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Number-generating Machine

Number-generating Machine
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2020-07-06 15:11
FunctionSequenceCoordinate GeometryProbability & Statistics
This example demonstrates the working principle of a number-generating machine and the process of random number generation. Core math concepts include Probability & Statistics, Functions, Sequences, and Coordinate Geometry. Construction highlights involve the use of GeoGebra commands like If, Text, Corner, along with objects such as variables a, b, text elements (text1-text15), line segments (l1, l2), points (A, B), images (pic1-pic3), and buttons (button1). Suitable for high school students learning Probability & Statistics, Functions, and Sequences.

GeoGebra Commands & Parameters

  1. If(b > 0, "+", "-") → text1
  2. If(chi ≟ false, "Select the general term...", "選擇一個通項...") → text15
  3. If(chi ≟ false, "Select an input number...", "選擇一個輸入數字...") → text14
  4. Text(a + b) → out21
  5. Text((a * 2) + b) → out22
  6. Text((a * 3) + b) → out23
  7. Text((a * 4) + b) → out24
  8. Text((a * 5) + b) → out25
  9. Text((a * 6) + b) → out26
  10. Text((a * 7) + b) → out27
  11. Text((a * 8) + b) → out28
  12. Text((a * 9) + b) → out29
  13. Corner(1, 1) → Z
  14. Text(1 + b) → out41
  15. Text(4 + b) → out42
  16. Text(9 + b) → out43
  17. Text(16 + b) → out44
  18. Text(25 + b) → out45
  19. Text(36 + b) → out46
  20. Text(49 + b) → out47
  21. Text(64 + b) → out48
  22. Text(81 + b) → out49
  23. Text(a + b) → out51
  24. Text((3 * ((a * 3) + b))) → out53
  25. Text((2 * ((a * 2) + b))) → out52
  26. Text((4 * ((a * 4) + b))) → out54
  27. Text((5 * ((a * 5) + b))) → out55
  28. Text((6 * ((a * 6) + b))) → out56
  29. Text((7 * ((a * 7) + b))) → out57
  30. Text((8 * ((a * 8) + b))) → out58
  31. Text((9 * ((a * 9) + b))) → out59