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2022河北省唐山市二模篇一:2022唐山二模理科數(shù)學(xué)試題及答案
唐山市2022—2022學(xué)年度高三年級第二次模擬考試
理科數(shù)學(xué)參考答案
一、選擇題:
A卷:CBDADCBADABCB卷:BCDADCBAADCB二、填空題:
201
〔13〕150°;〔14〕;〔15〕20π;〔16〕.
276
三、解答題:〔17〕解:
〔Ⅰ〕因為2accosB=a2+c2-b2,所以2(a2-b2)=a2+c2-b2+bc.12π
整理得a2=b2+c2+bc,所以cosA,即A=
23
ππ
〔Ⅱ〕因為∠DAB=AD=BD·sinB,∠DAC=.
26
在△ACD中,有
ADCDBD=3CD,sinCsin∠DAC
π3333
所以3sinB=2sinC,由B=-C得cosC-sinC=2sinC,整理得tanC=
3227〔18〕解:
〔Ⅰ〕證明:
取PD中點E,連AE,EM,那么EM∥AN,且EM=AN,
四邊形ANME是平行四邊形,MN∥AE.取AD中點O,連PO,那么PO⊥AD.又因為平面PAD⊥平面ABCD,
所以PO⊥平面ABCD,PO⊥CD.〔Ⅱ〕由AB=AD,AD⊥CD,得□ABCD是正方形,建立如下列圖空間直角坐標系,設(shè)AB=2,那么
13
A(1,0,0),B(1,2,0),D(-1,0,0),P(0,03),E,0,.
22
(
)
→DB=(2,2,0),→DP=(1,0,3),
設(shè)平面PBD的法向量m=(x,y,z),那么
22x+0×y+3×z=0,(
)
→|MN·m|2→設(shè)直線MN與平面PBD所成的角為θ,那么sinθ=|cos7→|MN||m|
〔19〕解:
560(80×200-40×240)2
〔Ⅰ〕K=5.657,因為5.657>5.024,
120×440×320×240
所以能在犯錯概率不超過0.025的前提下認為“是否支持節(jié)能降耗技術(shù)改造〞與“企業(yè)規(guī)模〞有關(guān).〔Ⅱ〕由〔Ⅰ〕可知“支持〞的企業(yè)中,中小企業(yè)家數(shù)之比為1:3,按分層抽樣得到的12家中,中小企業(yè)分別為3家和9家.
設(shè)9家獲得獎勵的企業(yè)中,中小企業(yè)分別為m家和n家,那么〔m,n〕可能為〔0,9〕,〔1,8〕,〔2,7〕,〔3,6〕.與之對應(yīng),X的可能取值為90,130,170,210.
0918CC1CC27
P(X=90)=,P(X=130)=,
C12220C12220
2
篇二:河北省唐山市2022年高三英語二模答案
唐山市2022-2022學(xué)年度高三年級第二次模擬考試
英語試題參考答案
卷A
1.A10.A19.C28.D37.D46.B55.C
2.C11.B20.B29.C38.A47.D56.D
3.B12.C21.B30.A39.F48.C57.A
4.A13.B22.D31.B40.C49.A58.B
5.B14.A23.A32.B41.D50.C59.D
6.A15.C24.C33.C42.B51.C60.B
7.C16.C25.A34.D43.A52.B
8.C17.A26.B35.A44.C53.D
9.B18.C27.A36.G45.A54.A
卷B
1.C10.B19.B28.C37.D46.A55.C
語法填空:61.wonderful
62.weregreeted
63.whether
64.he69.best
65.hoping70.on
66.caught67.a
68.which
2.A11.A20.C29.D38.A47.D56.D
3.C12.A21.A30.A39.F48.C57.C
4.B13.C22.A31.D40.C49.B58.B
5.B14.A23.D32.B41.D50.A59.C
6.A15.A24.B33.A42.A51.D60.D
7.B16.B25.C34.C43.B52.B
8.C17.C26.C35.B44.A53.B
9.B18.C27.B36.G45.C54.A
短文改錯
Ifyoumonitorthewastingofenergyathome,you’amazed
andyouwatch∧therooms
alone
withleave
Aren’
Let’sbemoreconcernedaboutthefuture,becausethat’swherewe!Ifmakes
Onepossibleversion
’mconcerned,allyoursymptomsefromtestanxiety.Itismonforastudenttofeelnervousinfaceoftheexam.Sojustfaceitandtakeiteasy.
