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找到相应的加法！

找到相应的加法！
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2022-07-11 17:23
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这个范例演示了如何找到两个分数的和。它涉及的核心数学概念是加法和分数。作图要点包括使用 GeoGebra 的 Shuffle、Element、Join 和 Segment 命令创建分数图形。这个范例适合 5-6 年级学生，帮助他们理解加法和分数的概念。

GeoGebra 命令及参数

  1. Shuffle(Sequence[Random[2, 12], i, 1, 100]) → randomNosForNenner, {4, 3, 5, 9, 11, 6, 6, 3, 7, 10, 11, 2, 12, 8, 4, 10, 5, 9, 7, 2, 12, 4, 3, 9, 9, 6, 2, 4, 10, 8, 11, 10, 11, 3, 2, 5, 10, 9, 4, 5, 8, 2, 11, 9, 4, 3, 11, 7, 9, 11, 10, 11, 9, 8, 5, 4, 12, 11, 4, 8, 3, 12, 3, 11, 8, 10, 6, 9, 11, 7, 12, 11, 3, 9, 7, 9, 4, 11, 10, 12, 10, 8, 5, 11, 8, 4, 8, 7, 8, 9, 9, 7, 7, 2, 12, 10, 6, 9, 4, 9}
  2. Element(randomNosForNenner, Mod[questionCount, 100] + 1) → nenner2
  3. Shuffle(Sequence[Random[1, nenner2 - 1], i, 1, 100]) → randomNosForZaehler2, {6, 6, 2, 1, 2, 3, 1, 4, 1, 3, 6, 2, 3, 1, 1, 1, 6, 4, 3, 2, 6, 6, 1, 5, 6, 5, 4, 6, 1, 3, 1, 6, 5, 2, 4, 1, 1, 5, 6, 6, 5, 4, 3, 4, 4, 2, 4, 2, 5, 6, 2, 1, 3, 6, 1, 5, 1, 4, 2, 1, 3, 1, 6, 4, 1, 6, 4, 4, 1, 5, 4, 4, 6, 4, 3, 5, 5, 4, 3, 2, 4, 5, 5, 5, 6, 5, 6, 6, 5, 6, 1, 6, 5, 4, 4, 4, 2, 1, 2, 3}
  4. Element(randomNosForZaehler2, Mod[questionCount, 100] + 1) → zaehler2
  5. Shuffle(Sequence[nenner2 - Random[zaehler2, nenner2 - 1], i, 1, 100]) → randomNosForZaehler3, {6, 1, 4, 4, 3, 6, 2, 5, 6, 1, 3, 3, 4, 6, 4, 6, 4, 5, 5, 6, 2, 3, 2, 6, 5, 4, 3, 6, 2, 1, 6, 6, 4, 2, 1, 4, 6, 2, 3, 2, 5, 2, 6, 5, 6, 2, 4, 1, 1, 5, 6, 2, 1, 4, 5, 5, 6, 1, 6, 6, 2, 5, 3, 5, 6, 3, 6, 5, 1, 1, 5, 3, 6, 3, 3, 4, 6, 4, 6, 2, 3, 3, 3, 5, 4, 1, 3, 6, 6, 2, 2, 1, 6, 3, 3, 4, 4, 2, 6, 2}
  6. Element(randomNosForZaehler3, Mod[questionCount, 100] + 1) → zaehler3
  7. Join({Sequence[Segment[F + ((i * widthZaehlerBar / 12), (-2 * hightLine)), F + ((i * widthZaehlerBar / 12), (2 * hightLine))], i, 0, 0], Sequence[Segment[F + ((i * widthZaehlerBar / 12), (-hightLine)), F + ((i * widthZaehlerBar / 12), hightLine)], i, 0, nenner2], Sequence[Segment[F + ((i * widthZaehlerBar / 12), (-2 * hightLine)), F + ((i * widthZaehlerBar / 12), (2 * hightLine))], i, nenner2, nenner2]}) → streckenStrecken2
  8. Last(streckenStrecken2) → referencePoint2
  9. Segment(F, P2) → q
  10. Circle(A_1, C) → d
  11. Mirror(Sequence[CircleSector[A_1, Rotate[K, (((-(i + 1)) * 2) * pi / nenner2), A_1], Rotate[K, ((i * (-2)) * pi / nenner2) - 0.0001, A_1]], i, 0, zaehler3 - 1], Line[A_1, A_1 + (0, 1)]) → sectors2
  12. Textfield(aInput) → InputBox5
  13. Textfield(bInput) → InputBox6
  14. Sequence(I + ((i * widthNennerBar / 12) * (1, 0)), i, 1, 12) → allowedPositionsNennerBar
