without 是没有的意思
由于wihout是介词,所以后面接-ing的形式
without doing sth.是没有做任何事的意思,同时without 和 with 一样,表伴随
例句:1.there is no point for me to stay here without doing anything .
2.what am i doing without you?
3.He stayed at home all the afternoon without doing anything.