1. It is known that the bisector AD of ∠A intersects BC at D, ⊙O intersects BC at D, intersects AB and AC at E and F respectively, and AD intersects EF at G. (1) Verification: AF FC = GF DC.
(2) Given that AC = 6 cm and DC = 2 cm, find the length of FC and GF.
2. It is known that the quadrilateral ABCD is a parallelogram, extending BA to E, extending DC to F, making BE=DF, AF to BC to H, CE to AD to G. Verification: △ age △ CHF.