Game #6: Interactive Rhombus Logic and Hypergeometric Distribution

① This example, titled 'Game #6', is an interactive mathematical game built in GeoGebra that dynamically demonstrates the geometric properties of a rhombus (菱形) through random elements and conditional logic, while also incorporating logarithmic functions and the hypergeometric distribution from probability and statistics. ② The core mathematical concepts include the definition and properties of a rhombus, logical reasoning with If statements, random element selection via RandomElement, logarithmic functions, and hypergeometric probability calculations, showcasing an interdisciplinary blend of geometry, algebra, and probability. ③ Construction highlights: Based on the construction summary, the example uses the RandomElement command to generate random values, the If command for conditional branching, and creates multiple text objects (text1 through text6) to display questions, hints, or results, along with two buttons (button1, button2) to control the game flow or refresh random states; objects D, a, b, c likely represent vertices or side lengths of the rhombus. ④ This is suitable for upper secondary to early university students, serving as a gamified learning tool to reinforce rhombus geometry, logical reasoning, and probability distributions, and can also be a reference for teachers designing interactive math activities.