1、( )in better time,he would have been a great man.
A.Having been born B.Born C.Being born D.To be born
2、( ) Shakespeare,how many of his plays do you really like?
A.Taking of B.To talk of C.Being talked of D.To be talked of
3、I delayed ( ) your letter because I had been away for a week.
A.answer B.answering C.writing D.to post
4、The thief drove as fast as he could to eacape ( )by the police.
A.to be caught B.he caught C.being caught D.catching
这四道题目老师没讲过我做不来，麻烦看一看，任选两题简单解释一下（貌似是同一类型的）
1、( )in better time,he would have been a great man.
A.Having been born B.Born C.Being born D.To be born
=When he had been born in better time, he would have been a great man.
所以选 B 过去分词作时间状语
2、( ) Shakespeare,how many of his plays do you really like?
A.Taking of B.To talk of C.Being talked of D.To be talked of
＝When you talk of Shakespeare,how many of his plays do you really like?
现在分词作时间状语，主句主语与从句主语是一致的。
3、I delayed ( ) your letter because I had been away for a week.
A.answer B.answering C.writing D.to post
B delay后用动名词作宾语。回信用answer
4、The thief drove as fast as he could to eacape ( )by the police.
A.to be caught B.he caught C.being caught D.catching
eacape后也用动名词作宾语，不过，后面动词与包括被动，被抓，所以用C
1、( )in better time,he would have been a great man.
A.Having been born B.Born C.Being born D.To be born
解析：选B。born 其实是If he were born(虚拟语气）的省略，因为和would的主语相同，因此省略了。
2、( ) Shakespeare,how many of his plays do you really like?
A.Taking of B.To talk of C.Being talked of D.To be talked of
解析：选B。to talk of是说到的意思。
3、I delayed ( ) your letter because I had been away for a week.
A.answer B.answering C.writing D.to post
解析：选B。delay doing sth固定结构表示推迟，回信用answer
4、The thief drove as fast as he could to eacape ( )by the police.
A.to be caught B.he caught C.being caught D.catching
解析;选 C.escape后面也是跟doing.而thief 与catch之间是被动关系，故选C