首先你要知道什么叫with的复合结构,其实就是with + 宾语（名词或代词）+ 宾补（介词短语,形容词,副词,现在分词,过去分词,不定式,名词）,是一个独立主格结构,在句中做状语,可表原因,伴随等.
如果宾语和宾补之间是主动关系,就用现在分词；如果宾语和宾补之间是被动关系,就用过去分词；如果表示动作还未发生,就用不定式；其他根据句意选用.下面举例：
1.With the door closed,he went out to buy some bread.
他关上门,出去买点面包.
本句中with复合结构的宾语是the door,门是被关,所以宾补（补充说明门的状态）用closed
2.With spring coming on,trees turn green.
春天到了,树变绿了.
本句中with复合结构的宾语是sring,春天是自己来,不是被来,所以宾补和宾语之间是主动关系,用现在分词coming on.
3.With the door open,he came out.（open,形容词）
4.With a lot of homework to do,he had to stay up late.（to do 不定式）
5.With the light on,he went out.（on,副词）
6.With a book in his hand,Tom came into the classroom.（in his hand,介词短语）
7.He died with his daughter yet a baby.（a baby,名词）
明白了吗,有问题再问.