take up with中with是介词吗？

Question

如题所述

Answer 1

take up with 是短语“忙于”的意思，with在这里只起到短语搭配的作用，不属于介词。

Answer 2

是的，with此处当然是介词。
His mind was wholly taken up with the question. 他满脑子萦绕的都是那个问题。