题目内容
(7分)已知:如图,在平面直角坐标系
中,直线AB分别与
轴交于点B、A,与反比例函数的图象分别交于点C、D,
轴于点E,
..
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/201408230233107012662.png)
(1)求该反比例函数的解析式;
(2)求直线AB的解析式.
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823023310623465.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823023310639404.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823023310654510.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/201408230233106851089.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/201408230233107012662.png)
(1)求该反比例函数的解析式;
(2)求直线AB的解析式.
(1)
(2)![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823023310732630.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823023310717533.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823023310732630.png)
试题分析:解:(1)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823023310748705.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823023310763671.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823023310779538.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823023310795318.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/201408230233108101092.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823023310810520.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823023310826195.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823023310841313.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823023310857618.png)
设反比例函数的解析式为
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823023310873787.png)
将点
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823023310841313.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823023310904556.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823023310951465.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823023310826195.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823023310717533.png)
(2)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823023310997481.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823023311013555.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/201408230233110441024.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823023311060497.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823023311075571.png)
设直线
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823023311075396.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823023311091770.png)
将点
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823023311107415.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823023311122843.png)
解得
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823023311138807.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823023310826195.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823023311075396.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823023310732630.png)
点评:此类试题属于基本性试题,考生要把握好基本的反比例函数的求法
![](http://thumb.zyjl.cn/images/loading.gif)
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