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歡迎您訪問數學考題練習:邊長為a的等邊三角形的面積為!

數學考題練習:邊長為a的等邊三角形的面積為

更新時間:2024-01-12 16:27:47作者:貝語網校

邊長為a的等邊三角形的面積為

A.a2

B.a2

C.a2

D.a2

試題答案

C

試題解析

作出等邊三角形一邊上的高,利用60°的正弦值可得三角形一邊上的高,乘以邊長除以2即為等邊三角形的面積.

解答:解:如圖作AD⊥BC于點D.

∴AD=AB×sin∠B=a,

∴邊長為a的等邊三角形的面積為×a×a=a2,故選C.

點評:考查三角形的面積的求法;利用60°的正弦值得到等邊三角形一邊上的高是解決本題的突破點.

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