求椭圆离心率已知椭圆x^2/a^2+y^2/b^2=1(a>b>0),A为左顶点,B为短轴一顶点,F为右焦点,且AB向量⊥BF向量,则椭圆离心率是
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![求椭圆离心率已知椭圆x^2/a^2+y^2/b^2=1(a>b>0),A为左顶点,B为短轴一顶点,F为右焦点,且AB向量⊥BF向量,则椭圆离心率是](/uploads/image/z/10293715-19-5.jpg?t=%E6%B1%82%E6%A4%AD%E5%9C%86%E7%A6%BB%E5%BF%83%E7%8E%87%E5%B7%B2%E7%9F%A5%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%2CA%E4%B8%BA%E5%B7%A6%E9%A1%B6%E7%82%B9%2CB%E4%B8%BA%E7%9F%AD%E8%BD%B4%E4%B8%80%E9%A1%B6%E7%82%B9%2CF%E4%B8%BA%E5%8F%B3%E7%84%A6%E7%82%B9%2C%E4%B8%94AB%E5%90%91%E9%87%8F%E2%8A%A5BF%E5%90%91%E9%87%8F%2C%E5%88%99%E6%A4%AD%E5%9C%86%E7%A6%BB%E5%BF%83%E7%8E%87%E6%98%AF)
求椭圆离心率已知椭圆x^2/a^2+y^2/b^2=1(a>b>0),A为左顶点,B为短轴一顶点,F为右焦点,且AB向量⊥BF向量,则椭圆离心率是
求椭圆离心率
已知椭圆x^2/a^2+y^2/b^2=1(a>b>0),A为左顶点,B为短轴一顶点,F为右焦点,且AB向量⊥BF向量,则椭圆离心率是
求椭圆离心率已知椭圆x^2/a^2+y^2/b^2=1(a>b>0),A为左顶点,B为短轴一顶点,F为右焦点,且AB向量⊥BF向量,则椭圆离心率是
已知椭圆x/a+y/b=1(a>b>0),A为左顶点,B为短轴一顶点,F为右焦点,且向量AB⊥BF,则椭圆离心率是?
A(-a,0),B(0,b),F(c,0)
AB⊥BF--->ABBF=(a,b)(c,-b)=ac-b=0
--->b=ac=a-c--->c+ac-a=0
--->e+e-1=0--->离心率e=(√5-1)/2(负值舍去)