I can assure you that Apple's AirDrop is not connected with Dropbox whatsoever while if you need more info about it you should contact Apple.
Now, when it comes to our desktop app, the Dropbox software is designed to watch your Dropbox folder and sync any files placed in the folder. Your Dropbox folder is just like any other folder on your hard drive, but with syncing features.
To take advantage of Dropbox, move or copy files into the Dropbox folder. This will place the files into the Dropbox folder. Once Dropbox sees changes in the Dropbox folder, it automatically syncs the new changes to Dropbox servers and to any other computer linked to your account.
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