在近年高考数学压轴题和模拟题中,有一类数列不等式的证明,它们通常与函数不等式lnx≤x-1(x>0)或其变式有关,在此不等式或变式上通过恰当赋值和放缩来完成.本文在充分挖掘这个不等式的外延和内涵的基础上,通过实例来揭示解决这类不等式的方法.例1(2010年湖北理科高考压轴题)已知函数f(x)=ax In recent years, college entrance examination mathematics finale and simulation questions, there is a class of numerical inequalities that are usually associated with the function inequality lnx ≤ x-1 (x> 0) or its variants, the inequalities or variants on this by the appropriate assignment and Scaling to complete.In this paper, the full excavation of the inequality and the connotation of the foundation, based on examples to reveal the way to solve this type of inequality.Example 1 (2010 Hubei Science entrance examination axis problem) known function f (x) = ax