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.

Starting the Blog

To all my respected senior members && friends who are willing to contribute to blog,

As having been viewing and posting some comments or post here together, I hope you all are commited to improve the math development in Cambodia together AS MUCH AS we can despite how busy we are. I do understand you are busy, that why I said AS MUCH AS possible. I am too busy with my university also, but I always spend some of the time i could to do sth useful for this blog such as posting, or sending some soft_copy of math book to dararasmey to share the member. I hope you all will think the way I do too, and i can see some of the senior like bong Sovanvichet even giving the book he wrote himself free. Thanks so much.

Now, the time won't wait. Yesterday is a history, tomorrow is a mystery , but today is a gift. (Uqoi :)). So, let begin the first step of developing blog by simply planing what we will/ should do.

1)should it be a good idea to have problems solving challenging?

To encourage the incentive of solving the problems, I would suggest a policy of giving credit to all members who solve problem we post here ORIGINALLY (not copy from book). Giving credit mean that, whenever a member solve a problem we will get one credit or score added to the database of the respective member. By the end of each month/year/ or even more competitive , week. We would do sth that please the first three top persons with the highest credit. Unfornately, there is no online judge like programming, so i guess, some of our senior (can also be me) would be the judges for weekly posted problem.

2)Database system

 Any IT senior member who already study&& can write database? can Bong help me to write one to do the following job: store all member INFO?, add new member info, remove members, and other common task. I would say I can too, but I only use java and i'm just start Object Oriented Programming this semester, so not yet fluent. I would appreciate if any one can help me. 

3) Category && Disivions

 Moreover, it might be the time to think now how to divide the blog into subsection of grade. This might help the lower grade students/member to perform better. We can also divide post into, small topics, such as arithmetic, geometry, inequality, number theory, combinatorial problems and sth else.

That all the initial Ideas i could think of tonight.

SO what do all my friends and my respected senoir think? any more good idea or comments?

Bong, sovanvichet...., Bong dararith,...and Other senoir.... please together we find a good ways to promote mathematics velocity in this blog, as well as in cambodia, as it is all our goal despite of our busy time.

Thanks,

Younger,_senior member,

Pheng Sovanlandy

Recent added members!

There are totally 43 recent added member which include: grade 9 ( 2 members ), grade 10 ( 12 members ), grade 11 ( 19 members ), grade 12 ( 4 members ), year 1 ( 3 members ), year 2 ( 2 members ) and year 5 ( 1 member).

If you see your name as following meaning that you are now becoming our group member! Please comfirm your email since there were some errors with some your emails which we could not reach.

Chan Sopheaktra
Chea Laline
Chea Pumsakheyna
Chet Stravy
Chhun Vannkuthea
Chov Prelsor
Eang Utdomvattanak
Eap Vithyea
Hen Pisithkun
Heng Samnang
Hong Panha
Hout Samnang
Hun Dararithy
Huy Chandara
Khun Pisith
Leng Sivlyza
Lim Ouy
Lim Sobunnavath
Lov Kimtheng
Men Chanpheaktra
Mong Sorikrath
Mony Sorithisey
Nak Bunna
Nong Yonsothya
Norn Sereyrith
Ouch Kithya
Pen Nakry
Pen Vuthy
Phav Makara
Phon Pechchenda
Sam Sokpanya
Sarim Bonita
Seng Hour
Seng Kruy
Seng SovanMinea
So Sakakrona
Taing Uytry
Tang Monyreach
Tek Hangnita
Teng Vannara
Uk Chamnan
Vichet Pisey
Yan Kunthea

Being our member, you can have those available books in our group and further suggested books ( if possible ) by just leaving us comments or send us directly to our mail.

Korean Scholarship is available now!

This is a full scholarship for Cambodian students who have good personality and proper ability ( as requirement ) to study Bachelor degree in the major of Marinetime for 3 years in Korea Marinetime University in Busan, Korea. This scholarship is offered by SOMA group; 3 competent students will be selected.

Requirement :

_High School Diploma ( finished grade 12 )

_IELTS 5.5 ( minimum ) or equivalence

Deadline : 8 November 2008

Please contact us for more detail.

Please see this website : http://english.hhu.ac.kr/english/