图书目录
Preface
Chapter 1 Congruent Triangles
1.1 Preliminaries
1.2 Congruent Triangles
1.3 Circumcenter and Incenter of a Triangle
1.4 Quadrilaterals
1.5 Exercises
Chapter 2 Similar Triangles
2.1 Area of a Triangle
2.2 Intercept Theorem
2.3 Similar Triangles
2.4 Introduction to Trigonometry
2.5 Ceva's Theorem and Menelaus' Theorem
2.6 Exercises
Chapter 3 Circles and Angles
3.1 Angles inside a Circle
3.2 Tangent of a Circle
3.3 Sine Rule
3.4 Circumcenter, Incenter and Orthocenter
3.5 Nine-point Circle
3.6 Exercises
Chapter 4 Circles and Lines
4.1 Circles and Similar Triangles
4.2 Intersecting Chords Theorem and Tangent Secant Theorem
4.3 Radical Axis
4.4 Ptolemy's Theorem
4.5 Exercises
Chapter 5 Basic Facts and Techniques in Geometry
5.1 Basic Facts
5.2 Basic Techniques
5.3 Constructing a Diagram
5.4 Exercises
Chapter 6 Geometry Problems in Competitions
6.1 Reverse Engineering
6.2 Recognizing a Relevant Theorem
6.3 Unusual and Unused Conditions
6.4 Seeking Clues from the Diagram
6.5 Exercises
Insights into Exercises
Solutions to Exercises
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