高考资源网() 您身边的高考专家教材习题点拨习题2.11证明:(作差法)a3b3ab(ab)(ab)(a2abb2)ab(ab)(ab)(a2abb2ab)(ab)(a2b2),ab,ab0,a2b20.a3b3ab(ab)0,即a3b3ab(ab)2证明:(作差法)(a2b2)(c2d2)(acbd)2a2c2b2d2a2d2b2c2a2c2b2d22abcda2d2b2c22abcd(adbc)2.adbc,adbc0.(adbc)20.(a2b2)(c2d2)(acbd)2.3证明:(作差法)a46a2b2b44ab(a2b2)(a2b2)24a2b24ab(a2b2)(a2b22ab)2(ab)4.ab,ab0.(ab)40,a46a2b2b44ab(a2b2)4证明:(作商法)abacbc,若abc,则1,ab0,1,ac0,1,bc0.abacbc1.同理其他的情况也成立即a2ab2bc2cabcbcacab.高考资源网版权所有,侵权必究!