Abstract: For the α-Lüroth expansion, some metric properties, such as “0-1” law, iterated logarithm law of the digits are studied in this paper. As the extension of alternating-Lüroth expansion, the conclusions in this paper include those of alternating-Lüroth case.#@#@#摘要: 对于α-Lüroth展式，在此篇文章我们研究了α-Lüroth展式的一些度量性质，获得了该展式数字“0-1”律，基于该结果，得到了相应的重对数律，进一步完善了该展式的度量性质。作为交错Lüroth展式的推广，该论文的结论包括了交错Lüroth的相应的结果。
