业单元合订本
名校
5 . 若方程
的解集为M,则以下结论一定正确的是( )
(1)
(2)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19f2d38deb404bac480d98cbb8ad5ffe.png)
(3)
(4)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f32e79f46e0fdc429154ca8d63b88a6f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/722c46074e5da2c9ca9f69c3851eaa97.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b75ad506c86d9aaaa4cc26f0fb4f3081.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19f2d38deb404bac480d98cbb8ad5ffe.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1caf968ac305b73b1ef90206c579c89b.png)
(4)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f32e79f46e0fdc429154ca8d63b88a6f.png)
A.(1)(4) | B.(2)(4) |
C.(3)(4) | D.(1)(3)(4) |
您最近一年使用:0次
2023-04-13更新
|
790次组卷
|
3卷引用:上海市松江区2023届高三二模数学试题
解题方法
6 . 已知函数
,
.
(1)若函数
与
的图象有相同的对称轴,则实数
( )
(2)若关于x的不等式
恒成立,则实数a的取值范围是( )
(3)设关于x的不等式
的解集为M,
的解集为N,若
,则实数a的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/933ddc2a52f5f236eb1769328920b0da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/066f70c8082929eec005cca7c2d4ec4e.png)
(1)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
A.-1 | B.1 | C.-2 | D.2 |
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a71baf6217604517fd98fa97d0f55b43.png)
A.![]() | B.![]() | C.![]() | D.![]() |
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e9c599e8d420006448905acec2b8234.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1a2c01ac2a7f6ad7e03cb7a61daefab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2333f966f6ec29f0661f93d99b055cd5.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
7 . 设全集U,有以下四个关系式:
甲:A∩B=A;乙:A∪B=B;丙:
;丁:
.
如果有且只有一个不成立,则该式是( )
甲:A∩B=A;乙:A∪B=B;丙:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5184db4ecbbd6a62a3f0517c074bf080.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a90880df135fa462b4d949310e95218f.png)
如果有且只有一个不成立,则该式是( )
A.甲 | B.乙 |
C.丙 | D.丁 |
您最近一年使用:0次
名校
8 . 下列说法错误的是( )
A.已知![]() ![]() ![]() |
B.当![]() ![]() ![]() |
C.设集合![]() ![]() ![]() |
D.已知集合![]() ![]() ![]() |
您最近一年使用:0次
名校
解题方法
9 . 若
,集合
,集合
且
,现将满足条件的每一个集合
中的最小元素取出,然后将取出的所有元素相加,相加的结果记为
,那么![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f3cb8d72bb2e281b943b3b430138ef7.png)
______ ,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/447a9718a502491b47072ce013c26a2f.png)
_______________________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/894930da172c812b5183f3882d24dd59.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a4d58c16128a872739556c46fc59f5c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/caf22d7d1a965bda25168a233fb6290c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/928cd155cf20033821c58ab602111bd6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f3cb8d72bb2e281b943b3b430138ef7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/447a9718a502491b47072ce013c26a2f.png)
您最近一年使用:0次
2021-05-28更新
|
417次组卷
|
3卷引用:西南名校联盟2021届高三下学期4月高考适应性考试数学(理)试题
西南名校联盟2021届高三下学期4月高考适应性考试数学(理)试题云南师范大学附属中学2021届高三高考适应性月考卷(八)数学(理)试题(已下线)热点02 集合与常用逻辑用语-2022年高考数学【热点·重点·难点】专练(新高考专用)