作者winter5690 (bbv)
看板trans_math
标题[张爸] 求点到线之距离
时间Tue May 28 23:47:52 2013
各位大大安安
想请问一个题目
find the distance from the point(2,1,3) to the line
x-1/2 = y/-1= z+1/1.
我的作法是: 将x-1/2 = y/-1= z+1/1 写成2x-y+z-1=0
(2,1,3)代入,答案为(5/6)^0.5
但是正确答案不是这个,想问我是哪边出错了?
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※ 发信站: 批踢踢实业坊(ptt.cc)
◆ From: 140.124.141.113
1F：→ BaBi:我还满好奇你怎麽化出2x-y+z-1=0的... 114.41.133.189 05/29 00:24
2F：→ BaBi:不是先依参数条件设垂点吗... 114.41.133.189 05/29 00:26
3F：→ BaBi:利用最近时两线向量垂直, dot = 0 解参数 114.41.133.189 05/29 00:27
4F：→ BaBi:然後带回得垂点, 距离就出来了啊... 114.41.133.189 05/29 00:27
5F：→ winter5690:我照babi大的方法做,但答案还是不对140.124.141.113 05/29 00:35
6F：→ winter5690:是我计算错了吗?babi你算是多少?140.124.141.113 05/29 00:35
7F：→ winter5690:ans is (83/3)^0.5140.124.141.113 05/29 00:36
8F：→ winter5690:更正不是3是6140.124.141.113 05/29 00:36