本论文旨在探索积分中值定理在 Solow 增长模型中的应用，研究如何将二 者相结合。通过我国 2000 年至 2018 年年度 GDP、资本存量和劳动投入数据， 使用线性回归分析获得 Solow 模型的生产函数参数。同时应用积分中值定理 计算 Solow 增长模型的基本要素的平均值。通过比较两种方法的结果，深入 分析得到的数据和指标，更加全面地了解经济增长的情况，更加直面的了解 到经济体在所分析时间段内的整体发展现状，从资本投入、劳动投入和技术 进步等方面制定有针对性的措施和政策。

The purpose of this thesis is to explore the application of the mean value theorem for integrals in the Solow growth model and study how to combine the two. Through China's annual GDP, capital stock and labor input data from 2000 to 2018, the parameters of the production function of Solow model are obtained using linear regression analysis. Meanwhile, the mean value theorem for integrals is applied to calculate the average values of the basic elements of the Solow growth model. By comparing the results of the two methods, the data and indicators obtained are analyzed in depth to provide a more comprehensive understanding of economic growth, a more straightforward understanding of the overall development status of the economy in the time period analyzed, and the formulation of targeted measures and policies in terms of capital inputs, labor inputs, and technological progress.