已知f(x)=4x方/4x方+2,求f(1/2011)+f(2/2011).+f(2010/2011)
人气:407 ℃ 时间:2020-05-05 08:21:54
解答
f(x)=4^x/(4^x+2)当x1+x2=1时,f(x1)+f(x2)=4^x1/(4^x1+2)+4^x2/(4^x2+2)=[4^x1(4^x2+2)+4^x2(4^x1+2)]/[(4^x1+2)(4^x2+2)]=[2*4^(x1+x2)+2*4^x1+2*4^x2]/[4^(x1+x2)+2*4^x1+2*4^2+4]=(8+2*4^x1+2*4^x2)/(8+2*4^x1+2*...
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