巧设变量求解一道2023年高考数学圆锥曲线题  

Set Variables to Solve a Conic-curve Problem Appearing in 2023

作　　者：梁作松 Liang Zuosong(College of Mathematics and Physics,Guangxi Minzu University ,GangxiNanning 530006)

机构地区：[1]广西民族大学数学与物理学院,广西南宁530006

出　　处：《科技风》2024年第13期58-60,共3页

摘　　要：与圆锥曲线相关的解答题是高考数学必考的一道题目,该类题目考察的一个主要知识点是在某个约束条件下求解某个量的最大值或最小值。对于该类题目,通过设置合适的变量以及适当的变量代换建立约束条件和目标函数求解会达成很好的求解效果。本文以2023年全国高考数学甲卷中的一道圆锥曲线题为例给出解答与说明。The conic-curve-related solving-problem is one of the compulsory questions in the college entrance examination.One of the main knowledge points of this kind of problem is to solve the maximum or minimum value of a certain objective function under a certain constraint condition.For this kind of problem,it will achieve a good solution effect by setting appropriate variables and ap-propriate variable substitution to establish constraints functions and objective functions.This paper takes a conic-curve solving-prob-lem appearing on the college entrance examination paper in 2023 as an example to give some explanations and descriptions.

关 键 词：圆锥曲线 变量 变量代换 

分 类 号：G63[文化科学—教育学]