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梯形面积——复制

梯形面积——复制
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2019-11-06 12:53
多边形解析几何几何作图
这个范例演示了梯形面积的计算方法。核心数学概念包括梯形的性质和面积公式。通过使用GeoGebra命令如Line, Point, Polygon等，可以动态展示梯形的复制过程。适合初中及以上学生学习几何作图和面积计算。

GeoGebra 命令及参数

  1. Line(A, xAxis) → a
  2. Point(a) → D
  3. If(abs(x(H) - x(A)) < 0.2, (x(A), y(H)), H) → Pm
  4. DynamicCoordinates(H, x(Pm), y(Pm)) → B
  5. Line(B, a) → c
  6. Point(c) → C
  7. If(p ≟ true, C, D) → Putar
  8. Polygon(A, B, C, D) → poly1, a_1, b_1, c_1, d
  9. Line(A, yAxis) → b
  10. Intersect(c, b) → E
  11. If(e ≤ 1, Rotate[B, (180° * e), Putar], Rotate[B, 180°, Putar]) → B'
  12. If(e ≤ 1, Rotate[C, (180° * e), Putar], Rotate[C, 180°, Putar]) → C'
  13. If(e ≤ 1, Rotate[D, (180° * e), Putar], Rotate[D, 180°, Putar]) → D'
  14. If(e ≤ 1, Rotate[A, (180° * e), Putar], Rotate[A, 180°, Putar]) → A'
  15. If(p ≟ true, Vector[C, D], Vector[D, C]) → u
  16. Polygon(A', B', C', D') → poly1', a', b', c', d'
  17. If(e > 1, Translate[A', Vector[((e - 1) * u)]]) → A''
  18. If(e > 1, Translate[B', Vector[((e - 1) * u)]]) → B''
  19. If(e > 1, Translate[C', Vector[((e - 1) * u)]]) → C''
  20. If(e > 1, Translate[D', Vector[((e - 1) * u)]]) → D''
  21. Polygon(A'', B'', C'', D'') → poly1'', a'', b'', c'', d''
  22. Midpoint(B, C) → F
  23. Midpoint(A, D) → G
  24. Circle(F, ja) → f
  25. Intersect(f, c) → I_2, I_1
  26. Circle(I_1, ja) → k
  27. Circle(I_2, ja) → p_2
  28. Line(I_1, b) → j
  29. Line(I_2, b) → g
  30. Intersect(p_2, g, 2) → I_3
  31. Intersect(k, j, 2) → I_4
  32. Circle(C, ja) → q
  33. Line(C, b) → i
  34. Intersect(q, i, 2) → L
  35. Circle(B, ja) → r
  36. Line(B, b) → l
  37. Intersect(r, l, 2) → M
  38. Circle(G, ja) → s
  39. Intersect(s, a) → P_4, P_3
  40. Circle(P_3, ja) → t
  41. Circle(P_4, ja) → d_1
  42. Line(P_3, b) → h
  43. Line(P_4, b) → m
  44. Intersect(d_1, m, 1) → P_1
  45. Intersect(t, h, 1) → P_2
  46. Circle(D, ja) → e_1
  47. Circle(A, ja) → f_1
  48. Intersect(f_1, b, 1) → R
  49. Line(D, b) → n
  50. Intersect(e_1, n, 1) → S
  51. Circle(E, ja) → g_1
  52. Intersect(a, i) → T
  53. Intersect(g_1, c, 1) → U
  54. Intersect(f_1, a, 1) → V
  55. Midpoint(E, A) → W
  56. Circle(W, ja) → h_1
  57. Intersect(h_1, b, 2) → Z
  58. Intersect(h_1, b, 1) → A_1
  59. Circle(Z, ja) → k_1
  60. Circle(A_1, ja) → p_1
  61. Line(Z, c) → i_1
  62. Line(A_1, c) → j_1
  63. Intersect(k_1, i_1, 1) → B_1
  64. Intersect(p_1, j_1, 1) → C_1
  65. Intersect(l, i_1) → D_1
  66. Intersect(l, j_1) → E_1
  67. Intersect(a, l) → F_1
  68. Circle(D_1, ja) → q_1
  69. Circle(E_1, ja) → r_1
  70. Midpoint(F_1, B) → G_1
  71. Intersect(r, c, 1) → H_1
  72. Intersect(q_1, i_1, 1) → I_5
  73. Intersect(r_1, j_1, 1) → J_1
  74. Circle(F_1, ja) → s_1
  75. Intersect(s_1, a, 1) → K_1
  76. Intersect(r_1, j_1, 2) → I
  77. Intersect(q_1, i_1, 2) → J
  78. Intersect(s_1, a, 2) → K
  79. Intersect(r, c, 2) → N
  80. Intersect(k, j, 1) → O
  81. Intersect(q, i, 1) → P
  82. Intersect(p_2, g, 1) → Q
  83. Intersect(r, l, 1) → L_1
  84. If(p ≟ true, Vector[I_3, M], Vector[Q, L_1]) → v
  85. If(p ≟ true, Vector[I_4, L], Vector[O, P]) → w
  86. Intersect(f_1, b, 2) → M_1
  87. Intersect(d_1, m, 2) → N_1
  88. Intersect(t, h, 2) → O_1
  89. Intersect(e_1, n, 2) → Q_1
  90. If(p ≟ true, Vector[P_1, R], Vector[N_1, M_1]) → u_1
  91. If(p ≟ true, Vector[P_2, S], Vector[O_1, Q_1]) → v_1
  92. If(p ≟ true, Vector[B_1, V], Vector[C_1, V]) → w_1
  93. If(p ≟ true, Vector[C_1, U], Vector[B_1, U]) → l_1
  94. If(p ≟ true, Vector[J, K], Vector[I, K]) → m_1
  95. If(p ≟ true, Vector[I, N], Vector[J, N]) → n_1
  96. Angle(D, A, B) → α
  97. Angle(C, B, A) → β
  98. Angle(C, D, A) → γ
  99. Angle(D, C, B) → δ
  100. SelectedIndex(Bahasa) → nn
  101. If(nn ≟ 1, "Derive the formula to calculate", "Menerbit rumus untuk menghitungkan") → Tex1
  102. If(nn ≟ 1, "the area of a trapezium", "luas bentuk trapezium") → Tex2