[/quote]
,
of the set 
,
.
that satisfies all of the three following conditions:
.
of 
is not empty.
of 
.
,
.
be a cyclic 
-
for all 
.
as the intersection of diagonals 
and 
for all integers 
satisfying 
for all integers 
are concyclic.
be a triangle and let 
and 
be variable points on sides 
and 
,
.
denote the point on 
such that 
is parallel to 
,
denote the point on 
such that 
is parallel to 
.
vary, the circumcircle of 
passes through a fixed point, other than 
.
,
at 
,
be the midpoint of 
.
intersect 
at 
,
meet 
,
meet 
at 
.
are concurrent.
and 
Prove that
Let 
Prove that
and 
Prove that
is given, find the largest real number 
such that there exists a geometric sequence 
with common ratio 
for all positive integers 
.
denotes the distance from the real number 
to the nearest integer.
,
.
.
Y by BobRascal, riben, Kendo_Larrs, foxtrot3, smartninja2000, hdrcure, vsamc, Eth007, prestonh, coolmath_2018, 2019wildcat, Happy88, PhysicsMonster_01, GCA, Vasu090, AnimalLover111, H-23, v4913, Adventure10, Mango247
This suggestion doesn't mean that users can just add problems to the topics like Algebra and C+P for everyone. Instead, it means that users can add personal problems that they came up with for themselves only. For example, if you missed a Algebra question from school, you can add it to your personal Alcumus for reveiw.
It would be cool if you could create new Subjects for yourself too. For example, you could create a "AIME" subject and just enter AIME problems in to practice.
Note: you can even create non-math problems like spelling and vocabulary and physics etc...
It would be cool if you could create new Subjects for yourself too. For example, you could create a "AIME" subject and just enter AIME problems in to practice.
Note: you can even create non-math problems like spelling and vocabulary and physics etc...
This post has been edited 1 time. Last edited by franzliszt, Sep 23, 2019, 7:04 PM
