【方法感悟】阅读下面材料:点A,B在数轴上分别表示实数a,b,A,B两点之间的距离表示为|AB|.如图1,从数轴上看,若点A,B表示的分别是1,4则|AB|=|4-1|=3或|AB|=|1-4|=3;
若点A,B表示的数分别是-1,4则|AB|=|4-(-1)|=4+1=5或|AB|=|-1-4|=|-5|=5;
若点A,B表示的数分别是-1,-4,则|AB|=|(-1)-(-4)|=|-1+4|=3或|AB|=|-4-(-1)|=|-4+1|=3.
【归纳】若点A,B表示的数分别是x1 , x2则|
或 ![](http://math.21cnjy.com/mml2svg?mml=%3Cmath+xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F1998%2FMath%2FMathML%22%3E%3Cmo%3E%7C%3C%2Fmo%3E%3Cmi%3EA%3C%2Fmi%3E%3Cmi%3EB%3C%2Fmi%3E%3Cmo%3E%7C%3C%2Fmo%3E%3Cmo%3E%3D%3C%2Fmo%3E%3Cmo%3E%7C%3C%2Fmo%3E%3Cmsub%3E%3Cmi%3Ex%3C%2Fmi%3E%3Cmn%3E2%3C%2Fmn%3E%3C%2Fmsub%3E%3Cmo%3E%E2%88%92%3C%2Fmo%3E%3Cmsub%3E%3Cmi%3Ex%3C%2Fmi%3E%3Cmn%3E1%3C%2Fmn%3E%3C%2Fmsub%3E%3Cmo%3E%7C%3C%2Fmo%3E%3Cmo%3E.%3C%2Fmo%3E%3C%2Fmath%3E)
![](http://tikupic.21cnjy.com/2024/09/18/c4/c4/c4c4886cfee0e413ff333eed3f45b21f.png)