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导数内容是高等数学与中学数学的一个重要衔接点,因而在全国各地的高考数学试卷中占有相当重的比例.随着高考对导数考查的不断深入,含参导数问题成为高考命题的热点,这类问题经常需要进行分类讨论,因而有一定的难度.本文通过几例,介绍含参导数问题的四个基本分类依据.依据一依据极值点与给定区间的位置关系例1已知函数f(x)=xlnx,g(x)=-x2+ax-3.⑴对一切x∈(0,+∞),2f(x)≥g(x)恒成立,
Derivative content is an important convergence point of higher mathematics and middle school mathematics, and thus occupy a very heavy proportion in the college entrance examination math test papers all over the country. Class problems often need to be discussed in terms of classification, which has a certain degree of difficulty.Through several examples, this paper introduces four basic classification basis with reference parameter problems.According to a based on the extremum point and a given interval of positional relationship Example 1 known function f (x) = xlnx, g (x) = - x2 + ax-3. For all x∈ (0, + ∞) and 2f (x)