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利用拉格朗日方程，推证了质点复合运动的加速度合成定理和球坐标系下质点运动加速度的计算公式。研究结果表明了力学理论中的动力学和运动学之间的统一性。“,”The Lagrange equation is a general equation for dynamics of the particle systems. It is used to deal with the problems of kinematics of particles in this paper. The law for the acceleration of combined motion of particles and the formulas for the motion of particle under the spherical coordinate are obtained by the Lagrange equation. The consistence of the dynamics and kinematics is shown by the research results.