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如何关联数量关系

如何关联数量关系
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2018-10-11 09:34
函数三角函数解析几何几何作图
①本范例演示了椭圆、割线与中值等几何量的关系；②涉及核心数学概念包括乘法、除法、中值、期望值等；③作图要点提炼自GeoGebra命令：点、垂线、圆、交点、多边形、线段、射线等；④适合高中及以上数学学习者和研究者使用。

GeoGebra 命令及参数

  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