证明：∵a,b,c是大于0的实数∵b/(a^1/2)＋(a^1/2)≥2(b^1/2)c/(b^1/2)＋(b^1/2)≥2(c^1/2)a/(c^1/2)＋(c^1/2)≥2(a^1/2)三式相加：b/(a^1/2)+c/(b^1/2)+a/(c^1/2)+(a^1/2)+(b^1/2)+(c^1/2)≥2（(a^1/2)+(b^1/2)+(c^1...