




版权说明:本文档由用户提供并上传,收益归属内容提供方,若内容存在侵权,请进行举报或认领
文档简介
migraine
偏头痛
ChongqingUniversityofMedicalSciencemigraine
偏头1
Migraineismanifestedbyheadachethatisarecurrence,usuallyunilateralandfrequently
pulsatile
inquality
搏动性;itisoftenassociatedwithnausea,vomiting,photophobia畏光,phonophobia惧声andlassitude乏力.Visualorotherneurologicauras神经学先兆
occurinabout10%ofpatients.
Theonsetisearlyinlifeapproximately25%beginningduringthefirstdecade,55%by20yearsofage,morethan90%beforeage40.
Migraineismanifestedby2A.Causeandpathogenesis
Therealcausesandthe
pathogenesisandpathophysiologiccourse
ofmigraineisunknown.
1.Certainfoods:
tyramine酪胺-containingcheeses,meat,suchashotdogsorbacon,withnitrite亚硝酸preservatives,chocolatecontainingbutnotchocolatealone.Foodadditives:monosodiumglutamate谷氨酸一钠;
Fasting禁食;Emotion情绪;Menses月经;
Drugs:especiallyoralcontraceptiveagents;vasodilators(nitriglycerin硝酸甘油)Brightslightsmayalsotriggerorprecipitateattacks.A.Causeandpathogenesis3
2.Genetics:About60%patientsofmigrainehave
families.Threegeneticlociforfamilialhemiplegic
migraine(偏瘫型)havebeenidentified3.Endocrinefactor内分泌异常
Gender:women>men(2/3to3/4ofcasesoccurinwomen);Headachemostlyoccursbeforeormenacme月经期
inwomen,andtheheadachebecomesreductionorstoppinginpregnancyandaftermenopause绝经.Themigrainealsostopsinmenofafterclimacterium更年期.
2.Genetics:About60%p4
4.vasomotorandautonomic
血管运动和自律神经
Intracranialvasoconstrictionandextracranialvasodilatationhavelongbeenheldtobetherespectivecausesoftheauraandheadachephasesofmigraine.ButthestudyofCBF脑血流
can’tconfirm.5.spreadingdepression扩布性抑制
MorerecentstudiesofrCBF局部脑血流
duringmigraineattackshavedemonstratedareductioninregionalflow,whichbeginsintheoccipitalregionandthentowardswith1cm/svelocity
duringtheauraphase.
4.vasomotorandautono5Migraine偏头痛中英双语版1课件6
6.Neurotransmitter(神经递质)
Serotonin血清素
inplateletsdecreases
andurinaryserotoninincreasesduringtheacutephaseofamigraineattack.Depletionofserotoninbyreserpine利血平mayprecipitatemigraineanddecreasedbyserotoninantagonists(sumatriptan,英明格)6.Neurotransmitter(7B.Theclassificationofmigraine
1.classicmigraine
(典型偏头痛)
2.common
migraine
(普通型偏头痛)
3.specialtype:
a.ophthalmoplegicM.
(眼肌麻痹型偏头痛)
b.hemiplegicM.
(偏瘫型偏头痛)
c.
basilarartery
M.
(基底动脉型偏头痛)
d.
late-lifeM.(晚发性偏头痛)
e.migraineEquivalents
(偏头痛等值症):
B.Theclassificationofmigr8
C.Clinicfigures
临床表现
1.MigrainewithAura
(Classicmigraine典型偏头痛)
1)
Auras(先兆):
visualalteration,particularlyhemianopic
(偏盲)
fielddefects
(视野缺损)andscotomas(黑朦),
hemiparansthesia
(半身麻木)。
2)Headache:
50%ofpatientsexperiencenomorethanonceattackperweek,thedurationofepisodesisgreaterthan2hoursandlessthan1dayinmostpatients.Usuallyunilateralandfrequentlypulsatile
inquality;Althoughhemicranialpainisahallmark标志
ofclassicmigraine,headachecanalsobebifrontal双前额,lesscommonlylocalizedtotheoccipitalorvertex头顶
oftheSkull.
