在交叉表中填写数值(绝对频数)交互练习

在交叉表中填写数值(绝对频数)交互练习
几何画板及绘图内容加载中,请稍等……
2025-01-22 21:26
所属专题 Kreuztabellen
该范例是一个面向初中生的交互式数学练习,演示如何在交叉表(Kreuztabellen)和四格表中正确填写绝对频数。核心数学概念是统计中的频数分布与交叉分类,学生需要根据给定的数据将数值填入表格的对应单元格中。作图要点方面,范例使用了GeoGebra的Join、Element、Textfield、Sequence、Text等命令,构建了多个表格对象(Table01至Table05)以及输入框(input22等),并通过随机题目生成(randomQuestions)和验证按钮(btnValidate)实现即时反馈,同时用correctCount和attemptCount跟踪答题情况。适合7-8年级学生用于统计与概率模块的课堂练习或自主训练,有助于巩固对绝对频数和交叉表结构的理解。

GeoGebra 命令及参数

  1. Join({{1}, Shuffle[{2, 3, 4}], {5}}) → randomQuestions
  2. Element(randomQuestions, Mod[questionCount - 1, Length[randomQuestions]] + 1) → randomQuestion
  3. Textfield(input) → inputBox
  4. Sequence(Sequence[PosTable + (Sum[ListSpalte, k], (-Sum[ListZeile, m])), k, 0, 4], m, 0, 4) → TablePosMat, {{(0.14, 4.12), (3.14, 4.12), (6.9399999999999995, 4.12), (10.74, 4.12), (13.24, 4.12)}, {(0.14, 3.12), (3.14, 3.12), (6.9399999999999995, 3.12), (10.74, 3.12), (13.24, 3.12)}, {(0.14, 2.12), (3.14, 2.12), (6.9399999999999995, 2.12), (10.74, 2.12), (13.24, 2.12)}, {(0.14, 1.12), (3.14, 1.12), (6.9399999999999995, 1.12), (10.74, 1.12), (13.24, 1.12)}, {(0.14, 0.1200000000000001), (3.14, 0.1200000000000001), (6.9399999999999995, 0.1200000000000001), (10.74, 0.1200000000000001), (13.24, 0.1200000000000001)}}
  5. Textfield(input22) → InputBox22
  6. Textfield(input23) → InputBox23
  7. Textfield(input24) → InputBox24
  8. Textfield(input32) → InputBox32
  9. Textfield(input33) → InputBox33
  10. Textfield(input34) → InputBox34
  11. Textfield(input42) → InputBox42
  12. Textfield(input43) → InputBox43
  13. Textfield(input44) → InputBox44
  14. Text((("\textsf{\bold{" * TableCapList12(randomQuestion)) * "\vphantom{g}}}"), Midpoint[TablePosMat(1, 2), TablePosMat(2, 2)], false, true, 1, 0) → TableCap12
  15. Text((("\textsf{\bold{" * TableCapList13(randomQuestion)) * "\vphantom{g}}}"), Midpoint[TablePosMat(1, 3), TablePosMat(2, 3)], false, true, 1, 0) → TableCap13
  16. Text("\textsf{\bold{Gesamt\vphantom{g}}}", Midpoint[TablePosMat(1, 4), TablePosMat(2, 4)], false, true, 1, 0) → TableCap14
  17. Text((("\textsf{\bold{" * TableCapList21(randomQuestion)) * "\phantom{g}}}"), Midpoint[TablePosMat(2, 1), TablePosMat(3, 1)], false, true, 1, 0) → TableCap21
  18. Text((("\textsf{\bold{" * TableCapList31(randomQuestion)) * "\phantom{g}}}"), Midpoint[TablePosMat(3, 1), TablePosMat(4, 1)], false, true, 1, 0) → TableCap31
  19. Text("\textsf{\bold{Gesamt\phantom{g}}}", Midpoint[TablePosMat(4, 1), TablePosMat(5, 1)], false, true, 1, 0) → TableCap41
  20. 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
  21. 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
  22. Sequence(Sequence[Corner[4] + (RasterPixMat * ((k * RasterStepXY), (m * RasterStepXY))), k, 0, RasterMaxX / RasterStepXY], m, 0, RasterMaxY / RasterStepXY) → RasterPunkte, {{(-0.3199999999999996, 10.179999999999977), (0.6820242914979755, 10.179999999999977), (1.6840485829959506, 10.179999999999977), (2.6860728744939264, 10.179999999999977), (3.688097165991901, 10.179999999999977), (4.690121457489877, 10.179999999999977), (5.692145748987852, 10.179999999999977), (6.694170040485827, 10.179999999999977), (7.6961943319838015, 10.179999999999977), (8.698218623481777, 10.179999999999977), (9.700242914979752, 10.179999999999977), (10.702267206477726, 10.179999999999977), (11.704291497975703, 10.179999999999977), (12.706315789473678, 10.179999999999977), (13.708340080971652, 10.179999999999977), (14.710364372469629, 