2.在矩形ABCD中,AB=6,AD=8.點(diǎn)P是射線BC上的動(dòng)點(diǎn),聯(lián)結(jié)AP.
(1)如圖1,當(dāng)DP⊥AC交AC于點(diǎn)E時(shí),求tan∠BAP的值;
(2)如圖2,當(dāng)點(diǎn)P在BC邊上時(shí)(與端點(diǎn)B,C不重合),過點(diǎn)P作AP的垂線,交CD于點(diǎn)F,交AC于點(diǎn)G.設(shè) BP=x,
=y.求y關(guān)于x的函數(shù)關(guān)系式,并寫出定義域;
(3)將△ABP沿直線AP翻折,點(diǎn)B落在點(diǎn)Q處,直線PQ交邊AD于點(diǎn)M,當(dāng)
時(shí),求BP的長(zhǎng).