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题目:(2013年南京)如图,AD是圆O的切线,切点为A,AB是圆O的弦,过点B作BC∥AD交圆O于点C,连结AC,过点C作CD∥AB,交AD于点D,连结AO并延长交BC于点M,交过点C的直线于点P,且∠BCP=∠ACD.(1)判断直线PC与圆O的位置关系,并说明理由.(2)若AB=9,BC=6,求PC的长.
Title: (2013 Nanjing) As shown in the figure, AD is the tangent of the circle O, the tangent point is A, AB is the circle O of the string, the point B BC // AD cross circle O at point C, CD // AB, pay AD at point D, connect AO and extend BC at point M, intersect the straight line of point C at point P, and ∠BCP = ∠ ACD. (1) Determine the position relationship between line PC and circle O, And explain the reason. (2) If AB = 9, BC = 6, find the PC’s length.