名校
1 . 若集合
含有
个元素,则称
为
元集,
的子集中含有
个元素的子集叫做
的
元子集.已知集合
,
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b8efd2f8884ae8c029728ffee11bf3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bfc03ec3d78487844b44cd273efc9188.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb08c3c3a2c1752a0b4b1248da28d203.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 . 德国数学家康托尔在其著作《集合论》中给出正交集合的定义:若集合A和B是全集U的子集,且无公共元素,则称集合
互为正交集合,规定空集是任何集合的正交集合.若全集
,则集合A关于集合U的正交集合B的个数为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c57114e83aabd25b07b80a3e162d4a7.png)
A.8 | B.16 | C.32 | D.64 |
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2024-03-06更新
|
740次组卷
|
4卷引用:河北省2024届高三下学期大数据应用调研联合测评(V)数学试题
4 . 下列论述中,正确的有( )
A.集合![]() |
B.第一象限角一定是锐角 |
C.若![]() ![]() ![]() |
D.![]() ![]() |
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5 . ![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
______
;![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81fb134b2b48acc99213fff6ccfee65f.png)
______
;![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed1d2f98caea906d26aee92ea178551a.png)
______
;![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c839c42ca4cfdd2bbe2f1b5f2666dcf.png)
______
;![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2967337e3fcb228dded64ab0c41a17e0.png)
______
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cad135b14c9dcd83eab6618d7694c7b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81fb134b2b48acc99213fff6ccfee65f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d0ecd416d6dc3d886b7bf73fc285dde.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed1d2f98caea906d26aee92ea178551a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e4b667701a36dc656ee6d274f625809.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c839c42ca4cfdd2bbe2f1b5f2666dcf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a66becdc090569818d78174d55276b93.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2967337e3fcb228dded64ab0c41a17e0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
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6 . 下列命题正确的是( )
A.集合![]() |
B.![]() |
C.“![]() ![]() |
D.已知![]() ![]() ![]() |
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2023-11-23更新
|
156次组卷
|
2卷引用:湖南省郴州市桂阳县甘甜中学2023-2024学年高一上学期第一次月考数学试题
名校
解题方法
7 . 已知集合
,若集合
有且仅有两个子集,则
的所有值是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/308048756e1b3f9b451ae4cd46621a0e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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8 . 下列说法中,不正确的有( )
A.集合![]() |
B.![]() |
C.不等式![]() ![]() |
D.若![]() ![]() ![]() |
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9 . 以下选项正确的是( )
A.![]() |
B.![]() |
C.![]() ![]() |
D.满足![]() ![]() |
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10 . (1)集合
,求集合
的子集个数及真子集个数;
(2)集合
.若
,
,
,求
、
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fb02ea70ea7ca37e75e21bd51df0f56.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(2)集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c7e203f994f59782d6e352c504b1f05.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fffebd49e69a8a984d3dd135d873556e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dea9a4259cca10c1f5af28e621ebafd6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/343324ebf9d6e86c42fbde0fbb94689d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
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