摘要
仿射变换的一些重要性质在欧氏几何上有着很好的应用,以近几年高考真题为例,探讨研究了仿射变换在解决有关椭圆中求面积、直线斜率、最值、定值等一系列问题中的应用,化“椭”为“圆”,巧妙地解决圆锥曲线的相关问题,给出了不同题型下灵活运用仿射变换的具体方法.
Some important properties of affine transformations are commonly employed for solving issues in Euclidean geometry.Taking the real questions of recent college entrance examination as examples,this paper discusses the application of affine transformations in solving a series of problems related to finding area,slope of straight lines,extremum and constant values in ellipses.It ingeniously solves problems related to conic sections by transforming"ellipses"into"circles"and provides specific methods for flexible use of affine transformations in different types of problems.
作者
白丽艳
殷秀仙
李江燕
BAI Liyan;YIN Xiuxian;LI Jiangyan(School of Mathematics and Physics,Yuxi Normal University,Yuxi 653100,China)
出处
《玉溪师范学院学报》
2024年第3期8-14,共7页
Journal of Yuxi Normal University
基金
玉溪师范学院教学研究与改革实践项目“课程思政背景下基于OBE理念的‘概率论与数理统计’课程教学实践与研究”(项目编号:202217)
课程思政示范课程项目“概率论与数理统计”(项目编号:2022sz15)。
关键词
仿射变换
椭圆
圆
affine transformation
ellipse
circle
