设函数y=f (x)是定义域为R的奇函数,且满足f (x-2)=-f (x)对一切x∈R恒成立,当-1≤x≤1时,f (x)=x3,则下列四个命题:
①f(x)是以4为周期的周期函数.
②f(x)在[1,3]上的解析式为f (x)=(2-x)3.
③f(x)在
处的切线方程为3x+4y-5=0.
④f(x)的图象的对称轴中,有x=±1,其中正确的命题是( )
①f(x)是以4为周期的周期函数.
②f(x)在[1,3]上的解析式为f (x)=(2-x)3.
③f(x)在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5be85e4810f6b46a7ce2cf3a0d9dc54f.png)
④f(x)的图象的对称轴中,有x=±1,其中正确的命题是( )
A.①②③ | B.②③④ | C.①③④ | D.①②③④ |
更新时间:2017-10-10 23:25:29
|
相似题推荐
单选题
|
困难
(0.15)
解题方法
【推荐1】已知定义在R上的函数
满足:
为奇函数,
,且对任意
,都有
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/870968d882ce3dda098f58a67c8563c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ddcba9234b3f3aeb8a00dcb5f915be3b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e3c99ca3d73d87d3fdbef88c859dd6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07e2d50bd324256177aee3c04bf55a1a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c64dba78d6ea1dfc620aaebac9b76a5f.png)
A.![]() | B.![]() | C.![]() | D.1 |
您最近一年使用:0次
单选题
|
困难
(0.15)
解题方法
【推荐2】已知
,
都是定义在
上的函数,对任意
,
满足
,且
,则下列说法正确的是( )
![](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/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/109b8acf40088f0385734c68f7b2747f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45233ea15d19b08a43ad016a4f56e49e.png)
A.![]() | B.若![]() ![]() |
C.函数![]() ![]() | D.![]() |
您最近一年使用:0次
单选题
|
困难
(0.15)
名校
【推荐1】已知函数
,下面是关于此函数的有关命题,其中正确的有
①函数
是周期函数;
②函数
既有最大值又有最小值;
③函数
的定义域为
,且其图象有对称轴;
④对于任意的
,
(
是函数
的导函数)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/533f313c331d560588f457bc47e028fe.png)
①函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
②函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
③函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
④对于任意的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5efe66db991b562c73ffb16c1e585870.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7667e3a020f9d2883ffbaaed15e271b1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/724340d69477c0ec2418c392b22b1cab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
A.②③ | B.①③ | C.②④ | D.①②③ |
您最近一年使用:0次
单选题
|
困难
(0.15)
解题方法
【推荐2】已知函数
,
则下列说法不正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd330c3e48fe5f2712a818d1f059bd09.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8042fc8ce5f33d055f581a25b88513a1.png)
A.![]() |
B.![]() ![]() |
C.若函数![]() ![]() ![]() ![]() ![]() |
D.令![]() ![]() ![]() ![]() |
您最近一年使用:0次
单选题
|
困难
(0.15)
名校
【推荐3】设函数
,若关于x的方程
有四个实根
(
),则
的最小值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77b0d0a117eb59082e8508c1e83f4fef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/976d18a5396ba232f0aa38d136f1d749.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8ccd22fd0ca1a8e1468329284f91b6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3604274ad6707a906eba371a9e884144.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53528438c102ba09a2d635a49405cf5e.png)
A.![]() | B.16 | C.![]() | D.17 |
您最近一年使用:0次
单选题
|
困难
(0.15)
名校
【推荐1】定义在
上的函数
,
单调递增,
,若对任意
,存在
,使得
成立,则称
是
在
上的“追逐函数”.若
,则下列四个命题:①
是
在
上的“追逐函数”;②若
是
在
上的“追逐函数”,则
;③
是
在
上的“追逐函数”;④当
时,存在
,使得
是
在
上的“追逐函数”.其中正确命题的个数为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1fda2de9820af4dd6bbb59ab6ec54aaa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1597d5afa293403d63f074adb07cba9b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/208575de4f7422c995dd601c54d264d6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/264b93aa6b21f14144bf1f77be3831e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a3211fdab46b25330ea846208975744.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1fda2de9820af4dd6bbb59ab6ec54aaa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/318a16f1950d06e5500c76d8f81a507f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/078d5da73e5aa679bc163820b7b73f9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aeb49dbba01c4ff5f686ffc8828351b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6aaf4cbcc56a4a2e6372744c8060289.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aeb49dbba01c4ff5f686ffc8828351b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf0086b054ef120408acac806a1b1318.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4af34d22101aa2ec7499fddd8f71e21a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aeb49dbba01c4ff5f686ffc8828351b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d191d6de821fbb06a51b5a20112db6de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72300dd178edeb08d10ee8f2cbfe3f79.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8262f44365e9b3784d62c8350cb66f4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1fda2de9820af4dd6bbb59ab6ec54aaa.png)
A.①③ | B.②④ | C.①④ | D.②③ |
您最近一年使用:0次
单选题
|
困难
(0.15)
名校
【推荐2】定义域为
的函数
满足:
,当
时,
,若
时,
恒成立,则实数
的取值范围是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4811eeb79f8b96a551e31a000c21c43d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5b1af83405d0098ee50062e0cedc40e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6c3cb88017aaff017ebd1b211208db9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66ae8583e0666e73823db7a01b505795.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/663eacf9a511af0cb5a0121725c175b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次