名校
1 . (1)设集合
,
,求
;
(2)已知
,
,求实数
的值使得
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ff39c311c7ae0561701aa498ec0641e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f92d700832e84e7f2f71754ee31908db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3744e71abf4b43e128eabea9181b712.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2feed236cb514eee5a426282155ccf58.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf37aa3334ab85b7aef3e2103e33d1c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d69b9fdf49e63a6a2544d13b9cea3e80.png)
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解题方法
2 . 已知集合
或
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/301c3d2a5dfdf12264bd6663335837db.png)
(1)若
求
和
;
(2)若
,求实数a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9ad8ac4dd18a7b8f118f649b16d02f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5fb3d491a81b148f8988f9d04c4a13e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/301c3d2a5dfdf12264bd6663335837db.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e49949f1b8bfdcb6cf62b16294a6f959.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fdbfa7a63fdf5717d40c8c9a73ec160.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3744e71abf4b43e128eabea9181b712.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b05d2be27e8f53e4de3071846dffb41.png)
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3 . 已知集合
,
,
(1)求
;
(2)求
,
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce42340df3d795c0ac815539f90246cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e76236978ecb4fd39799727781eb6cd.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49c6009ab1bad0e053bc7e11b868cac6.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fdbfa7a63fdf5717d40c8c9a73ec160.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3744e71abf4b43e128eabea9181b712.png)
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4 . 下列结论正确的是( )
A.若集合A,B满足![]() ![]() |
B.若集合![]() ![]() ![]() |
C.若![]() ![]() ![]() |
D.若实数a,b,c满足![]() ![]() ![]() |
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解题方法
5 . 已知集合
,
.
(1)若
,试求
;
(2)若
, 求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/734c43b722912309c8bb8ebb0d6c9db8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f01df8791e19bb0c58fbda28b03047cd.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b108ab31cc093f03cf48ad65429889e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3744e71abf4b43e128eabea9181b712.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/caf22d7d1a965bda25168a233fb6290c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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解题方法
6 . 从①
,②
,③“
”是“
”的充分条件,这三个条件中选择一个,补充到本题第(2)问的横线上,求解下列问题.
问题:已知集合
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1c17bb56f067d62341affcf02058c90.png)
(1)当
时,求
;
(2)若 ,求实数a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04ceb1f338fa60976229d7ec6531b626.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/690c4198565d08958f52d824a0c5a4be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ed006b944ea64f970fee46e2f558467.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e23af61cd402b3789af2401bde9cbefe.png)
问题:已知集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d7a271361617b5bdf757abae67aafb5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1c17bb56f067d62341affcf02058c90.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3744e71abf4b43e128eabea9181b712.png)
(2)若 ,求实数a的取值范围.
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2023-10-16更新
|
58次组卷
|
2卷引用:广东省广州市番禺区洛溪新城中学2023-2024学年高一上学期10月月考数学试题
名校
解题方法
7 . 已知集合
,
.
(1)当
时,求
及其子集个数;
(2)当
时,求实数a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bafe6615c6384fa4cd0b6e768595ef06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f5cd5c9f2de275543cd5fb78dedc6cb.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37e9222ffc26c0e6bfbf252ab5d8a520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3744e71abf4b43e128eabea9181b712.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fdbbe46a98a8fdebfc46fcbc45dc88e8.png)
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8 . (1)已知全集为
,集合
,
,求
;
(2)设集合
,其中
为常数,
,当
时,求
的值和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e7c3685a75abc5de2a0e1e0c2abf74a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61d036925ef2057053aaa3db408ae2fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4ab3f796719e9640f0e3d537b6e03a7.png)
(2)设集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a773ded62c012be434e842f769ecbba4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0cd5371a6f0f82c65dd22f75f8b807c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb63478132d4c1fef3c17e591919da83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/659a0ed6eb753b2f1b613d567ee9f4ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0cd5371a6f0f82c65dd22f75f8b807c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3744e71abf4b43e128eabea9181b712.png)
您最近一年使用:0次
名校
解题方法
9 . 已知集合
,求:
(1)
;
(2)
;
(3)
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d659f2bc3e6dfca3856cf8e7fb46ae0.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3744e71abf4b43e128eabea9181b712.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed9279c275a0d1e3967980c29474ad1b.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5eb2265479fd9765b36fcc265e0f8baf.png)
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2023-10-14更新
|
209次组卷
|
2卷引用:天津市静海区第一中学2023-2024学年高一上学期10月学生学业能力调研数学试题
解题方法
10 . 已知集合
,集合
.
(1)若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3744e71abf4b43e128eabea9181b712.png)
(2)若
,请写出由a所组成的集合的所有子集.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b3cf2cc5e44daa265e9e025371f863d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93bca76fbd2f29ceb22692a6b35be5b7.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3744e71abf4b43e128eabea9181b712.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2ad78dc8b8aed907b4fe9640c997454.png)
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