三个不同的数,a,b,c成等差数列,且a,b,c成等比数列,则a:b:c=
人气:426 ℃ 时间:2019-12-14 02:29:01
解答
a,b,c成等差数列
2b=a+c
a,b,c成等比数列
b²=ac
(a+c)²=4ac a²+2ac+c²=4ac
a²-2ac+c²=0
(a-c)²=0所以a=c
2b=a+c=2c所以b=c
所以a:b:c=1:1:1
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