中文摘要：

本文通过对已有Jacobi恒等式结果的研究,推广得出具有不同阶余子式所满足的一类推广的Jacobi恒等式并给出了系统的证明.

英文摘要：

In this paper,through the study of the existing Jacobi identity,we can get a kind of generalized Jacobi identity which is satisfied by different order and the system is proved.