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算盘演示

算盘演示
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2020-07-09 12:10
三角函数解析几何几何作图滑块动画
①本范例演示了算盘的构造与基本操作；②涉及核心数学概念包括加法、算术运算、积分、差值与斜率、三角函数等；③构造中使用了If、koralik、Sequence等GeoGebra命令与对象，如EE9、NEE9、AA9等算珠对象；④适合初中及以上数学教学，用于演示基础算术运算与几何概念。

GeoGebra 命令及参数

  1. If(y(EE9) ≟ -11, 0, 1) → NEE9
  2. If(y(AA9) ≟ -3, 0, 1) → NAA9
  3. If(y(BB9) ≟ -5, 0, 1) → NBB9
  4. If(y(CC9) ≟ -7, 0, 1) → NCC9
  5. If(y(DD9) ≟ -9, 0, 1) → NDD9
  6. If(y(E9) ≟ 11, 5, 0) → J9
  7. If(y(D9) ≟ 5, 0, 1) → I9
  8. If(y(C9) ≟ 3, 0, 1) → H9
  9. If(y(B9) ≟ 1, 0, 1) → G9
  10. If(y(A9) ≟ -1, 0, 1) → F9
  11. If(y(BB8) ≟ -5, 0, 1) → NBB8
  12. If(y(CC8) ≟ -7, 0, 1) → NCC8
  13. If(y(DD8) ≟ -9, 0, 1) → NDD8
  14. If(y(EE8) ≟ -11, 0, 1) → NEE8
  15. If(y(AA8) ≟ -3, 0, 1) → NAA8
  16. If(y(E8) ≟ 11, 5, 0) → J8
  17. If(y(D8) ≟ 5, 0, 1) → I8
  18. If(y(C8) ≟ 3, 0, 1) → H8
  19. If(y(B8) ≟ 1, 0, 1) → G8
  20. If(y(A8) ≟ -1, 0, 1) → F8
  21. If(y(CC7) ≟ -7, 0, 1) → NCC7
  22. If(y(DD7) ≟ -9, 0, 1) → NDD7
  23. If(y(EE7) ≟ -11, 0, 1) → NEE7
  24. If(y(AA7) ≟ -3, 0, 1) → NAA7
  25. If(y(BB7) ≟ -5, 0, 1) → NBB7
  26. If(y(E7) ≟ 11, 5, 0) → J7
  27. If(y(D7) ≟ 5, 0, 1) → I7
  28. If(y(C7) ≟ 3, 0, 1) → H7
  29. If(y(B7) ≟ 1, 0, 1) → G7
  30. If(y(A7) ≟ -1, 0, 1) → F7
  31. If(y(DD6) ≟ -9, 0, 1) → NDD6
  32. If(y(EE6) ≟ -11, 0, 1) → NEE6
  33. If(y(AA6) ≟ -3, 0, 1) → NAA6
  34. If(y(BB6) ≟ -5, 0, 1) → NBB6
  35. If(y(CC6) ≟ -7, 0, 1) → NCC6
  36. If(y(E6) ≟ 11, 5, 0) → J6
  37. If(y(D6) ≟ 5, 0, 1) → I6
  38. If(y(C6) ≟ 3, 0, 1) → H6
  39. If(y(B6) ≟ 1, 0, 1) → G6
  40. If(y(A6) ≟ -1, 0, 1) → F6
  41. If(y(EE5) ≟ -11, 0, 1) → NEE5
  42. If(y(AA5) ≟ -3, 0, 1) → NAA5
  43. If(y(BB5) ≟ -5, 0, 1) → NBB5
  44. If(y(CC5) ≟ -7, 0, 1) → NCC5
  45. If(y(DD5) ≟ -9, 0, 1) → NDD5
  46. If(y(E5) ≟ 11, 5, 0) → J5
  47. If(y(D5) ≟ 5, 0, 1) → I5
  48. If(y(C5) ≟ 3, 0, 1) → H5
  49. If(y(B5) ≟ 1, 0, 1) → G5
  50. If(y(A5) ≟ -1, 0, 1) → F5
  51. If(y(EE4) ≟ -11, 0, 1) → NEE4
  52. If(y(AA4) ≟ -3, 0, 1) → NAA4
  53. If(y(BB4) ≟ -5, 0, 1) → NBB4
  54. If(y(CC4) ≟ -7, 0, 1) → NCC4
