名校
1 . 已知偶函数
的定义域为
,对任意的
满足
,且
在区间
上单调递减,若
,
,
,则
,
,
的大小关系为( )
![](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/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fb19f15fa142fa8be5598817d9c2fc7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a2a5e336b6bcba6354fd366c892dd06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a0b15afeffbde2f150e58f581e0b78d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/908b79d6a82793a84c2ad8352edb2001.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c07d454537c7e4e8d3458f42322c0609.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f484115a9df1b6060d6b14df85c6f38.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35770a47ffcba6bf1d94eceabb416d96.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ee0882f5f575d9e0ae7677efbd41b38.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
2024-06-13更新
|
287次组卷
|
2卷引用:山西省介休市第一中学校2022-2023学年高二上学期开学考试数学试题
2022高一上·全国·专题练习
解题方法
2 . 若定义在
上的奇函数
满足
,在区间
上,有
,则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1d2e119fb24b082a2a4174117ebd317.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7160d93f92089ef36f3dab809d3114b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2538c43cae295f39bd0e0e251bc664d9.png)
A.函数![]() ![]() |
B.函数![]() ![]() |
C.在区间![]() ![]() |
D.![]() |
您最近一年使用:0次
解题方法
3 . 已知定义在
上的函数
满足:
.
(1)求证:
是周期函数,并求出其周期;
(2)若
,
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b83fa0c19ec5fe6c4e44c4d2120744f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38fcec7af3520884b173b29bda6c657a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/372824170ace3d4e6423df6b176db102.png)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38fcec7af3520884b173b29bda6c657a.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/249a976e88133f3b3733f09137cf5c42.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/241553167658572549705dda8cd7c207.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3d2d82de16ab63da8d9187609604ec4.png)
您最近一年使用:0次
名校
解题方法
4 . 已知定义在
上的函数
的图象关于点
对称,且满足
,又
,
,则 ![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c43c3d8bad53a255fc5c9c558e5e2fbe.png)
_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c38f5a40964a0608f11896b04222011.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/115fba0d80b36386de470fc522f09ee4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d8c7bb4fe82c62be38565dae4d303b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d65f752f0b300cfaa0d50361f1002581.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c43c3d8bad53a255fc5c9c558e5e2fbe.png)
您最近一年使用:0次
解题方法
5 . 已知偶函数
满足
,且当
时,
.若函数
恰有4个零点,则
的值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/935799b8d9f3de0c021e2a7df70d96f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1376168658dbe7f5b7f4d75fb1db545a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01e47d77aa8a3cff15aaa7e1e893c761.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96854b48e04bc0c51c55695bbc665598.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
A.5 | B.4 | C.3 | D.2 |
您最近一年使用:0次
名校
解题方法
6 . 已知函数
的定义域为
,
为
的导函数,且
,
,若
为偶函数,则下列结论一定成立的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c0ed188d083966baaae94e6b86064f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22add663bd26e87d972a10dc5fd9ada1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89eea593c79973e97f6f3cdf621cdfc5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c8ac1fbe467c5c4dd4c4852d053d730.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4174ebcd683fd4625ede6fb424d8b9ed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89eea593c79973e97f6f3cdf621cdfc5.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
2023-10-17更新
|
1193次组卷
|
16卷引用:江苏省南京市六校2022-2023学年高三上学期10月联考数学试题
江苏省南京市六校2022-2023学年高三上学期10月联考数学试题山东省潍坊市临朐县实验中学2022-2023学年高三10月月考数学试题(实验班)江西省上高二中2023届高三上学期第三次月考数学(理)试题第五章 一元函数的导数及其应用(B卷·能力提升练)-【单元测试】2022-2023学年高二数学分层训练AB卷(人教A版2019)广东省汕头市2023届高三第一次模拟数学试题(已下线)5.2.3 简单复合函数的导数(分层作业)-【上好课】2022-2023学年高二数学同步备课系列(人教A版2019选择性必修第二册)(已下线)第五章:一元函数的导数及其应用重点题型复习(1)(已下线)广东省汕头市2023届高三第一次模拟数学试题变式题6-10福建省福州格致中学2024届高三上学期10月质检数学试题浙江省金华十校2023-2024学年高三上学期11月月考模拟数学试题(已下线)专题2-1 函数性质(单调性、奇偶性、中心对称、轴对称、周期性)-1(已下线)黄金卷01(2024新题型)2024届河北省承德市部分高中二模数学试题河北省衡水市部分学校2024届高三下学期二模考试数学试题江西省南昌市第十九中学2024届高三下学期第三次模拟考试数学试题辽宁省沈阳铁路实验中学2024届高三第八次模拟考试数学试题
名校
解题方法
7 . 定义在
上的函数
满足
,当
时,
,当
时,
,则
( )
![](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/cab1fdb6192af70b8cbfc47b3145b232.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9dbd0ea604e4290b9c6ee60e6909d4c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70e6fc1face20a218b2daf2e23f03b72.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b16589640a4b86c5c10620b267884982.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29e44284cb19805a584880a686ac3df9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3855152458e132fa8c7347cacd737b9e.png)
A.336 | B.338 | C.337 | D.339 |
您最近一年使用:0次
2023-09-24更新
|
895次组卷
|
3卷引用:安徽省安庆市第七中学2021-2022学年高三下学期高考模拟最后一卷数学试题
安徽省安庆市第七中学2021-2022学年高三下学期高考模拟最后一卷数学试题重庆市四川外语学院重庆第二外国语学校2024届高三上学期九月测试数学试题(已下线)2024年新课标全国Ⅰ卷数学真题平行卷(提升)
名校
解题方法
8 . 已知
是定义在R上的奇函数且满足
为偶函数,当
时,
且
.若
,以下正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e81e15b871dd32b2438ef8025bcc42d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0eac2b31a19918895e5af2d316490e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33e48c3fd6d76b7b998957ea51e4dfd3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42bb28003d53334358dddcbb449ba0b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a79d6596dbd0a79c7bf3120ddbc2793.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
解题方法
9 . 已知函数
的定义域为
,且
,则下列四个结论中正确的编号为______ .
①
;
②函数
为偶函数;
③函数
的一个周期为
;
④
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cb788ae88e457017bb81120b6a2e5ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e3cb1c98992a758613bb623aa2e6d50.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/212fd907cd524cd6e4bbe061ff3cf662.png)
②函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cb788ae88e457017bb81120b6a2e5ee.png)
③函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cb788ae88e457017bb81120b6a2e5ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f8c4c029e552954bd493b49aeab82d5.png)
④
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7fed8fddb10b634eec20e9c789d3d6f.png)
您最近一年使用:0次
解题方法
10 . 已知函数
,
的定义域为
,
为
的导函数,且
若
为偶函数,则下列结论一定正确的是( )
![](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/22add663bd26e87d972a10dc5fd9ada1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13101d0ef18fa187acb84194a7762cc2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次