f(x)=asin(πx+α)+bcos(πx+β)+4(a,b,α,β均为非零实数)若f(2012)=6,则f(2013)=?

来源:学生作业帮助网 编辑:作业帮 时间:2024/08/06 15:38:33
f(x)=asin(πx+α)+bcos(πx+β)+4(a,b,α,β均为非零实数)若f(2012)=6,则f(2013)=?
x)KӨдM,8P}nvRr~1ISD#Q'IFsmc˹^tݼgS7h^ad`hikc&cikoTO+ lhnt|dX5Xٹ`s`f`YgÓKQ!0DYdiTi]

f(x)=asin(πx+α)+bcos(πx+β)+4(a,b,α,β均为非零实数)若f(2012)=6,则f(2013)=?
f(x)=asin(πx+α)+bcos(πx+β)+4(a,b,α,β均为非零实数)若f(2012)=6,则f(2013)=?

f(x)=asin(πx+α)+bcos(πx+β)+4(a,b,α,β均为非零实数)若f(2012)=6,则f(2013)=?
f(2012)=asin(2012π+α)+bcos(2012π+β)+4
=asinα+bcosβ+4
=6
所以asinα+bcosβ=2
f(2013)
=asin(2013π+α)+bcos(2013π+β)+4
=asin(π+α)+bcos(π+β)+4
=-asin(α)-bcos(β)+4
=-2+4
=2