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2007年高考数学大纲明确指出:会用向量方法解决某些简单的平面几何问题.三角形是平面几何中最基本、最重要的图形,向量与三角形的交汇问题已成为近几年高考的热点问题.向量的模与数量积运算具有鲜明的几何背景.下面我们用向量方法来研究三角形的面积问题.
The outline of the mathematics of the college entrance examination in 2007 clearly pointed out that some simple plane geometry problems will be solved by the vector method. The triangle is the most basic and most important figure in the plane geometry. The intersection of the vector and the triangle has become a hot topic in the college entrance examination in recent years. The modular and quantitative product operations of vectors have a distinctive geometric background. Next we use the vector method to study the area of triangles.