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百分比可视化 by Shar Gayangos

百分比可视化 by Shar Gayangos
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2019-07-16 14:48
概率统计几何作图
①本范例通过动态图形演示百分比的几何表示与理解；②涉及核心数学概念包括百分比、面积、几何变换、条件概率；③作图要点：使用 Point, Intersect, Polygon, OrthogonalLine, PolyLine 等命令创建基础图形和变换；④适合初中及以上学生及数学爱好者用于直观学习百分比的几何意义和应用。

GeoGebra 命令及参数

  1. Point(yAxis) → A
  2. Intersect(xAxis, yAxis) → B
  3. Point(xAxis) → C
  4. Polygon(A, B, C, D) → q1, a, b, c, d
  5. Intersect(b, d) → F
  6. Intersect(b, xAxis) → G
  7. Intersect(d, b) → H
  8. Intersect(d, b) → E
  9. Point(b) → I
  10. OrthogonalLine(I, d) → f
  11. Intersect(f, b) → J
  12. Intersect(f, g) → K
  13. Polygon(A, B, I, K) → q2, a_1, b_1, i, k
  14. PolyLine((119.62389287202397, -0.005776767302525365), (NaN, NaN), (116.13067532268998, -0.0060176626157397335), (115.92519193743503, -0.00591442176721929), (115.51422516692516, -0.005811180918698847), (115.7197085521801, -0.005707940070178404), (115.7197085521801, -0.005570285605484479), (NaN, NaN), (115.10325839641527, -0.005811180918698847), (NaN, NaN), (115.10325839641527, -0.005811180918698847), (115.51422516692516, -0.00591442176721929), (119.62389287202397, -0.005776767302525365), (115.7197085521801, -0.006086489848086696), (116.13067532268998, -0.006258557928954102), (114.89777501116033, -0.006258557928954102), (113.45939131437575, -0.006258557928954102), (112.84294115861093, -0.006224144312780621), (112.2264910028461, -0.006155317080433658), (111.81552423233622, -0.006052076231913215), (111.19907407657139, -0.005983248999566253), (111.19907407657139, -0.005845594534872328), (111.40455746182634, -0.005742353686351885), (119.62389287202397, -0.005983248999566253), (112.02100761759115, -0.005707940070178404), true, (119.41840948676902, -0.006120903464260177), (119.00744271625915, -0.006258557928954102), (118.18550917523939, -0.006258557928954102), (117.36357563421961, -0.006258557928954102), (116.7471254784548, -0.006224144312780621), (116.7471254784548, -0.006086489848086696)) → stroke1

AI 绘图提示语参考

绘制一个由四个点A、B、C、D构成的四边形，其中A在y轴上，B在x轴和y轴的交点，C在x轴上，D是b线与d线的交点。接着，通过B、D、x轴和y轴的交点G形成新的四边形。然后，画出与D垂直的直线f，与b线和g线的交点分别为J和K，形成新的四边形。最后，使用一系列坐标点绘制一条曲线，模拟百分比的变化。
以上提示语为根据原始绘图命令整理而来，仅供参考。