太原理工大学学报:社会科学版
太原理工大學學報:社會科學版
태원리공대학학보:사회과학판
Journal of Taiyuan University of Technology(Social Sciences Edition)
2009年
1期
68~70
,共null页
旋转矢量 正交性 矢量合成 矢量投影
鏇轉矢量 正交性 矢量閤成 矢量投影
선전시량 정교성 시량합성 시량투영
rotating vector; orthogonality vectorial composition; vectorial projecting
利用学生已熟练掌握的矢量合成及矢量投影定理,提出了用旋转矢量来记忆并理解工程力学课程中非矢量的、难以掌握的、大量的公式和定理。即:利用三角函数的正交性,将公式中的各代数量定义为平面上可绕一点旋转的矢量表示,再根据矢量合成定理及矢量投影定理表达公式的内容。
利用學生已熟練掌握的矢量閤成及矢量投影定理,提齣瞭用鏇轉矢量來記憶併理解工程力學課程中非矢量的、難以掌握的、大量的公式和定理。即:利用三角函數的正交性,將公式中的各代數量定義為平麵上可繞一點鏇轉的矢量錶示,再根據矢量閤成定理及矢量投影定理錶達公式的內容。
이용학생이숙련장악적시량합성급시량투영정리,제출료용선전시량래기억병리해공정역학과정중비시량적、난이장악적、대량적공식화정리。즉:이용삼각함수적정교성,장공식중적각대수량정의위평면상가요일점선전적시량표시,재근거시량합성정리급시량투영정리표체공식적내용。
With the help of vectorial composition and vectorial projecting theorem known skillfully by the students, it is put forward that lots of non-vectorial formula and theorem studied difficultly in engineering mechanics can be expressed by rotating vector method. That means according to orthogonality of trigonometric function to define the various algebra expression in formula as a vector of rotating an fixed point in plane,and then to denote formula content based on vectorial com- position and vectorial projecting theorem.