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函数与导数的综合问题一直是高考的命题热点,年年出现,模式多样,利用导函数的特殊性可以很好地解决函数的一些问题.本文以2015年新课标的一道函数题为例进行分析讲解,并结合教学实践给出一些建议,供学习参考.考题(2015年全国新课标卷Ⅱ)已知函数f(x)=alnx/(x+1)+b/x,曲线y=f(x)在点(1,f(1))处的切线方程为2y-3=0.
The comprehensive problem of functions and derivatives has always been the hot topic of the college entrance examination, appearing year after year, with various patterns and using the particularity of derivative functions to solve some problems of the function well.This paper analyzes a series of function questions in 2015 New Curriculum Explain, and combined with the teaching practice to give some advice for reference.Examination (2015 New Curriculum Volume II) known function f (x) = alnx / (x +1) + b / x, the curve y = f (x) The tangent equation at point (1, f (1)) is 2y-3 = 0.