圆锥曲线焦点弦的新视角

圆锥曲线焦点弦,是高考和竞赛的热点,前些年仅以焦点弦长度和斜率（或倾斜）之间的关系出现。但是,自平面向量进入高中数学课本以后,焦点弦问题更加丰富多彩,研究空间也更加宽阔。文章从共线向量和向量数量积的角度对圆锥曲线焦点弦作深入的研究,得到几个重要的向量性质。

The New Perspective for the Chord of Conic Section

The chord of the conic section is attractive and the hotpot of college entrance examinations and contests. In prior years, the problem only appears in seeking relationship between the length of the chord and slope. However, the chord problem becomes more complex and space for study becomes larger since the introduction of plane vector. The paper studies the chord of the conic section and obtains several important vector properties from the angle of collinear vectors and vectors quantity product.