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梯子上的猫

梯子上的猫
几何画板及绘图内容加载中，请稍等……
2019-02-14 19:15
函数解析几何立体几何几何作图
①这个范例演示了在梯子上运动的猫的轨迹和形状变化；②涉及的核心数学概念包括曲线绘制、立体图形、二次方程、组合数学、抛物线；③作图要点使用了GeoGebra的Intersect（相交）、Vector（向量）、Segment（线段）、Ellipse（椭圆）、Polygon（多边形）等命令和对象；④适合高中阶段学习解析几何、立体几何和函数图像的学生使用。

GeoGebra 命令及参数

  1. Intersect(xAxis, yAxis) → A
  2. Vector(B, C) → u
  3. Segment(B, C) → f
  4. Ellipse(B1, C1, D1) → E1
  5. Ellipse(B2, C2, D2) → E2
  6. Ellipse(B3, C3, D3) → E3
  7. Ellipse(B4, C4, D4) → E4
  8. Ellipse(B5, C5, D5) → E5
  9. Ellipse(B6, C6, D6) → E6
  10. Ellipse(B7, C7, D7) → E7
  11. Polygon(G1, F1, 3) → A9, B9, C9, D9, E9
  12. Polygon(G2, F2, 3) → A10, B10, C10, D10, E10_1
  13. Polygon(G3, F3, 3) → A11, B11, C11, D11, E11_1
  14. Polygon(G4, F4, 3) → A12, B12, C12, D12, E12_1
  15. Polygon(G5, F5, 3) → A13, B13, C13, D13, E13_1
  16. Polygon(G6, F6, 3) → A14, B14, C14, D14, E14_1
  17. Polygon(G7, F7, 3) → A15, B15, C15, D15, E15
  18. Polygon(F1, H1, 3) → A17, B17, C17, D17, E17
  19. Polygon(F2, H2, 3) → A18, B18, C18, D18, E18
  20. Polygon(F3, H3, 3) → A19, B19, C19, D19, E19
  21. Polygon(F4, H4, 3) → A20, B20, C20, D20, E20
  22. Polygon(F5, H5, 3) → A21, B21, C21, D21, E21
  23. Polygon(F6, H6, 3) → A22, B22, C22, D22, E22
  24. Polygon(F7, H7, 3) → A23, B23, C23, D23, E23