Cubic Bézier Curve

Cubic Bézier Curve
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2020-07-03 22:10
This example demonstrates the construction and parametric properties of a cubic Bézier curve. Key math concepts include vectors, parametric equations, coordinate geometry, and geometric construction. The construction uses GeoGebra commands like Segment (line segment) and Locus (trajectory) to build control points, auxiliary lines, and the curve itself. Suitable for high school and above students learning parametric curves, vector applications, and computer graphics fundamentals.

GeoGebra Commands & Parameters

  1. Segment(A, B) → f
  2. Segment(B, C) → g
  3. Segment(C, D) → h
  4. Segment(P, Q) → i
  5. Segment(Q, R) → j
  6. Segment(S, T) → k
  7. Locus(U, t) → c