椭圆X^2/a^2+y^2/b^2=1(a>b>0)与直线x+y=1交与P,Q两点且OP垂直于OQ,其中O为坐标原点(1)求1/a^2+1/b^2的值(2)诺椭圆的离心率e满足根号3/3≤e≤根号2/2,求椭圆的长轴的取值范围诺椭圆的离心率e
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![椭圆X^2/a^2+y^2/b^2=1(a>b>0)与直线x+y=1交与P,Q两点且OP垂直于OQ,其中O为坐标原点(1)求1/a^2+1/b^2的值(2)诺椭圆的离心率e满足根号3/3≤e≤根号2/2,求椭圆的长轴的取值范围诺椭圆的离心率e](/uploads/image/z/5190303-39-3.jpg?t=%E6%A4%AD%E5%9C%86X%5E2%2Fa%5E2%2By%5E2%2Fb%5E2%3D1%EF%BC%88a%EF%BC%9Eb%EF%BC%9E0%EF%BC%89%E4%B8%8E%E7%9B%B4%E7%BA%BFx%2By%3D1%E4%BA%A4%E4%B8%8EP%2CQ%E4%B8%A4%E7%82%B9%E4%B8%94OP%E5%9E%82%E7%9B%B4%E4%BA%8EOQ%2C%E5%85%B6%E4%B8%ADO%E4%B8%BA%E5%9D%90%E6%A0%87%E5%8E%9F%E7%82%B9%EF%BC%881%EF%BC%89%E6%B1%821%2Fa%5E2%2B1%2Fb%5E2%E7%9A%84%E5%80%BC%EF%BC%882%EF%BC%89%E8%AF%BA%E6%A4%AD%E5%9C%86%E7%9A%84%E7%A6%BB%E5%BF%83%E7%8E%87e%E6%BB%A1%E8%B6%B3%E6%A0%B9%E5%8F%B73%2F3%E2%89%A4e%E2%89%A4%E6%A0%B9%E5%8F%B72%2F2%2C%E6%B1%82%E6%A4%AD%E5%9C%86%E7%9A%84%E9%95%BF%E8%BD%B4%E7%9A%84%E5%8F%96%E5%80%BC%E8%8C%83%E5%9B%B4%E8%AF%BA%E6%A4%AD%E5%9C%86%E7%9A%84%E7%A6%BB%E5%BF%83%E7%8E%87e)
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椭圆X^2/a^2+y^2/b^2=1(a>b>0)与直线x+y=1交与P,Q两点且OP垂直于OQ,其中O为坐标原点(1)求1/a^2+1/b^2的值(2)诺椭圆的离心率e满足根号3/3≤e≤根号2/2,求椭圆的长轴的取值范围诺椭圆的离心率e
椭圆X^2/a^2+y^2/b^2=1(a>b>0)与直线x+y=1交与P,Q两点且OP垂直于OQ,其中O为坐标原点
(1)求1/a^2+1/b^2的值
(2)诺椭圆的离心率e满足根号3/3≤e≤根号2/2,求椭圆的长轴的取值范围
诺椭圆的离心率e满足(根号3)/3≤e≤(根号2)/2,求椭圆的长轴的取值范围
椭圆X^2/a^2+y^2/b^2=1(a>b>0)与直线x+y=1交与P,Q两点且OP垂直于OQ,其中O为坐标原点(1)求1/a^2+1/b^2的值(2)诺椭圆的离心率e满足根号3/3≤e≤根号2/2,求椭圆的长轴的取值范围诺椭圆的离心率e
离心率e=√[(a^2-b^2)/a^2]=根号[(a^2-b^2)/a^2]
(根号3)/3≤e≤(根号2)/2
3/9≤ e^2 ≤2/4
(1/3) ≤ [(a^2-b^2)/a^2] ≤ 1/2
(1/3)a^2 ≤ (a^2-b^2) ≤ 1/2 a^2
(3/2)b^2 ≤ a^2 ≤ 2b^2
椭圆的长轴的取值范围
根号(3/2)b ≤ a ≤ 根号(2)b