语法填空中after之后是加动词的名词时态还是应该用它的ing时态？

回答如下：

after既是介词也是从属连词。 它作介词时，后跟名词、代词、动名词作宾语，但不能跟分词；作从属连词时，它后跟从句。例如：

After the meeting he returned to the school.

We didn't run after him / the thief.

I went home after finishing my homework.

After he had done the work, he went home.