Difference between revisions of "2022 IMO Problems/Problem 4"
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==Video Solution== | ==Video Solution== | ||
https://www.youtube.com/watch?v=-AII0ldyDww [Video contains solutions to all day 2 problems] | https://www.youtube.com/watch?v=-AII0ldyDww [Video contains solutions to all day 2 problems] | ||
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+ | https://youtu.be/WpM0mLyPyLg?si=yi9AZPVdYSPMCcHa | ||
+ | [Video Solution by little fermat] | ||
==Solution== | ==Solution== |
Revision as of 00:17, 4 September 2023
Problem
Let be a convex pentagon such that
. Assume that there is a
point
inside
with
,
and
. Let line
intersect
lines
and
at points
and
, respectively. Assume that the points
occur on their
line in that order. Let line
intersect lines
and
at points
and
, respectively. Assume
that the points
occur on their line in that order. Prove that the points
lie on
a circle.
Video Solution
https://www.youtube.com/watch?v=-AII0ldyDww [Video contains solutions to all day 2 problems]
https://youtu.be/WpM0mLyPyLg?si=yi9AZPVdYSPMCcHa [Video Solution by little fermat]
Solution
is cyclic
is cyclic.
vladimir.shelomovskii@gmail.com, vvsss