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1、反比例函数复习一、知识点梳理：1、反比例函数的概念2、反比例函数的图像3、反比例函数的性质4、反比例函数解析式的确定5、K的绝对值的意义反比例函数涉及到的题目难度多位中档，重点和难点是反比例函数有关的综合问题。二、题目类型：1、反比例函数概念、图像与性质例 1：若反比例函数ykx的图象经过点(3,2)，则 k 的值为()A 6B6C 5D5(2)已知反比例函数y1x，下列结论不正确的是()A图象经过点(1,1)B图象在第一、三象限C当 x1 时，0y1 D当 x0 时，y 随着 x 的增大而增大（3）已知点 A(1,y1),B(2,y2),C(-3,y3),都在反比例函数xy6的图象上,则 y
2、1、y2与 y3的大小关系(从小到大)为().A.y3y1y2B.y1y2y3C.y2y1y3D.y3y2y12、反比例函数与几何图形的面积例 2：如图，已知双曲线ykx(k0 时，y 随 x 的增大而增大，则m 的值是()A 1 B小于12的实数C 1 D1 3、双曲线12yy、在第一象限内的图象如图，14yx，过1y上的任意一点A，作x轴的平行线交2y于B，交y轴于 C，若1AOBS，则2y的解析式是4、已知点 A 是反比例函数(0)kykx的图像上一点，ABy轴于点 B，且 ABO的面积为3，则k的值为5、直线122yx交x轴于点A，交y轴于点B，交双曲线kyx于点C，A、D 关于y轴对
3、称，若6S四边形 OBCD，则k6、正比例函数(0)ykx k与反比例函数2yx的图象相交于A、C两点，过 A 作x轴的垂线，交x轴于点 B，过 C 作x轴的垂线，交x轴于点 D，则四边形ABCD的面积为7、如图，(0)ykx k与4yx交于 A、B两点，过A 作ACy轴于点 C，则 BOC的面积为文档编码:CK4C8A1K5B7 HL8V8P6X3X3 ZM4Z7H1Y3U2文档编码:CK4C8A1K5B7 HL8V8P6X3X3 ZM4Z7H1Y3U2文档编码:CK4C8A1K5B7 HL8V8P6X3X3 ZM4Z7H1Y3U2文档编码:CK4C8A1K5B7 HL8V8P6X3X3 Z
4、M4Z7H1Y3U2文档编码:CK4C8A1K5B7 HL8V8P6X3X3 ZM4Z7H1Y3U2文档编码:CK4C8A1K5B7 HL8V8P6X3X3 ZM4Z7H1Y3U2文档编码:CK4C8A1K5B7 HL8V8P6X3X3 ZM4Z7H1Y3U2文档编码:CK4C8A1K5B7 HL8V8P6X3X3 ZM4Z7H1Y3U2文档编码:CK4C8A1K5B7 HL8V8P6X3X3 ZM4Z7H1Y3U2文档编码:CK4C8A1K5B7 HL8V8P6X3X3 ZM4Z7H1Y3U2文档编码:CK4C8A1K5B7 HL8V8P6X3X3 ZM4Z7H1Y3U2文档编码:CK4C8
5、A1K5B7 HL8V8P6X3X3 ZM4Z7H1Y3U2文档编码:CK4C8A1K5B7 HL8V8P6X3X3 ZM4Z7H1Y3U2文档编码:CK4C8A1K5B7 HL8V8P6X3X3 ZM4Z7H1Y3U2文档编码:CK4C8A1K5B7 HL8V8P6X3X3 ZM4Z7H1Y3U2文档编码:CK4C8A1K5B7 HL8V8P6X3X3 ZM4Z7H1Y3U2文档编码:CK4C8A1K5B7 HL8V8P6X3X3 ZM4Z7H1Y3U2文档编码:CK4C8A1K5B7 HL8V8P6X3X3 ZM4Z7H1Y3U2文档编码:CK4C8A1K5B7 HL8V8P6X3X3 Z
