怎么找到圆心

在求解圆的周长或面积等基础几何题时,通常需要找到一个圆的圆心。阅读本文,了解如何只使用圆规和直尺来找到圆心。

方法 1 的 2:

画一个圆并标注相应的点

  1. {"smallUrl":"https:\/\/www.zenmeban.com\/images_en\/thumb\/9\/90\/Find-the-Center-of-a-Circle-Step-1.jpg\/v4-460px-Find-the-Center-of-a-Circle-Step-1.jpg","bigUrl":"https:\/\/www.zenmeban.com\/images\/thumb\/9\/90\/Find-the-Center-of-a-Circle-Step-1.jpg\/v4-728px-Find-the-Center-of-a-Circle-Step-1.jpg","smallWidth":460,"smallHeight":345,"bigWidth":728,"bigHeight":546,"licensing":"<div class=\"mw-parser-output\"><\/div>"} 1 使用几何圆规在一张白纸上画一个任意大小的圆。几何圆规用于绘制和测量圆,在大多数零售商店有售。
  2. {"smallUrl":"https:\/\/www.zenmeban.com\/images_en\/thumb\/1\/18\/Find-the-Center-of-a-Circle-Step-2.jpg\/v4-460px-Find-the-Center-of-a-Circle-Step-2.jpg","bigUrl":"https:\/\/www.zenmeban.com\/images\/thumb\/1\/18\/Find-the-Center-of-a-Circle-Step-2.jpg\/v4-728px-Find-the-Center-of-a-Circle-Step-2.jpg","smallWidth":460,"smallHeight":345,"bigWidth":728,"bigHeight":546,"licensing":"<div class=\"mw-parser-output\"><\/div>"} 2 使用刻度尺或直尺在圆内画一条水平线,连接圆周上两个不同的点。可在圆的顶部、底部及其他任意位置画水平线。
  3. {"smallUrl":"https:\/\/www.zenmeban.com\/images_en\/thumb\/0\/02\/Find-the-Center-of-a-Circle-Step-3.jpg\/v4-460px-Find-the-Center-of-a-Circle-Step-3.jpg","bigUrl":"https:\/\/www.zenmeban.com\/images\/thumb\/0\/02\/Find-the-Center-of-a-Circle-Step-3.jpg\/v4-728px-Find-the-Center-of-a-Circle-Step-3.jpg","smallWidth":460,"smallHeight":345,"bigWidth":728,"bigHeight":546,"licensing":"<div class=\"mw-parser-output\"><\/div>"} 3 在水平线与圆周相交处分别标注 A 和 B 点。
方法 2 的 2:

找圆心

  1. {"smallUrl":"https:\/\/www.zenmeban.com\/images_en\/thumb\/6\/64\/Find-the-Center-of-a-Circle-Step-4.jpg\/v4-460px-Find-the-Center-of-a-Circle-Step-4.jpg","bigUrl":"https:\/\/www.zenmeban.com\/images\/thumb\/6\/64\/Find-the-Center-of-a-Circle-Step-4.jpg\/v4-728px-Find-the-Center-of-a-Circle-Step-4.jpg","smallWidth":460,"smallHeight":345,"bigWidth":728,"bigHeight":546,"licensing":"<div class=\"mw-parser-output\"><\/div>"} 1 画两个部分重叠的圆,其中一个以 A 为圆心,另一个以 B 为圆心。确保两个圆部分重叠,类似于韦恩图。
  2. {"smallUrl":"https:\/\/www.zenmeban.com\/images_en\/thumb\/f\/f5\/Find-the-Center-of-a-Circle-Step-5.jpg\/v4-460px-Find-the-Center-of-a-Circle-Step-5.jpg","bigUrl":"https:\/\/www.zenmeban.com\/images\/thumb\/f\/f5\/Find-the-Center-of-a-Circle-Step-5.jpg\/v4-728px-Find-the-Center-of-a-Circle-Step-5.jpg","smallWidth":460,"smallHeight":345,"bigWidth":728,"bigHeight":546,"licensing":"<div class=\"mw-parser-output\"><\/div>"} 2 通过两个圆相交的两个点,画一条垂线。
  3. {"smallUrl":"https:\/\/www.zenmeban.com\/images_en\/thumb\/c\/ca\/Find-the-Center-of-a-Circle-Step-6.jpg\/v4-460px-Find-the-Center-of-a-Circle-Step-6.jpg","bigUrl":"https:\/\/www.zenmeban.com\/images\/thumb\/c\/ca\/Find-the-Center-of-a-Circle-Step-6.jpg\/v4-728px-Find-the-Center-of-a-Circle-Step-6.jpg","smallWidth":460,"smallHeight":345,"bigWidth":728,"bigHeight":546,"licensing":"<div class=\"mw-parser-output\"><\/div>"} 3 擦掉您刚才所画的两个圆以简化图形,但请保留交点的字母标注(稍后还需要画 2 个新圆)。
  4. {"smallUrl":"https:\/\/www.zenmeban.com\/images_en\/thumb\/9\/90\/Find-the-Center-of-a-Circle-Step-7.jpg\/v4-460px-Find-the-Center-of-a-Circle-Step-7.jpg","bigUrl":"https:\/\/www.zenmeban.com\/images\/thumb\/9\/90\/Find-the-Center-of-a-Circle-Step-7.jpg\/v4-728px-Find-the-Center-of-a-Circle-Step-7.jpg","smallWidth":460,"smallHeight":345,"bigWidth":728,"bigHeight":546,"licensing":"<div class=\"mw-parser-output\"><\/div>"} 4 分别以上图中所示的 C 点和 D 点为圆心,用圆规画两个大小相同的圆,即分别以垂线与主圆相交的两点为圆心。
  5. {"smallUrl":"https:\/\/www.zenmeban.com\/images_en\/thumb\/3\/3f\/Find-the-Center-of-a-Circle-Step-8.jpg\/v4-460px-Find-the-Center-of-a-Circle-Step-8.jpg","bigUrl":"https:\/\/www.zenmeban.com\/images\/thumb\/3\/3f\/Find-the-Center-of-a-Circle-Step-8.jpg\/v4-728px-Find-the-Center-of-a-Circle-Step-8.jpg","smallWidth":460,"smallHeight":345,"bigWidth":728,"bigHeight":546,"licensing":"<div class=\"mw-parser-output\"><\/div>"} 5 通过两个新圆的交点,画一条水平线。此即第二条直径。
  6. {"smallUrl":"https:\/\/www.zenmeban.com\/images_en\/thumb\/b\/b6\/Find-the-Center-of-a-Circle-Step-9.jpg\/v4-460px-Find-the-Center-of-a-Circle-Step-9.jpg","bigUrl":"https:\/\/www.zenmeban.com\/images\/thumb\/b\/b6\/Find-the-Center-of-a-Circle-Step-9.jpg\/v4-728px-Find-the-Center-of-a-Circle-Step-9.jpg","smallWidth":460,"smallHeight":345,"bigWidth":728,"bigHeight":546,"licensing":"<div class=\"mw-parser-output\"><\/div>"} 6两条直线的交点即圆心!

小提示

  • 用绘图纸画图更方便。

警告

  • 为了找到圆的真实圆心,您必须使用几何圆规和直尺。
  • 直尺与刻度尺不一样,刻度尺上标注有刻度。

你需要准备

  • 铅笔
  • 直尺
  • 几何圆规

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