...介值性定理，一致连续性定理，完备性定理。 [gap=442]Key words: Continuous function, closed interval, maximum-minimum theorem, intermediate value theorem, uniform continuity theorem, completeness theorem.
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介值性定理
Intermediate value theorem
以上为机器翻译结果，长、整句建议使用 人工翻译 。
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。
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.
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