remember to do 与remember doing

remember to do 与remember doing用法我知道,remember to do,指 记得去做某事,事情还没做.remember doing 指 记得已经做过的事情,事情做了.但是,用to close 还是 closing呢原题是 do you remember ______the door when you leave today?yes,i do.close 我想知道为什么？