解题方法
1 . (1)已知集合
,
,求集合
.
(2)已知集合
,
,
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ee135078d38daa5c76155f1c80e909e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b05d2be27e8f53e4de3071846dffb41.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
(2)已知集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2a9be4880e2e3f8dbc7885c95397bb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38792df5ad0f0c71cb9d850aa249351a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb395682c90fe4a41d8fea134a99370e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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2 . 已知集合
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f42ff118e4b8ee90f5a455db4775a4f5.png)
(1)当
时,求
;
(2)若
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c45bf4d51c645b0d3ba6ff45c4a7139.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f42ff118e4b8ee90f5a455db4775a4f5.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fdbfa7a63fdf5717d40c8c9a73ec160.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/448519b92579dfba9cfd1115339eb1fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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3 . 已知集合
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4b9b470218359a4a47be9244980489e.png)
__ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc51474b54120493b300a14e566cbc0e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db555b1c5a5b85d006960b02e6101863.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4b9b470218359a4a47be9244980489e.png)
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2023-01-29更新
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4 . 已知集合
,试用列举法表示![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4b9b470218359a4a47be9244980489e.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27d9351e4084dc6dc5ef70d55712fae5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4b9b470218359a4a47be9244980489e.png)
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5 . 已知关于x的不等式
,设Z为整数集.
(1)求不等式的解集A;
(2)对于上述集合A,设
,探究B能否为有限集?若能,求出使B元素个数最少时的k的所有取值,及此时的集合B,若不能,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a488b3e662d85228ea8a2145b1e0e8d5.png)
(1)求不等式的解集A;
(2)对于上述集合A,设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0b6339a3fb97950cf7cfe7fc1a0259c.png)
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6 . 已知集合
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4b9b470218359a4a47be9244980489e.png)
____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4ce5e09b16162efdaba37d98afaaaab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80f5081adcb8c14f1667d1eb0ee9a872.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4b9b470218359a4a47be9244980489e.png)
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上海市嘉定区2021届高三二模数学试题(已下线)1.3 集合的基本运算-2021-2022学年高一数学课时同步巩固强化训练(北师大版必修1)山东省菏泽市菏泽外国语学校2023-2024学年高一上学期第一次月考数学试题山东省烟台第二中学2023-2024学年高一上学期10月月考数学试题
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7 . 已知集合
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4b9b470218359a4a47be9244980489e.png)
___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b84c78f2759aefd083a24c65a7050b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f30556159b1d22af79c758160809e09b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4b9b470218359a4a47be9244980489e.png)
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