题目内容
已知:| a |
| 3 |
| b |
| 5 |
| c |
| 7 |
| 1 |
| a |
| 1 |
| b |
| 1 |
| c |
分析:设
=
=
=
,先根据比例的性质求得a、b、c的值,然后代入所求的式子求解即可.
| a |
| 3 |
| b |
| 5 |
| c |
| 7 |
| t |
| 1 |
解答:解:设
=
=
=
,则
a=3t,b=5t,c=7t,
∵3a+2b-4c=9,
∴9t+10t-28t=9,
解得t=-1,
a=-3,b=-5,c=-7,
∴
+
+
,
=-(
+
+
),
=-
.
| a |
| 3 |
| b |
| 5 |
| c |
| 7 |
| t |
| 1 |
a=3t,b=5t,c=7t,
∵3a+2b-4c=9,
∴9t+10t-28t=9,
解得t=-1,
a=-3,b=-5,c=-7,
∴
| 1 |
| a |
| 1 |
| b |
| 1 |
| c |
=-(
| 1 |
| 3 |
| 1 |
| 5 |
| 1 |
| 7 |
=-
| 71 |
| 105 |
点评:本题是基础题,考查了比例的基本性质,比较简单.
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