题目如图,BDBDBD,ACACAC相交于点PPP,连接ABABAB,BCBCBC,CDCDCD,DADADA,∠DAP=∠CBP\angle DAP=\angle CBP∠DAP=∠CBP.(1)(1)(1)求证:△ADP\triangle ADP△ADP∽△BCP\triangle BCP△BCP；(2)(2)(2)直接回答△ADP\triangle ADP△ADP与△BCP\triangle BCP△BCP是不是位似图形?(3)(3)(3)若AB=8AB=8AB=8,CD=4CD=4CD=4,DP=3DP=3DP=3,求APAPAP的长.知识点：位似变换章节：图形的变化 / 图形的相似
如图,,相交于点,连接,,,,.如图,,相交于点,连接,,,,.如图,,相交于点,连接,,,,.