反比例函数的图像性质.pdf

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1、学习必备欢迎下载NMP32y=kxOxy反比例函数的图像性质（一）1.（对比练习）（1）已知正比例函数3)1(mxmy中，y 随 x 的增大而增大，求m 的值；（2）已知反比例函数3)1(mxmy在每一象限内，y 随 x 的增大而增大，求m 的值。2.（对比练习）（1）在函数xy2的图像上有三点（-3，y1）、(-2,y2)、(1,y3),则函数值y1、y2、y3的大小关系为；（2）在函数xmy22（m 为常数）的图像上有三点（-3，y1）、(-2,y2)、(1,y3),则函数值 y1、y2、y3的大小关系为；3.如图，点（2，3）在反比例函数xky的图像上，且点P 是该函数图像上的一点，过P

2、作 PM x 轴于 M，PNy 轴于 N。（1）若点 P 的横坐标为4，求长方形PMON 的面积；（2）若点 P 为一动点，当点 P 在双曲线位于第一象限的一支上运动时，长方形 PMON 的面积如何变化？-第 1 页，共 4 页精品p d f 资料 可编辑资料-学习必备欢迎下载y=kxMPOxy（1）拓展训练：引导学生从数（设出坐标）、形（等积变换）两方面探究下面三个图中，相应图形的面积与参数 k 的关系（2）变式训练:如图，P 为反比例函数xky的图像上一点，PMx 轴于 M，且 PMO 的面积为2.5，求 k的值。4.如图，已知点A、B 在双曲线xky（x0）上，ACx 轴于点 C，BDy

3、 轴于点 D，AC 与 BD 交于点 P，P 是 AC 的中点，若 ABP 的面积为3，则 k5.已知坐标平面内两点A（0，2）、B（0，-2），试在双曲线xy12上找点 P，使得 PAB的面积为6.反比例函数的图像性质（二）1.已知 A、B 两点关于y 轴对称，且点A 在双曲线xy3上，点 B 在直线3xy上。若BAOxyCBAOxyCBAOxy甲乙丙y x O A B P C D-第 2 页，共 4 页精品p d f 资料 可编辑资料-文档编码:CY6K9I9S2W4 HO1P8G10F7R3 ZE10C9P4V1K1文档编码:CY6K9I9S2W4 HO1P8G10F7R3 ZE10C9

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11、已知双曲线xky(x0)经过长方形OABC 的边 AB 的中点 F，交 BC 于点 E，且四边形 OCBF 的面积为3，（1）求 k 的值；（2）点 E 是否线段 BC 的中点？请说明理由；（3）求四边形OEBF 的面积4.如图，一次函数baxy1与反比例函数xky2的图像交于M（2，m）、N（-1，-4）两点（1）求出两个函数的解析式；（2）求不等式0 xkbax的解集；（3）求 MON 的面积。ABCEOFxy-第 3 页，共 4 页精品p d f 资料 可编辑资料-文档编码:CY6K9I9S2W4 HO1P8G10F7R3 ZE10C9P4V1K1文档编码:CY6K9I9S2W4 HO1

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