中点直线方程
几何画板及绘图内容加载中,请稍等……
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
Polygon({A, A + (12 * u), A + (12 * u) - vHeight, A - vHeight}) → ValueFrameTemplateLength(dTypes) → numStepsSequence((-10, -18) + ((3.5 * i) * u), i, 0, 6) → iconAnchorsSequence(Translate[ValueFrameTemplate, Vector[(-((vHeight * i)))]], i, 0, numSteps - 1) → ValueFramesSequence(Polygon[Element[iconAnchors, i], Element[iconAnchors, i + 1], 4], i, 1, 6, 2) → iconFramesPolygon({(left, bottom), (left, top), (right, top), (right, bottom)}) → viewboxElement(G3, caseNum) → A3Element(G4, caseNum) → A4Element(G5, caseNum) → A5Polygon({ToolAnchor - (2 * v) - u, ToolAnchor + (4.5 * v) - u, ToolAnchor + (4.5 * v) + (20 * u), ToolAnchor - (2 * v) + (20 * u)}) → toolBarUnitVector(Vector[A3, A4]) → uABUnitVector(Vector[A3, A5]) → uACUnitVector(Vector[A4, A5]) → uBCLaTeX((((("\text{\textbf{Question: }" * QUESTION) * "\\\textbf{Instructions: }") * INSTRUCTIONS) * "}")) → allInstrucSegment(A4, A5) → segBCElement(iconFrames, currentAction) → iconHighlighterPoint(studentAnswer) → lblStudentLineElement(ValueFrames, 1) → vFrame1Element(ValueFrames, 2) → vFrame2Element(ValueFrames, 3) → vFrame3Element(ValueFrames, 4) → vFrame4Element(ValueFrames, 5) → vFrame5Element(ValueFrames, 6) → vFrame6Element(ValueFrames, 7) → vFrame7Zip(Element[ValueFrames, A], A, selectedList) → highlightedItemsTableText({dDisplay}, "vc") → valueTblLine(A3, Midpoint[A4, A5]) → lineAUnitVector(Vector[A3, Midpoint[A4, A5]]) → uAETableText({Join[{{"\phantom{find the equation of a line through (-1,-3) with slope -5}"}, dSteps}]}, "vr") → stepsTableLine(A3, Midpoint[A4, A5]) → answerLineLineToSlopeForm1(answerLine) → testLineToSlopeForm1(answerLine) → answerStringSegment((-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。