在深入分析零点定理及介值定理的基础上，对这两个定理的结论进行了推广，得出两条更广泛的定理，使得零点定理和介值定理分别成为它们的特殊情况。并给出了所得定理在方程根的存在性证明中的应用实例。%Based on the thorough analysis,we develop the zero-point theorem and the intermediate value theorem. Two more general corollaries are obtained,that makes the zero-point theorem and intermediate value theorem respectively as their special circumstances. Lastly ,we give several examples to show the application of the two corollaries.
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