MathPlotAI Logo MathPlotAI

Ellipse - Graph & Equations

Ellipse - Graph & Equations
Loading the math board and drawing, please wait…
2016-02-17 11:28
FunctionCoordinate Geometry
This example demonstrates the graph and equations of an ellipse. Key mathematical concepts include the definition and equation form of an ellipse, as well as its geometric properties. Using GeoGebra commands such as If, Point, and Segment, you can dynamically adjust the parameters of the ellipse and observe its changes. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. If(v ≟ 1, If[w ≟ 0, 1, -1], 1) → EllipseOrUpDown
  2. If(v ≟ 0, If[a > b, ((-sqrt(a^(2) - b^(2))), 0), (0, (-sqrt(b^(2) - a^(2))))], If[w ≟ 0, ((-sqrt(a^(2) + b^(2))), 0), (0, (-sqrt(b^(2) + a^(2))))]) → F_2
  3. Point(c) → A
  4. Segment(A, F_2) → d
  5. If(v ≟ 0, If[a > b, (sqrt(a^(2) - b^(2)), 0), (0, sqrt(b^(2) - a^(2)))], If[w ≟ 0, (sqrt(a^(2) + b^(2)), 0), (0, sqrt(b^(2) + a^(2)))]) → F_1
  6. Segment(A, F_1) → e
  7. If(v ≟ 1, If[w ≟ 0, 1, -1], 1) → coef_x
  8. If(v ≟ 1, If[w ≟ 1, 1, -1], 1) → coef_y