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【简答题】
如图所示，在平面直角坐标系中，Rt△ABC的斜边AB在x轴上，AB=25，顶点C在y轴的负半轴上，tan∠ACO= 3 4 ，点P 在线段OC上，且PO、PC的长（PO＜PC）是关于x的方程x 2 -（2k+4）x+8k=0的两根． （1）求AC、BC的值； （2）求P点坐标； （3）在x轴上是否存在点Q，使以点A、C、P、Q为顶点的四边形是梯形？若存在，请直接写出直线PQ的解析式；若不存在，请说明理由．
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