圆的各部分

圆的各部分
几何画板及绘图内容加载中,请稍等……
2012-03-03 22:30
该范例用于展示圆的各种组成部分,包括弦、直径、半径、圆心等。涉及的核心数学概念有圆的基本性质和几何作图。通过使用GeoGebra命令如Circle、Point、Segment、Midpoint等,可以动态展示圆的构造过程。适合用于课堂教学或学生个人探索。

GeoGebra 命令及参数

  1. Circle(A, C) → circle
  2. Point(circle) → U
  3. Point(circle) → T
  4. CircleArc(A, T, U) → d
  5. Segment(T, U) → segCHORD
  6. Midpoint(segCHORD) → Z
  7. OrthogonalLine(Z, segCHORD) → d_2
  8. Point(circle) → D
  9. Segment(A, D) → RADIUS
  10. Point(circle) → E
  11. Ray(E, A) → a
  12. Intersect(circle, a) → F, G
  13. Segment(E, G) → DIAMETER
  14. Circle(A, E) → circumference
  15. Point(circle) → H
  16. Point(circle) → I
  17. CircleSector(A, H, I) → sector
  18. Point(circle) → J
  19. Ray(J, A) → b
  20. Intersect(circle, b) → K, L
  21. Segment(J, L) → semiCIRCLEdia
  22. Semicircle(J, L) → semicircle
  23. Point(circle) → M
  24. Segment(A, M) → quadR_1
  25. OrthogonalLine(A, quadR_1) → e
  26. Intersect(circle, e) → N, O
  27. Segment(O, A) → quadR_2
  28. CircleSector(A, M, O) → quadrant
  29. Angle(M, A, O) → α
  30. Point(circle) → P
  31. Point(circle) → Q
  32. CircleArc(A, P, Q) → arc
  33. Point(circle) → R
  34. Point(circle) → S
  35. Segment(R, S) → CHORD
  36. Tangent(tangentPOINT, circle) → tangent, g
  37. Ray(Z, A) → c
  38. Intersect(d, d_2) → A_2,
  39. Midpoint(A_2, U) → A_1
  40. Midpoint(A_2, T) → B_1
  41. Midpoint(T, B_1) → C_1
  42. Midpoint(B_1, A_2) → D_1
  43. Midpoint(A_2, A_1) → E_1
  44. Midpoint(A_1, U) → F_1
  45. Midpoint(U, F_1) → G_1
  46. Midpoint(F_1, A_1) → H_1
  47. Midpoint(A_1, E_1) → I_1
  48. Midpoint(E_1, A_2) → J_1
  49. Midpoint(A_2, D_1) → K_1
  50. Midpoint(D_1, B_1) → L_1
  51. Midpoint(B_1, C_1) → M_1
  52. Midpoint(C_1, T) → N_1
  53. Ray(Z, N_1) → f
  54. Ray(Z, C_1) → h
  55. Ray(Z, M_1) → i
  56. Ray(Z, B_1) → j
  57. Ray(Z, L_1) → k
  58. Ray(Z, D_1) → l
  59. Ray(Z, K_1) → m
  60. Ray(Z, J_1) → n
  61. Ray(Z, E_1) → p
  62. Ray(Z, I_1) → q
  63. Ray(Z, A_1) → r
  64. Ray(Z, H_1) → s
  65. Ray(Z, F_1) → t
  66. Ray(Z, G_1) → a_1
  67. Midpoint(T, N_1) → O_1
  68. Midpoint(N_1, C_1) → P_1
  69. Midpoint(U, G_1) → Q_1
  70. Midpoint(G_1, F_1) → R_1
  71. Ray(Z, O_1) → b_1
  72. Ray(Z, P_1) → c_1
  73. Ray(Z, R_1) → d_1
  74. Ray(Z, Q_1) → e_1
  75. Intersect(d, b_1) → S_1,
  76. Intersect(d, f) → T_1,
  77. Intersect(d, c_1) → U_1,
  78. Intersect(d, h) → V_1,
  79. Intersect(d, i) → W_1,
  80. Intersect(d, j) → Z_1,
  81. Intersect(d, k) → B_2,
  82. Intersect(d, l) → C_2,
  83. Intersect(d, m) → D_2,
  84. Intersect(d, n) → E_2,
  85. Intersect(d, p) → F_2,
  86. Intersect(d, q) → G_2,
  87. Intersect(d, r) → H_2,
  88. Intersect(d, s) → I_2,
  89. Intersect(d, t) → J_2,
  90. Intersect(d, d_1) → K_2,
  91. Intersect(d, a_1) → L_2,
  92. Intersect(d, e_1) → M_2,
  93. Polygon(U, M_2, A_2, D_2, C_2, B_2, Z_1, W_1, V_1, U_1, T_1, S_1, L_2, T, K_2, J_2, I_2, H_2, G_2, F_2, E_2) → poly1, u, e_2, a_2, d_3, c_2, b_2, z_1, w_1, v_1, u_1, t_1, m_2, s_1, t_2, l_2, k_2, j_2, i_2, h_2, g_2, f_2

AI 绘图提示语参考

画一个圆,标出圆心、半径和直径。在圆上任意画一条弦,并找到弦的中点,画出垂直于弦的直线,交圆于两点。连接圆心和这两点,形成两个全等的直角三角形。再画一条过圆心的任意直线,交圆于两点,连接这两点形成直径。在圆上任意画一段弧,并标出弧的两端点。最后,画一个扇形,由圆心、弧的两端点连接而成。
以上提示语为根据原始绘图命令整理而来,仅供参考。