题目内容
如图,在△AOB中,A、B两点的坐标分别为(2,4)和(6,2),求△AOB的面积![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/201408230130161504360.jpg)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/201408230130161504360.jpg)
10
如图,过A作水平线l交y轴于点E,过B作垂线,交直线l与点C,交x轴于点D,则
S矩形ECDO=6×4=24,
SRt△AEO=
×4×2=4;
SRt△ABC=
=4;
SRt△OBD=
×6×2=6;
∴S△OAB=S矩形ECDO﹣SRt△ABC﹣SRt△AEO﹣SRt△OBD=10.
∴三角形AOB的面积是10.
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/201408230130162128110.png)
S矩形ECDO=6×4=24,
SRt△AEO=
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823013016165257.png)
SRt△ABC=
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823013016181536.png)
SRt△OBD=
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823013016165257.png)
∴S△OAB=S矩形ECDO﹣SRt△ABC﹣SRt△AEO﹣SRt△OBD=10.
∴三角形AOB的面积是10.
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/201408230130162128110.png)
![](http://thumb.zyjl.cn/images/loading.gif)
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