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