HMMT 十一月 2018 · THM 赛 · 第 1 题
HMMT November 2018 — THM Round — Problem 1
题目详情
- Square CASH and regular pentagon M ON EY are both inscribed in a circle. Given that they do not share a vertex, how many intersections do these two polygons have?
解析
- Square CASH and regular pentagon M ON EY are both inscribed in a circle. Given that they do not share a vertex, how many intersections do these two polygons have? Proposed by: Yuan Yao Answer: 8 Pentagon M ON EY divides the circumference into 5 circular arcs, and each vertex of CASH lies in a different arc. Then each side of CASH will intersect two sides of M ON EY , for a total of 8 intersections.