从图上可以看出:(以下向量均省略箭头)
OE=OA+AE
=OA+1/2*AD
=OA+1/2*(AB+BD)
=OA+1/2*(OB-OA+1/2*BC)
=OA+1/2*(OB-OA+1/2*(OC-OB))
=OA+1/2*(1/2*OB-OA+1/2*OC)
代入各向量符号:
OE=a+1/2*(1/2*b-a+1/2*c)
=a+1/4b-1/2a+1/4c
=1/2a+1/4b+1/4c
从图上可以看出:(以下向量均省略箭头)
OE=OA+AE
=OA+1/2*AD
=OA+1/2*(AB+BD)
=OA+1/2*(OB-OA+1/2*BC)
=OA+1/2*(OB-OA+1/2*(OC-OB))
=OA+1/2*(1/2*OB-OA+1/2*OC)
代入各向量符号:
OE=a+1/2*(1/2*b-a+1/2*c)
=a+1/4b-1/2a+1/4c
=1/2a+1/4b+1/4c