2023學(xué)年完整公開課版14complextype

complextype2learningtasksComputesandmanipulatescomplextypes.3KnowledgeobjectivesMasteringtherepresentationofcomplexnumberMastertheattributesofcomplexnumbersandunderstandtherelevantmethods01CapabilityobjectivesAbilitytooperateoncomplexnumbersBeabletousecomplexnumbertosolvepracticalproblems02Learningobjectives4complexconceptThecomplexnumberiscomposedoftherealpartandtheimaginarypart.Thegeneralformisx+YJ,wherexistherealpartofthecomplexnumberandYJistheimaginarypartofthecomplexnumber.HereXandyarerealnumbers,andjisimaginaryunits.Complexnumberisaninstanceofcomplexclass,whichcanbedirectlyusedfornumericaloperation.5complexoperationThefouroperationsofcomplexnumberareasfollows:Additionrule:(a+BI)+(c+DI)=(a+C)+(B+D)I;Subtractionrule:(a+BI)-(c+DI)=(A-C)+(B-D)I;Multiplicationrule:(a+bi)*(c+DI)=(ACBD)+(BC+AD)IDivisionrule:(a+bi)/(c+DI)=[(AC+BD)/(C2+D2)]+[(BCAD)/(C2+D2)]I6complexProperties&functions*.realrealpart*.Imagvirtualpart*.Conjugate()conjugatecomplexConjugatecomplex:tworealpartsareequalandtheimaginarypartsareoppositetoeachother7complexnotice1.Thecomplexconsistsoftherealpartandtheimaginarypart2.Imaginarynumberscannotexistalone.Theyalwaysformacomplexnumbertogetherwitharealpartwithavalueof0.0.3.Syntaxforvirtualnumbers:real+imagj4.Therealpartandtheimaginarypartarefloating-pointnumbers5.TheimaginarypartmusthavesuffixJorj8complexexample9Operationdemonstration10SummaryofknowledgepointsTheconceptandrepresentati