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Combined Integer Operations

Combined Integer Operations
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2020-10-27 18:49
Geometric Construction
This example demonstrates the dynamic process and result display of combined integer operations. It involves core math concepts including integer operation rules, geometric transformations, and random number applications. Constructed using commands like Corner, Polygon, Random, Textfield, CircleArc, Circle, and If, it achieves graphic generation and interaction. Suitable for junior high school mathematics teaching, combining operation principles with geometric intuition.

GeoGebra Commands & Parameters

  1. Corner(2) → B
  2. Corner(1) → A
  3. Polygon(A, B, C, D) → polígono1, a, b, c, d
  4. Random(20, 30) → p4e1
  5. Random(1, 9) → p4e2
  6. Random(1, 9) → p4e3
  7. Random(1, 9) → p4e4
  8. Textfield(p4c1) → p4campoDeTexto1
  9. Textfield(p4c2) → p4campoDeTexto2
  10. Textfield(p4c4) → p4campoDeTexto4
  11. CircleArc(AC, BC, CC) → d_1
  12. Circle(AC_3, abs(t / 10)) → c_3
  13. Circle(AC_4, abs(t / 10)) → c_1
  14. Circle(AC_5, abs(t / 10)) → c_4
  15. Circle(AC_1, abs(t / 10)) → c_5
  16. Circle(AC_7, abs(t / 10)) → c_6
  17. Circle(AC_8, abs(t / 10)) → c_8
  18. Circle(AC, abs(t / 5)) → c_9
  19. Circle(DC, abs(t / 20)) → e_1
  20. Circle(EC, abs(t / 20)) → f_1
  21. Circle(EC, abs(t / 40)) → g_1
  22. Circle(DC, abs(t / 40)) → h_1
  23. If(p4e1 < 0, "-", "+") → signop4e1
  24. If(p4e2 < 0, "-", "+") → signop4e2
  25. If(p4e3 < 0, "-", "+") → signop4e3
  26. If(p4e4 < 0, "-", "+") → signop4e4
  27. If(p4e2 + p4e3 < 0, "-", "+") → signop4e2e3
  28. If(p4e1 - (p4e2 + p4e3) < 0, "-", "+") → signop4e1e2e3
  29. If((p4e4 * (p4e3 + p4e2)) < 0, "-", "+") → signop4e4e3e2
  30. If(p4e2 + p4e3 < 0, "+", "-") → signomenosp4e2e3
  31. Textfield(p4c5) → p4campoDeTexto5
  32. Textfield(p4c3) → p4campoDeTexto3
  33. Textfield(p4c6) → p4campoDeTexto6
  34. If(p4e1 - (p4e2 + p4e3) < 0, "+", "-") → signomenosp4e1e2e3
  35. Circle(AC_2, abs(t / 2)) → c_2
  36. Circle(AC_6, abs(t / 2)) → c_7

AI Drawing Prompt Reference

Construct a plane figure starting with two chosen corner points to define a quadrilateral. Display several randomly generated integer values in text fields. Build a circular arc using the two relevant edge endpoints as arc endpoints, then draw multiple circles centered at endpoints with radii defined from a single varying parameter so that the circles have different size scales and overlap around the quadrilateral. Add plus/minus symbols next to the displayed integers depending on their signs, and also include plus/minus symbols for sign decisions based on combinations of those integers.
The prompt above was compiled from the original drawing commands and is for reference only.