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正方形网格上的开发

正方形网格上的开发
几何画板及绘图内容加载中，请稍等……
2019-03-10 11:41
向量解析几何导数
①本范例演示了在正方形网格上构建几何图形与现象的过程；②涉及的核心数学概念包括解析几何、向量、导数、切线与抛物线；③作图要点——使用了Circle（圆）、Point（点）、Segment（线段）、Line（直线）、Intersect（交点）、OrthogonalLine（垂线）、Polygon（多边形）、AttachCopyToView（视图复制）等GeoGebra命令与对象；④适合高中及以上数学学习者，用于理解几何作图与函数图像的交互。

GeoGebra 命令及参数

  1. Circle(C, m_0) → c_1
  2. Point(c_1) → J
  3. Point(c_1) → D
  4. Segment(D, J) → d
  5. Line(D, C) → j_1
  6. Intersect(c_1, j_1, 2) → I
  7. Segment(I, J) → b
  8. Segment(C, D) → f
  9. OrthogonalLine(C, f) → g
  10. Intersect(c_1, g, 1) → F
  11. Segment(C, F) → m
  12. Segment(F, J) → c
  13. Intersect(c_1, g, 2) → E
  14. Segment(E, J) → a
  15. Segment(E, D) → h_1
  16. Segment(F, D) → i_1
  17. Polygon(E, D, F, I) → poly1, e, d_1, f_1, ı
  18. AttachCopyToView(PolyLine[(12.100000000000005,0.2599999999999979), (12.100000000000005,0.2599999999999979), (NaN,NaN), (12.100000000000005,0.2599999999999979), (12.080000000000004,0.19999999999999787), (12.020000000000005,0.2199999999999979), (12.020000000000005,0.29999999999999793), (12.020000000000005,0.379999999999998), (12.020000000000005,0.4599999999999981), (12.080000000000004,0.41999999999999804), (12.140000000000004,0.359999999999998), (12.160000000000004,0.29999999999999793), (12.160000000000004,0.2199999999999979), (12.140000000000004,0.15999999999999784), (12.060000000000004,0.15999999999999784), (12.000000000000004,0.17999999999999786), (11.960000000000004,0.2399999999999979), (11.960000000000004,0.31999999999999795), (11.960000000000004,0.399999999999998), (12.040000000000004,0.399999999999998), (12.140000000000004,0.399999999999998), (12.220000000000004,0.399999999999998), (12.260000000000005,0.33999999999999797), (12.280000000000005,0.2599999999999979), (12.280000000000005,0.17999999999999786), (12.220000000000004,0.2599999999999979), (12.220000000000004,0.33999999999999797), (12.200000000000005,0.4599999999999981), (12.160000000000004,0.5399999999999981), (12.120000000000005,0.5999999999999982), (12.040000000000004,0.5999999999999982), (11.960000000000004,0.5799999999999982), (11.880000000000004,0.5999999999999982), (11.880000000000004,0.6799999999999982), (11.800000000000004,0.7399999999999982), (11.880000000000004,0.6799999999999982), (11.920000000000005,0.6199999999999982), (11.940000000000005,0.5599999999999982), (12.040000000000004,0.5399999999999981), (12.160000000000004,0.49999999999999806), (12.220000000000004,0.4599999999999981), (12.180000000000005,0.399999999999998), (12.140000000000004,0.33999999999999797), (12.180000000000005,0.399999999999998), (12.240000000000004,0.41999999999999804), (12.280000000000005,0.33999999999999797), (12.280000000000005,0.2599999999999979), (12.320000000000004,0.15999999999999784), (12.340000000000005,0.2199999999999979), (12.260000000000005,0.2199999999999979), (12.180000000000005,0.2199999999999979), (12.100000000000005,0.19999999999999787), (12.000000000000004,0.19999999999999787), (11.900000000000004,0.19999999999999787), (11.860000000000005,0.2599999999999979), (11.840000000000005,0.31999999999999795), (11.800000000000004,0.379999999999998), (11.880000000000004,0.379999999999998), (11.940000000000005,0.33999999999999797), (12.000000000000004,0.29999999999999793), (12.060000000000004,0.359999999999998), (12.040000000000004,0.2799999999999979), (NaN,NaN), (7.460000000000003,-1.7000000000000035), (7.460000000000003,-1.7000000000000035), true], 1, (-5.120000000000001, -5.000000000000006), (18.720000000000006, 6.620000000000003), (0, 581), (1192, 0)) → stroke1