如图,在△ABC中,D、E分别是AB、AC的中点,若DE=3,则BC= .

如图,在ABC中,DE分别是ABAC的中点,若DE=3,则BC=  

答案

6【考点】三角形中位线定理.

【分析】根据三角形中位线定理三角形的中位线平行于第三边,并且等于第三边的一半可知,ED=BC,进而由DE的值求得BC

【解答】解:DE分别是ABC的边ABAC的中点,

DEABC的中位线,

DE=3

BC=2DE=6

故答案是:6

【点评】本题主要考查三角形的中位线定理,中位线是三角形中的一条重要线段,由于它的性质与线段的中点及平行线紧密相连,因此,它在几何图形的计算及证明中有着广泛的应用.

 

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