积极 AI Logo 积极 AI

余弦函数的导数探索

余弦函数的导数探索
几何画板及绘图内容加载中，请稍等……
2016-01-14 22:27
函数三角函数微积分导数函数图像
这个范例演示了余弦函数的导数。核心数学概念包括导数和微积分。通过使用GeoGebra命令如Point, Circle, Intersect, Segment, Derivative等，可以构造出余弦函数的图像及其导数曲线。适合高中数学教学和学习微积分概念。

GeoGebra 命令及参数

  1. Point(e) → A
  2. Circle(B, 0.8) → k
  3. Intersect(j, k, 1) → C
  4. Intersect(j, k, 2) → D
  5. Segment(C, D) → l
  6. Derivative(f) → f'
  7. Point(h) → E
  8. Circle(F, 0.8) → q
  9. Intersect(p, q, 1) → G
  10. Intersect(p, q, 2) → H
  11. Segment(G, H) → n
  12. Point(g) → I
  13. Circle(J, 0.8) → s
  14. Intersect(r, s, 1) → M
  15. Intersect(r, s, 2) → N
  16. Segment(M, N) → t
  17. Point(i) → K
  18. Circle(L, 0.8) → c_1
  19. Intersect(f_1, c_1, 1) → O
  20. Intersect(f_1, c_1, 2) → P
  21. Segment(O, P) → a_1
  22. Point(b_1) → Q
  23. Circle(R, 0.8) → k_1
  24. Intersect(p_1, k_1, 1) → S
  25. Intersect(p_1, k_1, 2) → T
  26. Segment(S, T) → i_1
  27. Point(d_1) → U
  28. Circle(V, 0.8) → r_1
  29. Intersect(q_1, r_1, 2) → W
  30. Intersect(q_1, r_1, 1) → Z
  31. Segment(Z, W) → j_1
  32. Point(e_1) → A_1
  33. Circle(B_1, 0.8) → t_1
  34. Intersect(s_1, t_1, 2) → C_1
  35. Intersect(s_1, t_1, 1) → D_1
  36. Segment(D_1, C_1) → l_1
  37. Point(g_1) → E_1
  38. Circle(F_1, 0.8) → c_2
  39. Intersect(f_2, c_2, 1) → G_1
  40. Intersect(f_2, c_2, 2) → H_1
  41. Segment(G_1, H_1) → m_1
  42. Point(h_1) → I_1
  43. Circle(J_1, 0.8) → d_2
  44. Intersect(g_2, d_2, 1) → K_1
  45. Intersect(g_2, d_2, 2) → L_1
  46. Segment(K_1, L_1) → n_1