△ABC中,已知CE⊥AB于点E,DF⊥AB于点F,AC‖ED,CE是∠ABC的平分线,求证∠EDF=∠BDF.

∵CE是∠ABC平分线,且CE⊥AB∴你题有错误,如果改成△ABC中,已知CE⊥AB于点E,DF⊥AB于点F,AC‖ED,CE是∠ACB的平分线,求证∠EDF=∠BDF.证明：∵CE⊥AB,DF⊥AB∴CF‖DF∴∠ECB=∠BDF,∠CED=∠EDF又∵AC‖ED∴∠CED=∠AC...