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Quiz on Sine and Cosine Law

Quiz on Sine and Cosine Law
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2020-12-08 15:56
TrianglePolygonAngleTrigonometryGeometric Construction
① This interactive quiz demonstrates the application of the sine law and cosine law in solving triangles, with randomly generated questions and immediate feedback. ② Core mathematical concepts include the sine rule, cosine rule, triangle angle sum, side-angle relationships, and solving for unknown sides or angles. ③ Construction highlights: GeoGebra commands such as Shuffle, Random, Angle, Polygon, Element, If, Textfield, Midpoint, AreEqual, and Corner are used to generate random questions, display triangles, and process user inputs; variables like α, β, γ and conditional checks (e.g., ansq1, alphansq2) validate answers. ④ Suitable for high school or early college students practicing trigonometry and triangle solving, and useful for teachers as an in-class interactive assessment tool.

GeoGebra Commands & Parameters

  1. Shuffle(qlist) → qlistsh, {1, 5, 3, 6, 4, 2}
  2. Random(2, 30) → sf, 18
  3. Angle(V3, V2, V1) → α
  4. Polygon(V1, V2, V3) → t1, v3, v1, v2
  5. Angle(V1, V3, V2) → β
  6. Angle(V2, V1, V3) → γ
  7. Element(qlistsh, elem) → qQ
  8. If(α > 90°, round(180° - asind((sin(gamr) / sv1 * sv2))), round(asind((sin(gamr) / sv1 * sv2)))) → alphansq2
  9. If(α > 90°, round(180° - asind((sv2 * sin(gamr) / ansq6side))), round(asind((sv2 * sin(gamr) / ansq6side)))) → alphansq6
  10. Textfield(stansv2) → InputBox1
  11. Textfield(stansv3) → InputBox2
  12. Midpoint(V3m, V2p) → Mv1
  13. Midpoint(V2m, V1p) → Mv3
  14. Midpoint(V3p, V1m) → Mv2
  15. Angle(V3, V2, V1) → δ
  16. AreEqual(InputBox2, ansq1) → corr13
  17. AreEqual(InputBox1, ansq5) → corr5
  18. Textfield(stansalpha) → InputBox3
  19. If(qQ ≟ 1 ∨ qQ ≟ 3, ("x=" * Text[ansq1]), If[qQ ≟ 5, ("x=" * Text[ansq5]), If[qQ ≟ 2, ("\theta=" * Text[alphansq2]), If[qQ ≟ 4, ("\theta=" * Text[alphaansq4]), ("\theta=" * Text[alphansq6])]]]) → answtext
  20. Corner(5) → dims

AI Drawing Prompt Reference

Create an interactive geometry quiz demonstrating the sine and cosine laws for solving triangles. Display randomly generated problems with triangles, asking users to input unknown sides or angles and providing immediate feedback. Include a randomly generated triangle with labeled angles and sides, along with text boxes for user answers and feedback.
The prompt above was compiled from the original drawing commands and is for reference only.