过O作OM∥BC,交CD于M∵平行四边形ABCD中,AC,BD交于点O∴BO=DO=BD/2∵OM∥BC∴OM/BC=OD/BD=1/2∵BC=6∴OM=3同理可证CM=CD/2=AB/2=4/2=2∵OM∥BC∴CF/OM=CE/CM∵CE=2∴CF/OM=2/4=1/2∴CF=OM/2=3/2