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Euclidean Division

Euclidean Division
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2019-09-20 16:02
Geometric ConstructionSlider Animation
This example demonstrates the Euclidean division process by adjusting the dividend and divisor using sliders. Key concepts include quotient and remainder. It uses commands like Segment, Div, Mod, suitable for middle school and above students to learn division principles.

GeoGebra Commands & Parameters

  1. Segment(D, A) → f
  2. Segment(A, B) → g
  3. Segment(C, B) → h
  4. Segment(E, F) → i
  5. Segment(G, F) → j
  6. Segment(H, G) → k
  7. Segment(I, J) → l
  8. Segment(K, J) → m
  9. Segment(L, K) → n
  10. Segment(M, N) → p
  11. Div(a, b) → q
  12. Mod(a, b) → r
  13. Segment(Q, R) → s
  14. Segment(S, R) → t
  15. Segment(T, Q) → a_2
  16. Segment(U, V) → b_2
  17. Segment(W, V) → c
  18. Segment(Z, W) → d
  19. Segment(A_1, B_1) → e
  20. Segment(C_1, B_1) → f_1
  21. Segment(D_1, C_1) → g_1
  22. Segment(E_1, F_1) → h_1
  23. Segment(F_1, G_1) → i_1
  24. Segment(H_1, E_1) → j_1
  25. Segment(I_1, J_1) → k_1
  26. Segment(K_1, J_1) → l_1
  27. Segment(L_1, K_1) → m_1
  28. Segment(M_1, N_1) → n_1
  29. Segment(O_1, N_1) → p_1
  30. Segment(P_1, O_1) → q_1
  31. Segment(Q_1, R_1) → r_1
  32. Segment(S_1, T_1) → s_1
  33. Segment(R_1, S_1) → t_1
  34. Segment(U_1, V_1) → a_1
  35. Segment(V_1, W_1) → b_1
  36. Segment(Z_1, W_1) → c_1
  37. Segment(A_2, B_2) → d_1
  38. Segment(B_2, C_2) → e_1
  39. Segment(C_2, D_2) → f_2
  40. Segment(E_2, F_2) → g_2
  41. Segment(F_2, G_2) → h_2
  42. Segment(G_2, H_2) → i_2
  43. Segment(I_2, J_2) → j_2
  44. Segment(J_2, K_2) → k_2
  45. Segment(K_2, L_2) → l_2
  46. Segment(M_2, N_2) → m_2
  47. Segment(N_2, O_2) → n_2
  48. Segment(O_2, P_2) → p_2
  49. Segment(N, O) → q_2
  50. Segment(O, P) → r_2

AI Drawing Prompt Reference

Draw a geometric diagram to demonstrate Euclidean division with two sliders for the dividend and divisor, showing quotient and remainder as line segments, start by drawing the main segments, then calculate and draw the quotient and remainder segments based on the slider values, finally display the entire division process.
The prompt above was compiled from the original drawing commands and is for reference only.