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周长与面积计算 by cemccourseware

周长与面积计算 by cemccourseware
几何画板及绘图内容加载中，请稍等……
2018-09-29 01:15
解析几何最值优化
①本范例演示了如何使用 GeoGebra 绘制并计算多边形的周长与面积；②涉及的核心数学概念包括周长、面积、解析几何、优化问题、三角函数和圆锥曲线；③作图要点——从下方『构造摘要』提炼用到了 Point, UnicodeToLetter, Line, Intersect, Polygon, Segment, LaTeX, Angle 等命令/对象；④适合高中及以上学生学习和教师教学使用。

GeoGebra 命令及参数

  1. Point(Circle[B, 20]) → F
  2. UnicodeToLetter(10007) → xmark
  3. UnicodeToLetter(10003) → cmark
  4. Line(A, xAxis) → l
  5. Line(A, yAxis) → b
  6. Line(B, yAxis) → c
  7. Line(B, xAxis) → d
  8. Line(C, xAxis) → e
  9. Line(D, yAxis) → f
  10. Intersect(e, f) → E
  11. Polygon(A, C, E, D) → chickenPen, a, c_1, e_1, d_1
  12. Segment(B, F) → h
  13. Intersect(l, c) → G
  14. Line(F, yAxis) → g
  15. Intersect(l, g) → H
  16. Polygon(B, G, H, F) → barn, b_1, g_1, h_1, f_1
  17. LaTeX("\text{\textbf{Instructions: }Move the sliders to vary the length and width of the fenced area, and \\explore how this affects the size of the enclosed region.}") → SpecInstruc
  18. Angle(A, D, E) → α
  19. Angle(C, A, D) → β
  20. Angle(D, E, C) → γ
  21. Angle(E, C, A) → δ