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4 System of Equations Solver

4 System of Equations Solver
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2016-10-04 00:06
FunctionTrigonometryCoordinate GeometryGeometric Construction
In collections Special Systems of Equations
This example demonstrates how to solve a system of four equations using GeoGebra and visualize the solution set. Core math concepts include system of equations solving, geometric intersections, fractions, scalene triangles, parallelograms, and division. Construction highlights involve GeoGebra commands/objects like IntersectPath (for intersection with paths) and Intersect (for intersections between objects), along with objects a, b, c, f, g, h, A, B, C. Suitable for high school and above, helping students understand the geometric meaning of equation solving and the application of GeoGebra in mathematical exploration.

GeoGebra Commands & Parameters

  1. IntersectPath(a, b) → f
  2. IntersectPath(b, c) → g
  3. IntersectPath(a, c) → h
  4. Intersect(f, g) → A
  5. Intersect(g, h) → B
  6. Intersect(f, h) → C

AI Drawing Prompt Reference

Draw the solution set of a system of four linear equations by first creating three lines a, b, and c, then finding their intersections f, g, and h. Use the intersections of f and g (point A), g and h (point B), and f and h (point C) to represent the solution set.
The prompt above was compiled from the original drawing commands and is for reference only.