AD=λAB+(1-λ)AC
这个你懂吗?
AD·BC=AD·(AC-AB)
=[λAB+(1-λ)AC]·(AC-AB)
=λAB·AC+(1-λ)AC·AC-λAB·AB-(1-λ)AC·AB
=(2λ-1)AB·AC+(1-λ)AC·AC-λAB·AB