Well she picked it up and it slipped out her hands and made a 1 to 1.5 foot drop on to my tile floor. It must have fell on a corner because the glass shattered. Took it to the Apple Store and we have to go back today because apparently it's not covered under warranty (though they claim the glass is 30% harder than plastic

) and it will cost us $200. The "Genius" told us they'll basically replace the phone since it really can't be fixed. Apple is really starting to piss me off with their advertising and false claims.
Different strokes for different folks. We've placed patients on a low mattress bed in the hospital, which is basically a mattress on the floor and people still manage to fall out of bed and end up with a hemorrhage in their brain. I've had patients who have fallen out of buildings and hit their head, and they walk out of the hospital the next day without any indication of anything wrong with them.
Your story, while interesting, is simply unfortunate. There are others on this forum who say that they've dropped their iPhones at higher heights and the durability of the device held up. Of course, no device will ever be completely indestructible no matter what kind of material it is made of. While Apple claimed that the glass is 30% stronger and made of the same material as helicopter windshields, the fact of the matter is it's still glass...and it's not as thick as helicopter windshields are either. Additionally, if it hit at just the right spot, you have to take into consideration that despite the glass, the phone is covered with a steel band. Steel does not absorb energy very well especially when you introduce another hard surface to it; in your case a tile floor. It will act just like a Newton pendulum.
And just to add-on to what others have said, AppleCare only covers something if it's a problem on Apple's part. If you drop your iPhone and it breaks or decide to take it for a swim, that does not count as a problem Apple caused. Ultimately, you already realize that you are at fault and will be paying the annoying $200 to take care of the issue, but maybe it'll make your girlfriend think twice about how careful she can really be with her devices and consider getting a cover/case this time around.
More food for thought...I once had a patient who came in with frostbitten toes which unfortunately had to be amputated. This was caused by walking in freezing cold shallow water with his new boots on. He bought them and walked through the creek, because the tag said waterproof and he thought he would be alright. Can he really be mad at the shoe manufacturer for this misunderstanding or do you now see why most of these posters who reply to your thread are replying in the manner that they are...because they see you as the guy who was wearing the boots?
Not trying to attack you. Just saying.