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ID:13528953
大小:41.50 KB
页数:12页
时间:2018-07-23
《运用几何变换的特征创造性解题(the characteristics of creative problem solving using geometric transform)》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、运用几何变换的特征创造性解题(Thecharacteristicsofcreativeproblemsolvingusinggeometrictransform)WorthhavingdataIsfromtheusualaccumulationoflearningsummaryTherearecertainlysomelocalproblemsAlsopleasecriticism!ThecharacteristicsofcreativeproblemsolvingusinggeometrictransformJiangsuProvince,TaizhouCit
2、y,KowloonexperimentalschoolGuGuanglin(225312)Geometrictransformationinjuniorhighschoolmathematicsgenerallyreferstotranslation,symmetry(fold)androtation."Mathematicscurriculumstandards"inthecurriculumgoalhasclearlypointedoutthat"theprocessoftransformation,basicnature,positiontoexplore
3、therelationshipbetweenobjectsandfigures"WeknowTheshapeandsizeofthegraphtransformationdoesnotchangethegraphicsOnlychangethegraphicspositionThecharacteristicsofproblemsolvingcanmakefulluseofgraphicstransformationThegraphicspositionchangeInordertooptimizethegraphstructureFurtherintegrat
4、ionofgraphics(problem)informationpurposesThecomplexproblemcanbecreativelysolved.Figure1casesDeltaABCADisthecenterlineDE,DF/ADB/ADCandwereequallyAB,AC,F.inEtoverify:BE+CF>EF.Asolutionof(symmetric)asshowninFigure1BytheknownconditionsThedeltaBDE,DeltaCDFrespectivelybyDE,DFaxisoffoldDelt
5、aMDE,DeltaMDFtransformEasyME=BEMF=CFThesethreelinesintoatriangleTheproblemsmoothlydoneoreasilysolved.Methodtwo(rotation)asshowninFigure2ThedeltaFDC180degreerotationaroundthepointDtransformintodeltaPDBPD=DFLinkPEByDEandDFastheanglebisectorTheEDgroupofPFThusEP=EFThisthreelineistransfor
6、medtodeltaBPEThepropositionofCertifcate.Methodthree(translation)asshowninFigure2BBP"CFFDlineinPEasyBPD=DeltaDeltaCFDThisCF=BPSotheconversionofthreelinestodeltaBPEthroughtranslationThepropositionofCertifcate.Comment:geometrictransformisapowerfultoolforproving.Thatlineismainlythroughth
7、eunequalrelationshipbetweentherelationshipbetweenthethreesidesofatriangle,whenthelinetothescatteredNotusingtherelationshipbetweenthethreesidesofatriangle.AccordingtothepropertiesoftheinvolvedinthegraphicsTothe(orpartthereof)asageometrictransformationSomeproblemsinrelationtoashiftinth
8、etriangleThi
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