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硬币模板

硬币模板
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2020-07-31 20:50
圆数列
该范例展示了硬币的几何形状和排列方式。涉及的核心数学概念包括数列和圆。通过使用GeoGebra命令如Element、Polygon、Sum等，可以构造硬币的排列。适合初中及以上学生学习数列和圆的相关知识。

GeoGebra 命令及参数

  1. Element(currencylist, currencyselector) → currencytext
  2. Polygon(W, A_1, K_3, L_3) → poly1, w, a_1, k_3, l_3
  3. Sum(Sequence[If[IsInRegion[(x(Element[pennypoints, i]) + Length[pennysize] / 2, y(Element[pennypoints, i]) + Length[pennysize] / 2), poly1], 1, 0], i, 1, 10]) → pennytotal
  4. Sum(Sequence[If[IsInRegion[(x(Element[dimepoints, i]) + Length[dimesize] / 2, y(Element[dimepoints, i]) + Length[dimesize] / 2), poly1], 10, 0], i, 1, 10]) → dimetotal
  5. Sum(Sequence[If[IsInRegion[(x(Element[quarterpoints, i]) + Length[quartersize] / 2, y(Element[quarterpoints, i]) + Length[quartersize] / 2), poly1], 25, 0], i, 1, 10]) → quartertotal
  6. Segment(N_3, O_3) → b
  7. Segment(N_3, P_3) → c
  8. Sequence(Circle[N_3 + ((i * b / 7) + b / 14, ((-c)) / 6), (Length[nickelsize] / 2 * 1.05)], i, 0, 6) → nickelcircles1
  9. Sequence(Circle[N_3 + ((i * b / 7) + b / 14, ((-c)) / 6 - c / 3), (Length[nickelsize] / 2 * 1.05)], i, 0, 6) → nickelcircles2
  10. Sequence(Circle[N_3 + ((i * b / 7) + b / 14, ((-c)) / 6 - (2 * c / 3)), (Length[nickelsize] / 2 * 1.05)], i, 0, 5) → nickelcircles3
  11. Sequence(Circle[N_3 + ((i * b / 5) + b / 10, ((-c)) / 4), (Length[dimesize] / 2 * 1.05)], i, 0, 4) → dimecircles1
  12. Sequence(Circle[N_3 + ((i * b / 5) + b / 10, (3 * ((-c)) / 4)), (Length[dimesize] / 2 * 1.05)], i, 0, 4) → dimecircles2
  13. Sequence(Circle[N_3 + (b / 8 + (i * b / 4), ((-c)) / 2), (Length[quartersize] / 2 * 1.05)], i, 0, 3) → quartercircles
  14. Sum(Sequence[If[IsInRegion[(x(Element[nickelpoints, i]) + Length[nickelsize] / 2, y(Element[nickelpoints, i]) + Length[nickelsize] / 2), poly1], 5, 0], i, 1, 20]) → nickeltotal
  15. Element(checkertext, 2 - (dimetotal + pennytotal + quartertotal + nickeltotal ≟ 100)) → affirmation