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认识不同类型的分数

认识不同类型的分数
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2021-07-19 15:45
所属专题 Wiederholung I: Brüche - Begriffe & Arten
这个 GeoGebra 范例演示了如何认识不同类型的分数，包括真分数和假分数。它还涉及到分数的概念，包括分子和分母的关系。通过这个范例，学生可以了解不同类型的分数的特点，并学习如何区分它们。适合的学段是 5-6 年级。这个范例使用了 GeoGebra 的 Distance、Sequence、Point、Circle、Line、Intersect、Rotate、Segment、CircleSector、OrthogonalLine、SelectedIndex、Textfield、CountIf 和 Mod 等命令，对象包括 correctAnswersCount、P1LeftSlider、P2LeftSlider、sliderLeftSize、P1RightSlider、P2RightSlider、allowedPosRightSlider、sliderPRight、sliderRightS

GeoGebra 命令及参数

  1. Distance(P1LeftSlider, P2LeftSlider) → sliderLeftSize
  2. Sequence(P1RightSlider + ((i * Distance[P2RightSlider, P1RightSlider] / 12) * (1, 0)), i, 1, 12) → allowedPosRightSlider
  3. Point(allowedPosRightSlider) → sliderPRight
  4. Distance(P1RightSlider, P2RightSlider) → sliderRightSize
  5. Sequence(P1LeftSlider + ((i * Distance[P2LeftSlider, P1LeftSlider] / 36) * (1, 0)), i, 1, (3 * nennerVal)) → allowedPosLeftSlider
  6. Point(allowedPosLeftSlider) → sliderPLeft
  7. Circle(M, 2) → c
  8. Line(M, yAxis) → f
  9. Intersect(c, f) → C, D
  10. Rotate(D, ((-2 * pi / 360) * bruchwinkel), M) → D1
  11. Rotate(D1, ((-2 * pi / 360) * bruchwinkel), M) → D2
  12. Rotate(D2, ((-2 * pi / 360) * bruchwinkel), M) → D3
  13. Rotate(D3, ((-2 * pi / 360) * bruchwinkel), M) → D4
  14. Rotate(D4, ((-2 * pi / 360) * bruchwinkel), M) → D5
  15. Rotate(D5, ((-2 * pi / 360) * bruchwinkel), M) → D6
  16. Rotate(D6, ((-2 * pi / 360) * bruchwinkel), M) → D7
  17. Rotate(D7, ((-2 * pi / 360) * bruchwinkel), M) → D8
  18. Rotate(D8, ((-2 * pi / 360) * bruchwinkel), M) → D9
  19. Segment(M, D) → g
  20. Segment(M, D1) → h
  21. Segment(M, D2) → i
  22. Segment(M, D3) → j
  23. Segment(M, D4) → k
  24. Segment(M, D5) → l
  25. Segment(M, D6) → m
  26. Segment(M, D7) → n
  27. Segment(M, D8) → p
  28. Segment(M, D9) → q
  29. CircleSector(M, D1, D) → s1
  30. CircleSector(M, D2, D1) → s2
  31. CircleSector(M, D3, D2) → s3
  32. CircleSector(M, D4, D3) → s4
  33. CircleSector(M, D5, D4) → s5
  34. CircleSector(M, D6, D5) → s6
  35. CircleSector(M, D7, D6) → s7
  36. CircleSector(M, D8, D7) → s8
  37. CircleSector(M, D9, D8) → s9
  38. Rotate(D9, ((-2 * pi / 360) * bruchwinkel), M) → D10
  39. Segment(D10, M) → s
  40. Rotate(D10, ((-2 * pi / 360) * bruchwinkel), M) → D11
  41. Segment(D11, M) → t
  42. CircleSector(M, D10, D9) → s10
  43. CircleSector(M, D11, D10) → s11
  44. Rotate(D11, ((-2 * pi / 360) * bruchwinkel), M) → D12
  45. CircleSector(M, D12, D11) → s12
  46. Point(xAxis) → M2
  47. Circle(M2, 2) → d
  48. OrthogonalLine(M2, xAxis) → r
  49. Intersect(d, r) → B, E
  50. Segment(M2, E) → f_1
  51. Rotate(E, ((-2 * pi / 360) * bruchwinkel), M2) → E1
  52. Rotate(E1, ((-2 * pi / 360) * bruchwinkel), M2) → E2
  53. Rotate(E2, ((-2 * pi / 360) * bruchwinkel), M2) → E3
  54. Rotate(E3, ((-2 * pi / 360) * bruchwinkel), M2) → E4
  55. Rotate(E4, ((-2 * pi / 360) * bruchwinkel), M2) → E5
  56. Rotate(E5, ((-2 * pi / 360) * bruchwinkel), M2) → E6
  57. CircleSector(M2, E1, E) → c_1
  58. CircleSector(M2, E2, E1) → c_2
  59. CircleSector(M2, E3, E2) → c_3