Iadviseyoutofocusontheproblemsratherthantheexamresults.Forexample,youcangothroughyourexampapers,findoutwhatyourproblemsareandmakeimprovements.Andbyopeningyourselfuptoyourparents,teachersandclassmates,youmaygetvaluableadvice.Besides,youcanconsultadoctorifalltheseeffortsdonotseemtowork.Aboveall,believeinyourself,andeverythingisgoingtobeOK.
聽力原文
第一節(jié)Text1
W:Goodmorning,thisisUnitedAirlines.WhatcanIdoforyouM:Hello,Miss.WhatcanIdoforyouM:Yes,itisbusytoday.Wouldyouliketotakeaseatandwaitforawhile,pleaseW:Excuseme.IsthiswhereIcatchthebusforthezooM:Well,youcantaketheNo.20bus,andit’sa10minuteride.But,thenyouhavetowalkabout15minutes.Text4
W:Happybirthday!Thisisforyou,Frank.
M:Oh,thanks,Carol.Iamsohappyyouremembered.Pleaseeinandenjoytheparty.Butbeforethat,I’dlikeyoutomeetmylittlesisterAngelina.Iamsureyoutwowillgetalongwell.Text5
M:Parisisreallyagoodplacetovisit.W:HowlonghaveyoubeenhereM:SinceSeptember.IhadagreattourofParisandattendedthe2022ParisFashionWeek.It’sbeenwonderful.第二節(jié)
W:Hello,LostandFoundOffice.
M:Hello.I’mcallingaboutawallet.IdidalittleshoppingatyourdepartmentstoreonMondayafternoonandtookarestonthebench.W:AwalletM:Yes.It’sablackleatherwallet.Mypassportisinit.MynameisDavidSmith.
W:Wehaveithere.AcashierfounditatthecounteronTuesdaymorningandturneditinimmediately.
M:Oh,good.HowandwhencanIgetitbackW:Well,youhavetoehereandfilloutaformthisFridayandwewillgiveittoyou.M:Thankyou.Text7
W:Homeatlast.Tonightwehavealotofmathhomework,Eason.
M:Areyousayingwedon’thavetimetowatchourfavoriteshowtonightW:DoyouthinkweshouldbetalkingabouthimlikethisbehindhisbackM:Probablynot.Afterall,heisourteacher.Weshouldtrytofindsomethingnicetosay.W:Iabsolutelyagree.It’sgettingdark.Weshouldfinishourhomeworknow.M:Allright.Iwanttotakeashowerfirst.Iamsotired.Text8
M:Whatareyoureading,LindaW:IamreadinganovelTheMillontheFloss,writtenbythefamousnovelist,GeorgeEliot.M:What’sitaboutW:Itismainlyabouttherelationshipbetweenabrotherandsister,wholiveinamillonRiverFloss.Itdescribestheirchildhoodandanargumentthatcausesthemtoseparate.Thebookendswiththemhappilytogetheragain,buttheyareunfortunatelybothkilledinaflood.M:IsitdifficulttounderstandM:Besidesnovels,arethereanyothertypesofliteraryworksthatinterestyouW:CertainlyIhave.IliketoreadbooksonvarioussubjectsandIreadeverythingIcangetmyhandsoninmysparetime.Idon’twanttohangaroundandwastemytime.M:Iagree.Booksarelikefoodforthemind.
M:Here’syourkeycard.Beforeyougotoyourroom,letmetellyouaboutthehotel’swiderangeofservices.Wehavea24-hourlaundryservice,thepricelistcanbefoundinyourroom.AreyouhereforbusinessM:There’sabusinesscentrejustdownthehall.Youcansendfaxes,photocopyandemailfromthere.Ifyouhavealaptopwealsohavefreewirelessinternetaccess.W:Great.
M:Facingthebusinesscentrethereisacoffeeshopandahairdresser’s.Intheeveningyoucanrelaxinourexcellentrestaurantandenjoyabeeratthebar.Wealsohaveaswimmingpool,andagym.
W:Isyourroomservice24-hourM:Yes,itis,justincaseyougethungryinthenight.W:DoyouknohereIcanhireacarM:Thehotelhasexcellentcarservice.Wecanprovideyouwithacarandadriverandhaveitchargedtoyourbill.
W:OK,Imightneedtodothat.ThankyousomuchforyourconsiderationandIamreallygladI’vechosenyourhotel.Text10
I’mAlexandraGrace,EducatoratNewZealandEmbassyBeijing.TodayIwillgiveyouabriefintroductionofNewZealand’shighereducation.Smallasitmaybe,NewZealandoffersqualityhighereducationopportunities,withtwothirdsofitshighereducationinstituteswithinthetop10ofQSWorldUniversityRankings2022.WhatmakesNewZealand’suniversitiesstandoutistheirabilitiestoprovidehigh-endeducation.
