If you are on the brink of something, usually something important, terrible, or exciting, you are just about to do it or experience it. [usu on/to/from the N of n] [N-SING 单数名词] 边缘;
Their economy is teetering on the brink of collapse…
他们的经济徘徊在崩溃的边缘。

Failure to communicate had brought the two nations to the brink of war.
沟通不畅使这两个国家濒于战争的边缘。