积极 AI Logo 积极 AI

海星

海星
几何画板及绘图内容加载中，请稍等……
2018-06-17 23:11
测试改名0圆几何作图
①本范例演示了海星形状的几何构造过程；②涉及核心数学概念包括等腰三角形、割线、条件概率、随机实验和众数；③作图要点提炼自构造摘要，使用了点、交点、旋转、圆、线段等 GeoGebra 命令；④适合高中数学教学，用于展示几何作图与概率统计的结合应用。

GeoGebra 命令及参数

  1. Point(yAxis) → A
  2. Intersect(xAxis, yAxis) → B
  3. Rotate(A, 72°, B) → A'
  4. Rotate(A', 72°, B) → A''
  5. Rotate(A'', 72°, B) → A'''
  6. Rotate(A''', 72°, B) → C
  7. Circle(B, 0.5) → c
  8. Circle(B, 1) → d
  9. Circle(B, 1.5) → e
  10. Circle(B, 2) → f
  11. Circle(B, 2.5) → g
  12. Circle(B, 3) → h
  13. Circle(B, 3.5) → k
  14. Circle(B, 4) → p
  15. Circle(B, 4.5) → q
  16. Circle(B, 5) → r
  17. Segment(B, A') → i
  18. Segment(B, A) → j
  19. Segment(B, C) → l
  20. Segment(B, A''') → m
  21. Segment(B, A'') → n
  22. Intersect(d, l, 1) → D
  23. Intersect(c, l, 1) → E
  24. Intersect(c, l, 1) → F
  25. Intersect(e, l, 1) → G
  26. Intersect(f, l, 1) → H
  27. Intersect(g, l, 1) → I
  28. Intersect(h, l, 1) → J
  29. Intersect(k, l, 1) → K
  30. Intersect(p, l) → L,
  31. Intersect(q, l, 1) → M
  32. Intersect(q, l, 1) → N
  33. Intersect(c, j, 1) → O
  34. Intersect(d, j, 1) → P
  35. Intersect(e, j, 1) → Q
  36. Intersect(q, j, 1) → R
  37. Intersect(p, j, 1) → S
  38. Intersect(k, j, 1) → T
  39. Intersect(h, j, 1) → U
  40. Intersect(g, j, 1) → V
  41. Intersect(f, j, 1) → W
  42. Intersect(q, i, 1) → Z
  43. Intersect(p, i, 1) → A_1
  44. Intersect(k, i, 1) → B_1
  45. Intersect(h, i, 1) → C_1
  46. Intersect(g, i, 1) → D_1
  47. Intersect(f, i, 1) → E_1
  48. Intersect(e, i, 1) → F_1
  49. Intersect(d, i, 1) → G_1
  50. Intersect(c, i, 1) → H_1
  51. Intersect(q, n, 1) → I_1
  52. Intersect(p, n, 1) → J_1
  53. Intersect(k, n, 1) → K_1
  54. Intersect(h, n, 1) → L_1
  55. Intersect(g, n, 1) → M_1
  56. Intersect(f, n, 1) → N_1
  57. Intersect(e, n, 1) → O_1
  58. Intersect(d, n, 1) → P_1
  59. Intersect(c, n, 1) → Q_1
  60. Intersect(c, m, 1) → R_1
  61. Intersect(d, m, 1) → S_1
  62. Intersect(e, m) → T_1,
  63. Intersect(f, m, 1) → U_1
  64. Intersect(g, m) → V_1,
  65. Intersect(h, m, 1) → W_1
  66. Intersect(k, m, 1) → Z_1
  67. Intersect(p, m, 1) → A_2
  68. Intersect(q, m, 1) → B_2
  69. Segment(A_1, O) → t
  70. Segment(Z, A_1) → s
  71. Segment(O, Z) → a
  72. Segment(A_1, P) → b
  73. Segment(B_1, Q) → f_1
  74. Segment(C_1, W) → g_1
  75. Segment(D_1, E_1) → h_1
  76. Segment(V, D_1) → i_1
  77. Segment(E_1, U) → j_1
  78. Segment(F_1, T) → k_1
  79. Segment(G_1, S) → l_1
  80. Segment(H_1, R) → m_1
  81. Segment(O, M) → n_1
  82. Segment(P, L) → p_1
  83. Segment(Q, K) → q_1
  84. Segment(W, J) → r_1
  85. Segment(V, I) → s_1
  86. Segment(U, H) → t_1
  87. Segment(T, G) → a_1
  88. Segment(S, D) → b_1
  89. Segment(R, E) → c_1
  90. Segment(Z, Q_1) → d_1
  91. Segment(B_1, A_1) → e_1
  92. Segment(A_1, P_1) → f_2
  93. Segment(B_1, O_1) → g_2
  94. Segment(C_1, N_1) → h_2
  95. Segment(D_1, M_1) → i_2
  96. Segment(E_1, L_1) → j_2
  97. Segment(F_1, K_1) → k_2
  98. Segment(G_1, J_1) → l_2
  99. Segment(H_1, I_1) → m_2
  100. Segment(I_1, R_1) → n_2
  101. Segment(J_1, S_1) → p_2
  102. Segment(K_1, T_1) → q_2
  103. Segment(L_1, U_1) → r_2
  104. Segment(M_1, V_1) → s_2
  105. Segment(N_1, W_1) → t_2
  106. Segment(O_1, Z_1) → a_2
  107. Segment(P_1, A_2) → b_2
  108. Segment(B, Q_1) → c_2
  109. Segment(Q_1, B_2) → d_2
  110. Segment(B_2, E) → e_2
  111. Segment(A_2, D) → f_3
  112. Segment(Z_1, G) → g_3
  113. Segment(W_1, H) → h_3
  114. Segment(V_1, I) → i_3
  115. Segment(U_1, J) → j_3
  116. Segment(T_1, K) → k_3
  117. Segment(S_1, L) → l_3
  118. Segment(R_1, M) → m_3

AI 绘图提示语参考

画一个星鱼形状，中心点为坐标系原点，先画出两条坐标轴并找到它们的交点。以交点为中心，分别绘制半径为0.5到5的同心圆。从原点出发，将点顺时针旋转72度得到新点，依次旋转五次。连接原点与每次旋转后的点，形成五条直线。在每条直线上，分别与半径为1和2的圆相交，得到多个交点。最后连接这些交点，形成星鱼的边缘。
以上提示语为根据原始绘图命令整理而来，仅供参考。