题目在锐角三角形ABC中,sin A=2sin Bsin C,则tan Atan Btan C的最小值是____.分析这是2016年高考江苏数学卷的最后一道填空题.主要考查了三角形中在给定限制条件下函数最值问题,试题思维量较大,起点较高,有很好的区分度.这道题已知条件中的角是用“弦”表示的,而要求的是用“切”去表示的,势必要将这两者统一起来.因此,解题的方向有两个:一 The problem is that in the acute triangle ABC, sin A = 2sin Bsin C, then the minimum value of tan Atan Btan C is ____. Analysis This is the last fill-in-the-blank question for the math test in the college entrance examination in 2016. The main test is to examine the triangle at a given limit Under the conditions of the function of the most value problems, the examination questions a large amount of thinking, a higher starting point, there is a good distinction between .This problem known conditions of the corner is “string ”, and the requirement is to use “ Cut ”, it is bound to unify the two, so there are two directions to solve the problem: one