[HKDSE Core] 101奪星* 數學題

Q1 Polynomial

When a polynomial f(x) is divided by x + 2, the remainder is -7 and when it is divided by x - 3, the remainder is 3. Find the remainder when f(x) is divided by (x +2)(x - 3) .


http://lsforum.net/board/redirect.php?tid=234456&goto=lastpost#lastpost

[歡迎自修生] 全職補Math Core坐5望5** [Flexible topics, 平日上下晝都得]

F.6 Math Core intensive 坐5望5** 私補 (小組教授可享優惠)

Flexible topics, flexible time 

Topic	預計堂數
Quadratic equations in one unknown Functions and graphs Exponential and logarithmic functions More about graphs of functions	3
More about polynomials More about equations Variations	1-2
Arithmetic and geometric sequences and their summations	1-2
Inequalities and linear programming	1
Basic properties of circles	2
Locus, Equations of straight lines and circles	1-2
More about trigonometry	1-2
Permutation and combination More about probability	1-2
Measures of dispersion, Uses and abuses of statistics	1
Mock Examinations	1-2

Total 12-14 lessons(可選擇只補習某些課題)

Suggested schedule:

October: 2-3 lessons

November: 3-4 lessons

December: 4-6 lessons

January: 2-4 lessons

你好! 需要數學科補習嗎?
由於所有大學都睇重Core Mathematics, 考好呢科絕對會令你地入到心儀學系的機會大增
所以如果想坐5望5**的話, 可以比個機會我同你補習!

本人剛於香港中文大學畢業，中學時就讀九龍塘區Band.1 英文中學，有多年補習經驗，擅長以深入淺出的方法，幫助學生牢記知識及答題技巧，絕對有信心令學生在短時間內有明顯進步，並有多間學校試卷可供參考。

-通常每次補1.5~2小時, 首先用5-10分鐘複習課題的重要概念, 之後操練題目, 教授每一題的解難技巧及注意事項, 並會要求學生下課後完成功課, 鞏固知識

-學生一遇到難題可即時發問

-絕對唔會dum時間

-課程內容彈性, 可根據每位學生的個別情況(如學習速度/學校進度)而訂定

-會替學生確立目標和運用策略去實現(如Level 5/5*/5**)

-For HKDSE學生, 首先by topic操練題目, 之後逐年做past paper

-會提供mock exam papers, 讓學生查找不足, 在正式考試前做足準備

請給予一個機會，致電或WhatsApp 6479 9779 (何Sir)！謝謝！

專補M1 (歡迎F6 urgent revision case)

 

-除左有最貼近syllabus的精美筆記外, 也會根據考評局DSE Sample paper, Practice paper及Past paper (2012和2013年DSE, or AS M&S), 教授最有用的答題技巧

-上課前預先挑選具代表性的題目, 到正式上課時從旁指導學生答題, 講學生有臨場面對題目的機會之餘, 期間也會提出引導性問題, 刺激學生思維, 希望下次遇到同類題型時更能得心應手

-面對基礎冇咁穩紮的學生, 也可以先講述課題要點才開始做練習

 

對象: F4-F6

 

Tutoring flow

1) Binomial theorem, e^x, ln x, graph, limit

2) Differentiation: basic operations, slope of tangents, rate of change, applications (maxima and minima)

3) Integration: basic operations, indefinite and definite integration, integration by substitution, area, other applications, trapezoidal rule

*Differentiation和Integration的LQ係DSE M1卷中較難的部分, 因為考評局會炒埋一齊出, 所以學生要懂得分辨幾時要d, 幾時要in (此部分也是學生能否穩奪5*/5**的關鍵)

4) Probability: conditional probability, independence, Bayes’ Theorem, discrete probability distribution, expectation & variation

5) Distribution: Binomial, Geometric, Poisson and their applications

6) Normal distribution: basic concepts, standardization, applications

7) Sample determination, sampling distribution and point estimates, confidence interval

 

請給予一個機會，致電或WhatsApp 6479 9779 (何Sir)！謝謝

如果想Core考得好

如果想Core考得好, 除左平時要多計數外, 臨場發揮都真係好緊要
要做得快之餘同時要保持冷靜
一睇到題目就要即刻知道係考緊邊個topic, 應該用乜野方法去計
唔好諗住Paper 1時間流流長可以慢慢做
基本上九成人都冇時間check卷
開頭嗰六七題固然可以好快完成
但唔好忘記Section B嗰d
同埋分你係屬於5*定5**的終極一題
呢d都係要用多d時間先處理得好
Paper 2 MC都係一樣
要快而準搵到答案, d概念要好熟, 手到拿來, 因為落到數學的戰場往往都需要爭分奪秒...

中一至中六 暑期數學私人補習 (8~10堂) 溫故知新, 自由時間

中四至中六文憑試數學必修部分主要課題	F.4 to F.6 HKDSE Core Mathematics Main Topics
一元二次方程	Quadratic equations in one unknown
指數函數與對數函數	Exponential and logarithmic functions
續多項式	More about polynomials
續三角	More about trigonometry
圓的基本性質	Basic properties of circles
軌跡	Locus
直線與圓的方程	Equations of straight lines and circles
不等式與線性規畫	Inequalities and linear programming
排列與組合	Permutation and combination
續概率	More about probability
等差數列與等比數列及其求和法	Arithmetic and geometric sequences and their summations

中三主要課題	F.3 Main Topics
有理數及無理數	Rational and Irrational Numbers
整數指數定律	Laws of Integral Indices
三角比和三角的應用(一) (二)	Trigonometric Ratios and Applications of Trigonometry(I) (II)
一元一次不等式	Linear Inequalities in one Unknown
概率的簡單概念	Probability

中二主要課題	F.2 Main Topics
公式	Formulas
恆等式	Identities
率及比	Rate and Ratio
畢氏定理	Pythagoras’ theorem
績立體圖形	More about 3 – D Solids

中一主要課題	F.1 Main Topics
一元一次方程	Linear Equations in One Unknown
百分比(一)	Percentage I
對稱及變換	Symmetry and Transformation
三角形的全等及相似	Congruence and Similarity
與線及直線圖形有關的角	Angles Related with lines and Rectilinear Figures

M1
1. Binomial expansion
2. Exponential and logarithmic functions
3. Derivative of a function
4. Differentiation of a function
5. Second derivative
6. Applications of differentiation
7. Indefinite integrals and their applications
8. Definite integrals and their applications
9. Approximation of definite integrals using the trapezoidal rule
10-18. Statistics


你好! 需要數學科補習老師嗎?

本人剛於香港中文大學畢業，中學時就讀九龍塘區Band.1 英文中學，有多年補習經驗，擅長以深入淺出的方法，幫助學生牢記知識及答題技巧，絕對有信心令學生在短時間內有明顯進步。

-通常每次補1.5~2小時, 教授每一題的解難技巧及注意事項, 並會要求學生下課後完成功課, 鞏固知識
-絕對唔會dum時間
-課程內容彈性, 可根據每位學生的個別情況(如學習速度/學校進度)而訂定
-會替學生確立目標和運用策略去實現(如Level 5/5*/5**)
-For HKDSE學生, 首先by topic操練題目, 之後逐年做past paper
-會提供mock exam papers, 讓學生查找不足, 在正式考試前做足準備

請給予一個機會，致電或WhatsApp 6479 9779 (何Sir)！謝謝