  15. Point(allowedPositionsNennerBar) → PNenner
  16. Sequence(H_1 + ((i * widthZaehlerBar / 12) * (1, 0)), i, 0, nenner2) → allowedPositionsZaehlerBar1
  17. Point(allowedPositionsZaehlerBar1) → PZaehler1
  18. Sequence(H + ((i * widthZaehlerBar / 12) * (1, 0)), i, 0, nenner2) → allowedPositionsZaehlerBar
  19. Point(allowedPositionsZaehlerBar) → PZaehler
  20. Sequence(E + ((i * widthZaehlerBar / 12) * (1, 0)), i, -4, zaehler2, 0.5) → listeEx1
  21. Element(randomNosForZaehler2, Mod[questionCount, 100] + 1) → numX
  22. Element(randomNosForZaehler3, Mod[questionCount, 100] + 1) → numY
  23. Append(true, Sequence[If[randomNosForZaehler2(i) ≟ randomNosForZaehler2(i - 1), false, true], i, 2, 100]) → stayX
  24. Append(true, Sequence[If[randomNosForZaehler3(i) ≟ randomNosForZaehler3(i - 1), false, true], i, 2, 100]) → stayY
  25. Remove(Sequence[If[stayX(i), randomNosForZaehler2(i), 0], i, 1, 100], Sequence[0, i, 1, 100]) → randomNosForXwithoutRepeat
  26. Remove(Sequence[If[stayY(i), randomNosForZaehler3(i), 0], i, 1, 100], Sequence[0, i, 1, 100]) → randomNosForYwithoutRepeat
  27. Element(randomNosForXwithoutRepeat, Mod[questionCount, Length[randomNosForXwithoutRepeat]] + 1) → numXwithoutRepeat
  28. Element(randomNosForYwithoutRepeat, Mod[questionCount, Length[randomNosForYwithoutRepeat]] + 1) → numYwithoutRepeat
  29. Defined(input) → fixed1
  30. Circle(A, B) → c
  31. Segment(A, A + (Radius[c] * (0, 1))) → g
  32. Segment(I, I + (widthNennerBar * (1, 0))) → h
  33. Segment(H, H + (widthZaehlerBar * (1, 0))) → i
  34. Segment(H_1, H_1 + (widthZaehlerBar * (1, 0))) → j
  35. Sequence(Rotate[g, ((i * 2) * pi / nenner2), A], i, 0, nenner2 - 1) → StrechenLeftKreis
  36. Circle(A_2, D) → e
  37. Segment(A_1, A_1 + (Radius[d] * (0, 1))) → k
  38. Segment(A_2, A_2 + (Radius[e] * (0, 1))) → l
  39. Sequence(Rotate[l, ((i * 2) * pi / nenner2), A_2], i, 0, nenner2 - 1) → StreckenKreisRechts
  40. Sequence(CircleSector[A, Rotate[KreisOben, (((-(i + 1)) * 2) * pi / nenner2), A], Rotate[KreisOben, (((-i) * 2) * pi / nenner2) - 0.0001, A]], i, 0, zaehler2 - 1) → sectors1
  41. Sequence(CircleSector[A_2, Rotate[J, (((-(i + 1)) * 2) * pi / nenner2), A_2], Rotate[J, (((-i) * 2) * pi / nenner2) - 0.0001, A_2]], i, 0, zaehler3 - 1) → sectors3_2
  42. Join({Sequence[Segment[E + ((i * widthZaehlerBar / 12), (-2 * hightLine)), E + ((i * widthZaehlerBar / 12), (2 * hightLine))], i, 0, 0], Sequence[Segment[E + ((i * widthZaehlerBar / 12), (-hightLine)), E + ((i * widthZaehlerBar / 12), hightLine)], i, 0, nenner2], Sequence[Segment[E + ((i * widthZaehlerBar / 12), (-2 * hightLine)), E + ((i * widthZaehlerBar / 12), (2 * hightLine))], i, nenner2, nenner2]}) → streckenStrecken1
