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有理数排序 by Celia Jimenez

有理数排序 by Celia Jimenez
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2014-09-28 05:50
解析几何概率统计几何作图
①本范例通过拖动数值到数轴的正确位置，演示了有理数的排序与比较；②涉及核心数学概念包括有理数、数轴表示、大小比较；③作图要点：利用 GeoGebra 命令 Polygon（多边形）、Segment（线段）、Sort（排序）、If（条件判断）、RandomElement（随机元素）等对象构建数轴和动态排序；④适合初中及以上数学学习者，用于理解有理数概念及数轴应用。

GeoGebra 命令及参数

  1. Polygon(K, L, V, W) → poly2, k_1, l, v, w_1
  2. Polygon(L, V, U, M) → poly3, l_1, v_1, u, m
  3. Polygon(M, U, T, N) → poly4, m_1, u_1, t, n
  4. Segment(I, H) → a
  5. Segment(H, Z) → c
  6. Segment(Z, F) → d
  7. Segment(F, G) → e
  8. Segment(A_1, Aact) → f
  9. Segment(C_1, Cact) → g
  10. Segment(D_1, Dact) → h
  11. Segment(B_1, Eact) → i
  12. Sort({x(A_1), x(B_1), x(C_1), x(D_1)}) → list1
  13. If(IndexOf[E, Sort[{A1, B1, C1, D1}]] ≟ IndexOf[x(B_1), Sort[{x(A_1), x(B_1), x(C_1), x(D_1)}]], 1) → orderB
  14. If(IndexOf[A, Sort[{A1, B1, C1, D1}]] ≟ IndexOf[x(A_1), Sort[{x(A_1), x(B_1), x(C_1), x(D_1)}]], 1) → orderA
  15. Sort({A1, B1, C1, D1}) → Test
  16. If(IndexOf[C, Sort[{A1, B1, C1, D1}]] ≟ IndexOf[x(C_1), Sort[{x(A_1), x(B_1), x(C_1), x(D_1)}]], 1) → orderC
  17. If(IndexOf[D, Sort[{A1, B1, C1, D1}]] ≟ IndexOf[x(D_1), Sort[{x(A_1), x(B_1), x(C_1), x(D_1)}]], 1) → orderD
  18. RandomElement({2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}) → Ddenom
  19. RandomElement({-9, -8, -7, -6, -5, -4, -3, -2, -1, 1, 2, 3, 4, 5, 6, 7, 8, 9}) → Dwhole
  20. Polygon(J, X, W, K) → poly1, j, E_1, w, k
  21. RandomElement({2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}) → Cdenom
  22. If(Cdenom ≟ 2, Random[-20, 20, true], If[Cdenom ≟ 3, Random[-30, 30, true], If[Cdenom ≟ 4, Random[-40, 40, true], If[Cdenom ≟ 5, Random[-50, 50, true], If[Cdenom ≟ 6, Random[-60, 60, true], If[Cdenom ≟ 7, Random[-70, 70, true], If[Cdenom ≟ 8, Random[-80, 80, true], If[Cdenom ≟ 9, Random[-90, 90, true], If[Cdenom ≟ 10, Random[-100, 100, true], If[Cdenom ≟ 11, Random[-110, 110, true], If[Cdenom ≟ 12, Random[-120, 120, true]]]]]]]]]]]) → Cnum