题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822151126-61968.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822151127-99985.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822151127-15410.png)
(Ⅰ)求
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822151127-10210.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822151127-12400.png)
(Ⅱ)若
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822151127-51089.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822151128-54465.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822151128-13108.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822151128-93370.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822151128-16729.png)
解析
试题分析:(Ⅰ) (1)∵
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822151128-85353.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822151128-85353.png)
又∵sin2θ+cos2θ=1,
∴4cos2θ+cos2θ=1,即cos2θ=
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822151128-64732.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822151129-87020.png)
又θ∈
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822151129-36193.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822151129-98702.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822151129-54024.png)
(Ⅱ)∵5cos(θ-φ)=5(cosθcosφ+sinθsinφ)=
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822151130-81012.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822151130-81012.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822151130-81012.png)
∴cosφ=sinφ,∴cos2φ=sin2φ=1-cos2φ,即cos2φ=
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822151130-80364.png)
∵0<φ<
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822151130-44166.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822151130-13343.png)
点评:若
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822151130-35319.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822151131-15338.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822151131-41099.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822151131-48811.png)
核心考点
试题【已知向量与互相垂直,其中.(Ⅰ)求和的值;(Ⅱ)若,,求的值.】;主要考察你对任意角三角函数的概念等知识点的理解。[详细]
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822151100-71544.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822151030-26966.png)
(1)求
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822151030-37406.png)
(2)设
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822151030-39861.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822151030-40267.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822151030-68865.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822150926-16712.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822150926-23745.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822150927-92610.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822150927-94288.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822150927-60162.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822150927-63827.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822150927-40698.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822150928-42606.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822150928-38180.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822150928-39206.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822150908-98610.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822150908-35198.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822150908-24036.png)
(1)求
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822150909-74201.png)
(2)已知
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822150909-17038.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822150909-24542.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822150909-74663.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822150849-84267.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822150849-77743.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822150850-81409.png)
(Ⅰ)求函数
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822150850-80650.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822150850-79657.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822150850-80650.png)
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