中点直线方程

中点直线方程
几何画板及绘图内容加载中,请稍等……
2019-05-10 03:24
本范例演示如何通过中点构造直线方程。核心数学概念包括直线方程、中点和向量。使用了Polygon、Sequence、Element、UnitVector等GeoGebra命令。适合初中及以上学生学习解析几何。

GeoGebra 命令及参数

  1. Polygon({A, A + (12 * u), A + (12 * u) - vHeight, A - vHeight}) → ValueFrameTemplate
  2. Length(dTypes) → numSteps
  3. Sequence((-10, -18) + ((3.5 * i) * u), i, 0, 6) → iconAnchors
  4. Sequence(Translate[ValueFrameTemplate, Vector[(-((vHeight * i)))]], i, 0, numSteps - 1) → ValueFrames
  5. Sequence(Polygon[Element[iconAnchors, i], Element[iconAnchors, i + 1], 4], i, 1, 6, 2) → iconFrames
  6. Polygon({(left, bottom), (left, top), (right, top), (right, bottom)}) → viewbox
  7. Element(G3, caseNum) → A3
  8. Element(G4, caseNum) → A4
  9. Element(G5, caseNum) → A5
  10. Polygon({ToolAnchor - (2 * v) - u, ToolAnchor + (4.5 * v) - u, ToolAnchor + (4.5 * v) + (20 * u), ToolAnchor - (2 * v) + (20 * u)}) → toolBar
  11. UnitVector(Vector[A3, A4]) → uAB
  12. UnitVector(Vector[A3, A5]) → uAC
  13. UnitVector(Vector[A4, A5]) → uBC
  14. LaTeX((((("\text{\textbf{Question: }" * QUESTION) * "\\\textbf{Instructions: }") * INSTRUCTIONS) * "}")) → allInstruc
  15. Segment(A4, A5) → segBC
  16. Element(iconFrames, currentAction) → iconHighlighter
  17. Point(studentAnswer) → lblStudentLine
  18. Element(ValueFrames, 1) → vFrame1
  19. Element(ValueFrames, 2) → vFrame2
  20. Element(ValueFrames, 3) → vFrame3
  21. Element(ValueFrames, 4) → vFrame4
  22. Element(ValueFrames, 5) → vFrame5
  23. Element(ValueFrames, 6) → vFrame6
  24. Element(ValueFrames, 7) → vFrame7
  25. Zip(Element[ValueFrames, A], A, selectedList) → highlightedItems
  26. TableText({dDisplay}, "vc") → valueTbl
  27. Line(A3, Midpoint[A4, A5]) → lineA
  28. UnitVector(Vector[A3, Midpoint[A4, A5]]) → uAE
  29. TableText({Join[{{"\phantom{find the equation of a line through (-1,-3) with slope -5}"}, dSteps}]}, "vr") → stepsTable
  30. Line(A3, Midpoint[A4, A5]) → answerLine
  31. LineToSlopeForm1(answerLine) → test
  32. LineToSlopeForm1(answerLine) → answerString
  33. Segment((-10, 13.174886697253502), (-7, 13.174886697253502)) → legendLineK

AI 绘图提示语参考

画一个演示通过中点求直线方程的图形。包含一个四边形和多个通过中点的线段,展示向量和中点的概念。图形从左上角开始,依次绘制多个线段,每个线段连接两个点,形成一条曲线。最后,在图形下方标注文字说明。
以上提示语为根据原始绘图命令整理而来,仅供参考。