空间三角形外心的判定条件和计算
Judging Conditions and Computation of Circumcenter of Space Triangle
张辉 1方晓峰 1王静1
作者信息
- 1. 火箭军工程大学 基础部,陕西 西安 710025
- 折叠
摘要
研究了空间三角形外心的判定条件和计算问题.首先给出 3 个关于空间三角形的重要引理,然后利用外心的定义和一个命题,给出了判定外心的 6 个充分必要条件,最后利用判定条件给出了空间三角形外心坐标的计算公式.旨在让学生更深入地理解和掌握空间三角形外心的判定方法,为空间三角形在工程技术领域中的应用提供技术支撑.
Abstract
The judging conditions and computation of the circumcenter of space triangle are studied.Firstly,three important lemmas about the space triangle are given,then three sufficient and necessary conditions and three neces-sary conditions for judging the circumcenter are given by using the definition of the circumcenter and one proposi-tion.Finally,the calculation formula of the coordinates of the circumcenter of space triangles is given by using the judging conditions,so that students can have a deeper understanding and mastery of the circumcenter of space tri-angle,which provides technical support for the application of space triangle in the field of engineering technology.
关键词
空间三角形/外心/数量积/向量积/重心Key words
space triangle/circumcenter/dot product/vector product/center of gravity引用本文复制引用
基金项目
陕西省教育厅教育教学改革研究课题一般项目(23BY211)
出版年
2024
NETL
NSTL
万方数据