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数学思想方法是从数学知识中提炼出来的精华,是将知识转化为能力的桥梁,同时也是高考考查的重点.下面通过一道高考题说明数学思想在不等式恒成立中的应用,旨在开启思维、拓宽思路、提高能力.例 (2006年高考数学江西卷)若不等式 x~2+ax+1≥0对一切 x∈(0,1/2]成立,则 a 的最小值为( ).A.0 B.-2 C.-5/2 D.-3
Mathematical thinking methods are the essence extracted from the knowledge of mathematics, and they are the bridges for transforming knowledge into competence. At the same time, they are also the focus of the college entrance examination. The following uses a college entrance examination question to illustrate the application of mathematics thinking in the establishment of inequality, aiming to open up thinking, Broaden the train of thought and improve the ability. Example (2006 Jiangxi Mathematics for College Entrance Examination) If the inequality x~2+ax+1≥0 is true for all x∈(0,1/2), then the minimum value of a is ().A. 0 B.-2 C.-5/2 D.-3