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梯形性质探究 by Sara Anne Thomas

梯形性质探究 by Sara Anne Thomas
几何画板及绘图内容加载中，请稍等……
2015-10-20 04:49
多边形角几何作图
所属专题 Adv Geo: Kites, Trapezoids, and Isosceles Trapezoids Adv Geo: Kites, Trapezoids, and Isosceles Trapezoids
①本范例演示梯形的基本性质，包括对边平行、对角线关系等；②涉及核心数学概念有平行线、对角线、角度、距离、斜率等；③作图要点运用了Line, OrthogonalLine, Point, Circle, Intersect, CircleArc, Segment, Angle, Distance, Slope, Midpoint等GeoGebra命令与对象；④适合初中及以上学生用于几何学习和探究。

GeoGebra 命令及参数

  1. Line(H, I) → q
  2. OrthogonalLine(H, q) → r
  3. OrthogonalLine(I, q) → s
  4. Point(q) → J
  5. Circle(H, J) → t
  6. Intersect(t, r, 2) → K
  7. CircleArc(H, J, K) → c_1
  8. Point(c_1) → L
  9. Line(L, q) → a_1
  10. Intersect(a_1, s) → M
  11. Segment(L, M) → b_1
  12. Point(b_1) → N
  13. Segment(H, L) → d_1
  14. Segment(L, N) → e_1
  15. Segment(N, I) → f_1
  16. Segment(H, I) → g_1
  17. Angle(N, I, H) → ν
  18. Angle(I, H, L) → ξ
  19. Angle(H, L, N) → ο
  20. Angle(L, N, I) → ρ
  21. Distance(H, L) → distanceHL
  22. Distance(L, N) → distanceLN
  23. Distance(N, I) → distanceNI
  24. Distance(I, H) → distanceIH
  25. Slope(e_1) → m_2
  26. Slope(g_1) → m_3
  27. Segment(L, I) → h_1
  28. Segment(N, H) → i_1
  29. Intersect(h_1, i_1) → O
  30. Angle(H, L, O) → υ
  31. Angle(O, L, N) → ϕ
  32. Angle(L, N, O) → χ
  33. Angle(N, I, O) → ψ
  34. Angle(O, N, I) → ω
  35. Angle(O, I, H) → α_1
  36. Angle(I, H, O) → β_1
  37. Angle(O, H, L) → γ_1
  38. Distance(L, O) → distanceLO
  39. Distance(O, N) → distanceON
  40. Distance(O, I) → distanceOI
  41. Distance(O, H) → distanceOH
  42. Distance(L, I) → distanceLI
  43. Distance(N, H) → distanceNH
  44. Angle(L, O, H) → δ_1
  45. Angle(N, O, L) → ε_1
  46. Slope(f_1) → m
  47. Slope(d_1) → m_1
  48. Midpoint(d_1) → A
  49. Midpoint(f_1) → B
  50. Segment(A, B) → f
  51. Distance(A, B) → distanceAB
  52. Slope(f) → m_4