HKCEE MC #2 Demo: Cuboid, Pythagoras, Hyperbola & Tangent
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F.5 CH. 3 Translation of Function
This GeoGebra example visualizes the solution to HKCEE Multiple Choice Question #2, focusing on a cuboid geometry problem. Key mathematical concepts include the Pythagorean theorem, hyperbola properties, and tangent functions within a 3D context. Construction utilizes variables a and b for dimensions, text objects text1-text5 for annotations, geometric objects g-j for shapes, angle α, and function f for analysis. It is designed for high school students preparing for the Hong Kong Certificate of Education Examination or studying solid geometry and coordinate geometry.
GeoGebra Commands & Parameters
Numeric a(1)Numeric b(1)x = 90°x = 180°x = 270°x = 360°Angle α(0)f(x) = If[0 ≤ x ≤ 6.28319, (a * tan((b * x) + α))]
AI Drawing Prompt Reference
Draw a cuboid with adjustable dimensions a and b, label angle α, and mark three angles at 90°, 180°, and 270°. Inside the cuboid, plot a function curve based on angle x, influenced by a and b, including a tangent line. Annotate with text to explain geometric relationships and function properties, highlighting the Pythagorean theorem and hyperbola characteristics.
The prompt above was compiled from the original drawing commands and is for reference only.