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阿波罗尼斯圆在高考中的应用

Author(s)：
梅梅

Publication Title：

Wen Yuan (High School Edition) 2020 No.06

Affiliations：
四川省乐山市五通桥中学四川乐山 614800

Abstract：
在平面上给定相异的两点A、B,设P点在同一平面上,且满足PA/PB=λ,当λ>0且λ≠1时,点P的轨迹是一个圆,这个圆我们称为"阿波罗尼斯圆".近年来多地高考和各地模拟考试中,频频出现有关"阿波罗尼斯圆"的问题.笔者以"阿波罗尼斯圆在高考中的应用"教学为例,从阿波罗尼斯圆在教材中的体现、阿波罗尼斯圆的定义、阿波罗尼斯圆的证明、阿波罗尼斯圆在高考中的应用四个层面进行探讨,深层次提升高中生的数学解题能力,在解题过程中培养学生的数学抽象、逻辑推理、数学运算等素养.

Keywords：
阿波罗尼斯圆;高考;高中数学;解题教学;应用

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[1] 梅梅.阿波罗尼斯圆在高考中的应用[J].Wen Yuan (High School Edition),2020(06),.

文渊(高中版)

Wen Yuan (High School Edition)

Language: 中文

CN：11-9276/G

ISSN：2096-6288

Publication Frequency: 月刊

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