方程是初等代数学的主要内容,也是数学竞赛的命题热点.方程与函数常常联系在一起,求函数的零点其实就是解方程.在求解方程问题时,常常要用到如下结论.结论设函数f(x)是定义在R上的严格单调函数,g(x)和h(x)是实值函数,则方程f[g(x)]=f[h(x)]与g(x)=h(x)同解.例1(2008年贵州省预 Equations are the main content of elementary algebra and are the hot topics of the mathematical contest.Equations and functions are often linked together, and finding the zero point of the function is actually solving the equation.When solving the equation problem, we often use the following conclusion.Conclusion Let f (x) is a strictly monotonic function defined on R and g (x) and h (x) are real-valued functions. h (x) with the solution. Example 1 (Guizhou Province in 2008 pre-