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Curve and Surface Matching Game Review

Curve and Surface Matching Game Review
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2019-05-03 02:38
FunctionTrigonometryCoordinate GeometrySolid GeometryOptimization
This example demonstrates geometric relationships between curves and surfaces through an interactive matching game. Core math concepts include surfaces, secant lines, tangent functions, linear equations, and linear programming. Constructed using GeoGebra commands like CurveCartesian with objects a, b, c, d, e. Suitable for high school and above students for reviewing spatial geometry and analytical geometry.

GeoGebra Commands & Parameters

  1. CurveCartesian(cos(t), sin(t), cos(t), t, 0, (2 * π)) → a
  2. CurveCartesian(t, t^(2), t^(2), t, -10, 10) → c
  3. CurveCartesian(ℯ^(t), 1 - ℯ^(t), t, t, -10, 10) → d
  4. CurveCartesian(ℯ^(t), 1 - ℯ^(t), ℯ^(t), t, -10, 10) → e