为何这里用了非谓语to reopen ?

UNC Chapel Hill among the first and largest schools to reopen for in-person classes was also one of the first to reverse course,

sending students home to complete the 百度竞价推广ester online after just 130 covid-19 cases were reported.

为何这里用了非谓语to reopen ? 而不是reopening ? 这里用to reopen的意义？

序数词+名词+to do不定式作定语，名词与不定式之间为逻辑主谓关系，这个不定式表示的动作是已经发生过的动作，即to do是to have done的简略形式。假如改用定语从句，则从句要用完成体。

the first and largest schools to reopen for in-person classes 常用

= the first and largest schools to have reopened for in-person classes 较为少用。

= the first and largest schoolsthat havereopened for in-person classes 常用

用目前分词是没道理的。你为何要用目前分词作定语？？？