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电大《复变函数》作业答案参考小抄第1章复数与复变函数
一、单项选择题
1、C
2、D
3、D
4、C
二、填空题
1、2xy
23、连通的开集
4、
三、计算题
1、解令
2、解
3、解则
4、解
四、证明题
1、证明则
2、证明第2章解析函数
一、单项选择题
1、D
2、D
3、C
4、C
二、填空题
1、不解析
2、及其领域内可导
3、
4、
三、计算题
1、解
2、解
3、见课本79页例
2.
84、解依C—R条件
四、证明题
1、证明
2、证明第3章初等函数
一、单项选择题
1、A
2、D
3、B
4、A
二、填空题
1、
2、
3、
4、
三、计算题
1、解
2、解
3、解
4、解
四、证明题
1、证明所以命题得证
2、证明命题得证第4章解析函数的积分理论
一、单项选择题
1、D
2、A
3、B
4、A
二、填空题
1、
2、ML
3、
74、
三、计算题
1、解积分路径的参数方程为
2、解:
3、解.
4、解、
四、证明题
1、证明
2.证设由圆周围成的区域为,易知,为有界闭区域.因函数在内不是常数,在内解析,且在有界闭区域上连续,所以,由最大模原理有这表明在内取不到最大值,故它只能在的边界上取到最大值,即在圆周上必存在一点,使得,且有故结论得证.第5章解析函数的幂级数表示
一、单项选择题
1、B
2、B
3、D
4、C二-填空题
1、
2、一
3、
04、
一三、计算题
四、证明题第6章解析函数的罗朗级数表示
一、单项选择题
1、D
2、C
3、D
4、B
二、填空题
1、
2、
3、一
4、本性
三、计算题
四、证明题第7章残数及其应用
1、单项选择题
1、B
2、A
3、A
4、C
二、填空题
1、
23、
44、0
三、计算题
四、证明题第8章
一、单项选择题
1、C
2、D
3、D
4、D
二、填空题
1、单叶、保角
2、解析、不为零
3、
4、
三、计算题
四、证明题Visa-freepolicybringsChengdubiztourismboost.MakingnationalheadlinesseveraltimesChengdus72-hourvisa-freepolicyhasattractedwideattentionfrombothChineseandforeignexpertsandbusinessmensinceittookeffectonSept1lastyear.Theprogrampermitscitizensfrom51countriesandregionsincludingtheUnitedStatesAustraliaCanadaandJapanwhohavevalidvisasandflightticketstoathirdcountrytospendthreedaysinthecity.ThecapitalofSichuanprovinceisthefirstcityinthewesternregionofChinatoofferforeigntouristsathree-dayvisaandthefourthnationwidetoadoptthepolicyfollowingShanghaiBeijingandGuangzhou.LiZhiyongdeputydeanofthetourisminstituteatSichuanUniversitysaidthemovecontributestoalargeincreaseinthenumberofoverseastouristsandraisesthecityslevelofinternationalization.ThepolicywillalsobringdirecteconomicrevenueLisaid.Chengduhasmanyculturallegaciesandisalsoaparadiseforpandaloverswiththeworldslargestbreedingandresearchcenter.Threedaysarelongenoughforforeignvisitorstovisitthoseiconictouristspotshenoted.ThecityishometotheremainsoftheJinshacivilizationthatdatesbackmorethan3000yearsaswellastheQingchengMountainsandtheDujiangyanirrigationsystem.QingchenghaslongbeenrecognizedasthebirthplaceofTaoismChinasancientindigenousreligionwhileDujiangyanisconsideredtobetheoldestfunctioningwater-controlprojectintheworld.Chengdurankedthirdintouristfacilitiesmanagementandservicesamong60Chinesecitiesinacustomersatisfactionsurveyreleasedlastyear.ButLiaddedthateffortsarestillneededtodevelopmoretourismproductsimproveEnglishservicesandprovideaccuratetranslationoftrafficsignsandscenicbillboards.ZhaoYunchairwomanofBritishChamberofCommerceSouthwestChinatoldChinaDailythathiscolleaguesfoundthepolicyveryconvenient.ABritishclientonceflewhereandstayedforjustonedaytocheckherorderedgoodsshesaid.ZhaowasborninShanxiprovincebutshehaslivedinChengduformorethan10years.Mylifewaslikearunningracemovingfromplacetoplace.IalsolivedinBeijingandShanghaibeforeshesaid.ButChengduisaplacethatyouneverwanttoleaveoncesettlingdown.Itisnowmysecondhometownshesaid.Iftheenvironmentisfurtherimprovedthecitywillattractmorepeopletovisitandlivewiththe72-hourvisa-freepolicyandcompellingconditionsintransportationcultureclimateandcuisinehesaid.Foreignersalsogavepositivefeedbackonthepolicy.AspokesmanfromDellIncsaidthecompanyhasaglobalhubofoperationinChengdusothethree-dayvisahasanimmediateandpositiveinfluenceonthecompanysbusinessdevelopment.RudyButtignolpresidentofthepublicbroadcastingcompanyinBritishColumbiaCanadasaidhisworkrequiresfrequenttraveltoChengduandthepolicymakesthetripseasier.Datafromthecityspublicsecuritybureaushowssome100foreignvisitorsenjoyedthe72-hourpolicybytheendofMarchmostofthemfromtheUnitedStatestheUnitedKingdomandGermany.Chengdualsoreportedrobustgrowthinitsoveralltouristindustrylastyear.Officialstatisticsshowthatitreceivedsome150milliontouristslastyearanincreaseof28percentfrom
2012.Around
1.7millioncamefromabroadanincreaseof12percent.Totalrevenuefromtourismsurpassed133billionyuan$
21.7billion.DuringhisvisittoKazakhstaninSeptemberChinesePresidentXiJinpingproposedthatChinaandCentralAsiajoinhandstobuildaSilkRoadeconomicbelttoboostcooperation.TheideahasbeenwidelyechoedinCentralAsiancountriesbecominganencouragingblueprintforChineseareasalongtheSilkRoadthathaslinkedAsiaandEuropeformorethan2000years.InthenextthreeweeksChinaDailyreporterswilltravelthroughthebeltinChinaandinKazakhstanUzbekistanandTurkey.Theywillshowtheprogressandexpectationsofthecountriesbusinessesandpeoplesontheroute.Shaanxi-thestartoftheancientSilkRoad-haspositioneditselfasthenewstartingpointforthedevelopmentoftheSilkRoadEconomicBeltwhichwillstrengthenChinascooperationwithCentralAsiancountriesaseniorofficialsaid.ShaanxiGovernorLouQinjiansaidtheprovinceisfreshrichanduniqueasitwaswhenitanchoredoneendoftheancientSilkRoad.ItisthebestoptionforaccommodatingindustrialtransfersfromEastChinaortheworldatlargehesaidonWednesdayinXian.Louheldajointinterviewwith27mediaincludingChinaDailythefirstinaseriesofinterviewsentitledChineseMediaAlongtheSilkRoad.TheinterviewswillbeinShaanxiandGansuprovincesandtheXinjiangUygurautonomousregionaswellasKazakhstanUzbekistanandTurkey.ThemediagroupheldthefirstinterviewonWednesdaymorninginXianthestartingpointoftheancientSilkRoadatradechannelestablishedmorethan2000yearsagolinkingChinaCentralAsiaandEurope.。