to experience something for the first time, especially something unusual or out of the ordinary

他一辈子没出过远门，这回坐飞机出国旅游可算是破题了。

verb · to introduce the theme of a composition or state the gist at the outset, as in traditional essay writing

他在这篇论文的开头精辟地完成了破题。

to begin addressing a complex issue or to find a breakthrough for a difficult problem

我们要从最基础的工作做起，为解决这个难题寻找破题之策。