设椭圆x²/m²+y²/(m²-1)=1(m>1)上一点p到其左焦点的距离3,到右焦点的距离1,则P到右准线的距离为
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![设椭圆x²/m²+y²/(m²-1)=1(m>1)上一点p到其左焦点的距离3,到右焦点的距离1,则P到右准线的距离为](/uploads/image/z/2490982-70-2.jpg?t=%E8%AE%BE%E6%A4%AD%E5%9C%86x%26%23178%3B%2Fm%26%23178%3B%2By%26%23178%3B%2F%28m%26%23178%3B-1%29%3D1%28m%3E1%29%E4%B8%8A%E4%B8%80%E7%82%B9p%E5%88%B0%E5%85%B6%E5%B7%A6%E7%84%A6%E7%82%B9%E7%9A%84%E8%B7%9D%E7%A6%BB3%2C%E5%88%B0%E5%8F%B3%E7%84%A6%E7%82%B9%E7%9A%84%E8%B7%9D%E7%A6%BB1%2C%E5%88%99P%E5%88%B0%E5%8F%B3%E5%87%86%E7%BA%BF%E7%9A%84%E8%B7%9D%E7%A6%BB%E4%B8%BA)
设椭圆x²/m²+y²/(m²-1)=1(m>1)上一点p到其左焦点的距离3,到右焦点的距离1,则P到右准线的距离为
设椭圆x²/m²+y²/(m²-1)=1(m>1)上一点p到其左焦点的距离3,
到右焦点的距离1,则P到右准线的距离为
设椭圆x²/m²+y²/(m²-1)=1(m>1)上一点p到其左焦点的距离3,到右焦点的距离1,则P到右准线的距离为
即1+3=2m
m=2
则a²=m²=4
b²=m²-1=3
c²=1
所以e=c/a=1/2
即P到右焦点的距离÷P到右准线的距离=e=1/2
所以P到右准线的距离=2