利用均值定理求最值的技巧

来源 :农家科技（下旬刊） | 被引量 : 0次 | 上传用户：caikesbad

【摘要】

：

均值定理(一正,二定,三相等)rn1.设a,b∈R+,若a+b=S(S为常数),则ab≤S2/4(当且仅当时取等)[和为定值,积有最大值]rn2.设a,b∈R+,,若ab=P(p为常数),则a+b≥2√P(当且仅当时取

【作者】

：

徐旭婷

【机构】

：

西南大学数学与统计学院

【出处】

：

农家科技（下旬刊）

【发表日期】

：

2012年5期

【关键词】

：

均值定理求最值常数最小值最大值直接用三相等题型解析函数高考

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均值定理(一正,二定,三相等)rn1.设a,b∈R+,若a+b=S(S为常数),则ab≤S2/4(当且仅当时取等)[和为定值,积有最大值]rn2.设a,b∈R+,,若ab=P(p为常数),则a+b≥2√P(当且仅当时取等)[积为定值,和有最小值]rn以下以往年高考题型为例,解析如何用均值定理求函数的最值.rn1.直接用均值定理求最值

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利用均值定理求最值的技巧

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