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均值不等式是不等式的一个重要变形依据,是高考中不可缺少的解题工具,常用于证明不等式、判断不等式是否成立、求函数的值域或者最值、求字母的取值范围、求解实际问题等,它所能解决的题型遍布高考试题的选择、填空及解答题,但在运用时,同学们往往不能很好的运用均值不等式成立的条件。例如:已知x>0,y>0,且1x+9y=1,求x+y的最小值。解:∵x>0,y>0,且1x+9y=1
The mean inequality is an important deformation basis of inequality. It is an indispensable tool for problem solving in college entrance examination. It is often used to prove the inequality, judge whether the inequality holds, find the value range of the function or the most value, find the range of letters, and solve practical problems. , It can solve the questions all over the choice of college entrance examination questions, fill in the blanks and answer questions, but in the use, students often can not make good use of mean inequality was established conditions. For example: Known x> 0, y> 0, and 1x + 9y = 1, find the minimum value of x + y. Solution: ∵x> 0, y> 0, and 1x + 9y = 1