已知:2+(2/3)=2²×(2/3),3+(3/8)=3²×(3/8),4+(4/15)=4²×(4/15),5+(5/24)=5²×(5/24),...,若10+(b/a)=10²×(b/a)符合前面式子的规律,则(ab)/(a+b)=_______.
来源:学生作业帮助网 编辑:作业帮 时间:2024/07/17 17:33:22
![已知:2+(2/3)=2²×(2/3),3+(3/8)=3²×(3/8),4+(4/15)=4²×(4/15),5+(5/24)=5²×(5/24),...,若10+(b/a)=10²×(b/a)符合前面式子的规律,则(ab)/(a+b)=_______.](/uploads/image/z/8851970-2-0.jpg?t=%E5%B7%B2%E7%9F%A5%EF%BC%9A2%2B%EF%BC%882%2F3%EF%BC%89%3D2%26%23178%3B%C3%97%EF%BC%882%2F3%EF%BC%89%2C3%2B%EF%BC%883%2F8%EF%BC%89%3D3%26%23178%3B%C3%97%EF%BC%883%2F8%EF%BC%89%2C4%2B%EF%BC%884%2F15%EF%BC%89%3D4%26%23178%3B%C3%97%EF%BC%884%2F15%EF%BC%89%2C5%2B%EF%BC%885%2F24%EF%BC%89%3D5%26%23178%3B%C3%97%EF%BC%885%2F24%EF%BC%89%2C...%2C%E8%8B%A510%2B%EF%BC%88b%2Fa%EF%BC%89%3D10%26%23178%3B%C3%97%EF%BC%88b%2Fa%EF%BC%89%E7%AC%A6%E5%90%88%E5%89%8D%E9%9D%A2%E5%BC%8F%E5%AD%90%E7%9A%84%E8%A7%84%E5%BE%8B%2C%E5%88%99%EF%BC%88ab%EF%BC%89%2F%EF%BC%88a%2Bb%EF%BC%89%3D_______.)
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已知:2+(2/3)=2²×(2/3),3+(3/8)=3²×(3/8),4+(4/15)=4²×(4/15),5+(5/24)=5²×(5/24),...,若10+(b/a)=10²×(b/a)符合前面式子的规律,则(ab)/(a+b)=_______.
已知:2+(2/3)=2²×(2/3),3+(3/8)=3²×(3/8),4+(4/15)=4²×(4/15),
5+(5/24)=5²×(5/24),...,若10+(b/a)=10²×(b/a)符合前面式子的规律,则(ab)/(a+b)=_______.
已知:2+(2/3)=2²×(2/3),3+(3/8)=3²×(3/8),4+(4/15)=4²×(4/15),5+(5/24)=5²×(5/24),...,若10+(b/a)=10²×(b/a)符合前面式子的规律,则(ab)/(a+b)=_______.
b=10
a=10²-1=99
∴ab/(a+b)
=990/109
由规律可知 b=10 a=99 ∴ab=990 a+b=109 ∴(ab)/(a+b)=990/109≈9.0825688073394
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