2024高三·全国·专题练习
解题方法
1 . 设集合
,是否存在实数
,使
?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75bebf10a62d627cd025c5de30609d08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46a70d32c64918aa4d1d9d3ce0bdbf7b.png)
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名校
解题方法
2 . 已知集合
,其中
是关于
的方程
的两个不同的实数根.
(1)若
,求出实数
的值;
(2)若
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f0c62a997304c9b77cd46bf94d0daba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa38149578f22f9e1e2bd481dade72de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41221ca73c983fc4f453ac6c4c560aa5.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46a70d32c64918aa4d1d9d3ce0bdbf7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2ad78dc8b8aed907b4fe9640c997454.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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解题方法
3 . 已知集合
.
(1)若
,求
的值;
(2)若
,求
的取值集合.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc20ed32dd9cad5a2e886e2613d57ef4.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46a70d32c64918aa4d1d9d3ce0bdbf7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96f1ba0a1129741502600e47bf058c98.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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2023高一·江苏·专题练习
4 . 已知集合A有三个元素:
,
,
,集合B也有三个元素:0,1,x.
(1)若
,求a的值;
(2)若
,求实数x的值;
(3)是否存在实数a,x,使集合A与集合B中元素相同?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05de636879810855dab27451897e858e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/272f801e4afe574af5706f49868941d7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c17c63e7642f30be29dc6d99bcf6aa9.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69ffc521281e9158bfdf9b101c772934.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69453dede21c01d9e13806cb0a2951e5.png)
(3)是否存在实数a,x,使集合A与集合B中元素相同?
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2023高一·江苏·专题练习
5 . 由三个数
,
,1组成的集合与由
,
,0组成的集合中的元素相同,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c6ce02259a85ea191541f4a708738f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8cc0b4997cae4d8aec791a1d3923314.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20d6fc9b90f370fbb27552876b650f8f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44f06d17e5ee5bed83f18c2a3a58f60a.png)
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6 . 已知全集
.
(1)求集合
;
(2)若集合
,求实数
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/727e1829b895faec371f6151e7ac17eb.png)
(1)求集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ecf97511b335a6a7a2ff22444b45ff67.png)
(2)若集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b16c2d38cc0e604aaa3a31a4f7dc83f4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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2023-10-15更新
|
252次组卷
|
2卷引用:四川省南充市顺庆区南充高级中学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)是否存在正实数a使集合A,B相等?若能,求出a的值,若不能,试说明理由;
(2)若命题p:
,命题q:
且p是q的充分不必要条件,求实数a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c23766e2c4d599b5c995f57bcae95fc3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25b8845a2569ede06b24888a19b3bd28.png)
(1)是否存在正实数a使集合A,B相等?若能,求出a的值,若不能,试说明理由;
(2)若命题p:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ed006b944ea64f970fee46e2f558467.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e23af61cd402b3789af2401bde9cbefe.png)
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解题方法
8 . 设集合
,
,
.
(1)若
,求实数
的值;
(2)若
且
,求实数
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d99a4a3f2cea8576bd1c5259dadf95c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11c8b2ff6eb65276a49a058a7942a7d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30adc9a65ee9d63e05041908a98e9269.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d863dc7fbb5ef32811354df8f0be5c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a837165ca03f9e4ea8964979c95e3bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3846a59e71d1aba0909dc4452aeed8e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c29cd450d0feaea9acb27a60430f4a3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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2023-09-26更新
|
252次组卷
|
6卷引用:陕西省榆林市府谷中学2023-2024学年高一上学期第一次月考数学试题
名校
解题方法
9 . 已知集合![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6aa0e38a29bbb343142bf0c4537b9bef.png)
(1)若集合
且
求实数
的值
(2)若集合
且
求实数
的取值范围
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6aa0e38a29bbb343142bf0c4537b9bef.png)
(1)若集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8d892cc143e39dad9af9251f202a690.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/102d7ce2706b43ef5fe7a4127121a8b1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)若集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/149c9b73ce643bc95f97994c1fa0224e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b31b7d48c2626a2da2e0ab450fc15980.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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2023-09-23更新
|
473次组卷
|
3卷引用:山东省德州市乐陵第一中学2023-2024学年高一上学期9月月考数学试题
名校
10 . (1)已知关于
的不等式
的解集为
或
,求
的值:
(2)设
,集合
,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/478d950181c9b7b883422d26bf4d37fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3da9bfc7bad8739fa88eef5cdb41d367.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65316bafc89cf5e9cf9dd235ba61db18.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/360ff131c51a4ef6745538c18cec92c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/838b8a3e4964124722c8bb8297cbfc84.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13502d46b8563c54c09b29b20b3006a4.png)
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