比例的數!!!>

2009-02-25 9:11 pm
若3a=4b=5c
則1/a : 2/b : 3/c =??????

請例式!!我諗唔到點做...thx

回答 (3)

2009-02-25 10:54 pm
✔ 最佳答案
若3a=4b=5c 則1/a : 2/b : 3/c =?????? 再加一條件 abc<>0

3,4,5 的最小公倍數 60
令 3a=4b=5c=60k
a=20k,b=15k,c=12k
b/2=7.5k,c/3=4k
a:b/2:c/3=20k:7.5k:4k=20:7.5:4
1/a:2/b:3/c=(1/20):(1/7.5):(1/4)
20*7.5*4=600
1/a:2/b:3/c=30:80:150=3:8:15
2009-02-25 11:26 pm
Let 3a = 4b = 5c = k
so 1/a = 3/k
1/b = 4/k and 2/b = 8/k
1/c = 5/k and 3/c = 15/k
so 1/a : 2/b : 3/c = 3/k : 8/k : 15/k = 3 : 8 : 15.


2009-02-25 9:51 pm
設 3a=4b=5c=k, 則1/a : 2/b : 3/c = 3:2x4:3x5=3:8:15
如果唔明白
3a=4b=5c,
3a=4b,  a:b=4:3= 20:15
4b=5c, b:c=5:4= 15:12
a:b:c=20:15:12
1/a:2/b:3/c= 1/20:2/15:3/12
=3:8:15
參考: myself


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