题目内容
如图,某海轮以30海里/小时的速度航行,在点A测得海面上油井P在南偏东60°,向北航行40分钟后到达点B,测得油井P在南偏东30°,海轮改为北偏东60°航向再航行80分钟到达点C,求P、C间的距离。
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PC=20
海里
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试题分析:解:依题意得:
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在三角形PAB中,结合正弦定理得:
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解得
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在三角形PBC中,由勾股定理得:
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点评:解三角形的步骤:第一步是画图(三角形),第二步是标出元素(角度,边长),第三步由图形寻求解题的过程。
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