23.已知,△ABC中,BC=6,AC=4,M是BC的中點(diǎn),分別以AB,AC為邊向外作正方形ABDE,正方形ACFG,連接EG,MA的延長(zhǎng)線交EG于點(diǎn)N,
(1)如圖1,若∠BAC=90°,求證:AM=
EG,AM⊥EG;
(2)將正方形ACFG繞點(diǎn)A順時(shí)針旋轉(zhuǎn)至如圖2,(1)中結(jié)論是否仍然成立?請(qǐng)說明理由;
(3)將正方形ACFG繞點(diǎn)A順時(shí)針旋轉(zhuǎn)至B,C,F(xiàn)三點(diǎn)在一條直線上,請(qǐng)畫出圖形,并直接寫出AN的長(zhǎng).