自由泳不同距离比赛速度分配策略研究：结合潘展乐赛事表现与数值优化方法

nalyzing the impact of physical energy consumption characteristics under different competition conditions on speed distribution strategies based on the actual performance of swimmers in competitions is of great significance. A scientific and reasonable speed distribution strategy depends on an in - depth understanding of physical energy consumption and the competition process. This paper proposes an optimization method for speed distribution strategies in freestyle swimming based on a physical energy consumption model and numerical optimization algorithms. By analyzing the data of Pan Zhanle in freestyle swimming competitions of different distances, a mathematical model of the relationship between physical energy consumption and speed was constructed, and the gradient descent method and the fourth - order Runge - Kutta numerical integration method were used to solve it, obtaining the optimal speed distribution plans for competitions of different distances. The research shows that this optimization method can effectively improve the performance in freestyle swimming competitions, demonstrating good results in competitions of different distances. It provides strong theoretical support and practical guidance for athletes in formulating training and competition strategies.