谜题:不等边三角形的组合

谜题:不等边三角形的组合
几何画板及绘图内容加载中,请稍等……
2016-06-09 02:51
这个范例演示了不等边三角形的组合方式。涉及的核心数学概念包括三角形的性质和组合数学。通过使用GeoGebra命令如Sequence、VerticalText、Point等,可以构造出多种不等边三角形的组合。适合初中及以上学生学习几何作图和组合数学。

GeoGebra 命令及参数

  1. Sequence(Segment[(0, 0 + (2 * k)), (10, 0 + (2 * k))], k, 0, 5) → list2
  2. Sequence(Segment[(0 + (2 * k), 0), (0 + (2 * k), 10)], k, 0, 5) → list1
  3. Sequence(Polygon[(-5, (2 * k)), (0, (2 * k)), (0, 2 + (2 * k)), (-5, 2 + (2 * k))], k, 0, 4) → list3
  4. Sequence(Polygon[((2 * k), 0), ((2 * k) + 2, 0), ((2 * k) + 2, -5), ((2 * k), -5)], k, 0, 4) → list4
  5. VerticalText(text6) → text11
  6. VerticalText(text7) → text12
  7. VerticalText(text8) → text13
  8. VerticalText(text9) → text14
  9. VerticalText(text10) → text15
  10. VerticalText(text47) → text48
  11. VerticalText(text49) → text50
  12. VerticalText(text51) → text52
  13. VerticalText(text53) → text54
  14. VerticalText(text55) → text56
  15. Point(list1) → B1
  16. Point(list1) → C1
  17. Point(list1) → D1
  18. Point(list1) → E1
  19. Point(list3) → F1
  20. Point(list1) → G1
  21. Point(list3) → K1
  22. Point(list1) → L1
  23. Point(list1) → M1
  24. Point(list1) → N1
  25. Point(list1) → O1
  26. Point(list3) → P1
  27. Point(list1) → Q1
  28. Point(list3) → U1
  29. Point(list1) → V1
  30. Point(list1) → Z1
  31. TableText({R1, R2, R3, R4, R5}, "c|_") → Sol
  32. Text(1, A1) → T1
  33. Text(3, A3) → T3
  34. Text(2, A2) → T2
  35. Text(4, A4) → T4
  36. Text(5, A5) → T5
  37. Text(6, A6) → T6
  38. Text(7, A7) → T7
  39. Text(9, A8) → T8
  40. Text(10, A9) → T9
  41. Text(11, A10) → T10
  42. Text(12, A11) → T11
  43. Text(15, A12) → T12
  44. Text(16, A13) → T13
  45. Text(18, A14) → T14
  46. Text(20, A15) → T15
  47. Text(21, A16) → T16
  48. Text(23, A17) → T17
  49. Text(24, A18) → T18
  50. Text(25, A19) → T19
  51. Text(30, A20) → T20
  52. Text(35, A21) → T21
  53. Text(36, A22) → T22
  54. Text(45, A23) → T23
  55. Text(55, A24) → T24
  56. Text(60, A25) → T25