Question

初二上全等三角形证明题如图,已知在△ABC中,∠ACB=∠ABC=45°,AB=AC,D为AC中点,AE⊥BD,求证：∠

Answer 1

过点A做AM⊥BC,交BD与点N,

∠ACB=∠ABC=45°

∠BAM=∠ACB=45°,∠CAE=∠ABD,AB=AC

△ABN≌△AEC,AN=CE

∠MAC=∠C=45°,AD=CD,AN=CE,

△AND≌△CED,

∠ADB=∠CDE