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歡迎您訪問數學考題練習:如圖所示,在△ABC中,DE∥BC,AD:DB!

數學考題練習:如圖所示,在△ABC中,DE∥BC,AD:DB

更新時間:2024-01-12 16:35:18作者:貝語網校

如圖所示,在△ABC中,DE∥BC,AD:DB=1:2,則下列結論中,正確的是

A.=

B.=

C.=

D.=

試題答案

B

試題解析

根據平行于三角形一邊的直線和其他兩邊相交,所截得的三角形與原三角形相似,再根據相似三角形的對應邊成比例求解則可.

解答:∵DE∥BC

∴△ADE∽△ABC

∴=

∵==

∴=

故選B.

點評:本題考查了相似三角形的判定和相似三角形的性質,對應邊的比不要搞錯.

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