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Solve Simultaneous Linear Equations of Two Unknowns by Graphical Method

Solve Simultaneous Linear Equations of Two Unknowns by Graphical Method
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2020-05-07 17:30
FunctionCoordinate GeometryGeometric Construction
This example demonstrates solving simultaneous linear equations of two unknowns using the graphical method. Key mathematical concepts include the graphical representation of linear equations. The construction involves commands such as Intersect, Sequence, Textfield, Line, etc. Suitable for students at the junior high school level and above.

GeoGebra Commands & Parameters

  1. Intersect(f, g) → A_0
  2. Sequence(Segment[(x(T_1) + (2 * k), y(T_1)), (x(T_1) + (2 * k), y(T_1) + 2)], k, 0, 4) → t_1
  3. Sequence(Segment[(x(T_1), y(T_1) + k), (x(T_1) + 8, y(T_1) + k)], k, 0, 2) → t_2
  4. Sequence(Segment[(x(T_2) + (2 * k), y(T_2)), (x(T_2) + (2 * k), y(T_2) + 2)], k, 0, 4) → t_3
  5. Sequence(Segment[(x(T_2), y(T_2) + k), (x(T_2) + 8, y(T_2) + k)], k, 0, 2) → t_4
  6. Textfield(f) → InputBox1
  7. Textfield(g) → InputBox2
  8. Line(A_1, A_2) → f_2
  9. Line(A_4, A_5) → g_2
  10. Line(A_2, A_3) → f_3
  11. Line(A_5, A_6) → g_3
  12. Corner(2, 1) → C
  13. Segment(B_2, A_0) → h
  14. Segment(A_0, B_1) → i
  15. Corner(2, 1) → Z
  16. If(chi ≟ false, "Yes", "是") → text17

AI Drawing Prompt Reference

Draw two intersecting lines to represent a system of linear equations, highlighting their intersection point. Add multiple parallel line segments on each line, and include input boxes for the equations. Connect the intersection point to corners with line segments, and display text confirming the solution based on a condition.
The prompt above was compiled from the original drawing commands and is for reference only.