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作者1与华东师范大学的瞿振华老师曾给中国国家集训队提供过以下一道组合几何题.rn题目求最小的正实数α,使得对面积为1的任意凸多边形P,存在平面上一点M,满足P∪Q的凸包的面积不超过α,其中,Q为P关于点M的中心对称图形.
一道集训队试题的背景与另解
【摘 要】
：
作者1与华东师范大学的瞿振华老师曾给中国国家集训队提供过以下一道组合几何题.rn题目求最小的正实数α,使得对面积为1的任意凸多边形P,存在平面上一点M,满足P∪Q的凸包的面积不超过α,其中,Q为P关于点M的中心对称图形.
【机 构】
：
华东师范大学数学科学学院,200241;上海市核心数学与实践重点实验室,200241
【出 处】
：
中等数学
【发表日期】
：
2021年12期
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