Rational Numbers and Geometry Construction: Triangles and Frequency Distribution

① This GeoGebra example demonstrates a comprehensive geometric construction combining rational number representation, frequency distribution, and properties of right and equilateral triangles. ② Core mathematical concepts include rational numbers (using FractionText), frequency distribution, right triangles, equilateral triangles, and geometric transformations such as dilation and intersection. ③ Construction details: commands used include Segment, Dilate, Intersect, Polygon, PointIn, and FractionText; objects include points A, B, C, D, E, F, segments a through k, triangles t1 and t2, and text objects text1 to text4. ④ Suitable for middle school to high school students, this example helps learners understand rational numbers in geometric contexts, triangle properties, and dynamic construction techniques, and can serve as a classroom demonstration or self-study resource.