9
3)companysymptoms伴随症状:
Thenausea(恶心),vomiting(呕吐),photophobia(畏光),phonophobia(惧声),irritability(激惹),andlassitude
(倦怠)arecommon.Uncommonly,migraineareassociatedwithfrankneurologicdeficits明显神经学缺陷
thataccompanyorpersistbeyondresolutionofthepainphase.ThoseMayincludehemiparesis,hemisensoryloss偏身感觉丧失,speech
dysfunction语言功能障碍,or
visualdisturbance视觉紊乱.Samepatientshavevertigo眩晕,ataxia共济失调,oralteredconsciousness意识.3)companysymptoms伴随症状10
2.MigrainewithoutAura
(commonmig.)a.Thisisthemostfrequenttypeofmigraine(over80%).Thesymptomsandsignsaresimilaritytheclassicmigraine,butlackstheaura.
b.Headache:
bilateral(orunilateral),periorbital
achingorthrobbinginquality;longertimes;oftenoccursonweekendandholidays。
Anusefulbedsidetestforbothcommonandclassicmigraineisreducingheadacheseveritybycompressingtheipsilateralcarotidorsuperficialtemporalartery.2.MigrainewithoutAur11
3.specialtype:
a.ophthalmoplegicM.
(眼肌麻痹型偏头痛)
Duringor
aftermigraineattackoccur
ocularnerveparalysis,ptosis,pupildilation,ets.andpersistshoursormonths.b.hemiplegicM.
(偏瘫型偏头痛)
withhemiplegia;last10m.~days~wk.;children,lessinadult.
c.basilararterymigraine(基底动脉型偏头痛)
mostcommoninchildrenandyouthfulwomen;visualalteration:fielddefects
andscotomas,
ataxia,vertigo,tinnitus耳鸣,diplopia复视,nystagmus眼震,dysarthria构音障碍,bilaterallimbsnumbandweak,impairmentofrecognizeandconsciousness,andnausea,vomiting,ets.3.specialtype:12
d.migraineEquivalents
(偏头痛等值症):
abdominalpain腹痛,thorax,pelvis骨盆
andlimbspain,boutsfever周期性发热,attacksoftachycardia心动过速,benignparoxysmalvertigo良性发作性眩晕,cyclicedema,andsoon.
episodic,recurrence,excludedfromothersystemicdiseasesbyhistoryandexaminations.
13D.Diagnosisofmigraine
AccordingtotheInternationalassociateofheadacherecomm-endedaprogrammein1988,thediagnosisofmigrainewillbeinkeepingwithbelowcriterion.
D.Diagnosisofmigraine14a.Migrainewithaura1.Have2subjectsofbelow,breakout2atleast;2.Havebelowcharacteristicatleast3subjects:
1)Morethan1timeauraoffunctionaldisturbanceinfocalcortexorbrainstem2)Anauraatleastgradualdevelopmentandpersistmorethan4min.,orhave2auras;
3)Theaurapersistslessthan60min.;4)Thereisnotanintervaltimebetweentheauraandheadache;
3.
Haveoneofbelowatleast:
1)Noevidenceoforganicdiseasesbyhistoryandexamination;
2)Apossibleoforganicdiseasesbyhistoryandexamination,butwasdenybytest;
3)Althoughhavesomeorganicdiseases,butthe1stmigraineattackhavenotrelationwithit.
a.Migrainewithaura1.Have15
典型(有先兆)偏头痛诊断标准
1.符合以下2项,发作至少两次;
2.有以下特征至少3项:1)有局限性脑皮质或/和脑干功能障碍的大于1次以上的先兆;
2)至少有一个先兆症状逐渐发展、持续4分钟以上,或先后有两个以上的先兆;
3)先兆症状持续的时间小于60分钟;
4)先兆症状与头痛间无间歇期。
3.
至少有下列之一:
1)病史和体检不提示有器质性疾病证据;
2)病史和体检提示有某种器质性疾病可能,但经检查被否定;
3)虽有某种器质性疾病,但首次偏头痛发作与该疾病无密切关系。典型(有先兆)偏头痛诊断标准16
b.Migrainewithoutaura
1.Have2-4subjectsofbelow,breakoutmorethan
5timesatleast
;2.
