名校
1 . 定义:闭区间
的长度为
.可求:不等式
的解集区间长度为_________ ;若不等式
的解集区间长度为
,则实数
的值是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4776c85b79df196f606d3ebf3697fbc3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13502d46b8563c54c09b29b20b3006a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb6b1fc85c324b4c4defdc8f1012d9ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98665e125c1ccf3cde37a12ad2a61976.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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2 . 集合
,集合
.
(1)请把集合A表示的范围写成区间形式;
(2)若
,求a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d14e8ed8bad135fc33bbd6e8d6ce745f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe6512188b5e726611a8aec8e0729fc8.png)
(1)请把集合A表示的范围写成区间形式;
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04ceb1f338fa60976229d7ec6531b626.png)
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3 . 集合
.
(1)若
,求a的取值范围;
(2)若
,求a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba3db80756ea2296c25bb57b21b0c299.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2333f966f6ec29f0661f93d99b055cd5.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9d0d79fd0efdb59c9ca65bfae4a0861.png)
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4 . 已知集合
,则集合
的真子集的个数为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fed3f838a51610e78bc243e9b10b5ea6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
A.7 | B.8 | C.15 | D.16 |
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5 . ![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85dcec73794a2e16c8ac4b80871cb4bc.png)
(1)当
时,求
;
(2)若
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85dcec73794a2e16c8ac4b80871cb4bc.png)
(1)当
![](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/8c3b9f8292d632874ed0f92bbd8df0a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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2023-07-23更新
|
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3卷引用:重庆市巴蜀中学校2022-2023学年高一上学期10月月考数学试题
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解题方法
6 . 集合
,集合
.
(1)求集合![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(2)若“
”是“
”的必要不充分条件,求
的取值范围?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/230518846df552a8881d47851cf16d24.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dcceb532c4be09e320769991ea0e639.png)
(1)求集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(2)若“
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ed006b944ea64f970fee46e2f558467.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e23af61cd402b3789af2401bde9cbefe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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2023-07-23更新
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2卷引用:重庆市巴蜀中学校2022-2023学年高一上学期10月月考数学试题
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7 . 已知集合
,集合![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f4b4ca0dc6ca59a5cbd40766f98dc7c3.png)
(1)求![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eceac03b1f703d7666d91f1fc952cfad.png)
(2)设
,求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5bc8cc3d637c11c7d62b98986d2f690f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f4b4ca0dc6ca59a5cbd40766f98dc7c3.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eceac03b1f703d7666d91f1fc952cfad.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a6c154399fb0dafa3dbd0c8f3ae7e95.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d671d4ce46f03f75a328734f2acbac91.png)
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939次组卷
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解题方法
8 . 已知集合
,集合
或
,若
,则
的取值范围为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/55fa7816b26f39d0b85d5671fe41b3ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a8994c10e6bd6fd1066e2a70ac85fef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68de92160c612a9b4ecdf5c51e8a39c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd9d50619b779c1056602f46b2a95e90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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981次组卷
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4卷引用:重庆市巴蜀中学校2022-2023学年高一上学期10月月考数学试题
重庆市巴蜀中学校2022-2023学年高一上学期10月月考数学试题重庆市巴蜀中学校2023-2024学年高一上学期第一次月考数学试题(已下线)专题2-1 不等式解法18种题型归类(2) --【巅峰课堂】题型归纳与培优练(已下线)第一章 集合与常用逻辑用语(单元重点综合测试)-速记·巧练(人教A版2019必修第一册)
9 . 已知集合
,集合
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b773e8fd05fb57285f6ce0f1774cd012.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0cebeda6f112d335a23ef3581942da3f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95e60375f97ff7854f4d3a8b1108d2e3.png)
A.{![]() ![]() | B.![]() |
C.{![]() ![]() | D.![]() |
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解题方法
10 . 已知集合
,若
,则
的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a806d2f619396de2b1fa3b5c5f99286b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/caf22d7d1a965bda25168a233fb6290c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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