如图,△ABC中,AB=AC,点D、E分别是边AB、AC的中点,点G、F在BC边上,

如图,ABC中,AB=AC,点DE分别是边ABAC的中点,点GFBC边上,四边形DEFG是正方形.若DE=2cm,则AC的长为(  )

  A cm B 4cm C cm D cm

答案

D 解:DE分别是边ABAC的中点,

DE=BC

DE=2cm

BC=4cm

AB=AC,四边形DEFG是正方形.

∴△BDG≌△CEF

BG=CF=1

EC=

AC=2cm

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