វិញ្ញាសាអូឡាំពិកគណិតវិទ្យាវៀតណាមសម្រាប់ថ្នាក់ទី១០ ឆ្នាំ២០១៣

សួស្តីមិត្តអ្នកអាន ជាពិសេសប្អូនៗដែលចូលចិត្តសិក្សាស្រាវជ្រាវគណិតវិទ្យាទាំងអស់គ្នា! សម្រាប់ថ្ងៃចូលឆ្នាំថ្មី ២០១៥ នេះ ម្ចាស់ប្លក់ High School Cambodia មានកាដូពិសេសសម្រាប់អ្នកទាំងអស់គ្នា ជាពិសេសសម្រាប់មិត្តអ្នកអានដែលតែងចូលមកទស្សនាប្លក់មួយនេះ!
ខាងក្រោម គឺជាសៀវភៅគណិតវិទ្យាអូឡាំព្យាដសម្រាប់ថ្នាក់ទី១០ ដែលប្រឡងនៅប្រទេសវៀតណាមឆ្នាំ២០១៣ ដែលខ្ញុំបានចំនាយពេល ធ្វើការបកប្រែជាភាសាខ្មែរ សម្រាប់បានជាឯកសារបន្ថែម ក្នុងការសិក្សារបស់ប្អូនជំនាន់ក្រោយ! សង្ឃឹមថា សៀវភៅមួយនេះ នឹងក្លាយជាមិត្តដ៏ល្អក្នុងការសិក្សារបស់ប្អូន និងមិត្តអ្នកសិក្សាគណិតវិទ្យាទាំងអស់គ្នា!

About This Book:

+Tittle: វិញ្ញាសាអូឡាំពិកគណិតវិទ្យាវៀតណាមសម្រាប់ថ្នាក់ទី១០ ឆ្នាំ២០១៣

+Size: 2.25MB

+File Type: PDF
+Language: ភាសាខ្មែរ

+Link Download: Click Here

JBMO 1997 In Khmer Version Full Test Paper

APhO 2014 Full Test Paper: Khmer Version

Big thank to brother David Pech for this document and Mr. Sriv Tharith for giving him this document too.

For who need to know more about this test, how it look like and how difficult it is, let check this test out.

+Link Download: Khmer Version

+Link Download: English Version

Maths Exercise #42: Inequality fro Balkan MO 2014

ប្រធានលំហាត់៖
គេឲ្យ $x,\ y$ និង $z$ ជាចំនួនពិតវិជ្ជមានបី ផ្ទៀងផ្ទាត់ $xy+yz+zx=3xyz$។
បង្ហាញថាៈ  $x^2y+y^2z+z^2x\ge 2(x+y+z)-3$ ហើយសមភាពកើតមាននៅពេលណា?

ដំណោះស្រាយ
លក្ខខណ្ឌដែលឲ្យអាចសរសេរជា $\dfrac{1}{x}+\dfrac{1}{y}+\dfrac{1}{z}=3$
តាមនេះ, យើងបានៈ
\[ x^2y+y^2z+z^2x-2(x+y+z)+3=x^2y-2x+\frac{1}{y}+y^2z-2y+\frac{1}{z}+z^2x-2x+\frac{1}{x}\\=y\left(x-\frac{1}{y}\right)^2+z\left(y-\frac{1}{z}\right)^2+x\left(z-\frac{1}{z}\right)^2\ge 0\]
វិសមភាពកើតមានលុះត្រាតែ $xy=yz=zx=1$ រឺនៅពេល $x=y=z=1$

Maths Exercise #39: VNMO 30-4-2011 For Grade 11, P1

ដោះស្រាយសមីការខាងក្រោមលើសំនុំចំនួនពិតៈ
\[\sqrt{1+\sqrt{1-x^2}}[\sqrt{(1+x)^3}-\sqrt{(1-x)^3}]=2+\sqrt{1-x^2}\]

