复数加法阿特曼

复数加法阿特曼
几何画板及绘图内容加载中,请稍等……
2016-06-01 23:38
①本范例演示复数加法的阿特曼图形,通过动态交互展示复数相加的几何意义;②涉及核心数学概念包括复数运算、向量加法、平行四边形法则;③构造中运用了If条件判断、文本字段Textfield、LaTeX公式显示、对象如复数变量(iz_{br}, z_{br})、滑块K、文本(text1)等;④适合高中数学教学,用于直观理解复数加法与几何图形的关联。

GeoGebra 命令及参数

  1. If(Defined[sqrt(iz_{br}) + sqrt((-iz_{br}))] ∧ (iz_{br} ≠ 0), iz_{br}, iz_{br} + (0 * ί)) → z_{br}
  2. If(Defined[sqrt(iz_{rr}) + sqrt((-iz_{rr}))] ∧ (iz_{rr} ≠ 0), iz_{rr}, iz_{rr} + (0 * ί)) → z_{rr}
  3. If(Defined[sqrt(iz_{lr}) + sqrt((-iz_{lr}))] ∧ (iz_{lr} ≠ 0), iz_{lr}, iz_{lr} + (0 * ί)) → z_{lr}
  4. If(Defined[sqrt(iz_1) + sqrt((-iz_1))] ∧ (iz_1 ≠ 0), iz_1, iz_1 + (0 * ί)) → z_1
  5. If(Defined[sqrt(iz_3) + sqrt((-iz_3))] ∧ (iz_3 ≠ 0), iz_3, iz_3 + (0 * ί)) → z_3
  6. If(Defined[sqrt(iz_2) + sqrt((-iz_2))] ∧ (iz_2 ≠ 0), iz_2, iz_2 + (0 * ί)) → z_2
  7. If(g, Text[x(rp) + (y(rp) * ί), C, true, true], Text[z_1, C, true, true]) → text1
  8. If(g, Text[x(rq) + (y(rq) * ί), D, true, true], Text[z_2, D, true, true]) → text2
  9. If(g, Text[x(rr) + (y(rr) * ί), E, true, true], Text[z_3, E, true, true]) → text3
  10. If(g, Text[z_{lr}, F, true, true], Text[z_l, F, true, true]) → text4
  11. If(g, Text[z_{br}, H, true, true], Text[z_b, H, true, true]) → text6
  12. If(g, Text[z_{rr}, G, true, true], Text[z_r, G, true, true]) → text5
  13. Textfield(iz_{rr}) → Input_{zr}
  14. Textfield(iz_1) → InputBox_1
  15. Textfield(iz_2) → InputBox1
  16. Textfield(iz_3) → InputBox2
  17. Textfield(iz_{lr}) → InputBox3
  18. Textfield(iz_{br}) → InputBox4
  19. LaTeX($5) → text15
  20. LaTeX($6) → text12
  21. LaTeX($7) → text13