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分数相乘 by Colm Duffin

分数相乘 by Colm Duffin
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2016-01-26 05:11
数列
这个范例演示了如何使用GeoGebra进行分数相乘。涉及的核心数学概念是分数的乘法。通过使用Vector, Point, Textfield, Polygon, Segment, Sequence等命令，可以构造出分数相乘的过程。适合小学高年级或初中学生学习分数运算。

GeoGebra 命令及参数

  1. Vector(G, I) → v
  2. Point(G, Vector[If[q > 1, Vector[((q - 1) * v)], Vector[(0 * v)]]]) → K
  3. Vector(F, I) → u
  4. Point(F, Vector[If[q < 1, Vector[(q * u)], u]]) → J
  5. Textfield(N) → InputBox1
  6. Textfield(D) → InputBox2
  7. Polygon((x(J), y(J)), (x(J) + Z, y(J)), (x(J) + Z, y(J) + Z), (x(J), y(J) + Z)) → poly2, f, g, h, i
  8. Segment(A, B) → e
  9. Polygon((0, 0), (0, Z), (Z, Z), (Z, 0)) → poly1, a, b, c, d
  10. Sequence(Polygon[(i, 0), (i + S, 0), (i + S, Z), (i, Z)], i, 0, Z - S, S) → UnitCut
  11. Sequence(Polygon[(i, 0), (i + S, 0), (i + S, Z), (i, Z)], i, 0, (S * (N - 1)), S) → TheFrac
  12. Polygon((7, 0), (7, Z), (Z + 7, Z), (Z + 7, 0)) → poly3, j, k, l, m
  13. Textfield(E) → InputBox3
  14. Segment(C, H) → n
  15. Textfield(M) → InputBox4
  16. Polygon((x(K), y(K)), (x(K) + Z, y(K)), (x(K) + Z, y(K) + Z), (x(K), y(K) + Z)) → poly4, p, r, s, t
  17. Sequence(Polygon[(7, j), (7, j + T), (Z + 7, j + T), (Z + 7, j)], j, 0, Z - T, T) → UnitCut2
  18. Sequence(Polygon[(7, j), (7, j + T), (Z + 7, j + T), (Z + 7, j)], j, 0, (T * (M - 1)), T) → TheFrac2
  19. Sequence(Polygon[(i, y(J)), (i + S, y(J)), (i + S, y(J) + Z), (i, y(J) + Z)], i, x(J), x(J) + (S * (N - 1)), S) → MovingFrac
  20. Sequence(Polygon[(x(K), j), (x(K), j + T), (Z + x(K), j + T), (Z + x(K), j)], j, y(K), y(K) + (T * (M - 1)), T) → MovingFrac2
  21. Sequence(Polygon[(i, y(J)), (i + S, y(J)), (i + S, y(J) + Z), (i, y(J) + Z)], i, x(J), x(J) + Z - S, S) → MovingCut
  22. Sequence(Polygon[(x(K), j), (x(K), j + T), (Z + x(K), j + T), (Z + x(K), j)], j, y(K), y(K) + Z - T, T) → MovingCut2
  23. Segment(L, O) → a_1
  24. Segment(P, Q) → b_1
  25. Segment(R, U) → c_1
  26. Textfield(d_1) → InputBox5
  27. Textfield(e_1) → InputBox6
  28. Polygon(V, W, A_1, B_1, C_1, D_1) → poly5, v_1, w_1, a_2, b_2, c_2, d_2