6、M4Z7H1Y3U2文档编码:CK4C8A1K5B7 HL8V8P6X3X3 ZM4Z7H1Y3U2文档编码:CK4C8A1K5B7 HL8V8P6X3X3 ZM4Z7H1Y3U2文档编码:CK4C8A1K5B7 HL8V8P6X3X3 ZM4Z7H1Y3U2文档编码:CK4C8A1K5B7 HL8V8P6X3X3 ZM4Z7H1Y3U2文档编码:CK4C8A1K5B7 HL8V8P6X3X3 ZM4Z7H1Y3U2文档编码:CK4C8A1K5B7 HL8V8P6X3X3 ZM4Z7H1Y3U2文档编码:CK4C8A1K5B7 HL8V8P6X3X3 ZM4Z7H1Y3U2文档编码:CK4C8
7、A1K5B7 HL8V8P6X3X3 ZM4Z7H1Y3U2文档编码:CK4C8A1K5B7 HL8V8P6X3X3 ZM4Z7H1Y3U2文档编码:CK4C8A1K5B7 HL8V8P6X3X3 ZM4Z7H1Y3U2文档编码:CK4C8A1K5B7 HL8V8P6X3X3 ZM4Z7H1Y3U2文档编码:CK4C8A1K5B7 HL8V8P6X3X3 ZM4Z7H1Y3U2文档编码:CK4C8A1K5B7 HL8V8P6X3X3 ZM4Z7H1Y3U2文档编码:CK4C8A1K5B7 HL8V8P6X3X3 ZM4Z7H1Y3U2文档编码:CK4C8A1K5B7 HL8V8P6X3X3 Z
8、M4Z7H1Y3U2文档编码:CK4C8A1K5B7 HL8V8P6X3X3 ZM4Z7H1Y3U2文档编码:CK4C8A1K5B7 HL8V8P6X3X3 ZM4Z7H1Y3U2文档编码:CK4C8A1K5B7 HL8V8P6X3X3 ZM4Z7H1Y3U2文档编码:CK4C8A1K5B7 HL8V8P6X3X3 ZM4Z7H1Y3U2文档编码:CK4C8A1K5B7 HL8V8P6X3X3 ZM4Z7H1Y3U2文档编码:CK4C8A1K5B7 HL8V8P6X3X3 ZM4Z7H1Y3U2文档编码:CK4C8A1K5B7 HL8V8P6X3X3 ZM4Z7H1Y3U2文档编码:CK4C8
9、A1K5B7 HL8V8P6X3X3 ZM4Z7H1Y3U2文档编码:CK4C8A1K5B7 HL8V8P6X3X3 ZM4Z7H1Y3U2文档编码:CK4C8A1K5B7 HL8V8P6X3X3 ZM4Z7H1Y3U2文档编码:CK4C8A1K5B7 HL8V8P6X3X3 ZM4Z7H1Y3U2文档编码:CK4C8A1K5B7 HL8V8P6X3X3 ZM4Z7H1Y3U2文档编码:CK4C8A1K5B7 HL8V8P6X3X3 ZM4Z7H1Y3U2文档编码:CK4C8A1K5B7 HL8V8P6X3X3 ZM4Z7H1Y3U28、过y轴上任意一点P 作x轴的平行线，分别与反比函数4yx
