利用拉格朗日乘子法求解二次曲线和二次曲面之间的最小距离，给出了曲线与曲面相切的条件。
With the Lagrange multiplier method, the minimum distance of the center of a circle and a quadric surface was provided and the tangency condition of curve and surface was given.
本文利用特征多项式方程使得二次曲面交线的平面曲线分支的求解简化成平面与二次曲面求交问题。
The planar components and straight line components of the quadric surfaces intersections are studied precisely by means of matrix algebra in this paper.
具有公共对称平面的二次曲面的交线在该平面上的投影为二次曲线。
It is known that the projection of the intersection of quadrics with common plane of symmetry on this plane is a curve of second order.
主要内容有：向量代数、空间的平面和直线、特殊曲面和二次曲面、一般二次曲面和一般二次曲面。
The main content: vector algebra, plane and linear space, special surfaces and secondary surfaces, general quadratic surfaces and general quadric surface.
给出一种简便的二次曲面简化方程的基本定理，特别给出二重零特征根二次曲面简化方程的定理。
This paper presents a basic law of the simplified equation of surface of degree 2, especially the law of the simplified equation of surface of degree 2 with two equal zero roots.
本文根据二次曲面方程的分类，分别讨论了二次曲面在十七种标准形式下的直纹性。
This article, according to the classification of the quadric, under the 17 kinds normal form of the quadric, discussed the rectilinearity of the quadric respectively.
文章利用脐点的性质研究了二次曲面的圆截口问题，并给出了与二次曲面交线为圆的圆截口的方程的一种求法。
In this paper, we make use of the properties of the umbilic to research circle section question of quadric in 3-dimensional Euclidean space. We give the equations of these circle sections.
文章利用脐点的性质研究了二次曲面的圆截口问题，并给出了与二次曲面交线为圆的圆截口的方程的一种求法。
In this paper, we make use of the properties of the umbilic to research circle Section question of quadric in 3-dimensional Euclidean space.
文章利用脐点的性质研究了二次曲面的圆截口问题，并给出了与二次曲面交线为圆的圆截口的方程的一种求法。
In this paper, we make use of the properties of the umbilic to research circle Section question of quadric in 3-dimensional Euclidean space.
应用推荐