您好，with 所引导的（介词短语）在句中充当（状语）时，大部分情况下作（伴随状语）；但也可以是（方式状语）（时间状语）（条件状语）（原因状语）。
伴随状语 = I live with my parents.（with my parents 和 live 同时间发生）
方式状语 = He looked at me with a smile.（with a smile 表用什么方式看着我）
= He looked at me smilingly.
时间状语 = With the game over, we all went home.（with the game over 表示时间）
= when the game was over, we all went home.
条件状语 = With me helping him, he finished the project on time.（with me helping him 表示条件，我帮了，他完成了，要是没帮，就无法完成。）
= If I didn't help him, he wouldn't finish the project on time.
原因状语 = With my homework being unfinished, I can't go out to play.（with my homework being unfinished 表示原因，因为功课尚未完成，所以无法出去玩。）
= Because my homework is unfinished, I can't go out to play.