y=2sin(πx\4),求f(1)+f(2)+f(3)+f(4)+f(5)+f(6)+f(7)+f(8)+f(9)+f(10)+f(11)的值?希望给出详细的解析
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![y=2sin(πx\4),求f(1)+f(2)+f(3)+f(4)+f(5)+f(6)+f(7)+f(8)+f(9)+f(10)+f(11)的值?希望给出详细的解析](/uploads/image/z/6856686-54-6.jpg?t=y%3D2sin%28%CF%80x%5C4%29%2C%E6%B1%82f%281%29%2Bf%EF%BC%882%EF%BC%89%2Bf%283%29%2Bf%284%29%2Bf%285%EF%BC%89%2Bf%EF%BC%886%EF%BC%89%2Bf%287%EF%BC%89%2Bf%EF%BC%888%EF%BC%89%2Bf%289%29%2Bf%2810%29%2Bf%EF%BC%8811%EF%BC%89%E7%9A%84%E5%80%BC%3F%E5%B8%8C%E6%9C%9B%E7%BB%99%E5%87%BA%E8%AF%A6%E7%BB%86%E7%9A%84%E8%A7%A3%E6%9E%90)
y=2sin(πx\4),求f(1)+f(2)+f(3)+f(4)+f(5)+f(6)+f(7)+f(8)+f(9)+f(10)+f(11)的值?希望给出详细的解析
y=2sin(πx\4),求f(1)+f(2)+f(3)+f(4)+f(5)+f(6)+f(7)+f(8)+f(9)+f(10)+f(11)的值?
希望给出详细的解析
y=2sin(πx\4),求f(1)+f(2)+f(3)+f(4)+f(5)+f(6)+f(7)+f(8)+f(9)+f(10)+f(11)的值?希望给出详细的解析
f(x)=2sin(πx\4),
最小正周期T=2π/(π/4)=8
f(1)=2sin(π/4)=根号2
f(2)=2sin(π/2)=2
f(3)=2sin(3π/4)=根号2
f(4)=2sin(4π/4)=0
f(5)=2sin(5π/4)=-根号2
f(6)=2sin(6π/4)=-2
f(7)=2sin(7π/4)=-根号2
f(8)=2sin(8π/4)=0
f(9)=f(8+1)=f(1)=根号2
f(10)=f(2)=2
f(11)=f(3)=根号2
所以,【f(1)+f(2)+f(3)+f(4)+f(5)+f(6)+f(7)+f(8)】+【f(9)+f(10)+f(11)】=0+2+2根号2
=2+2根号2