题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020041347-59070.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020041348-86157.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020041348-10424.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020041348-80140.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020041348-10990.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020041348-57276.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020041349-68630.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020041349-88729.png)
(Ⅰ)求角
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020041349-88729.png)
(Ⅱ)若
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020041349-56604.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020041349-88689.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020041347-59070.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020041349-55167.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020041350-28462.png)
解析
试题分析:解:(Ⅰ) 由已知可得,
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020041350-31240.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020041350-70292.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020041351-69184.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020041351-92774.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020041349-55167.png)
(Ⅱ)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020041351-20993.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020041351-22338.png)
又
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020041351-18919.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020041352-47967.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020041352-99098.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020041350-28462.png)
点评:解决的关键是对于向量的数量积化简以及余弦定理和正弦面积公式的综合运用,属于基础题。
核心考点
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020041340-84554.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020041341-86391.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020041340-84554.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020041341-67747.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020041341-19901.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020041341-69478.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020041342-83186.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020041340-84554.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020041341-86391.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020041342-63781.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020041342-95296.jpg)
如图所示,港口
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020041333-29957.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020041334-66220.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020041334-64295.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020041334-26427.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020041334-98184.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020041335-66814.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020041334-26427.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020041335-83340.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020041335-78366.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020041335-15933.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020041335-38912.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020041333-29957.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020041336-13046.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020041330-92454.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020041330-90389.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020041330-13181.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020041322-46768.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020041322-37132.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020041322-98526.png)
已知向量
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020041323-10916.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020041323-26793.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020041323-49302.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020041323-58216.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020041324-48294.png)
(1) 求
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020041324-42001.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020041324-78484.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020041324-26393.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020041325-13609.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020041314-20004.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020041314-69649.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020041314-93411.png)
(1)若
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020041314-14864.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020041315-16278.png)
(2)若
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020041315-91577.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020041315-57853.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020041314-20004.png)
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