2024届炎德英才大联考长沙市一中高三月考试卷(六)数学.考卷答案

2024届炎德英才大联考长沙市一中高三月考试卷(六)数学.考卷答案试卷答案,我们目前收集并整理关于2024届炎德英才大联考长沙市一中高三月考试卷(六)数学.考卷答案得系列试题及其答案,更多试题答案请关注微信公众号:考不凡/直接访问www.kaobufan.com(考不凡)

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2024届炎德英才大联考长沙市一中高三月考试卷(六)数学.考卷答案试卷答案

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分析由题意,设从A地出发朝正东方向走2$\sqrt{3}$千米后到达B地,再沿北偏西60°方向走3千米到达C地.则可构建△ABC,利用余弦定理可得方程,从而可求x的值.

解答解:由题意,设从A地出发朝正东方向走2$\sqrt{3}$千米后到达B地,再沿北偏西60°方向走3千米到达C地.
在△ABC中,AB=2$\sqrt{3}$km,BC=3km,AC=xkm,∠ABC=30°
由余弦定理得x2=9+(2$\sqrt{3}$)2-2×3×2$\sqrt{3}$cos30°
解得x=$\sqrt{3}$
故选:A.

点评本题的考点是解三角形,主要考查利用余弦定理求三角形的边,关键是由实际问题抽象出三角形模型,从而利用余弦定理求解,应注意理解方位角.