Mapping Diagrams to Visualize Solving a Linear Equation

① This example uses a mapping diagram to visually demonstrate the step-by-step solution of a linear equation ax+b=c, linking algebraic operations with geometric correspondences. ② Core mathematical concepts include linear equations, function mappings, inverse operations, number lines, coordinate plane points, and the geometric meaning of equation solutions. ③ Construction highlights: Using GeoGebra commands such as Point, Textfield, Sequence, and Vector, it builds objects including h, b, R, m_*, q, s, m, a, b_1, A_x, xaxis, yaxis, inputBox1, inputBoxf, x_0, uaxis, textforf, c, textforg, text1, text3, text4, text5, e, i, Quadgvlist, Quadmvlist, QuadRvlist, Quadqvlist, text2, text6, text7, text2_1, text8, K, s_{inv}D, w, m_{invSinvD}, z, q_{inv+}, with input boxes and dynamic texts for interactive exploration. ④ Suitable for middle and high school mathematics classrooms or self-study, helping students understand each mapping step in solving equations and fostering algebraic-geometric connections.