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1、数学-重要数学思想与方法（Mathematics-importantmathematicalideasandmethods）First,thecombinationoffiguresandshapesThecombinationofthinkingisoneofthefourimportantmethodsofthinkinginmiddleschoolmathematics,thealgebraicproblemofnature,sometimeswestudythegeometryoftheprob
2、lemcouldbesolved(tohelpshape);orforgeometricproblemsbasedonthenumberofrelationswiththecorrespondinggraphicstosolvetheproblems(innumberthismethodhelpstoshape),tosolvetheproblemthatcombinationofnumberandshape.Thepurposeofthecombinationof1.figuresandseveral
3、figuresistomakeuseofthevividnessandintuitionofform,togiveplaytothestandardizationandstrictnessofthethinking,andtocomplementeachother,andtostrengthenthestrengthsandcircumventweaknesses.2.Engelsdefinesmathematicsinthisway:"mathematicsisthescienceofquantity
4、relationsandspatialformsoftherealworld."".Thatistosay,thecombinationofnumberandshapeistheessentialfeatureofmathematics.Everythingintheuniverseisnotaharmoniousunityofnumbersandshapes.Therefore,thethoughtofcombiningnumbersandshapesinmathematicslearningfull
5、ygraspstheessenceandsoulofmathematics.Theessenceofthecombinationof3.numbersisthatthenatureofgeometricfigurereflectsthequantitativerelation,andthequantityrelationdecidesthenatureofgeometricfigure.4.Mr.HuaLuogengoncepointedout:"thenumberofmissinglessintuit
6、ive,ashapetothedetails;thecombinationofavarietyofgoodseparation,separationofallnon."Thecombinationofapplicationasamathematicalwayofthinkingcanbedividedintotwokinds:somepropertiesofshapetoclarifyorbythenumberofaccurateandintuitivegeometricshapeorwiththehe
7、lpofsometoclarifytherelationshipbetweenthenumberof.5.,thenumberasameansofcombinationoffigures,mainlyreflectedintheanalyticgeometry,thecollegeentranceexaminationquestionsovertheyearsonthisaspectoftheexamination(thatis,theuseofalgebraicmethodstostudygeomet
8、ricissues).Andfigureasameansofcombinationofnumbersinthecollegeentranceexaminationobjectivereflectedintheproblem.Weshouldgraspthefollowing6.points:theproblemsolvingmethodcombinedwithshape(1)researchonthedistance,angleorarea
