高一年級奧數教程 (英文) 熊斌 馮志剛 9787523211380 【台灣高等教育出版社】

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物品所在地:中國大陸
原出版社:世界圖書出版有限公司
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書名:高一年級奧數教程 (英文)
ISBN:9787523211380
出版社:世界圖書出版有限公司
著編譯者:熊斌 馮志剛
叢書名:世界數學奧林匹克經典
頁數:565
所在地:中國大陸 *此為代購商品
書號:1633281
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內容簡介

「奧數教程」叢書由王元院士擔任顧問,數學奧林匹克國家隊領隊單墫和熊斌教授任主編,由國家集訓隊教練執筆聯合編寫。形成了「精講+詳解+演練」的三維立體學習模式,重點突出,內容夯實,邏輯清晰,條理清楚,使學習更加高效,是學生備戰奧賽的良佐讀物。 本書適用於高一年級。

作者簡介

馮志剛,上海市上海中學特級教師,中國數學奧林匹克高級教練員。曾任IMO中國國家隊副領隊。多次參与中國西部數學奧林匹克的命題工作。所教學生中有2人獲得國際數學奧林匹克獎牌,在各級競賽中,有200多人次在市級以上數學競賽中獲得一等獎,有40餘人次獲得參加中國數學奧林匹克(冬令營)的資格,20餘人次進入國家集訓隊。發表論文10多篇,參与和主編了多套叢書,著作累計達100多萬字。

目錄

Preface
1 Concepts and Operations of Sets
2 Number of Elements in a Finite Set
3 Quadratic Functions
4 (Graphs and Properties of Functions
5 Power Functions, Exponential Functions, and Logarithmic Functions
6 Functions with Absolute Values
7 Maximum and Minimum Values of Functions
8 Properties of Inequalities
9 Basic Inequalities
10 Solutions of Inequalities
11 Synthetical Problems of Inequalities
12 Concepts and Properties of Trigonometric Functions
13 Deformation via Trigonometric Identities
14 Trigonometric Inequalities
15 Extreme Value Problems of Trigonometric Functions
16 Inverse Trigonometric Functions and Trigonometric Equations
17 The Law of Sines and the Law of Cosines
18 Concepts and Operations of Vectors
19 "Angles" and "Distances" in Spaces
20 Cross Sections, Folding, and Unfolding
21 Projections and the Area Projection Theorem
22 Partitions of Sets
23 Synthetical Problems of Quadratic Functions
24 Maximum and Minimum Values of Discrete Quantities
25 Simple Function Itearation and Functional Equations
26 Constructing Functions to Solve Problems
27 Vectors and Geometry
28 Tetrahedrons
29 The Five Centers of a Triangle
30 Some Famous Theorems in Plane Geometry
31 The Extreme Principle
Solutions
1 Concepts and Operations of Sets
2 Number of Elements in a Finite Set
3 Quadratic Functions
4 Graphs and Properties of Functions
5 1Power Functions, Exponential Functions, and Logarithmic Functions
6 1 Functions with Absolute Values
7 Maimum and Minimum Values of Functions
8 Properties of Inequalities
9 Basic Inequalities
10 Solutions of Inequalities
11 Synthetical Problems of Inequalities
12 Concepts and Properties of Trigonometric Functions
13 Deformation via Trigonometric Identities
14 Trigonometric Inequalities
15 Extreme Value Problems of Trigonometric Functions
16 Inverse Trigonometric Functions and Trigonometric Equations
17 The La of Sines and the Law of Cosines
18 Concepts and Operations of Vectors
19 "Angles" and "Distances" in Spaces
20 Cross Section, Folding, and Unfolding
21 Projections and the Area Projection Theorem
22 Partitions of Sets
23 Synthetical Problems of Quadratic Functions
24 Maximum and Minimum Values of Discrete Quantities
25 Simple Function Iteration and Functional Equations
26 Constructing Functions to Solve Problems
27 Vectors and Geometry
28 Tetrahedrons
29 The Five Centers of a Triangle
30 Some Famous Theorems in Plane Geometry
31 The Extreme Principle
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