隐圆的相关应用_OpenScirbe Publishing

隐圆的相关应用

Author(s)：

杨煜 1 陈梅香 2*

Publication Title：

Wen Yuan (High School Edition) 2024 No.09

Affiliations：

1. 莆田学院数学与金融学院；2. 金融数学福建省高校重点实验室 ( 莆田学院 )

Abstract：

隐圆问题是高中数学中难度较大的一个跨单元主题，承接于初中的圆，融入了高中的平面向量、解三角形、解析几何等内容，须充分挖掘、发现和利用已知条件找出隐圆，本文从定点定值、动点轨迹、阿氏圆、向量定值、四点共圆五个方面进行论述隐圆的应用。

Keywords：

隐圆；平面向量；阿波罗尼斯圆；托勒密定理；解析几何

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[1] 杨煜,1,陈梅香,2.隐圆的相关应用[J].Wen Yuan (High School Edition),2024(09),.

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