$解:(1-\frac{1}{2^2})×(1-\frac{1}{3^2})×(1-\frac{1}{4^2})×…×(1-\frac{1}{2024^2})×(1-\frac{1}{2025^2})$
$=\frac{1}{2}×\frac{3}{2}×\frac{2}{3}×\frac{4}{3}×\frac{3}{4}×\frac{5}{4}×…×\frac{2023}{2024}×\frac{2025}{2024}×\frac{2024}{2025}×\frac{2026}{2025}$
$=\frac{1}{2}×\frac{2026}{2025}$
$=\frac{2026}{4050}$
$=\frac{1013}{2025} $