题目
题型:解答题难度:简单来源:不详
已知函数
![](http://img.shitiku.com.cn/uploads/allimg/20190911/20190911053846-79511.png)
(Ⅰ)求函数
![](http://img.shitiku.com.cn/uploads/allimg/20190911/20190911053846-41380.png)
(Ⅱ)函数
![](http://img.shitiku.com.cn/uploads/allimg/20190911/20190911053846-41380.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190911/20190911053846-31270.png)
答案
解:(Ⅰ)
![](http://img.shitiku.com.cn/uploads/allimg/20190911/20190911053846-82183.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190911/20190911053847-39430.png)
∴函数
![](http://img.shitiku.com.cn/uploads/allimg/20190911/20190911053846-41380.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190911/20190911053847-87642.png)
由
![](http://img.shitiku.com.cn/uploads/allimg/20190911/20190911053847-80117.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20190911/20190911053846-41380.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190911/20190911053847-73527.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190911/20190911053847-69874.png)
(Ⅱ)∵
![](http://img.shitiku.com.cn/uploads/allimg/20190911/20190911053848-23513.png)
∴ 先把函数
![](http://img.shitiku.com.cn/uploads/allimg/20190911/20190911053846-31270.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190911/20190911053848-30942.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190911/20190911053848-54170.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190911/20190911053846-41380.png)
解析
核心考点
试题【(本小题满分12分)已知函数.(Ⅰ)求函数的最小正周期和单调递增区间; (Ⅱ)函数的图象可由函数的图象经过怎样的变换得出?】;主要考察你对正弦函数的图象与性质等知识点的理解。[详细]
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20190911/20190911053841-12946.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190911/20190911053841-53181.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190911/20190911053842-57198.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190911/20190911053842-79909.png)
A.![]() | B.![]() | C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20190911/20190911053837-65287.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190911/20190911053837-43795.png)
(2)求函数
![](http://img.shitiku.com.cn/uploads/allimg/20190911/20190911053837-33350.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190911/20190911053834-58606.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190911/20190911053834-18449.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190911/20190911053830-37924.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190911/20190911053831-11943.png)
则函数的解析式为
![](http://img.shitiku.com.cn/uploads/allimg/20190911/20190911053831-96345.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190911/20190911053807-41235.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190911/20190911053807-74767.jpg)
(1)用“五点法”画出函数在长度为一个周期的闭区间上的图像;
(2)求函数的单调递增区间;
(3)若
![](http://img.shitiku.com.cn/uploads/allimg/20190911/20190911053808-35179.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190911/20190911053808-78782.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190911/20190911053808-25034.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190911/20190911053808-12933.png)
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