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【简答题】
如图所示的直角坐标系中，若△ABC是等腰直角三角形，AB=AC=8 2 ，D为斜边BC的中点．点P由点A出发沿线段AB作匀速运动，P′是P关于AD的对称点；点Q由点D出发沿射线DC方 匀速运动，且满足四边形QDPP′是平行四边形．设平行四边形QDPP′的面积为y，DQ=x． （1）求出y关于x的函数解析式； （2）求当y取最大值时，过点P，A，P′的二次函数解析式； （3）能否在（2）中所求的二次函数图象上找一点E使△EPP′的面积为20？若存在，求出E点坐标；若不存在，说明理由．
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