ដំណោះស្រាយ
លក្ខខណ្ឌៈ  $-1\le x\le 1$
តាង $x=\cos t, 0\le t\le \pi$
យើងបាន សមីការៈ $\sqrt{1+\sin t}[\sqrt{(1+\cos t)^3}-\sqrt{(1-cos t)^3}]=2+\sin t$
$\Leftrightarrow \sqrt{(cos\frac{t}{2}+\sin\frac{t}{2})^2}[\cos^3\frac{t}{2}-\sin^3\frac{t}{2}]2\sqrt{2}=2+\sin t$
$\Leftrightarrow (\cos^2\frac{t}{2}-\sin^2\frac{t}{2})(1+\cos\frac{t}{2}\sin\frac{t}{2})2\sqrt{2}=2+\sin t$
$\Leftrightarrow \cos t(2+\sin t)\sqrt{2}=2+\sin t \Leftrightarrow (2+\sin t)(\sqrt{2}\cos t-1)=0$
$\Leftrightarrow \sqrt{2}\cos t-1=0\Leftrightarrow \cos t=\frac{1}{\sqrt{2}}\Leftrightarrow x=\frac{1}{\sqrt{2}}$

Cambodian APhO Team Pictures: Before and After Experimental Test!

Below are some picture about ours team before 2nd test, experimental test. Let see, what are they doing?

"Prak Sivhou, Chan Pichet, Ly Sokanha, and David Pech listen about sth? ^_^"

"Ours team and other students listen the explanation about experiment place"

"Who have the most serious face here? :D "

"What is on that table?"

"Cambodia team for the experimental test"

After exam, relax now !! :D

"What are they doing now? Playing something?"

"Street view with David Pech"

"Semi smile from Kompong Cham boy at Singapore, APhO 2014 Test" ^_^

Now we all waiting to see the result that will be release on May 18th. Let wait together with them.

Official Result Of APMO 2014

• May be you wait for a long time to see this result. And now it release already. 
• Let check out the top 10 team of this year:
• And all the gold medal owner in this year:
• For Cambodia, we got 25th/33 teams with no medal in this year, sorry for all candidate who has jointed this test. Hope next generation will done well in the next APMO.
• You can see all the related post in APMO by this link: http://highschoolcam.blogspot.com/search/label/APMO
• APMO official website here: http://daryn.kz/apmo?lang=en

Free Maths Book: IMO 2011 Short List With Full Solution

52nd International Mathematical Olympiad Problem Shortlist with solutions is a good document for all high school student who need to prepare for IMO

So let enjoy download this book for fee now by the link below.

About this book:

+Tittle: IMO 2011 Short List With Full Solution
+Language: English 

+Size: 700KB

+File Type: PDF

+Link Download: Dropbox File




Need More Book?? Let check the link below ៖

• Khmer Maths Books៖ http://highschoolcam.blogspot.com/p/khmer-maths-books.html
• English Maths Books៖ http://highschoolcam.blogspot.com/p/english-maths-books.html
• Vietnam Maths Books៖ http://highschoolcam.blogspot.com/p/vietnam-maths-books.html

Physics Exercise#22: VNPhO 30-4-2004 Grade 10, P1

Enjoy new physics exercise now, it selected from VNPhO 30-4-2004.

This exercise is for grade 10 here but all high school students can enjoy it all ^_^

Free Physics Book: International-Physics-Olympiad-1967-2010

For all students who love physics and want to do more difficult physics exercise in high school, this book will be make you enjoy with what you seek for.

International Physics Olympiad is a collection of the test paper in theorem and experiment exercise with full solution.

About this book:

+Tittle:  Tuyen Tap Bat Dang Thuc

+Size: 1.84MB

+File Type: PDF

+Link Download: Dropbox File

Free Maths Book: International-Mathematical-Olympiad-1959-1999

 

    International Mathematical Olympiad 1959-1999
by sir.ISTVAN REIMAN is one of the good book for
high school students who want to joint outstanding  students test, especially IMO test.


    Hope this book will be good for all of you who like mathematics. Let enjoy download it for free.


