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System of 3 Variable Equations Demo

System of 3 Variable Equations Demo
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2015-06-18 09:02
Coordinate GeometrySolid GeometryGeometric Construction
This example demonstrates the geometric solution of a system of three variable equations by finding the intersection point of three planes. Key math concepts include spatial geometry, linear systems, and plane intersections. Construction highlights from the GeoGebra commands include Plane, Intersect, and Prism. Suitable for high school and university-level mathematics education in solid geometry and equation solving.

GeoGebra Commands & Parameters

  1. Plane(B, A, P) → a
  2. Plane(P, D, E) → b
  3. Plane(P, F, G) → c
  4. Intersect(xAxis, zAxis) → L
  5. Prism(L, J, K, I, H) → d, M, edgeJL, edgeJK, edgeIK, edgeIL, edgeHL, edgeJM, edgeKN, edgeIO, edgeHM, edgeMN, N, edgeNO, edgeHO, O, faceIKJL, faceHLJM, faceJKNM, faceIKNO, faceHLIO, faceHMNO

AI Drawing Prompt Reference

Draw three intersecting planes whose intersection is a single point, located at the common part of all three planes. Start by plotting the intersection point of the x-axis and z-axis of the coordinate system, then extend upward to form a triangular prism with its base parallel to the xz-plane, ensuring its sides correspond to the three planes, demonstrating the geometric solution of a system of linear equations in spatial geometry.
The prompt above was compiled from the original drawing commands and is for reference only.