名校
1 . 已知函数
的图象相邻两条对称轴间的距离为
,且过点
.
(1)若函数
是偶函数,求
的最小值;
(2)令
,记函数
在
上的零点从小到大依次为
、
、
、
,求
的值;
(3)设函数
,
,如果对于定义域D内的任意实数
,对于给定的非零常数
,总存在非零常数
,若恒有
成立,则称函数
是
上的
级周期函数,周期为
.是否存在非零实数
,使函数
是
上的周期为
的
级周期函数?请证明你的结论.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e3a6f7d56d452d8a45e1ff3136c6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ddcfe70fcf6c4adf6fd7b02911c2cd36.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11d655ee6d4c2285b6f59652360862d2.png)
(1)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0522ef90d8c6cb8b7953fda724f5744c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5a771f2e80c8a29ed2ebd76498b0f49.png)
(2)令
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81b68b92048e0821075a7fc96adf9728.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e95ba2619fbee91ab707560adb1e680.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daa5e9bd516f6282483b92cfe6074623.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3282e5fde4ae53fcb1bb072a685304c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf143ca6acd9bafcce6716f4e6f2d9a3.png)
(3)设函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/661249bf6499017f9e5e03db3fcd93d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e02cab1add26335b3cb43d5b54c7c853.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6be4d938899fe55028288a66a42a6aa6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/544f91d4fb22c571db9f8481b72a0419.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec9b866a5a62adebf22d727cbe7b7f83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
您最近一年使用:0次
2023-06-16更新
|
511次组卷
|
3卷引用:江西省宜春市丰城中学2023-2024学年高一下学期第一次段考(3月)数学试题
名校
2 . 已知函数
的部分图象如下图所示.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/22/2a8c5b30-20f5-4f39-b178-cb0fac4bc648.png?resizew=170)
(1)求函数
的解析式;
(2)已知关于x的方程
在
内恰有两个不同的解
,
.
①求实数
的取值范围.
②证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7bd53c018e24caee7d661de800a1573.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/22/2a8c5b30-20f5-4f39-b178-cb0fac4bc648.png?resizew=170)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
(2)已知关于x的方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca9a696ab843d9dfd2f718cec4760823.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b0e6ecdea5cd5a1a31b61bbd2671937.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
①求实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
②证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0932b838c884d09a225396da0eefe591.png)
您最近一年使用:0次
2020-03-16更新
|
897次组卷
|
2卷引用:江西省景德镇一中2020-2021学年高一上学期期中考试数学(2班)试题