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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2 . 已知集合
,集合
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23e9dbec389b6631b3c910137cfa394a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dd0c4a59c347bf9757111557348e86f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95e60375f97ff7854f4d3a8b1108d2e3.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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名校
解题方法
3 . 已知集合
,
,则图中阴影部分表示的集合是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/425ce34c426187e8672c12140c7c9323.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87f44277def5ab7bc06cb119752bf9c9.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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2024-06-11更新
|
1080次组卷
|
4卷引用:广东省高州市2024届高三下学期适应性考试数学试题
广东省高州市2024届高三下学期适应性考试数学试题河北省沧州市部分示范性高中2024届高三下学期三模数学试题(已下线)【讲-提升版】1.1集合(高三一轮)(已下线)【讲-提升版】1.1集合(高三一轮)1
名校
4 . 已知集合
,
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d639a1c5fb9f1352d3d8830d821c4e60.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6fe81c68476c560313bde5dfa0343b02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4b9b470218359a4a47be9244980489e.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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名校
解题方法
5 . 已知
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2f84411e359db98f92d656e26955541.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4b9b470218359a4a47be9244980489e.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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2024-06-08更新
|
1236次组卷
|
4卷引用:广东省华南师范大学附属中学2024届高三下学期5月适应性考试数学试题
名校
6 . 已知
是各项均为正整数的无穷递增数列,对于
,定义集合
,设
为集合
中的元素个数,特别规定:若
时,
.
(1)若
,写出
,
及
的值;
(2)若数列
是等差数列,求数列
的通项公式;
(3)设集合
,
,求证:
且
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cf5776ec7059c208daf01ca48a34915.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/540b08dfc458c4a3f2d125d93672900f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/233427826eb2233641fc3a9805f6d206.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1202d58cd3ad66e7b23f01024566705b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1cc57d8a4f67a040435d8b206d3254bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6510d0816033afa001c130342bb7cda.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e4b5779873cb3f4366dbfdb983dec81.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b715e7842b95f654f16056a7c7f2abe9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13423c094861baf4b759b7f3d8c3c226.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac648580405ecaa29e91d45738a08af7.png)
(2)若数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(3)设集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dcffbf7526412a2774beeac31cd5462.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46c4a7ce35f2e34ac70e10e1d24eb679.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27aed3aa3c3d622535b02b7f844f7700.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30a6a3d1be93cf6d16ee6e0ce0497f46.png)
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名校
7 . 定义两集合
的差集:
且
,已知集合
,
,则
的子集个数是( )个.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/396a6a8f9774d36d8af029d404ee07c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4e10255d9c38c5db2be76d20e809acb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b743b6904e6b739da17c1e5bb082289.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f87b4542219c8be7c8f19b81c55b005a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7474df966fe3085468537375a15f48e6.png)
A.2 | B.4 | C.8 | D.16 |
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名校
8 . 已知集合
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ec3fd26ebaa7eee3915364c5e273e75.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e087d362a3f6c82c02aa1ee353c13741.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2024-06-04更新
|
833次组卷
|
2卷引用:广东省广州市2024届普通高中毕业班综合测试(二)广州二模数学试卷
解题方法
9 . 设集合
,
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/761360815c78f12910de2fcfa8ea2294.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c753b00937800490fe29a93631fb17b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e5e1e33c1259195f7bb0198a3e6f65a.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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10 . 若集合
的非空子集
满足:对任意给定的
,若
,有
,则称子集
是
的“好子集”.记
为
的好子集的个数.例如:
的7个非空子集中只有
不是好子集,即
.记
表示集合
的元素个数.
(1)求
的值;
(2)若
是
的好子集,且
.证明:
中元素可以排成一个等差数列;
(3)求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24f5c44de003475d3466981293cf5e47.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f022950e0faa45b617d497b01b5292b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/887982e3735dd7ca13293338a12df593.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c469f6345826410959ea09d7e3192e20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0586ec8d1d9796fb80a1250e2c0a4b0b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f022950e0faa45b617d497b01b5292b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38fcec7af3520884b173b29bda6c657a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b26bbb11e932ddb26a9088e7fc33e87b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27c562f247c1d691158f4038a030574c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68eafd45c1ec4b414d3553dabd8c2848.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37765d2927d24d4b582423c843aebcd4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f022950e0faa45b617d497b01b5292b9.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b32a859898e9905e0524d3a982eb34b6.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f022950e0faa45b617d497b01b5292b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ada01c2a8b4d92df94834a6a3929673.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f022950e0faa45b617d497b01b5292b9.png)
(3)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79df6a6d73a058d13632a726c2308d66.png)
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