# Quod Erat Demonstrandum

## 2008/11/28

### 幾乎每早都聽到的歌：常言道

Filed under: Life — johnmayhk @ 11:33 下午
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* 得失只一念 風景不轉心境轉 煩惱來自偏執一切也依戀

la-la-la…. la-la-la…

Repeat *

la-la-la…. la-la-la…

## 2008/11/27

### 證明不等式的基礎招式 (Part 1)

Filed under: Pure Mathematics,Teaching — johnmayhk @ 6:36 下午
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$A - B \ge 0$，或 (more…)

## 2008/11/26

### F.2 Mathematics : a minor problem in factorization

Filed under: Junior Form Mathematics — johnmayhk @ 6:11 下午
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Factorize

$1 - x^2(1 - 2x)^2$. (more…)

## 2008/11/24

### what an abundant Saturday

Filed under: Family,Report — johnmayhk @ 4:13 下午
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What an abundant Saturday (2008-11-22).

In the morning, I’d attended the seminar organized by the Hong Kong Association for Science and Mathematics Education (香港數理教育學會). (more…)

## 2008/11/21

### Exist or does not exist

Is giving hints a good way to help students in solving mathematics problems? Urm, sometimes it may not.

Here is a common m.i. question in recent F.4 additional mathematics regular test:

Show that $n^3 - n + 3^n$ is divisible by 3 for any positive integer $n$. (more…)

## 2008/11/18

### Create an m.i. question

It is not difficult to create questions like:

Prove by mathematical induction that

$\frac{3^3\times1}{4!} + \frac{3^4\times2}{5!} + \frac{3^5\times3}{6!} + \dots + \frac{3^{n+2}\times n}{(n+3)!} = \frac{9}{2} - \frac{3^{n+3}}{(n+3)!}$ (more…)

## 2008/11/16

### F.2 Mathematics: factorization by cross method

Filed under: Junior Form Mathematics — johnmayhk @ 6:20 下午
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Factorize

$x^2 - 5x - 6$.

By using the cross method, students may give the following two ‘possible answers’.

A. $(x - 2)(x - 3)$
B. $(x + 1)(x - 6)$ (more…)

## 2008/11/15

### 杜西現象

Filed under: Fun,Junior Form Mathematics — johnmayhk @ 3:30 下午
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### 在葵盛村的童年

Filed under: Family — johnmayhk @ 3:28 下午

## 2008/11/14

### 錯在哪裡系列：切於一點

Filed under: HKCEE,mathematics — johnmayhk @ 12:25 下午
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## 2008/11/11

### ISEF

Filed under: Fun,University Mathematics — johnmayhk @ 5:27 下午
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## 2008/11/10

### 正割餘割

Filed under: Additional / Applied Mathematics,HKCEE — johnmayhk @ 9:26 下午
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## 2008/11/09

### Initial guess

Filed under: Additional / Applied Mathematics,HKALE — johnmayhk @ 9:36 下午
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$x - \frac{x^3}{9} + \frac{x^5}{11} - \frac{x^{15}}{2008} = 0.123$

## 2008/11/08

### 給太太的生日禮物

Filed under: Family,Fun — johnmayhk @ 11:24 上午

1. 到鯉魚門吃海鮮
2. 超巨型大禮（這個要保密 ^_^）
3. 小小玩意：

## 2008/11/06

### 續：零的零次方

Filed under: Fun — johnmayhk @ 6:34 下午
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