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线性方程组可视化 by Ana D Todorova

线性方程组可视化 by Ana D Todorova
几何画板及绘图内容加载中，请稍等……
2012-05-07 20:21
向量解析几何几何作图函数图像
①本范例通过动态演示线性方程组的解集，直观展示方程组的几何意义；②涉及核心数学概念包括线性方程、向量、解析几何、几何作图；③构造过程中运用了Intersect（交点）、Line（直线）、Vector（向量）、Mirror（镜像）、Segment（线段）等GeoGebra命令；④适合高中数学教学，用于帮助学生理解线性方程组的解法及几何表示。

GeoGebra 命令及参数

  1. Intersect(xAxis, yAxis) → A
  2. Line(A, K) → c
  3. Vector(A, B) → u
  4. Mirror(A, B) → A'_1
  5. Mirror(A, B) → A'_2
  6. Vector(A, A'_2) → v
  7. Mirror(B, A'_2) → B'_1
  8. Vector(A, B'_1) → w
  9. Mirror(B, A) → B'_2
  10. Mirror(A, B'_2) → A'_3
  11. Vector(A, B'_2) → z
  12. Vector(A, A'_3) → d
  13. Vector(A, C) → e
  14. Mirror(A, C) → A'_4
  15. Mirror(C, A'_4) → C'_1
  16. Vector(A, A'_4) → f
  17. Vector(A, C'_1) → g
  18. Mirror(C, A) → C'_2
  19. Mirror(A, C'_2) → A'_5
  20. Vector(A, C'_2) → h
  21. Vector(A, A'_5) → i
  22. Line(C, u) → j
  23. Line(C, u) → k
  24. Line(C, u) → l
  25. Line(B, e) → m
  26. Intersect(j, m) → D
  27. Mirror(A, D) → A'_6
  28. Vector(A, D) → n
  29. Segment(B, D) → p
  30. Segment(C, D) → q
  31. Vector(A, A'_6) → r
  32. Segment(A'_2, A'_6) → s
  33. Segment(A'_4, A'_6) → t
  34. Mirror(D, A'_6) → D'_1
  35. Vector(A, D'_1) → u_1
  36. Segment(C'_1, D'_1) → a_1
  37. Segment(D'_1, B'_1) → b_1
  38. Mirror(D, A) → D'_2
  39. Mirror(A, D'_2) → A'
  40. Vector(A, D'_2) → v_1
  41. Segment(C'_2, D'_2) → c_1
  42. Segment(D'_2, B'_2) → d_1
  43. Vector(A, A') → w_1
  44. Segment(A'_3, A') → e_1
  45. Segment(A'_5, A') → f_1
  46. Vector(A, E) → z_1
  47. Mirror(B, D) → B'_3
  48. Vector(A, B'_3) → g_1
  49. Segment(B, B'_3) → h_1
  50. Segment(B'_3, A'_4) → i_1
  51. Mirror(D, B'_3) → D'_3
  52. Segment(C'_1, D'_3) → j_1
  53. Segment(B, D'_3) → k_1
  54. Vector(A, D'_3) → l_1
  55. Vector(A, C) → m_1
  56. Vector(A, B) → n_1
  57. Mirror(D, B) → D'_4
  58. Vector(A, D'_4) → p_1
  59. Segment(C'_2, D'_4) → q_1
  60. Segment(D'_4, B) → r_1
  61. Mirror(B, D'_4) → B'
  62. Segment(A'_5, B') → s_1
  63. Segment(B', B) → t_1
  64. Vector(A, B') → u_2
  65. Mirror(C, D) → C'_3
  66. Vector(A, C'_3) → v_2
  67. Segment(C, C'_3) → a_2
  68. Segment(C'_3, A'_2) → b_2
  69. Mirror(C'_3, A'_6) → C''_1
  70. Vector(A, C''_1) → w_2
  71. Segment(A'_2, C''_1) → c_2
  72. Segment(C''_1, C'_1) → d_2
  73. Mirror(C'_2, D'_4) → F
  74. Segment(C'_2, F) → e_2
  75. Segment(A'_2, F) → f_2
  76. Vector(A, F) → z_2
  77. Mirror(A'_5, B') → G
  78. Vector(A, G) → g_2
  79. Segment(A'_5, G) → h_2
  80. Segment(G, A'_2) → i_2
  81. Mirror(B', G) → B''
  82. Segment(A'_5, B'') → j_2
  83. Segment(B'', B'_1) → k_2
  84. Vector(A, B'') → l_2
  85. Mirror(D'_4, F) → D''
  86. Vector(A, D'') → m_2
  87. Segment(C'_2, D'') → n_2
  88. Segment(D'', B'_1) → p_2
  89. Mirror(D, C'_3) → D'
  90. Segment(C, D') → q_2
  91. Segment(B'_1, D') → r_2
  92. Vector(A, D') → s_2
  93. Mirror(B'_3, A'_6) → H
  94. Vector(A, H) → t_2
  95. Segment(A'_4, H) → a_3
  96. Segment(B'_1, H) → b_3
  97. Vector(A, B'_1) → u_3
  98. Vector(A, A'_2) → v_3
  99. Vector(A, B'_2) → w_3
  100. Vector(A, A'_3) → z_3
  101. Vector(A, A'_5) → c_3
  102. Vector(A, C'_2) → d_3
  103. Vector(A, A'_4) → e_3
  104. Vector(A, C'_1) → f_3
  105. Mirror(D'_4, A) → I
  106. Vector(A, I) → g_3
  107. Segment(C, I) → h_3
  108. Segment(B'_2, I) → i_3
  109. Mirror(I, E) → I'
  110. Segment(I', C'_1) → j_3
  111. Segment(I', B'_2) → k_3
  112. Vector(A, I') → l_3
  113. Mirror(B'_2, D'_2) → J
  114. Vector(A, J) → m_3
  115. Segment(B'_2, J) → n_3
  116. Segment(J, A'_5) → p_3
  117. Mirror(C'_2, D'_2) → L
  118. Segment(A'_3, L) → q_3
  119. Segment(L, C'_2) → r_3
  120. Vector(A, L) → s_3
  121. Mirror(C, I) → C'
  122. Vector(A, C') → t_3
  123. Segment(C, C') → a_4
  124. Segment(A'_3, C') → b_4
  125. Mirror(A'_3, C') → M
  126. Segment(A'_3, M) → c_4
  127. Segment(M, A'_4) → d_4
  128. Vector(A, M) → u_4
  129. Mirror(C', M) → C''
  130. Vector(A, C'') → v_4
  131. Segment(C'_1, C'') → e_4
  132. Segment(C'', A'_3) → f_4
  133. Segment(B'_2, E) → g_4
  134. Segment(E, A'_4) → h_4
  135. Vector(A, E) → w_4