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数学教学中常常遇到恒成立问题,解决恒成立问题有利于提高学生的综合解题能力,在培养思维的灵活性、创造性等方面起到了积极的作用.本文将从一次函数和二次函数来讨论部分函数恒成立问题.一、一次函数型给定一次函数y=f(x)=kx+b(k≠0),若y=f(x)在[m,n]内恒有f(x)>0,则根据函数的图象(线段)
In mathematics teaching, constant establishment problems are often encountered. Solving permanent establishment problems is beneficial to students’ ability of comprehensive problem-solving, and plays an active role in cultivating thinking flexibility and creativity. This article will be based on a function and a quadratic function. Discussion of the constant function of part of the problem. First, a function of a given function y = f (x) = kx + b (k ≠ 0), if y = f (x) in the [m, n] constant f ( x)> 0, according to the image of the function (line segment)