已知A,B是椭圆C:x^2/a^2+y^2/b^2=1(a>b>0)的左右顶点,B(2,0),过椭圆C的右焦点F的直线交其于点M,N,交直...已知A,B是椭圆C:x^2/a^2+y^2/b^2=1(a>b>0)的左右顶点,B(2,0),过椭圆C的右焦点F的直线交其于点M,N,交直线x=
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![已知A,B是椭圆C:x^2/a^2+y^2/b^2=1(a>b>0)的左右顶点,B(2,0),过椭圆C的右焦点F的直线交其于点M,N,交直...已知A,B是椭圆C:x^2/a^2+y^2/b^2=1(a>b>0)的左右顶点,B(2,0),过椭圆C的右焦点F的直线交其于点M,N,交直线x=](/uploads/image/z/6161960-56-0.jpg?t=%E5%B7%B2%E7%9F%A5A%2CB%E6%98%AF%E6%A4%AD%E5%9C%86C%3Ax%5E2%2Fa%5E2%2By%5E2%2Fb%5E2%3D1%28a%3Eb%3E0%29%E7%9A%84%E5%B7%A6%E5%8F%B3%E9%A1%B6%E7%82%B9%2CB%282%2C0%29%2C%E8%BF%87%E6%A4%AD%E5%9C%86C%E7%9A%84%E5%8F%B3%E7%84%A6%E7%82%B9F%E7%9A%84%E7%9B%B4%E7%BA%BF%E4%BA%A4%E5%85%B6%E4%BA%8E%E7%82%B9M%2CN%2C%E4%BA%A4%E7%9B%B4...%E5%B7%B2%E7%9F%A5A%2CB%E6%98%AF%E6%A4%AD%E5%9C%86C%3Ax%5E2%2Fa%5E2%2By%5E2%2Fb%5E2%3D1%28a%3Eb%3E0%29%E7%9A%84%E5%B7%A6%E5%8F%B3%E9%A1%B6%E7%82%B9%2CB%282%2C0%29%2C%E8%BF%87%E6%A4%AD%E5%9C%86C%E7%9A%84%E5%8F%B3%E7%84%A6%E7%82%B9F%E7%9A%84%E7%9B%B4%E7%BA%BF%E4%BA%A4%E5%85%B6%E4%BA%8E%E7%82%B9M%2CN%2C%E4%BA%A4%E7%9B%B4%E7%BA%BFx%3D)
已知A,B是椭圆C:x^2/a^2+y^2/b^2=1(a>b>0)的左右顶点,B(2,0),过椭圆C的右焦点F的直线交其于点M,N,交直...已知A,B是椭圆C:x^2/a^2+y^2/b^2=1(a>b>0)的左右顶点,B(2,0),过椭圆C的右焦点F的直线交其于点M,N,交直线x=
已知A,B是椭圆C:x^2/a^2+y^2/b^2=1(a>b>0)的左右顶点,B(2,0),过椭圆C的右焦点F的直线交其于点M,N,交直...
已知A,B是椭圆C:x^2/a^2+y^2/b^2=1(a>b>0)的左右顶点,B(2,0),过椭圆C的右焦点F的直线交其于点M,N,交直线x=4于点P,且直线PA,PF,PB的斜率成等差数列 求椭圆C的方程 若记三角形AMB和三角形ANB的面积分别为S1,S2求S1/S2的取值范围
已知A,B是椭圆C:x^2/a^2+y^2/b^2=1(a>b>0)的左右顶点,B(2,0),过椭圆C的右焦点F的直线交其于点M,N,交直...已知A,B是椭圆C:x^2/a^2+y^2/b^2=1(a>b>0)的左右顶点,B(2,0),过椭圆C的右焦点F的直线交其于点M,N,交直线x=
设p(4,p) F(C,0) kPA=p/6 kPB=p/2 kpF=p/4-c
由于是等差数列
∴kPF=1/2(kPA+kPB)=p/3 p/3=p/4-c c=1
∴椭圆C:x^2/4+y^2/1=1
(2)1/3
椭圆C:x^2/a^2+y^2/b^2=1(a>b>0)的右顶点B(2,0),故a=2,设P(4,y)则F(根4-b^2,0),直线PA,PF,PB的斜率成等差数列,则2kPF=kPA+KPB,解得b=1,椭圆C的方程:x^2/4+y^2=1