一般图形与平行线相交之概率

Probability of General Figure Intersecting Parallel Lines

从蒲丰投针问题出发,利用线段与平行线相交之概率,导出一般的凸多边形与平行线相交之概率,进而利用两边夹原理得出一般的凸图形与平行线相交之概率,最后指出一般的图形与平行线相交之概率和其凸包与平行线相交之概率相同.

From Buffon＇s Problem, by using the formula calculation of the probability of segment intersecting parallel lines, we get the probability of convex polygon intersecting parallel lines, and then by using approximation theorem, we can get the probability of convex figure intersecting parallel lines, and finally, we point out that the probability of general figure intersecting parallel lines is the same as theprobability of its convex hull intersecting parallel lines.