2022高一·全国·专题练习
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1 . 下列对应是从集合
到
的映射的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
A.![]() ![]() |
B.![]() ![]() ![]() ![]() |
C.![]() ![]() |
D.![]() ![]() ![]() |
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2 . 在集合
,集合
则从A到B的子集建立的映射中,构成一一映射的概率是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6a419b26f7e9c3325eb115189a1519f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31ae7940053ed86253ad0de67ecebd0d.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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3 . 下列对应关系中,哪些是从集合A到集合B的映射__________ .
①
,对应关系:
②
,对应关系![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81160719b65c78a760065e4e5123078e.png)
③
{矩形},
{实数},对应关系
矩形的面积
④
⑤
.
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ab4e5b370c9d01a4f7e2391878edb94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab1b4cc9a1f02167d6653f3768ded816.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/436303c58dbcd5208566ab7fc8162e31.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81160719b65c78a760065e4e5123078e.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5f1e5d29de6e4d72bfed62d9c14dde5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1f9fabbbe61a759e52ec975215e2e7c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3c6760835922213633a6f612a7bf605.png)
④
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6542c9db09632a272655c41e9c831870.png)
⑤
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00d0c3ab009262c54f88c25560ac3aef.png)
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4 . 定义区间
长度为
,区间
在映射
所得的对应区间为
,若区间
的长度比区间
的长度大
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.png)
_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4776c85b79df196f606d3ebf3697fbc3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13502d46b8563c54c09b29b20b3006a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e3f7f762131c77a3c8440b4a3bc1d12.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f512a51125ce645c7fd2488aa9224aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4776c85b79df196f606d3ebf3697fbc3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4776c85b79df196f606d3ebf3697fbc3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e3f7f762131c77a3c8440b4a3bc1d12.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ca7d1107389675d32b56ec097464c14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.png)
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2020-10-16更新
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2卷引用:四川省成都市第二十中学校2019-2020学年高一10月月考数学试题
5 . 已知集合
,
,
为集合A到集合B的一个函数,那么该函数的值域C的不同情况有( )种.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c9a1e9dd14cbd2271ba2f472664ad57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3621533c852951e9ddab2f8e3a82ac1c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a662f934b3bf3ad6f1f1414fedb381d8.png)
A.2 | B.3 | C.6 | D.7 |
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6 . 已知集合
,
,则从集合A到集合B的映射个数为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a22f8d9188279429b395c30b2898ac1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/187ce89d4ee25bf69143540a90fd9bef.png)
A.4 | B.6 | C.8 | D.9 |
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7 . 给出下列命题,其中正确的序号是________ (写出所有正确 命题的序号).
①已知集合
,
,则映射
中满足
的映射共有
个;
②函数
的图象关于
对称的函数解析式为
;
③若函数
的值域为
,则实数
的取值范围是
;
④已知函数
的最大值为
,最小值为
,则
的值等于
.
①已知集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e96741852dcdb2669e482e3c7cbc9697.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5c6f2c06363a8521707f0f5f0851544.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/096610286a04cb69c28783ead6e09c78.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4419d33a2fe087c5bcac70b5b71247e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
②函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f7c4adef3485e8ac6e50d1926365327.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d77f5191798242b7b9b88a75e17e4425.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12be206d66e65eb92ef08bad8cd8f71d.png)
③若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e673478968dfa517fa9faee380e2dbc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/455ba3d3e46977fcbe5b71f8bb9df4be.png)
④已知函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41f99b6b5ee570a2596dfba0ff7a220e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ed83485b04357536c07c06cdd74f149.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
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2019-12-06更新
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2卷引用:四川省广安代市中学校2020-2021学年高一上学期第3次月考数学试题
8 . 设集合
,
都是由A到A的映射,其对应法则如下表(从上到下):则方程
的解的集合是
表一:
表二:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ccaf946a034215b8c49c12a1aff7790.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/674c6027fe6ac3a582bced0c2cde8c8b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb6d1deebbf23dbb651835ee476a3b21.png)
表一:
映射f的对应法则 | ||||
原像 | 1 | 2 | 3 | 4 |
像 | 4 | 2 | 3 | 1 |
映射g的对应法则 | ||||
原像 | 1 | 2 | 3 | 4 |
像 | 4 | 3 | 1 | 2 |
A.![]() | B.![]() | C.![]() | D.![]() |
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9 . 已知
在映射
下的对应元素是
,则
在映射
下的对应元素是________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0203b006524305c3d8ee0b6c34cd872b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca4ff0af96ea467337cb30c4c765b5f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/406f26a15d94709351e89a711b4d01e0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b305674a01f78b0c81713fe997af583.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca4ff0af96ea467337cb30c4c765b5f7.png)
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2019-10-25更新
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4卷引用:江西省上饶市铅山一中2020-2021学年高一上学期第一次月考数学试题
10 . 给出以下四个命题:
①若函数
的定义域为
,则函数
的定义域为
;
②函数
的单调递减区间是
;
③已知集合
,则映射
中满足
的映射共有3个;
④若
,且
,
.
其中正确的命题有______ .(写出所有正确命题的序号)
①若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb87c830a03204a5b783ad4c2ba49c4e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b92ed9c28b600f6632dbc1f9fb6d5b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2aa311daf7a73f8c45de4462f9d92b6.png)
②函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11ede389b43c78417912542746d91d00.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c8bd00a1b1c012681aab8513b755cbc.png)
③已知集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83ab7d43cb1f646dcb744c3df2d1b9bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/096610286a04cb69c28783ead6e09c78.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4419d33a2fe087c5bcac70b5b71247e9.png)
④若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d742d95248b0405a80193874215697f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6855784817151468771f29c0fc38fc9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f3c0bfb693d79bac900c5ed642b309a.png)
其中正确的命题有
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2019-10-23更新
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2卷引用:江西省宜春市奉新县第一中学2019-2020学年高一上学期第一次月考数学试题