∵DE//AC ∴∠EDA=∠DAC 又∵∠BAD=∠DAC ∴∠EDA=∠BAD ∴AE=DE 又∵EF垂直于AD ∴EF是AD的垂直平分线 ∴AF=DF ∴∠DAF=∠ADF ∵∠DAF=∠DAC+∠FAC ∠ADF=∠DAB+∠B ∴∠FAC=∠B