结论(1)△BDE≌△DCF.
结论(2)BE=CF.
结论(3)∠B=∠C.
证明:∵AD是∠BAC的平分线,DE⊥AB,DF⊥AC,
∴DE=DF,
又∵BD=CD,
∴Rt△BDE≌Rt△DCF,
∴BE=CF,∠B=∠C.