一、整体代入一类求代数式值的问题,若利用常规方法计算往往很复杂,甚至有时求不出具体的数值,这时若将条件和结论从一个整体的角度去分析,挖掘已知式子和待求式子的整体结构特征,将已知条件进行适当的变形,或把已知关系式作为整体代入,便可能使得求值问题变得“柳暗花明”.例1已知α是方程x2-2014x+1=0的 First, the overall substitution into a class of algebraic value of the problem, if the use of conventional methods of calculation is often very complicated, and sometimes can not find a specific value, then the conditions and conclusions from a whole point of view to analyze and tap the known formula And the overall structural features of the subjective to be sought, the known conditions can be properly transformed, or the known relation can be substituted as a whole, it may make the problem of evaluation become x2-2014x + 1 = 0