如图所示,在△ABC中,分别以AB、AC、BC为边在BC的同侧做等边△ABE,等边△ACD,等边△BCF

问题描述:

如图所示,在△ABC中,分别以AB、AC、BC为边在BC的同侧做等边△ABE,等边△ACD,等边△BCF
(1)当△ABC满足( )条件时,四边形ADFE是菱形.
(2)当△ABC满足( )条件时,四边形ADFE是矩形.
(3)当△ABC满足( )条件时,四边形ADFE是正方形.
(4)当△ABC满足( )条件时,以A,D,F,E为顶点的四边形不存在.

(1)AB=AC
(2)∠BAC=150°
(3)AB=AC,∠BAC=150°
(4)AB=AC=BC