文[1]给出了具有公共底边的两个三角形的面积之比的计算公式,读后很受启发.作为对此类问题探究的继续,本文给出用坐标计算的方法,供参考.例1(文[1]引例的推广)已知点O是△ABC所在平面内一点(O不在直线BC上),且→OA=λ→OB+μ→OC,求△ABC与△OBC的面积之比.解以直线BC为x轴,线段BC的中垂线为y轴,建立如图1的平面直角坐标系. The article [1] gives the formula of the ratio of the area of ​​two triangles with a common bottom edge, which is inspired by reading. As a continuation of this kind of problem exploration, this paper gives a method of calculating coordinates by reference. Example 1 (Generalization of Reference [1]) Known point O is the point where △ ABC is in the plane (O is not on line BC), and → OA = λ → OB + μ → OC, find the area of ​​△ ABC and △ OBC The solution to the straight line BC as the x-axis, the vertical line segment BC as the y-axis, as shown in Figure 1 to establish a rectangular coordinate system.