设abc是两两不相等的正数求证bc/a+ca/b+ab/c>a+b+c

Question

设abc是两两不相等的正数 求证bc/a+ca/b+ab/c>a+b+c

Answer 1

bc/a+ca/b+ab/c
=((bc/a+ab/c)+(ab/c+ca/b)+(ca/b+bc/a))/2
>(2b+2a+2c)/2
=a+b+c