设椭圆C:x²/a²+y²/b²=1﹙a>b>0﹚的左、右焦点分别为F₁、F₂,P是C上的点,PF₂⊥F₁F₂,∠PF₁F₂=30º,则C的离心率为
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![设椭圆C:x²/a²+y²/b²=1﹙a>b>0﹚的左、右焦点分别为F₁、F₂,P是C上的点,PF₂⊥F₁F₂,∠PF₁F₂=30º,则C的离心率为](/uploads/image/z/4069405-37-5.jpg?t=%E8%AE%BE%E6%A4%AD%E5%9C%86C%3Ax%26%23178%3B%2Fa%26%23178%3B%2By%26%23178%3B%2Fb%26%23178%3B%EF%BC%9D1%EF%B9%99a%EF%BC%9Eb%EF%BC%9E0%EF%B9%9A%E7%9A%84%E5%B7%A6%E3%80%81%E5%8F%B3%E7%84%A6%E7%82%B9%E5%88%86%E5%88%AB%E4%B8%BAF%26%238321%3B%E3%80%81F%26%238322%3B%2CP%E6%98%AFC%E4%B8%8A%E7%9A%84%E7%82%B9%2CPF%26%238322%3B%E2%8A%A5F%26%238321%3BF%26%238322%3B%2C%E2%88%A0PF%26%238321%3BF%26%238322%3B%3D30%26%23186%3B%2C%E5%88%99C%E7%9A%84%E7%A6%BB%E5%BF%83%E7%8E%87%E4%B8%BA)
设椭圆C:x²/a²+y²/b²=1﹙a>b>0﹚的左、右焦点分别为F₁、F₂,P是C上的点,PF₂⊥F₁F₂,∠PF₁F₂=30º,则C的离心率为
设椭圆C:x²/a²+y²/b²=1﹙a>b>0﹚的左、右焦点分别为F₁、F₂,
P是C上的点,PF₂⊥F₁F₂,∠PF₁F₂=30º,则C的离心率为
设椭圆C:x²/a²+y²/b²=1﹙a>b>0﹚的左、右焦点分别为F₁、F₂,P是C上的点,PF₂⊥F₁F₂,∠PF₁F₂=30º,则C的离心率为
PF1+PF2=2a,F1F2=3分之2根号3a,即2c=3分之2根号3a,所以离心率为3分之根号3