我们把满足递推公式an+1=(aan+b)/(can+d)(c≠0,且ad-bc≠0)及初始条件a1=p的数列,称为分式线性递归数列.二十一世纪以来,作为高考数学以及高中数学竞赛的数列部分内容之一的分式线性递归数列加大了考查力度.比如2004年全国高中数学联赛数列问题、2005年高中希望杯培训题中的数列问题、2007年全国Ⅰ卷理第22题、2008年高考陕西卷理第22题以及2009年高考江西卷理第22题等都是对分式线性递归数列的考查.这些问题在常规教学中不多见,主要考 We refer to the sequence of recurrence formulas an + 1 = (aan + b) / (can + d) (c ≠ 0 and ad-bc ≠ 0) and the initial condition a1 = p as the fractional linear recursive sequence. Since the twenty-first century, fractional linear recursion sequences as part of the math and high school math competitions have intensified the examination, such as the 2004 National Senior High School Math League Series, the 2005 High School Hope Cup Training Series of questions, the 2007 National Volume I 22 questions, the 2008 college entrance exam Shaanxi Volume 22 and the 2009 college entrance exam Jiangxi Volume 22 questions are all linear fractional linear recursive sequence of these questions in the conventional teaching Rare, the main test