亚太数学奥林匹亚研习营专题探讨-几何

亞太數學奧林匹亞研習營

專題探討--幾何全任重jcchuan@.tw2004/2/151.如圖所示，哪對夾角相等？為什麼？

2.

3.面積比？4.若紅色線段之長度=藍色線段之長度之和，則夾角=？5.3-4-5?6.3-4-5?7.3-4-5?8.3-4-5?9.3-4-5?值得收集的平面幾何書籍本書目出現於:48/d2/imo-geometry-2-15-04/bibliography.html平面幾何整體HowardEves,ASurveyofGeometryH.S.M.Coxeter,IntroductiontoGeometryDanPedoe,Geometry,AComprehensiveCourseN.A.Court,Collegegeometry;anintroductiontothemoderngeometryofthetriangleandthecircleRogerA.Johnson,AdvancedEuclideanGeometry

[中文翻譯]R.A.約翰遜[美]近代歐氏幾何學H.S.M.CoxeterandS.L.Greitzer:GeometryRevisited陳維桓譯:幾何學的新探索I.M.YaglomIsaakMoiseevichYaglom,Geometrictransformations.TranslatedfromtheRussianbyAllenShieldsIsaakMoiseevichYaglom,GeometrictransformationsII.TranslatedfromtheRussianbyAllenShieldsIsaakMoiseevichYaglom,GeometrictransformationsIII.TranslatedfromtheRussianbyAbeShenitzer經典HeinrichDorrie,100GreatProblemsofElementaryMathematics[A]介紹了100個初等數學的問題，包括它們的歷史與解答。這100個問題包括26個算術問題、15個測面問題、25個經典的圓錐曲線和擺線問題、10個求積問題、12個航海和天文問題以及12個最大最小問題。本書適合所有對數學感興趣的讀者閱讀。〔中文網頁〕凡異：一百個初等數學問題歷史和解答難得的作品GeorgeS.Carr,FormulasandTheoremsinPureMathematics岩田至康,幾何學大辭典ElishaLoomis,ThePythagoreanPropositionDavidWells,ThePenguinDictionaryofCuriousandInterestingGeometry反演I.Ya.Bakel'man,Inversions.TranslatedbyJoanW.TellerandSusanWilliams.vii,70p.1974Series:(PLM)PopularLecturesinMathematics,王敬庚譯，反演，蘇聯青年數學科普叢書(7).作者書名趣味幾何

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書評巧添輔助線王長明怎樣添加平面幾何輔助線作者介紹盛立人、嚴鎮軍從勾股定理談起戴中器譯趣味幾何學左宗明世界數學名題選講徐松柏贾庆祥侯秀莱等漫話定值(ISBN7-5347-1190-8)孔慶思平面幾何證題研究與指導張運籌高中學生數學課外閱讀系列--三角恒等式及應用常庚哲神奇的複數─如何利用複數解中學數學難題劉毅梅涅勞斯定理與塞瓦定理黃宣國數學奧林匹克大集1994李文漢讓你開竅的數學--趣味題與簡捷解王樹禾生活與科學文庫--數學聊齋李炯生、黃國勳、戴牧民、丁有炳國際數學競賽:100個重要定理和競賽數學的理論與方法，凡異(ISBN957-694-514-3)徐名亮、粵山:平面幾何巧解祝本初平面幾何證題手冊(ISBN7-5363-1326-8)張景中科普著作之介紹張景中,平面幾何新路張景中,數學家的眼光張景中,數學雜談張景中,數學與哲學張景中、曹培生,從數學教育到教育數學張景中,平面幾何新路解題研究張景中,從√2談起張景中,面積關係幫您解題張景中,平面三角解題新思路RossHonsbergerRossHonsberger,EpisodesinnineteenthandtwentiethcenturyEuclideangeometryRossHonsberger,MathematicalgemsRossHonsberger,MathematicalgemsIIRossHonsberger,MathematicalgemsIIIRossHonsberger,InPolya'sFootstepsRossHonsberger,FromErdostoKiev:problemsofOlympiadCaliberRossHonsberger,IngenuityinMathematicsRossHonsberger,MathematicalChestnutsfromAroundtheWorldRossHonsberger,MathematicalDiamondsRossHonsberger,MoreMathematicalMorselsRossHonsberger,MathematicalPlums重要書籍DanPedoe,Circles,AMathematicalViewDanPedoe,Geometry,AComprehensiveCourseDanPedoe,GeometryAndTheVisualArtsHenryErnestDudeney,AmusementsinmathematicsHenryErnestDudeney,536puzzles&curiousproblemsClementV.Durell,Moderngeometry:thestraightlineandcircle期刊連結AmericanMathematicalMonthly全文JSTORProQuestMathematicalGazetteMathematicsMagazine全文JSTORProQuestMathematicsTeacher索引

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ProQuestMicroMathTheCollegeMathematicsJournal全文JSTORProQuestScriptaMathematica1932-1973ProceedingsoftheEdinburghMathematicalSociety1894-StanleyRabinowitz,ProblemsandSolutionsfromTheMathematicalVisitor1877-1894,ISBN0-9626401-5-8,Softcover,256pp.(A)Mathematicalquestionsandsolutions,fromthe"Educationaltimes."

1863-1918Nouvellesannalesdemathématiques1842-1927尺規作圖A.S.Smogorzhevskii,TheRulerinGeometricalConstructionJuliusPetersen,MethodsandTheoriesfortheSolutionofProblemsofGeometricConstruction,reprintedbyChelseainthecollectionStringFiguresHildaP.Hudson,RulerandCompasses,reprintedbyChelseainthecollection“SquaringtheCircle”A.B.Kempe,Howtodrawastraightline;alectureonlinkage,reprintedbyChelseainthecollection“SquaringtheCircle”AleksandrKostovskii,GeometricConstructionswithCompassesOnly曲線E.H.Lockwood,ABookofCurvesW.H.Besant,RoulettesandGlissettesRobertC.Yates,AHandbookonCurvesandTheirPropertiesRobertC.Yates,GeometricalTools,amathematicalsketchandmodelbookG.Farin,