Logo Manga 1

Logo Manga 1
几何画板及绘图内容加载中,请稍等……
2020-12-15 05:46
该范例演示了一个Logo Manga 1的图形。涉及的核心数学概念包括向量、椭圆和函数图像。通过使用GeoGebra命令如Vector、Ellipse、Function Graph等进行构造。适合用于高中数学教学,特别是解析几何和函数图像的教学。

GeoGebra 命令及参数

  1. Vector(A, B) → u
  2. OrthogonalVector(u) → v
  3. LineBisector(A_1, A) → l
  4. Line(A, B) → s
  5. OrthogonalLine(D, s) → i
  6. OrthogonalLine(A, s) → b
  7. OrthogonalLine(F, b) → f
  8. Mirror(f, l) → f'
  9. Intersect(i, f') → E
  10. Mirror(f, l) → f'_1
  11. LineBisector(A, B) → m
  12. OrthogonalLine(B, u, xOyPlane) → g
  13. Mirror(i, m) → i'
  14. Intersect(m, f) → G
  15. Intersect(i', f') → P
  16. OrthogonalLine(A_1, b) → r
  17. Intersect(m, l) → K
  18. Intersect(i, l) → J
  19. Intersect(g, r) → C
  20. Mirror(F, l) → F'
  21. Polygon(A_1, C, B, A) → c4, a_1, c_3, b_2, a_2
  22. Mirror(E, l) → E'
  23. OrthogonalLine(H, b) → j
  24. LineBisector(F, H) → r_2
  25. Circle(N, O) → c
  26. Line(E, B) → h
  27. CircumcircleArc(R, M, Q) → d
  28. Line(R, h) → k
  29. Intersect(c, k) → S, T
  30. Segment(R, S) → p
  31. Line(Z, l) → t
  32. Line(W, l) → a
  33. Intersect(c, t) → B_1, C_1
  34. Intersect(c, a) → D_1, E_1
  35. Line(F_1, l) → e
  36. Circle(G_1, H_1) → c_1
  37. OrthogonalLine(R, t) → f_1
  38. Intersect(a, f_1) → I_1
  39. Intersect(e, f_1) → J_1
  40. Semicircle(J_1, I_1) → d_1
  41. Polygon(J_1, I_1, W, F_1) → q1, j_1, i_1, w, g_1
  42. Semicircle(J_1, I_1) → h_1
  43. Polygon(B_1, C_1, E_1, D_1) → q2, b_1, k_1, l_1, m_1
  44. CircumcircleArc(N_1, M_1, L_1) → p_1
  45. CircumcircleArc(P_1, O_1, N_1) → q_1
  46. Segment(L_1, K_1) → n_1
  47. Segment(P_1, Q_1) → r_1
  48. LineBisector(K_1, Q_1) → s_1
  49. Intersect(s_1, h) → V_1
  50. CircleArc(V_1, K_1, Q_1) → t_1
  51. LineBisector(Q_1, G) → f_2
  52. Intersect(f_2, m) → W_1
  53. CircleArc(W_1, Q_1, G) → c_2
  54. CircleArc(K, T_1, R_1) → d_2
  55. LineBisector(U_1, S_1) → g_2
  56. Intersect(g_2, e) → Z_1
  57. CircleArc(Z_1, U_1, S_1) → h_2
  58. Mirror(O, N) → O'
  59. Segment(O', R_1) → i_2
  60. Segment(A_2, B_2) → j_2
  61. Mirror(D_2, m) → E_2
  62. Ellipse(E_2, D_2, C_2) → k_2
  63. CircumcircleArc(Q, V, U) → q
  64. Line(U, k) → n
  65. Intersect(c, n) → L_2, M_2
  66. Segment(U, L_2) → l_2
  67. Mirror(d_1, m) → p_2
  68. Mirror(h_1, m) → q_2
  69. Mirror(J_1, m) → N_2
  70. Mirror(I_1, m) → O_2
  71. Mirror(W, m) → W'
  72. Mirror(F_1, m) → P_2
  73. Polygon(N_2, O_2, W', P_2) → q1', n_2, o_2, w', m_2
  74. Mirror(d_1, m) → s_2
  75. Mirror(Q, m) → Q'
  76. Mirror(V, m) → V'
  77. Mirror(U, m) → U'
  78. CircumcircleArc(Q', V', U') → q'
  79. Mirror(R, m) → R'
  80. Mirror(M, m) → M'
  81. Mirror(Q, m) → Q'_{1}
  82. CircumcircleArc(R', M', Q'_{1}) → d'
  83. Mirror(R, m) → R'_{1}
  84. Mirror(S, m) → S'
  85. Segment(R'_{1}, S') → p'
  86. Mirror(U, m) → U'_{1}
  87. Mirror(L_2, m) → R_2
  88. Segment(U'_{1}, R_2) → t_2
  89. Mirror(c_1, m) → d_3
  90. Mirror(c_2, m) → e_3
  91. Mirror(d_2, m) → f_3
  92. Mirror(t_1, s_1) → g_3
  93. Mirror(P_1, m) → S_2
  94. Mirror(O_1, m) → T_2
  95. Mirror(N_1, m) → U_2
  96. CircumcircleArc(S_2, T_2, U_2) → h_3
  97. Mirror(N_1, m) → V_2
  98. Mirror(M_1, m) → W_2
  99. Mirror(L_1, m) → Z_2
  100. CircumcircleArc(V_2, W_2, Z_2) → k_3
  101. Mirror(g_3, m) → p_3
  102. Mirror(L_1, m) → A_3
  103. Mirror(K_1, m) → B_3
  104. Segment(A_3, B_3) → i_3
  105. Mirror(P_1, m) → C_3
  106. Mirror(Q_1, m) → D_3
  107. Segment(C_3, D_3) → j_3
  108. Mirror(A_2, m) → E_3
  109. Mirror(B_2, m) → F_3
  110. Segment(E_3, F_3) → l_3
  111. Mirror(h_2, m) → q_3
  112. Segment(J_2, K_2) → m_3
  113. Segment(G_3, H_3) → n_3
  114. LineBisector(I_3, Q_2) → r_3
  115. Intersect(r_3, o_2) → J_3
  116. Intersect(o_2, q1') → K_3, L_3
  117. CircleArc(L_3, Q_2, I_3) → s_3
  118. LineBisector(F_2, G_2) → t_3
  119. Intersect(t_3, o_2) → M_3
  120. CircleArc(M_3, G_2, F_2) → c_4
  121. LineBisector(H_2, I_2) → b_3
  122. Intersect(b_3, o_2) → N_3
  123. CircleArc(N_3, I_2, H_2) → d_4
  124. CircleArc(N, C_1, B_1) → e_4

AI 绘图提示语参考

画一个包含向量、椭圆和函数图像的Logo Manga 1图形,首先绘制两个正交向量,然后利用这些向量生成椭圆和直线,接着通过镜像和交点操作构建复杂的几何形状,最后添加函数图像和圆弧,完成一个结合了坐标几何和函数图形的高中数学教育示例。
以上提示语为根据原始绘图命令整理而来,仅供参考。