向量AP=AB+BP= AB+tBN (BP与BN共线,所以BP= tBN)= AB+t(AN-AB)= AB+t(1/4AC-AB)=(1-t) AB+t/4AC.又因向量AP=m向量AB+2/11向量AC,比较系数得:1-t=m,t/4=2/11。解得m=3/11.