Requested Books

Haha hello guys!

 i know i am so passive these day. haha until muy geuch email to ask me teat.:)) thanks muy geuch...

Sorry I've just finish my exam. Hmm what am i supposed to do now.....

Well let first deal with the requested books: 

Here are the upload files i uploaded. you guys can download free:

But notice that some files are in DJVU. DJVU is a program that must be used to view those files. If you haven't had it you can download as i upload here already. Try to use the program first. If you don't know how to use DJVU to view file you can post commet for help. Anyway it is totally easy to use DJVU. 

    DJVU viewer

1. Challenging Problem in Algebra

3. Mathematical Olympiad Tressure
4. Mathematical Olympiad Challenge
5. 102 combimonatoric problems

for User Olympiad book i will search and upload if i find.

By the way for those who email me to get IMO english version. I think you guys don't know abt      IMO compendium.pdf yet? if so i would recommend you to pratice this book.

You can either ask The web master__ Reasmey for a copy or downlaod by simply click here.

Cu

Jupiter 

Books we are finding!

Hello everyone! As the group is having some problems in finding some books in software, we would like to ask everyone if you have any of these books as following:

1. Challenging problems in Algebra
2. The user Olympiad problem book
3. Mathematical Olympiad Tressure
4. Mathematical Olympiad Challenge
5. 102 combimonatoric problems

We will be so delighted if you can share with us, just send to the group mail group_cmg@yahoo.com ! Your participation will contribute alot to Cambodian future in Math competition! Thanks in advance....

Anyway, I would like give a big thanks to Sakheyna, a member from Sisowath, who us his books including Math contest around the world 1999-2000 and Math contest around the world 2000-2001. So everyone can have these books.... Thanks again

Further added members!

Since we have many membership application forms remaining, we finally decided to select more members! Please see the following list:

Chan Marisa
Chim Eangchhe
Chhay Taklida
Chheng Phiron
Heng Piseth
Hong Makara
Hong Sothun
Keam Kongleaphy
Kheng Sovansak
Kien Forcefidele
Koch Sivkong
Meng Phanny
Nak Sreyleap
Nguy Kealong
Norn Saophanith
Prum Seiha
Sea Lihoung
Teik Solida
Uk Samphal
Ung Sunmeng
Veung Vouchlin
Veung Vouchly
Yem Marady
Yem Veasna

Singapore scholarship is available now!

As every year, Singapore scholarship is the first released amongst other Bachelor degree scholarship, following by China, Japan, Malaysia and some others. This scholarship is usually offered to 2 to 3 Cambodian outstanding students ( who pass all the stages ) to study with full scholarship ( 100% free and even get salary from about 400$-800$ depending on your performance and year of study) in Bachelor degree in Singapore, a great education country. Students who are interested in this, please go to buy the Khmer form at Scholarship office ( just near Apsara TV station ). There will be a form shorted list test, a few exams and interview for those who pass the previous stage.

The first selection test will be on 31 December 2008.

Geometry problems of the week!

Dear all members, please try to solve these exercises, we will be able to improve your geometry skill! Try to think it one by one, consider it carefully... You may be able to discuss these problems at www.groups.google.com/group/groupcmg .... Enjoy!

1.(Chinese Mathematical Olympiad, 2007) Triangle ABC is not isosceles. The incenter is I, the excenter is O. The incircle touches the sides BC, CA, AB at points D, E, F, respectively. Lines FD and AC intersect at P, lines DE and AB intersect at Q. The midpoints of segments EP amd FQ are M and N, respectively. Prove that MN and OI are perpendicular.

2. Determine the locus of the centres of all regular triangles circumscribed about a given acute triangle. (The triangle G is said to be circumscribed about the triangle H if the vertices of H lie on the sides of G.)

3. Given a convex quadrilateral ABCD and a point P in its interior such that AP=CP, and. Prove that DA.AB.BP=BC.CD.DP.

4. The angle bisector drawn from vertex C of an acute angled triangle ABC intersects the opposite side at the point F. The feet of the perpendiculars drawn from the point F to the sides BC and CA are P and Q, respectively. Let M denote the intersection of the lines AP and BQ. Prove that AB and CM are perpendicular to each other.

5. A' is the reflection of the vertex A of an equilateral triangle ABC about the opposite side. A line passing through A' intersects the lines AB and AC at the points C' and B', respectively. What is the locus of the intersection of lines BB' and CC'?

6. The angle bisectors of triangle ABC intersect sides BC, CA and AB at points A1, B1 and C1, respectively. On line A1B1, denote by F the perpendicular foot point of C1. Prove that line FC1 bisects angle AFB.

7. Let h denote the length of the tangents drawn to a circle from an exterior point P, and let the midpoint of the line segment connecting the points of contact be F. Prove that a chord AB of the circle satisfies the equality AP.PB=h2 if and only if the line AB passes through the point P or the point F.

8. The angle bisector drawn from vertex C of an acute angled triangle ABC intersects the opposite side at the point F. The feet of the perpendiculars drawn from the point F to the sides BC and CA are P and Q, respectively. Let M denote the intersection of the lines AP and BQ. Prove that AB and CM are perpendicular to each other.