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Challenging problems in geometry 几何难题

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Challenging problems in geometry 几何难题

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作 者:Alfred S. Posamentier , Charles T. Salkind 著

出 版 社:

出版时间:1996-5-1

I S B N:0486691543

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内容简介

Stimulating collection of unusual problems dealing with congruence and parallelism, the Pythagorean theorem, circles, area relationships, Ptolemy and the cyclic quadrilateral, collinearity and concurrency and many other topics. Arranged in order of difficulty. Detailed solutions.

作者简介

目录

Introduction
Preparing to Solve a Problem
SECTION I A New Twist on Familiar Topics
1.Congruence and Parallelism
2.Triangles in Proportion
3.The Pythagorean Theorem
4.Circles Revisited
5.Area Relationships
SECTION II Further Investigations
6.A Geometric Potpourri
7.Ptolemy and the Cyclic Quadrilateral
8.Menelaus and Ceva: Collinearity and Concurrency
9.The Simson Line
10.The Theorem of Stewart
Hints
"Appendix I: Selected Definitions, Postulates, and Theorems"
Appendix II: Selected Formulas

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