空间解析几何中平面方程的多种解法  

Multiple Solutions to Plane Equation in Space Analytic Geometry

作　　者：黄杰 

机构地区：[1]黑龙江大学数学科学学院,黑龙江 哈尔滨

出　　处：《教育进展》2023年第5期2926-2930,共5页Advances in Education

摘　　要：本文针对空间解析几何中的两道课后习题,即求与两条直线有关的平面方程,分别利用平面的点法式,点向式,平面的一般方程,平面束方程等给出多种求解方法,旨在培养学生针对求解平面方程的题目时拓宽思路,发散思维。This article aims at two exercises in space analytic geometry, that is, to find the plane equation related to two straight lines. We give multiple solutions: using a point and a normal vector on the plane, using a point and two directional vectors on the plane, using the general equation of the plane, and using the plane pencil, and so on. The purpose is to train students to broaden their thinking and diverge their thinking when solving problems of plane equations.

关 键 词：直线 方向向量 法向量 平面束 平面方程 

分 类 号：G63[文化科学—教育学]