2025年美国国际大学生数学建模竞赛题目+翻译

IMPORTANT CHANGE TO CONTEST RULES FOR MCM/ICM 2025: Teams (Student or Advisor) are now required to submit an electronic copy (summary sheet and solution) of their solution paper by email to . Your email MUST be received at COMAP by the submission deadline of 8:00 PM EST, February 13, 2025. Teams are free to choose between MCM Problem A, MCM Problem B or ICM Problem C.COMAP Mirror Site: For more in: MCM: The Mathematical Contest in ModelingICM: The Interdisciplinary Contest in Modeling 2025 Contest Problems MCM PROBLEMS PROBLEM A: The Leaves of a Tree "How much do the leaves on a tree weigh?" How might one estimate the actual weight of the leaves (or for that matter any other parts of the tree)? How might one classify leaves? Build a mathematical model to describe and classify leaves. Consider and answer the following:• Why do leaves have the various shapes that they have?• Do the shapes “minimize” overlapping individual shadows that are cast, so as to maximize exposure? Does the distribution of leaves within the “volume” of the tree and its branches effect the shape?• Speaking of profiles, is leaf shape (general characteristics) related to tree pro structure?• How would you estimate the leaf mass of a tree? Is there a correlation between the leaf mass and the size characteristics of the tree (height, mass, volume defined by the profile)?In addition to your one page summary sheet prepare a one page letter to an editor of a scientific journal outlining your key findings. 2025 美赛 A 题：一棵树的叶子（数学中国翻译） “一棵树的叶子有多重？”怎么能估量树的叶子（或者树的任何其它部分）的实际重量？怎样对叶子进行分类？建立一个数学模型来对叶子进行描述和分类。模型要考虑和回答下面的问题： • 为什么叶子具有各种形状...