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用高中数学求解异面直线公垂线方程
引用本文:熊明,熊鉴,李高平.用高中数学求解异面直线公垂线方程[J].工科数学,2014(3):122-123.
作者姓名:熊明  熊鉴  李高平
作者单位:[1]四川爱华学院数学系,成都610200 [2]浙江灵溪第11中学,浙江苍南325800 [3]西南民族大学计算机科学与技术学院,成都610041
摘    要:用高中向量基础知识和待定法可非常方便地得出n(n≥3)维线性空间中异面直线的公垂线方程.若在大学数学教学中挖掘与中学数学的衔接和联系,则可在很大程度上降低大学数学的教学难度.

关 键 词:高中数学  异面直线公垂线  向量投影分解  教学衔接

Solving Equation of Common Vertical Line of Two Lines in Different Planes with High School Mathematics
XIONG Ming,XIONG Jian,LI Gao-ping.Solving Equation of Common Vertical Line of Two Lines in Different Planes with High School Mathematics[J].Journal of Mathematics For Technology,2014(3):122-123.
Authors:XIONG Ming  XIONG Jian  LI Gao-ping
Institution:1. Department of Mathematics, College of Sichuan Aihua, Chengdu 610200,China 2. Lingxi 11 middle school, Cangnan, Zhejiang 325800, China; 3. School of Computer Science and Technology,Southwest University [or Nationalities,Chengdu 610041 ,China)
Abstract:By using basic knowledge of vector and the method of undetermined coeffient in high school mathematics, the equation of common vertical line of two lines in different planes can be solved very easily. By excavating the teaching convergence between middle school mathematics and college mathematics, the teaching difficulty is largely reduced.
Keywords:high school mathematics  common vertical line of two lines in different planes  projection decomposition for vector  teaching linkage
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