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绝对值与倒数函数单元9

绝对值与倒数函数单元9
几何画板及绘图内容加载中，请稍等……
2016-09-07 11:07
函数解析几何微积分导数函数图像
①本范例演示绝对值函数与倒数函数的图像及其交点；②涉及核心数学概念包括函数、绝对值、倒数、解析几何、导数；③作图要点：使用GeoGebra命令Point（点）、Intersect（交点）、Vector（向量）、OrthogonalLine（垂线）；对象包括f, g, c, b_1, h_3, d, p, i, u, a_2, b_3, A, B, C, D, g_2, e, h_2, j, k_3, q, l, i_2, m_3, n, r, s, t, j_2, k_2, f_1, g_1, h_1, E, F, l_2, m_2, n_2, c_1, p_1；④适合高中数学教学与函数图像研究。

GeoGebra 命令及参数

  1. Point(b_3) → A
  2. Point(b_3) → C
  3. Point(b_3) → D
  4. Intersect(g_1, f_1, (4.000000000000211, 0.9999999999998943)) → E
  5. Intersect(g_1, f_1, (4.7823136094842975E-17, -1)) → F
  6. Point(p_1) → G
  7. Point(p_1) → H
  8. Point(p_1) → I
  9. Point(p_1) → J
  10. Point(r_1) → N
  11. Point(r_1) → O
  12. Point(r_1) → K
  13. Point(r_1) → L
  14. Point(s_1) → M
  15. Point(s_1) → P
  16. Point(s_1) → Q
  17. Point(s_1) → R
  18. Intersect(c, yAxis, 1) → S
  19. Intersect(c, xAxis, 2) → T
  20. Intersect(c, xAxis, 1) → U
  21. Point(b_1) → V
  22. Point(xAxis) → infinity_-
  23. Point(xAxis) → infinity_+
  24. Intersect(xAxis, yAxis) → origin
  25. Vector(origin, infinity_-) → domain_-
  26. Vector(origin, infinity_+) → domain_+
  27. Vector(origin, infinity_P) → range_P
  28. Point(yAxis) → infinity_N
  29. Vector(origin, infinity_N) → range_N
  30. Point(a_2) → F_1
  31. Point(g_2) → H_1
  32. Intersect(f, xAxis) → I_1
  33. Intersect(f, yAxis) → J_1
  34. Intersect(g, yAxis, (0, 6)) → K_1
  35. Intersect(g, xAxis, (-2, 0)) → L_1
  36. Intersect(h_3, xAxis, (-2, 0)) → M_1
  37. Intersect(h_3, xAxis, (2, 0)) → N_1
  38. Intersect(p, yAxis, (0, 1)) → W
  39. Intersect(u, ((-(x(xAxis) / y(xAxis))) * x) - z(xAxis) / y(xAxis), 2) → B_1
  40. Intersect(i, xAxis) → C_1
  41. Intersect(b_3, ((-(x(xAxis) / y(xAxis))) * x) - z(xAxis) / y(xAxis), 1) → D_1
  42. Intersect(e, ((-(x(xAxis) / y(xAxis))) * x) - z(xAxis) / y(xAxis), 1) → E_1
  43. OrthogonalLine(origin, xAxis) → f_2
  44. Intersect(j, ((-(x(xAxis) / y(xAxis))) * x) - z(xAxis) / y(xAxis), 1) → G_1
  45. Intersect(j, ((-(x(xAxis) / y(xAxis))) * x) - z(xAxis) / y(xAxis), 2) → O_1
  46. Intersect(q, k_3, (2.666666666969492, 0.9999999990915249)) → P_1
  47. Intersect(q, k_3, (2.000000000002484, -1.0000000000074518)) → Q_1
  48. Intersect(l, i_2) → R_1
  49. Intersect(s, r, 1) → S_1
  50. Intersect(s, r, 2) → T_1
  51. Intersect(s, r, 2) → U_1
  52. Intersect(s, r, 2) → V_1
  53. Intersect(s, r, 2) → W_1
  54. Intersect(s, r, 2) → Z_1
  55. Point(s) → A_2
  56. Intersect(g_1, f_1, (4, 1)) → B_2
  57. Intersect(g_1, f_1, (0, -1)) → C_2
  58. Intersect(p_1, c_1, 1) → D_2
  59. Intersect(p_1, c_1, 4) → E_2
  60. Intersect(p_1, c_1, 2) → F_2
  61. Intersect(p_1, c_1, 3) → G_2
  62. Intersect(c_1, yAxis, 1) → H_2
  63. Intersect(p_1, yAxis, (0, -0.25)) → I_2
  64. Intersect(q_1, k_1, (-2, 1)) → J_2
  65. Intersect(q_1, k_1, (-4, -1)) → K_2
  66. Intersect(s_2, t_2) → L_2
  67. Intersect(r_1, d_1, 2) → M_2
  68. Intersect(r_1, d_1, 3) → N_2
  69. Intersect(r_1, d_1, 4) → O_2
  70. Intersect(r_1, d_1, 1) → P_2
  71. Intersect(r_1, l_1, (-3, 0.5)) → Q_2
  72. Intersect(d_1, l_1, 1) → R_2
  73. Intersect(d_1, n_1, 1) → S_2
  74. Intersect(d_1, m_1, 1) → T_2
  75. Intersect(s_1, e_1, 2) → U_2
  76. Intersect(s_1, e_1, 1) → V_2
  77. Intersect(s_1, e_1, 3) → W_2
  78. Intersect(s_1, e_1, 4) → Z_2
  79. Intersect(f_3, i_3, (0, 0)) → E_3
  80. Intersect(f_3, j_3, (0, 0)) → F_3
  81. Intersect(q_3, c_3, 3) → D_3
  82. Intersect(q_3, c_3, 1) → H_3
  83. Intersect(c_3, r_3, 1) → I_3
  84. Intersect(q_3, r_3, (-1.1, 0.5882352941176471)) → J_3
  85. Intersect(c_3, s_3, 1) → K_3
  86. Intersect(c_3, s_3, 2) → L_3
  87. Intersect(c_3, t_3, 2) → M_3
  88. Intersect(c_3, s_3, 2) → N_3
  89. Point(p) → Q_3
  90. Point(p) → R_3
  91. Intersect(c_3, d_3, 2) → Z
  92. Intersect(c_3, d_3, 1) → A_1
  93. OrthogonalLine(Z, a_3) → f_4
  94. OrthogonalLine(A_1, a_3) → g_4