Finally discusses the Lagrange mean value theorem proof method of constructing auxiliary function in order to expand on the idea of theorem proving.

最后探讨了拉格朗日中值定理证明中辅助函数的构造方法，以此拓展对定理证明的思路。

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We proved the intermediate value theorem for continuous function at closed interval by constructing auxiliary sequence ingeniously and applying compact theorem as well as Cauchy convergence criterion.

通过巧妙地构造辅助数列，应用致密性定理、柯西收敛准则来证明闭区间上连续函数的介值性定理。

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This paper has discussed method about integal superior function as auxiliary function, which illustrates to how to solve problems by constructing integal superior function as auxiliary function.

本文具体通过以积分上限函数作辅助函数解题的方法的分析，说明在微积分中如何构建辅助函数求解数学问题。

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