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Dynamic Points Plotting Example

Dynamic Points Plotting Example
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2019-10-16 01:06
Coordinate GeometryTransformationGeometric Construction
In collections Graphing Linear Functions
This example demonstrates dynamic point plotting in the coordinate plane. Key concepts include coordinate geometry and transformation. Commands used include Intersect, Dilate, Vector, and Distance. Suitable for middle school and above students to learn dynamic point changes and geometric transformations.

GeoGebra Commands & Parameters

  1. Intersect(f, g) → C
  2. Intersect(f, h) → D
  3. Dilate(A, If[0 < e ≤ 1, 1 - e, 0], C) → A'
  4. Vector(E, A') → u
  5. Distance(E, C) → distanceEC
  6. Distance(A, C) → distanceAC
  7. Dilate(C, If[1 < e ≤ 2, 2 - e, 0], D) → C'
  8. Vector(C, C') → v
  9. Intersect(g, xAxis) → F
  10. Intersect(f, g) → G
  11. Distance(G, D) → distanceGD

AI Drawing Prompt Reference

Create a dynamic point plotting example in the coordinate plane. First, draw two lines f and g, then find their intersections with another line h to get points C and D. Next, dynamically scale point A around point C to get A', and calculate vector u and distances EC and AC. Then, dynamically scale point C around point D to get C', and calculate vector v. Finally, find the intersection of line g with line f on the x-axis to get point F, and calculate the distance between point G and D as distanceGD.
The prompt above was compiled from the original drawing commands and is for reference only.