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抛物线的垂直平移

抛物线的垂直平移
几何画板及绘图内容加载中，请稍等……
2018-11-07 03:51
函数三角函数变换
这个范例演示了抛物线的垂直平移现象。核心数学概念包括二次方程和变换。通过调整参数，可以观察到抛物线在垂直方向上的移动。主要使用了Zip, Element, SelectedIndex, Flatten, Point, Polygon, Sequence, Textfield, UnicodeToLetter, If等GeoGebra命令。适合高中数学教学和学习二次函数的图形变换。

GeoGebra 命令及参数

  1. Zip(abs(A), A, kValsNumeric) → kValsAbsolute
  2. Element(kValsNumeric, index + 1) → k
  3. Element(kValsAbsolute, index + 1) → absK
  4. SelectedIndex(dropDown) → selectedTranslation
  5. Flatten(Sequence[Sequence[(i, j), i, -3, 3, 0.5], j, -9, 9, 0.5]) → gridSpace
  6. Point(gridSpace) → E
  7. Point(gridSpace) → A
  8. Point(gridSpace) → B
  9. Point(gridSpace) → C
  10. Point(gridSpace) → D
  11. Zip((A, image(A)), A, xValues) → pointsImage
  12. Zip((A, original(A)), A, xValues) → pointsOriginal
  13. Polygon({(-3.5, 9.5), (3.5, 9.5), (3.5, -9.5), (-3.5, -9.5)}) → background
  14. Sequence(Line[(i, 0), yAxis], i, -3.5, 3.5, 1) → gridLinesVertical
  15. Sequence(Line[(0, i), xAxis], i, -9.5, 9.5, 1) → gridLinesHorizontal
  16. Textfield(unitsText) → inputUnits
  17. UnicodeToLetter(10003) → checkmark
  18. UnicodeToLetter(10007) → xmark
  19. If(isCorrectWholeThing, checkmark + " Correct!", xmark + " Incorrect") → verdict