  43. Element(types, 4) → Text3
  44. Element(types, 4) → Text4
  45. Sequence(E + ((i * widthZaehlerBar / 12) * (1, 0)), i, 0, zaehler2) → streckenPunktLeft
  46. If(zaehler2 ≟ 1, E + ((1 / 12 * widthZaehlerBar) * (1, 0)), If[zaehler2 ≟ 2, E + ((2 / 12 * widthZaehlerBar) * (1, 0)), If[zaehler2 ≟ 3, E + ((3 / 12 * widthZaehlerBar) * (1, 0)), If[zaehler2 ≟ 4, E + ((4 / 12 * widthZaehlerBar) * (1, 0)), If[zaehler2 ≟ 5, E + ((5 / 12 * widthZaehlerBar) * (1, 0)), If[zaehler2 ≟ 6, E + ((6 / 12 * widthZaehlerBar) * (1, 0)), If[zaehler2 ≟ 7, E + ((7 / 12 * widthZaehlerBar) * (1, 0)), If[zaehler2 ≟ 8, E + ((8 / 12 * widthZaehlerBar) * (1, 0)), If[zaehler2 ≟ 9, E + ((9 / 12 * widthZaehlerBar) * (1, 0)), If[zaehler2 ≟ 10, E + ((10 / 12 * widthZaehlerBar) * (1, 0)), If[zaehler2 ≟ 11, E + ((11 / 12 * widthZaehlerBar) * (1, 0)), If[zaehler2 ≟ 12, E + ((12 / 12 * widthZaehlerBar) * (1, 0))]]]]]]]]]]]) → PExample
  47. Sequence(F + ((i * widthZaehlerBar / 12) * (1, 0)), i, 0, nenner2) → streckenPunktRight
  48. Sequence(F + ((i * widthZaehlerBar / 12) * (1, 0)), i, 1, zaehler3, 0.5) → listeEx2
  49. If(zaehler3 ≟ 1, F + ((1 / 12 * widthZaehlerBar) * (1, 0)), If[zaehler3 ≟ 2, F + ((2 / 12 * widthZaehlerBar) * (1, 0)), If[zaehler3 ≟ 3, F + ((3 / 12 * widthZaehlerBar) * (1, 0)), If[zaehler3 ≟ 4, F + ((4 / 12 * widthZaehlerBar) * (1, 0)), If[zaehler3 ≟ 5, F + ((5 / 12 * widthZaehlerBar) * (1, 0)), If[zaehler3 ≟ 6, F + ((6 / 12 * widthZaehlerBar) * (1, 0)), If[zaehler3 ≟ 7, F + ((7 / 12 * widthZaehlerBar) * (1, 0)), If[zaehler3 ≟ 8, F + ((8 / 12 * widthZaehlerBar) * (1, 0)), If[zaehler3 ≟ 9, F + ((9 / 12 * widthZaehlerBar) * (1, 0)), If[zaehler3 ≟ 10, F + ((10 / 12 * widthZaehlerBar) * (1, 0)), If[zaehler3 ≟ 11, F + ((11 / 12 * widthZaehlerBar) * (1, 0)), If[zaehler3 ≟ 12, F + ((12 / 12 * widthZaehlerBar) * (1, 0))]]]]]]]]]]]) → PExample1
  50. Segment(E, PExample) → m
  51. Segment(F, PExample1) → n
  52. Last(streckenStrecken1) → referencePoint1
  53. Segment(E, P1) → p
  54. Segment(G, L) → r
  55. Segment(M, N) → s
  56. Sequence(Segment[(x(M) + t, y(M)), (x(M) + t, y(M) + 2)], t, 0, nenner2 / 2, 0.5) → balken2
  57. Sequence(Segment[(x(G) + t, y(G)), (x(G) + t, y(G) + 2)], t, 0, nenner2 / 2, 0.5) → balken1
  58. Sequence(L + ((i * widthZaehlerBar / 8) * (1, 0)), i, 0, nenner2) → balkenPunkte1
  59. Sequence(G + ((i * widthZaehlerBar / 8) * (1, 0)), i, 0, nenner2) → balkenPunkte2
  60. Sequence(N + ((i * widthZaehlerBar / 8) * (1, 0)), i, 0, nenner2) → balkenPunkte3
  61. Sequence(M + ((i * widthZaehlerBar / 8) * (1, 0)), i, 0, nenner2) → balkenPunkte4
