the rapid growth of short messages which are sent by mobile phones the number of criminal

问题补充：

the rapid growth of short messages which are sent by mobile phones, the number of criminal cases through short messages are increasing.

A. For

B. By

C. As

D. With

答案：

A. For

B. By

C. As

D. With

解析：题意：随着手机发送短信数量的激增，通过短信犯罪的案例也在增长。表示“随着……”，as 是连词，后接句子；with 是介词，后接名词。