Solving problems in geometry insights and strategies
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| Hauptverfasser: | , |
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| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
New Jersey ; London ; Singapore ; Beijing ; Shanghai ; Hong Kong ; Taipei ; Chennai ; Tokyo
World Scientific
[2018]
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| Schriftenreihe: | Mathematical olympiad series
vol. 10 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
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MARC
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| 264 | 4 | |c © 2018 | |
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Datensatz im Suchindex
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|---|---|
| adam_text | Contents
Preface v
Chapter 1 Congruent Triangles 1
1.1 Preliminaries 1
1.2 Congruent Triangles 8
1.3 Circumcenter and Incenter of a Triangle 18
1.4 Quadrilaterals 22
1.5 Exercises 32
Chapter 2 Similar Triangles 35
2.1 Area of a Triangle 3 5
2.2 Intercept Theorem 47
2.3 Similar Triangles 55
2.4 Introduction to Trigonometry 63
2.5 Ceva’s Theorem and Menelaus’ Theorem 67
2.6 Exercises 83
Chapter 3 Circles and Angles 87
3.1 Angles inside a Circle 87
3.2 Tangent of a Circle 101
3.3 Sine Rule 110
3.4 Circumcenter, Incenter and Orthocenter 118
3.5 Nine-point Circle 125
3.6 Exercises 129
Chapter 4 Circles and Lines 133
4.1 Circles and Similar Triangles 133
4.2 Intersecting Chords Theorem and Tangent Secant Theorem 144
4.3 Radical Axis 154
4.4 Ptolemy’s Theorem 165
4.5 Exercises 171
Chapter 5 Basic Facts and Techniques in Geometry 175
5.1 Basic Facts 175
5.2 Basic Techniques 195
5.3 Constructing a Diagram 213
5.4 Exercises 226
Chapter 6 Geometry Problems in Competitions 229
6.1 Reverse Engineering 229
6.2 Recognizing a Relevant Theorem 238
6.3 Unusual and Unused Conditions 245
6.4 Seeking Clues from the Diagram 255
6.5 Exercises 270
Insights into Exercises 273
Solutions to Exercises 299
|
| any_adam_object | 1 |
| author | Hang Kim Hoo Wang, Haibin |
| author_GND | (DE-588)1137720328 |
| author_facet | Hang Kim Hoo Wang, Haibin |
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| bvnumber | BV044562101 |
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| ctrlnum | (OCoLC)960424620 (DE-599)BSZ477311121 |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV044562101 |
| illustrated | Illustrated |
| indexdate | 2024-12-24T06:11:16Z |
| institution | BVB |
| isbn | 9789814590723 9789814583749 |
| language | English |
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| physical | x, 346 Seiten Illustrationen, Diagramme |
| publishDate | 2018 |
| publishDateSearch | 2018 |
| publishDateSort | 2018 |
| publisher | World Scientific |
| record_format | marc |
| series | Mathematical olympiad series |
| series2 | Mathematical olympiad series |
| spellingShingle | Hang Kim Hoo Wang, Haibin Solving problems in geometry insights and strategies Mathematical olympiad series Internationale Mathematik-Olympiade (DE-588)4169097-7 gnd Elementargeometrie (DE-588)4137488-5 gnd |
| subject_GND | (DE-588)4169097-7 (DE-588)4137488-5 (DE-588)4143389-0 |
| title | Solving problems in geometry insights and strategies |
| title_auth | Solving problems in geometry insights and strategies |
| title_exact_search | Solving problems in geometry insights and strategies |
| title_full | Solving problems in geometry insights and strategies Kim Hoo Hang (Institute of Advanced Studies, Nanyang Technological University, Singapore), Haibin Wang (NUS High School of Mathematics and Science, Singapore) |
| title_fullStr | Solving problems in geometry insights and strategies Kim Hoo Hang (Institute of Advanced Studies, Nanyang Technological University, Singapore), Haibin Wang (NUS High School of Mathematics and Science, Singapore) |
| title_full_unstemmed | Solving problems in geometry insights and strategies Kim Hoo Hang (Institute of Advanced Studies, Nanyang Technological University, Singapore), Haibin Wang (NUS High School of Mathematics and Science, Singapore) |
| title_short | Solving problems in geometry |
| title_sort | solving problems in geometry insights and strategies |
| title_sub | insights and strategies |
| topic | Internationale Mathematik-Olympiade (DE-588)4169097-7 gnd Elementargeometrie (DE-588)4137488-5 gnd |
| topic_facet | Internationale Mathematik-Olympiade Elementargeometrie Aufgabensammlung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=029960683&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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