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1/a+1/b=3,1/b+1/c=4,1/a+1/c=5,abc/ab+bc+ac=
人气:411 ℃ 时间:2020-06-03 10:15:59
解答
1/a+1/b=3,……(1)
1/b+1/c=4,……(2)
1/a+1/c=5……(3)
(1)+(2)+(3)得2(1/a+1/b+1/c)=12
1/a+1/b+1/c=6
∴abc/ab+bc+ac
=(abc÷abc)/[(ab+bc+ac)÷abc]
=1/[1/a+1/b+1/c]
=1/6
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