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一元二次不等式恒成立问题在高考中经常出现,由于涉及的知识面广,制约条件复杂,参变量的潜在约束比较隐晦,考生在解题时,不易理清思路,抓不住关键,往往半途而废。恒成立问题,涉及到一次函数、二次函数的性质、图象,渗透着换元、化归、数形结合、函数与方程等思想方法,有利于考查我们的综合解题能力,在培养思维的灵活性、创造性等方面起到了积极的作用。
Constraints of a dollar quadratic inequalities often appear in the college entrance examination, due to the wide range of knowledge involved, the constraints of complex, variable parameters of the potential constraints more obscure, the candidates in solving problems, not easy to sort out ideas, can not seize the key, often halfway . Constantly set up the issue, involving a function, quadratic function of the nature of the image, permeated with the yuan, the return of the number and form, function and equation and other methods are conducive to examine our ability to solve problems in training thinking Flexibility and creativity have played a positive role.