  55. If(y(DD4) ≟ -9, 0, 1) → NDD4
  56. If(y(E4) ≟ 11, 5, 0) → J4
  57. If(y(D4) ≟ 5, 0, 1) → I4
  58. If(y(C4) ≟ 3, 0, 1) → H4
  59. If(y(B4) ≟ 1, 0, 1) → G4
  60. If(y(A4) ≟ -1, 0, 1) → F4
  61. If(y(EE3) ≟ -11, 0, 1) → NEE3
  62. If(y(AA3) ≟ -3, 0, 1) → NAA3
  63. If(y(BB3) ≟ -5, 0, 1) → NBB3
  64. If(y(CC3) ≟ -7, 0, 1) → NCC3
  65. If(y(DD3) ≟ -9, 0, 1) → NDD3
  66. If(y(E3) ≟ 11, 5, 0) → J3
  67. If(y(D3) ≟ 5, 0, 1) → I3
  68. If(y(C3) ≟ 3, 0, 1) → H3
  69. If(y(B3) ≟ 1, 0, 1) → G3
  70. If(y(A3) ≟ -1, 0, 1) → F3
  71. If(y(AA2) ≟ -3, 0, 1) → NAA2
  72. If(y(BB2) ≟ -5, 0, 1) → NBB2
  73. If(y(CC2) ≟ -7, 0, 1) → NCC2
  74. If(y(DD2) ≟ -9, 0, 1) → NDD2
  75. If(y(EE2) ≟ -11, 0, 1) → NEE2
  76. If(y(E2) ≟ 11, 5, 0) → J2
  77. If(y(D2) ≟ 5, 0, 1) → I2
  78. If(y(C2) ≟ 3, 0, 1) → H2
  79. If(y(B2) ≟ 1, 0, 1) → G2
  80. If(y(A2) ≟ -1, 0, 1) → F2
  81. If(y(AA1) ≟ -3, 0, 1) → NAA1
  82. If(y(BB1) ≟ -5, 0, 1) → NBB1
  83. If(y(CC1) ≟ -7, 0, 1) → NCC1
  84. If(y(DD1) ≟ -9, 0, 1) → NDD1
  85. If(y(EE1) ≟ -11, 0, 1) → NEE1
  86. If(y(E1) ≟ 11, 5, 0) → J1
  87. If(y(D1) ≟ 5, 0, 1) → I1
  88. If(y(C1) ≟ 3, 0, 1) → H1
  89. If(y(B1) ≟ 1, 0, 1) → G1
  90. If(y(A1) ≟ -1, 0, 1) → F1
  91. koralik(A1) → K1
  92. koralik(B1) → L1
  93. koralik(C1) → M1
  94. koralik(D1) → N1
  95. koralik(E1) → O1
  96. Sequence(Segment[(i, 10), (i, 14)], i, -9, 31, 5) → lista1
  97. koralik(A2) → K2
  98. koralik(B2) → L2
  99. koralik(C2) → M2
  100. koralik(D2) → N2
  101. koralik(E2) → O2
  102. koralik(A3) → K3
  103. koralik(B3) → L3
  104. koralik(C3) → M3
  105. koralik(D3) → N3
  106. koralik(E3) → O3
  107. koralik(A4) → K4
  108. koralik(B4) → L4
  109. koralik(C4) → M4
  110. koralik(D4) → N4
  111. koralik(E4) → O4
  112. koralik(A5) → K5
  113. koralik(B5) → L5
  114. koralik(C5) → M5
  115. koralik(D5) → N5
  116. koralik(E5) → O5
  117. koralik(A6) → K6
  118. koralik(B6) → L6
  119. koralik(C6) → M6
  120. koralik(D6) → N6
  121. koralik(E6) → O6
  122. koralik(A7) → K7
  123. koralik(B7) → L7
  124. koralik(C7) → M7
  125. koralik(D7) → N7
  126. koralik(E7) → O7
