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Sine Function Demo

Sine Function Demo
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2020-04-15 09:42
FunctionTrigonometryCoordinate GeometryGraphing
This example demonstrates the sine function graph and its periodic behavior. Core math concepts include sine function, amplitude, period, and coordinate geometry. Construction highlights involve GeoGebra commands like Point, Distance, Vector, and objects such as a, b, c, d, f, text1, A, B, distanceAB, u, v, C, D, distanceCD, w, z, TextAB, TextCD, e, g. Suitable for high school mathematics education to understand function graph characteristics and parameter effects.

GeoGebra Commands & Parameters

  1. Point(f) → A
  2. Distance(A, B) → distanceAB
  3. Vector(A, B) → u
  4. Vector(B, A) → v
  5. Distance(C, D) → distanceCD
  6. Vector(C, D) → w
  7. Vector(D, C) → z

AI Drawing Prompt Reference

Draw a sine function graph to demonstrate its periodic behavior. Include a point, two vectors, and the distances between them. First, plot the sine curve, then indicate the amplitude and period, and represent the direction and distance relationships with vectors. Finally, label the distances and vector directions of key points.
The prompt above was compiled from the original drawing commands and is for reference only.