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  • 設(shè)函數(shù)f(x)=sin(πx/2+π/4)x

    設(shè)函數(shù)f(x)=sin(πx/2+π/4)x
    數(shù)學(xué)人氣:211 ℃時間:2020-04-01 10:07:38
    優(yōu)質(zhì)解答
    f(2006)+f(2007)+f(2008)+f(2009)
    =sin(2006π/2+π/4)+sin(2007x/2+π/4)+f(2004)+f(2005)
    =sin(2006π/2+π/4)+sin(2007π/2+π/4)+sin(2004π/2+π/4)+sin(2005π/2+π/4)
    =sin(1004π-π+π/4)+sin(1004π-π/2+π/4)+sin(1002π+π/4)+sin(1002+π/2+π/4)
    =sin(-3π/4)+sin(-π/4)+sin(π/4)+sin(3π/4)
    =0
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