题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020044615-93619.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020044615-71174.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020044615-30704.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020044615-83893.png)
(Ⅰ)求
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020044616-55780.png)
(Ⅱ)现给出三个条件:①
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020044616-22576.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020044616-69171.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020044616-42504.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020044615-93619.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020044615-93619.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020044616-57265.png)
(Ⅱ)若选①② ,
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020044616-23866.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020044616-51583.png)
解析
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020044615-83893.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020044617-73263.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020044617-17931.png)
(II) 若选①② 由正弦定理可得
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020044617-54866.png)
若选①③ 由余弦定理可得
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020044617-41923.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020044617-48318.png)
解:(Ⅰ)由正弦定理可得
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020044617-48373.png)
整理可得
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020044618-77341.png)
则:
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020044618-22030.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020044616-57265.png)
(Ⅱ)若选①② 由正弦定理可得
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020044617-54866.png)
由两角和与差的公式可得
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020044618-27770.png)
则
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020044616-23866.png)
若选①③ 由余弦定理可得
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020044617-41923.png)
与已知条件③联立解得
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020044618-50505.png)
则
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020044616-51583.png)
核心考点
试题【(本小题满分12分) 已知中,分别为内角所对的边,且满足.(Ⅰ)求;(Ⅱ)现给出三个条件:① ② ③.从中选出两个可以确定的条件,写出你的选择,并以此为依据】;主要考察你对解三角形应用等知识点的理解。[详细]
举一反三
已知
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020044606-51958.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020044606-74359.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020044607-31167.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020044607-47974.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020044607-89167.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020044607-92287.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020044608-90961.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020044608-47462.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020044608-17856.png)
(1)求角
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020044607-47974.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020044608-52221.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020044608-55643.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020044607-89167.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020044607-92287.png)
在
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020044558-45313.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020044558-66133.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020044558-95796.png)
且
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020044558-19934.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020044559-36859.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020044559-75595.png)
求(1)角
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020044559-86174.png)
(2)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020044559-58380.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020044552-69628.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020044553-49290.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020044553-68822.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020044553-68822.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020044546-54918.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020044547-16187.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020044547-93964.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020044547-33367.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020044547-64141.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020044548-85305.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020044542-43866.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020044542-43866.png)
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