利用关联和类比诠释空间解析几何若干知识点  

Interpreting Some Contents in Spatial Analytic Geometry by Carrying on the Reasonable Relation and Comparing

作　　者：幸冬梅 

机构地区：[1]南昌大学数学与计算机学院,江西 南昌

出　　处：《理论数学》2024年第10期226-236,共11页Pure Mathematics

摘　　要：本文对空间解析几何中一些较难理解的概念进行了诠释。利用Visio、matlab进行图形绘制。讨论了空间中外积与平面定向的关系。解释了平面外的点与空间定向的关联:同一平面同侧的点的共性、异侧点的不同特征。通过图形的诠释空间曲面。融入联系的观点,进行课程知识纵向和横向类比,多角度、多侧面理解相关的知识,提升对知识的领悟。说明空间解析几何与高等代数相关知识点关系。简述了空间曲面的划分与重积分计算的关联性。Some difficult concepts in spatial analytic geometry are explained. Draw some figures with Visio and MATLAB. The relationship between cross product and plane orientation in space is discussed. The relationships between points outside a plane and spatial orientation are explained, for example, the commonness of points on the same side and the different characteristics of points on different sides. Spatial surfaces are described by figures. From the standpoint of contact, we make use of a detailed and thorough analysis of its vertical and horizontal comparison, the excavation of the similarities and differences among contents in spatial analytic geometry, which lead to a good understand in the corresponding contents. This paper considers the contents of relationship between spatial analytic geometry and higher algebra. The link between the divisions of space surface and the calculation of multiple integrals is also briefly described.

关 键 词：空间解析几何 数学思维模式 关联 类比 教学方式 

分 类 号：G63[文化科学—教育学]