Ifnottreat,itcontinues4-72h.aseizure,;3.Havebelowcharacteristicatleast2subjects:1)unilateral;2)pulsatile(throbbing)
;
3)middle-seriousdegree,dailylifelimited;4)Headacheseriousafteract
;
4.Haveoneofbelow:1)nausea&vomiting;2)photophobia,phonophobia;
5.Withoutotherknownsimilardiseases,andexcludeotherdiseasesofthebody.b.Migrainewithouta17
普通型(无先兆)偏头痛诊断标准
1.符合下述2-4项,发作至少5次以上;2.如果不治疗,每次发作持续4-72小时;3.有以下特征至少两项:1)单侧型;2)搏动型;3)中-重度头痛,日常活动受限;4)活动后头痛加重;
4.发作期间有下列之一:1)恶心和呕吐;2)畏光和惧声;
5.无其他已知的类似疾病:病史和躯体的其他方面正常。Migraine偏头痛中英双语版1课件18
C.Differencediagnosis:
1.clusterheadache(丛集性头痛)
2.tension-typeheadache(TTH,紧张型头痛)
3.othervascularpain(其他血管性头痛)
4.Painfulophthalmoplegia(痛性眼肌麻痹)
5.carotidynia(颈动脉痛)C.Differencediagnosis19
1)Clusterheadache
(丛集性头痛)
men>women;(4~5:1)
20-50yr.;recurrent;severalormanytimesdailyforseveraldaysorweekes;Prodromes先兆
areuncommon,Ictal发作
andstopsuddenly;periorbitalstrongpainwithcongestionoftheconjunctivae,lacrimation流泪,occasionalptosis上睑下垂
oftheeyelidsandsweating;1)Clusterheadache(丛集性头20Migraine偏头痛中英双语版1课件21
2)Tension-typeheadache
紧张型头痛
Tension-typeheadacheisachronicdisorderthatmostpatientsbeginsafterage20.Frequent(oftendaily)attacks,nonthrobb-ing,bilateralocciptalorfront,evenallheadpain,Sometimeslikenedtoa
press,tightbandaroundthehead,ictal
orpersistmonthsoryears.
Notassociatedwithnausea,vomiting,orprodromalvisualdisturbance.
Manypatientshavesleepdisorders(insomnia失眠,
alotofdreams多梦
),anxious,depressionandnervous神经质.
2)Tension-typeheadache22Migraine偏头痛中英双语版1课件23Migraine偏头痛中英双语版1课件24
E.Treatment
偏头痛的治疗
Theaimoftreatmentisstoppingandcontrollingheadachequickly.
keepquietandstatedarkenroom.1.
Acutetreatment
发作期治疗mild-middledegree:Itmayrespondtosimpleanalgesics止痛药.Acetaminophen(乙酰氨基酚):0.5-1.0g,PO;
Aspirin(阿司匹林):0.6-1.0g,PO;
Naproxen(萘普生):0.5-0.75mg,PO
Indomethacin(吲哚美辛):25mgPo,tid
Flunarizine
(氟桂利嗪,Sibelium西比灵):
5-10mg,qnE.T25Seriouslyill(inseverecaseswithvomiting,nauseafrequently)subcutaneous,nosal,intravenousorintramuscularisusedfordrugs.Dihydroergotaminemesylate(酒石酸二氢麦角胺):
0.25-1.0mg,im.oriv.
Ergotamine(麦角胺):0.6-1.0mg,takeorally
or
2mgsublingualorbyrectaSumatriptam(英明格):25-50mg,takeorally(the5-HTagonist)
or
6mgsubcutaneousinjectionPethidine(哌替啶):50-150mg,im.Chlorpromazine(氯丙嗪):10mg,intravenousinjectionCodeine(可待因):
15-60mg,PO
Whengivingthedrugsyouhavetotelltheclinicalsideeffectsforpatient.Seriouslyill(inseverecase262.
Prophylactictreatment
预防性治疗
PTisindicatedforpatientswhohavefrequentattacks–especiallymorethanonceaweek,ets.Propranolol(普萘洛尔(心得安):-receptorblocker
10-40mg,bid-qid/d;Flunarizine(氟桂利嗪;Sibelium西比灵,nicardepine
尼卡的平):Calciumchannelantagonists5-10mg,qnCyproheptadine(赛庚啶):
0.5-4mg,bid-qid/d;
Valproate(丙戊酸):
0.2g,tid/d;Fluoxetine(氟西汀)Topiramate(托吡酯)Naproxen(萘普生)Pizptifen(苯噻啶):0.5-3mg/d2.Prophylactictreatment27提问与解答环节QuestionsAndAnswers提问与解答环节28谢谢聆听·学习就是为了达到一定目的而努力去干,是为一个目标去战胜各种困难的过程,这个过程会充满压力、痛苦和挫折LearningIsToAchieveACertainGoalAndWorkHard,IsAProcessToOvercomeVariousDifficultiesForAGoal谢谢聆听LearningIsToAchieveAC29migraine
偏头痛
ChongqingUniversityofMedicalSciencemigraine
偏头30
Migraineismanifestedbyheadachethatisarecurrence,usuallyunilateralandfrequently
pulsatile
inquality
搏动性;itisoftenassociatedwithnausea,vomiting,photophobia畏光,phonophobia惧声andlassitude乏力.Visualorotherneurologicauras神经学先兆
occurinabout10%ofpatients.
