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两位数加法演示 by Tom Carpenter

两位数加法演示 by Tom Carpenter
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2017-03-22 00:28
立体几何
所属专题 Concrete-Pictorial-Abstract and the Teaching for Mastery
①本范例通过可视化方式演示两位数加法的计算过程与结果；②涉及的核心数学概念包括加法运算、自然数、树状图、等腰三角形、直方图、棱柱、不定积分；③作图要点——从下方『构造摘要』提炼用到了Segment（线段）、Sequence（数列）、Polygon（多边形）、Textfield（文本框）、If（条件判断）等GeoGebra命令/对象；④适合小学高年级或初中低年级学生学习加法运算，也可用于数学教学演示。

GeoGebra 命令及参数

  1. Segment((0, 0), (0, 10)) → f
  2. Segment((1, 0), (1, 10)) → g
  3. Sequence(Segment[(0, i), (1, i)], i, 0, 10, 1) → list1
  4. Segment((1, a), (1, 10 + a)) → i
  5. Segment((0, a), (0, 10 + a)) → h
  6. Sequence(Segment[(0, i), (1, i)], i, a, a + 10, 1) → list2
  7. Sequence(Segment[((-i), 0), ((-i), 10)], i, 1, 11, 1) → list3
  8. Segment((-1, 0), (-11, 0)) → j
  9. Segment((-1, 10), (-11, 10)) → l
  10. Sequence(Segment[((-i), a), ((-i), a + 10)], i, 1, 11, 1) → list4
  11. Segment((-1, a), (-11, a)) → k
  12. Segment((-1, a + 10), (-11, a + 10)) → m
  13. Polygon((-11, 0), (-11, 10), (-11 + C1, 10), (-11 + C1, 0)) → poly1, n, p, q, r
  14. Polygon((-1, a), (-1, a + 10), (-1 - A1, a + 10), (-1 - A1, a)) → poly2, s, t, b, c
  15. Polygon((0, 0), (0, D1), (1, D1), (1, 0)) → poly3, d, e, f_1, g_1
  16. Polygon((0, 10 + a), (1, 10 + a), (1, a + 10 - B1), (0, a + 10 - B1)) → poly4, h_1, i_1, j_1, k_1
  17. Polygon((o, 0), (1 + o, 0), (1 + o, 10), (o, 10)) → poly5, l_1, m_1, n_1, p_1
  18. Polygon((0, D1), (1, D1), (1, 10 - B1), (0, 10 - B1)) → poly6, q_1, r_1, s_1, t_1
  19. Textfield(A2) → InputBox1
  20. Textfield(C2) → InputBox2
  21. Polygon(A, B, C, D) → poly7, a_1, b_1, c_1, d_1
  22. Polygon((-1 - A1, 0), (-11 + C1, 0), (-11 + C1, 10), (-1 - A1, 10)) → poly8, e_1, f_2, g_2, h_2
  23. If(110 > A6 > 99, If[o ≟ B3, 1, 0], 0) → A7