What is the minimum distance between a point on the ellipse and the focus? Where is the point? What is the minimum distance to the point on the focus ellipse? Where is the point? If you know, tell me,

What is the minimum distance between a point on the ellipse and the focus? Where is the point? What is the minimum distance to the point on the focus ellipse? Where is the point? If you know, tell me,

The sum of the distances from the point on the ellipse to the two focal points is the fixed value (2a)
The minimum distance to one focus is the maximum distance to another. This point is the intersection of ellipse and major axis, and the minimum distance is a-c

If the hyperbola x2a2 − y2b2 = 1 (a > 0, b > 0), the chord AB passing through the focus F1 (A and B are on the same branch) and the length is m, and the other focus is F2, then the perimeter of △ abf2 is ()
A. 4aB. 4a-mC. 4a+2mD. 4a-2m

According to the definition of hyperbola, according to the definition of hyperbola, according to the definition of hyperbola, we can get, af2 - 124124124af1 = 2A, ① | BF2 - - BF1 BF1 - - - - - BF1 BF1 - - BF1 BF1 BF1 | + | ab | = 4A + m + M = 4A + 2m

Through the right focus F of hyperbola x2 / 9-y2 / 16 = 1, make a chord AB with an inclination angle of 45 degrees, and find the length of the chord ab

A = 3, B = 4, C = 5, right focus coordinate (5,0),
The linear equation is y = X-5,
7x^2+90x-369=0,
According to Veda's theorem,
x1+x2=-90/7,
x1*x2=-369/7,
According to the chord length formula,
|AB|=√(1+1^2)[(x1-x2)^2,
=√2[(x1+x2)^2-4x1x2]
=192/7.
Hope to help you

What is the chord length of a hyperbola intercepted by a line perpendicular to the coordinate axis and passing through a focal point of the hyperbola X & # 178; - Y & # 178; = 8?

Half focus = root 8 + 8 = 4
The linear equation perpendicular to the coordinate axis is x = 4 or (- 4)
Take x = 4 as an example
here
16-y²=8
y²=8
therefore
y=±2√2
therefore
Chord length: 2 √ 2 × 2 = 4 √ 2