题目内容
如图所示,某同学沿平直路面由A点出发前进了100 m到达斜坡底端的B点,又沿倾角为60°的斜面前进了100 m达到C点,求此同学的位移和路程。![](http://thumb.1010pic.com/pic2/upload/papers/20140824/201408241437494312342.jpg)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/201408241437494312342.jpg)
200 m
如图-4所示画出该同学的位移矢量图,AC为该同学的位移,方向由A→C
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/201408241437495253957.png)
由直角三角形知识
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/201408241437496181261.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/201408241437497431506.png)
∴![](http://thumb.1010pic.com/pic2/upload/papers/20140824/201408241437499302072.png)
路程S="AB+BC=200" m。
本题考查路程和位移的概念,路程为路径的长度,是标量只有大小没有方向,位移为矢量,为初位置指向末位置的有向线段,所以路程为AB与BC的距离之和,位移为AC的直线距离
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/201408241437495253957.png)
由直角三角形知识
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/201408241437496181261.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/201408241437497431506.png)
∴
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/201408241437499302072.png)
路程S="AB+BC=200" m。
本题考查路程和位移的概念,路程为路径的长度,是标量只有大小没有方向,位移为矢量,为初位置指向末位置的有向线段,所以路程为AB与BC的距离之和,位移为AC的直线距离
![](http://thumb2018.1010pic.com/images/loading.gif)
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