文章回顾性地证明得出三个关于质点系的动能定理，即惯性（或地面）参考系下质点系的动能定理、关于质心的动能定理、质心参考系下质点系的动能定理，指出它们之间的相互关系，并将它们应用于两个实例，揭示出滑动摩擦力对边滑边滚小球做负功的某些特殊机制．文中还顺带证明了其他的一些熟知的关系式．文章的内容对于基础物理教学、研究、考试，或均有一定的参考和利用价值．

The article retrospectively proves three kinetic energy theorems about particle systems, namely the kinetic energy theorem about particle systems in inertial (or ground) reference frames, the kinetic energy theorem about the center of mass, and the kinetic energy theorem about particle systems in the center of mass reference frame. It points out their interrelationships and applies them to two examples, and reveals some special mechanisms by which sliding friction force do negative work on a rolling and sliding small ball. In the article, some other well-known relational expressions are incidentally proved as well. The content of the article has certain reference and utilization value for basic physics teaching, research, and examinations.