(1)a+1/a=(a²+1)/a=(a²+1-2a)/a+2=(a-1)²/a+2(a-1)²≥0 a>0所以(a-1)²/a+2≥2 a+1/a>=2(2)b/a + a/b=(b²+a²)/ab=(b²+a²-2ab)/ab+2=(a-b)²/ab+2a>0,b>0 ab>0 (a-b)²≥0所以(a-b)²/ab+2≥2b/a + a/b >=2