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H-菱形-筛选报告

H-菱形-筛选报告
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2020-02-26 18:15
函数参数方程几何作图
该范例演示了H-菱形的构造过程及其筛选报告。涉及的核心数学概念包括参数曲线和指数函数。通过使用GeoGebra命令如Circle, Segment, OrthogonalLine等，可以构造菱形并分析其性质。适合高中数学教学和学习。

GeoGebra 命令及参数

  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