10、和2yx的图象交于A、B 两点，若C为x轴上任意一点，连接AC、BC，则 ABC的面积为二、解答题1、已知点 A 在双曲线 y6x上，且 OA4，过 A 作 AC 垂直 x 轴于 C，OA 的垂直平分线交 OC 于 B.(1)AOC 的面积 _；(2)ABC 的周长为 _2.如图，一次函数ykx2 的图象与反比例函数ymx的图象交于点P，点 P 在第一象限 PA 垂直 x轴于点 A，PB 垂直 y 轴于点 B，一次函数的图象分别交x 轴、y 轴于点 C、D，且 SPBD4，OCOA12.(1)求点 D 的坐标；(2)求一次函数与反比例函数的解析式；(3)根据图象写出当x0 时，一次函数的值大于
11、反比例函数的值的x的取值范围3如图，在平面直角坐标系xOy中，矩形 OABC 的顶点 A在 x 轴上，顶点C在 y 轴上，D是 BC的中点，过点 D的反比例函数图象交AB于 E点，连接DE。若 OD=5，tan COD=34。（1）求过点D的反比例函数的解析式；（2）求 DBE的面积；（3）x 轴上是否存在点P使 OPD为直角三角形，若存在，请直接写出P点的坐标。若不存在，请说明理由；文档编码:CK4C8A1K5B7 HL8V8P6X3X3 ZM4Z7H1Y3U2文档编码:CK4C8A1K5B7 HL8V8P6X3X3 ZM4Z7H1Y3U2文档编码:CK4C8A1K5B7 HL8V8P6X3
12、X3 ZM4Z7H1Y3U2文档编码:CK4C8A1K5B7 HL8V8P6X3X3 ZM4Z7H1Y3U2文档编码:CK4C8A1K5B7 HL8V8P6X3X3 ZM4Z7H1Y3U2文档编码:CK4C8A1K5B7 HL8V8P6X3X3 ZM4Z7H1Y3U2文档编码:CK4C8A1K5B7 HL8V8P6X3X3 ZM4Z7H1Y3U2文档编码:CK4C8A1K5B7 HL8V8P6X3X3 ZM4Z7H1Y3U2文档编码:CK4C8A1K5B7 HL8V8P6X3X3 ZM4Z7H1Y3U2文档编码:CK4C8A1K5B7 HL8V8P6X3X3 ZM4Z7H1Y3U2文档编码:C
13、K4C8A1K5B7 HL8V8P6X3X3 ZM4Z7H1Y3U2文档编码:CK4C8A1K5B7 HL8V8P6X3X3 ZM4Z7H1Y3U2文档编码:CK4C8A1K5B7 HL8V8P6X3X3 ZM4Z7H1Y3U2文档编码:CK4C8A1K5B7 HL8V8P6X3X3 ZM4Z7H1Y3U2文档编码:CK4C8A1K5B7 HL8V8P6X3X3 ZM4Z7H1Y3U2文档编码:CK4C8A1K5B7 HL8V8P6X3X3 ZM4Z7H1Y3U2文档编码:CK4C8A1K5B7 HL8V8P6X3X3 ZM4Z7H1Y3U2文档编码:CK4C8A1K5B7 HL8V8P6X3
14、X3 ZM4Z7H1Y3U2文档编码:CK4C8A1K5B7 HL8V8P6X3X3 ZM4Z7H1Y3U2文档编码:CK4C8A1K5B7 HL8V8P6X3X3 ZM4Z7H1Y3U2文档编码:CK4C8A1K5B7 HL8V8P6X3X3 ZM4Z7H1Y3U2文档编码:CK4C8A1K5B7 HL8V8P6X3X3 ZM4Z7H1Y3U2文档编码:CK4C8A1K5B7 HL8V8P6X3X3 ZM4Z7H1Y3U2文档编码:CK4C8A1K5B7 HL8V8P6X3X3 ZM4Z7H1Y3U2文档编码:CK4C8A1K5B7 HL8V8P6X3X3 ZM4Z7H1Y3U2文档编码:C
