Given the ellipse x ^ / 4 + y ^ / 9 = 1, the slope of a group of parallel lines is 3 / 2? (1) When do these lines intersect the ellipse? (2) When they intersect the ellipse, it is proved that the line segments cut by the ellipse are focused on one line?

In order to get you, it's really not worth it, but I did it for you
1. Let the line be y = (3 / 2) x + K, and substitute it into the elliptic equation
2 + (K / 3) / x + K ~ 2 / 9 = 1, when B ~ 2-4ac = 0, k = 3 times root 2
So when - 3 times the root sign 2

Find the focal length of elliptic parametric equation
Ellipse x = 4 + 2cos φ,
Y = 1 + 5sin, what is the focal length?

cos²φ+sin²φ=1
So (x-4) & sup2 / 4 + (Y-1) & sup2 / 25 = 1
So a & sup2; = 25, B & sup2; = 4
c²=25-4=21
So focal length = 2C = 2 √ 21

Parametric equation of ellipse
Want to do a little elliptic parametric equation

The parameter equation of ellipse and its application are everywhere on the Internet. The requirement of Jiang Mingquan's outline for the parameter equation of ellipse is to reach the level of understanding. If a little simple knowledge of parameter equation is introduced properly, it can broaden the field of vision and simplify the operation of plane analytic geometry

The problem of elliptic parameter equation
X=a cosx
y=b sinx
The X angle represents the centrifugal angle, but what is the centrifugal angle?
If the major and minor axes of the ellipse are known, how to solve the elliptic parametric equation at any given point?
Can you recommend reference books?

1. When the radius OA rotates around the point O, the trajectory of the point m is an ellipse, and ∠ xoa is the centrifugal angle~
2. The basic form of elliptic equation is x ^ 2 / A ^ 2 + y ^ 2 / b ^ 2 = 1
If you already know the major and minor axes (A and b), the problem is very simple. If you require the centrifugal angle, you can directly substitute the X or Y coordinates of this point into x = acosx or y = bsinx to find the angle
Any high school mathematics textbook can find the corresponding information

Given the ellipse x ^ / 4 + y ^ / 9 = 1, the slope of a group of parallel lines is 3 / 2? (1) When do these lines intersect the ellipse? (2) When they intersect the ellipse, it is proved that the line segments cut by the ellipse are focused on one line?