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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