名校
解题方法
1 . 已知函数
.
(1)若函数定义域为
,求函数值域和最值
(2)若函数定义域为
,求函数值域和最值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7874e020c736a369c2e790cb177f121.png)
(1)若函数定义域为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d92d09573123eb6866d37395d0f96df.png)
(2)若函数定义域为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/469e8a5ec6c2d37708f1a78bc5ab9ca0.png)
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解题方法
2 . 已知集合
,
或
.
(1)若
,求
的取值范围;
(2)若
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9b4b6ae66eac5c0ebaf85fc24eacbfd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2af14db902cd1a08f6038f4d3300ff0e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9285ba4848c5b116271e364e15c65fa.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dea9a4259cca10c1f5af28e621ebafd6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd9d50619b779c1056602f46b2a95e90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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3 . 分别根据下列两个实际背景
(1)求函数
的解析式;
(2)画出函数
的图象;
(3)求函数
的值域.
背景1:在国内投递外埠平信,每封信不超过
付邮资80分,超过
不超过
付邮资160分,超过
不超过
付邮资240,依此类推,每
的信应付邮资
(单位:分).
背景2:如图所示,在边长为2的正方形
的边上有一个动点
,从点
出发沿折线.
移动一周后,回到
点.设点
移动的路程为
,
的面积为
.
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)画出函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(3)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
背景1:在国内投递外埠平信,每封信不超过
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0771acf9b0116e83a098817e8cf588e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0771acf9b0116e83a098817e8cf588e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f55c922dcbe2ca3c2557f997281fcd24.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f55c922dcbe2ca3c2557f997281fcd24.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f45cf1e9fd0d9a95b28098cee9b398f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8de77d3c5ee5d9c7f06f332d8dd79288.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
背景2:如图所示,在边长为2的正方形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fbfcae2cecc98e2d6c16dde6d3ec1c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/8/9d7392ba-079c-43f4-96fd-ca7604c8b858.png?resizew=149)
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4 . 设集中
,下面的对应关系
能构成
到
的映射的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/042d3b9b57c029b95db9d282a66b6239.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca4ff0af96ea467337cb30c4c765b5f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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5 . 下列集合中表示同一集合的是( )
A.![]() ![]() ![]() ![]() |
B.![]() ![]() |
C.![]() ![]() |
D.![]() ![]() |
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6 . 若函数
为奇函数,且当
时,
,则
的值是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c9e06605bfcbcb05445cebec3cde417.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f14be574d4eaf7f7e0d2b28ade7f3ea1.png)
A.![]() | B.![]() | C.100 | D.![]() |
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7 . 函数
的定义域是___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db7ae59d0def6797d924cf43130462b6.png)
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解题方法
8 . 函数
是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/694a2521a9ff643f3754aa3301e847c1.png)
A.奇函数 | B.偶函数 |
C.既是奇函数又是偶函数 | D.非奇非偶函数 |
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解题方法
9 . 奇函数
的定义域是
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4be3a6122273998a74f1ffe23cf01dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/825116eb345f5505ebc8c1cdb8a1f131.png)
A.1 | B.0 | C.![]() | D.![]() |
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10 . 已知函数
,那么
等于( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/318a16f1950d06e5500c76d8f81a507f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1fe17821ea81c6fec60bd5273901bd50.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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