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1、MasterMath:Pre-CalculusandGeometryByDebraRossCopyright?1996byDebraAnneRossAllrightsreservedunderthePan-AmericanandInternationalCopyrightConventions.Thisbookmaynotbereproduced,inwholeorinpart,inanyformorbyanymeanselectronicormechanical,includingphotoco
2、pying,recording,orbyanyinformationstorageandretrievalsystemnowknownorhereafterinvented,withoutwrittenpermissionfromthepublisher,TheCareerPress.MASTERMATH:PRE-CALCULUSANDGEOMETRYISBN1-56414-218-3CoverdesignbyTheVisualGroupPrintedintheU.S.A.byBook-martP
3、ressLibraryofCongressCataloging-in-PublicationDataRoss,DebraAnne,1958-Mastermath:pre-calculusandgeometry/byDebraAnneRoss.p.cm.Includesindex.ISBN1-56414-218-3(pbk.)1.Geometry.2.Trigonometry.I.Title.QA445.R5851996515'.1--dc2096-22994CIPAcknowledgmentsIa
4、mindebtedtoDr.MelanieMcNeil,ProfessorofChemicalEngineeringatSanJoseStateUniversity,forreviewingthistextforaccuracy.TableofContentsIntroduction1Chapter1Geometry31.1.LinesandAngles41.2.Polygons101.3.Triangles131.4.Quadrilaterals(FourSidedPolygons)181.5.
5、Circles221.6.PerimeterandAreaofPlanarTwo-DimensionalShapes291.7.VolumeandSurfaceAreaofThree-DimensionalObjects341.8.Vectors40Chapter2Trigonometry432.1.Introduction432.2.GeneralTrigonometricFunctions442.3.Addition,SubtractionandMultiplicationofTwoAngle
6、s522.4.ObliqueTriangles532.5.GraphsofCosine,Sine,Tangent,Secant,CosecantandCotangent542.6.RelationshipBetweenTrigonometricandExponentialFunctions582.7.HyperbolicFunctions60Chapter3SetsandFunctions623.1.Sets623.2.Functions65Chapter4Sequences,Progressio
7、nsandSeries704.1.Sequences704.2.ArithmeticProgressions714.3.GeometricProgressions734.4.Series744.5.InfiniteSeries:ConvergenceandDivergence774.6.TestsforConvergenceofInfiniteSeries804.7.ThePowerSeries864.8.ExpandingFunctionsintoSeries884.9.TheBinomialE
8、xpansion92Chapter5Limits945.1.IntroductiontoLimits945.2.LimitsandContinuity98Chapter6IntroductiontotheDerivative1046.1.Definition1056.2.EvaluatingDerivatives1106.3.DifferentiatingMultivariableFunctions1136.4.DifferentiatingPolynomials1146.5.De