2abb2a⼀般已测:3235 次正确率:92.2 %1. 若 a>b>0,且 ab = 1,则下列不等式成⽴的是( )A. a + 1 < b b>0,且 ab = 1,∴可取 a = 2,b = 1 .12 1则 a += 4, b = 2 = 1 ,log(a + b) = log(2 + 1 ) = log 5 (1, 2)∈,b2a2282222 2∴ b b,则( )A. ac>bcB. 1 < 1abC. a2>b2D. a3>b3考点:不等式⽐较⼤⼩知识点:不等关系与不等式、实数⽐较⼤⼩答案:D解析:当 c = 0 时,选项 A 不成⽴;当 a>0,b<0 时,选项 B 不成⽴;当 a = 1,b = −5 时,选项 C 不成⽴; a3 − b3 = (a − b)(a2 + ab + b2)= (a − b)[(a + b )2 + 3b 2]>0,24故选 D.⼀般已测:4257 次正确率:75.3 %3. 已知定义在 R 上的函数 f (x) = 2∣x−m ∣−1(m 为实数)为偶函数.记a = f (log0.53), b = f (log2 5), c = f (2m),则 a, b, c 的⼤⼩关系为( )A. a