题目内容
比较大小(用“<”连接):
-
,-
,-
-
| 5 |
| 6 |
| 6 |
| 7 |
| 7 |
| 21 |
-
<-
<-
| 6 |
| 7 |
| 5 |
| 6 |
| 7 |
| 21 |
-
<-
<-
.| 6 |
| 7 |
| 5 |
| 6 |
| 7 |
| 21 |
分析:先根据绝对值的意义和通分得到|-
|=
=
,|-
|=
=
,|-
|=
=
,然后根据负数的绝对值越大,这个数越小进行大小比较.
| 5 |
| 6 |
| 5 |
| 6 |
| 35 |
| 42 |
| 6 |
| 7 |
| 6 |
| 7 |
| 36 |
| 42 |
| 7 |
| 21 |
| 7 |
| 21 |
| 14 |
| 42 |
解答:解:∵|-
|=
=
,|-
|=
=
,|-
|=
=
,
∴-
<-
<-
.
| 5 |
| 6 |
| 5 |
| 6 |
| 35 |
| 42 |
| 6 |
| 7 |
| 6 |
| 7 |
| 36 |
| 42 |
| 7 |
| 21 |
| 7 |
| 21 |
| 14 |
| 42 |
∴-
| 6 |
| 7 |
| 5 |
| 6 |
| 7 |
| 21 |
点评:本题考查了有理数大小比较:正数大于0,负数小于0;负数的绝对值越大,这个数越小.
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