本文利用矢量算符在旋转下的全局变换性质给出了其满足的Rodrigues旋转公式的经典推导方法，并将该公式应用于两个物理场景：1. 对发表于本刊的论文 \[闫二斌. 论角动量的态空间. 大学物理，2021, 40(10): 18-21\] 中提到的一个结论进行了深层次的刨析，2. 求解了静磁场部分沿任意方向的拉比问题.

Using the global transformation properties of vector operators under rotation operations, this paper presents a classical derivation of the Rodrigues formula satisfied by general vector operators. The formula is then applied to two physical examples: 1. We provide some further analysis regarding one of the main conclusions in \[YAN Er-bin. On the state space of angular momentum. College Physics, 2021, 40(10): 18-21\], 2. Solution of the Rabi problem with the static magnetic field pointing along an arbitrary direction.