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分数、小数与百分数转换演示

分数、小数与百分数转换演示
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2017-09-27 20:56
解析几何几何作图滑块动画
①本范例通过交互式图形演示分数、小数与百分数之间的转换关系；②涉及核心数学概念包括分数的基本性质、小数表示法、百分数意义及它们间的等价转换；③作图要点运用了Point（点）、Segment（线段）、OrthogonalLine（垂线）、Line（直线）、Intersect（交点）、Polygon（多边形）、RotateText（旋转文本）等GeoGebra命令与对象；④适合初中及以上数学学习者，用于直观理解数值转换和几何表示。

GeoGebra 命令及参数

  1. Point(Circle[A, 10]) → B
  2. Segment(A, B) → a
  3. Point(Circle[A, 1]) → C
  4. Segment(A, C) → b
  5. Point(Circle[C, 1]) → D
  6. Segment(C, D) → c
  7. Point(Circle[D, 1]) → E
  8. Segment(D, E) → d
  9. Point(Circle[E, 1]) → F
  10. Segment(E, F) → e
  11. Point(Circle[F, 1]) → G
  12. Segment(F, G) → f
  13. Point(Circle[G, 1]) → H
  14. Segment(G, H) → g
  15. Point(Circle[H, 1]) → I
  16. Segment(H, I) → h
  17. Point(Circle[I, 1]) → J
  18. Segment(I, J) → i
  19. Point(Circle[J, 1]) → K
  20. Segment(J, K) → j
  21. OrthogonalLine(A, a) → k
  22. Point(Circle[A, 1]) → L
  23. Segment(A, L) → l
  24. Point(Circle[L, 1]) → M
  25. Segment(L, M) → m
  26. Point(Circle[M, 1]) → N
  27. Segment(M, N) → n
  28. Point(Circle[N, 1]) → O
  29. Segment(N, O) → p
  30. Point(Circle[O, 1]) → P
  31. Segment(O, P) → q
  32. Point(Circle[P, 1]) → Q
  33. Segment(P, Q) → r
  34. Point(Circle[Q, 1]) → R
  35. Segment(Q, R) → s
  36. Point(Circle[R, 1]) → S
  37. Segment(R, S) → t
  38. Point(Circle[S, 1]) → T
  39. Segment(S, T) → a_1
  40. Point(Circle[T, 1]) → U
  41. Segment(T, U) → b_1
  42. Line(U, a) → c_1
  43. Line(B, k) → d_1
  44. Intersect(c_1, d_1) → V
  45. Line(T, c_1) → e_1
  46. Line(S, e_1) → f_1
  47. Line(R, f_1) → g_1
  48. Line(Q, g_1) → h_1
  49. Line(P, h_1) → i_1
  50. Line(O, i_1) → j_1
  51. Line(N, j_1) → k_1
  52. Line(M, k_1) → l_1
  53. Line(L, l_1) → m_1
  54. Intersect(d_1, e_1) → W
  55. Intersect(d_1, f_1) → Z
  56. Intersect(d_1, g_1) → A_1
  57. Intersect(d_1, h_1) → B_1
  58. Intersect(d_1, i_1) → C_1
  59. Intersect(d_1, j_1) → D_1
  60. Intersect(d_1, k_1) → E_1
  61. Intersect(d_1, l_1) → F_1
  62. Intersect(d_1, m_1) → G_1
  63. Segment(V, H_1) → n_1
  64. Segment(U, V) → p_1
  65. Segment(T, W) → q_1
  66. Segment(S, Z) → r_1
  67. Segment(R, A_1) → s_1
  68. Segment(Q, B_1) → t_1
  69. Segment(P, C_1) → a_2
  70. OrthogonalLine(A, a) → b_2
  71. Segment(O, D_1) → c_2
  72. Segment(N, E_1) → d_2
  73. Segment(M, F_1) → e_2
  74. Segment(L, G_1) → f_2
  75. Point(Circle[U, 1]) → I_1
  76. Segment(U, I_1) → g_2
  77. Point(Circle[I_1, 1]) → J_1
  78. Segment(I_1, J_1) → h_2
  79. Point(Circle[J_1, 1]) → K_1
  80. Segment(J_1, K_1) → i_2
  81. Point(Circle[K_1, 1]) → L_1
  82. Segment(K_1, L_1) → j_2
  83. Point(Circle[L_1, 1]) → M_1
  84. Segment(L_1, M_1) → k_2
  85. Point(Circle[M_1, 1]) → N_1
  86. Segment(M_1, N_1) → l_2
  87. Point(Circle[N_1, 1]) → O_1
  88. Segment(N_1, O_1) → m_2
  89. Point(Circle[O_1, 1]) → P_1
  90. Segment(O_1, P_1) → n_2
  91. Point(Circle[P_1, 1]) → Q_1
  92. Segment(P_1, Q_1) → p_2
  93. Segment(C, I_1) → q_2
  94. Segment(J_1, D) → r_2
  95. Segment(K_1, E) → s_2
  96. Segment(L_1, F) → t_2
  97. Segment(M_1, G) → a_3
  98. Segment(N_1, H) → b_3
  99. Segment(O_1, I) → c_3
  100. Segment(P_1, J) → d_3
  101. Segment(Q_1, K) → e_3
  102. Segment(A, U) → f_3
  103. Point(Circle[A, Base]) → Base_1
  104. Segment(A, Base_1) → g_3
  105. Point(Circle[A, Height]) → Height_1
  106. Segment(A, Height_1) → h_3
  107. Line(Height_1, g_3) → i_3
  108. Line(Base_1, h_3) → j_3
  109. Intersect(i_3, j_3) → T_1
  110. Segment(Height_1, T_1) → k_3
  111. Segment(T_1, Base_1) → l_3
  112. Polygon(Height_1, T_1, Base_1, A) → poly1, s_3, t_3, r_3, a_4
  113. Intersect(s_1, f_3) → R_1
  114. Intersect(r_1, f_3) → S_1
  115. Intersect(q_1, f_3) → U_1
  116. RotateText(text11, 1.5707963267948966) → text12