Difference between revisions of "1962 IMO Problems/Problem 3"
(New page: ==Problem== Consider the cube <math>ABCDA'B'C'D'</math>(<math>ABCD</math> and <math>A'B'C'D'</math> are the upper and lower bases, respectively, and edges <math>AA'</math>, <math>BB'</math...) |
(No difference)
|
Revision as of 18:08, 30 December 2008
Problem
Consider the cube (
and
are the upper and lower bases, respectively, and edges
,
,
,
are parallel). The point
moves at constant speed along the perimeter of the square
in the direction
, and the point
moves at the same rate along the perimeter of the square
in the direction
. Points
and
begin their motion at the same instant from the starting positions
and
, respectively. Determine and draw the locus of the midpoints of the segments
.
Solution
This problem needs a solution. If you have a solution for it, please help us out by adding it.
See Also
1962 IMO (Problems) • Resources | ||
Preceded by Problem 2 |
1 • 2 • 3 • 4 • 5 • 6 | Followed by Problem 4 |
All IMO Problems and Solutions |