各數學教科書與 特別快車7書 的內容一覽表 - Mathematics in Focus 數學新思維

Mathematics in Focus 數學新思維

教育出版社有限公司   (顧問︰黃家鳴   作者︰洪進華、朱永倡、麥國彰、陳國君)

Book A (A冊)

1.     Quadratic Equations in One Unknown (I)     一元二次方程 (一) ... 天書 A 第 47~74 條片

1.1   Solving Quadratic Equations by the Factor Method

1.2   Solving Quadratic Equations by Taking Square Roots

1.3   Solving Quadratic Equations by the Quadratic Formula

1.4   Solving Quadratic Equations by the Graphical Method

1.5   Solving Problems Involving Quadratic Equations

2.     Quadratic Equations in One Unknown (II)   一元二次方程 (二).... 天書 A 第 29~46,75~105 條片

2.1   Nature of Roots of Quadratic Equations

2.2   Relationship between the Roots and Coefficients

2.3   The Number Systems

2.4   Operations of Complex Numbers

3.     Functions and Graphs             函數和函數的圖像..........…............ 天書 A 第 106~139 條片

3.1   Concept of a Function

3.2   Notation and Representation of a Function

3.3   Quadratic Functions and Their Graphs

3.4   Finding the Maximum and Minimum Values of Quadratic Functions by the Algebraic Method

4.     More about Polynomials         續多項式........…..........................  天書 F 第 83~123 條片 

4.1   Revision on Polynomials

4.2   Division of Polynomials

4.3   Remainder Theorem

4.4   Factor Theorem

4.5   Greatest Common Divisor and Least Common Multiple of Polynomials

4.6   Simple Operations of Rational Functions

數學進一步應用︰斐波那契數列.......…..........................................… 天書 E 第 137~140

Book B (B冊)

5.     Exponential and Logarithmic Function 指數函數和對數函數....… 天書 A 第 140~192 條片

5.1   Rational Indices

5.2   Introduction to Logarithms

5.3   Properties of Logarithms

5.4   Exponential Functions and Logarithmic Functions

5.5   Exponential Equations and Logarithmic Equations

5.6   Applications of Exponential Functions and Logarithmic Functions in Real Life

6.     Trigonometry (I)      三角學(一) ………...................................… 天書 B 第 3~80 條片

6.1   Trigonometric Ratios

6.2   Graphs of Trigonometric Functions

6.3   Trigonometric Relations

6.4   Trigonometric Equations

7.     Trigonometry (II)     三角學(二) ………...................................… 天書 B 第 81~167 條片

7.1   Area of Triangles

7.2   Sine Formula

7.3   Cosine Formula

7.4   Solving Two-dimensional Problems

7.5   Solving Three-dimensional Problems

8.     More about Equations    續方程………...............................…… 天書 F 第 124~152 條片

8.1   Solving Simultaneous Equations by the Graphical Method

8.2   Solving Simultaneous Equations by the Algebraic Method

8.3   Solving Equations that Can be Transformed into Quadratic Equations

8.4   Solving Problems Leading to Quadratic Equations

數學進一步應用︰數學遊戲 – 注水問題、三次方程   …....... 天書 E 第 142, 天書 G 第 49 條片 

C冊

第9章    變分 ………………........................................................… 天書 G 第 31~48 條片  

第10章  圓的基本性質(一)………...........................................….… 天書 F 第 3~38 條片 

第11章  圓的基本性質(二)………............................................….… 天書 F 第 39~74 條片 

第12章  等差數列和等比數列…..................................................... 天書 E 第 3~115 條片

第13章  等差數列及等比數列的求和法…........................................ 天書 E 第 3~115 條片

數學進一步應用︰托勒密定理、塞瓦定理、金錢的時間價值….......... 天書 E 第 132~136

D冊

第14章  軌跡............................................................................… 天書 C 第 109~125 條片

第15章  直線和圓的方程............................................................… 天書 C 第 3~103 條片

第16章  不等式……...................................................................… 天書 G 第 50~107 條片  

第17章  線性規劃……...............................................................… 天書 G 第 108~145 條片  

第18章  續函數圖像..................................................................… 天書 A 第 193~201 條片

數學進一步應用︰使曲線變成直線、與現實生活情境有關的圖像....... 天書 C 第 44,45 條片

E冊

第19章  排列與組合….….........................................................… 天書 D 第 56~92, 148~214 條片

第20章  概率………................................................................… 天書 D 第 3~55, 93~147 條片

第21章  離差的量度.........…....................................................… 天書 D 第 215~250 條片

第22章  統計的應用及誤用....................................................…… 天書 D 第 215~250 條片

連結 Link:   Herman Yeung 數學 (必修) Maths Core 的 YouTube 課程

連結 Link:   各數學教科書與 特別快車7書 的內容一覽表

連結 Link:   Herman Yeung Blog 主目錄