文章首先讨论了数学分析对提高中学数学教师素质的作用.从中学的相似之处谈起.通过对一些具体的实例分析,论述了极限、积分学、微分学在解决中学数学中有关于不等式与恒等式的证明、函数极值、方程根的讨论、函数的性态、几何问题等方面问题中应用.
翻译方法/技巧如下：
主语：文章(The article)
谓语：首先讨论了
( start with discussing / begin with discussing ）
（ be first to discuss / firstly discuss)
宾语：作用 roles
修饰宾语的后置定语：数学分析对提高中学数学教师素质的
(Mathematics analysis has played roles in the improvement of the qualities of math teachers of senior high school)
Mathematics analysis has played roles in improving of the qualities of math teachers of senior high school)
非常有用的固定短语结构：A play a role in . B=..A..在…B 中起作用
This article began with discussing the functions /usages/roles that mathematics analysis has played in enhancing /improving the qualities of the maths teachers of senior high school
The article started with the discussion of the roles which maths analysis has played in the enhancing /improving the qualities of the maths teachers of senior high school
The article is first to discuss the roles which are based on the improvement of the qualities of the maths eachers of senior high school with mathematics analysis
The article firstly discussed the roles maths that analysis has played in improving the qualities of maths teachers of senior high school