积极 AI Logo 积极 AI

梯形面积计算 by Mrs Rouse

梯形面积计算 by Mrs Rouse
几何画板及绘图内容加载中，请稍等……
2018-06-20 19:12
多边形解析几何几何作图
①本范例演示如何通过坐标几何方法计算梯形面积；②涉及的核心数学概念包括坐标几何、多边形面积公式、中点、旋转、正交线等；③作图要点提炼自构造摘要，使用了Segment, Line, Point, Polygon, Midpoint, Rotate, OrthogonalLine, Intersect, If等GeoGebra命令和对象；④适合高中数学教学，用于理解和应用梯形面积公式。

GeoGebra 命令及参数

  1. Segment(A, B) → a_2
  2. Line(C, a_2) → b_2
  3. Point(b_2) → D
  4. Polygon(A, C, D, B) → P, a_1, a, d, b
  5. Midpoint(D, B) → E
  6. Rotate(A, -rotate, E) → A'
  7. Rotate(C, -rotate, E) → C'
  8. Rotate(D, -rotate, E) → D'
  9. Rotate(B, -rotate, E) → B'
  10. Polygon(A', C', D', B') → P', a', c', d', b'
  11. Line(A, B) → e
  12. OrthogonalLine(D, e) → f
  13. Intersect(f, e) → F
  14. Segment(A, F) → c
  15. Midpoint(B', A') → G
  16. Midpoint(D', C') → H
  17. If(rotate ≥ 0°, H) → I
  18. If(rotate > 0°, H) → J
  19. If(rotate > 0°, G) → K
  20. Segment(D, F) → h
  21. Angle(D, F, A) → β
  22. Midpoint(a_2) → L
  23. Midpoint(h) → M
  24. Segment(A, D) → g
  25. Polygon(A, C, D) → poly1, d_1, a_3, c_1
  26. Polygon(A, D, B) → poly2, b_1, a_4, d_2