单作用冲压机机构

单作用冲压机机构
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2020-04-02 01:02
该范例演示了单作用冲压机的工作原理。涉及的核心数学概念包括圆、旋转、交点、直线、角、线段等。通过使用GeoGebra命令如Circle、Rotate、Intersect、Line等进行几何作图。适合高中数学教学,特别是解析几何和几何作图的教学。

GeoGebra 命令及参数

  1. Circle(A, r1) → c
  2. Point(c) → B
  3. Rotate(B, ang, A) → B'
  4. Circle(B', r2) → d
  5. Point(d) → C
  6. Circle(D, l3) → e
  7. Circle(C, l4) → f
  8. Intersect(f, e) → E, F, ,
  9. Line(E, D) → n_1
  10. Circle(D, r3) → p_1
  11. Intersect(p_1, n_1) → B_1, C1
  12. Rotate(C1, ang1, D) → C1'
  13. Point(p_1) → B2
  14. Angle(B, A, B') → α
  15. Segment(D, E) → g
  16. Point(d) → G
  17. Circle(G, l5) → h
  18. Point(h) → H
  19. Circle(H, l6) → k
  20. Intersect(k, ax) → J, K
  21. Segment(H, K) → i
  22. Circle(K, r0) → p
  23. Circle(H, r0) → q
  24. Circle(E, r0) → r
  25. Circle(D, r0) → s
  26. Point(q) → L
  27. Point(p) → M
  28. Segment(L, M) → j
  29. Point(q) → N
  30. Point(p) → O
  31. Segment(N, O) → l
  32. OrthogonalLine(E, g) → m
  33. OrthogonalLine(D, g) → n
  34. Intersect(r, m) → P, Q
  35. Intersect(s, n) → R, S
  36. Segment(P, R) → t
  37. Segment(Q, S) → a
  38. Circle(H, r00) → c_1
  39. Circle(E, r00) → d_1
  40. Circle(B', r000) → e_1
  41. Point(c_1) → T
  42. Tangent(T, e_1) → b, f_1
  43. Intersect(e_1, f_1) → U
  44. Segment(U, T) → g_1
  45. Point(c_1) → V
  46. Tangent(V, d_1) → h_1, i_1
  47. Intersect(d_1, h_1) → W
  48. Segment(W, V) → j_1
  49. Point(e_1) → Z
  50. Tangent(Z, d_1) → k_1, l_1
  51. Intersect(d_1, l_1) → A_1
  52. Segment(Z, A_1) → m_1
  53. Circle(AA, r4) → s_1
  54. Circle(C1', r3) → r_1
  55. Intersect(r_1, s_1) → D_1, E_1, ,
  56. Circle(D_1, l8) → c_2
  57. Circle(AA, l9) → d_2
  58. Intersect(d_2, c_2) → F1, G_1, ,
  59. Segment(AA, F1) → a_1
  60. Line(E, B2) → g_2
  61. Segment(D_1, AA) → b_1
  62. Segment(F1, D_1) → f_2
  63. Angle(C1, D, C1') → β
  64. Segment(D, C1') → q_1
  65. Segment(C1', D_1) → t_1
  66. Circle(F1, l11) → e_2
  67. Point(xAxis) → C_1
  68. Line(C_1, F_1) → h_2
  69. Intersect(e_2, h_2) → H_1, I_1
  70. Segment(F1, H_1) → i_2
  71. Circle(F1, r0) → k_2
  72. Circle(AA, r0) → p_2
  73. Circle(D_1, r0) → q_2
  74. Circle(H_1, r0) → r_2
  75. Circle(C1', r0) → s_2
  76. Point(r_2) → J_1
  77. Tangent(J_1, k_2) → j_2, l_2
  78. Intersect(k_2, l_2) → K_1
  79. Segment(K_1, J_1) → m_2
  80. Tangent(K_1, q_2) → n_2, t_2
  81. Intersect(q_2, t_2) → L_1
  82. Segment(L_1, K_1) → a_2
  83. Point(k_2) → M_1
  84. Tangent(M_1, p_2) → b_2, f_3
  85. Intersect(p_2, b_2) → N_1
  86. Segment(M_1, N_1) → g_3
  87. Point(p_2) → O_1
  88. Tangent(O_1, q_2) → h_3, i_3
  89. Intersect(q_2, h_3) → P_1
  90. Segment(P_1, O_1) → j_3
  91. Point(r_2) → Q_1
  92. Tangent(Q_1, k_2) → k_3, l_3
  93. Intersect(k_2, k_3) → R_1
  94. Segment(R_1, Q_1) → m_3
  95. Point(s_2) → S_1
  96. Tangent(S_1, s) → n_3, p_3
  97. Intersect(s, n_3) → T_1
  98. Segment(S_1, T_1) → q_3
  99. Point(s_2) → U_1
  100. Tangent(U_1, s) → r_3, s_3
  101. Intersect(s, s_3) → V_1
  102. Segment(U_1, V_1) → t_3
  103. Tangent(L_1, s_2) → a_3, b_3
  104. Intersect(s_2, b_3) → W_1
  105. Segment(W_1, L_1) → c_3
  106. Point(q_2) → Z_1
  107. Tangent(Z_1, s_2) → d_3, e_3
  108. Intersect(s_2, d_3) → A_2
  109. Segment(A_2, Z_1) → f_4

AI 绘图提示语参考

绘制一个单动冲压机机构示意图。先画一个以固定点为中心的大圆,在其上取一点,将该点绕中心旋转一个角度得到新点。以新点为圆心画第二个圆,并在其上取一点。再以两个固定点为圆心分别画圆,求两圆交点,连接其中一个交点与固定点形成线段。以固定点为圆心画小圆,与上述线段相交,取交点并旋转。接着构造多个辅助圆和交点,形成连杆机构。最后添加若干小圆和切线,以及垂线,构成完整的冲压机运动简图。
以上提示语为根据原始绘图命令整理而来,仅供参考。