蚂蚁如何逃跑
Download
1 / 3

蚂蚁如何逃跑 - PowerPoint PPT Presentation


  • 140 Views
  • Uploaded on

蚂蚁如何逃跑. 一块长方形的金属板,四个顶点的坐标分 别是(1,1), (5,1), (1,3)和(5,3). 在坐标原点 处有一个火焰,它使金属板受热. 假定板上 任意一点处的温度与该点到原点的距离成 反比. 在(3,2)处有一只蚂蚁,问这只蚂蚁 应沿什么方向爬行才能最快到达较凉快的 地点?. 蚂蚁如何逃跑. 解: 板上任一点 ( x,y) 处的温度. k 是一个比例常数. 温度变化最骤烈的方向是梯度所指方向. 计算. 蚂蚁如何逃跑. 它的单位矢量.

loader
I am the owner, or an agent authorized to act on behalf of the owner, of the copyrighted work described.
capcha
Download Presentation

PowerPoint Slideshow about ' 蚂蚁如何逃跑' - sarai


An Image/Link below is provided (as is) to download presentation

Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.


- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -
Presentation Transcript

蚂蚁如何逃跑

一块长方形的金属板,四个顶点的坐标分别是(1,1), (5,1), (1,3)和(5,3). 在坐标原点处有一个火焰,它使金属板受热. 假定板上任意一点处的温度与该点到原点的距离成反比. 在(3,2)处有一只蚂蚁,问这只蚂蚁应沿什么方向爬行才能最快到达较凉快的地点?


蚂蚁如何逃跑

解:板上任一点(x,y)处的温度

k 是一个比例常数. 温度变化最骤烈的方向是梯度所指方向. 计算


蚂蚁如何逃跑

它的单位矢量

所指的方向是由热变冷变化最骤烈的方向(其反方向则是由冷变热). 蚂蚁虽然不懂梯度,但凭它的感觉细胞的反馈信号,它将沿这个方向逃跑.


ad