中考数学压轴题之反比例函数

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1、中考压轴题之中考压轴题之 反比例函数反比例函数1、 (常州)已知与是反比例函数( 1)Am ,(23 3)Bm,图象上的两个点kyx(1)求的值;k(2)若点,则在反比例函数图象上是否存在点,( 10)C ,kyxD使得以四点为顶点的四边形为梯形?若存在,求出ABCD, 点的坐标;若不存在,请说明理由D2、 (福州)如图,已知直线与双曲线交于两点,且点的横1 2yx(0)kykxAB,A坐标为4(1)求的值;k(2)若双曲线上一点的纵坐标为 8,求的面积;(0)kykxCAOC(3)过原点的另一条直线 交双曲线于两点(Ol(0)kykxPQ,点在第一象限) ,若由点为顶点组成的四边形面积为PA

2、BPQ,求点的坐标24P3、 (芜湖)已知圆 P 的圆心在反比例函数图象上,并与 x 轴相交于 A、B 两kyx(1)k 点 且始终与 y 轴相切于定点 C(0,1) (1) 求经过 A、B、C 三点的二次函数图象的解析式; (2) 若二次函数图象的顶点为 D,问当 k 为何值时,四边形 ADBP 为菱形OxAyB全员参与型 生产保全9JWKffwvG#tYM*Jg&6a*CZ7H$dq8KqqfHVZFedswSyXTy#&QA9wkxFyeQ!djs#XuyUP2kNXpRWXmA&UE9aQGn8xp$R#͑GxGjqv$UE9wEwZ#QcUE%&qYpEh5pDx2zVkum

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