名校
1 . 已知全集
,集合
,若
有4个子集,且
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62b68095137c7e5a3e90af74b515d33f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db5c5c7e2b86320b6d4204815f685ce3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c093cbde3d3472d1f7f2b0dff2bc4881.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dea9a4259cca10c1f5af28e621ebafd6.png)
A.![]() | B.集合![]() |
C.![]() | D.![]() |
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名校
2 . 已知非空集合
,则实数a的取值范围为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6685a624c8db01d04c7d6cb8367b762b.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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解题方法
3 . 已知集合
,
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0bb2f64356f0dd3e42da768d55b7f051.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c3914b448fba403bb36225ddbb6f3ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1336d38741aab2255a35c26612bbd7cc.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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名校
解题方法
4 . 已知集合
,
.
(1)当
时,求
;
(2)若命题“
”是命题“
”的充分不必要条件,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5941603c5ef7b427dee503e306b8d64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d88c3f39e11bd502fa0a1217726d49cd.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa4c355f11471a38f5583a434a1ddeb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fdbfa7a63fdf5717d40c8c9a73ec160.png)
(2)若命题“
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ed006b944ea64f970fee46e2f558467.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e23af61cd402b3789af2401bde9cbefe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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名校
5 . 已知集合
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc16f1c5f636307037ea3b98208763c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4b9b470218359a4a47be9244980489e.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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名校
6 . 设向量集合
.若对于任意
、
以及任意
,都有
,则称集合S是“凸集”.现有四个命题:
①集合
是“凸集”;
②集合
是“凸集”;
③若集合
、
都是“凸集”,则
也是“凸集”;
④若集合
、
都是“凸集”,且交集非空,则
也是“凸集”.
其中,所有正确命题的序号是________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37a8aa6b0a40a2ef451c9f6c263662d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a2f4b1178f68bd147d1a2a6acd04435.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37c1870a8601323a0fefb2f90c669f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cee72261f6901e62dfd0ffe547406544.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/304c5050fdb05bd5ccdf8bdfc00e8108.png)
①集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9275e06e147f70046e6c91b1cac72bfc.png)
②集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0f32c01a67d79efc9fb98afc8bd2fb8.png)
③若集合
![](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/f2646f41226f24960a6186dc7860ef45.png)
④若集合
![](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/9b76d26b78e63683dfacf10d3da6d74d.png)
其中,所有正确命题的序号是
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名校
7 . 已知集合
,若
,则
可能是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cb2c3f3fc00d287887c3187cf1fe1ad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14c3056c140df92836ff95dc3a6753ba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
A.![]() | B.1 | C.2 | D.3 |
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解题方法
8 . 已知集合
,
,若
,则满足集合A的个数为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a33334b0cbae732ada07cef16f710ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e9118342b2307d03c8099f16e7426b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86deab5710e71c8b99691867420619bd.png)
A.1 | B.2 | C.3 | D.4 |
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解题方法
9 . 集合
,集合
,则集合
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c59bb72db4f5991930f9a7d6af5c95f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c116bc44e54f0107cf012103ee5387b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4b9b470218359a4a47be9244980489e.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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名校
10 . 已知集合
,则集合
的元素个数为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66afdd990aa623eebb006138dd92eee7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
A.1 | B.2 | C.3 | D.无穷多个 |
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