美国数学家加涅认为,当我们遇到问题时,或是原封不动地搬用先前学过的原理,或是组合若干原理从而发现新原理来解决问题。现谈一谈韦达定理在数学竞赛求极值题中的应用。例1已知实数a、b、c满足a+b+c=2,abc=4.求:(1)a、b、c中最大者的最小值;(2)|a|+|b|+|c|的最小值。分析:我们 The American mathematician Gagne believes that when we encounter problems, we can either apply the previously learned principles intact or combine some principles to discover new principles to solve problems. Let’s talk about the application of Veda’s theorem in solving extreme problems in mathematics competition. Example 1 is known that real numbers a, b, and c satisfy a+b+c=2, abc=4. Find: (1) the minimum value of the largest of a, b, and c; (2)|a|+|b| The minimum value of +|c|. Analysis: We