高中数学 椭圆C:x²/a²+y²/b²=1.椭圆C:x²/a²+y²/b²=1﹙a﹥b﹥0﹚的左焦点为F,上顶点为A,过点A且与AF垂直的直线分别交椭圆C与x轴的正半轴于点P、Q,向量AP=
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![高中数学 椭圆C:x²/a²+y²/b²=1.椭圆C:x²/a²+y²/b²=1﹙a﹥b﹥0﹚的左焦点为F,上顶点为A,过点A且与AF垂直的直线分别交椭圆C与x轴的正半轴于点P、Q,向量AP=](/uploads/image/z/1834300-28-0.jpg?t=%E9%AB%98%E4%B8%AD%E6%95%B0%E5%AD%A6+%E6%A4%AD%E5%9C%86C%EF%BC%9Ax%26%23178%3B%EF%BC%8Fa%26%23178%3B%EF%BC%8By%26%23178%3B%EF%BC%8Fb%26%23178%3B%EF%BC%9D1.%E6%A4%AD%E5%9C%86C%EF%BC%9Ax%26%23178%3B%EF%BC%8Fa%26%23178%3B%EF%BC%8By%26%23178%3B%EF%BC%8Fb%26%23178%3B%EF%BC%9D1%EF%B9%99a%EF%B9%A5b%EF%B9%A50%EF%B9%9A%E7%9A%84%E5%B7%A6%E7%84%A6%E7%82%B9%E4%B8%BAF%2C%E4%B8%8A%E9%A1%B6%E7%82%B9%E4%B8%BAA%2C%E8%BF%87%E7%82%B9A%E4%B8%94%E4%B8%8EAF%E5%9E%82%E7%9B%B4%E7%9A%84%E7%9B%B4%E7%BA%BF%E5%88%86%E5%88%AB%E4%BA%A4%E6%A4%AD%E5%9C%86C%E4%B8%8Ex%E8%BD%B4%E7%9A%84%E6%AD%A3%E5%8D%8A%E8%BD%B4%E4%BA%8E%E7%82%B9P%E3%80%81Q%2C%E5%90%91%E9%87%8FAP%EF%BC%9D)
高中数学 椭圆C:x²/a²+y²/b²=1.椭圆C:x²/a²+y²/b²=1﹙a﹥b﹥0﹚的左焦点为F,上顶点为A,过点A且与AF垂直的直线分别交椭圆C与x轴的正半轴于点P、Q,向量AP=
高中数学 椭圆C:x²/a²+y²/b²=1.
椭圆C:x²/a²+y²/b²=1﹙a﹥b﹥0﹚的左焦点为F,上顶点为A,过点A且与AF垂直的直线分别交椭圆C与x轴的正半轴于点P、Q,向量AP
=8/5向量PQ.
高中数学 椭圆C:x²/a²+y²/b²=1.椭圆C:x²/a²+y²/b²=1﹙a﹥b﹥0﹚的左焦点为F,上顶点为A,过点A且与AF垂直的直线分别交椭圆C与x轴的正半轴于点P、Q,向量AP=
⑴设Q(x0,0),
F(-c,0)A(0,b), FA=(c,b),AQ=(x0,-b)
∵ FA⊥AQ,
∴ cx0-b2=0,x0=b2/c
P(x1,y1),
AP=8/5PQ
x1=8b2/13c,y1=5/13b
P在椭圆上
(8b2/13c)2/a2+(5/13b)2/b2=1
2b2=3ac,
⑵(a2-c2)=3ac,2e2+3e-2=0,
e= 1/2.
(2)F(- 1/2a,0)Q (3/2a,0),
圆心( 1/2a,0),r= 1/2|FQ|=a
|1/2a+3|/2=a,
a=2,
∴c=1,b= √3,
x2/4+y2/3=1