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平衡模型中的方程建模

平衡模型中的方程建模
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2019-06-10 07:54
函数几何作图
这个范例通过调整变量值，展示方程的变化。它涉及的核心数学概念是方程及其解。通过使用GeoGebra命令如Line, Circle, Intersect等，可以构造出方程的平衡模型。适合初中及以上学生学习方程解的概念。

GeoGebra 命令及参数

  1. Line(C, A) → f
  2. Circle(B, 2.5) → c
  3. Intersect(c, f, 2) → D
  4. Intersect(c, f, 1) → E
  5. Segment(E, D) → g
  6. OrthogonalLine(D, h) → i
  7. OrthogonalLine(E, h) → j
  8. Circle(D, 0.5) → d
  9. Circle(E, 0.5) → e
  10. Intersect(d, i, 1) → F
  11. Circle(F, 1) → k
  12. Intersect(k, i, 1) → H
  13. LineBisector(F, H) → l
  14. Intersect(i, l) → I
  15. Circle(I, 0.5) → p
  16. Intersect(p, l, 1) → J
  17. Intersect(p, l, 2) → K
  18. Segment(D, F) → m
  19. Segment(F, J) → n
  20. Segment(F, K) → q
  21. Segment(K, H) → r
  22. Segment(J, H) → s
  23. Polygon(F, J, H, K) → q1, f_1, j_1, h_1, k_1
  24. DrawSquare(h, H) → L, M, N, O, q2, t, a, b, g_1, i_1
  25. DrawSquare(h, O) → P, Q, R, S, q3, l_1, m_1, n_1, p_1, q_1
  26. DrawSquare(h, S) → T, U, V, W, q4, r_1, s_1, t_1, a_1, b_1
  27. DrawSquare(h, W) → Z, A_1, B_1, C_1, q5, c_1, d_1, e_1, f_2, g_2
  28. DrawSquare(h, C_1) → D_1, E_1, F_1, G_1, q6, h_2, i_2, j_2, k_2, l_2
  29. DrawSquare(h, G_1) → H_1, I_1, J_1, K_1, q7, m_2, n_2, p_2, q_2, r_2
  30. DrawSquare(h, E) → G, L_1, M_1, N_1, q8, s_2, t_2, a_2, b_2, c_2
  31. Circle(N_1, 1) → d_2
  32. Intersect(d_2, j, 1) → O_1
  33. OrthogonalLine(O_1, j) → e_2
  34. Circle(O_1, answer / 5) → c_3
  35. Intersect(c_3, e_2, 1) → P_1
  36. Intersect(c_3, e_2, 2) → Q_1
  37. OrthogonalLine(P_1, e_2) → f_3
  38. OrthogonalLine(Q_1, e_2) → g_3
  39. Circle(P_1, 2.5) → d_3
  40. Circle(Q_1, 2.5) → e_3
  41. Intersect(d_3, f_3, 2) → R_1
  42. Intersect(e_3, g_3, 2) → S_1
  43. Polygon(Q_1, P_1, R_1, S_1) → q9, h_3, i_3, j_3, k_3
  44. Segment(N_1, O_1) → l_3
  45. LineBisector(S_1, R_1) → m_3
  46. Intersect(m_3, j_3) → T_1
  47. DrawX(B, solution, answer, h, T_1) → q10, n_3, p_3, q_3, r_3, s_3, U_1, V_1