∵在平行四边形ABCD中,BD是对角线,EF∥BC,GH∥AB, 　　∴S△ABD=S△DBC,S△BEP=S△BHP,S△GPD=S△DPF, 　　∴S△ABD-S△BEP-S△GPD=S△DBC-S△BHP-S△DPF, 　　∴S▱AEPG=S▱PHCF, 　　∴S▱AEPG+S▱EBHP=S▱PHCF+S▱EBHP, 　　即,S▱ABGH=S▱EBCF, 　　同理,S▱AEFD=S▱CDGH, 　　S四边形ABPG=S四边形CBPF；S四边形ADPE=S四边形CDPH 　　∴图中有5对四边形面积相等,即：S▱AEPG=S▱PHCF,S▱ABHG=S▱EBCF,S▱AEFD=S▱CDGH,S四边形ABPG=S四边形CBPF；S四边形ADPE=S四边形CDPH．