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Peanut Hunt

Peanut Hunt
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2015-10-31 02:57
AngleTransformationGeometric Construction
This example demonstrates a geometric game where an elephant moves on a plane to match the target angle measure. Core math concepts include angle measurement, geometric transformations, and logical reasoning. Construction highlights GeoGebra commands/objects like Circle, Segment, Point, Angle, Random, Rotate, If, OrthogonalLine, Vector, Translate, and Polygon. Suitable for middle school and above students learning angles, transformations, and computational geometry.

GeoGebra Commands & Parameters

  1. Circle(A, B) → c
  2. Segment(A, B) → a
  3. Point(c) → C
  4. Segment(A, C) → b
  5. Angle(B, A, C) → α
  6. Point(b) → D
  7. Random(1, 359) → ang
  8. Rotate(B, ang°, A) → B'
  9. Angle(B, A, B') → β
  10. If(α ≥ β, floor(α), ceil(α)) → result
  11. Point(b) → G
  12. OrthogonalLine(G, b) → d
  13. Point(d) → H
  14. Point(d) → I
  15. Vector(J, K) → u
  16. Translate(peanut0, u) → peanut1
  17. Translate(peanut1, u) → peanut2
  18. Translate(peanut2, u) → peanut3
  19. Translate(peanut3, u) → peanut4
  20. Translate(peanut4, u) → peanut5
  21. Translate(peanut5, u) → peanut6
  22. Translate(peanut6, u) → peanut7
  23. Translate(peanut7, u) → peanut8
  24. Translate(peanut8, u) → peanut9
  25. Polygon(L, M, N, O) → poly1, l, m, n_1, o
  26. Circle(A, B) → e

AI Drawing Prompt Reference

Draw a geometric game scene with a circle and two segments. Connect the center of the circle to another point on the circle to form angle α. Randomly rotate the center point to get a new point B', forming angle β. Choose the integer part of α based on the comparison of α and β. Find points H and I using the orthogonal line, and create vector u connecting them. Translate a peanut shape along vector u nine times in total. Finally, draw a quadrilateral using four points.
The prompt above was compiled from the original drawing commands and is for reference only.