已知a:b=3:2,b:c=4:5,求a:b:c 已知a/2=b/3=c/4,求a:b:c

\u5df2\u77e5a:b=3:2,b:c=4:5,\u6c42a:b:c

a:b=3:2=6:4
b:c=4:5
a:b:c=6:4:5

1\u3001\u8bbea\uff0f2\uff1db\uff0f3\uff1dc\uff0f4\uff1dx
2\u3001\u5219a\uff1d2x\uff0cb\uff1d3x\uff0cc\uff1d4x
3\u3001\u6240\u4ee5a\uff1ab\uff1ac\uff1d2x\uff1a3x\uff1a4x
4\u3001\u53bb\u6389\u60f3x\uff0c\u53ef\u4ee5\u5f97\u5230\u7b54\u6848\u662f2\uff1a3\uff1a4

\u6269\u5c55\u8d44\u6599\uff1a
\u5b66\u6570\u5b66\u7684\u6280\u5de7\uff1a
\u5b66\u6570\u5b66\u8981\u56f4\u7ed5\u516c\u5f0f\u53bb\u4e3e\u4e00\u53cd\u4e09\uff0c\u8bfb\u6bcf\u4e00\u4e2a\u5df2\u77e5\u6761\u4ef6\u90fd\u8981\u7ed9\u51fa\u6570\u5b66\u601d\u7ef4\u53cd\u9988\uff0c\u7528\u753b\u56fe\u3001\u8bd5\u503c\u7b49\u591a\u79cd\u65b9\u6cd5\u53bb\u6c42\u89e3\uff0c\u4e0d\u8981\u62d8\u6ce5\u4e8e\u552f\u4e00\u89e3\u6cd5\u3002\u6570\u5b66\u6210\u7ee9\u597d\u7684\u5b66\u751f\u90fd\u4e0d\u662f\u5149\u542c\u8bfe\u5c31\u80fd\u5b66\u4f1a\u7684\uff0c\u53ea\u6709\u81ea\u5df1\u591a\u7422\u78e8\u3001\u591a\u53cd\u601d\uff0c\u624d\u80fd\u5b66\u597d\u6570\u5b66\u3002
\u5b66\u597d\u6570\u5b66\u8fd8\u8981\u5584\u4e8e\u603b\u7ed3\u9519\u9898\uff0c\u56e0\u4e3a\u6211\u4eec\u505a\u9519\u7684\u5f88\u591a\u9898\u76ee\u90fd\u5c5e\u4e8e\u540c\u4e00\u7c7b\u578b\uff0c\u628a\u8fd9\u4e9b\u9898\u76ee\u5f52\u7eb3\u4e00\u4e0b\uff0c\u5176\u5b9e\u53ea\u8981\u638c\u63e1\u51e0\u4e2a\u6570\u5b66\u77e5\u8bc6\u70b9\u5c31\u591f\u4e86\uff0c\u5c31\u80fd\u89e3\u51b3\u6389\u5927\u90e8\u5206\u9519\u9898\u3002\u56e0\u6b64\u505a\u6570\u5b66\u9898\u76ee\u8981\u5b66\u4f1a\u878d\u4f1a\u8d2f\u901a\u3001\u7a81\u7834\u96be\u70b9\u3001\u5404\u4e2a\u51fb\u7834\u3002

两个比例式都有项b,
a:b=3:2,所以a=(3/2)b,
b:c=4:5,所以c=(5/4)b,
a:b:c=(3/2)b:b:(5/4)b=3/2:1:5/4=6:4:5

b:c=0.5:2/3=>b:c=1/2:2/3,同乘6=>b:c=3:4
a:b=4:5=>a/b=4/5,右边分子分母同乘3=>a/b=12/15
b:c=3:4=>b/c=3/4,右边分子分母同乘5=>b/c=15/20
所以,a:b:c=12:15:20








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