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利用基本不等式求最值,关键是一正、二定、三相等,对于前两个要求,学生较易掌握,但对于“=”号能否成立,学生会经常忽略.而要保证等号成立,可以通过均拆法来实现,对于较复杂的问题,还需要利用待定系数法等方法才能完成.另外,当此类问题与离散型问题相结合时,更要关注等号能否成立,否则就会出现科学性错误.本文通过研究性学习的方式,给出保证等号成立的多种方法,使学生充分认识等号成立的重要性.
The use of basic inequalities for the most value, the key is a positive, two fixed, three equal, for the first two requirements, students easier to grasp, but for the “=” number can be established, students will often ignore. For the more complicated problems, it is also required to use the method of undetermined coefficient method etc. In addition, when such problems are combined with discrete problems, more attention should be paid to whether the equal sign can be established, Otherwise there will be a scientific error.This paper through the study of learning methods, to give guarantee equal number of ways to set up, so that students fully understand the importance of the establishment of equal sign.