第一题:
把x1+x2 x1 x2 代入 f(x)=2^(-x),
f([x1+x2]/2)-[f(x1)+f(x2)]/2
=1/{2^[(x1+x2)/2]}
-(2^x1+2^x2)/(2*2^x1*2^x2)
=-[2^x1-2*2^(x1/2)*2^(x2/2)+2^x2]
=-[2^(x2/2)+2^(x1/2)]^2
因为x1≠x2,所以上式恒
第一题:
把x1+x2 x1 x2 代入 f(x)=2^(-x),
f([x1+x2]/2)-[f(x1)+f(x2)]/2
=1/{2^[(x1+x2)/2]}
-(2^x1+2^x2)/(2*2^x1*2^x2)
=-[2^x1-2*2^(x1/2)*2^(x2/2)+2^x2]
=-[2^(x2/2)+2^(x1/2)]^2
因为x1≠x2,所以上式恒