remember doing sth 和 remember having done sth所表达的意思并无区别，只是remember doing sth用得比较普遍.
remember doing/having done/记得做过某事， remember to do sth 记得做某事（事情还没做）。
remember doing和remember having done意思相同,都是"记得做了某事(已经做了)",只是前者用得比较普遍 remember to have done sth 是不正确的,因为remember to do意为"记得去做某事(还没做)"而用have done 表示已经完成,前后矛盾,所以这种说法不正确
关于remember doing / remember having done 见网页： 上面这样写道：remember doing sth 和 remember having done sth 这两个结构所表达的意思并无区别，只是前者用得比较普遍 见许国璋英语第三册第15课 word study中的例子 I don't remember having seen him. 另外的例句 I remember having told Tom soon afterwords. I remember having heard you speak on that subject. remember to do 可以参考这里： 我觉得remember to have done sth 这种用法是错的，因为remember to do本来就是针对以后的事，又何来have done？
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