均值演示

均值演示
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2019-04-02 08:08
①本范例演示正态分布下均值与等腰三角形、三角函数、分段函数的关系;②涉及核心数学概念包括正态分布、等腰三角形、三角函数、分段函数、几何作图;③构造要点:使用Intersect(交点)、Point(点)、Segment(线段)、Midpoint(中点)、Circle(圆)、OrthogonalLine(垂线)、Distance(距离)等命令;④适合高中及以上数学学习者和教师用于教学演示与探索。

GeoGebra 命令及参数

  1. Intersect(xAxis, yAxis) → A
  2. Point(xAxis) → X
  3. Segment(A, X) → f
  4. Point(xAxis) → B
  5. Segment(X, B) → g
  6. Midpoint(A, B) → O
  7. Circle(O, B) → c
  8. OrthogonalLine(X, f) → i
  9. Intersect(c, i) → E, G
  10. Segment(G, O) → h
  11. Segment(G, X) → j
  12. OrthogonalLine(X, h) → k
  13. Intersect(h, k) → H
  14. Segment(X, H) → l
  15. Segment(H, G) → m
  16. Distance(O, G) → distanceOG
  17. Distance(H, G) → distanceHG
  18. Distance(X, G) → distanceXG
  19. Distance(A, X) → distanceAX
  20. Distance(X, B) → distanceXB
  21. OrthogonalLine(X, g) → n
  22. OrthogonalLine(B, g) → p
  23. OrthogonalLine(A, xAxis) → q
  24. OrthogonalLine(H, h) → r
  25. OrthogonalLine(G, h) → s
  26. Point(q) → C
  27. OrthogonalLine(C, q) → t
  28. Point(n) → D
  29. Segment(X, D) → a
  30. Intersect(p, t) → F
  31. Segment(F, B) → d
  32. Intersect(q, t) → I
  33. Segment(I, A) → f_1
  34. Circle(G, 1) → c_1
  35. Circle(H, 1) → d_1
  36. Intersect(c_1, s) → J, K
  37. Intersect(d_1, r) → L, M
  38. Segment(G, K) → g_1
  39. Segment(H, M) → h_1
  40. Segment(K, M) → i_1
  41. Intersect(n, t) → N
  42. Intersect(t, yAxis) → P
  43. Intersect(p, t) → Q
  44. Segment(B, Q) → j_1
  45. Segment(Q, N) → k_1
  46. Segment(N, P) → l_1
  47. Segment(P, A) → m_1
  48. Segment(N, X) → n_1
  49. Circle(G, 1.5) → e
  50. Circle(O, 1.5) → e_1
  51. OrthogonalLine(O, h) → b
  52. OrthogonalLine(G, h) → p_1
  53. Intersect(e, p_1) → R, S
  54. Intersect(e_1, b) → T, U
  55. Segment(G, S) → q_1
  56. Segment(S, U) → r_1
  57. Segment(U, O) → s_1