名校
1 . 已知定义在R上的函数y=g(x)满足条件g(x+3)=﹣g(x),且函数
为奇函数,给出以下四个命题:
(1)函数g(x)是周期函数;
(2)函数g(x)的图象关于点
对称;
(3)函数g(x)为R上的偶函数;
(4)函数g(x)为R上的单调函数.
其中真命题的序号为_____ (写出所有真命题的序号).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/185bedab6540daa7cbbf58c1556ed8b9.png)
(1)函数g(x)是周期函数;
(2)函数g(x)的图象关于点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d673e21f5946039968eb97f09d9d7479.png)
(3)函数g(x)为R上的偶函数;
(4)函数g(x)为R上的单调函数.
其中真命题的序号为
您最近一年使用:0次
名校
2 . 已知定义在
上的奇函数
满足
,
,
为数列
的前
项和,且
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5c2561f713d9fc9f50bb9843d0b1f04.png)
_________ .
![](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/0dc205e71dd9bf6d9ecc47c0b0d4f1ed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/249a976e88133f3b3733f09137cf5c42.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b8f24da740d0d11ee85e5086de4e060.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5c2561f713d9fc9f50bb9843d0b1f04.png)
您最近一年使用:0次
2019-10-21更新
|
1159次组卷
|
6卷引用:安徽省安庆市潜山市第二中学2019-2020学年高二下学期开学考试数学(文)试题
名校
解题方法
3 . 若对任意的
,都有
,且
,
,则
的值为____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb63478132d4c1fef3c17e591919da83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9c8ebc2a21155909f8c045ace3c68bc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc32c2bbc0a4ea29784c84bed56c07ed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c810c0799c6ed9e55617d228136e93b1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67fb73ef2c87827bead4d5798f52026c.png)
您最近一年使用:0次
2014·江西南昌·二模
名校
4 . 如图放置的边长为1的正方形
沿
轴滚动,点
恰好经过原点.设顶点![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
的轨迹方程式
(
),则对函数
有下列判断:
①函数
是偶函数;
②对任意的
,都有
;
③函数
在区间
上单调递减;
④
.
其中判断正确的序号是 .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a351136b18bc7d3bd5122332772ab23b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0203b006524305c3d8ee0b6c34cd872b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4166972dec0aa3e8694a44eeb941a08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
①函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
②对任意的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4166972dec0aa3e8694a44eeb941a08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94f91ba0d869011ba04651d2d4c60825.png)
③函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44284ff1ea50429a0610e13363be6080.png)
④
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab2e9ae97abf02ea473e604f926e3bec.png)
其中判断正确的序号是 .
![](https://img.xkw.com/dksih/QBM/2017/2/8/1625057111908352/1625057112465408/STEM/44c201c807d14a1999d9305a9de4dd19.png?resizew=279)
您最近一年使用:0次
2017-02-16更新
|
618次组卷
|
4卷引用:2014届江西省南昌市高三第二次模拟考试理科数学试卷
(已下线)2014届江西省南昌市高三第二次模拟考试理科数学试卷2017届河南南阳一中高三理上学期月考四数学试卷辽宁省丹东市凤城市第一中学2019-2020学年高三上学期第一次月考数学(理)试题安徽省芜湖市2020-2021学年高二下学期期中联考理科数学试题