证明函数零点问题的研究

Proof Methods for the Function Which Has Only One Zero Point

证明函数有且只有一个零点,通过构造方程,转化成方程有且仅有一个实根的问题,然后利用闭区间上连续函数的性质以及微分中值定理或函数单调性即可证明。

We can prove the function has only one zero through the constructing equation,the problem transformed into solving the equation which has only one real root,then we can solve it by the property of continuous function in closed interval and differential mean value theorem or Monotone Function.