选择合适的数字

选择合适的数字
几何画板及绘图内容加载中,请稍等……
2021-09-08 16:18
所属专题 Ⓔ Zahlenmengen
①这个范例演示了如何从给定数字列表中选择合适的数字进行操作;②涉及的核心数学概念包括自然数、除法、标准差、比例、随机数生成和几何图形的构造;③作图要点——从下方『构造摘要』提炼用到了 Append, Remove, Shuffle, Element, Join, Textfield, Polygon, Line, Sequence, Circle 等GeoGebra命令和对象;④适合高中数学教学,用于概率统计和几何作图的实践。

GeoGebra 命令及参数

  1. Append(true, Sequence[If[name(i) ≟ name(i - 1), false, true], i, 2, 100]) → stayX
  2. Remove(Sequence[If[stayX(i), name(i), 0], i, 1, 100], Sequence[0, i, 1, 100]) → nameNoRepeat
  3. Shuffle({1, 2, 3, 4, 5, 6}) → randomNosForY, {1, 5, 6, 2, 4, 3}
  4. Element(randomNosForY, Mod[questionCount, 100] + 1) → numY
  5. Shuffle(Sequence[Random[6, 9], i, 1, 100]) → bsp1b, {8, 8, 9, 9, 9, 9, 8, 6, 6, 7, 8, 6, 6, 8, 6, 9, 9, 9, 7, 6, 7, 6, 7, 6, 9, 9, 9, 8, 7, 8, 9, 6, 9, 9, 6, 8, 9, 8, 6, 8, 8, 8, 6, 6, 7, 9, 8, 9, 7, 7, 9, 7, 6, 9, 6, 6, 8, 6, 7, 8, 7, 6, 9, 8, 9, 8, 6, 9, 7, 7, 8, 6, 9, 6, 6, 6, 8, 9, 8, 9, 9, 6, 9, 7, 8, 7, 8, 7, 7, 9, 9, 8, 6, 9, 8, 7, 6, 9, 9, 9}
  6. Element(bsp1b, Mod[questionCount, 100] + 1) → num1b
  7. Shuffle(Sequence[Random[2, 4], i, 1, 100]) → bsp1a, {2, 4, 4, 4, 3, 3, 3, 2, 2, 2, 4, 3, 4, 2, 2, 4, 4, 2, 3, 4, 3, 4, 4, 2, 2, 3, 2, 2, 3, 2, 2, 3, 4, 3, 3, 3, 4, 3, 4, 2, 4, 4, 2, 2, 2, 4, 2, 4, 2, 2, 3, 4, 2, 4, 2, 3, 4, 3, 4, 3, 2, 4, 2, 2, 3, 4, 4, 2, 2, 4, 4, 4, 4, 2, 3, 2, 2, 3, 2, 2, 4, 4, 3, 2, 4, 2, 4, 3, 4, 3, 3, 4, 4, 4, 2, 2, 3, 2, 3, 2}
  8. Element(bsp1a, Mod[questionCount, 100] + 1) → num1a
  9. Join({{1}, listBsp}) → randomNosForX
  10. Shuffle(Sequence[Random[7, 13], i, 1, 100]) → bsp2a, {11, 11, 9, 13, 10, 12, 11, 9, 13, 8, 9, 10, 13, 12, 13, 12, 12, 9, 12, 13, 10, 13, 13, 13, 7, 13, 8, 13, 10, 8, 12, 9, 7, 8, 7, 7, 10, 8, 11, 11, 13, 7, 8, 9, 10, 10, 12, 8, 7, 8, 9, 10, 8, 8, 9, 7, 12, 8, 13, 12, 13, 7, 9, 11, 12, 10, 7, 8, 7, 11, 9, 12, 8, 11, 10, 10, 8, 8, 9, 7, 7, 7, 7, 7, 9, 7, 8, 10, 13, 7, 7, 12, 10, 11, 7, 11, 11, 10, 13, 11}
  11. Element(bsp2a, Mod[questionCount, 100] + 1) → num2a
  12. Shuffle(Sequence[Random[15, 18], i, 1, 100]) → bsp2b, {16, 18, 18, 17, 18, 16, 15, 17, 16, 15, 16, 16, 15, 15, 17, 15, 15, 18, 18, 15, 18, 17, 17, 16, 16, 15, 17, 18, 17, 15, 18, 16, 17, 16, 15, 18, 16, 15, 17, 17, 16, 17, 16, 16, 18, 18, 16, 16, 15, 18, 17, 15, 17, 18, 15, 17, 15, 17, 18, 16, 15, 18, 16, 17, 15, 18, 15, 15, 15, 16, 18, 16, 16, 15, 18, 16, 17, 18, 15, 18, 16, 15, 17, 16, 17, 15, 17, 16, 16, 17, 18, 18, 15, 15, 18, 17, 16, 17, 15, 17}
  13. Element(bsp2b, Mod[questionCount, 100] + 1) → num2b
  14. Shuffle(Sequence[Random[2, 4], i, 1, 100]) → bsp3a, {4, 2, 3, 3, 2, 2, 3, 3, 2, 3, 2, 3, 3, 2, 3, 2, 4, 2, 3, 3, 2, 3, 3, 4, 4, 4, 3, 2, 2, 3, 2, 3, 3, 2, 3, 4, 2, 2, 2, 4, 4, 4, 3, 2, 2, 4, 4, 2, 4, 3, 3, 4, 3, 3, 4, 3, 2, 2, 2, 3, 3, 2, 3, 4, 4, 3, 4, 3, 4, 3, 2, 3, 3, 2, 2, 4, 2, 2, 2, 2, 3, 2, 4, 3, 3, 2, 3, 3, 2, 2, 4, 4, 4, 3, 3, 2, 2, 3, 2, 4}
  15. Element(bsp3a, Mod[questionCount, 100] + 1) → num3a
