解答:证明:过点D作DK∥BC,交AB于点K,∴△AKD∽△ABC,△DKF∽△EBF,∴ DK BC = AD AC , DK BE = DF EF ,∴ DK AD = BC AC ,∵BE=AD,∴ BC AC = DF EF ,∴EF?BC=AC?FD.