已知f(x)=4的x次方⼀4的x次方+2,则f(1⼀11)+f(2⼀11)+******+f(10⼀11)=?

要详细过程,谢谢
2025-01-05 17:05:33
推荐回答(1个)
回答(1):

f(1-x)=4^(1-x)/(4^(1-x)+2)
=4/(4+2*4^x)
=2/(2+4^x)
f(x)+f(1-x)
=4^x/(4^x+2)+2/(4^x+2)
=(4^x+2)/(4^x+2)
=1

f(1/11)+f(2/11)+******+f(10/11)
=[f(1/11)+f(10/11)]+...+[f(5/11)+f(6/11)]
=1+1+1+1+1
=5