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不等式求解 GeoGebra 示例

不等式求解 GeoGebra 示例
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2019-04-05 19:47
解析几何不等式几何作图函数图像
①本范例演示了如何使用 GeoGebra 绘制不等式解集的图形；②涉及核心数学概念包括不等式、分数、角度、二项分布、条形图、不定积分；③作图要点使用了 Polygon, LaTeX, Element, Textfield, If 等命令和对象；④适合高中及以上数学学习者和教师用于教学演示和探索。

GeoGebra 命令及参数

  1. Polygon({(-11, -11), (-11, 11), (11, 11), (11, -11)}) → viewBox
  2. LaTeX((((("\text{" * QUESTION) * "\\") * INSTRUCTIONS) * "}")) → TEXT
  3. Element(questionList, questionListIndex) → questionNum
  4. LaTeX("\text{Enter the coordinates for Point \(B\),\\a point that \textbf{is not} part of the solution set.}") → bPrompt
  5. LaTeX("\text{Enter the coordinates for Point \(A\),\\a point that \textbf{is} part of the solution set.}") → aPrompt
  6. Textfield(textAX) → axBox
  7. Textfield(textAY) → ayBox
  8. Textfield(textBY) → byBox
  9. LaTeX("B(\hspace{47},\hspace{47})") → bCoords
  10. LaTeX("A(\hspace{47},\hspace{47})") → aCoords
  11. Textfield(textBX) → bxBox
  12. LaTeX("\text{Any point that lies within the shaded region,\\or on a solid boundary, satisfies the inequality.}") → aFeedback
  13. If(Defined[A], A2(A), false) → C2
  14. If(Defined[A], A3(A), false) → C3
  15. If(Defined[A], A4(A), false) → C4
  16. If(Defined[A], A5(A), false) → C5
  17. If(Defined[B], ¬(A2(B)), false) → D2
  18. If(Defined[B], ¬(A3(B)), false) → D3
  19. If(Defined[B], ¬(A4(B)), false) → D4
  20. If(Defined[B], ¬(A5(B)), false) → D5
  21. Element(C2:C5, questionNum) → isAcorrect
  22. Element(D2:D5, questionNum) → isBcorrect
  23. LaTeX("\text{Any point that lies within the unshaded region,\\or on a dashed boundary, does not satisfy the\\inequality.}") → bFeedback