如图,已知△abc中,ab=ac,bd和ce分别平分∠abc和∠acb,求证,bd=ce

2025-04-29 05:22:02
推荐回答(1个)
回答1:

证明: 

∵ AB=AC 

∴ ∠ABC =∠ACB

∵ CE平分∠ABC,CE平分∠ACB

∠CBD = 1/2∠ABC     ∠BCE = 1/2∠ACB

∴ ∠CBD =∠BCE

∵ BC=BC

∴ △CBD ≌ △BCE

∴ BD=CE