大学生空间思维能力培养模式研究——以半球—圆锥相贯线极值点求解证明为例  

Research on the Training Model of Spatial Thinking Ability of College Students:Taking the Proof of Solving the Extreme Point of Hemisphere-cone Intersection Line as an Example

作　　者：曾涵柔 贾震[2] 叶韬 ZENG Han-rou;JIA Zhen;YE Tao(Key Laboratory of Fundamental Science for National Defense of Aeronautical Digital Manufacturing Process,Shenyang Aerospace University,Shenyang,Liaoning 110136,China;School of Aeronautics and Astronautics,Shenyang Aerospace University,Shenyang,Liaoning 110136,China;School of Mechanics Engineering,Shenyang Aerospace University,Shenyang,Liaoning 110136,China)

机构地区：[1]沈阳航空航天大学航空制造工艺数字化国防重点学科实验室,辽宁沈阳110136 [2]沈阳航空航天大学航空宇航学院,辽宁沈阳110136 [3]沈阳航空航天大学机电工程学院,辽宁沈阳110136

出　　处：《教育教学论坛》2020年第23期334-336,共3页Education And Teaching Forum

摘　　要：图示思维和空间表达能力是学生学习画法几何课程的重要瓶颈。为更好地突破学习屏障,该文例举半球—圆锥相贯线特殊点的求解证明来探索有效培养空间思维能力的方法,论述了此教学方法对大学生空间思维能力的递进式培养过程,并通过对学生画法几何课程的期末考核情况验证此教学方法的可行性及有效性。The ability of graphic thinking and spatial expression is an important bottleneck for students to learn descriptive geometry.In order to break through the learning barrier better,this paper explores the effective ways to train spatial thinking ability by illustrating the proof of solving the special points of the hemisphere-cone intersection line,and expounds the progressive training process of this teaching method for college students'spatial thinking ability.The feasibility and validity of this kind of teaching method are proved by students'performance in the final examination of the Descriptive Geometry course.

关 键 词：相贯线 空间思维 极值点 辅助平面法 

分 类 号：G642.0[文化科学—高等教育学]