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分析高考试题,从多年的考题中找规律,科学备考是每位高三教师的必修课,笔者也从最近几年的山东省高考试题的研究中得到一些启发,与大家共享。1多题一法高考试题回放例1(2013年高考数学山东卷文科)已知函数f(x)=ax~2+bx-ln x(a、b∈R)。(Ⅰ)设a≥0,求f(x)的单调区间;(Ⅱ)设a>0,且对于任意x>0,厂(x)≥f(1)。试比较ln a与-2b的大小。分析:第(Ⅰ)问是对函数单调性的讨论,由f(x)=ax~2+bx-ln x,x∈(0,+∞)得f′(x)=
Analysis of college entrance examination questions, from years of exam questions to find the law, science preparation is a required course for each junior high school teachers, the author also from the Shandong Provincial College Entrance Examination in recent years some of the research to get some inspiration and share with you. 1 multiple-item method of a college entrance examination playback Example 1 (2013 college mathematics Shandong Vol text) known function f (x) = ax ~ 2 + bx-ln x (a, b ∈ R). (1) Let a> 0, find a monotone interval of f (x); (ii) Let a> 0, and for any x> 0, (x) ≥ f (1). Try to compare the size of ln a and -2b. Analysis: (1) is a discussion of the monotonicity of the function, f (x) = ax ~ 2 + bx-ln x, x∈ (0, + ∞)