题目内容
已知:如图10,在平面直角坐标系![](http://thumb.1010pic.com/pic1/imagenew2/czsx/10/72730.gif)
![](http://thumb.1010pic.com/pic1/imagenew2/czsx/11/72731.gif)
![](http://thumb.1010pic.com/pic1/imagenew2/czsx/12/72732.gif)
![](http://thumb.1010pic.com/pic1/imagenew2/czsx/13/72733.gif)
![](http://thumb.1010pic.com/pic1/imagenew2/czsx/14/72734.gif)
![](http://thumb.1010pic.com/pic1/imagenew2/czsx/15/72735.gif)
![](http://thumb.1010pic.com/pic1/imagenew2/czsx/16/72736.gif)
![](http://thumb.1010pic.com/pic1/imagenew2/czsx/11/72731.gif)
![](http://thumb.1010pic.com/pic1/imagenew2/czsx/9/72729.jpg)
解:(1)由
,得
.
∵点
在第一象限内,
.
∴
.∴
.……………………………….(2分)
∴点
的坐标是
.
设该反比例函数的解析式为
.
将点
的坐标代入,得
,∴
.
∴反比例函数的解析式为:
.……………………….(3分)
设直线
的解析式为
.
将点
,
的坐标分别代入,得![](http://thumb.1010pic.com/pic1/imagenew2/czsx/18/72758.gif)
解得
∴直线
的解析式为
.……………………….(5分)解析:
略
![](http://thumb.1010pic.com/pic1/imagenew2/czsx/13/72733.gif)
![](http://thumb.1010pic.com/pic1/imagenew2/czsx/1/72741.gif)
∵点
![](http://thumb.1010pic.com/pic1/imagenew2/czsx/14/72734.gif)
![](http://thumb.1010pic.com/pic1/imagenew2/czsx/3/72743.gif)
∴
![](http://thumb.1010pic.com/pic1/imagenew2/czsx/4/72744.gif)
![](http://thumb.1010pic.com/pic1/imagenew2/czsx/5/72745.gif)
∴点
![](http://thumb.1010pic.com/pic1/imagenew2/czsx/6/72746.gif)
![](http://thumb.1010pic.com/pic1/imagenew2/czsx/7/72747.gif)
设该反比例函数的解析式为
![](http://thumb.1010pic.com/pic1/imagenew2/czsx/8/72748.gif)
将点
![](http://thumb.1010pic.com/pic1/imagenew2/czsx/6/72746.gif)
![](http://thumb.1010pic.com/pic1/imagenew2/czsx/10/72750.gif)
![](http://thumb.1010pic.com/pic1/imagenew2/czsx/11/72751.gif)
∴反比例函数的解析式为:
![](http://thumb.1010pic.com/pic1/imagenew2/czsx/12/72752.gif)
设直线
![](http://thumb.1010pic.com/pic1/imagenew2/czsx/11/72731.gif)
![](http://thumb.1010pic.com/pic1/imagenew2/czsx/14/72754.gif)
将点
![](http://thumb.1010pic.com/pic1/imagenew2/czsx/15/72755.gif)
![](http://thumb.1010pic.com/pic1/imagenew2/czsx/6/72746.gif)
![](http://thumb.1010pic.com/pic1/imagenew2/czsx/18/72758.gif)
解得
![](http://thumb.1010pic.com/pic1/imagenew2/czsx/19/72759.gif)
∴直线
![](http://thumb.1010pic.com/pic1/imagenew2/czsx/11/72731.gif)
![](http://thumb.1010pic.com/pic1/imagenew2/czsx/1/72761.gif)
略
![](http://thumb2018.1010pic.com/images/loading.gif)
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