Theonsetisearlyinlifeapproximately25%beginningduringthefirstdecade,55%by20yearsofage,morethan90%beforeage40.
Migraineismanifestedby31A.Causeandpathogenesis
Therealcausesandthe
pathogenesisandpathophysiologiccourse
ofmigraineisunknown.
1.Certainfoods:
tyramine酪胺-containingcheeses,meat,suchashotdogsorbacon,withnitrite亚硝酸preservatives,chocolatecontainingbutnotchocolatealone.Foodadditives:monosodiumglutamate谷氨酸一钠;
Fasting禁食;Emotion情绪;Menses月经;
Drugs:especiallyoralcontraceptiveagents;vasodilators(nitriglycerin硝酸甘油)Brightslightsmayalsotriggerorprecipitateattacks.A.Causeandpathogenesis32
2.Genetics:About60%patientsofmigrainehave
families.Threegeneticlociforfamilialhemiplegic
migraine(偏瘫型)havebeenidentified3.Endocrinefactor内分泌异常
Gender:women>men(2/3to3/4ofcasesoccurinwomen);Headachemostlyoccursbeforeormenacme月经期
inwomen,andtheheadachebecomesreductionorstoppinginpregnancyandaftermenopause绝经.Themigrainealsostopsinmenofafterclimacterium更年期.
2.Genetics:About60%p33
4.vasomotorandautonomic
血管运动和自律神经
Intracranialvasoconstrictionandextracranialvasodilatationhavelongbeenheldtobetherespectivecausesoftheauraandheadachephasesofmigraine.ButthestudyofCBF脑血流
can’tconfirm.5.spreadingdepression扩布性抑制
MorerecentstudiesofrCBF局部脑血流
duringmigraineattackshavedemonstratedareductioninregionalflow,whichbeginsintheoccipitalregionandthentowardswith1cm/svelocity
duringtheauraphase.
4.vasomotorandautono34Migraine偏头痛中英双语版1课件35
6.Neurotransmitter(神经递质)
Serotonin血清素
inplateletsdecreases
andurinaryserotoninincreasesduringtheacutephaseofamigraineattack.Depletionofserotoninbyreserpine利血平mayprecipitatemigraineanddecreasedbyserotoninantagonists(sumatriptan,英明格)6.Neurotransmitter(36B.Theclassificationofmigraine
1.classicmigraine
(典型偏头痛)
2.common
migraine
(普通型偏头痛)
3.specialtype:
a.ophthalmoplegicM.
(眼肌麻痹型偏头痛)
b.hemiplegicM.
(偏瘫型偏头痛)
c.
basilarartery
M.
(基底动脉型偏头痛)
d.
late-lifeM.(晚发性偏头痛)
e.migraineEquivalents
(偏头痛等值症):
B.Theclassificationofmigr37
C.Clinicfigures
临床表现
1.MigrainewithAura
(Classicmigraine典型偏头痛)
1)
Auras(先兆):
visualalteration,particularlyhemianopic
(偏盲)
fielddefects
(视野缺损)andscotomas(黑朦),
hemiparansthesia
(半身麻木)。
2)Headache:
50%ofpatientsexperiencenomorethanonceattackperweek,thedurationofepisodesisgreaterthan2hoursandlessthan1dayinmostpatients.Usuallyunilateralandfrequentlypulsatile
inquality;Althoughhemicranialpainisahallmark标志
ofclassicmigraine,headachecanalsobebifrontal双前额,lesscommonlylocalizedtotheoccipitalorvertex头顶
oftheSkull.
