R^3上相交线偶与凸体相交的几何概率问题

A Problem of Geometric Probability for the Intersection of Pairs of Lines Intersecting A Convex Body in R^3

利用在平面中建立的凸体的双弦幂积分理论,研究了空间中凸体的双弦幂积分的一些性质,并在此基础上,讨论了空间上相交线偶与凸体相交这一几何概率问题。

In this paper, we study some properties of double chord-power integrals of a convex body in R^3 by using the theory of double chord-power integrals of a convex body in. Also,on this foundation,the geometric probability that the intersection of pairs of lines intersecting a convex body in R^3 is discussed.