从拉梅系数的定义出发，计算了常用的正交曲线坐标系的拉梅系数，并给出了利用拉梅系数表示的线元、面元和体元．结合具体问题，讨论了拉梅系数在运动学和分析力学中的应用，通过分析可知拉梅系数揭示了一类物理问题的数学基础，利用拉梅系数有助于简化对该类问题的理解，减少计算步骤．此外，利用拉梅系数还有利于对力学知识串联整合．

Based on the definition of Lamé coefficient, this paper calculates the Lamé coefficients in the commonly used orthogonal curvilinear coordinate systems, and gives the arc length, panel element and volume element represented by Lamé coefficient. Combined with specific problems, the application of Lamé coefficient in kinematics and analytical mechanics is discussed. Through analysis, it can be seen that the Lamé coefficient reveals the mathematical basis of one kind of physical problems, which is conducive to simplifying the understanding of this kind of problems and reducing the calculation steps. Furthermore, the use of the Lamé coefficient promotes the integration of related mechanics knowledge.