一、原题本题来自参考文献文[1]:图1在△ABC中,D是AB上一点(不在中点,例如靠近B点),在AC上求作一点F,使△DCF面积等于△ABC面积一半(图1).二、另解文[1]对原题给出了一种比较直观的作法.读后深受启发,但总有意犹未尽之感.于是,笔者从另一角度思考,给出另一种作法,供参考.为书写方便,本文等式中的“△xyz”均表示△xyz的面积. First, the original title of this article from the reference article [1]: Figure 1 △ ABC, D is AB on a point (not at the midpoint, for example, near the B point), AC made a little F, △ DCF area is equal to △ ABC area of ​​half (Figure 1) .In two, the other solution [1] on the original title gives a more intuitive approach.Inspired by the reading, but there is always unresolved sense.Therefore, I think from another perspective , Gives another method for reference.For the convenience of writing, the “△ xyz” in the equation herein means the area of ​​△ xyz.