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Algebraic Equation Proof

Algebraic Equation Proof
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2014-06-23 02:30
VectorFunctionCoordinate Geometry
This example helps students understand the proof of algebraic equations through drag-and-drop operations. Key mathematical concepts include equations and vectors. It uses commands like Intersect, Point, Line, Vector, etc. Suitable for middle school and above students to learn algebraic proofs.

GeoGebra Commands & Parameters

  1. Intersect(xAxis, yAxis) → A
  2. Point(xAxis) → B
  3. Point(xAxis) → C
  4. Point(yAxis) → D
  5. Line(B, yAxis) → i
  6. Line(C, yAxis) → j
  7. Line(D, xAxis) → a
  8. Intersect(a, i) → E
  9. Intersect(a, j) → F
  10. Point(xAxis) → G
  11. Line(G, j) → k
  12. Intersect(a, k) → H
  13. Vector(A, B) → u
  14. Vector(A, C) → v
  15. Vector(A, G) → w
  16. Vector(A, E) → z
  17. Vector(A, F) → u1
  18. Point(a) → J1
  19. Vector(A, H) → v1
  20. Point(a) → P1

AI Drawing Prompt Reference

Draw a coordinate plane with x and y axes. Mark their intersection point. Place three points on the x-axis and two on the y-axis. Draw lines through these points perpendicular to the axes and mark their intersections. From the origin, draw vectors to these points and label their endpoints. Connect the origin to some intersection points to form a geometric figure, highlighting vector relationships.
The prompt above was compiled from the original drawing commands and is for reference only.