sb mind sb doing sth 中为什么要用 doing 的形式 ? 用宾补解释也不对,固定搭配也不对.帮帮忙

应是动名词做宾语 mind的用法：
1.would you mind opening the window?(mind+v-ing)
2.would you mind my opening the window?(mind+ 代词+V-ing)
3.would you mind me opening the window?(mind+代词+V-ing)
4.would you mind my student opening the window?(mind+名词+V-ing)
5.would you mind not closing the window?(mind+not+V-ing)
关于mind的回答：
介意：yes,please don't./you'd better not
不介意：of course not /certainly not/not at all/never mind/it doesn't matter.