(2013•增城市二模)如圖,在平面直角坐標(biāo)系xOy中,拋物線y=x
2+bx+c與y軸交于點(diǎn)C,與x軸交于A,B兩點(diǎn),點(diǎn)B的坐標(biāo)為(3,0),直線y=-x+3恰好經(jīng)過B,C兩點(diǎn)
(1)寫出點(diǎn)C的坐標(biāo);
(2)求出拋物線y=x
2+bx+c的解析式,并寫出拋物線的對(duì)稱軸和點(diǎn)A的坐標(biāo);
(3)點(diǎn)P在拋物線的對(duì)稱軸上,拋物線頂點(diǎn)為D且∠APD=∠ACB,求點(diǎn)P的坐標(biāo).