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从表格值绘制线性关系

从表格值绘制线性关系
几何画板及绘图内容加载中，请稍等……
2018-11-27 23:45
函数解析几何函数图像
本范例演示如何使用表格值绘制直线。核心数学概念包括线性方程。作图要点包括使用GeoGebra命令Sequence、Polygon、Element、Zip等。适合初中及以上学生学习线性关系的绘制方法。

GeoGebra 命令及参数

  1. Sequence((i, -4.8), i, 14.5, 18.5, 1) → homeBasePoints
  2. Polygon((-9, -9), (-9, 9), (9, 9), (9, -9)) → viewBox, f, g, h, i
  3. Element(questionList, questionListIndex) → questionNum
  4. Element(C2:C5, questionNum) → currentXValues
  5. Element(B2:B5, questionNum) → currentYIntercept
  6. Element(A2:A11, questionNum) → currentSlope
  7. Zip(dottedCorrectLine(A), A, currentXValues) → currentYValues
  8. Zip(A ≟ B, A, usersPreTaskValues, B, currentYValues) → arePreTasksCorrect
  9. UnicodeToLetter(10007) → xmark
  10. UnicodeToLetter(10003) → cmark
  11. DynamicCoordinates(freeA, If[IsInRegion[freeA, viewBox], x(freeA), x(Element[homeBasePoints, 1])], If[IsInRegion[freeA, viewBox], y(freeA), y(Element[homeBasePoints, 1])]) → A
  12. DynamicCoordinates(freeB, If[IsInRegion[freeB, viewBox], x(freeB), x(Element[homeBasePoints, 2])], If[IsInRegion[freeB, viewBox], y(freeB), y(Element[homeBasePoints, 2])]) → B
  13. DynamicCoordinates(freeC, If[IsInRegion[freeC, viewBox], x(freeC), x(Element[homeBasePoints, 3])], If[IsInRegion[freeC, viewBox], y(freeC), y(Element[homeBasePoints, 3])]) → C
  14. DynamicCoordinates(freeD, If[IsInRegion[freeD, viewBox], x(freeD), x(Element[homeBasePoints, 4])], If[IsInRegion[freeD, viewBox], y(freeD), y(Element[homeBasePoints, 4])]) → D
  15. DynamicCoordinates(freeE, If[IsInRegion[freeE, viewBox], x(freeE), x(Element[homeBasePoints, 5])], If[IsInRegion[freeE, viewBox], y(freeE), y(Element[homeBasePoints, 5])]) → E
  16. Zip((A, B), A, currentXValues, B, currentYValues) → correctPoints
  17. LaTeX("\text{Points:}") → pointsLabel
  18. LaTeX("\text{Please plot all points.}") → feedbackPlotAllPoints
  19. Sequence(i, i, -8, 8, 4) → C3
  20. Sequence(i, i, -4, 4, 2) → C5
  21. FitPoly(usersPoints, 1) → usersLine
  22. LaTeX(Element[D2:D5, questionNum]) → displayEquation
  23. Zip("\vphantom{\tfrac{1}{2}}" + (A), A, currentXValues) → sizedXValues
  24. TableText({Join[{{"\cellcolor{#ffcc80}{x}"}, sizedXValues}], Join[{{"\cellcolor{#ffcc80}{y}"}, currentYValues}]}, "|_vc") → preTaskLabel
  25. Textfield(textPreTask1) → ansBoxPreTask1
  26. Textfield(textPreTask2) → ansBoxPreTask2
  27. Textfield(textPreTask3) → ansBoxPreTask3
  28. Textfield(textPreTask4) → ansBoxPreTask4
  29. Textfield(textPreTask5) → ansBoxPreTask5
  30. LaTeX("\text{Substitute the values of \(x\) into\\\(" + displayEquation + "\) and solve for the\\corresponding \(y\) values.}") → feedbackPreTask
  31. Zip("\vphantom{\tfrac{\tfrac{1}{2}}{3}}" + (If[¬A, ("y=" * B), ""]), A, arePreTasksCorrect, B, currentYValues) → hints
  32. TableText({hints}, "v") → preTaskLabelHint
  33. LaTeX("\text{\textbf{Question: } Graph the linear relation by \textbf{first} completing the table of values.\\\textbf{Instructions: }Complete the table of values. Then plot the points by dragging them\\onto the grid.}") → TEXT