你这句话应该属于6、with+名词（包括名词性短语）/代词
介词with的复合结构,常见形式及用法：
1、with+现在分词
They started
working with the machine running.
2、with+过去分词
He is used to sleeping
with the window closed.
3、with+不定式（to do）
With a lot of homework to do,Tom
cann't go out to play.
4、with+形容词
She left the house with the windows
open(开着的）/closed.（关着的）.这里的形容词有普通形容词,也有像closed,broken等过去分词演变的形容词.但只要明白语义,理解起来并不难.
5、with+副词
Don't leave the room with the lights on.
6、with+名词（包括名词性短语）/代词
The boy killed two birds with a stone his weapon.
7、with+介词短语
The teacher came into the classroom with a book in his hand