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Three Numbers Game

Three Numbers Game
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2018-01-04 16:41
CalculusProbability & StatisticsComplex NumberGeometric ConstructionGraphing
This example demonstrates an interactive graphical phenomenon based on three numbers, showcasing data distribution and function relationships through dynamic changes. Core math concepts include Probability & Statistics, Complex Numbers, Differential Calculus, and Function Graphing. Construction highlights the use of GeoGebra commands like Shuffle, Element, Sequence, and Ellipse with objects A1-A40. Suitable for high school and above learners to understand data visualization, function modeling, and complex number operations.

GeoGebra Commands & Parameters

  1. Shuffle(L) → list2
  2. Element(list2, 1) → a
  3. Element(list2, 2) → b
  4. Element(list2, 3) → c
  5. Element(list2, 4) → d
  6. Element(list2, 5) → e
  7. Element(list2, 6) → f
  8. Element(list2, 7) → g
  9. Element(list2, 8) → h
  10. Element(list2, 9) → i
  11. Element(list2, 10) → j
  12. Element(list2, 11) → k
  13. Element(list2, 12) → l
  14. Element(list2, 13) → m
  15. Element(list2, 14) → n
  16. Element(list2, 15) → o
  17. Element(list2, 16) → p
  18. Element(list2, 17) → q
  19. Element(list2, 18) → r
  20. Element(list2, 19) → s
  21. Element(list2, 20) → t
  22. Element(list2, 21) → u
  23. Element(list2, 22) → v
  24. Element(list2, 23) → w
  25. Element(list2, 24) → a_1
  26. Element(list2, 25) → b_1
  27. Element(list2, 25) → c_1
  28. Element(list2, 26) → c_2
  29. Element(list2, 28) → d_1
  30. Element(list2, 29) → e_1
  31. Element(list2, 30) → f_1
  32. Element(list2, 31) → g_1
  33. Element(list2, 32) → h_1
  34. Element(list2, 33) → i_1
  35. Element(list2, 34) → j_1
  36. Element(list2, 35) → k_1
  37. Element(list2, 36) → l_1
  38. Element(list2, 37) → m_1
  39. Element(list2, 38) → n_1
  40. Element(list2, 39) → o_1
  41. Element(list2, 40) → p_1
  42. Element(list2, 41) → q_1
  43. Element(list2, 42) → r_1
  44. Element(list2, 43) → s_1
  45. Element(list2, 44) → t_1
  46. Element(list2, 45) → u_1
  47. Element(list2, 46) → v_1
  48. Element(list2, 47) → v_2
  49. Element(list2, 48) → v_3
  50. Element(list2, 49) → v_4
  51. Sequence(Segment[(n, 0), (n, 7)], n, 0, 7) → L1
  52. Sequence(Segment[(0, m), (7, m)], m, 0, 7) → L2
  53. Ellipse(A, B, C) → c_1
  54. Shuffle(L3) → list3
  55. Element(list3, target) → targ

AI Drawing Prompt Reference

Create an interactive graph based on three numbers, demonstrating data distribution and function relationships. First, randomly generate 30 numbers, then use these numbers to create a series of ellipses, with each ellipse's center determined by three numbers representing the ellipse's parameters. Finally, use these ellipses to illustrate complex numbers, probability and statistics, calculus, and function graphs.
The prompt above was compiled from the original drawing commands and is for reference only.