多项式的加减法

多项式的加减法
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2020-06-22 13:44
本范例演示了多项式的加法和减法。核心数学概念包括多项式的加减运算。通过使用GeoGebra命令,如Corner, If, button, text等,可以动态展示多项式的加减过程。适合初中及以上学生学习多项式的加减法。

GeoGebra 命令及参数

  1. Corner(1) → C
  2. If(op > 0, "+", "-") → sign0
  3. If(coeffy1 > 0, "+", "") → signy1
  4. If(coeffy2 > 0, "+", "") → signy2
  5. If(coeffy3 > 0, "+", "") → signy3
  6. If(coeffz2 > 0, "+", "") → signz2
  7. If(coeffz3 > 0, "+", "") → signz3
  8. If(coeffz1 > 0, "+", "") → signz1
  9. If(op > 0, coeffy2, (-coeffy2)) → coeffy4
  10. If(op > 0, coeffy3, (-coeffy3)) → coeffy5
  11. If(op > 0, coeffz2, (-coeffz2)) → coeffz4
  12. If(op > 0, coeffz3, (-coeffz3)) → coeffz5
  13. If(coeffy4 > 0, "+", "") → signy4
  14. If(coeffy5 > 0, "+", "") → signy5
  15. If(coeffz4 > 0, "+", "") → signz4
  16. If(coeffz5 > 0, "+", "") → signz5
  17. If(op > 0, coeffx2, (-coeffx2)) → coeffx4
  18. If(op > 0, coeffx3, (-coeffx3)) → coeffx5
  19. If(coeffx4 > 0, "+", "") → signx4
  20. If(coeffx5 > 0, "+", "") → signx5
  21. If(anscoeffx ≟ 0, "", If[anscoeffx ≟ 1, lx(m), If[anscoeffx ≟ -1, "-" + (lx(m)), anscoeffx + lx(m)]]) → ansx
  22. If(anscoeffy ≟ 0, "", If[anscoeffy ≟ 1, ly(m), If[anscoeffy ≟ -1, "-" + (ly(m)), If[anscoeffy > 1, anscoeffy + ly(m), anscoeffy + ly(m)]]]) → ansy
  23. If(anscoeffz ≟ 0, "", If[anscoeffz ≟ 1, lz(m), If[anscoeffz ≟ -1, "-" + (lz(m)), If[anscoeffz > 1, anscoeffz + lz(m), anscoeffz + lz(m)]]]) → ansz
  24. If(ansx ≠ "", If[anscoeffy > 0, "+", ""], "") → signyans
  25. If(ansx ≟ "", If[ansy ≟ "", "", If[anscoeffz > 0, "+", ""]], If[anscoeffz > 0, "+", ""]) → signzans
  26. If(coeffx1 ≟ 1, "", If[coeffx1 ≟ -1, "-", Text[coeffx1]]) → cx1
  27. If(coeffx2 ≟ 1, "", If[coeffx2 ≟ -1, "-", Text[coeffx2]]) → cx2
  28. If(coeffx3 ≟ 1, "", If[coeffx3 ≟ -1, "-", Text[coeffx3]]) → cx3
  29. If(coeffy1 ≟ 1, "", If[coeffy1 ≟ -1, "-", Text[coeffy1]]) → cy1
  30. If(coeffy2 ≟ 1, "", If[coeffy2 ≟ -1, "-", Text[coeffy2]]) → cy2
  31. If(coeffy3 ≟ 1, "", If[coeffy3 ≟ -1, "-", Text[coeffy3]]) → cy3
  32. If(m > 2, If[coeffz1 ≟ 1, "", If[coeffz1 ≟ -1, "-", Text[coeffz1]]], Text[coeffz1]) → cz1
  33. If(m > 2, If[coeffz2 ≟ 1, "", If[coeffz2 ≟ -1, "-", Text[coeffz2]]], Text[coeffz2]) → cz2
  34. If(coeffx4 ≟ 1, "", If[coeffx4 ≟ -1, "-", Text[coeffx4]]) → cx4
  35. If(coeffx5 ≟ 1, "", If[coeffx5 ≟ -1, "-", Text[coeffx5]]) → cx5
  36. If(coeffy4 ≟ 1, "", If[coeffy4 ≟ -1, "-", Text[coeffy4]]) → cy4
  37. If(coeffy5 ≟ 1, "", If[coeffy5 ≟ -1, "-", Text[coeffy5]]) → cy5
  38. If(m > 2, If[coeffz4 ≟ 1, "", If[coeffz4 ≟ -1, "-", Text[coeffz4]]], Text[coeffz4]) → cz4
  39. If(m > 2, If[coeffz3 ≟ 1, "", If[coeffz3 ≟ -1, "-", Text[coeffz3]]], Text[coeffz3]) → cz3
  40. If(m > 2, If[coeffz5 ≟ 1, "", If[coeffz5 ≟ -1, "-", Text[coeffz5]]], Text[coeffz5]) → cz5

AI 绘图提示语参考

绘制一个动态展示多项式加减过程的图形,包含多项式的坐标几何表示,通过按钮交互显示加减结果,关键步骤包括根据系数正负判断加减符号,动态调整系数正负,最终展示多项式加减后的结果,适合初中及以上学生理解多项式运算。
以上提示语为根据原始绘图命令整理而来,仅供参考。