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Difference between revisions of "2006 Romanian NMO Problems/Grade 8/Problem 3"

 
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==See also==
 
==See also==
 
*[[2006 Romanian NMO Problems]]
 
*[[2006 Romanian NMO Problems]]
 +
[[Category:Olympiad Geometry Problems]]

Revision as of 10:09, 28 July 2006

Problem

Let $ABCDA_1B_1C_1D_1$ be a cube and $P$ a variable point on the side $[AB]$. The perpendicular plane on $AB$ which passes through $P$ intersects the line $AC'$ in $Q$. Let $M$ and $N$ be the midpoints of the segments $A'P$ and $BQ$ respectively.

Solution

See also

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