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NS2-02-CYU1 合并同类项互动练习

NS2-02-CYU1 合并同类项互动练习
几何画板及绘图内容加载中，请稍等……
2019-01-08 22:32
函数数列变换函数图像
该范例是一个用于代数基础教学的互动练习，通过拖拽或点击匹配的方式，让学生将代数表达式中的同类项进行合并。核心数学概念是合并同类项，即把具有相同变量和指数的项相加或相减，简化多项式表达式。作图要点：利用GeoGebra的Sequence、Flatten、Shuffle等命令生成随机排列的项卡片，并通过Zip、Element、Text等命令创建文本标签和交互按钮；对象包括多个term变量、表格布局（colWidth、rowHeight等）以及用于反馈的cmark、xmark、TryAnother、HowDidIDo等控件。适合初中或高中代数入门阶段，用于课堂练习或自主复习，帮助学生巩固合并同类项的规则。

GeoGebra 命令及参数

  1. Sequence(Polygon[{tableAnchor + ((5 * colWidth), 0 - (rowHeight * i)), tableAnchor + ((6 * colWidth), 0 - (rowHeight * i)), tableAnchor + ((6 * colWidth), 0 - (rowHeight * i) - rowHeight), tableAnchor + ((5 * colWidth), ((-rowHeight) * i) - rowHeight)}], i, 0, lastRow - 1) → tableCol6
  2. Sequence(Polygon[{tableAnchor + ((3 * colWidth), 0 - (rowHeight * i)), tableAnchor + ((4 * colWidth), 0 - (rowHeight * i)), tableAnchor + ((4 * colWidth), 0 - (rowHeight * i) - rowHeight), tableAnchor + ((3 * colWidth), ((-rowHeight) * i) - rowHeight)}], i, 0, lastRow - 1) → tableCol4
  3. Sequence(Polygon[{tableAnchor + ((2 * colWidth), 0 - (rowHeight * i)), tableAnchor + ((3 * colWidth), 0 - (rowHeight * i)), tableAnchor + ((3 * colWidth), 0 - (rowHeight * i) - rowHeight), tableAnchor + ((2 * colWidth), ((-rowHeight) * i) - rowHeight)}], i, 0, lastRow - 1) → tableCol3
  4. Sequence(Polygon[{tableAnchor + (colWidth, 0 - (rowHeight * i)), tableAnchor + ((2 * colWidth), 0 - (rowHeight * i)), tableAnchor + ((2 * colWidth), 0 - (rowHeight * i) - rowHeight), tableAnchor + (colWidth, ((-rowHeight) * i) - rowHeight)}], i, 0, lastRow - 1) → tableCol2
  5. Sequence(Polygon[{tableAnchor + (0, 0 - (rowHeight * i)), tableAnchor + (colWidth, 0 - (rowHeight * i)), tableAnchor + (colWidth, 0 - (rowHeight * i) - rowHeight), tableAnchor + (0, ((-rowHeight) * i) - rowHeight)}], i, 0, lastRow - 1) → tableCol1
  6. Sequence(Polygon[{tableAnchor + ((4 * colWidth), 0 - (rowHeight * i)), tableAnchor + ((5 * colWidth), 0 - (rowHeight * i)), tableAnchor + ((5 * colWidth), 0 - (rowHeight * i) - rowHeight), tableAnchor + ((4 * colWidth), ((-rowHeight) * i) - rowHeight)}], i, 0, lastRow - 1) → tableCol5
  7. Flatten(Sequence[Sequence[(i, j), i, -8, -8 + (5 * (tileWidth + 1)), tileWidth + 1], j, 1, 1 - (2 * (tileHeight + 1)), (-tileHeight) - 1]) → fixedFrameAnchors
  8. Shuffle(fixedFrameAnchors) → shuffledFrameAnchors
  9. LaTeX(UnicodeToLetter[10003]) → cmark
  10. LaTeX(UnicodeToLetter[10007]) → xmark
  11. LaTeX((((("\text{" * QUESTION) * "\\") * INSTRUCTIONS) * "}")) → TEXT
  12. Zip(Polygon[A, A + (tileWidth, 0), A + (tileWidth, (-tileHeight)), A + (0, (-tileHeight))], A, shuffledFrameAnchors) → frames
  13. Element(frames, 1) → frame1
  14. Element(frames, 2) → frame2
  15. Element(frames, 3) → frame3
  16. Element(frames, 4) → frame4
  17. Element(frames, 5) → frame5
  18. Element(frames, 6) → frame6
  19. Element(frames, 7) → frame7
  20. Element(frames, 8) → frame8
  21. Element(frames, 9) → frame9
  22. Flatten(Zip[Sequence[Element[A, i], i, 2, 4], A, {tableCol1, tableCol2, tableCol3, tableCol4, tableCol5, tableCol6}]) → cells
