已知a、b均为正数,与1/a+1/b=-(1/a+b)矛盾。再检查下原题。 思路:(b/a)²+(a/b)²=(b/a)²+(a/b)²+2-2=[(b/a)+(a/b)]²-2=[(b²+a²)/(ab)]²-2=[(a+b)²/(ab)-2]²-2