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线性方程求解的可视化映射图

线性方程求解的可视化映射图
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2017-03-19 12:07
向量函数解析几何函数图像
①本范例通过映射图演示线性方程的求解过程；②涉及核心数学概念包括线性方程、映射关系、坐标几何；③作图要点：使用了Point, Textfield, Sequence, Vector, TableText等GeoGebra命令和对象；④适合高中数学教学和初学者理解线性方程求解的可视化方法。

GeoGebra 命令及参数

  1. Point(yAxis) → A_x
  2. Textfield(m) → inputBox1
  3. Textfield(s) → inputBoxf
  4. Sequence(Vector[(0, i), (2, m(i))], i, -2, 2) → Linmvlist
  5. Sequence(Vector[(2, m(i)), (4, s(m(i)))], i, -2, 2) → Linsvlist
  6. Textfield(m) → inputBox5
  7. Textfield(s) → inputBox6
  8. Sequence(Vector[(0, i), (4, s(m(i)))], i, -2, 2) → Linfvlist
  9. Point(b_1) → A
  10. Vector(A, D) → g
  11. Vector(D, E) → k
  12. TableText({{A1, B1}, {A2, B2}, {A3, B3}, {A4, B4}, {A5, B5}, {A6, B6}}, "|_") → text22
  13. TableText({{D1, E1}, {D2, E2}, {D3, E3}, {D4, E4}, {D5, E5}, {D6, E6}}, "|_") → text23
  14. TableText({{G1, H1, I1}, {G2, H2, I2}, {G3, H3, I3}, {G4, H4, I4}, {G5, H5, I5}, {G6, H6, I6}}, "|_") → text24
  15. Vector(E, A) → u_1