open the door,____?反意疑问句 用will you还是won't you,为什么.

won't you
反意疑问句，前后相反

will you. 根据阅读和影视都是这个搭配，应该是属于常用搭配，具体语法不清楚。

will you, won't you二者都可以，但是习惯上使用will you多

祈使句加will you构成反意疑问

两种都行,要根据语气判断
祈使句
当陈述部分是祈使句时,疑问句要根据语气来表达,分三种情况：
1）一般情况下用will you 或won't you.
Give me a hand,will you?
Leave all the things as they are,won’t you?
2)以Let's（听者包括在内）开头的祈使句,前肯后可肯可否,疑问句必须用shall we（shall只用于第一人称）;只有以Let us（听话人不被包括在“us”里面）或Let me开头的祈使句,问句才用will you.
Let us know the time of your arrival,will you?
Let's try again,shall we?
Let me help you,will you?
Let’s have a look on your book,shall we?
3)当陈述句是否定的祈使句时,问句可用will you 或can you .
e.g.don’t make much noise,will/can you?

都行，没必要深究，你可以这样记，祈使句的反义疑问句，除了let＇s开头的用shall　we　外，其它都用will　you