不過再來可能要到下禮拜才會繼續了～
先準備拿力學競賽的金牌吧～ ^^
(IMO 1959)
4. Construct a right triangle with given hypotenuse
such that the median drawn to the hypotenuse is the geometric mean of the two legs of the triangle.5. An arbitrary point
is selected in the interior of the segment 
. The square 
and 
are constructed on the same side of , with segments 
and 
as their respective bases. The circles circumscribed about these squares, with centers 
and 
, intersect at and also at another point 
. Let 
denote the point of intersection of the straight lines 
and 
.a) Prove that
and coincide;b) Prove that the straight lines
pass through a fixed point 
independent of the choice of ;c) Find the locus of the midpoints of the segments
as varies between 
and 
.※懶得翻譯了～ XDD
No comments:
Post a Comment