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【题目】在飞机飞行时,飞行方向是用飞行路线与实际的南或北方向线之间的夹角大小来表示的,如图,AN(南北线)与飞行线之间顺时针方向夹角作为飞行方向角,AB的飞行方向角为35°,AC的飞行方向角为60°,AD的飞行方向角为145°,试求ABAC之间夹角为多少度?ADAC之间夹角为多少度?并画出从A飞出且方向角为105°的飞行线.

【答案】答案见解析.

【解析】本题考查的是方位角

阅读题目条件,明确飞机飞行角的概念,找到南北线与飞行线之间顺时针方向夹角,计算其角度解答.

由题意可知∠NAB=35°∠NAC=60°∠NAD=145°

ABAC之间夹角为∠NAC-∠NAB=60°-35°=25°

ADAC之间夹角为∠NAD-∠NAC=145°-60°=85°

思路拓展:此题是一道材料分析题,解答时要认真阅读,明确题目条件,特别是题目中的新概念,依据新概念解答.

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