计算ab/(a+b-1)(a+b)+ab/(a+b)(a+b+1)+ab/(a+b+1)(a+b+2)+.+ab/(a+b+98)(a+b+99)+ab/(a+b+99)(a+b+100)其中a、b满足:-(8的a次方)的平方÷4的5-2b次方=(2的1-b次方)的平方,(9的a次方)的b次方=(3的b次方)的a次方÷27
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![计算ab/(a+b-1)(a+b)+ab/(a+b)(a+b+1)+ab/(a+b+1)(a+b+2)+.+ab/(a+b+98)(a+b+99)+ab/(a+b+99)(a+b+100)其中a、b满足:-(8的a次方)的平方÷4的5-2b次方=(2的1-b次方)的平方,(9的a次方)的b次方=(3的b次方)的a次方÷27](/uploads/image/z/1966353-33-3.jpg?t=%E8%AE%A1%E7%AE%97ab%2F%28a%2Bb-1%29%28a%2Bb%29%2Bab%2F%28a%2Bb%29%28a%2Bb%2B1%29%2Bab%2F%28a%2Bb%2B1%29%28a%2Bb%2B2%29%2B.%2Bab%2F%28a%2Bb%2B98%29%28a%2Bb%2B99%29%2Bab%2F%28a%2Bb%2B99%29%28a%2Bb%2B100%29%E5%85%B6%E4%B8%ADa%E3%80%81b%E6%BB%A1%E8%B6%B3%EF%BC%9A-%EF%BC%888%E7%9A%84a%E6%AC%A1%E6%96%B9%EF%BC%89%E7%9A%84%E5%B9%B3%E6%96%B9%C3%B74%E7%9A%845-2b%E6%AC%A1%E6%96%B9%3D%EF%BC%882%E7%9A%841-b%E6%AC%A1%E6%96%B9%EF%BC%89%E7%9A%84%E5%B9%B3%E6%96%B9%2C%EF%BC%889%E7%9A%84a%E6%AC%A1%E6%96%B9%EF%BC%89%E7%9A%84b%E6%AC%A1%E6%96%B9%3D%EF%BC%883%E7%9A%84b%E6%AC%A1%E6%96%B9%EF%BC%89%E7%9A%84a%E6%AC%A1%E6%96%B9%C3%B727)
计算ab/(a+b-1)(a+b)+ab/(a+b)(a+b+1)+ab/(a+b+1)(a+b+2)+.+ab/(a+b+98)(a+b+99)+ab/(a+b+99)(a+b+100)其中a、b满足:-(8的a次方)的平方÷4的5-2b次方=(2的1-b次方)的平方,(9的a次方)的b次方=(3的b次方)的a次方÷27
计算ab/(a+b-1)(a+b)+ab/(a+b)(a+b+1)+ab/(a+b+1)(a+b+2)+.+ab/(a+b+98)(a+b+99)+ab/(a+b+99)(a+b+100)
其中a、b满足:-(8的a次方)的平方÷4的5-2b次方=(2的1-b次方)的平方,(9的a次方)的b次方=(3的b次方)的a次方÷27
计算ab/(a+b-1)(a+b)+ab/(a+b)(a+b+1)+ab/(a+b+1)(a+b+2)+.+ab/(a+b+98)(a+b+99)+ab/(a+b+99)(a+b+100)其中a、b满足:-(8的a次方)的平方÷4的5-2b次方=(2的1-b次方)的平方,(9的a次方)的b次方=(3的b次方)的a次方÷27
-(8a)2/45-2b=(21-b)2 → -82a/45-2b=22(1-b) → -82a=41-b*45-2b→ -64a=46-3b→ -64a=642-b
→a=b-2 a+b=2
(9a)b=(3b)a/27→9ab=3ab/33 →32ab=3ab-3→2ab=ab-3→ ab=-3
把a+b=2,ab=-3带入式子中,把ab提出来.
最后式子为-3(1/1*2+1/2*3+1/3*4+1/4*5+……+1/100*101+1/101*102)
=-3(1-1/2+1/2-1/3+1/3-1/4+1/4-1/5+……+1/100-1/101+1/101-1/102)
=-3(1-1/102)