二阶曲线射影分类方法探讨

Discussion on Classification of Second Curve Projective

判别二阶曲线射影分类方法有自极三角形法、选点法、主子式法、配方法和初等变换法。五种方法可把任给一条二阶曲线的方程化为标准形式,再判断它的类型。它们各有所长,可根据实际要求选择使用。

The way of judging the classification of the second curve projective is the method of self-pole triangle, selected points, mastering type, completing square and elementary transformation. The five methods can transform any equation of the second curve to the standard form, and then judge its type. Each of these methods has advantages, and can be used according to the practical condition.