Hi Biao,
The following document describes how to Query for multiple fields using the SOAP API : Query a Contact by Multiple Fields.
And you can query for multiple fields using the REST API with the && operator. For example, to search for a Contact by email address and date created :
- emailAddress='fred.sakr@oracle.com' && createdAt>='1369828886'"
Hope this helps and please let us know if you need more information.
Thanks,
Fred