获得一份知识,产生一种方法,反过来,多种方法解题,可以消化基础知识,优化思维素质,提高分析问题和解决问题的能力,现就人教高中第二册(上)第三十一页第3题的多种解法如下.题目:已知ab0,求a2+b(a1-6b)的最小值.解(1)∵a0,b0,∴a2+b(a16-b)≥a2+16b+a-b22=a2+1a62≥16.等号两 Get a knowledge, produce a method, in turn, a variety of methods to solve problems, you can digest the basic knowledge, optimize the quality of thinking, improve the ability to analyze problems and solve problems, now teaches high school second volumes (on) third The multiple solutions for the third problem on page 11 are as follows. Title: Known ab0, find the minimum of a2+b(a1-6b). Solution (1) ∵a0,b0, ∴a2+b(a16-b) ≥ A2+16b+a-b22=a2+1a62≥16. Equal two