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近几年来,不等式恒成立问题成为了高三复习迎考训练与高考的一个热点与难点,它涉及到一次函数、二次函数、指数函数、对数函数、圆锥曲线的性质、图象,渗透着分类讨论、化归与转化、数形结合、函数与方程等数学思想与方法,能充分的考查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,因此备受命题者青睐。仅从近几年高考来看,全国卷(Ⅱ)和包括浙江、上海、天津、福建、湖南在内的很多自主命题试卷中都有不等式恒成立
In recent years, the problem of inequality has become a hot and difficult point in the training and entrance examination of the third year review. It involves the function, quadratic function, exponential function, logarithmic function, and the nature and image of conic curves. The mathematics ideas and methods such as classification discussion, transformation and transformation, combination of numbers and shapes, functions and equations can fully examine students’ comprehensive problem-solving abilities and play an active role in cultivating thinking flexibility, creativity, etc. Subjects favored. Only from the college entrance examinations in recent years, the inequality has always been established in the national volume (II) and many independent proposition tests including Zhejiang, Shanghai, Tianjin, Fujian, and Hunan.