名校
解题方法
1 . 已知
是定义在R上的奇函数,满足
,有下列说法:
①
的图象关于直线
对称;
②
的图象关于点
对称;
③
在区间
上至少有5个零点;
④若
上单调递增,则在区间
上单调递增.
其中所有正确说法的序号为_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89f4eff3125c5e63a994ba1ad5be58e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acd4109fb738b47a28895440daa1f147.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89f4eff3125c5e63a994ba1ad5be58e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64027ba49b737eb58b4fe366fdccde1b.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89f4eff3125c5e63a994ba1ad5be58e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca46a32df9b79f506ce60f83610da86e.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89f4eff3125c5e63a994ba1ad5be58e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a77a14339b2da6e27733c4c37def6f8c.png)
④若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcd9dd3920eb4f4dbd2e9f34fa7d95cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5c0137d86e02c8cb8ded3d13ffc1cba.png)
其中所有正确说法的序号为
您最近一年使用:0次
2022-10-23更新
|
1151次组卷
|
6卷引用:甘肃省张掖市某重点校2022-2023学年高三上学期期中检测数学(理)试题
甘肃省张掖市某重点校2022-2023学年高三上学期期中检测数学(理)试题甘肃省武威第六中学2022-2023学年高三上学期第三次过关考试理科数学试题广东省广州市第八十六中学2022-2023学年高一上学期期末(线上)数学试题云南省曲靖市第一中学2023届高三下学期2月月考数学试题(已下线)考点07 函数的对称性 2024届高考数学考点总动员【练】(已下线)高一上学期期中考试填空题压轴题50题专练-举一反三系列
名校
2 . 在下列命题中,正确命题的序号为______ (写出所有正确命题的序号).
①函数
的最小值为
;
②已知定义在
上周期为4的函数
满足
,则
一定为偶函数;
③定义在
上的函数
既是奇函数又是以2为周期的周期函数,则
;
④已知函数
,若
,则
.
①函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf93d556716be1d6082a0355a07bfb16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8aae28ca96120a3ec1f4ce541db3580.png)
②已知定义在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0aeeb9b81e3c6a0d36add7093b657832.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
③定义在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9626c180cc029e80e9b3b008038c67d.png)
④已知函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37aa94fb49142178126bf4d6730af798.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33ecda7bfb0a2043306bf7707a136ad0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f74fe8b70a97156754d8e878f6607719.png)
您最近一年使用:0次
2021-07-22更新
|
200次组卷
|
2卷引用:黑龙江省哈尔滨市第九中学2020-2021学年高二下学期期末考试文科数学试题
2024高三·全国·专题练习
解题方法
3 . 已知函数
的定义域为R,且满足对任意的
,
,都有
,
,
,给出下列结论:①
;②
是周期函数;③
可能是偶函数;④
的图象关于直线
对称.其中所有正确结论的序号为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33890c6b0bf167514d44139d9dca0154.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75fe67e4e7f7e3b82af705d2ebe1ac19.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6221b765b27eacf92381961f2a2bb4d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09fb3a26c0932dd65b921996e8df1706.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e25e5b6de957f48ee9c18c6a789bed8f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c63e1c64c42b7f3b7fdc396d4756cab.png)
您最近一年使用:0次
4 . 已知函数
在
上是偶函数,对任意
都有:
,
,
且
时,
,给出如下命题:①函数
在
上为增函数;②直线
是
图象的一条对称轴;③点
是
的对称中心;④函数
在
上有四个零点.其中所有正确命题的序号为___ .
![](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/eb63478132d4c1fef3c17e591919da83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66e68fe28808a08af000c19643a2dc67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/338ff37bebb2000b079ff47b049cb20d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33bd24e647a626899a243a3f3984f90a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/698cf53f76a1d637dfe2732d0a866eec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/882c36d09632b85edc6ba2059052a741.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39cc033406da2cdd342308972c6701f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2ac55c5a8ad17e77e16e842af460186.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/babe9b9725844b213b5243e1c7d98216.png)
您最近一年使用:0次
解题方法
5 . 已知函数
是偶函数,对任意
均有
,则下列正确结论的序号为( )
①
;②
是奇函数;③直线
是
图像的一条对称轴;④记
,则
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24a57996290794e082b21d8f1dfc322a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d002f6523eb2b55e6c70b2b939c5caad.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e17ee5f43412795671704ab0e8d0b2f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7a61de40c2ca48ebd5ccf6cbc9be053.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/224d30ca84f1aeeeda7a718e751a4925.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a80ff303049425be87fc2ef0f309e8c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e18414e37f8007ed9aad25845e223949.png)
A.①②④ | B.①③④ | C.①④ | D.②③ |
您最近一年使用:0次
名校
解题方法
6 . 已知函数
为奇函数,且对定义域内的任意x都有
.当
时,
.给出以下4个结论:
①函数
的图象关于点
成中心对称;
②函数
是以2为周期的周期函数;
③当
时,
;
④函数
在
上单调递减.