38
3)companysymptoms伴随症状:
Thenausea(恶心),vomiting(呕吐),photophobia(畏光),phonophobia(惧声),irritability(激惹),andlassitude
(倦怠)arecommon.Uncommonly,migraineareassociatedwithfrankneurologicdeficits明显神经学缺陷
thataccompanyorpersistbeyondresolutionofthepainphase.ThoseMayincludehemiparesis,hemisensoryloss偏身感觉丧失,speech
dysfunction语言功能障碍,or
visualdisturbance视觉紊乱.Samepatientshavevertigo眩晕,ataxia共济失调,oralteredconsciousness意识.3)companysymptoms伴随症状39
2.MigrainewithoutAura
(commonmig.)a.Thisisthemostfrequenttypeofmigraine(over80%).Thesymptomsandsignsaresimilaritytheclassicmigraine,butlackstheaura.
b.Headache:
bilateral(orunilateral),periorbital
achingorthrobbinginquality;longertimes;oftenoccursonweekendandholidays。
Anusefulbedsidetestforbothcommonandclassicmigraineisreducingheadacheseveritybycompressingtheipsilateralcarotidorsuperficialtemporalartery.2.MigrainewithoutAur40
3.specialtype:
a.ophthalmoplegicM.
(眼肌麻痹型偏头痛)
Duringor
aftermigraineattackoccur
ocularnerveparalysis,ptosis,pupildilation,ets.andpersistshoursormonths.b.hemiplegicM.
(偏瘫型偏头痛)
withhemiplegia;last10m.~days~wk.;children,lessinadult.
c.basilararterymigraine(基底动脉型偏头痛)
mostcommoninchildrenandyouthfulwomen;visualalteration:fielddefects
andscotomas,
ataxia,vertigo,tinnitus耳鸣,diplopia复视,nystagmus眼震,dysarthria构音障碍,bilaterallimbsnumbandweak,impairmentofrecognizeandconsciousness,andnausea,vomiting,ets.3.specialtype:41
d.migraineEquivalents
(偏头痛等值症):
abdominalpain腹痛,thorax,pelvis骨盆
andlimbspain,boutsfever周期性发热,attacksoftachycardia心动过速,benignparoxysmalvertigo良性发作性眩晕,cyclicedema,andsoon.
episodic,recurrence,excludedfromothersystemicdiseasesbyhistoryandexaminations.
42D.Diagnosisofmigraine
AccordingtotheInternationalassociateofheadacherecomm-endedaprogrammein1988,thediagnosisofmigrainewillbeinkeepingwithbelowcriterion.
D.Diagnosisofmigraine43a.Migrainewithaura1.Have2subjectsofbelow,breakout2atleast;2.Havebelowcharacteristicatleast3subjects:
1)Morethan1timeauraoffunctionaldisturbanceinfocalcortexorbrainstem2)Anauraatleastgradualdevelopmentandpersistmorethan4min.,orhave2auras;
3)Theaurapersistslessthan60min.;4)Thereisnotanintervaltimebetweentheauraandheadache;
3.
Haveoneofbelowatleast:
1)Noevidenceoforganicdiseasesbyhistoryandexamination;
2)Apossibleoforganicdiseasesbyhistoryandexamination,butwasdenybytest;
3)Althoughhavesomeorganicdiseases,butthe1stmigraineattackhavenotrelationwithit.
a.Migrainewithaura1.Have44
典型(有先兆)偏头痛诊断标准
1.符合以下2项,发作至少两次;
2.有以下特征至少3项:1)有局限性脑皮质或/和脑干功能障碍的大于1次以上的先兆;
2)至少有一个先兆症状逐渐发展、持续4分钟以上,或先后有两个以上的先兆;
3)先兆症状持续的时间小于60分钟;
4)先兆症状与头痛间无间歇期。
3.
至少有下列之一:
1)病史和体检不提示有器质性疾病证据;
2)病史和体检提示有某种器质性疾病可能,但经检查被否定;
3)虽有某种器质性疾病,但首次偏头痛发作与该疾病无密切关系。典型(有先兆)偏头痛诊断标准45
b.Migrainewithoutaura
1.Have2-4subjectsofbelow,breakoutmorethan
5timesatleast
;2.
