探索关系

几何画板及绘图内容加载中，请稍等……

2025-02-12 17:44

所属专题 Kreuztabellen

本范例展示了如何使用 GeoGebra 来探索关系。学生可以通过交互式图表来了解数据之间的联系，例如通过 Kreuztabellen 和 Vierfeldertafeln 来分析数据。核心数学概念包括数据分析和解释。作图要点包括使用 Element、SelectedIndex、Textfield、If、Join、Sequence、Text 和 PolyLine 等 GeoGebra 命令。适合的学段或用途包括 7-8 年级学生，特别是统计概率和图表分析的学习。

GeoGebra 命令及参数

Element(randomQuestions, Mod[questionCount - 1, Length[randomQuestions]] + 1) → randomQuestion
SelectedIndex(dropdown022) → input022
Textfield(input015) → InputBox015
Textfield(input025) → InputBox025
If(randomQuestion ≟ 1, correct01, randomQuestion ≟ 2, correct02, correct03) → correct
Textfield(input) → inputBox
Join({Sequence[Segment[Corner[4] + (RasterPixMat * ((k * RasterStepXY), 0)), Corner[4] + (RasterPixMat * ((k * RasterStepXY), RasterMaxY))], k, 0, RasterMaxX / RasterStepXY], Sequence[Segment[Corner[4] + (RasterPixMat * (0, (k * RasterStepXY))), Corner[4] + (RasterPixMat * (RasterMaxX, (k * RasterStepXY)))], k, 0, RasterMaxY / RasterStepXY]}) → RasterStrecken
Join({Sequence[Text[UnicodeToLetter[65 + k], Midpoint[Corner[4] + (RasterPixMat * ((k * RasterStepXY), RasterMaxY)), Corner[4] + (RasterPixMat * (((k + 1) * RasterStepXY), RasterMaxY))], false, true, 0, -1], k, 0, RasterMaxX / RasterStepXY - 1], Sequence[Text[("" * k), Midpoint[Corner[4] + (RasterPixMat * (RasterMaxX, ((k - 1) * RasterStepXY))), Corner[4] + (RasterPixMat * (RasterMaxX, (k * RasterStepXY)))], false, true, 1, 0], k, 1, RasterMaxY / RasterStepXY]}) → RasterBeschriftung
Sequence(Sequence[Corner[4] + (RasterPixMat * ((k * RasterStepXY), (m * RasterStepXY))), k, 0, RasterMaxX / RasterStepXY], m, 0, RasterMaxY / RasterStepXY) → RasterPunkte
Sequence(Sequence[PosTable + (Sum[ListSpalte, k], (-Sum[ListZeile, m])), k, 0, 4], m, 0, 4) → TablePosMat
Text((("\textsf{" * Element[AllTables(randomQuestion), 2, 3]) * "}"), Midpoint[TablePosMat(2, 3), TablePosMat(3, 3)] + (disX, disY), true, true, 1, 0) → Cap23
Text((("\textsf{" * Element[AllTables(randomQuestion), 2, 4]) * "}"), Midpoint[TablePosMat(2, 4), TablePosMat(3, 4)] + (disX, disY), true, true, 1, 0) → Cap24
Text((("\textsf{" * Element[AllTables(randomQuestion), 3, 2]) * "}"), Midpoint[TablePosMat(3, 2), TablePosMat(4, 2)] + (disX, disY), true, true, 1, 0) → Cap32
Text((("\textsf{" * Element[AllTables(randomQuestion), 3, 3]) * "}"), Midpoint[TablePosMat(3, 3), TablePosMat(4, 3)] + (disX, disY), true, true, 1, 0) → Cap33
Text((("\textsf{" * Element[AllTables(randomQuestion), 3, 4]) * "}"), Midpoint[TablePosMat(3, 4), TablePosMat(4, 4)] + (disX, disY), true, true, 1, 0) → Cap34
Text((("\textsf{" * Element[AllTables(randomQuestion), 4, 2]) * "}"), Midpoint[TablePosMat(4, 2), TablePosMat(5, 2)] + (disX, disY), true, true, 1, 0) → Cap42
Text((("\textsf{" * Element[AllTables(randomQuestion), 4, 3]) * "}"), Midpoint[TablePosMat(4, 3), TablePosMat(5, 3)] + (disX, disY), true, true, 1, 0) → Cap43
