积极 AI Logo 积极 AI

根号3的几何构造 by Tony_Reyes

根号3的几何构造 by Tony_Reyes
几何画板及绘图内容加载中，请稍等……
2018-02-23 04:03
圆解析几何几何作图
①本范例演示了如何通过几何方法构造根号3的长度；②涉及的核心数学概念包括坐标几何、圆的性质、正交线和中点等；③作图要点提炼自构造摘要，使用了点、线段、圆、交点、正交线、中点等GeoGebra命令和对象；④适合高中数学教学和几何作图学习。

GeoGebra 命令及参数

  1. Point(Circle[A, 3]) → B
  2. Segment(A, B) → f
  3. Point(Circle[B, 1]) → C
  4. Segment(B, C) → g
  5. Point(f) → D
  6. Circle(C, D) → c
  7. Circle(A, Segment[C, D]) → d
  8. Intersect(c, d) → E, F, ,
  9. Line(F, E) → h
  10. Intersect(f, h) → G
  11. Point(f) → H
  12. Circle(C, H) → e
  13. Point(g) → I
  14. Circle(G, I) → k
  15. Intersect(e, k, 2) → J
  16. Intersect(e, k, 1) → K
  17. Line(J, K) → i
  18. Semicircle(A, C) → p
  19. Intersect(p, i, 1) → L
  20. Distance(L, B) → distanceLB
  21. Distance(A, B) → distanceAB
  22. OrthogonalLine(B, f) → j
  23. Point(p) → M
  24. OrthogonalLine(M, f) → l
  25. Distance(M, B) → distanceMB
  26. Midpoint(M, B) →
  27. Intersect(l, f) → N
  28. Distance(M, L) → distanceML
  29. Midpoint(M, L) →
  30. Distance(M, N) → distanceMN
  31. Midpoint(M, N) →