+1Liberty wrote: I would try to at least appear co-operative. Maybe just the words."He tried to kill me." , My name is "Fill in the Blank", " I'm not feeling so hot. Can I answer your questions at another time?"
I wouldn't want to alieniate the responding officer, I would rather have him on my side. While blabbing isn't advisable, being polite might be a good idea.
I think the idea is to strike a balance. Be cooperative, identify yourself, make sure the cops know that the BG was a threat to your life, and then stop talking. Tell them you will be happy to address all of their questions when you have had a chance to get over the shock of the situation and have consulted with your attorney.