令AB=S,BC=S1,则AC=√3S1,∠ABC=120cos∠ABC=(S∧2+S1∧2-(√3S1)∧2)/(2S*S1)-1/2*2S*S1=(S∧2-2S1∧2)S∧2+S*S1-2S1∧2=0(S+2S1)(S-S1)=0S=S1,S=-2S1(舍)角度sin∠ABC/(√3S1)=sin∠ACB/(S1)sin∠ACB=1/2∠ACB=30°甲船沿着北偏东30°方向前进