题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20190914/20190914041117-61740.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190914/20190914041117-93918.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190914/20190914041118-72084.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190914/20190914041118-93027.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190914/20190914041118-10232.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190914/20190914041117-93918.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190914/20190914041118-15642.gif)
(1)求
![](http://img.shitiku.com.cn/uploads/allimg/20190914/20190914041118-40134.gif)
(2)若
![](http://img.shitiku.com.cn/uploads/allimg/20190914/20190914041119-14916.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190914/20190914041118-40134.gif)
(3)若
![](http://img.shitiku.com.cn/uploads/allimg/20190914/20190914041118-40134.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190914/20190914041119-73764.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190914/20190914041119-73764.gif)
答案
(1)
![](http://img.shitiku.com.cn/uploads/allimg/20190914/20190914041119-21408.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190914/20190914041119-60080.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190914/20190914041120-22080.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190914/20190914041120-71993.gif)
(2)
![](http://img.shitiku.com.cn/uploads/allimg/20190914/20190914041120-30178.gif)
(3)
![](http://img.shitiku.com.cn/uploads/allimg/20190914/20190914041120-54239.gif)
解析
![](http://img.shitiku.com.cn/uploads/allimg/20190914/20190914041121-36613.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190914/20190914041121-61761.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190914/20190914041121-12236.gif)
(1) 最小正周期为:
![](http://img.shitiku.com.cn/uploads/allimg/20190914/20190914041119-21408.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190914/20190914041121-61560.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190914/20190914041120-71993.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190914/20190914041122-30320.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190914/20190914041120-71993.gif)
∴单调递增区间为[
![](http://img.shitiku.com.cn/uploads/allimg/20190914/20190914041119-60080.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190914/20190914041120-22080.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190914/20190914041120-71993.gif)
(2) ∵
![](http://img.shitiku.com.cn/uploads/allimg/20190914/20190914041122-88036.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190914/20190914041122-56490.gif)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20190914/20190914041122-79117.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190914/20190914041120-30178.gif)
(3)
![](http://img.shitiku.com.cn/uploads/allimg/20190914/20190914041123-93205.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190914/20190914041120-71993.gif)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20190914/20190914041118-40134.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190914/20190914041123-82087.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190914/20190914041120-71993.gif)
∵
![](http://img.shitiku.com.cn/uploads/allimg/20190914/20190914041118-40134.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190914/20190914041119-73764.gif)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20190914/20190914041120-54239.gif)
核心考点
试题【已知向量=(,),=(,),设,(1)求的最小正周期及单调递增区间;(2)若,求的值域;(3)若的图象按=(t,0)作长度最短的平移后,其图象关于原点对称,求的】;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/20190914/20190914041113-96311.gif)
A.周期为![]() | B.周期为![]() |
C.周期为2![]() | D.以上都不对 |
![](http://img.shitiku.com.cn/uploads/allimg/20190914/20190914041049-96090.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190914/20190914041050-64092.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190914/20190914041050-36938.gif)
A.![]() | B.0 | C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20190914/20190914041032-71001.gif)
A.![]() | B.![]() |
C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20190914/20190914041034-29550.jpg)
![](http://img.shitiku.com.cn/uploads/allimg/20190914/20190914041029-94740.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190914/20190914041029-21888.gif)
A.![]() | B.2 | C.![]() | D.不能确定 |
![](http://img.shitiku.com.cn/uploads/allimg/20190914/20190914041022-52843.gif)
①与函数
![](http://img.shitiku.com.cn/uploads/allimg/20190914/20190914041023-94569.gif)
②其图象向右平移
![](http://img.shitiku.com.cn/uploads/allimg/20190914/20190914041023-16548.gif)
③与函数
![](http://img.shitiku.com.cn/uploads/allimg/20190914/20190914041023-65655.gif)
则函数
![](http://img.shitiku.com.cn/uploads/allimg/20190914/20190914041023-74964.gif)
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