比较大小,说明理由:①(x+y)/2 ②根号下xy ③2xy/(x+y)
问题描述:
比较大小,说明理由:①(x+y)/2 ②根号下xy ③2xy/(x+y)
答
(√x+(√y)^2 = x+y-2(√xy)>=0
(x+y)/2>=(√xy)
2/(x+y)2xy/(x+y)即(x+y)/2>=(√xy)>=2xy/(x+y)