【中考数学压轴题】十大类型之圆备考练习

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1、【中考数学压轴题】十大类型之圆备考练习一、解答题(共2道，每道50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

2、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3页共3页内部资料，请勿外传！9JWKffwvG#tYM*Jg&6a*CZ7H$dq8KqqfHVZFedswSyXTy#&QA9wkxFyeQ^!djs#XuyUP2kNXpRWXmA&UE9aQ@Gn8xp$R#͑Gx^Gjqv^$UE9wEwZ#Q

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