椭圆x^2/a^2+y^2/b^2=1(a>b>0)与x+y=1交于P、Q两点,且OP⊥OQ,其中O为坐标原点1) 求1/a^2+1/b^2的值 (2)若椭圆的离心率e满足√3/3≤e≤√2/2,求椭圆长轴的取值范围
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