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梯形的尺寸

梯形的尺寸
几何画板及绘图内容加载中，请稍等……
2018-02-26 17:50
多边形几何作图
所属专题 Folding paper, doing geometry figures
这个范例演示了梯形的尺寸关系。核心数学概念包括梯形的性质和几何作图。通过使用GeoGebra命令如Polygon、Midpoint、CircleArc等，可以构造梯形并探索其边长和高之间的关系。适合初中和高中学生学习几何作图和梯形性质。

GeoGebra 命令及参数

  1. Polygon(A, C, D, B) → vierhoek1, a, c, d, b
  2. Midpoint(B, D) → BD
  3. Midpoint(A, C) → F
  4. Midpoint(B, E) → G
  5. CircleArc(B, DD, D) → e
  6. Segment(B, E) → f
  7. Polygon(B, A, C, E) → vierhoek2, b_1, a_1, c_1, e_1
  8. Polygon(B, E, D) → driehoek1, d_1, b_2, e_2
  9. Rotate(B, (((-(s - 1)) * 180))°, e_1) → B'
  10. Rotate(E, (((-(s - 1)) * 180))°, e_1) → E'
  11. Rotate(D, (((-(s - 1)) * 180))°, e_1) → D'
  12. Polygon(B', E', D') → driehoek1', d', b', e'
  13. Polygon(DD, E, B) → driehoek2, b_3, dd, e_3
  14. Segment(G, F) → g
  15. Polygon(G, F, C, E) → vierhoek3, g_1, f_1, c_2, e_4
  16. Polygon(B, A, F, G) → vierhoek4, b_4, a_2, f_2, g_2
  17. Rotate(G, (((-(s - 3)) * 180))°, f_2) → G'
  18. Rotate(F, (((-(s - 3)) * 180))°, f_2) → F'
  19. Rotate(C, (((-(s - 3)) * 180))°, f_2) → C'
  20. Rotate(E, (((-(s - 3)) * 180))°, f_2) → E'_1
  21. Polygon(G', F', C', E'_1) → vierhoek3', g', f', c', e'_1
  22. Polygon(A, F, G, DD) → vierhoek5, a_3, f_3, g_3, dd_1
  23. Polygon(FE, A, F) → driehoek3, f_4, fe, a_4
  24. Segment(A, FA) → i
  25. Rotate(FE, (((-(s - 5)) * 180))°, i) → FE'
  26. Rotate(A, (((-(s - 5)) * 180))°, i) → A'
  27. Rotate(F, (((-(s - 5)) * 180))°, i) → F'_1
  28. Polygon(B, A, FA, G) → vierhoek6, r, t, i_1, j_1
  29. Intersect(g_3, i) → H
  30. OrthogonalLine(H, g', xOyPlane) → j
  31. Line(BD, F) → n
  32. Point(n) → K
  33. CircleArc(K, C, A) → p
  34. Polygon(G, H, F) → driehoek4, f_6, g_5, h_1
  35. Intersect(f_6, Line[FE, GG]) → J
  36. OrthogonalLine(H, b) → k
  37. CircleArc(A, F, FB) → h
  38. Polygon(A, F, FA) → driehoek5, fa, a_5, f_5
  39. Rotate(A, (((-(s - 5)) * 180))°, t) → A'_1
  40. Rotate(F, (((-(s - 5)) * 180))°, t) → F'_2
  41. Rotate(FA, (((-(s - 5)) * 180))°, t) → FA'
  42. Polygon(A'_1, F'_2, FA') → driehoek5', fa', a'_1, f'_2
  43. Line(DD, GG) → l
  44. Intersect(l, i) → I
  45. Polygon(G, DD, I, FA) → vierhoek7, g_4, dd_2, i_2, fa_1
  46. Line(FB, FA) → m
  47. Intersect(m, g_4) → M
  48. Segment(M, G) → q
  49. Segment(DD, I) → k_1
  50. Segment(DD, M) → l_1
  51. Segment(B, D) → m_1
  52. Segment(D, C) → n_1
  53. Segment(G, E) → p_1
  54. Segment(A, C) → q_1
  55. Segment(G, BD) → r_1
  56. Segment(F, FA) → s_1