分数除法 by Daniel Mentrard

分数除法 by Daniel Mentrard
几何画板及绘图内容加载中,请稍等……
2021-11-18 04:54
这个范例演示了分数除法的过程。它涉及的核心数学概念包括分数和除法。通过使用GeoGebra命令如Vector、LCM、DivPoint等,可以构造出分数除法的几何模型。适合小学高年级或初中学生学习分数除法的概念和操作。

GeoGebra 命令及参数

  1. Vector(A, U) → v_1
  2. LCM(b, d) → o
  3. DivPoint(A, D, o) → list7
  4. DivPoint(B, C, o) → list8
  5. Polygon(A, Element[list7, t], Element[list8, t], B) → poly5, q, r, f_1, g_1
  6. Polygon(E, F, G, H) → poly2, e, f_2, g, h
  7. Segment(I, J) → i
  8. Segment(K, L) → j
  9. Textfield(a) → InputBox1
  10. Textfield(b) → InputBox2
  11. Textfield(c) → InputBox3
  12. Textfield(d) → InputBox4
  13. Polygon(A, D, C, B) → poly1, a_1, d_1, c_1, b_1
  14. DivPoint(A, D, b) → list1
  15. DivPoint(B, C, b) → list2
  16. DivPoint(E, F, d) → list3
  17. DivPoint(H, G, d) → list4
  18. Sequence(Segment[Element[list1, i], Element[list2, i]], i, 1, b) → list5, {2, 2, 2, NaN}
  19. Sequence(Segment[Element[list3, i], Element[list4, i]], i, 1, d) → list6, {2, 2, 2, 2, 2, 2, NaN}
  20. Polygon(A, Element[list1, a], Element[list2, a], B) → poly3, a_2, k, l, b_2
  21. Polygon(E, Element[list3, c], Element[list4, c], H) → poly4, e_1, m, n, h_1
  22. DivPoint(E, F, o) → list9
  23. DivPoint(H, G, o) → list10
  24. Sequence(Segment[Element[list7, i], Element[list8, i]], i, 1, o) → list11, {2, 1.9999999999999996, 1.9999999999999996, 2.0000000000000004, 2.0000000000000004, 2, 2, 2, 1.9999999999999996, 1.9999999999999996, 2.0000000000000004, 2.0000000000000004, 2, 2, 2, 1.9999999999999996, 1.9999999999999996, 2.0000000000000004, 2.0000000000000004, 2, 2, 2, 1.9999999999999996, 1.9999999999999996, 2.0000000000000004, 2.0000000000000004, 2, NaN}
  25. Sequence(Segment[Element[list9, i], Element[list10, i]], i, 1, o) → list12, {2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, NaN}
  26. Sequence(Polygon[Element[list7, (t * i)], Element[list7, (t * (i + 1))], Element[list8, (t * (i + 1))], Element[list8, (t * i)]], i, 1, p - 1) → list13, {}
  27. Segment(M, N) → f
  28. Segment(O, P) → i_1
  29. Point(e_1) → V
  30. Vector(V, U) → u_1
  31. Translate(poly5, v_1) → poly4'
  32. Translate(poly3, v_1) → poly3'
  33. Sequence(Translate[Element[list11, i], v_1], i, 0, t) → liste1, {NaN, 2, 1.9999999999999996, 1.9999999999999996, 2.0000000000000004, 2.0000000000000004, 2, 2, 2, 1.9999999999999996, 1.9999999999999996, 2.0000000000000004, 2.0000000000000004}
  34. Translate(k, v_1) → k'
  35. Translate(a_2, v_1) → j_1
  36. Translate(B, v_1) → B'
  37. Translate(A, v_1) → A'
  38. Segment(B', A') → k_1
  39. Translate(l, v_1) → l'
  40. Translate(e_1, u_1) → l_1
  41. Translate(H, u_1) → H'
  42. Translate(m, u_1) → m'
  43. Translate(n, u_1) → n'
  44. Midpoint(j_1) → W
  45. Midpoint(n') → Z
  46. Midpoint(m') → A_1

AI 绘图提示语参考

画一个几何图形来演示分数除法的过程,包含两个三角形和一个四边形,通过向量、最小公倍数和分割点来构建模型,展示分数除法的几何意义,适合中学生学习。
以上提示语为根据原始绘图命令整理而来,仅供参考。