积极 AI Logo 积极 AI

配方法演示 by Varada Vaughan

配方法演示 by Varada Vaughan
几何画板及绘图内容加载中，请稍等……
2017-05-31 06:31
函数解析几何微积分参数方程
①本范例演示通过配方法将二次函数转化为顶点形式，直观展示抛物线的顶点变化；②涉及核心数学概念包括二次函数、配方法、顶点坐标、解析几何；③作图要点：使用RandomElement随机生成参数，通过Circle、Polygon、Line、Point、Segment等命令构建图形，利用PointIn、Intersect、Textfield等对象进行交互式演示；④适合高中数学教学，用于帮助学生理解配方法及其应用。

GeoGebra 命令及参数

  1. RandomElement({1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15}) → n
  2. RandomElement({1, 2, 3, 4, 5}) → a
  3. Circle(B, n) → p
  4. Polygon(A, B, 4) → poly1, b, c, d, e, C, D
  5. Line(C, B) → k
  6. Point(Circle[A, abs(n)]) → F
  7. Segment(A, F) → g
  8. Point(Circle[A, abs(n)]) → G
  9. Segment(A, G) → h
  10. Point(Circle[D, abs(n)]) → H
  11. Segment(D, H) → i
  12. Polygon(A, D, H, G) → poly3, a_2, d_1, h_1, g_1
  13. Point(Circle[G, abs(n)]) → I
  14. Segment(G, I) → j
  15. Polygon(F, I, G, A) → poly4, f_2, i_1, g_2, a_3
  16. PointIn(poly1) → Pointpoly1_1
  17. PointIn(poly3) → Pointpoly3_1
  18. PointIn(poly4) → Pointpoly4
  19. PointIn(poly1) → Pointpoly1
  20. Intersect(p, k) → E, J
  21. Polygon(B, E, F, A) → poly2, b_1, e_1, f, a_1
  22. PointIn(poly2) → Pointpoly2_1
  23. PointIn(poly2) → Pointpoly2
  24. PointIn(poly3) → Pointpoly3
  25. Textfield(t) → inputBox1
  26. Polygon(B, J, F, A) → poly5, b_2, j_1, f_1, a_4
  27. PointIn(poly5) → Pointpoly5