How can I get graphic to show up on FB with Flash?

My website is going to be in Flash. I will make my blog static.
I want to have a graphic image show up in Facebook. It won’t do that with Flash. It has to be a static page. Does anyone know a way around this and still have the page to go my flash website? I suppose I can always make some sort of splash page to link to Facebook that will have a link to the flash website.