23.如圖,在四邊形ABCD中;G是DC上的點(diǎn),連接BG,點(diǎn)F是BG上的點(diǎn),在BC上取點(diǎn)H,使CG=CH,連接HF,CF,AF.
(1)①如圖1,點(diǎn)F為正方形ABCD中對角線AC上一點(diǎn),求證:GF=FH;
②如圖2,在正方形ABCD中,若CF⊥BG于F,求證:∠CFH=∠AFB.
(2)如圖3,若四邊形ABCD為菱形,∠CFB=∠BCD.
①直接寫出∠BHF與∠FAB之間的數(shù)量關(guān)系;
②若HF=BH,AF=3,AD=5,求AH的長.