Text((("\textsf{" * Element[AllTables(randomQuestion), 2, 2]) * "}"), Midpoint[TablePosMat(2, 2), TablePosMat(3, 2)] + (disX, disY), true, true, 1, 0) → Cap22
Text((("\textsf{" * NumberSeparationComma[Element[AllTables(randomQuestion), 4, 4]]) * "}"), Midpoint[TablePosMat(4, 4), TablePosMat(5, 4)] + (disX, disY), true, true, 1, 0) → Cap44
Text(TitleList(randomQuestion), Midpoint[TablePosMat(1, 1) + (0, disTitleY), TablePosMat(1, 1) + (0, disTitleY + 1)], false, true, 1, 0) → CapTitle
PolyLine(PosSB, Corner[txt000, 1] + (-0.1, 0.75), Corner[txt000, 1] + (-0.1, 0), Corner[txt000, 2] + (0.1, 0), Corner[txt000, 3] + (0.1, 0.1), Corner[txt000, 4] + (-0.1, 0.1), Corner[txt000, 1] + (-0.1, 1.5), PosSB) → sb00
Textfield(input011) → InputBox011
Textfield(input012) → InputBox012
Textfield(input013) → InputBox013
Textfield(input014) → InputBox014
Textfield(input021) → InputBox021
Textfield(input023) → InputBox023
Textfield(input024) → InputBox024
Textfield(input026) → InputBox026
Textfield(input031) → InputBox031
Textfield(input032) → InputBox032
Textfield(input033) → InputBox033
Textfield(input034) → InputBox034
Textfield(input035) → InputBox035
If(randomQuestion ≟ 1, (¬calculated015) ∧ Defined[input011] ∧ Defined[input012] ∧ Defined[input013] ∧ Defined[input014] ∧ Defined[input015], randomQuestion ≟ 2, (¬calculated025) ∧ Defined[input021] ∧ input022 ≠ 1 ∧ Defined[input023] ∧ Defined[input024] ∧ Defined[input025] ∧ Defined[input026], randomQuestion ≟ 3, (¬calculated033) ∧ Defined[input031] ∧ Defined[input032] ∧ Defined[input033] ∧ Defined[input034] ∧ Defined[input035], false) → clickableBtnValidate
PolyLine(PosSB, Corner[txtGoal, 1] + (-0.1, 0.5), Corner[txtGoal, 1] + (-0.1, 0), Corner[txtGoal, 2] + (0.1, 0), Corner[txtGoal, 3] + (0.1, 0.1), Corner[txtGoal, 4] + (-0.1, 0.1), Corner[txtGoal, 1] + (-0.1, 1.25), PosSB) → sbGoal
If(correct, (-2.68, 0.88), randomQuestion ≟ 1 ∧ true ∈ CorrectList01 ∨ randomQuestion ≟ 2 ∧ true ∈ CorrectList02 ∨ randomQuestion ≟ 3 ∧ true ∈ CorrectList03, (-4.7, 0.9), (-2.44, 0.86)) → dimFB
If(randomQuestion ≟ 3, (0, -2), randomQuestion ≟ 1, (0, -3), (0, -2.75)) → PosHint2
Text(TableCapList21(randomQuestion), Midpoint[TablePosMat(2, 1), TablePosMat(3, 1)], false, true, 1, 0) → Cap21
Text(TableCapList12(randomQuestion), Midpoint[TablePosMat(1, 2), TablePosMat(2, 2)], false, true, 1, 0) → Cap12
Text(TableCapList13(randomQuestion), Midpoint[TablePosMat(1, 3), TablePosMat(2, 3)], false, true, 1, 0) → Cap13
Text("\textsf{\bold{Gesamt\vphantom{g}}}", Midpoint[TablePosMat(1, 4), TablePosMat(2, 4)], false, true, 1, 0) → Cap14
Text(TableCapList31(randomQuestion), Midpoint[TablePosMat(3, 1), TablePosMat(4, 1)], false, true, 1, 0) → Cap31
Text("\textsf{\bold{Gesamt\vphantom{g}}}", Midpoint[TablePosMat(4, 1), TablePosMat(5, 1)], false, true, 1, 0) → Cap41

AI 绘图提示语参考

绘制一个交互式统计图表，包含一个随机选择的四格表（交叉表），表格有行和列标题，以及对应的数值单元格。表格周围有网格线和坐标轴标签。页面包含多个输入框，用于填写表格中的数值，以及一个下拉菜单用于选择选项。还有一个验证按钮和反馈区域，根据用户输入显示正确或错误提示。表格上方有标题，旁边有提示文本。整体布局包括表格、输入框、按钮和反馈信息，用于探索数据关系。

以上提示语为根据原始绘图命令整理而来，仅供参考。