数列中的递推式问题从上世纪80年代开始,一直是高考命题者的“宠儿”.在2004年全国各地的高考试卷中到处可以看到它的“倩影”,成为高考试卷中一道亮丽的风景.究其原因:一是由于它涉及的知识面广、方法灵活、题型常新等特点,而备受命题者的青睐;二是能更高层次上考查学生的数学思想方法和数学思维能力,如发现关系的能力、数学推理能力、迁移概括能力和运用思维模块等能力.由此,为高素质学生的发展提供平台.一、递推式与代数式求值的整合例1 若 a、b、c 满足 a+b+c=1,a~2+b~2 The recursive questions in the series have been the “darlings” of the college entrance examination proposition since the 1980s. In the high test volumes around the country in 2004, the “shadows” can be seen everywhere, and become a beautiful one in the high exam volume. Scenery. The reason: First, because it involves a wide range of knowledge, methods, flexibility, questions often new and other characteristics, and are prone to favor the proposition; the second is to examine students at a higher level of mathematical thinking methods and mathematical thinking Ability, such as the ability to find relationships, mathematical reasoning ability, ability to transfer generalization, and the ability to use thinking modules. This provides a platform for the development of high-quality students. First, the integration of recursive and algebraic type evaluation 1 If a, b,c satisfies a+b+c=1,a~2+b~2