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圆的术语与构造

圆的术语与构造
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2017-05-31 22:09
圆解析几何几何作图
①本范例演示了圆的基本术语和几何构造过程；②涉及的核心数学概念包括圆、三角形、坐标几何、三角函数等；③作图要点：使用Polygon, Circle, Point, Segment等GeoGebra命令进行圆和三角形的构造，并通过滑块和动态对象展示术语关系；④适合初中及以上学生学习和理解圆的几何性质及解析几何方法。

GeoGebra 命令及参数

  1. Polygon((6.5, 4), (8.5, 4), (8.5, 0), (6.5, 0)) → TermBox, f, g, h, i
  2. Circle(O, r) → Circ
  3. Point(Circle[O, r]) → A
  4. Segment(O, A) → Rad
  5. Segment(((-r), 0), (r, 0)) → Diam
  6. Polygon(Point1, Point1 + (2, 0), Point1 + (2, -0.75), Point1 + (0, -0.75)) → DragBox1, point1, j, k, l
  7. Polygon(Point2, Point2 + (2, 0), Point2 + (2, -0.75), Point2 + (0, -0.75)) → DragBox2, point2, m, n, p
  8. Polygon(Point3, Point3 + (2, 0), Point3 + (2, -0.75), Point3 + (0, -0.75)) → DragBox3, point3, q, s, t
  9. Polygon((-5, 2), (-3, 2), (-3, 1), (-5, 1)) → AnsBox2, d, e, f_1, g_1
  10. Polygon(Point4, Point4 + (2, 0), Point4 + (2, -0.75), Point4 + (0, -0.75)) → DragBox4, point4, a, b, c
  11. Polygon((3, 3), (5, 3), (5, 2), (3, 2)) → AnsBox4, h_1, i_1, j_1, k_1
  12. Polygon((-5, -2), (-3, -2), (-3, -3), (-5, -3)) → AnsBox1, l_1, m_1, n_1, p_1
  13. Polygon((3, -1), (5, -1), (5, -2), (3, -2)) → AnsBox3, q_1, r_1, s_1, t_1
  14. Segment((-3, -2), ArrowPoint1) → Arrow1
  15. Segment(ArrowPoint3, (3, -1)) → Arrow3
  16. Segment((3, 2), ArrowPoint4) → Arrow4
  17. Segment((-3, 1), ArrowPoint2) → Arrow2
  18. Polygon((-5, 2), (-3, 2), (-3, 1), (-5, 1)) → AnsBox2Fill, e_1, f_2, g_2, h_2
  19. Polygon((-5, -2), (-3, -2), (-3, -3), (-5, -3)) → AnsBox1Fill, a_1, b_1, c_1, d_1
  20. Polygon((3, -1), (5, -1), (5, -2), (3, -2)) → AnsBox3Fill, i_2, j_2, k_2, l_2
  21. Polygon((3, 3), (5, 3), (5, 2), (3, 2)) → AnsBox4Fill, m_2, n_2, p_2, q_2