  62. Last(balkenPunkte1) → LastBalkenPunkte1
  63. Last(balkenPunkte2) → LastBalkenPunkte2
  64. Last(balkenPunkte3) → LastBalkenPunkte3
  65. Last(balkenPunkte4) → LastBalkenPunkte4
  66. Point(LastBalkenPunkte1) → O
  67. Segment(L, O) → t
  68. Point(LastBalkenPunkte2) → P
  69. Segment(G, P) → a
  70. Point(LastBalkenPunkte4) → Q
  71. Segment(M, Q) → b
  72. Point(LastBalkenPunkte3) → R
  73. Segment(N, R) → f_1
  74. Sequence(Polygon[(i, 5), (i + 0.5, 5), (i + 0.5, 7), (i, 7)], i, -5, zaehler2 / 2 - 5.5, 0.5) → l1
  75. Sequence(Polygon[(i, 5), (i + 0.5, 5), (i + 0.5, 7), (i, 7)], i, 2, zaehler3 / 2 + 1.5, 0.5) → l2
  76. Translate(sectors1, (schiebeSectors1, 0)) → sectors1'
  77. Join({Sequence[Segment[S + ((i * widthZaehlerBar / 12), (-2 * hightLine)), S + ((i * widthZaehlerBar / 12), (2 * hightLine))], i, 0, 0], Sequence[Segment[S + ((i * widthZaehlerBar / 12), (-hightLine)), S + ((i * widthZaehlerBar / 12), hightLine)], i, 0, nenner2], Sequence[Segment[S + ((i * widthZaehlerBar / 12), (-2 * hightLine)), S + ((i * widthZaehlerBar / 12), (2 * hightLine))], i, nenner2, nenner2]}) → streckenStrecken3
  78. Last(streckenStrecken3) → referencePoint3
  79. Segment(S, P3) → g_1
  80. Segment(T, U) → i_1
  81. Sequence(Segment[(x(U) + t, y(U)), (x(U) + t, y(U) + 2)], t, 0, nenner2 / 2, 0.5) → balken3
  82. Sequence(T + ((i * widthZaehlerBar / 8) * (1, 0)), i, 0, nenner2) → balkenPunkte5
  83. Sequence(U + ((i * widthZaehlerBar / 8) * (1, 0)), i, 0, nenner2) → balkenPunkte6
  84. Last(balkenPunkte5) → LastBalkenPunkte5
  85. Last(balkenPunkte6) → LastBalkenPunkte6
  86. Point(LastBalkenPunkte5) → V
  87. Point(LastBalkenPunkte6) → W
  88. Segment(T, V) → j_1
  89. Segment(U, W) → k_1
  90. Sequence(Polygon[(i, 5), (i + 0.5, 5), (i + 0.5, 7), (i, 7)], i, 8, zaehler2 / 2 + 5.5, 0.5) → l3
  91. Translate(l1, (schiebeBalken1, 0)) → l1'
  92. Translate(l2, (schiebeBalken2, 0)) → l2'
  93. Translate(E, (schiebeStrecke1, 0)) → E'
  94. Translate(PExample, (schiebeStrecke1, 0)) → PExample'
  95. Segment(E', PExample') → m'
  96. Translate(F, (schiebeStrecke2, 0)) → F'
  97. Translate(PExample1, (schiebeStrecke2, 0)) → PExample1'
  98. Segment(F', PExample1') → n'
  99. Last(balken1) → l4
  100. First(balken2) → l5
  101. Midpoint(strecke1) → Z
  102. Midpoint(strecke2) → B_1
  103. Last(balken2) → l6
  104. First(balken3) → l7
  105. Midpoint(strecke3) → C_1
  106. Midpoint(strecke4) → D_1
  107. Segment(Z, B_1) → h_1
  108. Segment(C_1, D_1) → l_1
  109. Midpoint(h_1) → E_1
  110. Midpoint(l_1) → F_1
  111. Last(streckenStrecken1) → l8
  112. First(streckenStrecken2) → l9
