3.如圖1,直線GH與直線l
1,l
2分別交于B,A兩點(diǎn),點(diǎn)C在直線l
2上,射線AD平分∠BAC交直線l
1于點(diǎn)E,∠GBE=2∠BAE.
(1)求證:直線l
1∥l
2;
(2)如圖2,點(diǎn)Q在直線l
1上(B點(diǎn)左側(cè)),AM平分∠BAQ交l
1于點(diǎn)M,過點(diǎn)M作MN⊥AD交AD于點(diǎn)N,請(qǐng)猜想∠BQA與∠AMN的關(guān)系;并證明你的結(jié)論;
(3)若點(diǎn)P是線段AB上一點(diǎn),射線EP交直線l
2于點(diǎn)F,∠GBE=130°.點(diǎn)N在射線AD上,且滿足∠EBN=∠EFC連接BN,請(qǐng)補(bǔ)全圖形,探究∠BNA與∠FEA滿足的等量關(guān)系,并證明.