文档介绍：《概率论与数理统计》课程论文概率方法在证明等式与不等式中的应用摘要: 本文主要介绍了用概率方法证明不等式的关键步骤。通过构造适当的概率模型,运用概率的性质、定理、公式对一些常用的不等式加以证明,并说明了概率方法的思想在解决问题中的高效性、,显示了概率应用的巧妙性和优越性,不等式的证明方法是多种多样的,本文就利用概率论的思想来证明不等式给出了解题方法,把概率论的思想渗透到不等式的证明中,有助于拓宽接替思路,提高解题能力,理解数学各科间的紧密联系,通过利用概率论的基本性质,随机概率模型,函数的凸凹性,论述不等式证明中的一些概率方法,总结应用概率论的思想证明不等式的方法与技巧。关键词概率方法不等式随机变量概率分布概率随机变量凸函数 jensen 不等式 Probabilistic method to prove the equation and inequality Application SONGdaolei Abstract : This paper describes the use of probabilistic methods prove inequality key steps. By constructing suitable probability model, using probabilistic nature, theorems, formulas for mon inequality to prove and illustrate the idea of ? ? probabilistic met hods in solving problems of efficiency, simplicity and practicality. Elaborated probabilistic methods in inequality proving, showing the probability of ingenious applications and superiority, inequality is diverse, this article on the idea of ? ? using proba bility theory to prove inequality gives problem-solving approach, to rate into the idea of ?