摘要
对于初等超越方程,初等数学一般采用图像法求解.然而在绝大多数情况下,图像法无法求出其精确解,有时连解的存在性都无法解决.本文讨论了初等数学中典型的超越方程a~x=x解的存在条件及解的分布位置.从而说明了高等数学对初等数学问题解决的指导作用.
As to elementary transcendental equation, elementary maths generally adapts the solution of diagram method. However in most cases, diagram method cannot locate its accurate solution, sometimes even cannot solve the existence of the solution. This paper focuses on the existence condition and distribution of the solution a typical elementary transcendental equation a^x=x in elementary maths, hence expound the higher maths's the guiding effect in the solution of the elementary maths.