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1试题已知函数f(x)=ln(x+1)-ax,a∈R.(Ⅰ)求函数f(x)的单调区间;(Ⅱ)当x>1时,f(x-1)≤lnx/x+1恒成立,求a的取值范围.本题是2016年11月临沂市高三期中试题理科数学的最后一题,是全市统一命题、统一阅卷的检测考试,笔者全程参与了命题、阅卷、统计、分析工作,有颇多的震撼和思考.本题为导数基本应用的常规题目,第(Ⅰ)问利用导数求单调区间,方法比较单一,只是在解不等式的过程中需要对a分类讨论;第
(1) Find the monotone interval f (x) of the function f (x); (2) Find f (x) when x> 1 and f ) ≤lnx / x + 1 constant established, seeking a range of values.This question is in 201616 in Linyi City, the third phase of senior high school mathematics subjects the last question, is the city’s unified proposition, a unified marking test, the author participated in the entire process Proposition, marking, statistics, analysis, there are a lot of shock and thinking.This question is the basic application of derivatives of the general topic, (I) asked the use of derivatives of monotonic intervals, the method is relatively simple, but in the process of solving inequalities need to a classification discussion;