中文摘要：

针对高山滑雪中运动员的体重、滑雪板的长度、滑雪板的腰宽以及滑雪道的不同对运动状态的影响，通过分析受力建立力学模型。基于微元的变化建立微积分模型，对模型进行求解验证。最终得到结论：在单一变量的情况下，体重大的具有优势，能够先到达坡底；滑雪板腰宽相同时，长度更长的滑雪板速度更快；在宣雪道上滑行时，全地域滑板比竞技板更快。通过数据验证表明，该模型的建立可以有效地为高山滑雪运动员提供了一种理论知识依据。

英文摘要：

Focusing on the influence of the differences among the weights of athletes, the lengths and widths of snowboards and skis in alpine skiing, the force characteristics are analyzed to establish a mechanical model. Besides, the paper established a calculus model based on the change in micro-element to solve and verify the model. Final conclusion of the study：in the case of a single variable, the weight has an advantage of arriving at its base first; on the condition of the same width of skis, the longer the skis is, the faster it runs; when taxiing on the Xuan rail, full terrain skateboard is faster than competitive plate. Through the data validation, it shows that the establishment of the model can effectively provide a basis theory for alpine athletes.