再论与二次曲面有交线圆的平面

A Further Discussion on Plane of a Circular Section of Quadratic Surface

运用代数中的二次型理论对二次曲面的三个特征根满足λ1≥λ2≥λ3(λ2≠0)时,与它有交线圆的平面方程进行了研究,给出了求解与二次曲面有交线圆的平面的简捷方法。

This paper mainly discusses,using the theory of quadratic form,plane equation of a circular section of quadratic surface when three characteristic roots are met with the condition of λ_1≥λ_2≥λ_3(λ_2≠0) with algebraic viewpoint and gives a simple and easy solution to the plane of a circular section of quadratic surface.