河西学院学报
河西學院學報
하서학원학보
JOURNAL OF HEXI UNIVERSITY
2014年
5期
18-21
,共4页
参数曲面%主方向%正交%共轭
參數麯麵%主方嚮%正交%共軛
삼수곡면%주방향%정교%공액
Parametric surface%Principal direction%Conjugate
熟知欧氏参数曲面在非脐点处有且仅有两个相互垂直的主方向。对相互垂直的理解是容易的,但文献[3]的处理方法在实际教学中,学生理解主方向只有两个时存在模糊之处。本文目的是仔细分析这些模糊之处及产生的原因,并给出较为清晰的补充修缮,以更好地为教学服务。
熟知歐氏參數麯麵在非臍點處有且僅有兩箇相互垂直的主方嚮。對相互垂直的理解是容易的,但文獻[3]的處理方法在實際教學中,學生理解主方嚮隻有兩箇時存在模糊之處。本文目的是仔細分析這些模糊之處及產生的原因,併給齣較為清晰的補充脩繕,以更好地為教學服務。
숙지구씨삼수곡면재비제점처유차부유량개상호수직적주방향。대상호수직적리해시용역적,단문헌[3]적처리방법재실제교학중,학생리해주방향지유량개시존재모호지처。본문목적시자세분석저사모호지처급산생적원인,병급출교위청석적보충수선,이경호지위교학복무。
It is known that there are exactly two perpendicular principal directions at a non umbilical point on a parameterized surface. It is easy to understand that the two principal directions are perpendicular. However, omissions and ambiguities still exist in[3] concerning to explain why there are exactly two principal directions. This paper tries to analyze the reasons and clean omissions and ambiguities, aiming to serve the teaching well.