數學問題1條(須列式)

2008-08-09 10:33 pm
若 a:b=1:2及b:c=3:1,求(須列式)

(a) c:a
(b) c^2:a^2

答案係(a) 2:3
(b) 4:9

回答 (3)

2008-08-09 10:41 pm
✔ 最佳答案
(a) a:b=1:2及b:c=3:1

a / b = 1 / 2 , b / c = 3 / 1
a / b * c / b = 1 / 2 * 3 / 1
a / c = 3 / 2
c : a =2 : 3
(b)

c^2 : a^2 = 2^2 : 3^2
=4:9
參考: from my working
2008-08-10 12:13 am
a)
a:b:c
=1.5:3:1
=3:6:2

所以c:a=2:3

b)
c:a=2:3
c^2:a^2=4:9
2008-08-09 10:40 pm
a:b = 1:2
a:b = 3:6
b:c = 3:1
b:c = 6:2
所以a:b:c = 3:6:2
咁c:a = 2:3
c^2:a^2 = 4:9


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