1 . 若集合
,
,则
中所有元素的和为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3fddb8b5f4fa45c847ba7c0b20a7508.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae98b3919fbfa079be9050235e29b319.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
2 . 已知集合
的元素之和为1,则实数a 所有取值的集合为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77e1db751cec925da97ef653d57840e1.png)
A.{0} | B.{1} | C.{-1,1} | D.{0,-1,1} |
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2024高三·全国·专题练习
3 . 已知集合,定义集合
,则
中元素的个数为( )
A.77 | B.49 | C.45 | D.30 |
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4 . 下列说法正确的是( )
A.由![]() ![]() ![]() |
B.![]() ![]() |
C.集合![]() ![]() |
D.集合![]() ![]() |
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5 . 已知集合
,
.
(1)求A和B;
(2)若
,且
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2134320794b4ab7cf0a06ede8ea1188c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/157846d30363de5d37d49b60e8753a13.png)
(1)求A和B;
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fc88d8e6c706fca06d9740a804bbab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07241606934d6c75cf04455979d0e1b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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6 . 设函数
,集合![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c563b30e0b214a3f2996e6c4c1d5ccf.png)
(1)证明:
.
(2)当
时,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82978e25c21f5153ffe233a2720880c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c563b30e0b214a3f2996e6c4c1d5ccf.png)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2ad78dc8b8aed907b4fe9640c997454.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37d648d3fa1544e9de76c9d0ff3b021a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
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2023-08-16更新
|
533次组卷
|
3卷引用:第一章 集合与常用逻辑用语(单元测试)(能力卷)--高一数学同步精品课堂(人教B版2019必修第一册)
(已下线)第一章 集合与常用逻辑用语(单元测试)(能力卷)--高一数学同步精品课堂(人教B版2019必修第一册)黑龙江省哈尔滨市第九中学校2024届高三上学期开学考试数学试题黑龙江省哈尔滨市第九中学校2023-2024学年高三上学期开学考试数学试题
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解题方法
7 . 若
,则下列结论中正确结论的个数为( )
①
;
②
;
③若
,则
;
④若
且
,则
;
⑤存在
且
,满足
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ca1a8a058dbb0d68a9f0e1942f55ed5.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab63507bfedb4cfc46ca1da16ccaca03.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3cd60d5a1f2d29ca0840590923a8ee91.png)
③若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1da05710c58b9dc4a843cc96f3144a6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b6c695a165035ba95b82470801f9327.png)
④若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1da05710c58b9dc4a843cc96f3144a6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d1b87613e5700880384c5a3e3112c2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f4b30ac77436082a08dcc16bbffd490.png)
⑤存在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acfc595518cf752e1c7903dfff93dbda.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68b2e9a769561ffd610653116df3e6ae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ea4693107b88ceb95c9e0c3d5df7b59.png)
A.2 | B.3 | C.4 | D.5 |
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8 . 若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/892560dcff6af9f66a3f735652f69dd7.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/866bbf692b01d5cad7062269a82626c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/892560dcff6af9f66a3f735652f69dd7.png)
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2023-11-05更新
|
708次组卷
|
5卷引用:专题01 与集合与常用逻辑用语有关的参数问题-【寒假自学课】(人教A版2019)
(已下线)专题01 与集合与常用逻辑用语有关的参数问题-【寒假自学课】(人教A版2019)(已下线)【同步课时基础卷】1.1集合(高三一轮)福建省南安市侨光中学2023-2024学年高一上学期第1次阶段考试(11月)数学试题广东省肇庆市第一中学2023-2024学年高一上学期学科能力竞赛数学试题陕西省咸阳市武功县普集高级中学2023-2024学年高一上学期12月月考数学试题
9 . 已知集合
,
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/794a8597ef84db5af344193eb67b288c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80625549e1a2ba3b510ecb9034a73d02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1336d38741aab2255a35c26612bbd7cc.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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10 . 数字
的任意一个有序排列记作
,设
为所有这样的排列构成的集合.如:
.
记集合
任意整数
,都有
;
记集合
任意整数
,都有
.
(1)用列举法表示集合
;
(2)用列举法表示集合
,
;
(3)求集合
中元素的个数.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1862403f59a94ecf2d21fe7e19d2aec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c686124767ab3c2b84470b065fcef89b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2edc94eb9e01d92845a08b0f4a87fa8d.png)
记集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c299369da9b23d75fc194c14863af0a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/937c09d82c480e4d67f8a48d3f66c5f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/767965df8401842b4d727998d43a4fad.png)
记集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc0b26eaa0e85315ac9af718aa2e4fb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/937c09d82c480e4d67f8a48d3f66c5f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b9d89f2b4a2e160458b36c8fd270c89.png)
(1)用列举法表示集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6899bf9cadae2ccdb14cbc87d4f280ee.png)
(2)用列举法表示集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04b56e44e4f0424a2b7a45567120a2e4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2857fac4963b129d99e79dcb3e13d295.png)
(3)求集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/74c612f58462180705a1acfd433714a4.png)
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