AB and CD are perpendicular to line BD with AB = 997,BD = 2012 and CD = 512.If E is a point on BD,what is the shortest possible distance forAE + EC?

来源：学生作业帮助网编辑：作业帮时间：2024/05/04 20:02:29

AB and CD are perpendicular to line BD with AB = 997,BD = 2012 and CD = 512.If E is a point on BD,what is the shortest possible distance forAE + EC?
AB and CD are perpendicular to line BD with AB = 997,BD = 2012 and CD = 512.If E is a point on BD,what is the shortest possible distance forAE + EC?

AB and CD are perpendicular to line BD with AB = 997,BD = 2012 and CD = 512.If E is a point on BD,what is the shortest possible distance forAE + EC?
作C点关于BD的对称点C',则有EC=EC', 连接AC' 交BD于点P
:. AE+EC=AE+EC'
根据三角形边长定理,当AEC'三点共线时,AE+EC'最短.

首先翻译一下吧，相信你看图也可以看懂
AB,CD分别垂直于BD与B,D。AB=997，BD=2012，CD=512.E为BD上一点，求AE+EC的最小值
这道题的做法如下
延长AB到F，使得AB=BF，连接FC与BD的交点即为所求点E的位置（利用对称性质及两点间线段最短）
此时AE+EC=FE+EC=FC
做CG垂直于AF于G，则三角形GFC中，FG=GB+...

全部展开

收起

Line AB and Line CD are the same length.Line AB is ___ ___ ___ Line CD . In the figure above,AB and CD are parallel.What is x in terms of y and z AB and CD are perpendicular to line BD with AB = 997,BD = 2012 and CD = 512.If E is a point on BD,what is the shortest possible distance forAE + EC? where --- my CD and my pen?用is还是are?where --- my CD and pen?用is还是are? a cd and a book are on the table有错么 Oh,these presents are so nice.-----The CD is from Betty and the books are from ___的答案和讲解A I and Helen B Helen and me C Helen's and mine D Helen and I ab垂直cd 求证AB=CD 求证AB//CD 已知AB∥cD, 说明AB∥CD 如图,AB//CD, 向量AB+BC+CD 怎样计算平面内两条线段的最短距离平面内线段的位置是任意的,已知两条线段四个端点的坐标.最好不要角方程,通过程序可计算的自己也找到了算法逻辑,贴出来服务大家吧,AB and CD are line segm 直角梯形ABCD中,AB//CD,CD 介词后面代词用什么格?例如 The CD is from betty and the books are from ____A I and Helen BHenlen and me C Helen's and mine D Helen and I SONS AND LOVERS CD怎么样若AB//CD,AB//EF,则CD//()理由是().