I was on the point of giving up the search when something caught my eye in the bushes.
我正要放弃搜索时突然注意到灌木丛中有什么东西。
The country’s economy is on the point of collapse.
该国经济处于崩溃的边缘。
Examples from the Corpus
be on the point of (doing) something• He was on the point of saying so when he despaired.• This was important, for Bonar Law's healthwas on the point of finally breaking up.• And I was on the point of telling you about Gwendoline.• He thought she might be on the point ofoffering him a nip of whisky but she did not go that far.• Now Propaneis on the point of pulling out because of insufficient interest.• For a second she was on the point ofexecutingAce for insubordination.• She was on the point of saying something but changed her mind.
→ be on the point of (doing) somethingat point1(5)