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How Quantities Relate

How Quantities Relate
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2018-10-11 09:34
FunctionTrigonometryCoordinate GeometryGeometric Construction
This example demonstrates the relationship between geometric quantities like ellipses, secant lines, and median values. It involves core math concepts such as multiplication, division, expected value, and median value. Constructed using GeoGebra commands like Point, OrthogonalLine, Circle, Intersect, Polygon, Segment, Ray. Suitable for high school mathematics students and researchers.

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