解题方法
1 . 设函数
的定义域是
,对于任意实数
,恒有
,且当
时,
.
(1)求证:
,且当
时,有
;
(2)判断
在
上的单调性;
(3)试举出一个满足条件的函数
,并说明举例的理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/280860dd039e1305a5ccc455f63e8223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ac82501b461d044f78e7ae5b86cd3c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5456d544e2f8d22c08f3ccee002dad4a.png)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e61c9a7ed0961f8977a21dab37aab396.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e541ea2f855f981c96207070683d388.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5be1d8c6384d7fabddb693b2b7fcdf4a.png)
(2)判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
(3)试举出一个满足条件的函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
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2023高三·全国·专题练习
解题方法
2 . 已知函数
是偶函数,则实数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90cb974876665ca158e3349ffaf3cb5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
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解题方法
3 . 已知函数
若![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2714f1eb0e74a1a31fa2c35275d368e1.png)
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/845c054f6a0bd34c1ad6d946def1eca1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2714f1eb0e74a1a31fa2c35275d368e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/176b87270cb69d82a9b1023430167313.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f31227a9795a5f55aee1e814a42e856b.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2023-06-15更新
|
289次组卷
|
3卷引用:江苏省扬州市2022-2023学年高一下学期开学考试数学试题
解题方法
4 . 函数
的大致图象是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1cccc958eabf3d9f5209902c1cb2cb10.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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5 . 已知函数,则( )
A.![]() ![]() | B.![]() ![]() |
C.![]() ![]() | D.![]() |
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解题方法
6 . 已知函数
为奇函数,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66a22e690299d0bf8a5597f49e5a8b05.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
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7 . 如图,点
是函数
图象上两点,将
的图象向右平移两个单位长度后得到函数
的图象,点
为
图象上点,若
轴且
为等边三角形,则
点的横坐标为( )
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/10/fda9afce-4f94-4e80-bd51-f488381f2eb8.png?resizew=163)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/098a3e7d1f1890863b7483a98b618119.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bee6881a170f6ef9ed5c133b95c2f448.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eaa16d8ca4637c8103fe3844b9338d68.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/10/fda9afce-4f94-4e80-bd51-f488381f2eb8.png?resizew=163)
A.![]() | B.![]() | C.![]() | D.![]() |
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2019-12-16更新
|
392次组卷
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3卷引用:广东省梅州市梅州农业学校2023-2024学年高一上学期期中数学试题
名校
8 . 若函数y=f(x)图象上存在不同的两点A,B关于y轴对称,则称点对[A,B]是函数y=f(x)的一对“黄金点对”(注:点对[A,B]与[B,A]可看作同一对“黄金点对”).已知函数f(x)=
,则此函数的“黄金点对“有( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbc75c994886dbf8e92bdd46edc95cfb.png)
A.0对 | B.1对 | C.2对 | D.3对 |
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2019-03-29更新
|
859次组卷
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5卷引用:山东省潍坊市昌邑市文山中学2022-2023学年高一上学期期末数学试题