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成绩变化任务：统计相关性与几何变换演示

成绩变化任务：统计相关性与几何变换演示
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2017-06-17 17:55
解析几何概率统计变换几何作图
所属专题 LINEAR FUNCTIONS
本范例演示了成绩数据变化过程中统计特征与几何图形的动态关联。涉及的核心数学概念包括相关性分析、置信区间估计以及几何变换原理。作图要点在于利用 GeoGebra 的文本框、点、线、多边形、正交线及旋转文本命令构建交互式图表，实现数据可视化。适合高中或大学阶段的数学统计与几何课程教学，辅助理解抽象概念。

GeoGebra 命令及参数

  1. Textfield(a) → InputBox1
  2. Point(xAxis) → G
  3. Point(xAxis) → H
  4. Line(G, H) → f
  5. Point(yAxis) → I
  6. Point(yAxis) → J
  7. Line(I, J) → g
  8. Polygon((0, 0), (0, 120), (120, 120), (120, 0)) → poly1, j, k, l, m
  9. OrthogonalLine(K, g) → h
  10. OrthogonalLine(K, h) → i
  11. Textfield(c) → InputBox2
  12. Point(q) → M
  13. Textfield(r) → InputBox3
  14. Point(s) → R
  15. Textfield(d) → InputBox4
  16. RotateText("grade after change", 90°) → text12
  17. TableText({{A1, B1, C1}, {A2, B2, C2}, {A3, B3, C3}, {A4, B4, C4}, {A5, B5, C5}, {A6, B6, C6}, {A7, B7, C7}, {A8, B8, C8}, {A9, B9, C9}, {A10, B10, C10}, {A11, B11, C11}, {A12, B12, C12}, {A13, B13, C13}, {A14, B14, C14}, {A15, B15, C15}, {A16, B16, C16}, {A17, B17, C17}, {A18, B18, C18}, {A19, B19, C19}, {A20, B20, C20}, {A21, B21, C21}, {A22, B22, C22}}, "|_") → text8