解答:(1)证明:∵GD∥AC,E为AD的中点,∴点E也是GF的中点,即GE=FE;(2)解:∵GD∥AC,BD= 1 3 BC,∴BD:BC=GD:CF=1:3.∵CF=12,∴GD=4.∵GD∥AC,∴△DGE≌△AFE.∴AF=GD=4.