My blackberry curve 8320 just shut off out of no where and when i turned it on, it had a battery with a blue slash. i used other battery but nothing happend and i prubed the battery in other bb 8120 and its works some one can explait me what happend? and how can i fix it?

Was your phone exposed to any moisture that you know of? If not, I would take the phone into your wireless service provider and have them do some basic trouble shooting for you, to see if this problem is with the battery, or the device itself....... Good luck.

any moisture i just put it in my desk and the next day it was off

If you have already tried replacing the battery with a new one, and you are still having this problem, it might indicate that the problem is a hardware issue, and not the battery........ If your phone is still under the one year warranty period, you should either contact your service provider, or RIM for a replacement unit, or repair.