Ifnottreat,itcontinues4-72h.aseizure,;3.Havebelowcharacteristicatleast2subjects:1)unilateral;2)pulsatile(throbbing)
;
3)middle-seriousdegree,dailylifelimited;4)Headacheseriousafteract
;
4.Haveoneofbelow:1)nausea&vomiting;2)photophobia,phonophobia;
5.Withoutotherknownsimilardiseases,andexcludeotherdiseasesofthebody.b.Migrainewithouta46
普通型(无先兆)偏头痛诊断标准
1.符合下述2-4项,发作至少5次以上;2.如果不治疗,每次发作持续4-72小时;3.有以下特征至少两项:1)单侧型;2)搏动型;3)中-重度头痛,日常活动受限;4)活动后头痛加重;
4.发作期间有下列之一:1)恶心和呕吐;2)畏光和惧声;
5.无其他已知的类似疾病:病史和躯体的其他方面正常。Migraine偏头痛中英双语版1课件47
C.Differencediagnosis:
1.clusterheadache(丛集性头痛)
2.tension-typeheadache(TTH,紧张型头痛)
3.othervascularpain(其他血管性头痛)
4.Painfulophthalmoplegia(痛性眼肌麻痹)
5.carotidynia(颈动脉痛)C.Differencediagnosis48
1)Clusterheadache
(丛集性头痛)
men>women;(4~5:1)
20-50yr.;recurrent;severalormanytimesdailyforseveraldaysorweekes;Prodromes先兆
areuncommon,Ictal发作
andstopsuddenly;periorbitalstrongpainwithcongestionoftheconjunctivae,lacrimation流泪,occasionalptosis上睑下垂
oftheeyelidsandsweating;1)Clusterheadache(丛集性头49Migraine偏头痛中英双语版1课件50
2)Tension-typeheadache
紧张型头痛
Tension-typeheadacheisachronicdisorderthatmostpatientsbeginsafterage20.Frequent(oftendaily)attacks,nonthrobb-ing,bilateralocciptalorfront,evenallheadpain,Sometimeslikenedtoa
press,tightbandaroundthehead,ictal
orpersistmonthsoryears.
Notassociatedwithnausea,vomiting,orprodromalvisualdisturbance.
温馨提示
- 1. 本站所有资源如无特殊说明,都需要本地电脑安装OFFICE2007和PDF阅读器。图纸软件为CAD,CAXA,PROE,UG,SolidWorks等.压缩文件请下载最新的WinRAR软件解压。
- 2. 本站的文档不包含任何第三方提供的附件图纸等,如果需要附件,请联系上传者。文件的所有权益归上传用户所有。
- 3. 本站RAR压缩包中若带图纸,网页内容里面会有图纸预览,若没有图纸预览就没有图纸。
- 4. 未经权益所有人同意不得将文件中的内容挪作商业或盈利用途。
- 5. 人人文库网仅提供信息存储空间,仅对用户上传内容的表现方式做保护处理,对用户上传分享的文档内容本身不做任何修改或编辑,并不能对任何下载内容负责。
- 6. 下载文件中如有侵权或不适当内容,请与我们联系,我们立即纠正。
- 7. 本站不保证下载资源的准确性、安全性和完整性, 同时也不承担用户因使用这些下载资源对自己和他人造成任何形式的伤害或损失。
最新文档
- 中国即时配送行业市场深度调研分析及投资前景研究预测报告
- 公路环境保护培训课件
- 医保科培训课件
- 可行性研究报告范文案例
- 道桥专用防水卷材项目投资可行性研究分析报告(2024-2030版)
- 税务师网课价格
- 供应商考察报告范文怎么写
- 中国自行车头盔行业市场调查研究及投资前景预测报告
- 2025年 杭州市建德市资产经营投资有限公司招聘考试笔试试题附答案
- 拍卖会策划方案范文
- 2024年-2025年农作物植保员职业技能考试题及答案
- (小升初分班考)2023年小升初英语专题训练:阅读理解(人与自然)(含答案解析)人教PEP版
- 拍卖合同模板三篇
- 2023北京西城区初二期末(下)物理试卷及答案
- 2023-2024学年山东省烟台市高一下学期期中生物试题(解析版)
- 浅谈机械设计制造及其自动化在飞机发动机中的应用
- 2024年西北工业大学附中丘成桐少年班初试数学试题真题(含答案详解)
- 北京东城五中2025届高三(最后冲刺)历史试卷含解析
- 2023-2024学年浙江省衢州市开化县七年级(下)期中数学试卷(含答案)
- 房产自愿转让协议书
- 人教版必修二研究与实践了解车用能源化学
评论
0/150
提交评论