名校
1 . 函数
的定义域为集合
,函数
的值域为集合
.
(1)求
;
(2)若
,且
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7fedb3c3baf5dcaf7702a34e768ad745.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3207a3c8c9639219bbed6f397381b7a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d5d4621996282c096cde2a711d1bca8.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38227576bd5962dbf3f7afc3ff17c8c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e544b1304a6bbc87283cf741f134cebe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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2017-10-06更新
|
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2 . 已知集合
,若集合
有且仅有2个子集,则
的取值是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9e5363fa39289498ba145ce6ccdce6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/671b087abb1d2692c8be5b16846c4690.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4887473a8091e1ef53a169cc9f211e3a.png)
A.1 | B.-1 | C.0或1 | D.-1,0或1 |
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2017-10-05更新
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3 . 从集合
的所有子集中任取一个集合,它含有2个元素的概率为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36cd2052417ccb1650cc533f62273aab.png)
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名校
4 . 集合
的真子集个数为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/987517758fad59f6f695761deb2a5ebd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17a594d05549e6fb2f441fad0f65dcd3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11d71379442f28c038d367d49422cf90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/987517758fad59f6f695761deb2a5ebd.png)
A.3 | B.4 | C.7 | D.8 |
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5 . 已知
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2d07c39f9ad50568b9c233b55d4f7a2.png)
(1)当
时,求![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fdbfa7a63fdf5717d40c8c9a73ec160.png)
(2)若
,求
的取值范围
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2aa97aedcb2c3556c7e850f1272d48b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2d07c39f9ad50568b9c233b55d4f7a2.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/caf22d7d1a965bda25168a233fb6290c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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2017-05-13更新
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6 . 下列说法正确的是( )
A.任何一个集合必有两个子集 | B.无限集的真子集可以是无限集 |
C.我校建校以来毕业的所有优秀学生可以构成集合 | D.函数是两个非空集合构成的映射 |
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2017-05-13更新
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7 . 已知集合
,
,则集合
的子集个数为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2106482b683318fe64fe5d1f83c3e03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2807013b0f9a0f2ab6cdfbc8126b6592.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fdbfa7a63fdf5717d40c8c9a73ec160.png)
A.8 | B.7 | C.6 | D.4 |
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8 . 已知集合
,
,则
的真子集个数为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61c3ebd03d123b5eaa694f75f55faead.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/446d8c681c698c42d5e14e5b7c155ab9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75c6d0847cbfb5690d6671d0faa574d2.png)
A.1 | B.3 | C.4 | D.7 |
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9 . 已知集合
,
.
(1)若
,求
;
(2)若
,
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eef140f01e980fdac1dbb999740fefaf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a132fce9076b52c0babc3c4f8ca8994.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8a3cc8c48bf54ec8252e5dce6867754.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fdbfa7a63fdf5717d40c8c9a73ec160.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58b140e221ddf537b8964fff8557cca0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2ad78dc8b8aed907b4fe9640c997454.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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2017-02-17更新
|
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名校
解题方法
10 . 已知不等式
的解集为
.
(1)求实数
,
的值;
(2)若不等式
的解集为
,不等式
的解集为
,且
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1edcf1d5448024e43e117e1ad76f31e4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2db0b5848232bc743bc9d4c9a1a69b4.png)
(1)求实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
(2)若不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be48be8c60377a3c118805b0c812745d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/820e90b5007d709bc1ceba06dc31b156.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2ad78dc8b8aed907b4fe9640c997454.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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