  16. Shuffle(Sequence[Random[6, 7], i, 1, 100]) → bsp3b, {7, 7, 6, 6, 7, 7, 6, 6, 6, 6, 6, 7, 7, 7, 7, 6, 7, 6, 6, 6, 6, 7, 7, 6, 7, 7, 6, 6, 7, 6, 6, 7, 7, 6, 7, 7, 6, 6, 6, 6, 7, 6, 7, 6, 7, 7, 6, 7, 6, 7, 7, 6, 6, 6, 6, 7, 7, 7, 7, 6, 7, 6, 7, 6, 6, 7, 6, 7, 7, 6, 6, 7, 7, 7, 6, 7, 7, 6, 6, 7, 6, 7, 7, 7, 6, 6, 7, 6, 6, 7, 7, 6, 7, 7, 6, 6, 6, 6, 6, 7}
  17. Element(bsp3b, Mod[questionCount, 100] + 1) → num3b
  18. Shuffle(Sequence[Random[9, 15], i, 1, 100]) → bsp4a, {14, 12, 13, 14, 13, 12, 15, 12, 15, 10, 10, 9, 10, 12, 12, 10, 11, 13, 9, 11, 12, 9, 14, 15, 14, 13, 14, 10, 15, 15, 12, 9, 13, 14, 15, 15, 13, 9, 14, 11, 13, 14, 13, 11, 15, 9, 15, 9, 10, 9, 13, 13, 12, 11, 14, 15, 13, 12, 12, 13, 11, 12, 12, 13, 14, 11, 15, 13, 13, 12, 10, 12, 14, 9, 10, 13, 11, 12, 11, 11, 13, 12, 11, 15, 9, 15, 15, 15, 14, 10, 14, 14, 14, 13, 13, 11, 9, 15, 12, 9}
  19. Element(bsp4a, Mod[questionCount, 100] + 1) → num4a
  20. Shuffle(Sequence[Random[17, 21], i, 1, 100]) → bsp4b, {21, 17, 18, 20, 17, 21, 20, 18, 20, 21, 17, 17, 21, 19, 21, 18, 17, 18, 18, 18, 20, 20, 21, 21, 17, 18, 20, 21, 18, 18, 20, 19, 20, 18, 17, 20, 21, 18, 17, 20, 18, 21, 19, 17, 18, 17, 17, 17, 20, 20, 21, 20, 17, 20, 17, 20, 20, 19, 17, 17, 18, 18, 21, 21, 17, 17, 19, 19, 18, 20, 18, 20, 19, 19, 18, 19, 20, 21, 20, 21, 20, 18, 20, 20, 21, 21, 18, 19, 19, 21, 19, 20, 18, 19, 19, 19, 20, 21, 19, 17}
  21. Element(bsp4b, Mod[questionCount, 100] + 1) → num4b
  22. Textfield(aInput) → InputBox1
  23. Textfield(bInput) → InputBox2
  24. Polygon(PtopLeftCornerFeedback, PtopRightCornerFeedback, PbottomRightCornerFeedback, PbottomLeftCornerFeedback) → rectangleCorrect, ptopleftcornerfeedback, ptoprightcornerfeedback, pbottomrightcornerfeedback, pbottomleftcornerfeedback
  25. Line(A, B) → f
  26. Sequence(numbers1(numX) + 1, numbers2(numX) - 1, 1) → sol
  27. Sequence(numbers1(numX) + 1, numbers2(numX) - 1, 1) → sol2
  28. Circle(K, L) → k1
  29. Circle(K_{1}, L_{1}) → k2
  30. Circle(K_{2}, L_{2}) → k3
  31. Circle(K_{3}, L_{3}) → k4
  32. Circle(K_{4}, L_{4}) → k5
  33. Circle(K_{5}, L_{5}) → k6
  34. Circle(K_{6}, L_{6}) → k7
  35. Circle(K_{7}, L_{7}) → k8
  36. Circle(K_{8}, L_{8}) → k9
  37. Circle(K_{9}, L_{9}) → k10
  38. Circle(K_{10}, L_{10}) → k11
  39. Circle(K_{11}, L_{11}) → k12
  40. Circle(K_{23}, L_{23}) → k1_{1}
  41. Circle(K_{22}, L_{22}) → k2_{1}
  42. Circle(K_{21}, L_{21}) → k3_{1}
  43. Circle(K_{20}, L_{20}) → k4_{1}
  44. Circle(K_{19}, L_{19}) → k5_{1}
  45. Circle(K_{18}, L_{18}) → k6_{1}
  46. Circle(K_{17}, L_{17}) → k7_{1}
  47. Circle(K_{16}, L_{16}) → k8_{1}
  48. Circle(K_{15}, L_{15}) → k9_{1}
  49. Circle(K_{14}, L_{14}) → k10_{1}
  50. Circle(K_{13}, L_{13}) → k11_{1}
  51. Circle(K_{12}, L_{12}) → k12_{1}

AI 绘图提示语参考

画一个包含多个圆和线段的图形,图形中有 12 个圆,分别表示不同的数字,圆心和半径由随机数生成。图形中还包含多条线段,连接圆心和圆周上的点,形成多个三角形和矩形。图形的背景是白色,圆和线段的颜色是随机生成的。
以上提示语为根据原始绘图命令整理而来,仅供参考。