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使用面积模型进行整数乘法

使用面积模型进行整数乘法
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2016-07-29 02:46
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①本范例通过展示长方形面积来演示多位数乘法的过程；②涉及的核心数学概念包括整数乘法、面积计算、几何模型；③作图要点——使用了Intersect（交点）、OrthogonalLine（垂线）、Polygon（多边形）、Midpoint（中点）、TableText（表格文本）等GeoGebra命令和对象；④适合小学及以上年级学习乘法、几何与数学建模的学生。

GeoGebra 命令及参数

  1. Intersect(xAxis, yAxis) → I
  2. OrthogonalLine(H_1, yAxis) → a
  3. OrthogonalLine(E, yAxis) → b
  4. OrthogonalLine(D, yAxis) → c
  5. OrthogonalLine(C, xAxis) → d
  6. OrthogonalLine(F, xAxis) → e
  7. OrthogonalLine(G, xAxis) → f
  8. Intersect(a, d) → J
  9. Intersect(b, d) → K
  10. Intersect(c, d) → L
  11. Intersect(c, e) → M
  12. Intersect(b, e) → N
  13. Intersect(a, e) → O_1
  14. Intersect(b, f) → P
  15. Intersect(c, f) → Q
  16. Polygon(D, I, C, L) → poly1, d_1, i, c_1, l
  17. Polygon(C, F, M, L) → poly2, c_2, f_1, m, l_1
  18. Polygon(F, G, Q, M) → poly3, f_2, g, q, m_1
  19. Polygon(P, N, M, Q) → poly4, p, n, m_2, q_1
  20. Polygon(N, K, L, M) → poly5, n_1, k, l_2, m_3
  21. Polygon(N, O_1, J, K) → poly6, n_2, o_2, j, k_1
  22. Polygon(K, J, H_1, E) → poly7, k_2, j_1, h_1, e_1
  23. Polygon(K, L, D, E) → poly8, k_3, l_3, d_2, e_2
  24. Intersect(a, f) → R
  25. Polygon(R, P, N, O_1) → poly9, r, p_1, n_3, o_1
  26. Midpoint(j_1) → S
  27. Midpoint(o_2) → T_1
  28. Midpoint(g) → U
  29. Midpoint(o_1) → V
  30. Midpoint(r) → W
  31. Midpoint(q_1) → Z
  32. TableText({{((H * h) * 10000), ((H * t) * 1000), ((H * o) * 100), ((T * h) * 1000), ((T * t) * 100), ((T * o) * 10), ((O * h) * 100), ((O * t) * 10), (O * o), (A * B)}, {"=Hundreds\times hundreds", "=Hundreds\times tens", "=Hundreds\times ones", "=Tens\times hundreds", "=Tens\times tens", "=Tens\times ones", "=Ones\times hundreds", "=Ones\times tens", "=Ones\times ones", "product"}}, "vr") → text1