Mathematics in HKCEE, HKAL, and Beyond的回應 http://koopakoo.wordpress.com Just another WordPress.com weblog Sun, 20 Dec 2009 15:33:42 +0000 http://wordpress.com/ hourly 1 Comment on Personal Stuff by koopakoo http://koopakoo.wordpress.com/personal-stuff/#comment-177 koopakoo Sun, 20 Dec 2009 15:33:42 +0000 http://koopakoo.wordpress.com/?page_id=453#comment-177 We are starting Powers of Matrices. (just finished system of equations) We are starting Powers of Matrices. (just finished system of equations)

]]> Comment on Personal Stuff by Anson http://koopakoo.wordpress.com/personal-stuff/#comment-176 Anson Sat, 19 Dec 2009 08:03:08 +0000 http://koopakoo.wordpress.com/?page_id=453#comment-176 Dear Koopa, I would like to ask your teaching schedule for F.6 Pure Maths. What is the current teaching topic? Thank you for your attention! Regards, Anson Dear Koopa,

I would like to ask your teaching schedule for F.6 Pure Maths. What is the current teaching topic?

Thank you for your attention!

Regards,
Anson

]]> Comment on A nice coordinate geometry problem (suitable for Form 7 pure) by Kim http://koopakoo.wordpress.com/2009/10/28/a-nice-coordinate-geometry-problem-suitable-for-form-7-pure/#comment-170 Kim Sun, 01 Nov 2009 08:24:03 +0000 http://koopakoo.wordpress.com/?p=701#comment-170 as follow~ http://i271.photobucket.com/albums/jj157/kimkim0513/sshot-2009-11-01-16-22-52.png as follow~

http://i271.photobucket.com/albums/jj157/kimkim0513/sshot-2009-11-01-16-22-52.png

]]> Comment on To my Form 7 students: I am impressed! by koopakoo http://koopakoo.wordpress.com/2009/10/15/to-my-form-7-students-i-am-impressed/#comment-129 koopakoo Mon, 19 Oct 2009 15:58:42 +0000 http://koopakoo.wordpress.com/?p=688#comment-129 Updated, please read and let me know if this is not clear. Updated, please read and let me know if this is not clear.

]]> Comment on Mental exercises for my Pure Complex Class (1) by KIM http://koopakoo.wordpress.com/2009/08/19/mental-exercises-for-my-pure-complex-class-1/#comment-128 KIM Sun, 18 Oct 2009 11:30:51 +0000 http://koopakoo.wordpress.com/?p=656#comment-128 it should be showed that (root3 – root2) is not rational that does not make the question easier just back to the loop, the original question in another form only it should be showed that
(root3 – root2) is not rational

that does not make the question easier

just back to the loop,
the original question in another form only

]]> Comment on To my Form 7 students: I am impressed! by Ashley Cheng http://koopakoo.wordpress.com/2009/10/15/to-my-form-7-students-i-am-impressed/#comment-127 Ashley Cheng Sat, 17 Oct 2009 09:01:37 +0000 http://koopakoo.wordpress.com/?p=688#comment-127 Can you further explain the last paragraph? I don't understand the last part - why would integrating 100 times yield 1/101? Can you further explain the last paragraph? I don’t understand the last part – why would integrating 100 times yield 1/101?

]]> Comment on Mental exercises for my Pure Complex Class (1) by williamsin http://koopakoo.wordpress.com/2009/08/19/mental-exercises-for-my-pure-complex-class-1/#comment-121 williamsin Mon, 28 Sep 2009 06:54:04 +0000 http://koopakoo.wordpress.com/?p=656#comment-121 assume sqrt 2 + sqrt 3 is rational. Also assume sqrt 6 is irrational. then [sqrt 2 + sqrt 3]^2 should is rational. then [sqrt 2 + sqrt 3]^2 = 5 + 2 sqrt 6. But in order for this to be true, sqrt 6 is rational, which contradicts our assumption. Therefore, sqrt 2 + sqrt 3 is irrational. assume sqrt 2 + sqrt 3 is rational. Also assume sqrt 6 is irrational.
then [sqrt 2 + sqrt 3]^2 should is rational.
then [sqrt 2 + sqrt 3]^2 = 5 + 2 sqrt 6.
But in order for this to be true, sqrt 6 is rational, which contradicts our assumption.
Therefore, sqrt 2 + sqrt 3 is irrational.

]]> Comment on Mental exercises for my Pure Complex Class (1) by william http://koopakoo.wordpress.com/2009/08/19/mental-exercises-for-my-pure-complex-class-1/#comment-120 william Mon, 28 Sep 2009 06:40:31 +0000 http://koopakoo.wordpress.com/?p=656#comment-120 if it is rational , it can express as a/b ,where a,b are intergers, since root2 + root3 = 1/(root3 – root2) <= after rationalize (root3 – root2) =/= integer so root2 + root3 is irrational 講左＝無講－＿－ if it is rational , it can express as a/b ,where a,b are intergers,

since root2 + root3 = 1/(root3 – root2) <= after rationalize

(root3 – root2) =/= integer

so root2 + root3 is irrational
講左＝無講－＿－

]]> Comment on Mental exercises for my Pure Complex Class (1) by victoria chan,vanessa chan http://koopakoo.wordpress.com/2009/08/19/mental-exercises-for-my-pure-complex-class-1/#comment-112 victoria chan,vanessa chan Fri, 28 Aug 2009 15:45:45 +0000 http://koopakoo.wordpress.com/?p=656#comment-112 What means by spot the error ??? What means by spot the error ???

]]> Comment on Mental exercises for my Pure Complex Class (1) by koopakoo http://koopakoo.wordpress.com/2009/08/19/mental-exercises-for-my-pure-complex-class-1/#comment-111 koopakoo Fri, 28 Aug 2009 15:12:48 +0000 http://koopakoo.wordpress.com/?p=656#comment-111 Can anyone in the class spot the error? Can anyone in the class spot the error?

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