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书名 高一年级奥数教程(英文版)/世界数学奥林匹克经典
分类 教育考试-中小学教辅-高中数学
作者
出版社 世界图书出版有限公司
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简介
内容推荐
“奥数教程”丛书由王元院士担任顾问,数学奥林匹克国家队领队单墫和熊斌教授任主编,由国家集训队教练执笔联合编写。形成了“精讲+详解+演练”的三维立体学习模式,重点突出,内容夯实,逻辑清晰,条理清楚,使学习更加高效,是学生备战奥赛的良佐读物。
本书适用于高一年级。
作者简介
冯志刚,上海市上海中学特级教师,中国数学奥林匹克高级教练员。曾任IMO中国国家队副领队。多次参与中国西部数学奥林匹克的命题工作。所教学生中有2人获得国际数学奥林匹克奖牌,在各级竞赛中,有200多人次在市级以上数学竞赛中获得一等奖,有40余人次获得参加中国数学奥林匹克(冬令营)的资格,20余人次进入国家集训队。发表论文10多篇,参与和主编了多套丛书,著作累计达100多万字。
目录
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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