【題目】在飛機(jī)飛行時,飛行方向是用飛行路線與實際的南或北方向線之間的夾角大小來表示的,如圖,用AN(南北線)與飛行線之間順時針方向夾角作為飛行方向角,從A到B的飛行方向角為35°,從A到C的飛行方向角為60°,從A到D的飛行方向角為145°,試求AB與AC之間夾角為多少度?AD與AC之間夾角為多少度?并畫出從A飛出且方向角為105°的飛行線.

【答案】答案見解析.

【解析】本題考查的是方位角

閱讀題目條件，明確飛機(jī)飛行角的概念，找到南北線與飛行線之間順時針方向夾角，計算其角度解答．

由題意可知∠NAB=35°，∠NAC=60°，∠NAD=145°．

故AB與AC之間夾角為∠NAC-∠NAB=60°-35°=25°，

AD與AC之間夾角為∠NAD-∠NAC=145°-60°=85°．

思路拓展：此題是一道材料分析題，解答時要認(rèn)真閱讀，明確題目條件，特別是題目中的新概念，依據(jù)新概念解答．

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