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整数求和1

整数求和1
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2016-10-19 15:20
数列解析几何概率统计
本范例演示整数求和的概念。涉及的核心数学概念包括整数的性质和统计特征。通过使用GeoGebra命令如Point, Polygon, Vector, Sequence等，可以构建出整数求和的图形。适合初中及以上学生学习。

GeoGebra 命令及参数

  1. Point(yAxis) → B
  2. Polygon(B, A, 4) → poly_1, f, g, h, i, C, D
  3. Vector((0, 0), (1, 0)) → u
  4. Polygon(C, A, 4) → poly_2, j, k, l, m, E, F
  5. Polygon(F, E, 4) → poly_3, s, t, a, b, I, J
  6. Polygon(J, I, 4) → poly_4, k_1, l_1, m_1, n_1, O, P
  7. Polygon(P, O, 4) → poly_5, h_2, i_2, j_2, k_2, W, Z
  8. Polygon(Z, W, 4) → poly_6, i_3, j_3, k_3, l_3, I_1, J_1
  9. Polygon(J_1, I_1, 4) → poly_7, n_4, p_4, q_4, r_4, U_1, V_1
  10. Polygon(V_1, U_1, 4) → poly_8, d_5, e_5, f_6, g_6, K_2, L_2
  11. Polygon(L_2, K_2, 4) → poly_9, g_9, h_9, i_9, j_9, Q_3, R_3
  12. Polygon(G, H, 4) → poly1, n, p, q, r, K, L
  13. Sequence(Translate[poly_2, Vector[(k * u)]], k, 1, 1) → list2
  14. Sequence(Translate[poly_3, Vector[(k * u)]], k, 1, 2) → list1
  15. Sequence(Translate[poly_4, Vector[(k * u)]], k, 1, 3) → list3
  16. Sequence(Translate[poly_5, Vector[(k * u)]], k, 1, 4) → list4
  17. Sequence(Translate[poly_6, Vector[(k * u)]], k, 1, 5) → list5
  18. Sequence(Translate[poly_7, Vector[(k * u)]], k, 1, 6) → list6
  19. Sequence(Translate[poly_8, Vector[(k * u)]], k, 1, 7) → list7
  20. Sequence(Translate[poly_9, Vector[(k * u)]], k, 1, 8) → list8
  21. Sequence(Translate[poly1, Vector[(k * u)]], k, 1, 9) → list9
  22. Segment(B, (層數, (-層數) + 1)) → line
  23. Polygon((移動, 1), (移動 + 1, 1), (移動 + 1, 0)) → Triangle, c, d, e
  24. Vector((0, 0), (1, -1)) → v
  25. Polygon((0, 1), (1, 1), (1, 0)) → Triangle_1, f_1, g_1, h_1
  26. Sequence(Translate[Triangle, Vector[(k * v)]], k, 1, 層數 - 1) → list10
  27. Sequence(Translate[Triangle_1, Vector[(k * v)]], k, 1, 層數 - 1) → list11
  28. Polygon(M, N, 4) → poly2, i_1, j_1, p_1, q_1, Q, R