构造 | “圆”来是你：构造圆的9种方法（优选）
01从“圆的定义”切入构造
平面内与定点距离等于定长的点的集合（轨迹）是圆，定点就是圆心，定长就是半径。
http://img.biiyy.com/360doc/2021/05/16/17/m1q0mz2jzxv.jpg
http://img.biiyy.com/360doc/2021/05/16/17/0utrlzsv2mm.jpg
02
利用“直径所对的圆周角为直角”构造
http://img.biiyy.com/360doc/2021/05/16/17/svokdvn3vme.jpg
http://img.biiyy.com/360doc/2021/05/16/17/le0mpjt5zhg.jpg
http://img.biiyy.com/360doc/2021/05/16/17/m1fkqrmrppb.jpg
http://img.biiyy.com/360doc/2021/05/16/17/l3oqqa5fvji.jpg
03
根据圆的距离定义构造
http://img.biiyy.com/360doc/2021/05/16/17/ucyzyqcjb2z.jpg
http://img.biiyy.com/360doc/2021/05/16/17/wkmcatsl2sz.jpg
04
利用阿波罗尼斯圆构造
http://img.biiyy.com/360doc/2021/05/16/17/b514yxytiqk.jpg
http://img.biiyy.com/360doc/2021/05/16/17/hg05jc02egw.jpg
05
构造蒙日圆
http://img.biiyy.com/360doc/2021/05/16/17/yqtwdrstezn.jpg
http://img.biiyy.com/360doc/2021/05/16/17/bn51sc2ngv5.jpg
http://img.biiyy.com/360doc/2021/05/16/17/rvhvkljyei2.jpg
http://img.biiyy.com/360doc/2021/05/16/17/qj0uybhsunb.jpg
06
结合三角函数构造圆
http://img.biiyy.com/360doc/2021/05/16/17/x4bsryb4ovf.jpg
07
圆的弦长为定值，弦中点的轨迹是圆
http://img.biiyy.com/360doc/2021/05/16/17/yix2lc2td4y.jpg
http://img.biiyy.com/360doc/2021/05/16/17/erz4iqgzy1s.jpg
08
相关点法、由圆生圆
http://img.biiyy.com/360doc/2021/05/16/17/k3ljhcw3uf5.jpg
09
伸缩变换，椭圆变圆
http://img.biiyy.com/360doc/2021/05/16/17/gyf5jyodguk.jpg
说明：本专题构造蒙日圆内容及习题，选自公众号MathFans《蒙日圆定理的应用》，在此表示感谢！
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