若a,b∈R+,且a^2+1/2*b^2=1,得b^2=2-2a^2所以y=a*√(1+b^2)=√【a^2*(1+2-2a^2)】 =√(-2a^4+3a^2) =√【-2(a^2-3/4)^2+9/8】当a^2=3/4时,ymax=3√2/4