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Subtraction as a Function Demo

Subtraction as a Function Demo
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2020-02-02 11:38
VectorFunctionCoordinate GeometryCalculusGeometric Construction
This example dynamically demonstrates the geometric meaning of subtraction, representing it as a vector operation from point B to point A. Core math concepts include vectors, 2D vector operations, function representation, definite integral, and quadratic functions. It utilizes GeoGebra commands like Intersect, Point, and Vector. Suitable for high school and above students learning vectors, functions, and calculus, or for educational purposes.

GeoGebra Commands & Parameters

  1. Intersect(xAxis, yAxis) → A
  2. Point(yAxis) → B
  3. Point(yAxis) → C
  4. Point(yAxis) → D
  5. Point(yAxis) → E
  6. Point(yAxis) → F
  7. Point(xAxis) → L
  8. Point(xAxis) → M
  9. Point(xAxis) → Z
  10. Point(xAxis) → M_1
  11. Point(xAxis) → N_1
  12. Point(xAxis) → O_1
  13. Point(xAxis) → P_1
  14. Point(xAxis) → Q_1
  15. Point(yAxis) → S_2
  16. Point(yAxis) → F_3
  17. Point(yAxis) → V_3
  18. Point(yAxis) → I_4
  19. Point(yAxis) → T_4
  20. Vector(B, M_1) → u
  21. Vector(C, N_1) → v
  22. Vector(D, O_1) → w
  23. Vector(E, P_1) → a
  24. Vector(F, Q_1) → b
  25. Vector(K, A) → c
  26. Vector(G_1, A) → d
  27. Vector(F_1, M_1) → e
  28. Vector(S, N_1) → f
  29. Vector(R, O_1) → g
  30. Vector(G, P_1) → h
  31. Vector(H_1, L) → i
  32. Vector(I_1, M) → j
  33. Vector(J_1, Z) → k
  34. Vector(K_1, A_1) → l
  35. Point(xAxis) → B_5
  36. Point(xAxis) → C_5
  37. Point(xAxis) → D_5
  38. Point(xAxis) → E_5
  39. Point(xAxis) → F_5
  40. Vector(R_2, B_5) → m
  41. Vector(Q_2, C_5) → n
  42. Vector(P_2, D_5) → p
  43. Vector(O_2, E_5) → q
  44. Vector(N_2, F_5) → r
  45. Vector(S_2, L) → s
  46. Vector(T_2, M) → t
  47. Vector(U_2, Z) → u_1
  48. Vector(V_2, A_1) → v_1
  49. Vector(W_2, L_1) → w_1
  50. Point(xAxis) → G_5
  51. Point(xAxis) → H_5
  52. Point(xAxis) → I_5
  53. Point(xAxis) → J_5
  54. Point(xAxis) → K_5
  55. Vector(W_4, M) → a_1
  56. Vector(V_4, Z) → b_1
  57. Vector(U_4, A_1) → c_1
  58. Vector(T_4, L_1) → d_1
  59. Vector(S_4, G_5) → e_1
  60. Vector(R_4, H_5) → f_1
  61. Vector(Q_4, I_5) → g_1
  62. Vector(P_4, J_5) → h_1
  63. Vector(O_4, K_5) → i_1
  64. Vector(Z_4, L) → j_1
  65. Vector(A_5, A) → k_1
  66. Vector(D_4, M_1) → l_1
  67. Vector(C_4, N_1) → m_1
  68. Vector(L_3, O_1) → n_1
  69. Vector(K_3, P_1) → p_1

AI Drawing Prompt Reference

Draw a geometric representation of subtraction as a vector operation from point B to point A in a 2D coordinate system. Include multiple vectors starting from various points and intersecting with the coordinate axes. Visualize the concept of subtraction, vector operations, function representation, definite integral, and quadratic functions through these points and vectors.
The prompt above was compiled from the original drawing commands and is for reference only.