关于变态二阶曲线的研究

Research on Abnormal Two-stage Curve

利用射影变换和二阶曲线方程3 0,1∑=ij=aijxi x j中系数的对称性aij=a ji(i=1,2,3;j=1,2,3)两种方法证明了变态二阶曲线为两条直线:实直线或虚直线.

It can be proved that abnormal two-stage curve are two straight lines： real straight line and dashed straight line by using projection conversion and symmetry of the coefficients aij =aji （ i=1,2,3; j=1,2,3 ） in the equation of abnormal 3 two-stage curve ∑i,j=13aijxixj = 0.