两相交平面与其交线平面束夹角间的关系研究  

Relationship between the Angles of Two Intersecting Planes and Their Intersecting Plane Bundles

作　　者：程科登 徐华博 CHENG Kedeng;XU Huabo(School of Science,Beijing University of Civil Engineering and Architecture,Beijing 100044)

机构地区：[1]北京建筑大学理学院,北京100044

出　　处：《北京建筑大学学报》2023年第3期105-110,共6页Journal of Beijing University of Civil Engineering and Architecture

基　　金：北京市科技新星计划项目(2018年度)(No.Z181100006218010);北京建筑大学混合课程建设项目(YC220144);北京建筑大学青年教师科研能力提升计划项目(No.X22026)。

摘　　要：设空间直线l为空间2个平面π_(1)和π_(2)的交线,π_(3)是π_(1)和π_(2)确定过l的平面束,θ为平面π_(1)和π_(2)间的夹角,θ_(1)为平面π_(1)和π_(3)间的夹角,θ_(2)为平面π_(2)和π_(3)间的夹角,进而研究θ与θ_(1),θ_(2)间的关系。此外,对每一种关系式给出相应的例子,通过若干数学问题来阐述结论的实用价值。Let the space line l be the intersection of two planes π_(1) and π_2,π_(3) be the plane bundles determined by π_(1) and π_2,θ be the angle between planes π_(1) and π_2,θ_(1) be the angle between planes π_(1) and π_3,and θ_(2) be the angle between planes π_(2) and π_3.The relationship between θ and θ_1,θ_(2) is described in the paper.In addition,some corresponding examples are given,and the practical value of the conclusion is illustrated through several mathematical problems.

关 键 词：平面束 法向量 夹角 

分 类 号：O182.2[理学—数学]