中文摘要：

选取黄土丘陵沟壑区韭园沟流域为研究样区。以1：1万地形图所建立的不同分辨率DEM为研究对象．分析不同分辨率所提取坡度的面积误差变化规律，提出了面积百分比加权总体误差的指标．在随机选取的20个试验样区得到了上述误差指标与分辨率的线性函数关系，通过本函数的反函数可以由已知误差求得所需要的分辨率范围，并且在16个随机检验样区模型通过了检验．

英文摘要：

The paper takes Jiuyuan Gou basin in Loess Hill and Gully Area as the sample of study and DEM with different resolutions established according to the map scaled at 1 ： 10 000 as the object of study. It analyzes the variation rules of the area errors of slopes derived from DEM with different resolutions and proposes for the first time the indexes of the total error of weighted area percentage. The linear relationship between the indexes and different resolutions is obtained in 20 randomly selected areas. By adopting this model, the needed range of resolution can be calculated if the area errors are known. The model has passed the test in 16 randomly selected areas for testing.