have you studied recently?还是 did you have studied recently?

have作助动词,所以只有have you studied recently正确.
have做助动词与动词的过去分词一起构成现在完成时和过去完成时.
Great changes have taken place the last two years.(JBⅥL3)
They said that the Arab had stolen their camel.(JBⅤL4)