球类(棋类)比赛或游戏活动由于它们的趣味性和益智性,经常作为初中数学竞赛命题的素材,这类问题往往涉及求比赛人数(队数)、名次和积分.解决此类问题除了通常采用逻辑推理、运用计数原理外,还可以通过建立方程、不等式或函数模型求解.1.代数式模型例1某运动会上有十名运动员参加 Ball games (chess) Games or games often serve as propositions for math contests for junior high schools because of their fun and educational nature, often involving the number of matches (teams), rankings, and points. In addition to the usual logical reasoning, the use of counting principle, but also by establishing equations, inequalities or function model to solve.1 Algebraic model Example 1 a sports meeting to participate in ten athletes