从“求圆截线平面问题”的研究谈学生能力的培养  

Discussions on Fostering the Students' Ability by Solving Planes with Circular Section

作　　者：刘德金[1] 

机构地区：[1]山东德州学院,山东德州253023

出　　处：《大学数学》2011年第6期180-186,共7页College Mathematics

摘　　要：对"求圆截线平面问题"作了深入研究,给出了四种解法,得到了与椭球面交线是圆的平面的充分必要条件,交线圆的中心和半径,并结合该问题谈了基础课教学中对学生能力的培养.We discuss the plane with circular sections, provide four methods solving them. Then present the necessary and sufficient conditions under which a plane intersects with the surface of an ellipsoid at a circle, In addition, give the center and radius of the circular sections. On the basis of it, we discuss how to foster the students＇ ability by teaching basic courses.

关 键 词：平面 椭球面 交线圆 学习能力 创新能力 

分 类 号：G642.0[文化科学—高等教育学]