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1、小学数学解题策略的应用举隅(Theapplicationofmathematicalproblemsolvingstrategiesinprimaryschool)CollectedbyoneselfMistakesareunavoidableForreferenceonlyIncaseoferrorPleasecorrectme!ThankyouTheapplicationofmathematicalproblemsolvingstrategiesinprimaryschoolZhangDongmei,thefirstexperimentalprim
2、aryschoolofQidongSomemathematicalproblemsaresolvedItisoftennecessarytoapplysomespecialproblem-solvingstrategiestobreakthroughthedifficultiesSoastofindthekeytosolvingproblemsAndsolvetheproblemsmoothlyOne,fromthebeginningExample1inahexagonalsheetofpaper,thereare60pointsAtrianglewi
3、th60verticesand6verticesofthehexagonastheverticesHowmanycanyoucutatthemost?Ithought:if6verticesweholdis60pointsinsidethehexagonandhexagonThetotalperceptionistoocomplexnotknowhowtostartAndwestartthinkingagainInstead,wecangraduallyuncoverthemysteryinthesubjectIfthereareonly1points
4、intheregularhexagon6trianglescanbecut;thesecondpointsthatappearMustfallintooneofthetrianglesBecausethetrianglecanbedividedinto3trianglesThenumberoftrianglesis2morethanbefore,andsoonEveryadditionalpointThenumberoftriangleswillincreaseby2Sothereare60pointsinthehexagonAtmostyoucanc
5、ut6+59x2=124(a)triangleTwo,evenwiththeguessCase2fiveoldmenareofdifferentageTheoldestis6yearsolderthantheyoungestTheiraverageageisknowntobe85Whatistheageoftheoldestman?Ithought:accordingtotheproblemWefirstestimatetheoldestoldagein8790.Ifthemaximumis87yearsoldTheyoungestis81yearso
6、ldByageisnotthesameTheotherthreeweretheoldest,86,85and84,respectivelyButifsoTheaverageageoffiveislessthan85"Sotheoldestmustbeolderthan87Iftheoldestoldmanis89yearsoldTheyoungestis83yearsoldTheremaining3wereagedatleast84,85,and86Butthat'sthecaseTheaverageageoffivewasover85"Therefo
7、re,theoldestoldmanshouldbesmallerthan89yearsoldInthiscaseTheoldestoldmanshouldbe88Three,similarassociationExample3thetowelsinthebarbershopareforshampooYes,asshawlsAnewtowelIfyoushampooit?After30days,itiswornoff;ifitisusedasashawl80dayslater,theoldscrapInordertobeabletouseasmanyd
8、aysaspossibleIftheuseofacertainnumberofdayslate