椭圆x^2/a^2+y^2/b^2=1(a>b>0)的右焦点F,其右准线与x轴交点为A,在椭圆上存在点P,满足线段AP的垂直平分...椭圆x^2/a^2+y^2/b^2=1(a>b>0)的右焦点F,其右准线与x轴交点为A,在椭圆上存在点P,满足线段AP的垂直
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![椭圆x^2/a^2+y^2/b^2=1(a>b>0)的右焦点F,其右准线与x轴交点为A,在椭圆上存在点P,满足线段AP的垂直平分...椭圆x^2/a^2+y^2/b^2=1(a>b>0)的右焦点F,其右准线与x轴交点为A,在椭圆上存在点P,满足线段AP的垂直](/uploads/image/z/5190350-14-0.jpg?t=%E6%A4%AD%E5%9C%86x%5E2%2Fa%5E2%2By%5E2%2Fb%5E2%3D1%28a%3Eb%3E0%29%E7%9A%84%E5%8F%B3%E7%84%A6%E7%82%B9F%2C%E5%85%B6%E5%8F%B3%E5%87%86%E7%BA%BF%E4%B8%8Ex%E8%BD%B4%E4%BA%A4%E7%82%B9%E4%B8%BAA%2C%E5%9C%A8%E6%A4%AD%E5%9C%86%E4%B8%8A%E5%AD%98%E5%9C%A8%E7%82%B9P%2C%E6%BB%A1%E8%B6%B3%E7%BA%BF%E6%AE%B5AP%E7%9A%84%E5%9E%82%E7%9B%B4%E5%B9%B3%E5%88%86...%E6%A4%AD%E5%9C%86x%5E2%2Fa%5E2%2By%5E2%2Fb%5E2%3D1%28a%3Eb%3E0%29%E7%9A%84%E5%8F%B3%E7%84%A6%E7%82%B9F%2C%E5%85%B6%E5%8F%B3%E5%87%86%E7%BA%BF%E4%B8%8Ex%E8%BD%B4%E4%BA%A4%E7%82%B9%E4%B8%BAA%2C%E5%9C%A8%E6%A4%AD%E5%9C%86%E4%B8%8A%E5%AD%98%E5%9C%A8%E7%82%B9P%2C%E6%BB%A1%E8%B6%B3%E7%BA%BF%E6%AE%B5AP%E7%9A%84%E5%9E%82%E7%9B%B4)
椭圆x^2/a^2+y^2/b^2=1(a>b>0)的右焦点F,其右准线与x轴交点为A,在椭圆上存在点P,满足线段AP的垂直平分...椭圆x^2/a^2+y^2/b^2=1(a>b>0)的右焦点F,其右准线与x轴交点为A,在椭圆上存在点P,满足线段AP的垂直
椭圆x^2/a^2+y^2/b^2=1(a>b>0)的右焦点F,其右准线与x轴交点为A,在椭圆上存在点P,满足线段AP的垂直平分...
椭圆x^2/a^2+y^2/b^2=1(a>b>0)的右焦点F,其右准线与x轴交点为A,在椭圆上存在点P,满足线段AP的垂直平分线过点F,求椭圆离心率范围?
椭圆x^2/a^2+y^2/b^2=1(a>b>0)的右焦点F,其右准线与x轴交点为A,在椭圆上存在点P,满足线段AP的垂直平分...椭圆x^2/a^2+y^2/b^2=1(a>b>0)的右焦点F,其右准线与x轴交点为A,在椭圆上存在点P,满足线段AP的垂直
设P(acosθ,bsinθ)
PF=AF=a^2/c-c
PF=根号((acosθ-c)^2+(bsinθ)^2)
e=a/c
a^2=b^2+c^2
cosθ=(e^2+e-1)/e^2
而-1≤cosθ≤1
所以1/2≤e≤1
因a>b>0
所以1/2≤e<1
x^2/a^2+y^2/b^2=1(a>b>0)
设P(acosθ,bsinθ)
PF=AF=a^2/c-c
PF=根号((acosθ-c)^2+(bsinθ)^2)
e=a/c
a^2=b^2+c^2
cosθ=(e^2+e-1)/e^2
而-1≤cosθ≤1
所以1/2≤e≤1
因