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1 . 已知集合
,
,则集合
的子集个数为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32b2dd1406ed80ec2cd05b4116772b41.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa8de24f0d18f75bbd9ef67a5efe5d74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fdbfa7a63fdf5717d40c8c9a73ec160.png)
A.32 | B.16 | C.8 | D.4 |
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2 . 设
为全集,集合
满足条件
,那么下列各式中不一定成立的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b52b4f24969673c863b5aff4fb6751ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3d9bcbae53e1711727015629e92e43d.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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2024-06-11更新
|
430次组卷
|
4卷引用:江苏省南通市2024届高三高考考前押题卷(最后一卷)数学试题
江苏省南通市2024届高三高考考前押题卷(最后一卷)数学试题湖北省宜荆荆2024届高三下学期五月高考适应性考试数学试题 (已下线)【同步课时基础卷】1.1集合(高三一轮)吉林省通化市梅河口市第五中学2024届高三三模数学试题
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3 . 对任意
,记
,并称
为集合
的对称差.例如:若
,则
.下列命题中,为真命题的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2ac95a142fdad28e7878ab9115fda4f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ef32fab366056915807eb0d495b7e90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68f70b226287d4a61f2a96afca02183f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b6158c2d0501cf187f4832fca3a132c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de89b0ee6e6bb5bfcf6d26f7e745e7f2.png)
A.若![]() ![]() ![]() |
B.若![]() ![]() ![]() |
C.若![]() ![]() ![]() |
D.存在![]() ![]() |
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2024-04-12更新
|
1256次组卷
|
3卷引用:江苏省姜堰中学2024届高三下学期阶段性测试(2.5模)数学试题
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4 . 已知集合
,集合
.
(1)当
,求
;
(2)已知“
”是“
”的充分不必要条件,求a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f065909942d721db12bd63d340827fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8845971bd79df026cc5b921da0b9617e.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/200f24e682c93e02a87f3f9d57dc5d40.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cfb17a2a90cd479b604258d1258e9636.png)
(2)已知“
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ed006b944ea64f970fee46e2f558467.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e23af61cd402b3789af2401bde9cbefe.png)
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2024-03-06更新
|
457次组卷
|
3卷引用:江苏省常州市北郊高级中学2023-2024学年高二下学期3月阶段调研数学试卷
江苏省常州市北郊高级中学2023-2024学年高二下学期3月阶段调研数学试卷辽宁省名校联盟2023-2024学年高二下学期3月联合考试数学试卷(已下线)周测1 集合与常用逻辑用语 一轮周测卷(提升卷)
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5 . 已知集合
,
,
,其中![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f713d1ab6e1e5167ffd4eadfb6d6ed2c.png)
(1)若
;
(2)若
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dbec41ecbf80fe57340f55022d5a1e15.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88da7e318a3222330b0dabe612617cba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cab969771195fcca4c634b228933a203.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f713d1ab6e1e5167ffd4eadfb6d6ed2c.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cfb17a2a90cd479b604258d1258e9636.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3226acdcb97e0f41aa5cefabc8f95c2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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解题方法
6 . 设集合
,集合
,集合
.
(1)求
;
(2)当
时,求函数
的值域.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0adbacaee97d228631ec3e0f9aa3066c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71707e3b6154bd02e9108f5e5b2ee9f8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/beb5e684be08cae94daeed042fc12e1a.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e105760638b22b26ff8bec4354255e4c.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11bb6324279df94decba955e04ccfa9e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dcdb562732b208fd5c0db51466236422.png)
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7 . 已知集合
.
(1)判断元素
,
与集合
的关系,并说明理由;
(2)求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3edd58f7509ce1f63700d519d3a7b4c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a0d48d57d74ddc580092c2a72791565.png)
(1)判断元素
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fdefcc8672cae89e5d6b188288ebf99b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b49dcc4bf7ddf541458b90841889a673.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aadbdcb9c2fb791a215c94e03cefe5e.png)
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8 . 设集合
,
.
(1)若
,求
;
(2)若
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5dec1bda6c40be6073241dd87c4d204a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/821e55ebc9af7df5e62631c06c7c1191.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa4c355f11471a38f5583a434a1ddeb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fdbfa7a63fdf5717d40c8c9a73ec160.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd9d50619b779c1056602f46b2a95e90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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解题方法
9 . 若
,且
,则称
是“伙伴关系集合”在集合
的所有非空子集中任选一个集合,则该集合是“伙伴关系集合”的概率为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ed006b944ea64f970fee46e2f558467.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cd77104cc745d1e0e262122da34482d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03e61e6283ecec51965aad41eeac53cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af8aaa6963cee7a09aa46f13b5a005e6.png)
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解题方法
10 . 设全集
,已知集合
.
(1)若
,求实数
的取值范围;
(2)若“
”是“
”的充分条件,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/860ebb6f76cd3cb9a265dfc233002a13.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd2a64b9a648a7c8facf99ae1b55c974.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dea9a4259cca10c1f5af28e621ebafd6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)若“
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e23af61cd402b3789af2401bde9cbefe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ed006b944ea64f970fee46e2f558467.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次