亞太數(shù)學(xué)奧林匹亞研習(xí)營專題探討-幾何

亞太數(shù)學(xué)奧林匹亞研習(xí)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(lán)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(xiàn)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(xué)H.S.M.CoxeterandS.L.Greitzer:GeometryRevisited陳維桓譯:幾何學(xué)的新探索I.M.YaglomIsaakMoiseevichYaglom,Geometrictransformations.TranslatedfromtheRussianbyAllenShieldsIsaakMoiseevichYaglom,GeometrictransformationsII.TranslatedfromtheRussianbyAllenShieldsIsaakMoiseevichYaglom,GeometrictransformationsIII.TranslatedfromtheRussianbyAbeShenitzer經(jīng)典HeinrichDorrie,100GreatProblemsofElementaryMathematics[A]介紹了100個(gè)初等數(shù)學(xué)的問題，包括它們的歷史與解答。這100個(gè)問題包括26個(gè)算術(shù)問題、15個(gè)測面問題、25個(gè)經(jīng)典的圓錐曲線和擺線問題、10個(gè)求積問題、12個(gè)航海和天文問題以及12個(gè)最大最小問題。本書適合所有對數(shù)學(xué)感興趣的讀者閱讀?！仓形木W(wǎng)頁〕凡異：一百個(gè)初等數(shù)學(xué)問題歷史和解答難得的作品GeorgeS.Carr,FormulasandTheoremsinPureMathematics巖田至康,幾何學(xué)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(lián)青年數(shù)學(xué)科普叢書(7).作者書名趣味幾何

[簡介]蔣聲幾何變換張澄清托勒密幾何定理的運(yùn)用嚴(yán)鎮(zhèn)軍從正五邊形談起黃家禮幾何明珠趣味幾何

單墫平面幾何中的小花

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(yán)鎮(zhèn)軍從勾股定理談起戴中器譯趣味幾何學(xué)左宗明世界數(shù)學(xué)名題選講徐松柏賈慶祥侯秀萊等漫話定值(ISBN7-5347-1190-8)孔慶思平面幾何證題研究與指導(dǎo)張運(yùn)籌高中學(xué)生數(shù)學(xué)課外閱讀系列--三角恒等式及應(yīng)用常庚哲神奇的複數(shù)─如何利用複數(shù)解中學(xué)數(shù)學(xué)難題劉毅梅涅勞斯定理與塞瓦定理黃宣國數(shù)學(xué)奧林匹克大集1994李文漢讓你開竅的數(shù)學(xué)--趣味題與簡捷解王樹禾生活與科學(xué)文庫--數(shù)學(xué)聊齋李炯生、黃國勳、戴牧民、丁有炳國際數(shù)學(xué)競賽:100個(gè)重要定理和競賽數(shù)學(xué)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(shù)學(xué)家的眼光張景中,數(shù)學(xué)雜談張景中,數(shù)學(xué)與哲學(xué)張景中、曹培生,從數(shù)學(xué)教育到教育數(shù)學(xué)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(guān)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(jié)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(guī)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,