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1 . 设集合
{
为两个非零向量可能的夹角},集合
{
为两条异面直线可能的夹角},则下列说法错误的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5f1e5d29de6e4d72bfed62d9c14dde5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65efd7cc077f9728b0ca770d8c1f36ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1f9fabbbe61a759e52ec975215e2e7c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80a1db61ca5983e25040e76017e00e95.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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24-25高一上·全国·课后作业
解题方法
2 . 填空:(1)被9除余2的所有整数组成的集合可表示为______ ;
(2)不等式组
的解集为A,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/efc2ddf695c270d11bda83afcf9982e9.png)
______ ;
(3)已知集合
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a95ecdb34ced00248d02a700d3c8af07.png)
______ ;
(4)满足
的集合B的个数是______ ;
(5)已知集合
或
,
,则
与
的关系是______ .
(2)不等式组
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42685244fca608665a87e2f10b8a322e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/efc2ddf695c270d11bda83afcf9982e9.png)
(3)已知集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef257e2a11673facf09edaa806da69d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba26e7cc7485c6d62ab40aa704485387.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a95ecdb34ced00248d02a700d3c8af07.png)
(4)满足
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40c682336d9b7ef46430c4970f52b27e.png)
(5)已知集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73ca8236c89d9cd1aeda40a6e6ed70ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d49f1b5bc97211d6feaa1b6538ec50c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dfe672a0a9589b8290ac05cfaaac8e72.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afdff52c0a2b46e0077fa82a17806bae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4150f7b0bd8bc03f856c4ac563507ce.png)
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3 . 下面命题正确的是( )
A.若集合M,N是全集U的两个非空子集,且![]() ![]() |
B.若![]() ![]() |
C.函数![]() ![]() |
D.设![]() ![]() ![]() ![]() |
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名校
4 . 下列说法正确的是( )
A.![]() |
B.集合![]() |
C. ![]() |
D.若全集![]() ![]() ![]() ![]() |
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2023-10-09更新
|
289次组卷
|
5卷引用:湖南省株洲市攸县第三中学2023-2024学年高一上学期第一次质量检测数学试题
5 . 在集合的运算中,一个集合与它在全集中的补集是一一对应的,形成了“集合对”,这种配对方式在解决集合问题时经常用到.现全集
中含有
个元素.对于集合
的
个互不相同的子集
,它们两两的交集都不是空集,且
的其他子集至少与
中的一个的交集为空集,那么![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd707b69a11f8de5566f23c1a2a9ff5a.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b52b4f24969673c863b5aff4fb6751ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d0b71b8d2c183154221f717ce09077b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b52b4f24969673c863b5aff4fb6751ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7a1b67cba05008065719a2cdfe406ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b52b4f24969673c863b5aff4fb6751ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7a1b67cba05008065719a2cdfe406ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd707b69a11f8de5566f23c1a2a9ff5a.png)
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6 . 判断正误(正确的填“正确”,错误的填“错误”)
(1)数集问题的全集一定是R.( )
(2)集合
C与
C相等.( )
(3)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/057decf81b04956ac9e7afd87a54789b.png)
A
.( )
(4)一个集合的补集中一定含有元素.( )
(1)数集问题的全集一定是R.
(2)集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65f260824c0803725cc2bb8b1c67f4aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b17d98be6d1efcd06821772ec763f6cc.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/057decf81b04956ac9e7afd87a54789b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3baa908edd8c2dfb907487a91df896d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9896492c750340e4bb83ca1003769806.png)
(4)一个集合的补集中一定含有元素.
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7 . 以下判断中错误的是( )
A.设![]() ![]() |
B.设集合![]() ![]() ![]() ![]() ![]() |
C.![]() |
D.![]() ![]() ![]() ![]() ![]() ![]() |
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名校
8 . 集合
,集合
则集合
可表示为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6de6156414235a8f17cac0f0e1f8b4e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4479de558b63c0e0fbddc69725f96cd8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/539148b808ac29e29ef16299cd02f003.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2022-11-12更新
|
367次组卷
|
4卷引用:浙江省杭州市“七彩阳光”联盟2022-2023学年高一上学期期中联考数学试题
9 . 下列三个结论中所有正确结论的序号是( )
①若全集为
,集合
,则
;
②空集是任何一个集合的真子集;
③已知集合
与
,则
是
的充要条件.
①若全集为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b504c5e5a1d75d7882f8f867e7ef1cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6d403831108d8ff97494fd2e200ec58.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/732f2de96c6713f2ddb0ec417cd81c33.png)
②空集是任何一个集合的真子集;
③已知集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2333f966f6ec29f0661f93d99b055cd5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56552cb9c94f329a295d508567103f75.png)
A.① | B.③ | C.①② | D.①③ |
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10 . 若
是全集
的一个非空子集,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4411598e6ff48451beba0dcf3131e460.png)
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4411598e6ff48451beba0dcf3131e460.png)
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