面积比化为向量比：三角形中的向量与面积关系探究
2021-07-26 08:55
本 GeoGebra 范例演示如何将三角形的面积比转化为向量比。通过构造三角形及其内部点，利用向量运算（如正交单位向量、向量分解）计算不同子三角形的面积，并展示面积比与向量比之间的代数关系。涉及多边形构造、线段交点、面积计算及条件判断等操作，适合用于平面几何与向量分析的课堂教学，帮助学生直观理解面积与向量的内在联系。
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