2024高一上·全国·专题练习
1 . 用列举法表示下列集合.
(1)不超过11的所有素数组成的集合:______ ;
(2)
:______ .
(1)不超过11的所有素数组成的集合:
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/931bb032e2278faf4c361f1d4549a95b.png)
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2 . 已知集合
,若
,则符合题意的一个集合C为______ (写出符合题意的一个集合即可,不必写出所有集合);集合
,
,若
,且
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/892560dcff6af9f66a3f735652f69dd7.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb174d27e68b593740d866a33a43ecd1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22882310035db6d3d953e060b0c91733.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02982c0f35420577c5d4cbd7a0e9f6aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80d973f235340b2d8f3c1e5ac622d016.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63a7c6e6ef5e8db9a290278a9d951d7f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45e680f87850128c8d390bfad6694797.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/892560dcff6af9f66a3f735652f69dd7.png)
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3 . 已知有限集合
,定义集合
中的元素个数为集合
的“容量”,记为
.若集合
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aacb0cef0b4732cd149dbf81db44835d.png)
__________ ;若集合
,且
,则正整数
的值是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb9e56ab45ddf991ae24983027e04b08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30502b549c09cd1094e061090e64e866.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e20929ac73a0217b33cd41f6aa86cf29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ebc3da55cca67bac55ace85a5f4c556.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aacb0cef0b4732cd149dbf81db44835d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc0e7c8479f8f57d2b4d29dbab700753.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6532556ff662731db6be89bee77a8b8f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
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2023-09-19更新
|
278次组卷
|
2卷引用:重庆市南开中学校2023-2024学年高一上学期开学考试数学试题
4 . 由大于
小于5的自然数组成的集合用列举法表示为____________ ,用描述法表示为____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acbc6a613224461ade69362d46550474.png)
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5 . 用列举法表示下列集合:
(1)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31549c84fd86812611dceddeb3f0618c.png)
______ ;
(2)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/257144790280974a62bd7aa0c14b5d25.png)
______ .
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31549c84fd86812611dceddeb3f0618c.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/257144790280974a62bd7aa0c14b5d25.png)
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23-24高一上·江苏·课后作业
6 . 用描述法表示下列集合
(1)所有正偶数组成的集合_____________ ;
(2)被9除余2的数组成的集合_______ .
(1)所有正偶数组成的集合
(2)被9除余2的数组成的集合
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解题方法
7 . 若集合
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1f9fabbbe61a759e52ec975215e2e7c.png)
_________ (用列举法表示),集合
与集合
的关系为:A____ B(填入适当的符号).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ca717c6a55e786238e64f7ebd69b9b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6396b14f98815f13292388b68e8e4ad0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1f9fabbbe61a759e52ec975215e2e7c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
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8 . 若方程组
的解集为
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
_________ ,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ccd4162c7d09f970cb77cadacdbe521.png)
_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a844258afcf1e6020043c904c58c93fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92c87e04e9643ced3cf3d347df0a73ad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ccd4162c7d09f970cb77cadacdbe521.png)
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解题方法
9 . 设集合![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82513decb775fbf0dc3f509515a66244.png)
且
则用列举法表示集合B=____________ ;
=__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82513decb775fbf0dc3f509515a66244.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/714decb5ef550a5bae9540107843b177.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ca65e18ecc392fb1bf045da1e3233d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fdbfa7a63fdf5717d40c8c9a73ec160.png)
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10 . 甲乙两位同学求关于
的方程组
的解集
时,甲因看错了
,解得
;乙因看错了
,解得
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30800bcb030cf5ee97d0e21fbbe8c368.png)
___________ ,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d22d7c214d9685da7be80319ed80d8df.png)
___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7822f361618da0965955d7bc25c4b49c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f46102fb6ed356e25bae44efe2139ee4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/331c214721617d58a0c4a8178cfb7b90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0364e6be73d9d631bce3d194b0b43e6f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30800bcb030cf5ee97d0e21fbbe8c368.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d22d7c214d9685da7be80319ed80d8df.png)
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