名校
解题方法
1 . 以下命题正确的是( )
A.函数![]() ![]() |
B.函数![]() ![]() |
C.函数![]() ![]() ![]() ![]() ![]() |
D.已知![]() ![]() ![]() ![]() |
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名校
解题方法
2 . 已知定义域为
的函数
满足下列三个条件:①
的图象关于直线
对称;②对任意的实数
都有
;③
.则下列结论正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c09c5c89b0c2a92f8c4b70e69b0eada.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef00713e73b8357cc7900144f5505bc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/284aa0235523de23381f75593fe208ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e17ee5f43412795671704ab0e8d0b2f5.png)
A.![]() |
B.![]() |
C.函数![]() ![]() |
D.当![]() ![]() |
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解题方法
3 . 函数
、
的定义域均为
,若对任意两个不同的实数
,
,均有
或
成立,则称
与
为相关函数对.
(1)判断函数
与
是否为相关函数对,并说明理由;
(2)已知
与
为相关函数对,求实数
的取值范围;
(3)已知函数
与
为相关函数对,且存在正实数
,对任意实数
,均有
.求证:存在实数
,使得对任意
,均有
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1938c093dd2fbcb752d0eb7a18d143b2.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/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b0a42809befd6c2d5fcaebf08383d8a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e2ea7e2b075e931668e15d3068a2cf9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1938c093dd2fbcb752d0eb7a18d143b2.png)
(1)判断函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df18da1ecd1a83afc4544ee71f00c56b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84d4471ac8220d4be0c584f31f92a846.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ff6838d84b68c6f0d3b93b196d9b08d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ddd29b202b1a583dd854ee0d2917b499.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
(3)已知函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1938c093dd2fbcb752d0eb7a18d143b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24a57996290794e082b21d8f1dfc322a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aea232de27d21a2646fd4520ea0726bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a69f434cc713ab1fe3286e2090f057f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13c5d7449d0220d1c90eccbfc2550478.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1610de8a02820e0048809aa937ed3371.png)
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2024-05-23更新
|
538次组卷
|
3卷引用:上海市杨浦区2024届高三下学期二模质量调研数学试卷
4 . 函数
在
上的图象是一条连续不断的曲线,且与
轴有且仅有一个交点,对任意
,
,
,
,则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f370a1d4dd341e5ab1774a66c66c1204.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd8466638a7b73d4fb96eb8dc40ff431.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/249a976e88133f3b3733f09137cf5c42.png)
A.![]() | B.![]() |
C.![]() ![]() | D.若![]() ![]() |
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5 . 已知函数
是偶函数,且该函数的图像经过点
,则下列等式恒成立的是( ).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25695f095f4b3eda1db9913870032218.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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6 . 对于函数
,若存在非零常数
,使得
,都有
,则称
为广周期函数,广周期为
.已知函数
满足
,则下列结论正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f416151d5478f67f57ad0e126a13656.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d96b743603ab1c10330622f16db78dbe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/154139e6ab6f38c923d112758603846b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66dda90f1adc98af7394261a6f82143e.png)
A.若![]() ![]() |
B.![]() |
C.若![]() ![]() |
D.若![]() ![]() ![]() ![]() ![]() ![]() |
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名校
7 . 已知函数
满足
,当
时,
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33c5c3f7f8c66c5deab16118ecb962e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd8147893347620a7099b55a0cda797b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fde64f4d3c38e43fbdee24eadc4b0dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c2e0bb6d63b7bcaee92a470d58cc399.png)
A.![]() | B.若![]() ![]() |
C.若![]() ![]() | D.若![]() ![]() |
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23-24高一下·全国·课后作业
8 . 讨论函数
,
是否为周期函数,如果是,请指出它的周期.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3e073b3c3007e4e9f7fddc2e4d9ec34.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd4613271f782a90ab580131d09d03d1.png)
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9 . 已知函数
是周期为4的周期函数,且
,则
在区间
上的解析式为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a830452166cb8e1eaa418927d7d9d7c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b227f95c0e578ef5661d8dbba449e776.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
2024-04-01更新
|
266次组卷
|
3卷引用:陕西省渭南市富平县2023-2024学年高一下学期4月月考数学试题
2024高一·全国·专题练习
解题方法
10 . 判断下列各函数是否具有奇偶性
(1)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1d295a39a651ff4b182c792f746ebe7.png)
(2)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10103111f02bf84e12956a5c282a4ec1.png)
(3)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/686810dd2089a4a3a772b8a2546dfb37.png)
(4)
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6070f2ee5e48cce77eb4a2cb9f11ccfb.png)
(5)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3df1b38fdab64521c3e0888876fa387.png)
(6)
;
(7)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/990387f736ce73715cb41868664db7da.png)
(8)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1d295a39a651ff4b182c792f746ebe7.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10103111f02bf84e12956a5c282a4ec1.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/686810dd2089a4a3a772b8a2546dfb37.png)
(4)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b1c079afd1b058adc67a50f48f3d466.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6070f2ee5e48cce77eb4a2cb9f11ccfb.png)
(5)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3df1b38fdab64521c3e0888876fa387.png)
(6)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12ac4cdc066c910fca5966f968d3111a.png)
(7)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/990387f736ce73715cb41868664db7da.png)
(8)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9117f2d12eb2294ddf3d2e33b52c8fdc.png)
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