题目
题型:解答题难度:简单来源:不详
![](http://img.shitiku.com.cn/uploads/allimg/20190901/20190901170311-26304.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190901/20190901170311-26304.png)
(1)求ω的值;
(2)将函数y=f(x)的图象向右平移
![](http://img.shitiku.com.cn/uploads/allimg/20190901/20190901170311-47830.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190901/20190901170311-57103.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190901/20190901170311-15576.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20190901/20190901170312-48191.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190901/20190901170312-98842.png)
解析
![](http://img.shitiku.com.cn/uploads/allimg/20190901/20190901170311-26304.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190901/20190901170311-26304.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190901/20190901170311-26304.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190901/20190901170312-86771.png)
又因为函数f(x)的周期为π,且ω>0,所以T=
![](http://img.shitiku.com.cn/uploads/allimg/20190901/20190901170313-21490.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190901/20190901170313-74763.png)
(2)由(1)知,f(x)=2sin
![](http://img.shitiku.com.cn/uploads/allimg/20190901/20190901170313-95294.png)
将函数y=f(x)的图象向右平移
![](http://img.shitiku.com.cn/uploads/allimg/20190901/20190901170311-47830.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190901/20190901170313-13262.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190901/20190901170313-99745.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190901/20190901170314-44915.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190901/20190901170311-57103.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190901/20190901170314-50361.png)
由-
![](http://img.shitiku.com.cn/uploads/allimg/20190901/20190901170314-12086.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190901/20190901170314-50361.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190901/20190901170314-12086.png)
得
![](http://img.shitiku.com.cn/uploads/allimg/20190901/20190901170314-63997.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190901/20190901170314-69998.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190901/20190901170314-63997.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190901/20190901170314-50361.png)
由
![](http://img.shitiku.com.cn/uploads/allimg/20190901/20190901170314-12086.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190901/20190901170314-50361.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190901/20190901170315-85828.png)
得
![](http://img.shitiku.com.cn/uploads/allimg/20190901/20190901170314-63997.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190901/20190901170314-50361.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190901/20190901170314-63997.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190901/20190901170315-44088.png)
故函数g(x)在
![](http://img.shitiku.com.cn/uploads/allimg/20190901/20190901170311-15576.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190901/20190901170312-48191.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190901/20190901170312-98842.png)
核心考点
试题【已知函数f(x)=2sin ωx·cos ωx+2cos2ωx-(其中ω>0),且函数f(x)的周期为π.(1)求ω的值;(2)将函数y=f(x)的图象向】;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/20190901/20190901170144-64251.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190901/20190901170144-73210.png)
(1)求
![](http://img.shitiku.com.cn/uploads/allimg/20190901/20190901170145-90146.png)
(2)求
![](http://img.shitiku.com.cn/uploads/allimg/20190901/20190901170145-90146.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190901/20190901170145-90146.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190901/20190901170145-50830.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190901/20190901170130-59941.png)
A.x=![]() | B.x=![]() | C.x=-![]() | D.x=-![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20190901/20190901170103-75768.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190901/20190901170103-72099.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190901/20190901170104-75684.jpg)
![](http://img.shitiku.com.cn/uploads/allimg/20190901/20190901170044-27999.png)
A.f(x)=-2cos x | B.f(x)=2cos x |
C.f(x)=![]() | D.f(x)=![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20190901/20190901170026-31210.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190901/20190901170026-31210.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190901/20190901170027-20409.png)
A.y=4sin![]() | B.y=-2sin![]() |
C.y=-2sin![]() | D.y=2sin![]() |
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