设a,b,c为正实数,求证1/a^3+ 1/b^3+ 1/c^3+ abc>=2根号3

设abc为正实数,求证:a+b+c 设a,b,c为正实数,求证1／a+1／b+1／c+abc≥2√3 设a,b,c为正实数,求证1／a3+1／b3+1／c3+abc≥2√3 设a.b.c为正实数,求证：1/a3+1/b3+1/c3+>=2根号3 设a b c均为正实数 求证1/2a+1/2b+1/2C >= 1/(b+c)+1/(c+a)+1/(a+b) 设a,b,c均为正实数,求证：1/2a+1/2b+1/2c》1/(b+c)+1/(c+a)+1/(a+b) 设a,b,c,属于正实数,求证a/(b+c)+b/(c+a)+c/(a+b)>=2/3 设a,b,c均为正实数,求证：a/(b+c)+b/(a+c)+c/(a+b)大于等于3/2 设a,b,c为正实数,求证1/a^3+ 1/b^3+ 1/c^3+ abc>=2根号3 设a.b.c为正实数求证1/a^3+1/b^3+1/c^3+abc>=2√3 设a,b,c为正实数,求证；a^5+b^5+c^5大于等于a^3bc+b^3ac+c^3ab急 设a,b,c为正实数,求证；a^5+b^5+c^5大于等于a^3bc+b^3ac+c^3ab 设a,b,c均为正实数,求证:a+1/b,b+1/c,c+1/a中至少有一个不小于2如题~ 设a,b,c 为正实数,且abc=1,求证：1/a^3(b+c)+1/b^3(c+a)+1/c^3(a+b)大于或等于3/2 a,b,c为正实数,a^2+b^2+c^2=9,求证abc+1>3a 设abc都是正实数,求证a^3+b^3+c^3≥1/3(a^2+b^2+c^2)(a+b+c) 设abc为正实数.且A+B=C 求证a^(2/3)+b^(2/3)>c^(2/3)如题.. 为正实数,a+b+c=1.求证a^2+b^2+c^2≥1/3