  60. CircleSector(M2, E4, E3) → c_4
  61. CircleSector(M2, E5, E4) → c_5
  62. CircleSector(M2, E6, E5) → c_6
  63. Rotate(E6, ((-2 * pi / 360) * bruchwinkel), M2) → E7
  64. Rotate(E7, ((-2 * pi / 360) * bruchwinkel), M2) → E8
  65. Rotate(E8, ((-2 * pi / 360) * bruchwinkel), M2) → E9
  66. Rotate(E9, ((-2 * pi / 360) * bruchwinkel), M2) → E10
  67. Rotate(E10, ((-2 * pi / 360) * bruchwinkel), M2) → E11
  68. Rotate(E11, ((-2 * pi / 360) * bruchwinkel), M2) → E12
  69. CircleSector(M2, E7, E6) → c_7
  70. CircleSector(M2, E8, E7) → c_8
  71. CircleSector(M2, E9, E8) → c_9
  72. CircleSector(M2, E10, E9) → c_10
  73. CircleSector(M2, E11, E10) → c_11
  74. CircleSector(M2, E, E11) → c_12
  75. Segment(M2, E1) → b
  76. Segment(M2, E2) → e
  77. Segment(M2, E3) → g_1
  78. Segment(M2, E4) → h_1
  79. Segment(M2, E5) → i_1
  80. Segment(M2, E6) → j_1
  81. Segment(M2, E7) → k_1
  82. Segment(M2, E8) → l_1
  83. Segment(M2, E9) → m_1
  84. Segment(M2, E10) → n_1
  85. Segment(M2, E11) → p_1
  86. Point(xAxis) → M3
  87. Circle(M3, 2) → d_1
  88. Circle(M, 2) → ganze1
  89. Circle(M2, 2) → ganze2
  90. Circle(M3, 2) → ganze3
  91. OrthogonalLine(M3, xAxis) → q_1
  92. Intersect(d_1, q_1) → F, F0
  93. Segment(M3, F0) → r_1
  94. Rotate(F0, ((-2 * pi / 360) * bruchwinkel), M3) → F1
  95. Rotate(F1, ((-2 * pi / 360) * bruchwinkel), M3) → F2
  96. Rotate(F2, ((-2 * pi / 360) * bruchwinkel), M3) → F3
  97. Rotate(F3, ((-2 * pi / 360) * bruchwinkel), M3) → F4
  98. Rotate(F4, ((-2 * pi / 360) * bruchwinkel), M3) → F5
  99. Rotate(F5, ((-2 * pi / 360) * bruchwinkel), M3) → F6
  100. Rotate(F6, ((-2 * pi / 360) * bruchwinkel), M3) → F7
  101. Rotate(F7, ((-2 * pi / 360) * bruchwinkel), M3) → F8
  102. Rotate(F8, ((-2 * pi / 360) * bruchwinkel), M3) → F9
  103. Rotate(F9, ((-2 * pi / 360) * bruchwinkel), M3) → F10
  104. Rotate(F10, ((-2 * pi / 360) * bruchwinkel), M3) → F11
  105. Rotate(F11, ((-2 * pi / 360) * bruchwinkel), M3) → F12
  106. Segment(M3, F1) → s_1
  107. Segment(M3, F2) → t_1
  108. Segment(M3, F3) → a_1
  109. Segment(M3, F4) → b_1
  110. Segment(M3, F5) → e_1
  111. Segment(M3, F6) → f_2
  112. Segment(M3, F7) → g_2
  113. Segment(M3, F8) → h_2
  114. Segment(M3, F9) → i_2
  115. Segment(M3, F10) → j_2
  116. Segment(M3, F11) → k_2
  117. Segment(M3, F12) → l_2
  118. CircleSector(M3, F1, F0) → d_2
  119. CircleSector(M3, F2, F1) → e_2
  120. CircleSector(M3, F3, F2) → p_2
  121. CircleSector(M3, F4, F3) → q_2
  122. CircleSector(M3, F5, F4) → r_2
  123. CircleSector(M3, F6, F5) → s_2
  124. CircleSector(M3, F7, F6) → t_2
  125. CircleSector(M3, F8, F7) → d_3
  126. CircleSector(M3, F9, F8) → e_3
  127. CircleSector(M3, F10, F9) → f_3
  128. CircleSector(M3, F11, F10) → g_3
  129. CircleSector(M3, F12, F11) → h_3
  130. Segment(P1LeftSlider, P2LeftSlider) → sliderLeft
  131. Segment(P1RightSlider, P2RightSlider) → sliderRight
  132. SelectedIndex(echterBruchAuswahl) → echterBruchIndex
  133. SelectedIndex(unechterBruchAuswahl) → unechterBruchIndex
  134. Textfield(answerStammbruch) → InputBox1
  135. SelectedIndex(uneigentlicherBruchAuswahl) → uneigentlicherBruchIndex
  136. CountIf(x ≠ 0, anyQuestionVisible) → visible
  137. Mod(Zähler, Nenner) → mod