【DSE M2 Formula】DSE數學延伸部分單元二公式表(代數與微積分)

賭Sir @ 杜氏數學
賭Sir @ 杜氏數學 2024-2-16 134,353
既然上一個blog準備咗最齊全嘅M1 Formula,又點少得DSE M2公式表!今次AfterSchool同樣搵咗數學考試專家賭Sir 幫大家整理咗一份最貼近DSE Syllabus嘅M2 Formula Sheet俾大家參考,等大家操M2 past paper嘅時候就更加得心應手、更入腦!
今次我喺 AfterSchool 呢度幫大家整理咗 M2「基本中嘅基本」 —— DSE M2 Formula 公式表!睇完呢份最貼近 DSE Syllabus 嘅 M2 Formula Sheet,相信大家操 M2 Past Paper 嗰陣一定會更加得心應手、更入腦!
喺學習零散嘅新知識之前,有冇諗過需要先建立一個系統性嘅學習模式?我係賭Sir,多年來透過DSE M1 M2 補習幫助學生輕鬆取得大學入場券。想知道我嘅教學理念同往績,即撳:M1 M2 補習名師 賭Sir | AfterSchool
 

Summation 求和

 

Binomial Theorem 二項式定理

  

Trigonometry 三角學

Radian

 

Arc length & Area

 

Trigonometric Functions

 

Trigonometric Identities

 

Double Angle Formulas

 Other variations are:
 

The Number e  (數學常數 e)

 

Logarithm 對數

Properties of natural logarithms

 

Change of base

  

Limits 極限


In particular, for positive numbers a and n, where a>1, we have:
 

Special Limits

 

Differentiation 微分

  

Differentiation of Trigonometric Functions三角函數

Differentiation of Trigonometric Functions

 

Differentiation of Exponential Functions and Logarithmic Functions 指數函數和對數函數

 

Indefinite integration 不定積分

Basic Indefinite Integrals

  

Integration by Substitution

 

Integration by Parts

  
Trigonometric Integrals
 

Definite Integration 定積分

Basic Definite Integrals

 

Definite Integration

 

Definite Integration with Odd and Even functions

  

Area and Volume by Definite Integration

  

Determinats 行列式

Expanding Determinants

  

Rules of Determinants

  

Matrix 矩陣

 

System of Linear Equations 線性方程式

  

Vector 向量

Basic Vector Rules

  

Point of Division

 

Some Vector Properties

  

Vectors in a 2D Coordinates System

  

Vectors in a 3D Coordinates System

 

Dot Product

 

Dot Product in 2 Dimensions

 

Dot Product in 3 Dimensions

 

Rules of Cross Product

 

Some Properties of Cross Product

 

Area by Cross Product

  

Projection of vector 向量投影

Projection of vectors

 
賭Sir @ 杜氏數學

賭Sir @ 杜氏數學

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