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在数轴上绘制不等式

在数轴上绘制不等式
几何画板及绘图内容加载中，请稍等……
2023-01-26 23:54
解析几何不等式函数图像
本范例演示如何在数轴上绘制不等式。涉及的核心数学概念是不等式符号（>、<、≤、≥、≠）及其在数轴上的表示。作图要点包括使用 GeoGebra 命令如 Shuffle、Point、Defined、Sequence、Zip、Polygon、Segment、Translate 等，适合 6-8 年级学生学习如何用符号表示和绘制简单不等式。

GeoGebra 命令及参数

  1. Shuffle(Sequence[-13, 13]) → randomList1, {4, -6, -12, -10, 2, -4, 12, 11, 8, -3, 7, -8, -9, 0, -2, -1, 1, 10, 9, -13, -7, 13, 6, 5, -5, 3, -11}
  2. Shuffle(Sequence[15]) → randomList2, {2, 1, 15, 14, 4, 9, 3, 10, 11, 13, 12, 6, 7, 8, 5}
  3. Shuffle({1, 2, 3, 4, 5, 1, 2, 3, 4, 5}) → randomIneq, {4, 3, 3, 1, 5, 1, 2, 4, 5, 2}
  4. Point(Sequence[(A, studentOffset), A, -14, 14]) → P2
  5. Element(randomIneq, Mod[countQuestion, Length[randomIneq]] + 1) → ineqType
  6. Defined(IndexOf[ineqType, {GREATER, GREATEROREQUAL, NOTEQUAL}]) → showRightBranch
  7. Point({ToggleLeftB, ToggleRightB}) → PToggleB
  8. Point({ToggleLeftA, ToggleRightA}) → PToggleA
  9. Defined(IndexOf[ineqType, {GREATER, LESS, NOTEQUAL}]) → expectedOpen
  10. Defined(IndexOf[ineqType, {LESS, LESSOREQUAL, NOTEQUAL}]) → showLeftBranch
  11. Element(randomList1, Mod[countQuestion, Length[randomList1]] + 1) → numA
  12. Sequence(minNumber, maxNumber) → allX
  13. Zip((A, y(Anchor)), A, allX) → allPositions
  14. Zip((("$\text{" * A) * " }$"), A, {"\phantom{left}", "to the left", "to the right", "in both directions"}) → selectArrows
  15. Element(randomList2, Mod[countQuestion, 15] + 1) → randomNum2
  16. Element(randomList1, Mod[countQuestion, 20] + 1) → randomNum1
  17. Polygon(Zip[PixelsToPoint[Corner[1], Corner[3], Corner[5], A], A, {(pixelsLeft, pixelsTop), (pixelsLeft, y(Corner[5]) - pixelsBottom), Corner[5] - (pixelsRight, pixelsBottom), (x(Corner[5]) - pixelsRight, pixelsTop)}]) → borderBox
  18. Corner(5) → layoutAppSize
  19. Segment(Anchor + (minNumber - 0.5, 0), Anchor + (maxNumber + 0.5, 0)) → numberLine
  20. Zip(Segment[(A, -0.2), (A, 0.2)], A, allX) → ticks
  21. Translate(ticks, vSoln) → solnTicks
  22. Translate(numberLine, vSoln) → solnLine
  23. Segment(PSoln, (x(Anchor) + maxNumber + 0.5, y(PSoln))) → solnRight
  24. Segment(PSoln, (x(Anchor) + minNumber - 0.5, y(PSoln))) → solnLeft
  25. Segment(P2, (x(Anchor) + minNumber - 0.5, studentOffset)) → leftBranch
  26. Segment(P2, (x(Anchor) + maxNumber + 0.5, studentOffset)) → rightBranch
  27. onboardingTextOffset(Corner[onboardingText, 1], Corner[onboardingText, 3], onboardingCase, Corner[1], Corner[3], Corner[5]) → OnboardingTextOffset
  28. circlePixels(P2, 7 + (pulsing * 7), Corner[1], Corner[3], Corner[5]) → pulsingObject
  29. Zip(Text[("" * A), (A + If[A < 0, -0.25, 0], -0.1), true, true, 0, -1], A, Sequence[minNumber + 1, maxNumber, 2]) → digits
  30. Zip(Text[("" * A), (A + If[A < 0, -0.25, 0], -0.1) + vSoln, true, true, 0, -1], A, Sequence[minNumber + 1, maxNumber, 2]) → digitsSoln

AI 绘图提示语参考

画一条数轴，从-14到14。在数轴上随机选择一个点P2，并从该点向左或向右或双向画一条线段。根据随机选择的不等式类型，在数轴上标出相应的开区间或闭区间。在数轴上随机选择一个数，标出该数的位置，并在数轴上标出该数的左右两侧的刻度。
以上提示语为根据原始绘图命令整理而来，仅供参考。