一、问题的由来“过平面内任意一点作平分三角形面积的直线”这个简约而不简单的问题由文[1]提出后,立即引起广大同行的关注.文[2]通过将相关的三角形同时进行位似、旋转变换,利用比例线段沟通面积之间的关系,从而为这个问题探寻到一个较为简单的路径.但文末的推论(经过除重心以外任意一点有且只有一条 First, the origin of the problem “Any point in the plane for bisecting the area of ​​a straight line” This simple but not simple question raised by the text [1], immediately aroused the attention of the majority of peers. [2] By the relevant Triangle-like, rotational transformation, the use of proportional lines of communication between the relationship between the area, so as to find a simple path for this problem.But at the end of the corollary (except for the center of gravity at any one point there is only one