积极 AI Logo 积极 AI

五边形中的角

五边形中的角
几何画板及绘图内容加载中，请稍等……
2019-12-19 02:11
多边形角几何作图
本范例通过互动方式帮助学生练习在五边形中寻找未知角。涉及的核心数学概念是几何中的角。使用了 GeoGebra 的构造摘要中的命令，如 Angle, PolyLine, Polygon 等。适合初中及以上学生进行几何作图练习。

GeoGebra 命令及参数

  1. Shuffle(ones) → shuffledones, {(0.7782724958844813, 4.705501952086924), (1.3082555787419876, 4.909341599339812), (1.4509433318190084, 5.582012435274337), (0.9413442136867909, 5.357788823296162), (0.5540488839063056, 5.582012435274337)}
  2. Shuffle(twos) → shuffledtwos, {(4.834681476216933, 5.908155870878956), (4.604342674821173, 5.620945807899642), (5.030367537579707, 5.307032751130197), (5.635771289920782, 5.934858864669088), (4.6940321196124435, 6.271194282636352)}
  3. Shuffle(threes) → shuffledthrees, {(7.250181296163648, 3.3114426045244394), (7.070802406581107, 2.7284612133811827), (7.788317964911271, 4.07380288525023), (7.967696854493808, 3.0423742701506282), (7.341909137427444, 2.1982742908764217)}
  4. Angle(shuffledones(1), shuffledtwos(1), shuffledthrees(1)) → angle1
  5. Shuffle(fours) → shuffledfours, {(6.078785546809078, -0.3843342904970731), (4.452484480168232, -0.12506890306157667), (4.782458609631584, -0.6435996779325697), (5.348128545854486, -0.690738839284478), (5.221976805997419, -0.08472975835591141)}
  6. Angle(shuffledtwos(1), shuffledthrees(1), shuffledfours(1)) → angle2
  7. Shuffle(fives) → shuffledfives, {(1.0840319667638119, 0.24141367724870763), (1.940158485225937, -0.043961828905334024), (0.9413442136867909, -0.45164112341110757), (1.206335755115544, 0.893700548457945), (1.817854696874205, 0.5879410775786149)}
  8. Angle(shuffledfours(1), shuffledfives(1), shuffledones(1)) → angle4
  9. Angle(shuffledfives(1), shuffledones(1), shuffledtwos(1)) → angle5
  10. Angle(shuffledthrees(1), shuffledfours(1), shuffledfives(1)) → angle3
  11. Remove(allangles, unknown) → visibleangles
  12. Sum(visibleangles) → sum
  13. Unique(allpossible) → norepeats
  14. Remove(norepeats, gotit) → wrongs
  15. Shuffle(wrongs) → shuffledwrongs, {119*°, 79*°, 61*°}
  16. Shuffle(choices) → shuffledchoices, {"101°", "79°", "61°", "119°"}
  17. Append("$\textsf{Choose one}$", shuffledchoices) → userinput
  18. Corner(5) → dims
  19. PolyLine(pentpoints) → pentagon
  20. Polygon(shuffledones(1), shuffledtwos(1), shuffledthrees(1), shuffledones(1)) → q1, f, g, h, i
  21. Polygon(shuffledones(1), shuffledthrees(1), shuffledfours(1), shuffledones(1)) → q2, j, k, l, m
  22. Polygon(shuffledones(1), shuffledfours(1), shuffledfives(1), shuffledones(1)) → q3, n, p, q, r
  23. Angle(shuffledones(1), shuffledtwos(1), shuffledthrees(1)) → trueangle1

AI 绘图提示语参考

画一个五边形，随机生成五个顶点，并连接成封闭图形。在五边形内部，标出三个三角形，每个三角形包含两个相邻顶点和一条对角线，分别测量并标注三个三角形的内角。将所有内角求和，并从可能的答案中选择一个不正确的角度作为选项，让用户选择正确的角度。
以上提示语为根据原始绘图命令整理而来，仅供参考。