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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解题方法
2 . 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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名校
3 . 已知集合
,
,则
的子集的个数是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01113d5534c82b64a2def109eb84c770.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/661e76fe4f64296149495560eaaba6ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fdbfa7a63fdf5717d40c8c9a73ec160.png)
A.2 | B.4 | C.8 | D.16 |
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解题方法
4 . 若正整数集
的非空子集
满足:至少含有2个元素,且任意两个元素之差的绝对值大于1,则称
为数集
的超子集.对于集合
,记
的超子集的个数为
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26974cd38196094faf713e10668d42a2.png)
______ ,
与
的关系为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12934b832f1484fb88b13974e50cad4a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12934b832f1484fb88b13974e50cad4a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10937bdfe1d64b5f53b598b377f94312.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3cfeacc29e6a61c5b3b4e439c0a91df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26974cd38196094faf713e10668d42a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a69725055853cf456a3c92632bd54dbe.png)
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5 . 已知全集
,集合
,
,则图中阴影部分表示的集合的子集个数为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c997afeb2e9be9c16822ab852dfafe6f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5990fe8270a3cd33f089e889f68792db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c5df737e4d0cc03539294d74eef9c35.png)
A.2 | B.4 | C.8 | D.16 |
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解题方法
6 . 若集合
,
,则集合
的真子集的个数为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4c8c312478c8292df2719574c558b97.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3df9e893ab414481391197b8a32d8bea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fdbfa7a63fdf5717d40c8c9a73ec160.png)
A.0 | B.1 | C.2 | D.3 |
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7 . 若数集
的子集满足:至少含有2个元素,且任意两个元素之差的绝对值大于1,则称该子集为数集
的超子集.已知集合,记
,记
的超子集的个数为
,当
的超子集个数为221个时,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f3cb8d72bb2e281b943b3b430138ef7.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f28611f423195f2afe782c91c4dcd14f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3cfeacc29e6a61c5b3b4e439c0a91df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3cfeacc29e6a61c5b3b4e439c0a91df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f3cb8d72bb2e281b943b3b430138ef7.png)
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8 . 已知集合
,则
的子集个数为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d744214aad8cb371df0286db1c0255f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
A.4 | B.7 | C.8 | D.16 |
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2024-06-12更新
|
755次组卷
|
3卷引用:江西省南昌市第十中学2023-2024学年高二下学期第二次月考数学试题
名校
9 . 下列选项正确的是( )
A.命题“![]() ![]() ![]() ![]() |
B.满足![]() ![]() |
C.已知![]() ![]() ![]() |
D.已知指数函数![]() ![]() ![]() ![]() ![]() |
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名校
10 . 设集合
,则集合A的真子集个数为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c20d75a825945638f76696e15c455aa.png)
A.7个 | B.8个 | C.16个 | D.15个 |
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2024-06-08更新
|
479次组卷
|
2卷引用:天津市滨海新区大港油田实验中学2023-2024学年高二下学期第二次月考数学试卷