在近几年的高考数学试卷中,多变量问题屡有出现,变量的增多使得同学们面对题目摸不着方向.下面结合例题谈谈构造函数解决多变量问题的几种常见解法.一、消元法构造函数例1已知x,y,z∈R,且x+y+z=1,x~2+y~2+z~2=3,则xyz的最大值是______. In recent years college entrance examination mathematics papers, multivariate problems often occur, the increase of variables makes the students face the title touch the direction of the following combination of examples to talk about the constructor to solve multivariate problems of several common solutions. Meta-method constructor example 1 known x, y, z∈R, and x + y + z = 1, x ~ 2 + y ~ 2 + z ~ 2 = 3, then the maximum value of xyz is ______.