  113. Last(streckenStrecken2) → l10
  114. First(streckenStrecken3) → l11
  115. Point(l8) → G_1
  116. Point(l9) → I_1
  117. Segment(G_1, I_1) → m_1
  118. Point(l10) → J_1
  119. Point(l11) → K_1
  120. Segment(J_1, K_1) → n_1
  121. Midpoint(m_1) → L_1
  122. Midpoint(n_1) → M_1
  123. Translate(sectors2, (schiebeSectors2, 0)) → sectors2'
  124. Mirror(sectors2', gl2) → sectors2''
  125. Textfield(input11) → InputBox1
  126. Textfield(input21) → InputBox3
  127. Textfield(input12) → InputBox2
  128. Textfield(input22) → InputBox4
  129. Sequence(Sequence[PointInput + ((i * dxInput), (j * dyInput)), i, 0, 2], j, 0, 1) → PosInput, {{(-4.679075080954589, 2.471315735926265), (0.5009249190454108, 2.471315735926265), (5.6809249190454105, 2.471315735926265)}, {(-4.679075080954589, 1.291315735926265), (0.5009249190454108, 1.291315735926265), (5.6809249190454105, 1.291315735926265)}}
  130. Translate(PtopLeftCornerFeedback, (dxInput, 0)) → PtopLeftCornerFeedback'
  131. Translate(PtopRightCornerFeedback, (dxInput, 0)) → PtopRightCornerFeedback'
  132. Translate(PbottomRightCornerFeedback, (dxInput, 0)) → PbottomRightCornerFeedback'
  133. Translate(PbottomLeftCornerFeedback, (dxInput, 0)) → PbottomLeftCornerFeedback'
  134. Polygon(PtopLeftCornerFeedback', PtopRightCornerFeedback', PbottomRightCornerFeedback', PbottomLeftCornerFeedback') → rectangleCorrect', ptopleftcornerfeedback', ptoprightcornerfeedback', pbottomrightcornerfeedback', pbottomleftcornerfeedback'
  135. Translate(sectors1, (schiebeSectors1, 0)) → sectors1'white
  136. Translate(sectors2, (schiebeSectors2, 0)) → sectors2'white
  137. Textfield(zwInput1) → Eingabefeld1
  138. Textfield(zwInput2) → Eingabefeld2
  139. Textfield(zwInput3) → Eingabefeld3
  140. Mod(zaehler2 + zaehler3, nenner2) → solZahler2
  141. Mod(solZaehler, nenner2) → solZaehler2
  142. If(solGanze2 ≟ 1, zwInput1 ≟ solGanze2, solGanze2 > 1, zwInput2 ≟ solZahler2 ∧ zwInput3 ≟ nenner2, false) → correct51
  143. Segment(E, E + ((nenner2 * widthZaehlerBar / 12), 0)) → lineStrecken1
  144. Segment(F, F + ((nenner2 * widthZaehlerBar / 12), 0)) → lineStrecken2
  145. Segment(S, S + ((nenner2 * widthZaehlerBar / 12), 0)) → linieStrecke4
  146. Segment(S, S + ((nenner2 * widthZaehlerBar / 12), 0)) → lineStrecken3
  147. Sequence(Rotate[k, ((i * 2) * pi / nenner2), A_1], i, 0, nenner2 - 1) → StreckenKreisMitte
  148. Length(n) → lengthLila
  149. Length(lineStrecken3) → lengthGrey
  150. Distance(P, E') → PE'

AI 绘图提示语参考

画一个分数加法示例，展示两个分数相加的过程。首先绘制两个分数的条形图，每个条形图由多个小段组成，分别代表分数的分子和分母。然后，在两个条形图之间绘制相应的连接线段，表示分数的相加。最后，在图形下方添加输入框，用于输入两个分数的分子和分母，并在旁边显示计算结果。
以上提示语为根据原始绘图命令整理而来，仅供参考。