负整数加法演示
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①本范例演示在数轴上如何进行负整数加法运算;②涉及的核心数学概念包括数轴、负整数、加法运算规则;③作图要点——使用了Segment(线段)、NumberLine(数轴)、Point(点)、Midpoint(中点)、Vector(向量)等GeoGebra命令与对象;④适合初中数学教学,用于帮助学生直观理解负整数加法的几何意义。
GeoGebra 命令及参数
Segment(StartPoint, EndPoint) → NumberLineTextfield(inputans) → InputBox1RandomElement({-10, -9, -8, -7, -6, -5, 5, 6, 7, 8, 9, 10}) → posintRandom(-15, -1) → negintSegment(Origin, (0, -3)) → connect1LaTeX(Text["\checkmark"]) → RightCheckLaTeX(Text["×"]) → WrongCheckText(negint + posint) → correctansPoint(Num1Height) → Num1PointPoint(Num2Height) → Num2PointSegment(Num2Point, (x(Num2Point), 0)) → connect3LaTeX(Text["Model\ the\ sum\ on\ the\ number\ line.\ Then,\,complete\ the\ addition\ statement."]) → Instructions1LaTeX(Text[position1]) → Highlight1DisplayLaTeX(Text[position2]) → Highlight2DisplaySegment(Num1Point, (x(Num1Point), 0)) → connect2Circle((i1, height), r) → C1Circle((i2, height), r) → C2Circle((i3, height), r) → C3Circle((i4, height), r) → C4Circle((i5, height), r) → C5Circle((i6, height), r) → C6Circle((i7, height), r) → C7Midpoint((0, 1.2), Num1Point) → Num1DisplayLocationMidpoint((x(Num1Point), 2.4), Num2Point) → Num2DisplayLocationSequence((i, 0), i, -30, 30, 1) → SmallTicksSequence((i, 0), i, -30, 30, 5) → TicksVector((0, 2), Num1Point) → negvectorVector((x(Num1Point), 4), Num2Point) → posvectorCircle((i8, height), r) → C8Circle((i9, height), r) → C9Circle((i10, height), r) → C10Circle((i0, height), r) → C0Circle((in1, height), r) → Cn1Circle((in2, height), r) → Cn2Sequence(Text[i, (i - 0.65, -1.7)], i, -30, 30, 5) → Numbers