中文摘要：

该文研究了在Hausdorff度量及分布意义下连续函数之微切集的存在性问题,证明了连续的典型函数具有丰富的（万有）微切集结构.这一结果推广了Z.Buczolich的相关结论.

英文摘要：

We prove the existence theorem： there are many Micro-tangent sets of each function of some residual set of c[0, 1] in the sense of Hausdorff metric and that of distribution, respectively. In other words, the typical continuous function has a rich （universal） micro-tangent set structure at many points. This generalizes the results offered by Z.Buczolich .