第1章 集合能力提升卷
一、单项选择题:(本题共8小题,每小题5分,共40分,在每小题给出的四个选项中,只有一项是符合题目要求的)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0113a70d888081f2e32f186572649064.png)
A.9 | B.8 | C.7 | D.6 |
【知识点】 判断集合的子集(真子集)的个数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81c8a72c22e343169ef22228a5321e1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac8b4b90b316eb378b641e68640136b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1aad6401ce0090f4200660f774145048.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc76eadf20eddcf32f4f048903be7e7b.png)
A.9 | B.14 | C.18 | D.21 |
【知识点】 判断元素与集合的关系解读 集合新定义
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68209f8f3bcfa8d9875980b66f60cb3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd089af2b898c37371cee5ebbc07be7d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
A.1 | B.2 | C.3 | D.4 |
【知识点】 判断集合的子集(真子集)的个数
A.a<1 | B.a≤1 |
C.a>2 | D.a≥2 |
【知识点】 根据集合的包含关系求参数解读
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/959d3622c48e4ad520304f79061aef03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a264f6aa556b3aa4124e51d6e81a61d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96f1ba0a1129741502600e47bf058c98.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
A.![]() | B.![]() | C.![]() | D.![]() |
【知识点】 根据交集结果求集合或参数解读
二、多项选择题:(本题共4小题,每小题5分,共20分,在每小题给出的选项中,有多项符合题目要求,全部选对的得5分,有选错的得0分,部分选对的得3分)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d86b87b54480c86df52e979a4a934b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d4c924c1e79301000abfbe8542fdc57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/caf22d7d1a965bda25168a233fb6290c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
A.0 | B.1 |
C.2 | D.0或1或2 |
【知识点】 根据集合的包含关系求参数解读
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2afed093523eb87cde522ed80548c337.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/207db7f6828e5ce76f737c48e4e0ce8a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/659a0ed6eb753b2f1b613d567ee9f4ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3744e71abf4b43e128eabea9181b712.png)
A.-4 | B.1 |
C.![]() | D.![]() |
【知识点】 根据交集结果求集合或参数解读 并集的概念及运算解读
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e618121091786df7fcaedb01cd192029.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce5e86c0c4de545ea8efd5e85e6972f4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5e5c4e8a8e2c91f0f45c6147e00807c.png)
A.0 | B.2 | C.1 | D.-2 |
三、填空题:(本题共4小题,每小题5分,共20分)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d7bca4e38ceb3961623157d77885614.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f39c7ba6c65c4289b2a79fc179efe192.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/caf22d7d1a965bda25168a233fb6290c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
【知识点】 根据集合的包含关系求参数解读
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba3ead1c67f3b75f466951b3556dd0f3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf68738ae172c60348beb1da5159b4c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a3317e60cf76143aba82ec1bded409b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36e16415b61722f9961e412386e6819f.png)
【知识点】 集合的交并补
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bcc1690b1d98a79423f483455defa71.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
【知识点】 由一元二次不等式的解确定参数解读
四、解答题:(本题共6小题,共70分,解答应写出文字说明、证明过程或演算步骤)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f51b184e1979ef50a0c6fa06871a4cb8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b980d8446f130dfc405c196109e73ea4.png)
【知识点】 根据集合的包含关系求参数解读
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2517ef90ee04e79bed91512e13b1df82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18d4f917d797c0e024e65e1651e6d9a0.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca72d5bfaaf845bbcb244238c3eb56d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/073b81c3208508ef5ec2b137843c8314.png)
(2)若集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6622b87ddcb39c0adb1a3f3b325a820.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/665369be75522575b147979711c5f748.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
【知识点】 根据集合的包含关系求参数解读 交并补混合运算解读
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c59bb72db4f5991930f9a7d6af5c95f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24309d5b9a73054f28c4cac9c650c319.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/126fdf5a6e9b2d7c23d57798318da453.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/144b3752258dade187bf43f333d27fed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f569c191a60a39899b5056aaa74b9f5e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
【知识点】 根据集合的包含关系求参数解读 交并补混合运算解读
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/857ecc42ada21c50a7f1779b91373bd3.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
【知识点】 集合的应用 一元二次方程根的分布问题解读
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb2856ffecdda6b2d1790a89325810bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e663312a205f30993283f0960f34b5d.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd9d50619b779c1056602f46b2a95e90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b05d2be27e8f53e4de3071846dffb41.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
【知识点】 根据交集结果求集合或参数解读 根据并集结果求集合或参数解读
(1)若A∪B=A,求实数m的取值范围;
(2)当x∈Z时,求A的非空真子集的个数;
(3)当x∈R时,若A∩B=
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a837165ca03f9e4ea8964979c95e3bb.png)