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分数乘法演示 by Sébastien Vieilhescazes

分数乘法演示 by Sébastien Vieilhescazes
几何画板及绘图内容加载中，请稍等……
2018-05-14 22:26
数列几何作图
①本范例演示分数乘法的计算过程及几何意义；②涉及核心数学概念包括分数乘法规则、几何图形的表示与变换；③构造摘要中使用了Sequence（数列）、a, b, c, d（变量）、text系列（文本对象）、list系列（列表对象）、slider（滑块动画）等GeoGebra命令与对象；④适合初中及以上数学学习者用于理解分数乘法及其实际应用。

GeoGebra 命令及参数

  1. Sequence(CircleSector[C, (x(C) + (r * sin((((i + 1) * 2) * π / d))), y(C) + (r * cos((((i + 1) * 2) * π / d)))), (x(C) + (r * sin(((i * 2) * π / d))), y(C) + (r * cos(((i * 2) * π / d))))], i, 0, d - 1) → list3
  2. Sequence(CircleSector[C, (x(C) + (r * sin((((i + 1) * 2) * π / d))), y(C) + (r * cos((((i + 1) * 2) * π / d)))), (x(C) + (r * sin(((i * 2) * π / d))), y(C) + (r * cos(((i * 2) * π / d))))], i, 0, c - 1) → list1
  3. Sequence(CircleSector[C, (x(C) + (r * sin((((i + 1) * 2) * π / d / b))), y(C) + (r * cos((((i + 1) * 2) * π / d / b)))), (x(C) + (r * sin(((i * 2) * π / d / b))), y(C) + (r * cos(((i * 2) * π / d / b))))], i, 0, 0) → list2
  4. Sequence(CircleSector[C, (x(C) + (r * sin((((i + 1) * 2) * π / d / b))), y(C) + (r * cos((((i + 1) * 2) * π / d / b)))), (x(C) + (r * sin(((i * 2) * π / d / b))), y(C) + (r * cos(((i * 2) * π / d / b))))], i, 0, b - 1) → list4
  5. Sequence(CircleSector[C, (x(C) + (r * sin((((i + 1) * 2) * π / d / b))), y(C) + (r * cos((((i + 1) * 2) * π / d / b)))), (x(C) + (r * sin(((i * 2) * π / d / b))), y(C) + (r * cos(((i * 2) * π / d / b))))], i, 0, a - 1) → list5
  6. Sequence(CircleSector[C, (x(C) + (r * sin((((i + 1) * 2) * π / d / b))), y(C) + (r * cos((((i + 1) * 2) * π / d / b)))), (x(C) + (r * sin(((i * 2) * π / d / b))), y(C) + (r * cos(((i * 2) * π / d / b))))], i, 0, (b * d) - 1) → list6
  7. Sequence(Sequence[CircleSector[C, (x(C) + (r * sin((((i + 1 + (k * b)) * 2) * π / d / b))), y(C) + (r * cos((((i + 1 + (k * b)) * 2) * π / d / b)))), (x(C) + (r * sin((((i + (k * b)) * 2) * π / d / b))), y(C) + (r * cos((((i + (k * b)) * 2) * π / d / b))))], i, 0, a - 1], k, 0, c - 1) → list7
  8. Sequence(CircleSector[C, (x(C) + (r * sin((((i + 1) * 2) * π / d))), y(C) + (r * cos((((i + 1) * 2) * π / d)))), (x(C) + (r * sin(((i * 2) * π / d))), y(C) + (r * cos(((i * 2) * π / d))))], i, 0, 0) → list8