both 与 both of 用法上有什么区别?

both 与 both of 用法上有什么区别?
___ are fond of collecting stamps.
A.Both the children B.Both of children
C.My both children D.Both of the my children
我不明白为什么这里D错了,而答案是A...麻烦给简单讲讲,both与both of 基础用法?

本题D选项my和the都是限定词,用来修饰children
所以他们两个只能有一个存在
即去掉其中一个都是对的
both后可直接跟名词,所以 a对的
如果名词前有限定词修饰的话,就必须用 Both of
both 可以单独使用,直接跟名词,或者动词
we both like the film.
we like both the pop music and classical music.
both of 后接名词或者代词,但是名词前必须有限定词the 等
谓语动词用复数
both of us like the film
Both of the students go to school on foot.

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