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用求导法确定方程根的分布区间和根的个数,常按以下步骤来进行:①建立好辅助函数G(x)=(?)(x)-g(x)[或y=Q(x)];②对函数y=G(x)[或y=Q(x)]求导,并确定其单调区间和单调性,求出相关的极值或最值;③画出函数y= G(x)[或y=Q(x)]的单调性变化示意图,利用数形结合思想确定其与x轴(或直线y=m)的交点个数和交点的分布区间,从而得出所求的结论.下面通过举例加以说明.
Using the derivative method to determine the distribution interval and the number of roots of the root of the equation, usually follow the following steps: 1 establish a good auxiliary function G (x) = (?) (x)-g (x) [or y = Q ( x)];2 Find the function y=G(x)[or y=Q(x)] and determine its monotonic interval and monotonicity to find the associated extreme or maximum value; 3 Draw the function y= The monotonicity change diagram of G(x)[or y=Q(x)] is used to determine the number of intersections and intersections of intersection points with the x-axis (or line y=m) using the idea of number combination to obtain the required The conclusions below are illustrated by examples.