maths

2007-10-13 8:19 am
求下列各式中a : b :c這個比:
(a) a : b =1 : 6 & c : b=3:8
(b) a : b =3 : 2 &b : c =2/3 : 1/2
(c) a : b : c=3/4 :1/3 : 5/6

若 3a=5b=4c 求a :b : c

若1/a :1/b =2:3 和 3b=5c 求 a : b : c

回答 (2)

2007-10-13 8:52 am
✔ 最佳答案
1.
(a)
a:b=1:6 => a:b=4:24
b:c=8:3 => b:c=24:9
所以, a:b:c=4:24:9

(b)
a:b=3:2 => a:b=6:4
b:c=2/3:1/2 => b:c=4:3
所以, a:b:c=6:4:3

(c)
a:b:c=3/4:1/3:5/6
全式乘12
a:b:c=9:4:10

2.
3a=5b => a:b=5:3 => a:b=20:12
5b=4c => b:c=4:5 => b:c=12:15
所以, a:b:c=20:12:15

3.
1/a :1/b =2:3 => 3/a=2/b => a:b=3:2 => a:b=15:10
3b=5c => b:c=5:3 => b:c=10:6
所以, a:b:c=15:10:6


有錯請指正!
參考: My Maths knowledge
2007-10-13 9:59 am
1.
(a)
a:b=1:6 => a:b=4:24
b:c=8:3 => b:c=24:9
所以, a:b:c=4:24:9

(b)
a:b=3:2 => a:b=6:4
b:c=2/3:1/2 => b:c=4:3
所以, a:b:c=6:4:3

(c)
a:b:c=3/4:1/3:5/6
全式乘12
a:b:c=9:4:10

2.
3a=5b => a:b=5:3 => a:b=20:12
5b=4c => b:c=4:5 => b:c=12:15
所以, a:b:c=20:12:15

3.
1/a :1/b =2:3 => 3/a=2/b => a:b=3:2 => a:b=15:10
3b=5c => b:c=5:3 => b:c=10:6
所以, a:b:c=15:10:6


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