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圆周长计算

圆周长计算
几何画板及绘图内容加载中，请稍等……
2017-04-12 11:00
圆几何作图
①本范例演示如何通过 GeoGebra 绘制圆并计算其周长；②涉及核心数学概念包括圆、周长、分数、数字、复数；③作图要点：使用 Polygon, Circle, Text 命令，创建半径、点、文本对象等；④适合初中及以上学生学习几何作图与圆的性质。

GeoGebra 命令及参数

  1. Polygon({(3.5, 0), (2.4748737341529163, 2.474873734152916), (0, 3.5), (-2.474873734152916, 2.4748737341529163), (-3.5, 0), (-2.474873734152917, -2.474873734152916), (0, -3.5), (2.474873734152916, -2.474873734152917), (3.5, 0)}) → P2
  2. Polygon({(3.5, 0), (3.5, 2.474873734152916), (2.4748737341529163, 2.474873734152916), (2.4748737341529163, 3.5), (0, 3.5), (-2.474873734152916, 3.5), (-2.474873734152916, 2.4748737341529163), (-3.5, 2.4748737341529163), (-3.5, 0), (-3.5, -2.474873734152916), (-2.474873734152917, -2.474873734152916), (-2.474873734152917, -3.5), (0, -3.5), (2.474873734152916, -3.5), (2.474873734152916, -2.474873734152917), (3.5, -2.474873734152917), (3.5, 0)}) → P1
  3. Circle((0, 0), radius) → C
  4. Polygon({(radius, radius), ((-radius), radius), ((-radius), (-radius)), (radius, (-radius))}) → S
  5. Text("Rectilinear perimeter = " + (Perimeter[P1]) + " units", (1, 6)) → text2
  6. Text("Regular polygon perimeter = " + (Perimeter[P2]) + " units", (1, 5.5)) → text3

AI 绘图提示语参考

画一个圆，并计算其周长。首先绘制一个正九边形，使其内接于圆中，然后绘制圆本身。接着，计算并标注正九边形的周长和圆的周长，分别显示在图形上方。
以上提示语为根据原始绘图命令整理而来，仅供参考。