本文中,笔者从课本中一道题为例,探源溯流,给出竞赛题命题的题根,并试图给出一种高效学习数学的方法,敬请同行指正.引例人教版A选修2-2第32页B组第1题,利用函数的单调性,证明不等式,并通过函数图象直观验证:(3)e~x>1+x,x≠0. In this article, the author from a textbook in a case as an example, explore the source, given the title of the competition proposition, and try to give an efficient way to learn mathematics, please correct me. -2 第 32 页 Group B Problem 1, using the monotonicity of the function, prove the inequality, and visually verify the function image: (3) e ~ x> 1 + x, x ≠ 0.