名校
1 . 定义在R上的函数
满足
,
且
在
上是增函数,给出下列几个命题:
①
是周期函数;
②
的图象关于直线x=1对称;
③
在
上是减函数;
④
.
其中正确命题的序号是________ (请把正确命题的序号全部写出来).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd384d86840b7b158af41f56fe29c7d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78132753bd0d62932f7ff62a7046f7ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/724f1face977df2f57d4004e68d92b6d.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9210e75c35fb455d0446eb7ddba7d79c.png)
④
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f149c425ef684f8b8da6243c6bcb0df6.png)
其中正确命题的序号是
您最近一年使用:0次
名校
解题方法
2 . 设
是定义在
上的三个函数,则以下命题中正确的个数是( )
①若
均为奇函数,则
均为奇函数;
②若
均为
上的严格增函数,则
中至少有一个为
上的严格增函数;
③若
均是以
为周期的函数,则
均是以
为周期的函数;
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc4978f812146b4566467ee255fc1c71.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
①若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7731db37a029c3a1fa1ec07c0f48b612.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc4978f812146b4566467ee255fc1c71.png)
②若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7731db37a029c3a1fa1ec07c0f48b612.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7a19bbab2270fc8e694527e801556cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc4978f812146b4566467ee255fc1c71.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7a19bbab2270fc8e694527e801556cf.png)
③若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7731db37a029c3a1fa1ec07c0f48b612.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc4978f812146b4566467ee255fc1c71.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
A.0个 | B.1个 | C.2个 | D.3个 |
您最近一年使用:0次
解题方法
3 . 已知定义域为R的函数
满足,
,
,
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f046d239310ec05492a5b5a25956da6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275815073d040d04fe4820f9841b78d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a0d8163d0b3037cc011721f533bb5a9.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
名校
解题方法
4 . 设函数f(x)的定义域为R,且函数
的图像关于直线
对称,函数
的图像关于点(3,0)对称,则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e465bd350ceacd10ad0a2de83fc6c43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b650820d7bed48ed67a2869ad8c65ff1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2c3dd8fa2dc8c0c7e255bfb054ad34c.png)
A.4是f(x)的周期 | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
2022-11-11更新
|
871次组卷
|
3卷引用:江苏省盐城市第一中学2022-2023学年高三上学期12月学情调研(五)数学试题
名校
解题方法
5 . 已知函数
的定义域为R,且
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96d705846d9e72523e36077915259b2f.png)
______
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03e78ac1adb7418ff683a25d964d651f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96d705846d9e72523e36077915259b2f.png)
您最近一年使用:0次
2022-11-10更新
|
211次组卷
|
2卷引用:四川省成都市第十二中学2022-2023学年高三上学期10月月考理科数学试题
解题方法
6 . 定义在
上的偶函数
满足
,写出
的一个正周期:______ .
![](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/a99af89ee2b74efd406f64c6adf071dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
您最近一年使用:0次
解题方法
7 . 已知函数
是偶函数,
是奇函数,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f247f09275012788fb78e6add6d3dedb.png)
A.![]() | B.![]() |
C.![]() | D.![]() ![]() |
您最近一年使用:0次
名校
解题方法
8 . 已知函数
定义域为
,
为奇函数,
为偶函数,当
时,
,若
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69adf40d4d5fd6eb1cab1bbf0a251afc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26f009c9edf7260864848e19bf9c0523.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba02fc457aa499ae087b059a0fdd6b55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9bbe7340f691e5bed94073346572dec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8088b594cab4659629417317a78c3510.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75ce414c810c32dc00da76080a6f509c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0bb4ccf67ec1c12304a15c678b209b95.png)
A.![]() | B.1 | C.![]() | D.2 |
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解题方法
9 . 定义在R上的函数
满足
,则下列是周期函数的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58cf01ef9de7863a924ead0293bfaf52.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
10 . 已知定义在
上的函数
满足
,若
在
上是单调函数,且
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0bb4ccf67ec1c12304a15c678b209b95.png)
___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/339b85cca0100adc23472c143f9a5a89.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39a96a7687cfc8d03a483d0583489ae7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d6712fad742f3893f5f9fa7ab79ccfc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f04055bf21fa4c20a90619b2d7eff005.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0bb4ccf67ec1c12304a15c678b209b95.png)
您最近一年使用:0次