首页 > 留学知识库

问题: 求证三角形

已知三角形ABC的三边长为a,b,c 切m为正数,求证;a/(a+m)+b/(b+m)>c/(c+m)

解答:

a/(a+m)+b/(b+m)
=(ab+am+ab+bm)/(ab+am+bm)
=ab/(ab+am+bm)+1>(c+m)/(c+m)>c/(c+m)