Quod Erat Demonstrandum

2009/01/31

拉 curve

Filed under: Additional / Applied Mathematics,Junior Form Mathematics — johnmayhk @ 10:48 下午
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2009/01/30

[FW][News]中七尖子破經典數題奪獎

Filed under: Report,University Mathematics — johnmayhk @ 11:06 下午

(星島日報報道)

2009/01/19

數尾零

Filed under: mathematics — johnmayhk @ 11:09 上午
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2009-01-16 學校旅行日，有同學問：找出最大正整數 $y$ 使

$\frac{20090116!}{10^y}$

2009/01/16

I’ve never been to me

Filed under: Life — johnmayhk @ 9:33 下午

To my love and my self…

I’ve been to paradise, never been to me.
Perhaps love, the memory of love will bring you home. (more…)

2009/01/15

中二數學：不等式

Filed under: Junior Form Mathematics,Teaching — johnmayhk @ 10:17 下午

If $a > b$, then $3a$ ______ $3b$. (more…)

2009/01/14

16 踢（數學篇）

Filed under: Fun,mathematics,Teaching — johnmayhk @ 12:10 下午

1. 眼睛不能沒眼淚，等式不能沒等號。

2. 愛你的只有一個我，開方的只有一個根。 (more…)

2009/01/12

《悼興芹》

Filed under: Life — johnmayhk @ 11:59 下午

2009/01/10

John 的心情仍然欠佳，為何？

Filed under: Life,mathematics — johnmayhk @ 3:15 下午
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A. 感到光榮
B. 沒有感覺
C. 感到憤怒（？）

2009/01/09

錯在哪裡系列：零是不定義？

Filed under: Additional / Applied Mathematics,HKCEE — johnmayhk @ 4:01 下午
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When giving the following basic trigonometry question in F.4 additional mathematics lesson:

Given $A + B + C = 90^o$, prove that $\tan A\tan B + \tan B\tan C + \tan C\tan A = 1$.

It should be extremely easy, (more…)

2009/01/03

Filed under: Fun — johnmayhk @ 3:47 下午

What do you feel? (more…)

2009/01/02

Something about F.6 Pure Math First Term Exam

Filed under: HKALE,Pure Mathematics — johnmayhk @ 4:24 下午
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Here is one of questions:

Given that

$x_1 = 4, x_2 = 12$
$x_{n + 2} = 4(x_{n + 1} - x_{n})$ ($\forall n \in \mathbb{N}$)

Prove that

(a) $x_n = 2(1 + \frac{1}{n})x_{n - 1}$
(b) $x_n = (n + 1)2^n$

The question requires students to use mathematical induction to prove that.

I’d like to give another ways.

(method 1) (more…)

中二數學靈異事件：集體幻覺

Filed under: Junior Form Mathematics,Report,Teaching — johnmayhk @ 12:09 下午