解题方法
1 . 已知
为实数,集合
表示把集合
的元素
映射到集合
中仍为
,则
( ).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b0fffbec1fe851795dfdd448bf0d165.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a88f3b18c36b2d8857466b1ad5aa23df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edff1881635893293dd411ead8194aca.png)
A.![]() | B.![]() | C.0 | D.1 |
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2 . 在教材的“阅读”材料中谈到如下内容.德国数学家康托尔根据人们在计数时运用的“一一对应”思想给出了两个集合“等势”的概念:若两个无限集的元素之间能建立起一一对应,则称这两个集合等势.由此,下列四组无限集合中等势的有( )
A.![]() ![]() | B.![]() ![]() | C.![]() ![]() | D.![]() ![]() |
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3 . 设集合A与集合B都是自然数集N,映射f:A→B把集合A中的元素n映射到集合B中为元素
,则在映射f下,像20的原像是( ).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ff46490964d3559dbda1d03134bf96e.png)
A.2 | B.3 | C.4 | D.4或![]() |
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4 . 已知
在映射f作用下的像是
,则
关于
的原像是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82a79a33a83a7ba57a34b5093d1d1d02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09d2f7a55c8b3fd6bf65d9ea838e4ce8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5265d99095b635f62c7915298ec0e963.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca4ff0af96ea467337cb30c4c765b5f7.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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5 . 函数
的解析式为
,值域为
,则符合要求的函数
的个数为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c565889556c2f415ba5c17e1c1ced41c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e565001c699e5e221ed616dd7be2bb83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
A.16个 | B.945个 | C.2025个 | D.1个 |
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6 . 设
是从集合A到集合B的映射,如果B={1,2},则
为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/925b7d358b8adc6bd47128672e2345d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fdbfa7a63fdf5717d40c8c9a73ec160.png)
A.![]() | B.{1} | C.![]() | D.![]() |
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7 . 已知
在映射
下的像是
,则
在映射
下的原像是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82a79a33a83a7ba57a34b5093d1d1d02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca4ff0af96ea467337cb30c4c765b5f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09d2f7a55c8b3fd6bf65d9ea838e4ce8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0481d24e2af1e0cd348732b9444d1dde.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca4ff0af96ea467337cb30c4c765b5f7.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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8 . 已知集合
,
,
是从集合A到集合B的映射:
,
,
,则在f的作用下,原像2的像是___________ ,像
的原像是___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ded8f0e8f20faa4487e950235caf8817.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23e84710fa14977c09a2f851b83bcb3e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca4ff0af96ea467337cb30c4c765b5f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb339cdc781caef1c57d62e3a9c70a5c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ed006b944ea64f970fee46e2f558467.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84ae23cf6a2823451f9676220b32c782.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/062b4b2ea7f945acb2afddbb6ecd4bfe.png)
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9 . 设集合A={-1,3,5},若f:x→2x-1是集合A到集合B的映射,则集合B可以是( )
A.{0,2,3} | B.{-3,9} | C.{-3,5,9,10} | D.{-3,5} |
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10 . 已知
,
为实数,集合
,
,
表示把集合
中的元素
映射到集合
中为
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/698e95a5aa45ab5f81d4eb2aea9f5086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dfe0c70e2ff4add14ba4987083d22af2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57ed63574a117f95153053fca32f51a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c1d2e5599453f8d4c04369bc8f79962.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/892560dcff6af9f66a3f735652f69dd7.png)
A.![]() | B.![]() | C.![]() ![]() | D.![]() |
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