Exercise 1: Random Numbers and Interactive Geometry Exploration

①This interactive math exercise uses random parameters and input fields to let users explore dynamic relationships among angles, linear equations, coordinates, median values, and matrices. ②Core mathematical concepts include angle measurement, solving linear equations, coordinate geometry, median calculation, and matrix operations, bridging algebra and geometry. ③Construction highlights: GeoGebra commands Random and Textfield generate random values and input boxes; button1 triggers updates; objects include points A, B, C, D, E, F, segments g, d, f, images pic1, pic2, pic3, and texts text1-text4, enabling dynamic visualization of mathematical properties. ④Suitable for middle school to early college students, for classroom practice or self-study, to visualize abstract concepts, enhance mathematical intuition, and improve problem-solving skills.