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2022年二次函数的几何最值问题 .pdf

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1、学习好资料欢迎下载二次函数与几何图形结合 -探究面积最值问题方法总结：在解答面积最值存在性问题时，具体方法如下：根据题意，结合函数关系式设出所求点的坐标，用其表示出所求图形的线段长；观察所求图形的面积能不能直接利用面积公式求出，若能，根据几何图形面积公式得到点的坐标或线段长关于面积的二次函数关系式，若所求图形的面积不能直接利用面积公式求出时，则需将所求图形分割成几个可直接利用面积公式计算的图形，进行求解；结合已知条件和函数图象性质求出面积取最大值时的点坐标或字母范围。（2014?达州）如图，在平面直角坐标系中，己知点O（0，0），A（5，0），B（4，4）（1）求过 O、B、A 三点的抛物线的

2、解析式（2）在第一象限的抛物线上存在点M，使以 O、A、B、M 为顶点的四边形面积最大，求点M 的坐标（3）作直线x=m交抛物线于点P，交线段OB 于点 Q，当PQB 为等腰三角形时，求m 的值学习好资料欢迎下载（2014 自贡）如图，已知抛物线cxaxy232与 x 轴相交于 A、B 两点，并与直线221xy交于 B、C 两点，其中点C 是直线221xy与 y 轴的交点，连接AC（1）求抛物线的解析式；（2）证明：ABC 为直角三角形；（3）ABC 内部能否截出面积最大的矩形DEFG？（顶点D、E、F、G 在 ABC 各边上）若能，求出最大面积；若不能，请说明理由文档编码:CJ5E10C7I

3、6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3

4、I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N

5、8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C

6、7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9

7、J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I

8、5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E1

9、0C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8学习好资料欢迎下载（2014 黔西南州）（16 分）如图所示，在平面直角坐标系中，抛物线y=ax2+bx+c经过 A（3，0）、B（1，0）、C（0，3）三点，其顶点为D，连接 AD，点 P 是线段 AD 上一个动点（不与A、D 重合），过点P 作 y 轴的垂线，垂足点为E，连接 AE（1）

10、求抛物线的函数解析式，并写出顶点D 的坐标；（2）如果 P 点的坐标为（x，y），PAE 的面积为S，求 S 与 x 之间的函数关系式，直接写出自变量x 的取值范围，并求出S 的最大值；（3）在（2）的条件下，当 S 取到最大值时，过点 P 作 x 轴的垂线，垂足为 F，连接 EF，把 PEF沿直线 EF折叠，点 P 的对应点为点P，求出P的坐标，并判断 P是否在该抛物线上文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3

11、ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档

12、编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6

13、A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I

14、3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8

15、文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7

16、I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J

17、3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8学习好资料欢迎下载（2014 兰州）（12 分）如图，抛物线y=221x+nmx与 x 轴交于 A、B 两点，与 y 轴交于点C，抛物线的对称轴交 x 轴于点 D，已知 A（1，0），C（0，2）（1）求抛物线的表达式；（2）在抛物线的对称轴上是否存在点P，使 PCD 是以 CD 为腰的等腰三角形？如果存在，直接写出P 点的坐标；如果不存在，请说明理由；（3）点 E时线段 BC 上的一个动点，过点E 作 x 轴的垂线与抛物线相交于点F，当点 E 运动到什么位置时，四边形 CDBF 的

18、面积最大？求出四边形CDBF 的最大面积及此时E点的坐标文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J

19、3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5

20、N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10

21、C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F

22、9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8

23、I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E

24、10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8学习好资料欢迎下载（2014?衡阳）二次函数y=ax2+bx+c（a 0）的图象与x 轴的交点为A（-3，0）、B（1，0）两点，与y 轴交于点 C（0，-3m）（其中m 0），顶点为D（1）求该二次函数的解

25、析式（系数用含m 的代数式表示）；（2）如图，当m=2时，点 P 为第三象限内的抛物线上的一个动点，设APC 的面积为S，试求出 S 与点 P 的横坐标 x 之间的函数关系式及S 的最大值；（3）如图，当m 取何值时，以A、D、C 为顶点的三角形与 BOC 相似？文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码

26、:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9

27、 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3

28、ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档

29、编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6

30、A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I

31、3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8

32、学习好资料欢迎下载二次函数与几何图形结合 -探究等腰三角形存在性问题方法总结：在解答面积最值存在性问题时，具体方法如下：假设结论成立；当所给条件中没有说明哪条边是等腰三角形的底、哪条是腰时，要对其进行分类讨论，假设某两条边相等，等到三种情况；设未知量，求边长，在每种情况下，直接或间接设出所求点的坐标，并用所设点坐标表示出假设相等的两条边的长或第三边的长；计算求解，根据等腰三角形的性质或利用勾股定理或相似三角形的性质列等量关系式，根据等量关系式求解即可。（2014 长沙）如图，抛物线的对称轴为轴，且经过（0,0），（）两点，点 P 在抛物线上运动，以P 为圆心的 P 经过定点 A（0,2），(1

33、)求的值；(2)求证：点P 在运动过程中，P 始终与轴相交；（3）设 P与轴相交于M，N（）两点，当 AMN为等腰三角形时，求圆心 P 的纵坐标。文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X

34、5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9

35、U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ

36、5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA

37、7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7

38、F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:

39、CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8学习好资料欢迎下载（2014?绵阳）如图，抛物线y=ax2+bx+c（a0）的图象过点M（2，），顶点坐标为N（1，）

40、，且与 x 轴交于 A、B 两点，与 y 轴交于 C 点（1）求抛物线的解析式；（2）点 P 为抛物线对称轴上的动点，当PBC 为等腰三角形时，求点P 的坐标；（3）在直线AC 上是否存在一点Q，使QBM 的周长最小？若存在，求出Q 点坐标；若不存在，请说明理由文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:

41、CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9

42、HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 Z

43、R7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编

44、码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A

45、9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3

46、 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8学

47、习好资料欢迎下载（2014?张家界）如图，在平面直角坐标系中，O 为坐标原点，抛物线y=ax2+bx+c（a0）过 O、B、C 三点，B、C 坐标分别为（10，0）和（，），以 OB 为直径的 A 经过 C 点，直线l 垂直 x 轴于 B 点（1）求直线BC 的解析式；（2）求抛物线解析式及顶点坐标；（3）点 M 是 A 上一动点（不同于O，B），过点M 作 A 的切线，交y 轴于点 E，交直线l 于点 F，设线段ME 长为 m，MF 长为 n，请猜想 m?n 的值，并证明你的结论；（4）若点 P 从 O 出发，以每秒一个单位的速度向点B 作直线运动，点Q 同时从 B 出发，以相同速度向点C

48、作直线运动，经过t（0t 8）秒时恰好使 BPQ 为等腰三角形，请求出满足条件的t 值文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10

49、C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F

50、9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8I5N8文档编码:CJ5E10C7I6A9 HA7X5F9J3I3 ZR7F9U8

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