Find a mathematical formula, find a mathematical formula

I think your question is too general, but in fact, the key to this kind of question is to have ideas. According to your description, we can see that the central trajectories of the two spheres are parallel to the two straight lines, and their distance is r,. Whether the two balls can collide first depends on whether the two straight lines intersect, if the two straight lines are parallel to each other, there is no possibility of collision, only intersecting can collide; Secondly, it is necessary to judge according to the distance and speed, the distance is the length from the starting point of the two balls to the intersection point of the straight line, and the speed depends on how the problem is given, if the speed is equal, it is basically impossible to collide, unless the distance is also equal; Third, the state of the two balls when they collide, there are several possibilities, depending on the position of the two straight lines and whether the ball is above or below the straight line, although they are tangent to the two straight lines, but it has to be analyzed on a case-by-case basis, I think it is difficult to summarize it with a formula.

It is best to have a few specific examples and actually do the math.

1. If there is a collision, find the coordinates of the two balls after the collision (m1, n1), (m2, n2) according to the displacement and the coordinates of the two balls

2. Substitute the coordinates (zx1, zy1), (zx2, zy2), (m1, n1), (m2, n2) into two straight line equations respectively, find b1, b2, and find the two equations.

3,,Judge n1,n2, if n1=n2, there will be no collision, otherwise there is a possibility of collision.

4. Judging the possibility of collision, if a collision occurs, then two straight lines must intersect, according to the equation of two straight lines, find the coordinates of the intersection point (a, b), the distance from the center of the two spheres to the two straight lines is r, which is the calculation formula of the center of the sphere.

C82 means 2 of the 8 hollow hidden surfaces, and divide 8*7*6*5*4*3*2*1 by the quotient of 2*1*6*5*4*3*2*1.

6 means 8-2 (i.e., the number of the lower dou trembling hall - the number above).

C is the combination of Shen Kuan's Fu Chun Fiber Number: C8 takes 2 is the common method of taking out 2 of the 8 in Kuansen Cave. 8*7*6*5*4*3*2*1/6*5*4*3*2*1*2*1=8！/6！*2！

48*3 8=18 (liters) This is both the volume of water added and the volume of juice poured out.

18-4) 2=14 2=7 (L).

A: The first time the juice stock was 7 liters.

8l, give a reward point, forget it to you. x+*(x+4)=48-(48*5/8)

r=a(1-sinθ)

90 degrees. When =

At 0 degrees, r=a(1-0)=a

Point A. At 90 degrees, the missing manuscript is shortened r=a(1-1)=0--b. 180 degrees

0 degrees. At 180 degrees, r=a(1-0)=a

Point C. At 270 degrees, r=a(1

1) = 2a - point d.

270 degrees. a is the ratio of the four intercepts. ca

b And. Point b is the origin (0,0).

It's a matter of imagination.

D connects the four points A, B, C, and D with an arc back trouser line.

I haven't studied it, but I found it for you. Hey.

The answer is a 36-out 6 arrangement.

a(36,6)

36x35x...x3x2x1)/(30x29x...x3x2x1)

36x35x34x33x32x31