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数位对齐加法演示 by Yoel Istiawanto

数位对齐加法演示 by Yoel Istiawanto
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2018-05-26 20:08
数列解析几何几何作图滑块动画
①本范例演示了数位对齐加法的计算过程，通过可视化方式展示个位、十位、百位的相加；②涉及的核心数学概念包括数位、加法运算、十进制系统；③作图要点——范例使用了Flatten, Textfield, Mod, Sequence, Segment等GeoGebra命令和对象，如数组对象（firstonesarray等）和滑块（slideit）来动态展示加法过程；④适合小学中高年级学生或数学初学者学习加法运算和数位概念。

GeoGebra 命令及参数

  1. Flatten(Sequence[Sequence[(x(A) + (i * horizontalspacing), y(A) - (j * verticalspacing)), i, 0, horizontalnumber - 1], j, 0, verticalnumber - 1]) → firstonesarray
  2. Flatten(Sequence[Sequence[(x(B) + (i * horizontalspacing), y(B) - (j * verticalspacing)), i, 0, horizontalnumber - 1], j, 0, verticalnumber - 1]) → firsttensarray
  3. Flatten(Sequence[Sequence[(x(C) + (i * horizontalspacing), y(C) - (j * verticalspacing)), i, 0, horizontalnumber - 1], j, 0, verticalnumber - 1]) → firsthundredsarray
  4. Flatten(Sequence[Sequence[(x(D) + (i * horizontalspacing), y(D) - (j * verticalspacing)), i, 0, horizontalnumber - 1], j, 0, verticalnumber - 1]) → secondonesarray
  5. Flatten(Sequence[Sequence[(x(E) + (i * horizontalspacing), y(E) - (j * verticalspacing)), i, 0, horizontalnumber - 1], j, 0, verticalnumber - 1]) → secondtensarray
  6. Flatten(Sequence[Sequence[(x(F) + (i * horizontalspacing), y(F) - (j * verticalspacing)), i, 0, horizontalnumber - 1], j, 0, verticalnumber - 1]) → secondhundredsarray
  7. Flatten(Sequence[Sequence[(x(G) + (i * horizontalspacing), y(G) - (j * verticalspacing)), i, 0, horizontalnumber - 1], j, 0, verticalnumberanswer - 1]) → answeronesarray
  8. Flatten(Sequence[Sequence[(x(H) + (i * horizontalspacing), y(H) - (j * verticalspacing)), i, 0, horizontalnumber - 1], j, 0, verticalnumberanswer - 1]) → answertensarray
  9. Flatten(Sequence[Sequence[(x(I) + (i * horizontalspacing), y(I) - (j * verticalspacing)), i, 0, horizontalnumber - 1], j, 0, verticalnumberanswer - 1]) → answerhundredsarray
  10. Textfield(inputfirsttext) → inputfirst
  11. Textfield(inputsecondtext) → inputsecond
  12. Mod(inputfirstnumber, 10) → firstones
  13. Mod(inputsecondnumber, 10) → secondones
  14. Sequence(Element[firstonesarray, i], i, 1, firstones) → displayfirstones
  15. Sequence(Element[firsttensarray, i], i, 1, firsttens) → displayfirsttens
  16. Sequence(Element[secondonesarray, i], i, 1, secondones) → displaysecondones
  17. Sequence(Element[secondtensarray, i], i, 1, secondtens) → displaysecondtens
  18. Sequence(Translate[Element[displayfirstones, i], Vector[(slideit * Vector[Element[firstonesarray, i], Element[answeronesarray, i]])]], i, 1, firstones) → swoopfirstones
  19. Sequence(Translate[Element[displayfirsttens, i], Vector[(slideit * Vector[Element[firsttensarray, i], Element[answertensarray, i]])]], i, 1, firsttens) → swoopfirsttens
  20. Sequence(Translate[Element[displaysecondones, i], Vector[(slideit * Vector[Element[secondonesarray, i], Element[answeronesarray, i + firstones]])]], i, 1, secondones) → swoopsecondones
  21. Sequence(Translate[Element[displaysecondtens, i], Vector[(slideit * Vector[Element[secondtensarray, i], Element[answertensarray, i + firsttens]])]], i, 1, secondtens) → swoopsecondtens
  22. Sequence(Element[answeronesarray, i], i, 1, answerones) → displayanswerones
  23. Sequence(Element[answertensarray, i], i, 1, answertens) → displayanswertens
  24. Sequence(Element[answerhundredsarray, i], i, 1, answerhundreds) → displayanswerhundreds
  25. Segment(J, K) → f
  26. Mod(inputfirstnumber, 10) → inputfirstones
  27. Mod(inputsecondnumber, 10) → inputsecondones

AI 绘图提示语参考

画一个加法演示图，用点表示个位、十位和百位，展示两个数的加法过程。先画出代表两个加数个位、十位和百位的点阵，再通过滑动条控制，将这些点阵逐个移动并合并，最终形成代表和的个位、十位和百位的点阵。整个过程要清晰展示进位和合并的过程，点阵的大小和间距要适当，确保图形清晰易懂。
以上提示语为根据原始绘图命令整理而来，仅供参考。