AEF.NEFP Numerical Estimation: False Position Method Interactive Demo

① This GeoGebra example demonstrates the False Position Method (Regula Falsi) for numerically approximating roots of nonlinear equations f(x)=0. ② Core mathematical concepts include iterative methods, root finding, interval contraction, linear interpolation, and convergence analysis; it involves exponential functions, secant lines, and median values. ③ Construction highlights: uses Iteration command to generate sequences, Line, Intersect, Segment to build secants, Point and Vector to mark iteration points, Textfield and inputBox for interactive parameter control, and Roots command to verify solutions. ④ Suitable for university numerical analysis courses or advanced high school mathematics, providing an intuitive visualization of the iteration process, convergence behavior, and comparison with bisection or Newton's method.