解:如果$a,$$b$都是有理数,且$a > b,$那么$|a|$不一定大于$|b|。$
举例:设$a = 1,$$b = -2,$满足$a > b,$但$|a| = 1,$$|b| = 2,$此时$|a| < |b|。$
如果$|a| > |b|,$那么$a$不一定大于$b。$
举例:设$a = -3,$$b = 1,$满足$|a| = 3 > |b| = 1,$但$a = -3 < b = 1。$
结论:$a > b$时$|a|$不一定大于$|b|;$$|a| > |b|$时$a$不一定大于$b。$