As shown in the figure, ad is the middle line of △ ABC, AE: AC = 1:3, ad intersects be at point F, then the ratio of the area of △ ABC to the area of △ ABF is one

As shown in the figure, ad is the middle line of △ ABC, AE: AC = 1:3, ad intersects be at point F, then the ratio of the area of △ ABC to the area of △ ABF is one

When eg / AD is crossed with BC in G, CG = 2 / 3CD = 1 / 3CB, BF: be = BD: BG = 3:4
S△ABF=3/4S△ABE=3/4*1/3S△ABC=1/4S△ABC
The area ratio of △ ABC to △ ABF is 4:1