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用条形图找百分比关系中的缺失值

用条形图找百分比关系中的缺失值
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2023-07-28 00:26
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本范例演示如何使用条形图（Tape Diagram）求解百分比关系中的缺失值，包括缺失的总数、部分值或百分比。核心数学概念包括百分比的定义、部分与整体的比例关系、以及通过几何直观理解百分比。构造要点：利用Polygon命令绘制条形图框架，通过Textfield和InputBox创建交互式输入框实现用户输入，使用Sequence和Random命令生成随机练习题，结合validate验证功能和showanswer显示答案，支持用户输入正确答案后查看完整解答过程。本资源适合6-8年级学生练习百分比的计算与估算，可用于课堂教学或课后复习，帮助学生建立数感和百分比思维。

GeoGebra 命令及参数

  1. Shuffle(Sequence[t, t, 20, 200, 10]) → allWhole, {170, 110, 160, 50, 40, 150, 200, 130, 120, 70, 90, 140, 60, 20, 180, 80, 100, 30, 190}
  2. Shuffle(Sequence[t, t, 6, 80, 1]) → allPerc, {60, 79, 38, 13, 59, 11, 36, 78, 33, 73, 55, 14, 46, 67, 22, 53, 68, 63, 74, 75, 39, 54, 8, 28, 20, 69, 16, 65, 56, 24, 70, 35, 77, 41, 34, 37, 44, 49, 45, 17, 25, 48, 72, 15, 61, 58, 80, 19, 10, 62, 66, 32, 40, 51, 23, 31, 50, 7, 6, 57, 43, 29, 52, 18, 47, 42, 21, 27, 76, 71, 30, 12, 64, 9, 26}
  3. Shuffle({1, 2, 3}) → allCases, {3, 1, 2}
  4. Element(allCases, Mod[countQuestion, Length[allCases]] + 1) → caseNum
  5. Element(allWhole, Mod[countQuestion, Length[allWhole]] + 1) → whole
  6. Element(allPerc, Mod[countQuestion, Length[allPerc]] + 1) → perc
  7. IsInteger(perc / 10) → multTenPerc
  8. Textfield(input1) → InputBox1
  9. TextToUnicode(InputBox1 + "") → userUni
  10. Sequence(Random[0, 99] / 100, A, 1, 200) → allRandomSeeds, {0.16, 0.19, 0.55, 0.31, 0.55, 0.84, 0.37, 0.15, 0.96, 0.17, 0.03, 0.83, 0.76, 0.19, 0.12, 0.57, 0.51, 0.98, 0.01, 0.31, 0.63, 0.06, 0.56, 0.48, 0.37, 0.5, 0.21, 0.14, 0.15, 0.26, 0.66, 0.68, 0.51, 0.69, 0.36, 0.44, 0.29, 0.09, 0.25, 0.46, 0.94, 0.59, 0.28, 0.63, 0.45, 0.36, 0.85, 0.08, 0.58, 0.07, 0.74, 0.15, 0.09, 0.02, 0.07, 0.12, 0.13, 0.82, 0.44, 0.86, 0.91, 0.66, 0.72, 0.18, 0.95, 0.4, 0.18, 0.93, 0.13, 0.04, 0.07, 0.33, 0.21, 0.83, 0.22, 0.01, 0.69, 0.92, 0.22, 0.61, 0.24, 0.58, 0.66, 0.74, 0.52, 0.25, 0.63, 0.47, 0.04, 0.71, 0.82, 0.1, 0.2, 0.83, 0.77, 0.11, 0.87, 0.01, 0.17, 0.34, 0.12, 0.25, 0.09, 0.25, 0.25, 0.22, 0.74, 0.96, 0.09, 0.43, 0.43, 0.4, 0.63, 0.16, 0.16, 0.43, 0.44, 0.64, 0.4, 0.97, 0.66, 0.4, 0.48, 0.25, 0, 0.84, 0.07, 0.64, 0.39, 0.74, 0.19, 0.92, 0.54, 0.07, 0.26, 0.9, 0.54, 0.14, 0.39, 0.24, 0.52, 0.24, 0.83, 0.52, 0.69, 0.7, 0.37, 0.82, 0.69, 0.06, 0.58, 0.9, 0.67, 0.61, 0.73, 0.15, 0.32, 0.1, 0.15, 0.77, 0.47, 0.4, 0.34, 0.37, 0.5, 0.86, 0.18, 0.67, 0.48, 0, 0.89, 0.73, 0.75, 0.99, 0.08, 0.55, 0.04, 0.5, 0.15, 0.83, 0.82, 0.56, 0.4, 0.21, 0.27, 0.53, 0.54, 0.13, 0.31, 0.56, 0.13, 0.1, 0.19, 0.48, 0.58, 0.47, 0.85, 0.39, 0.2, 0.57}
  11. Take(allRandomSeeds, randIndex, randIndex + numRandoms - 1) → currentRandomSeeds
  12. Textfield(input2) → InputBox2
  13. 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
  14. Corner(5) → layoutAppSize
  15. Segment(PMoveA, PMoveB) → displaySegment
  16. expandSegment(PMoveA, PMoveB, (pulsing * 7), Corner[1], Corner[3], Corner[5]) → pulsingObject
  17. onboardingTextOffset(Corner[onboardingText, 1], Corner[onboardingText, 3], onboardingCase, Corner[1], Corner[3], Corner[5]) → OnboardingTextOffset
  18. If(caseNum ≟ 1, 90, caseNum ≟ 2, 75, 100) → positionInputX
  19. Polygon(A, B, C, D) → tape, a, b, c, d
  20. Polygon(A, AP, CP, D) → tapeBit, a_1, ap, cp, d_1
  21. Polygon(A, B, C, D) → tapeFrame, a_2, b_1, c_1, d_2
  22. Sequence((("" * t) * "\%"), t, 10, 90, 10) → allLabelsBenchDown
  23. Sequence((x(A) + (t * factor), y(A) - 1), t, 1, 10, 1) → positionBenchDown
  24. Zip(Text[("" * A), B, false, true, 0, 0], A, allLabelsBenchDown, B, positionBenchDown + (0.15, -0.2)) → labelsBenchDown
  25. Sequence((whole * t / 10), t, 1, 9, 1) → allLabelsBenchUp, {17, 34, 51, 68, 85, 102, 118.99999999999999, 136, 153}
  26. Sequence((x(A) + (t * factor), y(D) + 1.5), t, 1, 9, 1) → positionBenchUp
  27. Zip(Text[("" * A), B, false, true, 0, 0], A, allLabelsBenchUp, B, positionBenchUp) → labelsBenchUp
  28. Sequence(Segment[(x(A) + (factor * t), y(A) + If[caseNum ≟ 3, -1, 0]), (x(A) + (t * factor), y(D) + If[caseNum ≟ 3, 0, 1])], t, 1, 9, 1) → allBench

AI 绘图提示语参考

画一个百分比关系的带状图，展示如何找到缺失的值。包含一个整体和一个百分比，用带状图表示它们的关系。带状图分为上下两部分，上部标有从10%到90%的百分比标签，下部标有从10%到90%的百分比标签。整体值和百分比值随机生成，并显示在带状图旁边。带状图使用多边形工具绘制，整体和部分使用不同颜色区分，并带有动态效果。
以上提示语为根据原始绘图命令整理而来，仅供参考。