10.179999999999977), (15.712388663967602, 10.179999999999977), (16.71441295546558, 10.179999999999977), (17.716437246963554, 10.179999999999977), (18.71846153846153, 10.179999999999977), (19.720485829959504, 10.179999999999977)}, {(-0.3199999999999996, 9.177493734335819), (0.6820242914979755, 9.177493734335819), (1.6840485829959506, 9.177493734335819), (2.6860728744939264, 9.177493734335819), (3.688097165991901, 9.177493734335819), (4.690121457489877, 9.177493734335819), (5.692145748987852, 9.177493734335819), (6.694170040485827, 9.177493734335819), (7.6961943319838015, 9.177493734335819), (8.698218623481777, 9.177493734335819), (9.700242914979752, 9.177493734335819), (10.702267206477726, 9.177493734335819), (11.704291497975703, 9.177493734335819), (12.706315789473678, 9.177493734335819), (13.708340080971652, 9.177493734335819), (14.710364372469629, 9.177493734335819), (15.712388663967602, 9.177493734335819), (16.71441295546558, 9.177493734335819), (17.716437246963554, 9.177493734335819), (18.71846153846153, 9.177493734335819), (19.720485829959504, 9.177493734335819)}, {(-0.3199999999999996, 8.174987468671661), (0.6820242914979755, 8.174987468671661), (1.6840485829959506, 8.174987468671661), (2.6860728744939264, 8.174987468671661), (3.688097165991901, 8.174987468671661), (4.690121457489877, 8.174987468671661), (5.692145748987852, 8.174987468671661), (6.694170040485827, 8.174987468671661), (7.6961943319838015, 8.174987468671661), (8.698218623481777, 8.174987468671661), (9.700242914979752, 8.174987468671661), (10.702267206477726, 8.174987468671661), (11.704291497975703, 8.174987468671661), (12.706315789473678, 8.174987468671661), (13.708340080971652, 8.174987468671661), (14.710364372469629, 8.174987468671661), (15.712388663967602, 8.174987468671661), (16.71441295546558, 8.174987468671661), (17.716437246963554, 8.174987468671661), (18.71846153846153, 8.174987468671661), (19.720485829959504, 8.174987468671661)}, {(-0.3199999999999996, 7.172481203007503), (0.6820242914979755, 7.172481203007503), (1.6840485829959506, 7.172481203007503), (2.6860728744939264, 7.172481203007503), (3.688097165991901, 7.172481203007503), (4.690121457489877, 7.172481203007503), (5.692145748987852, 7.172481203007503), (6.694170040485827, 7.172481203007503), (7.6961943319838015, 7.172481203007503), (8.698218623481777, 7.172481203007503), (9.700242914979752, 7.172481203007503), (10.702267206477726, 7.172481203007503), (11.704291497975703, 7.172481203007503), (12.706315789473678, 7.172481203007503), (13.708340080971652, 7.172481203007503), (14.710364372469629, 7.172481203007503), (15.712388663967602, 7.172481203007503), (16.71441295546558, 7.172481203007503), (17.716437246963554, 7.172481203007503), (18.71846153846153, 7.172481203007503), (19.720485829959504, 7.172481203007503)}, {(-0.3199999999999996, 6.169974937343345), (0.6820242914979755, 6.169974937343345), (1.6840485829959506, 6.169974937343345), (2.6860728744939264, 6.169974937343345), (3.688097165991901, 6.169974937343345), (4.690121457489877, 6.169974937343345), (5.692145748987852, 6.169974937343345), (6.694170040485827, 6.169974937343345), (7.6961943319838015, 6.169974937343345), (8.698218623481777, 6.169974937343345), (9.700242914979752, 6.169974937343345), (10.702267206477726, 6.169974937343345), (11.704291497975703, 6.169974937343345), (12.706315789473678, 6.169974937343345), (13.708340080971652, 6.169974937343345), (14.710364372469629, 