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(1/8+1/9+1/10+1/11)*(1/9+1/10+1/11+1/12)-(1/8+1/9+1/10+1/11+1/12)*(1/9+1/10+1/11)等于?
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人气:160 ℃ 时间:2020-02-03 21:56:43
解答
设1/9+1/10+1/11=a
∴(1/8+1/9+1/10+1/11)*(1/9+1/10+1/11+1/12)-(1/8+1/9+1/10+1/11+1/12)*(1/9+1/10+1/11)
=(1/8+a)(a+1/12)-(1/8+a+1/12)a
=1/96+a/8+a/12+a²-a/8-a²-a/12
=1/96
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