下列四组有理数的大小比较正确的是()A.-12>-13B.-|-1|>-|+1|C.12<13D.|-12|>|-13|-数学

题目简介

下列四组有理数的大小比较正确的是()A.-12>-13B.-|-1|>-|+1|C.12<13D.|-12|>|-13|-数学

题目详情

下列四组有理数的大小比较正确的是(  )
A.-
1
2
>-
1
3
B.-|-1|>-|+1|C.
1
2
1
3
D.|-
1
2
|>|-
1
3
|
题型:单选题难度:中档来源:不详

答案

A、错误,∵-class="stub"1
2
=-class="stub"3
6
<0,-class="stub"1
3
=-class="stub"2
6
<0,|-class="stub"3
6
|>|-class="stub"2
6
|,
∴-class="stub"3
6
<-class="stub"2
6
,即-class="stub"1
2
<-class="stub"1
3

B、错误,∵-|-1|=-1,-|+1|=-1,∴-|-1|=-|+1|;
C、错误,∵class="stub"1
2
=class="stub"3
6
class="stub"1
3
=class="stub"2
6
class="stub"3
6
class="stub"2
6
,∴class="stub"1
2
class="stub"1
3

D、正确,∵|-class="stub"1
2
|=class="stub"1
2
=class="stub"3
6
,|-class="stub"1
3
|=class="stub"1
3
=class="stub"2
6
class="stub"3
6
class="stub"2
6

∴|-class="stub"1
2
|>|-class="stub"1
3
|.
故选D.

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