∵四边形ABCD是平行四边形且BE平分∠ABC,CF平分∠BCD
∴∠ABE=∠CBE=∠AEB;∠DCF=∠BCF=∠DFC
∴AB=AE;CD=DF;AB=CD
而BC=AD=AE+DF-EF=2AB-EF
∵EF=1/4AD=1/4BC
∴BC=2AB-1/4BC
即:5/4BC=2AB
AB:BC=5/8
∵四边形ABCD是平行四边形且BE平分∠ABC,CF平分∠BCD
∴∠ABE=∠CBE=∠AEB;∠DCF=∠BCF=∠DFC
∴AB=AE;CD=DF;AB=CD
而BC=AD=AE+DF-EF=2AB-EF
∵EF=1/4AD=1/4BC
∴BC=2AB-1/4BC
即:5/4BC=2AB
AB:BC=5/8