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
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