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1、第 1 页 共 3 页【中考数学压轴题中考数学压轴题】十大类型之圆备考练习十大类型之圆备考练习一、解答题一、解答题(共共 2 道，每道道，每道 50 分分) 1.如图所示，抛物线与 x 轴交于点 A(1，0)，B( 3，0)两点，与 y 轴交于点 C( 0，3)以 AB 为直径作M，过抛物线上一点 P 作M 的切线 PD，切点为 D，并与M 的切线 AE 相 交于点 E，连接 DM 并延长交M 于点 N，连接 AN，AD (1)求抛物线所对应的函数关系式及抛物线的顶点坐标;(2)若四边形 EAMD 的面积为，求直线 PD 的函数关系式;(3)抛物线上是否存在点 P，使得四边形 EAMD 的面积
2、等于DAN 的面积?若存在，求出点 P 的坐标;若不存在，说明理由2.如图，在平面直角坐标系中，抛物线的图象经过 M(1,0)和 N(3,0)两点，且与轴交于 D(0,3)，直线 l 是抛物线的对称轴. (1)求该抛物线的解析式； (2)若过点 A(-1,0)的直线 AB 与抛物线的对称轴和 x 轴围成的三角形面积为 6，求此直线的解 析式； (3)在（2）的条件下点 P 在抛物线的对称轴上，P 与直线 AB 和 x 轴都相切，求点 P 的坐 标.第 2 页 共 3 页内部资料，请勿外传！#XuyUP2kNXpRWXmA&UE9aQGn8xp$R#͑GxGjqv$UE9wEwZ#QcU
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