  23. Element(cells, 1) → cell1
  24. Element(frames, activeTile) → highlightedTile
  25. Element(cells, 2) → cell2
  26. Element(cells, 3) → cell3
  27. Element(cells, 4) → cell4
  28. Element(cells, 5) → cell5
  29. Element(cells, 7) → cell7
  30. Element(cells, 8) → cell8
  31. Element(cells, 9) → cell9
  32. Element(cells, activeCell) → highlightedCell
  33. Element(tableCol1, 1) → col1HeaderCell
  34. Element(tableCol2, 1) → col2HeaderCell
  35. Element(tableCol3, 1) → col3HeaderCell
  36. Element(tableCol4, 1) → col4HeaderCell
  37. Element(cells, 6) → cell6
  38. Zip(Mod[A, 6] ≟ Mod[B, 6] ∧ Mod[B, 6] ≟ Mod[C, 6] ∧ A ≠ 0 ∧ B ≠ 0 ∧ C ≠ 0, A, Sequence[itemsInCells(i), i, 1, 16, 3], B, Sequence[itemsInCells(j), j, 2, 17, 3], C, Sequence[itemsInCells(k), k, 3, 18, 3]) → cellsCorrect
  39. Text("", tableAnchor + (0, (-rowHeight) - rowHeight / 3), true, true) → rowHeader1
  40. Text("", tableAnchor + (0, ((-rowHeight) * 2) - rowHeight / 3), true, true) → rowHeader2
  41. Text("", tableAnchor + (0, ((-rowHeight) * 3) - rowHeight / 3), true, true) → rowHeader3
  42. Element(cells, 10) → cell10
  43. Element(cells, 11) → cell11
  44. Element(cells, 12) → cell12
  45. Element(cells, 13) → cell13
  46. Element(cells, 14) → cell14
  47. Element(cells, 15) → cell15
  48. Element(cells, 16) → cell16
  49. Element(cells, 17) → cell17
  50. Element(cells, 18) → cell18
  51. Element(tableCol5, 1) → col5HeaderCell
  52. Element(tableCol6, 1) → col6HeaderCell
  53. Text("Group A", tableAnchor + (0.5, ((-rowHeight)) / 2)) → col1Header
  54. Text("Group B", tableAnchor + (0.5 + colWidth, ((-rowHeight)) / 2)) → col2Header
  55. Text("Group C", tableAnchor + (0.5 + (2 * colWidth), ((-rowHeight)) / 2)) → col3Header
  56. Text("Group D", tableAnchor + (0.5 + (3 * colWidth), ((-rowHeight)) / 2)) → col4Header
  57. Text("Group E", tableAnchor + (0.5 + (4 * colWidth), ((-rowHeight)) / 2)) → col5Header
  58. LaTeX("\text{You collected all the like terms.}") → feedback
  59. Element(frames, 10) → frame10
  60. Element(frames, 11) → frame11
  61. Element(frames, 12) → frame12
  62. Element(frames, 13) → frame13
  63. Element(frames, 14) → frame14
  64. Element(frames, 15) → frame15
  65. Element(frames, 16) → frame16
  66. Element(frames, 17) → frame17
  67. Element(frames, 18) → frame18
  68. Text("Group F", tableAnchor + (0.5 + (5 * colWidth), ((-rowHeight)) / 2)) → col6Header
  69. Zip(Text[If[A, cmark, ""], Vertex[B, 2] + symbolOffset], A, cellsCorrect, B, {col1HeaderCell, col2HeaderCell, col3HeaderCell, col4HeaderCell, col5HeaderCell, col6HeaderCell}) → cmarkList
  70. Zip(Text[If[¬A, xmark, ""], Vertex[B, 2] + symbolOffset], A, cellsCorrect, B, {col1HeaderCell, col2HeaderCell, col3HeaderCell, col4HeaderCell, col5HeaderCell, col6HeaderCell}) → xmarkList

AI 绘图提示语参考

绘制一个用于代数同类项合并练习的交互式表格界面。表格由六列多行组成，每列顶部有标题单元格，下方是若干空白单元格。在表格上方显示问题文本和操作说明。在表格右侧或下方，随机排列九个方形卡片，每个卡片内包含一个代数项（如含变量的项）。卡片位置随机打乱，用户需将卡片拖放到表格的对应单元格中，以完成同类项分组。表格中某些单元格可高亮显示，表示当前选中或待放置位置。界面包含用于检查答案、重新出题和初始化练习的按钮，以及正确和错误标记符号。整体布局整齐，适合教学练习。
以上提示语为根据原始绘图命令整理而来，仅供参考。