15、K4C8A1K5B7 HL8V8P6X3X3 ZM4Z7H1Y3U2文档编码:CK4C8A1K5B7 HL8V8P6X3X3 ZM4Z7H1Y3U2文档编码:CK4C8A1K5B7 HL8V8P6X3X3 ZM4Z7H1Y3U2文档编码:CK4C8A1K5B7 HL8V8P6X3X3 ZM4Z7H1Y3U2文档编码:CK4C8A1K5B7 HL8V8P6X3X3 ZM4Z7H1Y3U2文档编码:CK4C8A1K5B7 HL8V8P6X3X3 ZM4Z7H1Y3U2文档编码:CK4C8A1K5B7 HL8V8P6X3X3 ZM4Z7H1Y3U2文档编码:CK4C8A1K5B7 HL8V8P6X3
16、X3 ZM4Z7H1Y3U2文档编码:CK4C8A1K5B7 HL8V8P6X3X3 ZM4Z7H1Y3U2文档编码:CK4C8A1K5B7 HL8V8P6X3X3 ZM4Z7H1Y3U2文档编码:CK4C8A1K5B7 HL8V8P6X3X3 ZM4Z7H1Y3U2文档编码:CK4C8A1K5B7 HL8V8P6X3X3 ZM4Z7H1Y3U2文档编码:CK4C8A1K5B7 HL8V8P6X3X3 ZM4Z7H1Y3U2文档编码:CK4C8A1K5B7 HL8V8P6X3X3 ZM4Z7H1Y3U2文档编码:CK4C8A1K5B7 HL8V8P6X3X3 ZM4Z7H1Y3U2文档编码:C
17、K4C8A1K5B7 HL8V8P6X3X3 ZM4Z7H1Y3U2文档编码:CK4C8A1K5B7 HL8V8P6X3X3 ZM4Z7H1Y3U2文档编码:CK4C8A1K5B7 HL8V8P6X3X3 ZM4Z7H1Y3U2文档编码:CK4C8A1K5B7 HL8V8P6X3X3 ZM4Z7H1Y3U2文档编码:CK4C8A1K5B7 HL8V8P6X3X3 ZM4Z7H1Y3U2文档编码:CK4C8A1K5B7 HL8V8P6X3X3 ZM4Z7H1Y3U2文档编码:CK4C8A1K5B7 HL8V8P6X3X3 ZM4Z7H1Y3U2文档编码:CK4C8A1K5B7 HL8V8P6X3
18、X3 ZM4Z7H1Y3U24如图，直线2yx与反比例函数ky=x的图象相交于点A（a，3），且与 x 轴相交于点B（1）求该反比例函数的表达式；（2）若 P为 y 轴上的点，且AOP的面积是 AOB的面积的23，请求出点P的坐标（3）写出直线2yx向下平移2 个单位的直线解析式，并求出这条直线与双曲线的交点坐标。文档编码:CK4C8A1K5B7 HL8V8P6X3X3 ZM4Z7H1Y3U2文档编码:CK4C8A1K5B7 HL8V8P6X3X3 ZM4Z7H1Y3U2文档编码:CK4C8A1K5B7 HL8V8P6X3X3 ZM4Z7H1Y3U2文档编码:CK4C8A1K5B7 HL8V8
19、P6X3X3 ZM4Z7H1Y3U2文档编码:CK4C8A1K5B7 HL8V8P6X3X3 ZM4Z7H1Y3U2文档编码:CK4C8A1K5B7 HL8V8P6X3X3 ZM4Z7H1Y3U2文档编码:CK4C8A1K5B7 HL8V8P6X3X3 ZM4Z7H1Y3U2文档编码:CK4C8A1K5B7 HL8V8P6X3X3 ZM4Z7H1Y3U2文档编码:CK4C8A1K5B7 HL8V8P6X3X3 ZM4Z7H1Y3U2文档编码:CK4C8A1K5B7 HL8V8P6X3X3 ZM4Z7H1Y3U2文档编码:CK4C8A1K5B7 HL8V8P6X3X3 ZM4Z7H1Y3U2文档