6.169974937343345), (15.712388663967602, 6.169974937343345), (16.71441295546558, 6.169974937343345), (17.716437246963554, 6.169974937343345), (18.71846153846153, 6.169974937343345), (19.720485829959504, 6.169974937343345)}, {(-0.3199999999999996, 5.167468671679187), (0.6820242914979755, 5.167468671679187), (1.6840485829959506, 5.167468671679187), (2.6860728744939264, 5.167468671679187), (3.688097165991901, 5.167468671679187), (4.690121457489877, 5.167468671679187), (5.692145748987852, 5.167468671679187), (6.694170040485827, 5.167468671679187), (7.6961943319838015, 5.167468671679187), (8.698218623481777, 5.167468671679187), (9.700242914979752, 5.167468671679187), (10.702267206477726, 5.167468671679187), (11.704291497975703, 5.167468671679187), (12.706315789473678, 5.167468671679187), (13.708340080971652, 5.167468671679187), (14.710364372469629, 5.167468671679187), (15.712388663967602, 5.167468671679187), (16.71441295546558, 5.167468671679187), (17.716437246963554, 5.167468671679187), (18.71846153846153, 5.167468671679187), (19.720485829959504, 5.167468671679187)}, {(-0.3199999999999996, 4.164962406015029), (0.6820242914979755, 4.164962406015029), (1.6840485829959506, 4.164962406015029), (2.6860728744939264, 4.164962406015029), (3.688097165991901, 4.164962406015029), (4.690121457489877, 4.164962406015029), (5.692145748987852, 4.164962406015029), (6.694170040485827, 4.164962406015029), (7.6961943319838015, 4.164962406015029), (8.698218623481777, 4.164962406015029), (9.700242914979752, 4.164962406015029), (10.702267206477726, 4.164962406015029), (11.704291497975703, 4.164962406015029), (12.706315789473678, 4.164962406015029), (13.708340080971652, 4.164962406015029), (14.710364372469629, 4.164962406015029), (15.712388663967602, 4.164962406015029), (16.71441295546558, 4.164962406015029), (17.716437246963554, 4.164962406015029), (18.71846153846153, 4.164962406015029), (19.720485829959504, 4.164962406015029)}, {(-0.3199999999999996, 3.162456140350871), (0.6820242914979755, 3.162456140350871), (1.6840485829959506, 3.162456140350871), (2.6860728744939264, 3.162456140350871), (3.688097165991901, 3.162456140350871), (4.690121457489877, 3.162456140350871), (5.692145748987852, 3.162456140350871), (6.694170040485827, 3.162456140350871), (7.6961943319838015, 3.162456140350871), (8.698218623481777, 3.162456140350871), (9.700242914979752, 3.162456140350871), (10.702267206477726, 3.162456140350871), (11.704291497975703, 3.162456140350871), (12.706315789473678, 3.162456140350871), (13.708340080971652, 3.162456140350871), (14.710364372469629, 3.162456140350871), (15.712388663967602, 3.162456140350871), (16.71441295546558, 3.162456140350871), (17.716437246963554, 3.162456140350871), (18.71846153846153, 3.162456140350871), (19.720485829959504, 3.162456140350871)}, {(-0.3199999999999996, 2.1599498746867134), (0.6820242914979755, 2.1599498746867134), (1.6840485829959506, 2.1599498746867134), (2.6860728744939264, 2.1599498746867134), (3.688097165991901, 2.1599498746867134), (4.690121457489877, 2.1599498746867134), (5.692145748987852, 2.1599498746867134), (6.694170040485827, 2.1599498746867134), (7.6961943319838015, 2.1599498746867134), (8.698218623481777, 2.1599498746867134), (9.700242914979752, 2.1599498746867134), (10.702267206477726, 2.1599498746867134), (11.704291497975703, 2.1599498746867134), (12.706315789473678, 2.1599498746867134), (13.708340080971652, 2.1599498746867134), (14.710364372469629, 2.1599498746867134), (15.712388663967602, 2.1599498746867134), (16.71441295546558, 2.1599498746867134), (17.716437246963554, 2.1599498746867134), (18.71846153846153, 2.1599498746867134), (19.720485829959504, 2.1599498746867134)}, {(-0.3199999999999996, 1.1574436090225557), (0.6820242914979755, 1.1574436090225557), (1.6840485829959506, 1.1574436090225557), (2.6860728744939264, 1.1574436090225557), (3.688097165991901, 1.1574436090225557), (4.690121457489877, 1.1574436090225557), (5.692145748987852, 1.1574436090225557), (6.694170040485827, 1.1574436090225557), (7.6961943319838015, 1.1574436090225557), (8.698218623481777, 1.1574436090225557), (9.700242914979752, 1.1574436090225557), (10.702267206477726, 1.1574436090225557), (11.704291497975703, 1.1574436090225557), (12.706315789473678, 1.1574436090225557), (13.708340080971652, 1.1574436090225557), (14.710364372469629, 1.1574436090225557), (15.712388663967602, 1.1574436090225557), (16.71441295546558, 1.1574436090225557), (17.716437246963554, 1.1574436090225557), (18.71846153846153, 1.1574436090225557), (19.720485829959504, 1.1574436090225557)}, {(-0.3199999999999996, 0.15493734335839804), (0.6820242914979755, 0.15493734335839804), (1.6840485829959506, 0.15493734335839804), (2.6860728744939264, 0.15493734335839804), (3.688097165991901, 0.15493734335839804), (4.690121457489877, 0.15493734335839804), (5.692145748987852, 0.15493734335839804), (6.694170040485827, 0.15493734335839804), (7.6961943319838015, 0.15493734335839804), (8.698218623481777, 0.15493734335839804), (9.700242914979752, 0.15493734335839804), (10.702267206477726, 0.15493734335839804), (11.704291497975703, 0.15493734335839804), (12.706315789473678, 0.15493734335839804), (13.708340080971652, 0.15493734335839804), (14.710364372469629, 0.15493734335839804), (15.712388663967602, 0.15493734335839804), (16.71441295546558, 0.15493734335839804), (17.716437246963554, 0.15493734335839804), (18.71846153846153, 0.15493734335839804), (19.720485829959504, 0.15493734335839804)}, {(-0.3199999999999996, -0.8475689223057596), (0.6820242914979755, -0.8475689223057596), (1.6840485829959506, -0.8475689223057596), (2.6860728744939264, -0.8475689223057596), (3.688097165991901, -0.8475689223057596), (4.690121457489877, -0.8475689223057596), (5.692145748987852, -0.8475689223057596), (6.694170040485827, -0.8475689223057596), (7.6961943319838015, -0.8475689223057596), (8.698218623481777, -0.8475689223057596), (9.700242914979752, -0.8475689223057596), (10.702267206477726, -0.8475689223057596), (11.704291497975703, -0.8475689223057596), (12.706315789473678, -0.8475689223057596), (13.708340080971652, -0.8475689223057596), (14.710364372469629, -0.8475689223057596), (15.712388663967602, -0.8475689223057596), (16.71441295546558, -0.8475689223057596), (17.716437246963554, -0.8475689223057596), (18.71846153846153, -0.8475689223057596), (19.720485829959504, -0.8475689223057596)}, {(-0.3199999999999996, -1.850075187969919), (0.6820242914979755, -1.850075187969919), (1.6840485829959506, -1.850075187969919), (2.6860728744939264, -1.850075187969919), (3.688097165991901, -1.850075187969919), (4.690121457489877, -1.850075187969919), (5.692145748987852, -1.850075187969919), (6.694170040485827, 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AI 绘图提示语参考

这是一个用于练习在列联表中输入绝对频率的交互式表格图形。图形包含多个表格,每个表格有行和列,用于展示分类数据。用户可以在表格中输入绝对频率值,输入框位于表格单元格中。图形还包含一个随机问题生成器,可以随机生成一个统计问题,以及一个验证按钮,点击后提供即时反馈。图形还设有尝试和正确计数,用于形成性评估。整体设计适合初中生在统计和概率课程中练习数据整理和频率分布概念。
以上提示语为根据原始绘图命令整理而来,仅供参考。