elementary geometry for college students_1439047901_2010

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1、FormulasPLANEFIGURES:Kite:abP=2a+2bPPerimeter;CCircumference;AAread11##A=d1d2d2b2Triangle:aPabcc1ahA=bhCircle:2C=2prorC=pdA=2s(s-a)(s-b)(s-c),brA=pr2wheressemiperimeterEquilateralTriangle:P3ss2RegularPolygon(nsides):A=23P=n#s41sA=aPsa2Rectangle:P=2b+2hMISCELLANEOUSFO

2、RMULAS:AbhorAwhRightTriangle:bc2=a2+b2c1bA=abParallelogram:2P=2a+2baA=bhahPolygons(nsides):bSum(interiorangles)(n-2)#180°Sum(exteriorangles)360°n(n-3)Trapezoid:Number(ofdiagonals)2b1P=a+b1+c+b21cA=h(b1+b2)ah2RegularPolygon(nsides):ImeasureInteriorangle,EmeasureExteri

3、orangle,andCmeasureCentralangleb2(n-2)#180°I=EnI360°Square:ECnP4sAs2C=360°nsSector:¬mABRhombus:A/¬AB=*2pr360°dP4s1mAB¬s1A=*pr2A=#d1#d2B360°d22sSOLIDS(SPACEFIGURES):ANALYTICGEOMETRY:LLateralArea;T(orS)Total(Surface)Area;VVolumeyDistance:d(xx)2(yy)21021218Parallel

4、epiped(box):(x2,y2)Midpoint:6T=2/w+2/h+2wh(x,y)4x1+x2y1+y211M=a,bh2V=/wh22x–10–8–6–4–2246810y2-y1–2w–4Slope:m=,x1Zx2x2-x1–6–8ParallelLines:–10/

5、

6、/4m=m1212RightPrism:PerpendicularLines:L=hP/1/24m1#m2=-1T=L+2BhEquationsofaLine:V=BhSlope-Intercept:y=mx+bPoint-Slope:y-y1=m(x-x1

7、)General:Ax+By=CRegularPyramid:1L=/P2TRIGONOMETRY:h/2=a2+h2aT=L+BRightTriangle:1oppositeaV=Bhsinu==3cahypotenusecadjacentbcosu==bhypotenusecRightCircularCylinder:L=2prhoppositeatanu==T=2prh+2pr2adjacentbh2V=prhsin2u+cos2u=1rTriangle:RightCircularCone:1L=pr/A=bcsinaba2/2=r2

8、+h2h2sinasinbsingT=pr/+pr==cabcrV=1pr2h222c=a+b-2abcosg3or222a+b-ccos=Sphere:2ab2rS=4pr43V=pr3Miscellaneous:Euler’sEquation:VFE2ThispageintentionallyleftblankFifthEditionElementaryGeometryforCollegeStudentsDanielC.AlexanderParklandCollegeGeralynM.KoeberleinMahomet-Seym

9、ourHighSchoolAustralia•Brazil•Japan•Korea•Mexico•Singapore•Spain•UnitedKingdom•UnitedStatesElementaryGeometryforCollegeStudents,©2011,2007Brooks/Cole,CengageLearningFifthEditionALLRIGHTSRESERVED.NopartofthisworkcoveredbythecopyrightDanielC.AlexanderandGeralynM.Koeberleinhere

10、inmaybereproduced,transmitted,stored,orusedinanyformorbyAcquisitionsEditor: