凸六边形的相对长边与相对短边

On Relatively Long and Short Sides of Convex Hexagon

就 Doliwaka和 Lassak提出的凸 n 边形的相对边问题 ,讨论 n=6的情形 .将凸六边形嵌入到平行四边形内 (边可重叠 ) ,利用对应边的边长比的关系可证任意凸六边形均有相对长边 ,有平行对边的凸六边形必有相对短边 .

Doliwaka and Lassak proposed the problem of convex n-gon′s relatively sides.Convex hexagon is discussed.Convex hexagon H in a parallelogram P.Based on the ratio of the corresponding sides of P and H,show that every convex hexagon has a relatively long side and every convex hexagon with pair of parallel sides has a relatively short side.