同类项合并练习

同类项合并练习
几何画板及绘图内容加载中,请稍等……
2019-11-28 21:38
本范例通过互动练习帮助学生掌握同类项合并的概念。演示了如何通过合并同类项简化代数表达式。使用了 GeoGebra 的多种命令,如 RandomElement、Shuffle 和 Append 等,来动态生成题目。适合初中及以上学生进行代数基础练习。

GeoGebra 命令及参数

  1. RandomElement({-6, -5, -4, -3, 3, 4, 5, 6}) → constant2
  2. Text(If[constant2 < 0, "-", "+"]) → constant2sign
  3. RandomElement({-6, -5, -3, -1, 1, 3, 5, 6}) → variable1
  4. Text(If[abs(variable1) ≠ 1, abs(variable1), ""]) → variable1value
  5. Text(If[variable1 < 0, "-", ""]) → variable1neg
  6. RandomElement({-7, -2, -1, 1, 2, 7}) → constant1
  7. Text(If[constant1 < 0, "-", "+"]) → constant1sign
  8. RandomElement({-7, -4, -2, 2, 4, 7}) → variable2
  9. Text(If[variable2 < 0, "-", "+"]) → variable2sign
  10. Text(If[abs(variable2) ≠ 1, abs(variable2), ""]) → variable2value
  11. Shuffle(xtermfirst) → shufflextermfirst, {"+4x", "+4", "+7"}
  12. Remove(shufflextermfirst, {otherconstant1, otherconstant2}) → onevariable
  13. Remove(shufflextermfirst, {otherxterm1}) → twoconstants
  14. Text(If[constantdifference > 0, "-", "+"]) → constantdifferencesignwrong
  15. Text(If[constantdifference < 0, "-", "+"]) → constantdifferencesign
  16. Text(If[constantsum < 0, "+", "-"]) → constantsumsignwrong
  17. Text(If[constantsum < 0, "-", "+"]) → constantsumsign
  18. Text(If[xdifference > 0, "-", ""]) → xdifferencesignwrong
  19. Text(If[abs(xdifference) ≠ 1, abs(xdifference), ""]) → xdifferencevalue
  20. Text(If[xdifference < 0, "-", ""]) → xdifferencesign
  21. Text(If[xsum > 0, "-", ""]) → xsumsignwrong
  22. Text(If[abs(xsum) ≠ 1, abs(xsum), ""]) → xsumvalue
  23. Text(If[xsum < 0, "-", ""]) → xsumsign
  24. Shuffle(wrongs) → shufflewrongs, {"x-11", "-9x+11", "9x-3", "9x+11", "x-3", "-9x+3", "9x+3", "x+11", "-x+3", "-x-11", "-9x-3", "9x-11", "x+3", "-9x-11", "-x-3"}
  25. Shuffle(choices) → shuffledchoices, {"-9x+11", "x-11", "-x+11", "9x-3"}
  26. Append("$\textsf{Choose one}$", shuffledchoices) → userinput
  27. Corner(5) → dims
  28. Text(If[constant1 < 0, "-", ""]) → constant1neg
  29. Text(If[variable1 < 0, "-", "+"]) → variable1sign
  30. RandomElement({firsttermx, firsttermconstant}) → firstterm, "-5x"
  31. Shuffle(constantfirst) → shuffleconstantfirst, {"+4x", "+4", "-5x"}
  32. RandomElement({VARIABLEFIRST, CONSTANTFIRST}) → question, "-5x+4x+4+7"
  33. Remove(shuffleconstantfirst, {otherxterm1, otherxterm2}) → oneconstant
  34. Remove(shuffleconstantfirst, {otherconstant1}) → twovariables
  35. If(IndexOf["+", twovariables1] ≠ 1, twovariables1, Take[twovariables1, 2]) → twovariablesnoneg
  36. IndexOf(twovariables1, "+") → test
  37. If(question ≟ VARIABLEFIRST, Solx, SolConst) → reordered

AI 绘图提示语参考

绘制一个代数练习界面,中央显示一个随机生成的含变量与常数的多项式表达式,如“-5x+4x+4+7”。下方提供四个选项按钮,每个选项是一个简化后的表达式,其中包含正确结果和三个错误结果。界面顶部有标题“Collecting Like Terms Practice”,并配有提示文字“Choose one”。所有文本以清晰的黑体显示,背景为浅色,按钮为圆角矩形,整体布局简洁,适合学生交互选择。
以上提示语为根据原始绘图命令整理而来,仅供参考。