已知椭圆中心为O,长轴,短轴的长分别为2a,2b（a>b>0),

x^2/a^2+y^2/b^2=1OA⊥OBA(m,n)OA:y=nx/mOB:y=-mx/nOA=√(m^2+n^2)OA^2=(m^2+n^2)1、OA^2=1/(m^2+n^2).①b^2x^2+a^2y^2=a^2b^2b^2x^2+a^2m^2x^2/n^2=a^2b^2(n^2b^2+a^2m^2)x^2=(abn)^2x^2=(abn)^2/(n^2b^2+m^2a^2)y^...