其中所有正确结论的序号为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dfab6aa63ed46c055f337113505cbb1c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1864b98153200f5929787295de2c1e38.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec6f310d81acebe2649f8a7344957847.png)
①函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b875c62053ffaad10be0f642b442ab9d.png)
②函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d300a3a6d3270bccac16b34fd7a3cb5b.png)
③当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/047056c99b39c70fa40d3c8178e5b631.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9664cd696f581c64ac35e66febab673.png)
④函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/560bbc204bacf92bfef3a6befdf6cb7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1534293606d7d1cfe081ac18d8f60ee.png)
其中所有正确结论的序号为
您最近一年使用:0次
2022-05-11更新
|
1269次组卷
|
4卷引用:河南省百所名校2022届普通高校招生全国统一考试猜题压轴卷文科数学试题
河南省百所名校2022届普通高校招生全国统一考试猜题压轴卷文科数学试题江西省临川一中暨临川一博中学2021-2022学年高二下学期第二次月考数学(文)试题(已下线)专题10 对数与对数函数(已下线)专题10 对数与对数函数-3
名校
解题方法
7 . 已知函数
是
上的奇函数,对任意
,都有
成立,当
,且
时,都有
,有下列四个结论:
①![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2e0e611119ecac34c752f064aa49df4.png)
②点
是函数
图象的一个对称中心;
③函数
在
上有2023个零点;
④函数
在
上为减函数;
则所有正确结论的序号为___________ .
![](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/eb63478132d4c1fef3c17e591919da83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fbf125838217a7f42364e7aec81cc25.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83a6c0fddb9074dfc96be03b4aa24d2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33bd24e647a626899a243a3f3984f90a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c512b52ae0d7d418128f4c621a15d16.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2e0e611119ecac34c752f064aa49df4.png)
②点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25f6da865cd03d37c7b745cf0eb27bb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
③函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/620acbfcc5f587930985eacbc52946b5.png)
④函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e7ba8c61552431c348394c48db0b0e6.png)
则所有正确结论的序号为
您最近一年使用:0次
2022-07-04更新
|
383次组卷
|
4卷引用:山西省运城市2021-2022学年高二下学期期末数学试题
8 . 已知定义在
上的奇函数
满足
,且
时,
,给出下列结论:①
;②函数
在
上是增函数;③函数
的图像关于直线
对称;④若
,则关于
的方程
在
上的所有根之和为
.则其中正确命题的序号为____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63396f28c78e6f5276bccb0b7a1c818e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fbb01a7f5e9861aa185c6c63fcd58c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29360e4913490c51714090e91351eb67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7e79070b45fe7c6e6485f164b8be18c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9eb53c0560847e76d648116f8bc4de2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/707ea658f3a9359f5740d5aab48f7948.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b1662657747be4f9bcb68e1a203fc82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e31bc0c34811edba74dae3fcaed8f577.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d89b8e18166e2f0d1fcdcedd2e18aa56.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8da45c443af7994a26ffa9d8894e7262.png)
您最近一年使用:0次
2020-01-09更新
|
335次组卷
|
4卷引用:上海市延安中学2017-2018学年高三上学期期中数学试题
名校
解题方法
9 . 已知函数
是
上的偶函数,对
都有
成立.当
,
单调递减,给出下列命题:
①
;
②直线
是函数
图象的一条对称轴;
③函数
在
上有四个零点;
④区间
是
的一个单调递增区间.
其中所有正确命题的序号为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ad5fe274cfc8da2dacfb65801f344ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b54a16fd78a5464d7944e374552ed80b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/790daaa89fc9d093f45023becf765697.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ed571ad27b59c2b48de9ed5eb32a25f.png)
②直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a089c207e39a24d0d82aa853ac2bbb8c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
③函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8254a9fe09d5e3940ad8c1c1c62c105c.png)
④区间
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37ac71e903296a46e243831646eb79dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
其中所有正确命题的序号为
您最近一年使用:0次
名校
解题方法
10 . 已知函数
是定义在
上的偶函数,对于
,都有
(2)成立,当
,
,
且
时,都有
,给出下列四个命题:
①
;
②直线
是函数
的图象的一条对称轴;
③函数
在
,
上为增函数;
④函数
在
,
上有四个零点.
其中所有正确命题的序号为_____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4166972dec0aa3e8694a44eeb941a08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/659835ee8cb3f5d3df1f12ca4c10ed5b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b64f3ed1e97740eab9d782868df7c0a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45340678c2ec1bc8cd68c0a3a2ab8902.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33bd24e647a626899a243a3f3984f90a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9dd8bbf8d8b088f1df100e2347c351c3.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09cc2d590d74ecaf47de3b501f355ff9.png)
②直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a089c207e39a24d0d82aa853ac2bbb8c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
③函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e251dbddf2cf0d081698fb6a1049c1e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/865e903fa5bc9d78ac6ff512ad1df14a.png)
④函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09089756773b2dc8cd9335563f16c3d6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/865e903fa5bc9d78ac6ff512ad1df14a.png)
其中所有正确命题的序号为
您最近一年使用:0次
2017-10-11更新
|
492次组卷
|
3卷引用:2016届山东省潍坊中学高三上学期期末文科数学试卷