一个平面划分空间定理及其应用  

One theorem on cutting space by plane and its application

作　　者：刘增[1] LIU Zeng(School of Mathematics,Suzhou University of Science and Technology,Suzhou 215009,China)

机构地区：[1]苏州科技大学数学科学学院,江苏苏州215009

出　　处：《高师理科学刊》2021年第11期68-71,共4页Journal of Science of Teachers＇College and University

基　　金：苏州科技大学2019教师教育项目(2019JGMJ-15);苏州科技大学2018课程教学综合改革项目(2018KJZG-37)。

摘　　要：针对空间点与平面相关位置中的平面划分空间问题进行讨论,结合定比分点的相关知识给出一个平面划分空间定理,并应用其处理解析几何中的相关问题,有助于学生对知识点的融会贯通.The problem of plane partition space in the relevant positions of space midpoint and plane was discussed.Combined with the related knowledge of definite proportional division point,a theorem on cutting space by plane was obtained.At the same time,some problems of analytic geometry were solved by using the theorem,which help students to understand the related theorems.

关 键 词：平面划分空间问题 定比分点 离差 

分 类 号：O182.2[理学—数学] G642.0[理学—基础数学]