欢迎来到天天文库
浏览记录
ID:12577202
大小:41.50 KB
页数:21页
时间:2018-07-17
《旋转在数学解题中发挥的重要作用(the important role of rotation in solving mathematical problems)》由会员上传分享,免费在线阅读,更多相关内容在教育资源-天天文库。
1、旋转在数学解题中发挥的重要作用(Theimportantroleofrotationinsolvingmathematicalproblems)DataworthhavingFromtheusualstudy,accumulationandsummaryWherethereisaproblem,theremustbesomePleasealsocriticizeandcorrectme!TheimportantroleofrotationinsolvingmathematicalproblemsDawuCo
2、untyhighschoolChenJieChenRuishopAbstract:rotationisakindoftransformationofplanegeometryItistocircleacertainfigureintheplane(thecenterofrotation)Rotateanangle(rotationangle)inacertaindirectionConstructanewgraphUsingtheshapeofarotatedfigureThetraitofnotchang
3、inginsizeSoastofindawaytosolveproblems[Keywords]arouseinterest,optimizeintegration,mastermethod,difficulttoeasyFirst,createscenariosStimulatestudents'interestinrotationManlivesontheearthTheearthalwaysmovesroundthesunandrotatesfromwesttoEastMakespring,summe
4、r,autumnandwinterclearallyearroundThetrains,planes,andshipsthatwetravelarealltyresofwheelsTherailsandpropellerskeptturningusroundtoourdestination;theclockhungontheblackboardintheclassroomThesecondhourandminutenon-stoprotationBringustoabettertomorrowWaitLif
5、eisfullofspinSpinninggivesuscouragetoliveRotationaddswisdomtoourproblemsolvingRotationgivesusagreatdealofpowertosolvedifficultproblemsDEG[1]casesofdeltaABCDeltaDEFtorotatearoundthefixedpointOpositionFigure1(1)whatisthecenterofrotation?Whatistheangleofrotat
6、ion?Howmanyrotationanglesdoyouhave?Whatkindofrelationshipdotheyhave?(2)whereisthepositionoftherotatingpointAandtherotatingpointBrespectively?(3)whatistherelationshipbetweenthelinesegmentOAandthelengthofOD?WhataboutOBandOF,OCandOE?(4)theABCaroundthepointOan
7、drotatedby90DEGIfyougetaGHKConnectAG,BH,CKHowmanyisoscelesrighttrianglesarethereinthepicture?(5)theABCOafterthe180degreerotationaroundafixedpointIfyougetaGHKThepositionrelationshipbetweentheABCvalueandGHKis.SABCSDeltaDeltaDeltaGHK[case2]thefollowingfourfig
8、uresareequilateraltrianglesSquareFive-pointedstarRegularhexagonAfterpointingouthowmanydegreestheyrotateatleast,theycancoincidewiththemselvesABCDFigure2Thusweobtainthepropertiesofthegraphbeforeandaftertherotat
此文档下载收益归作者所有