问题
解答题
建立平面直角坐标系,依次描出点A(﹣2,0),B(0,﹣3),C(﹣3,﹣5),连接AB、BC、CA.求△ABC的面积.
答案
解:如图所示;
S△ABC=S矩形CEOD﹣S△ACD﹣S△CEB﹣S△AOB
=3×5﹣×1×5﹣
×2×3﹣
×2×3
=15﹣8.5
=6.5.
![](https://img.ixiawen.com/uploadfile/2017/0512/20170512032820131.png)
建立平面直角坐标系,依次描出点A(﹣2,0),B(0,﹣3),C(﹣3,﹣5),连接AB、BC、CA.求△ABC的面积.
解:如图所示;
S△ABC=S矩形CEOD﹣S△ACD﹣S△CEB﹣S△AOB
=3×5﹣×1×5﹣
×2×3﹣
×2×3
=15﹣8.5
=6.5.