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1、【2006高考试题】一、选择题(共11题)2.(北京卷)在复平面内,复数对应的点位于(A)第一象限(B)第二象限(C)第三象限(D)第四象限解:故选D3.(福建卷)设a、b、c、d∈R,则复数(a+bi)(c+di)为实数的充要条件是A.ad-bc=0B.ac-bd=0C.ac+bd=0D.ad+bc=04.(广东卷)若复数满足方程,则A.B.C.D.解析:由,故选D.5.(江西卷)已知复数z满足(+3i)z=3i,则z=()A.B.C.D.解:故选D。6.(全国卷I)如果复数是实数,则实数A.B.C.D.解析:复数=(m2-m)+(1+m3)i是实数,∴1+m3=0,m=-1,选B.ot
2、herstaffoftheCentre.Duringthewar,ZhuwastransferredbacktoJiangxi,andDirectorofthenewOfficeinJingdezhen,JiangxiCommitteeSecretary.Startingin1939servedasrecorderoftheWestNorthOrganization,SecretaryoftheSpecialCommitteeAfterthevictoryofthelongMarch,hehasbeentheNorthwestOfficeoftheFederationofStateente
3、rprisesMinister,ShenmufuguSARmissions,DirectorofNingxiaCountypartyCommitteeSecretaryandrecorderoftheCountypartyCommitteeSecretary,Ministersand8.(陕西卷)复数等于()A.1-iB.1+iC.-1+iD.-1-i解析:复数=,选C.11.(浙江卷)已知(A)1+2i(B)1-2i(C)2+i(D)2-i【考点分析】本题考查复数的运算及性质,基础题。解析:,由、是实数,得∴,故选择C。二、填空题(共4题)12.(湖北卷)设为实数,且,则。解:,othe
4、rstaffoftheCentre.Duringthewar,ZhuwastransferredbacktoJiangxi,andDirectorofthenewOfficeinJingdezhen,JiangxiCommitteeSecretary.Startingin1939servedasrecorderoftheWestNorthOrganization,SecretaryoftheSpecialCommitteeAfterthevictoryofthelongMarch,hehasbeentheNorthwestOfficeoftheFederationofStateenterp
5、risesMinister,ShenmufuguSARmissions,DirectorofNingxiaCountypartyCommitteeSecretaryandrecorderoftheCountypartyCommitteeSecretary,Ministersand而所以,解得x=-1,y=5,所以x+y=4。13.(上海卷)若复数同时满足-=2,=(为虚数单位),则=.解:已知;14.(上海卷)若复数满足(为虚数单位),其中则。【2005高考试题】1(广东卷)若,其中、,使虚数单位,则(D)(A)0(B)2(C)(D)52.(北京卷)若,,且为纯虚数,则实数a的值为.3.(
6、福建卷)复数的共轭复数是(B)A.B.C.D.4.(湖北卷)(C)A.B.C.D.5.(湖南卷)复数z=i+i2+i3+i4的值是 (B) A.-1 B.0 C.1 D.i6.(辽宁卷)复数在复平面内,z所对应的点在(B)otherstaffoftheCentre.Duringthewar,ZhuwastransferredbacktoJiangxi,andDirectorofthenewOfficeinJingdezhen,JiangxiCommitteeSecretary.Startingin1939servedasrecorderoftheWestNorthOrganizati
7、on,SecretaryoftheSpecialCommitteeAfterthevictoryofthelongMarch,hehasbeentheNorthwestOfficeoftheFederationofStateenterprisesMinister,ShenmufuguSARmissions,DirectorofNingxiaCountypartyCommitteeSecretaryandrecordero