正棱锥模型

正棱锥模型
几何画板及绘图内容加载中,请稍等……
2016-03-27 13:11
该范例演示正棱锥的几何构造。涉及的核心数学概念包括正多边形、圆、角度和立体几何。通过使用GeoGebra命令如Point、Segment、Polygon和Pyramid,可以动态展示正棱锥的各个面和高度。适合初中及以上学生学习立体几何。

GeoGebra 命令及参数

  1. Point(a_1) → B
  2. Sequence(Rotate[B, ((2 * π / sides) * i), A], i, 0, sides) → list1
  3. Sequence(Segment[Element[list1, i], Element[list1, i + 1]], i, 0, sides) → list2
  4. Midpoint(Element[list2, 2]) → C
  5. Segment(A, C) → a
  6. Segment(A, B) → r
  7. Angle(A, C, B) → α
  8. Polygon(list1) → poly1
  9. Segment(A, D) → c
  10. Segment(C, D) → l
  11. Angle(D, A, B) → β
  12. Segment(B, D) → ed
  13. Polygon(A, B, D) → poly2, d_1, a_2, b_1
  14. Angle(B, A, D) → γ
  15. Angle(D, A, C) → δ
  16. Polygon(A, D, C) → poly3, c_1, a_3, d_2
  17. Pyramid(poly1, D) → i, face1, face11, face100, face101, face102, face103, face104, face105, face106, face107, face108, face109, face2, face110, face111, face112, face113, face114, face115, face116, face117, face118, face119, face12, face120, face121, face122, face123, face124, face125, face126, face127, face128, face129, face13, face130, face131, face132, face133, face134, face135, face136, face137, face138, face139, face14, face140, face141, face142, face143, face144, face145, face146, face147, face148, face149, face15, face150, face151, edge1, edge2, edge3, edge4, edge5, edge6, edge7, edge8, face16, edge9, edge10, edge11, edge12, edge13, edge14, edge15, edge16, edge17, edge18, face17, edge19, edge20, edge21, edge22, edge23, edge24, edge25, edge26, edge27, edge28, face18, edge29, edge30, edge31, edge32, edge33, edge34, edge35, edge36, edge37, edge38, face19, edge39, edge40, edge41, edge42, edge43, edge44, edge45, edge46, edge47, edge48, face3, face20, edge49, edge50, edge51, edge52, edge53, edge54, edge55, edge56, edge57, edge58, face21, edge59, edge60, edge61, edge62, edge63, edge64, edge65, edge66, edge67, edge68, face22, edge69, edge70, edge71, edge72, edge73, edge74, edge75, edge76, edge77, edge78, face23, edge79, edge80, edge81, edge82, edge83, edge84, edge85, edge86, edge87, edge88, face24, edge89, edge90, edge91, edge92, edge93, edge94, edge95, edge96, edge97, edge98, face25, edge99, edge100, edge101, edge102, edge103, edge104, edge105, edge106, edge107, edge108, face26, edge109, edge110, edge111, edge112, edge113, edge114, edge115, edge116, edge117, edge118, face27, edge119, edge120, edge121, edge122, edge123, edge124, edge125, edge126, edge127, edge128, face28, edge129, edge130, edge131, edge132, edge133, edge134, edge135, edge136, edge137, edge138, face29, edge139, edge140, edge141, edge142, edge143, edge144, edge145, edge146, edge147, edge148, face4, face30, edge149, edge150, edge151, face31, face32, face33, face34, face35, face36, face37, face38, face39, face5, face40, face41, face42, face43, face44, face45, face46, face47, face48, face49, face6, face50, face51, face52, face53, face54, face55, face56, face57, face58, face59, face7, face60, face61, face62, face63, face64, face65, face66, face67, face68, face69, face8, face70, face71, face72, face73, face74, face75, face76, face77, face78, face79, face9, face80, face81, face82, face83, face84, face85, face86, face87, face88, face89, face10, face90, face91, face92, face93, face94, face95, face96, face97, face98, face99