一道高中数学 类比推理题,急需帮助
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f(x)+f(1-x)=1/(2^x-√2)+1/(2^(1-x)-√2)
=1/(2^x-√2)+1/[(2/2^)-√2]
=1/(2^x-√2)+2^x/(2-2^x*√2)
=√2/(2^x*√2-2)+2^x/(2-2^x*√2)
=√2/(2^x*√2-2)-2^x/(2^x*√2-2)
=(√2-2^x)/(2^x*√2-2)
=-(2^x-√2)/√2(2^x-√2)
=-1/√2
=-√2/2
自变量的和=1 (x+1-x=1)
函数值的和=-√2/2
S=f(-5)+f(-4)+……+f(0)+f(1)+……+f(5)+f(6)
S=f(6)+f(5)+……+f(1)+f(0)+……+f(-4)+f(-5) 相加
2S=-√2/2-√2/2……-√2/2-√2/2……-√2/2-√2/2=-6√2
S=-3√2
=1/(2^x-√2)+1/[(2/2^)-√2]
=1/(2^x-√2)+2^x/(2-2^x*√2)
=√2/(2^x*√2-2)+2^x/(2-2^x*√2)
=√2/(2^x*√2-2)-2^x/(2^x*√2-2)
=(√2-2^x)/(2^x*√2-2)
=-(2^x-√2)/√2(2^x-√2)
=-1/√2
=-√2/2
自变量的和=1 (x+1-x=1)
函数值的和=-√2/2
S=f(-5)+f(-4)+……+f(0)+f(1)+……+f(5)+f(6)
S=f(6)+f(5)+……+f(1)+f(0)+……+f(-4)+f(-5) 相加
2S=-√2/2-√2/2……-√2/2-√2/2……-√2/2-√2/2=-6√2
S=-3√2
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