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绘制正方形 by Caribou Contests

绘制正方形 by Caribou Contests
几何画板及绘图内容加载中，请稍等……
2015-09-11 03:20
多边形解析几何几何作图
这个范例演示如何使用GeoGebra绘制正方形。涉及的核心数学概念包括几何作图和解析几何。通过使用Segment, Line, Circle, Intersect等命令，可以构造正方形的各个边和顶点。适合初中及以上学生学习几何作图和解析几何。

GeoGebra 命令及参数

  1. Segment(A, B) → a
  2. Line(A, B) → zLine_1
  3. Circle(B, Segment[A, B]) → circle_1
  4. Intersect(circle_1, zLine_1, 2) → G
  5. Circle(A, Segment[A, G]) → circle_2
  6. Circle(G, Segment[A, G]) → circle_3
  7. Intersect(circle_2, circle_3, 1) → D_1
  8. Intersect(circle_2, circle_3, 2) → E_1
  9. Line(D_1, E_1) → zLine_2
  10. Circle(A, Segment[A, B]) → circle_4
  11. Intersect(circle_1, zLine_2, 1) → C_1
  12. Circle(C_1, Segment[A, B]) → circle_5
  13. Intersect(circle_4, circle_5, 1) → E_2
  14. Polygon(E_2, C_1, B, A) → zAnswer, g_1, f_1, b_1, a_1
  15. Line(A, B) → b
  16. Circle(B, Segment[A, B]) → c
  17. Intersect(c, b, 2) → C_2
  18. Circle(G, Segment[A, G]) → d
  19. Circle(A, Segment[G, A]) → e
  20. Intersect(d, e, 2) → D_2
  21. Intersect(d, e, 1) → E
  22. Line(D_2, E) → f
  23. Intersect(c, f, 1) → C
  24. Circle(C, Segment[B, A]) → g
  25. Circle(A, Segment[A, B]) → h
  26. Intersect(g, h, 2) → D
  27. Polygon(D, C, B, A) → poly1, h_1, f_2, b_2, a_2