等腰梯形的正方形平行覆盖（英文）  

Parallel Covering of an Isosceles Trapezoid With Squares

作　　者：申春霞 苏战军[1] 

机构地区：[1]河北师范大学数学与信息科学学院,石家庄河北050024

出　　处：《数学进展》2017年第6期932-944,共13页Advances in Mathematics（China）

基　　金：Supported by NSFC(No.11071055,No.11471095);the NSF of Hebei Province(No.A2016205134,No.A2013205089)

摘　　要：设I是底边长为1和2,高为3^(1/2)/2的等腰梯形.假设S_1,S_2,…是正方形S的位似拷贝.本文研究了用正方形序列{S_n}平行覆盖等腰梯形I的问题,证明了对于任意正方形序列,若其正方形面积之和不小于4,则该正方形序列能平行覆盖等腰梯形I.Let I be an isosceles trapezoid with base lengths 1 and 2 and with height √3/2. Suppose that S1, S2,... are the homothetic copies of a square S. In this paper we consider the parallel covering of I with sequence {Sn} and prove that any （finite or infinite） sequence of squares permits a parallel covering of I provided that the total area of the squares is not less than 4.

关 键 词：平行覆盖 等腰梯形 正方形 

分 类 号：O157.3[理学—数学]