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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Mean value theorem and Taylor formula are generally proofed by constructing an auxiliary function.

中 值 定理 是研究函数特性的一个有力工具。

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