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研究性学习就是要让学生主动地参与研究过程,获得亲身体验,培养其良好的科学态度和学会进行科学研究的方法,并不在乎能不能取得什么成果或发现。本文从一节课中的一道练习题谈研究性学习的落实。已知函数f(x)=Inx+m/x(x∈R),若对任意b>a>0,都有(f(b)-f(a))/(b-a)<1恒成立,求m的取值范围。部分学生破题点为:若对任意b>a>0,都有(f(b)-f(a))/(b-a)<1
Research-based learning is to enable students to actively participate in the research process, to gain personal experience, develop their good scientific attitude and learn how to conduct scientific research, regardless of what can be achieved or found. This article discusses the implementation of the study of learning from an exercise in a lesson. It is known that the function f (x) = Inx + m / x (x∈R), and (f (b) -f (a)) / (ba) <1 holds true for any b> a> Find the value of m range. Some students break the point: if for any b> a> 0, there are (f (b) -f (a)) / (b-a) <1