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What relationship is it?

What relationship is it?
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2018-05-24 21:31
FunctionCoordinate GeometryLimit
This example demonstrates mathematical relationships through geometric figures. It involves concepts such as multiplication, limits, Pythagoras' theorem, percentages, hyperbolas, and scatter plots. Using GeoGebra commands like Point, OrthogonalLine, Circle, Intersect, Polygon, Segment, and Ray, complex geometric figures can be constructed. Suitable for middle school mathematics education to help students understand various mathematical relationships.

GeoGebra Commands & Parameters

  1. Point(yAxis) → A
  2. OrthogonalLine(A, yAxis) → f
  3. Point(yAxis) → B
  4. OrthogonalLine(B, yAxis) → g
  5. Circle(A, 0.5) → c
  6. Circle(B, 0.5) → d
  7. Intersect(c, yAxis, 2) → C
  8. Intersect(d, yAxis, 1) → D
  9. OrthogonalLine(C, yAxis) → h
  10. OrthogonalLine(D, yAxis) → i
  11. Circle(D, 1) → e
  12. Intersect(e, yAxis, 1) → E
  13. OrthogonalLine(E, yAxis) → j
  14. Circle(E, N) → k
  15. Intersect(k, j, 1) → F
  16. Circle(F, N) → p
  17. Intersect(p, j, 1) → G
  18. Circle(G, N) → q
  19. Intersect(q, j, 1) → H
  20. Circle(H, N) → r
  21. Intersect(r, j, 1) → I
  22. Circle(I, N) → s
  23. Intersect(s, j, 1) → J
  24. Circle(J, N) → t
  25. Intersect(t, j, 1) → K
  26. OrthogonalLine(F, j) → l
  27. Intersect(h, l) → L
  28. Intersect(f, l) → O
  29. Polygon(C, A, O, L) → q1, c_1, a, o, l_1
  30. Circle(B, (M * N)) → d_1
  31. Intersect(d_1, g, 1) → P
  32. OrthogonalLine(P, g) → m
  33. Intersect(i, m) → Q
  34. Polygon(B, P, Q, D) → q2, b, p_1, q_1, d_2
  35. Segment(E, F) → n
  36. Segment(F, G) → f_1
  37. Segment(G, H) → g_1
  38. Segment(H, I) → h_1
  39. Segment(I, J) → i_1
  40. Segment(J, K) → j_1
  41. Intersect(j, m) → R
  42. Intersect(j, m) → S
  43. Ray(E, F) → k_1
  44. Circle(K, N) → e_1
  45. Intersect(e_1, k_1, 2) → T
  46. Circle(T, N) → r_1
  47. Intersect(r_1, k_1, 2) → U
  48. Circle(U, N) → s_1
  49. Intersect(s_1, k_1, 2) → V
  50. Circle(V, N) → t_1
  51. Intersect(t_1, k_1, 2) → W
  52. Circle(W, N) → c_2
  53. Intersect(c_2, k_1, 2) → Z
  54. Circle(Z, N) → e_2
  55. Intersect(e_2, k_1, 2) → A_1
  56. Circle(A_1, N) → f_2
  57. Intersect(f_2, k_1, 2) → B_1
  58. Circle(B_1, N) → g_2
  59. Intersect(g_2, k_1, 2) → C_1
  60. Circle(C_1, N) → h_2
  61. Intersect(h_2, k_1, 2) → D_1