x10=a0+a1(x-1)+a2(x-1)2+…+a10(x-1)10,则a7的值为()A.-120B.45C.120D.-45-数学

题目简介

x10=a0+a1(x-1)+a2(x-1)2+…+a10(x-1)10,则a7的值为()A.-120B.45C.120D.-45-数学

题目详情

x10=a0+a1(x-1)+a2(x-1)2+…+a10(x-1)10,则a7的值为(  )
A.-120B.45C.120D.-45
题型:单选题难度:中档来源:不详

答案

因为x10=[(x-1)+1]10=a0+a1(x-1)+a2(x-1)2+…+a10(x-1)10,
所以a7=C103=120
故选C.

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