若x10=a0+a1(x-1)+a2(x-1)2+…+a10(x-1)10(a0,a1,…,a10∈R),则a1=________.

发布时间:2020-07-31 21:37:00

若x10=a0+a1(x-1)+a2(x-1)2+…+a10(x-1)10(a0,a1,…,a10∈R),则a1=________.

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10
解析分析:由x10=[(x-1)+1]10=a0+a1(x-1)+a2(x-1)2+…+a10(x-1)10,知a1=C101=10.

解答:∵x10=[(x-1)+1]10=a0+a1(x-1)+a2(x-1)2+…+a10(x-1)10,∴a1=C101=10.故
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