Application of Matrices in Geometry: Trapezoid and Rectangle Problems

This example demonstrates how to use matrix methods to solve geometric problems involving trapezoids and rectangles. By establishing a coordinate system, vertices of geometric figures are represented as coordinates, and matrix operations are applied to calculate geometric quantities. Key mathematical concepts include matrix transformations, coordinate geometry, geometric mean, and equation solving. Construction: Use Point command to create key points (A, B, C, etc.), Segment command to form trapezoid and rectangle boundaries, with text objects displaying the calculation process. Suitable for senior high school and introductory linear algebra students,可以作为矩阵几何应用的教学演示。