已知a:b:c=6:8:9…
①求1/a:1/b:1/c。
要求每一步驟，不能缺少
最佳回答取20分:已知a:b:c=6:8:9…
2007-04-14 8:16 am
回答 (5)
2007-04-14 8:33 am
✔ 最佳答案
由於a:b:c=6:8:9假設a係6.......
禁b就係8，c就係9.....
好易明.......
轉做分數.....
1/a = 1/6
1/b = 1/8
1/c = 1/9
通分母 (72)
1/a = 1/6 = 12/72
1/b = 1/8 = 9/72
1/c = 1/9 = 8/72
所以.....答案就係：
1/a：1/b：1/c = 12：9：8
2007-04-14 8:41 am
a:b:c =6:8:9
所以 a:b=6:8=3:4
4a=3b
然後 a=(3b)/4
b:c=8:9
9b=8c
所以 c=(9b)/8
1/a=1/[(3b)/4]
=4/(3b)
1/a: 1/b = 4/(3b) ÷ 1/b
= 4/(3b) x b
=4/3 =4:3
1/c = 1/[(9b)/8]
=8/(9b)
1/b :1/c = 1/b ÷ 8/(9b)
= 1/b x (9b/8)
=9/8
= 9:8
然後
1/a : 1/b :1/c
= 12:9:8
唔知咁樣你睇唔睇得明呢?
希望可以幫到你=]
所以 a:b=6:8=3:4
4a=3b
然後 a=(3b)/4
b:c=8:9
9b=8c
所以 c=(9b)/8
1/a=1/[(3b)/4]
=4/(3b)
1/a: 1/b = 4/(3b) ÷ 1/b
= 4/(3b) x b
=4/3 =4:3
1/c = 1/[(9b)/8]
=8/(9b)
1/b :1/c = 1/b ÷ 8/(9b)
= 1/b x (9b/8)
=9/8
= 9:8
然後
1/a : 1/b :1/c
= 12:9:8
唔知咁樣你睇唔睇得明呢?
希望可以幫到你=]
2007-04-14 8:30 am
1/a:1/b:1/c=1/6:1/8:1/9
because6*8*9=432
so 432*(1/6:1/8:1/9)=72:54:48=12:9:8
so1/a:1/b:1/c=12:9:8
because6*8*9=432
so 432*(1/6:1/8:1/9)=72:54:48=12:9:8
so1/a:1/b:1/c=12:9:8
參考: 自己計既....唔確定岩唔岩...希望可以幫到你
2007-04-14 8:29 am
a:b:c=6:8:9
a/b=6/8=3/4
1/a:1/b=1/a*b=b/a=b:a=4:3
b/c=8/9
1/b:1/c=1/b*c=c/b=c:b=9:8
1/a:1/b=4:3=12:9
1/a:1/b:1/c=12:9:8
a/b=6/8=3/4
1/a:1/b=1/a*b=b/a=b:a=4:3
b/c=8/9
1/b:1/c=1/b*c=c/b=c:b=9:8
1/a:1/b=4:3=12:9
1/a:1/b:1/c=12:9:8
2007-04-14 8:26 am
a:b:c=6:8:9
求1/a:1/b:1/c
1/a:1/b=b/a=8:6
1/b:1/c=c/b=9:8
1/a:1/b:1/c=24:18:16
=12:9:8
求1/a:1/b:1/c
1/a:1/b=b/a=8:6
1/b:1/c=c/b=9:8
1/a:1/b:1/c=24:18:16
=12:9:8
收錄日期: 2021-04-23 21:14:11
原文連結 [永久失效]:
https://hk.answers.yahoo.com/question/index?qid=20070414000051KK00091