文 [1 ]指出了我国 2 0 0 0年高中数学联赛一道几何题与ＩＭＯ -1 8的几何题的联系 ,并给出其三角证法。很显然 ,前者是后者的引申。反过来 ,在解题的思路上 ,前者就可以化归为后者 ,并从中得到解题的启示。先来看这两个题目 :命题 1 ( 2 0 0 0年联赛题 )　如图 1 ,在锐角三角 The paper [1] pointed out the connection between a geometric problem of the 2000 high school mathematics league in China and the IMO-1 8 geometry problem, and gave its triangular proof method. Obviously, the former is the extension of the latter. On the other hand, on the idea of ​​solving problems, the former can be transformed into the latter and the revelation of problem solving can be obtained from it. Let’s look at these two topics first: Proposition 1 (2010 League title) Figure 1, at the acute triangle