    About this book:

+Tittle:  Tuyen Tap Bat Dang Thuc

+Size: 1.84MB

+File Type: PDF

+Link Download: Dropbox File

Test Paper: APMO 2014 Original Test Paper With Full Solution Has Released

ទើបតែទទួលបានថ្មីៗ នូវវិញ្ញាសាដើម និងដំណោះស្រាយពេញលេញនៃការប្រឡងគណិតវិទ្យាអាស៊ីប៉ាស៊ីភិក ឆ្នាំ២០១៤។

តើអ្នកដោះស្រាយវិញ្ញាសានេះបានល្អទេ?  មានសង្ឃឹមថានឹងទទួលបានមេដាយសំរាប់ប្រទេសខ្មែរយើងទេ? សង្ឃឹមថាឆ្នាំនេះ  អាចនឹងមានបេក្ខជនដែលទទួលបានលទ្ទផលល្អជាងឆ្នាំកន្លង បើទោះជាឆ្នាំនេះ វិញ្ញាសាមានលក្ខណៈលំបាកជាងឆ្នាំទៅក៏ដោយ។

ជួនពរឲ្យអ្នកដែលចូលប្រឡង APMO នៅឆ្នាំនេះទទួលបានលទ្ធផលល្អ។

អ្នកអាចទាញយកលំហាត់ និងដំណោះស្រាយក្នុងការប្រឡងនេះ តាមរយៈតំណភ្ជាប់ខាងក្រោម៖

https://www.dropbox.com/s/15tfb5ngr0uxi4w/APMO%202014%20Full%20Solution.pdf

Test Paper: APMO 2014 Full Test Paper In Khmer Version

I just see this test paper pop up on AoPS so i try to translate it again, the truth is i got this test paper since the day after the test day from my Sister, but i don't share to all of u yet cause when i look at the it i saw some missing translated spot. So now let enjoy it in full Khmer version ^_^ 

Still thank to you, Sis. Mary Soeu. 

Free E-Book: Physics Problems For Outstanding Students Test

     This is a free short E-Book about physics problems, collect all previous problems that have in IPho, Apho, and KhPho.  I and brother Poseng Than has prepare this special gift for who has passed the province round and city round and go on to the nation round this year. So let enjoy with this and don't forget to read the last page in this book, cause it the importance info for who need to train more for Nation test.

    Good luck with you study and wish you have the name in the top 10 for this year test.

About This Book:

+Tittle: Short E-Book in Physics for Outstanding student test

+Size: 1.05MB

+File Type: PDF

+Link Download: https://www.dropbox.com/s/u4ndsp0af9ryqkh/CPP%20%28new%20version%29.pdf

Test Paper Book : Hong Kong Preliminary Selection Contest 1991-2008

IMO-Hong Kong Preliminary Selection Contest 1991-2008, a good test paper-book from 

teacher R-Sophorn. 

About This Book:

+Tittle: IMO-Hong Kong Preliminary Selection Contest 1991-2008

+Size: 2.79MB

+File Type: PDF

+Link Download: https://www.dropbox.com/s/f9w4bxkbjdz0de4/R-Sophorn.%20Instructor%20of%20Maths%20at%20PSIS-IMO-Hong%20Kong%20Preliminary%20Selection%20Contest%201991-2008.pdf

Free E-Book: New Maths Book For Grade 10

Happy Chinese New Year to all my blog lovers ^_^ Today i have a small gift for you, hope you will like it.

About This Book:
+Tittle: Vietnam Mathematical Olympiad 30-4-2013-Grade 10
+Size: 2.25MB
+File Type: PDF
+Link Download: Click Here 

For more translated book by me click on this link: http://highschoolcam.blogspot.com/p/love.html

Physics Exercise#19: Hard Problems ^_^

This one seem so difficult, maybe i can translate it wrong in the solution, so if anyone have new solution, please send it to me ^_^

Maths Exercise #27: Answer for VNMO 2014-Day 1-P1

Test Paper: Hot, VNMO 2014 Just Release Test Paper In Khmer Version ^_^

Waiting for full solution when i can find out soon, but now let enjoy full test paper of VNMO 2014.

Maths Exercise #25: Good one from CMO, 2000

Solution by brother Somaisatchya Un