反比例函数经典例题(含详细解答).pdf

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1、.反比例函数难题1、如图，已知P1OA1，P2A1A2，P3A2A3 PnAn-1An都是等腰直角三角形，点P1、P2、P3Pn都在函数y=4x（x0）的图象上，斜边OA1、A1A2、A2A3An-1An都在 x 轴上则点A10的坐标为2、如图 1，矩形 ABCD 的边 BC在 x 轴的正半轴上，点E（m，1）是对角线BD的中点，点A、E在反比例函数 y=kx的图象上（1）求 AB的长；（2）当矩形ABCD 是正方形时，将反比例函数y=kx的图象沿y 轴翻折，得到反比例函数y=1kx的图象（如图 2），求 k1的值；（3）在条件（2）下，直线y=-x 上有一长为2动线段 MN，作 MH、NP都

2、平行 y 轴交第一象限内的双曲线y=kx于点 H、P，问四边形MHPN 能否为平行四边形（如图3）？若能，请求出点M的坐标；若不能，请说明理由.1.已知反比例函数y=2kx和一次函数y=2x-1，其中一次函数的图象经过（a，b），（a+k，b+k+2）两点（1）求反比例函数的解析式；（2）求反比例函数与一次函数两个交点A、B的坐标：（3）根据函数图象，求不等式2kx2x-1 的解集；（4）在（2）的条件下，x 轴上是否存在点P，使 AOP为等腰三角形？若存在，把符合条件的P点坐标都求出来；若不存在，请说明理由文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编

3、码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N

4、7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编

5、码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N

6、7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编

7、码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N

8、7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编

9、码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5.1.如图，在平面直角坐标系xOy中，一次函数ykxb(k0)的图象与反比例函数y(m0)的图象交于二、四象限内的A、B两点，与x轴交于C点，点B的坐标为(6，n)，线段OA5，E为x轴负半轴上一点，且sinAOE45(1)求该反比例函数和一次函数；(2)求AOC的面积(1)过 A点作 AD x轴于点 D，sin AOE 45，OA 5，在 RtADO中，sin AOE ADAOAD545，xm文档编码:CT8K2O8L5X3 HU9M7N7

10、W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码

11、:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7

12、W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码

13、:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7

14、W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码

15、:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7

16、W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5.AD 4，DO OA2-DA2=3，又点 A在第二象限点A的坐标为(3，4)，将 A的坐标为(3，4)代入 ymx，得 4=m-3m 12，该反比例函数的解析式为y12x，点 B在反比例函数y12x的图象上，n126 2，点 B的坐标为(6，2)，一次函数 ykxb(k0)的图象过A、B两点，3kb=4，6k b 2，k23，b 2 该一次函数解析式为y23x2(2)在 y23x2 中，令 y0，即23

17、x2=0，x=3，点 C的坐标是（3，0），OC 3，又 DA=4，S AOC 12OC AD 1234 6，所以 AOC的面积为 6练习 1.已知 RtABC的斜边AB在平面直角坐标系的x轴上，点 C（1，3）在反比例函数y=kx的图象上，且 sin BAC=35（1）求k的值和边AC的长；（2）求点 B的坐标（1）把 C（1，3）代入y=kx得k=3 设斜边 AB上的高为 CD，则 sin BAC=CDAC=35C（1，3）CD=3，AC=5（2）分两种情况，当点B在点 A右侧时，如图1 有：AD=5232=4，AO=4 1=3 ACD ABC AC2=AD AB AB=AC2AD=254

18、OB=AB AO=2543=134图 1 此时 B点坐标为（134，0）文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7

19、W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码

20、:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7

21、W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码

22、:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7

23、W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码

24、:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5.图 2 当点 B在点 A 左侧时，如图2 此时 AO=4 1=5 OB=AB AO=2545=54此时 B点坐标为（54，0）所以点 B的坐标为（134，0）或（54，0）1.如图，矩形 ABOD 的顶点 A 是函数与函数在第二象限的交点，轴于 B，轴于 D，且矩形ABOD 的面积为3

25、（1）求两函数的解析式（2）求两函数的交点A、C 的坐标（3）若点 P 是 y 轴上一动点，且，求点 P 的坐标解：（1）由图象知k0，由结论及已知条件得-k=3反比例函数的解析式为，一次函数的解析式为（2）由，解得，点A、C的坐标分别为（，3），（3，）（3）设点P的坐标为（0，m）直线与y轴的交点坐标为M（0，2）O x y B A C D 文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:C

26、T8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5

27、P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:C

28、T8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5

29、P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:C

30、T8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5

31、P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5.PM，即m

32、 2，或，点P的坐标为（0，）或（0，）1.如图，已知，是一次函数的图像和反比例函数的图像的两个交点（1）求反比例函数和一次函数的解析式；（2）求直线与轴的交点的坐标及三角形的面积解：（1）在上反比例函数的解析式为：点在上经过，解之得一次函数的解析式为：（2）是直线与轴的交点当时，点1.(1)探究新知如图 1，已知 ABC 与 ABD 的面积相等，试判断 AB 与 CD 的位置关系，并说明理由（2）结论应用：如图 2，点 M，N 在反比例函数（k0）的图象上，过点 M 作 MEy 轴，过点N 作 NFx 轴，垂足分别为E，F试证明：MNEF 若中的其他条件不变，只改变点 M，N 的位置如图3

33、所示，请判断MN与 EF 是否平行。解：（1）证明：分别过点C，D，作 CGAB，DHAB，垂足为 G，H，则 CGA DHB90 文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3

34、G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5

35、X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3

36、G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5

37、X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3

38、G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5

39、X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5.CGDH ABC 与 ABD 的面积相等，CGDH 四边形 CGHD 为平行四边形 ABCD（2）证明：连结MF，NE利用同底等高的三角形面积相等，可知 SEFMSEF N由（1）中的结论可知：MNEF如图所示，MNEF已知：

40、如图，正比例函数的图象与反比例函数的图象交于点（1）试确定上述正比例函数和反比例函数的表达式；（2）根据图象回答，在第一象限内，当取何值时，反比例函数的值大于正比例函数的值？（3）是反比例函数图象上的一动点，其中过点作直线轴，交轴于点；过点作直线轴交轴于点，交直线于点当四边形的面积为6 时，请判断线段与的大小关系，并说明理由（1）由点 A（3，2）在两函数图象上，可求得k=6,a=，正比例函数为,反比例函数为(2)0 x3(3)设 D点坐标为（3，t），则 M点坐标为（由四边形OADM 的面积为6 得 3+6+3=3t 解得 t=4 故点 M为（D 点为（3，4）从而 M点为 BD中点，BM=

41、DM 文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3

42、HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F

43、1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3

44、HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F

45、1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3

46、HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5文档编码:CT8K2O8L5X3 HU9M7N7W5P8 ZV5K3G1F1J5