积极 AI Logo 积极 AI

探索多边形的命名规律

探索多边形的命名规律
几何画板及绘图内容加载中，请稍等……
2023-08-01 18:00
测试改名0多边形角几何作图滑块动画
本范例通过互动方式探索多边形名称与边数之间的对应关系。核心数学概念包括多边形的定义、命名规则（希腊语词根表示边数）、四边形的分类及其层级属性。作图使用了Polygon命令绘制多种正多边形（三角形、正方形、六边形、八边形），结合Dilate进行缩放变换，Mirror进行镜像反射，Shuffle和Element实现随机抽取，If实现条件判断，并通过Slider实现动态交互。适合小学四至五年级学生理解多边形基本概念，或用于复习多边形命名规律的课堂活动。

GeoGebra 命令及参数

  1. Polygon(J_2, K_2, 8) → oct, oct1, F_1, G_1, H_1, I_1, J_1, oct2, oct3, oct4, oct5, oct6, oct7, oct8, E_1
  2. Polygon(H_2, I_2, 6) → hex, hex1, U, hex2, hex3, hex4, hex5, hex6, Q, R, S
  3. Polygon(F_2, G_2, 4) → squa, squa1, squa2, squa3, squa4, G, H
  4. Polygon(D, E, 3) → tri, tri1, tri2, tri3, F
  5. Polygon(PT1, PT2, 5) → pent, pent1, pent2, pent3, pent4, pent5, L, M, N
  6. Polygon(O, P, 7) → hept, hept1, Z, A_1, B_1, hept2, hept3, hept4, hept5, hept6, hept7, V, W
  7. Polygon(C_1, D_1, 9) → nona, nona1, K_1, L_1, M_1, N_1, O_1, P_1, Q_1, nona2, nona3, nona4, nona5, nona6, nona7, nona8, nona9
  8. Polygon(DP1, DP2, 10) → deca, deca1, deca10, V_1, W_1, Z_1, A_2, B_2, C_2, D_2, E_2, deca2, deca3, deca4, deca5, deca6, deca7, deca8, deca9
  9. If(sides ≟ 3, 1.30, 1.2) → dilF
  10. Dilate({tri1, tri2, tri3}, dilF, allCentr(3)) → allTriSidesD
  11. Zip(Midpoint[t], t, allTriSidesD) → allTriMid
  12. Dilate({squa1, squa2, squa3, squa4}, dilF, allCentr(4)) → allSquaSidesD
  13. Zip(Midpoint[t], t, allSquaSidesD) → allSquaMid
  14. Dilate({oct1, oct2, oct3, oct4, oct5, oct6, oct7, oct8}, dilF, allCentr(8)) → allOctSidesD
  15. Zip(Midpoint[t], t, allOctSidesD) → allOctMid
  16. Dilate({nona1, nona2, nona3, nona4, nona5, nona6, nona7, nona8, nona9}, dilF, allCentr(9)) → allNonaSidesD
  17. Zip(Midpoint[t], t, allNonaSidesD) → allNonaMid
  18. Dilate({hex1, hex2, hex3, hex4, hex5, hex6}, dilF, allCentr(6)) → allHexSidesD
  19. Zip(Midpoint[t], t, allHexSidesD) → allHexMid
  20. Dilate({hept1, hept2, hept3, hept4, hept5, hept6, hept7}, dilF, allCentr(7)) → allHeptSidesD
  21. Zip(Midpoint[t], t, allHeptSidesD) → allHeptMid
  22. Mirror(P1, yAxis) → P1'
  23. Mirror(P1', xAxis) → P1''
  24. Mirror(P1'', yAxis) → P1'''
  25. Polygon(P1, P1', P1'', P1''') → peep, p1, p1', p1'', p1'''
  26. SelectedIndex(ddMenu) → is
  27. Shuffle(Sequence[t, t, -18, 18]) → val1List, {-9, -11, 18, 16, -3, -12, -1, 6, -5, -2, -16, 17, 5, -14, 1, 4, 14, -17, 10, -10, -7, -13, -8, 9, 13, 15, 11, -4, 0, -18, -15, 12, 2, -6, 3, 8, 7}
  28. Element(val1List, Mod[countQuestion, Length[val1List]] + 1) → val1
  29. Dilate({pent1, pent2, pent3, pent4, pent5}, dilF, allCentr(4)) → allPentSidesD
  30. Zip(Midpoint[t], t, allPentSidesD) → allPentMid
  31. Dilate({deca1, deca2, deca3, deca4, deca5, deca6, deca7, deca8, deca9, deca10}, dilF, allCentr(4)) → allDecaSidesD
  32. Zip(Midpoint[t], t, allDecaSidesD) → allDecaMid

AI 绘图提示语参考

本提示语描述一个几何图形，包含多种正多边形，如三角形、正方形、六边形、八边形等。这些多边形通过缩放和反射操作相互关联，展示希腊数字前缀与多边形名称的对应关系。图形中还包含一些随机选择的元素，以体现动态交互。整体设计旨在帮助学生理解多边形的基本概念和命名约定，适合4-5年级学生使用。
以上提示语为根据原始绘图命令整理而来，仅供参考。