20、编码:CK4C8A1K5B7 HL8V8P6X3X3 ZM4Z7H1Y3U2文档编码:CK4C8A1K5B7 HL8V8P6X3X3 ZM4Z7H1Y3U2文档编码:CK4C8A1K5B7 HL8V8P6X3X3 ZM4Z7H1Y3U2文档编码:CK4C8A1K5B7 HL8V8P6X3X3 ZM4Z7H1Y3U2文档编码:CK4C8A1K5B7 HL8V8P6X3X3 ZM4Z7H1Y3U2文档编码:CK4C8A1K5B7 HL8V8P6X3X3 ZM4Z7H1Y3U2文档编码:CK4C8A1K5B7 HL8V8P6X3X3 ZM4Z7H1Y3U2文档编码:CK4C8A1K5B7 HL8V8
21、P6X3X3 ZM4Z7H1Y3U2文档编码:CK4C8A1K5B7 HL8V8P6X3X3 ZM4Z7H1Y3U2文档编码:CK4C8A1K5B7 HL8V8P6X3X3 ZM4Z7H1Y3U2文档编码:CK4C8A1K5B7 HL8V8P6X3X3 ZM4Z7H1Y3U2文档编码:CK4C8A1K5B7 HL8V8P6X3X3 ZM4Z7H1Y3U2文档编码:CK4C8A1K5B7 HL8V8P6X3X3 ZM4Z7H1Y3U2文档编码:CK4C8A1K5B7 HL8V8P6X3X3 ZM4Z7H1Y3U2文档编码:CK4C8A1K5B7 HL8V8P6X3X3 ZM4Z7H1Y3U2文档
22、编码:CK4C8A1K5B7 HL8V8P6X3X3 ZM4Z7H1Y3U2文档编码:CK4C8A1K5B7 HL8V8P6X3X3 ZM4Z7H1Y3U2文档编码:CK4C8A1K5B7 HL8V8P6X3X3 ZM4Z7H1Y3U2文档编码:CK4C8A1K5B7 HL8V8P6X3X3 ZM4Z7H1Y3U2文档编码:CK4C8A1K5B7 HL8V8P6X3X3 ZM4Z7H1Y3U2文档编码:CK4C8A1K5B7 HL8V8P6X3X3 ZM4Z7H1Y3U2文档编码:CK4C8A1K5B7 HL8V8P6X3X3 ZM4Z7H1Y3U2文档编码:CK4C8A1K5B7 HL8V8
23、P6X3X3 ZM4Z7H1Y3U2文档编码:CK4C8A1K5B7 HL8V8P6X3X3 ZM4Z7H1Y3U2文档编码:CK4C8A1K5B7 HL8V8P6X3X3 ZM4Z7H1Y3U2文档编码:CK4C8A1K5B7 HL8V8P6X3X3 ZM4Z7H1Y3U2文档编码:CK4C8A1K5B7 HL8V8P6X3X3 ZM4Z7H1Y3U2文档编码:CK4C8A1K5B7 HL8V8P6X3X3 ZM4Z7H1Y3U2文档编码:CK4C8A1K5B7 HL8V8P6X3X3 ZM4Z7H1Y3U2文档编码:CK4C8A1K5B7 HL8V8P6X3X3 ZM4Z7H1Y3U2文档编码:CK4C8A1K5B7 HL8V8P6X3X3 ZM4Z7H1Y3U2文档编码:CK4C8A1K5B7 HL8V8P6X3X3 ZM4Z7H1Y3U2文档编码:CK4C8A1K5B7 HL8V8P6X3X3 ZM4Z7H1Y3U2文档编码:CK4C8A1K5B7 HL8V8P6X3X3 ZM4Z7H1Y3U2文档编码:CK4C8A1K5B7 HL8V8P6X3X3 ZM4Z7H1Y3U2文档编码:CK4C8A1K5B7 HL8V8P6X3X3 ZM4Z7H1Y3U2文档编码:CK4C8A1K5B7 HL8V8P6X3X3 ZM4Z7H1Y3U2