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H-Kite Filtered

H-Kite Filtered
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2020-03-05 16:02
CirclePolygonFunctionTrigonometryGeometric Construction
This example demonstrates the construction of a kite and its related geometric elements to illustrate mathematical concepts. Core math concepts include the kite, normal distribution, cosine function, addition, rotation, and circle. Construction highlights from the summary involve commands/objects like Circle, Segment, OrthogonalLine, Line, Polygon, Intersect, Ray, Distance, If, and Min in GeoGebra. Suitable for high school mathematics teaching, used for dynamic demonstrations of geometric constructions and function graphs.

GeoGebra Commands & Parameters

  1. Circle(B, C) → f
  2. Circle(D, C) → g
  3. Segment(B, D) → f_1
  4. OrthogonalLine(C, f_1) → i_1
  5. Line(B, C) → a
  6. Polygon(B, C, D, A) → poly1, b, c, c_1, a_1
  7. Line(B, c) → d
  8. Line(D, b) → e
  9. Circle(C, D) → h
  10. Circle(C, B) → k
  11. Circle(B, Distance[C, D]) → q
  12. Intersect(d, e) → G
  13. Circle(D, G) → p
  14. Intersect(q, e) → E, F
  15. Intersect(p, d) → H, I
  16. Intersect(g, d) → J, K
  17. Intersect(g, e) → L, M
  18. OrthogonalLine(D, d) → i
  19. Intersect(i, d) → N
  20. OrthogonalLine(B, e) → j
  21. Intersect(j, e) → O
  22. Ray(B, F) → l
  23. Ray(D, F) → m
  24. Circle(N, 0.3) → g_1
  25. Circle(O, 0.3) → h_1
  26. Circle(I, 0.3) → t
  27. Circle(E, 0.3) → s
  28. Circle(G, 0.3) → r
  29. Distance(A, i_1) → Daltdist
  30. Distance(A, H) → Makdist
  31. If(Makdist < 0.25, true) → IsRhum
  32. Distance(A, I) → ADeqBCdist
  33. Distance(A, E) → ABeqCDdist
  34. Min(Distance[A, O], Distance[A, N]) → BAD90dist
  35. Distance(A, l) → CDparABdist
  36. Distance(A, m) → CBparADdist
  37. Circle(C, B) → e_1
  38. Distance(A, f_1) → tridist
  39. If(Daltdist < 0.25 ∧ tridist > 0.1 ∧ Distance[A, C] > 0.1, true) → IsDalt
  40. If((CBparADdist < 0.2 ∨ CDparABdist < 0.2) ∧ Makdist > 0.2, true) → Istrap

AI Drawing Prompt Reference

Draw a kite shape using two intersecting circles and their centers. Connect the centers with a line and draw a perpendicular line. Form the kite by connecting the intersection points of the perpendicular line with the circles. Add auxiliary circles and points to highlight key locations, and use small circles to mark them. Finally, display different geometric relationships based on distance conditions.
The prompt above was compiled from the original drawing commands and is for reference only.