交点轨迹 by cmgfaiz

交点轨迹 by cmgfaiz
几何画板及绘图内容加载中,请稍等……
2014-05-11 00:01
这个范例演示了交点的轨迹。它涉及圆、角、旋转等核心数学概念。通过使用GeoGebra命令如Intersect、Rotate、Angle等,可以构造出交点的动态轨迹。适合高中数学教学和学习,特别是解析几何和几何作图领域。

GeoGebra 命令及参数

  1. Intersect(xAxis, yAxis) → A
  2. Circle(A, 1) → c
  3. Intersect(xAxis, yAxis) → P_2
  4. Intersect(p_3, q_3, (1, 0)) → B
  5. Rotate(B, π / n, P_2) → B'
  6. Angle(B, P_2, B') → α
  7. OrthogonalLine(B', xAxis) → b
  8. Intersect(c, b, 1) → C
  9. Polygon(C, B', n) → poly1, d, m, n_3, j_1, l_1, n_1, r_1, t_1, b_2, d_2, f_2, e, h_2, j_2, l_2, n_2, q_2, s_2, a_3, c_3, e_3, f_3, f, g_3, D, E, F, G, H, I, J, K, L, g, W, A_1, C_1, H_1, J_1, L_1, N_1, P_1, R_1, T_1, h, V_1, Z_1, B_2, D_2, F_2, H_2, J_2, K_2, L_2, i, j, k, l
  10. Circle(B, s) → p
  11. Intersect(p, xAxis, 1) → M
  12. Circle(M, s) → q
  13. Rotate(M, (π * (n - 2) / ((2 * n))), B) → M'
  14. Angle(M, B, M') → β
  15. Ray(B, M') → r
  16. Intersect(q, r, 2) → N
  17. Polygon(N, B, n) → poly2, t, i_1, k_1, m_1, p_1, q_1, s_1, a_2, c_2, e_2, g_2, a_1, i_2, k_2, m_2, p_2, r_2, t_2, b_3, d_3, h_3, i_3, b_1, j_3, O, P, Q, R, S, T, U, V, D_1, c_1, E_1, F_1, G_1, I_1, K_1, M_1, O_1, Q_1, S_1, U_1, d_1, W_1, A_2, C_2, E_2, G_2, I_2, M_2, N_2, O_2, e_1, f_1, g_1, h_1
  18. Intersect(d, a_1) → Z
  19. Intersect(d, t) → B_1