解题方法
1 . 已知集合
.
(1)若集合
,写出集合
的所有子集;
(2)若集合
,“
”是“
”的充分不必要条件,求m的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b957827e96d1f85fe76f96566debd121.png)
(1)若集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/182633639ead2ffaaec816509326889f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(2)若集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45634a4f2180e248a4ba677388de92fc.png)
![](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
2 . 已知函数
,
,
是
的导函数.
(1)已知
的解集为A,集合
,若
,求a的值;
(2)若
在
上存在单调减区间,求a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92aadf7d19473ff3b87efde342205397.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10bbdef421c976962a270a2beabbad91.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/724340d69477c0ec2418c392b22b1cab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(1)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7667e3a020f9d2883ffbaaed15e271b1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/930562fb80e02c4e3cab2abff75dbaa2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb73c76d1979737c59659b259743e4b2.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/189b2da6c420bf8f8900002d14f65f72.png)
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3 . 设集合
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/199d70c4fb4a803681cad2c28afc80f4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4b9b470218359a4a47be9244980489e.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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4 . 已知全集
,其中
,则
可以是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d235659330ecd2e64a939f0df777d9d8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/675c7c823e9a3d31ad98b34d18b6d24a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/490a484e4306eeec3f299c4862f065db.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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名校
解题方法
5 . 若集合
,
,则
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/adf3eebee4dafe6161d3752a6ed1587c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c78457c36263912de66457e1588ef4dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c61ee150e0528b4402258dde1802be6.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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6 . 下面命题正确的是( )
A.“![]() ![]() |
B.命题:![]() ![]() ![]() ![]() |
C.函数![]() |
D.集合![]() |
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名校
解题方法
7 . 已知集合
,
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac3e839f6d6cdfb99187f3b871519e5a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5cf785fda5a261a9d7e0be8fc3a3514d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4b9b470218359a4a47be9244980489e.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
8 . 已知集合
,
,则
中的元素个数为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ca717c6a55e786238e64f7ebd69b9b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc1a6722c7857fb834713ab0983bca54.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/baad1fbb2c953ae409604e39fcd9bf27.png)
A.3 | B.4 | C.5 | D.6 |
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9 . 已知全集
,
,
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3344b4b2541031b88aa04025bbcd82c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/522954ce536d559cf03638d87fad504c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be8afa8b7d1f640570fcd8e2b78821c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0303bdebf9eec6ba6fb7b7b400a49890.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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名校
解题方法
10 . 已知函数
的定义域为A,集合
,
(1)当
时,求
;
(2)若
,求实数m的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f9b7cb8b415f90cd73c6a76c1ac29b3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f49c05131d8337189cd656021879b126.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0db2c49919467a2e14540f2aabd05cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fdbfa7a63fdf5717d40c8c9a73ec160.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b05d2be27e8f53e4de3071846dffb41.png)
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