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在数学的学习中,我们常常会碰到一些超越方程的求解问题,这类题目通常解法较为复杂,难以找到便捷巧妙的解题方法,解题存在一定的难度,现笔者根据根的存在性定理作些研究。一、定理及其对定理的理解定理:若函数f(x)在[a,b]连续,且f(a)·f(b)<0,则函数f(x)在(a,b)有零点。对定理的理解:(1)定理的结论可以强化为:函数f(x)在(a,b)至少有1个零点;(2)若函数f(x)在(a,b)有
In the study of mathematics, we often encounter some solutions to the problem of transcendental equations. Such problems are usually complicated to solve, and it is difficult to find a convenient and clever solution to the problem. There is a certain difficulty in solving the problem. Now, according to the existence theorem Make some research. A Theorem and Its Theorem of Consensus Theorem: If the function f (x) is continuous in [a, b] and f (a) · f (b) <0, the function f There are zero points. (2) If the function f (x) has (a, b) there is at least one zero point in (a, b)