∵D、E、F分别是△ABC三边的中点,∴FD∥AC,在△BEC中,则PD= 1 2 EC,又G是AE的中点,∴PD=GE,∴ PD GE = PQ QE =1,即PQ=QE,又 BP PE = BD CD =1,即BP=PE,∴ PQ BE = 1 4 .故答案为: 1 4 .