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近年广东高考数学试题形式多样,解答题的难度区分度逐步拉大,旨在考查学生的知识掌握和运用能力。尤其是改革后的新课标下的高考考查越来越注重学生的综合素质,恒成立问题便是一个考察学生综合素质的很好途径,它主要涉及到一次函数、二次函数等函数的性质、图象,渗透着换元、化归、数形结合、函数与方程等思想方法,在培养思维的灵活性、创造性等方面起到了积极的作用,其形式逐渐多样化,但都与函数、导数知识密不可分。
In recent years, Guangdong college entrance examination math test questions in various forms, the difficulty of answering questions is gradually widened, aimed at examining students’ knowledge and ability to use. In particular, the new curriculum reform after the entrance exam more and more attention to the overall quality of students, the problem is to establish a constant investigation of the overall quality of students is a good way, it mainly involves the nature of a function, quadratic function , Images infiltrate the ways of thinking, such as changing yuan, converting to numbers, combining functions and equations, playing an active role in cultivating the flexibility and creativity of thinking. The forms are gradually diversified but all are related to functions, Derivative knowledge is inseparable.