  127. koralik(A8) → K8
  128. koralik(B8) → L8
  129. koralik(C8) → M8
  130. koralik(D8) → N8
  131. koralik(E8) → O8
  132. koralik(A9) → K9
  133. koralik(B9) → L9
  134. koralik(C9) → M9
  135. koralik(D9) → N9
  136. koralik(E9) → O9
  137. If(P8 > 0 ∨ P7 + P6 + P5 + P4 + P3 + P2 + P1 > 0, "" + P8, "") → Q8
  138. If(P7 > 0 ∨ P6 + P5 + P4 + P3 + P2 + P1 > 0, "" + P7, "") → Q7
  139. If(P6 > 0 ∨ P5 + P4 + P3 + P2 + P1 > 0, "" + P6, "") → Q6
  140. If(P5 > 0 ∨ P4 + P3 + P2 + P1 > 0, "" + P5, "") → Q5
  141. If(P4 > 0 ∨ P3 + P2 + P1 > 0, "" + P4, "") → Q4
  142. If(P3 > 0 ∨ P2 + P1 > 0, "" + P3, "") → Q3
  143. If(P2 > 0 ∨ P1 > 0, "" + P2, "") → Q2
  144. If(P1 > -10, "" + P1, "") → Q1
  145. koralik(EE1) → K1_1
  146. koralik(DD1) → K1_2
  147. koralik(CC1) → CC1_1
  148. koralik(BB1) → K1_4
  149. koralik(AA1) → K1_5
  150. koralik(EE2) → K1_6
  151. koralik(DD2) → K1_7
  152. koralik(CC2) → K1_8
  153. koralik(BB2) → K1_9
  154. koralik(AA2) → K1_{10}
  155. koralik(DD3) → K1_{11}
  156. koralik(CC3) → K1_{12}
  157. koralik(BB3) → K1_{13}
  158. koralik(AA3) → K1_{14}
  159. koralik(DD4) → K1_{15}
  160. koralik(CC4) → K1_{16}
  161. koralik(BB4) → K1_{17}
  162. koralik(AA4) → K1_{18}
  163. koralik(EE3) → K1_{19}
  164. koralik(DD5) → K1_{20}
  165. koralik(CC5) → K1_{21}
  166. koralik(BB5) → K1_{22}
  167. koralik(AA5) → K1_{23}
  168. koralik(EE4) → K1_{24}
  169. koralik(CC6) → K1_{25}
  170. koralik(BB6) → K1_{26}
  171. koralik(AA6) → K1_{27}
  172. koralik(EE5) → K1_{28}
  173. koralik(AA8) → K1_{29}
  174. koralik(BB7) → K1_{30}
  175. koralik(EE6) → K1_{31}
  176. koralik(DD6) → K1_{32}
  177. koralik(AA7) → K1_{33}
  178. koralik(EE8) → K1_{34}
  179. koralik(DD8) → K1_{35}
  180. koralik(CC8) → K1_{36}
  181. koralik(BB8) → K1_{37}
  182. koralik(EE7) → K1_{38}
  183. koralik(DD7) → K1_{39}
  184. koralik(CC7) → K1_{40}
  185. koralik(DD9) → K1_3
  186. koralik(CC9) → K1_{41}
  187. koralik(BB9) → K1_{42}
  188. koralik(AA9) → K1_{43}
  189. koralik(EE9) → K1_{44}
  190. Sequence(Segment[(i, (-If[a, 2, 12])), (i, 8)], i, -9, 31, 5) → lista2