ThoughChinesestudentsformthelargestinternationalstudentgroupinNewZealand,thecountryonlyranksthe7thonChinesestudents’mostdesirableoverseasdestinationlist.Thesizeofthecountrypreventsitbeingahotstudydestination.Butitdrawsstudentswithitssafeandmulti-culturalenvironment.
Whileitattractsmainlywealthystudents,highereducationinNewZealandisalsoaffordableformanymonChinesefamilies.ChinesestudentscangetaBritish-basededucationwiththeschoolfeebeingsomeofthelowestintheworld.Onaverage,theschoolfeewasabout25,000dollarsperyear,andthelivingcostswereabout20,000dollarsayear.Besides,studentscandosomepart-timejobs.Themoneyearnedinthosejobsisenoughforthemtotravelaroundthecountryandenjoyitsbreath-takingscenery.
篇三:河北省唐山市2022年高考數(shù)學(xué)二模試卷(理科)【解析】
2022年河北省唐山市高考數(shù)學(xué)二模試卷〔理科〕
一、選擇題〔本大題共12小題,每題5分,共60分,在每題給出的四個選項中,有且只有一項為哪一項符合題目要求〕
1.設(shè)集合A={﹣1,0,1,2,3},B={x|x﹣2x>0},那么A∩B=〔〕A.{3}B.{2,3}C.{﹣1,3}D.{0,1,2}
2.在復(fù)平面內(nèi),復(fù)數(shù)z與A.2+iB.2﹣iC.﹣2+i
的對應(yīng)點關(guān)于虛軸對稱,那么z=〔〕D.﹣2﹣i
2
3.在等差數(shù)列{an}中,a7=8,前7項和S7=42,那么其公差是〔〕A.﹣B.
C.﹣D.
4.執(zhí)行如圖的程序框圖,假設(shè)輸入的a=209,b=76,那么輸出的a是〔〕
A.19B.3
C.57D.76
5.設(shè)a=log3π,b=logπ3,c=cos3,那么〔〕A.b>a>cB.c>b>aC.a(chǎn)>c>bD.a(chǎn)>b>c
6.函數(shù)y=4sin〔ωx+φ〕〔ω>0,|φ|<π〕部分圖象如圖,其中點A〔
,0〕,B〔
,
0〕,那么〔〕
A.ω=,φ=﹣
B.ω=1,φ=﹣C.ω=,φ=﹣D.ω=1,φ=﹣
7.設(shè)實數(shù)x,y滿足約束條件,那么z=的取值范圍是〔〕
A.[,1]B.[,]C.[,]D.[,]
8.某幾何體的三視圖如下列圖,那么該幾何體的體積為〔〕
A.
B.
C.
D.
9.一種團體競技比賽的積分規(guī)那么是:每隊勝、平、負分別得2分、1分、0分,甲球隊已賽4場,積4分,在這4場比賽中,甲球隊勝、平、負〔包括順序〕的情況共有〔〕A.7種B.13種C.18種D.19種
10.在△ABC中,AB=2BC,以A,B為焦點,經(jīng)過C的橢圓和雙曲線的離心率分別為e1,e2,那么〔〕A.
﹣
=1
B.
﹣
=2
C.
﹣=1D.﹣=2
11.函數(shù)f〔x〕=﹣,g〔x〕=xcosx﹣sinx,當x∈[﹣3π,3π]時,方程f〔x〕=g
〔x〕根的個數(shù)是〔〕
A.8B.6C.4D.2
12.圓C:x+y=1,點M〔t,2〕,假設(shè)C上存在兩點A,B滿足是〔〕
A.[﹣2,2]B.[﹣3,3]C.[﹣
2
2
=,那么t的取值范圍
,]D.[﹣5,5]
二、填空題〔本大題共4小題,每題5分,共20分〕13.||=
14.設(shè)Sn是數(shù)列{an}的前n項和,an=4Sn﹣3,那么S4=.
15.在三棱錐P﹣ABC中,△ABC與△PBC都是等邊三角形,側(cè)面PBC⊥底面ABC,AB=2那么該三棱錐的外接球的外表積為.16.曲線
+
=1與兩坐標軸所圍成圖形的面積是.
,||=2,假設(shè)〔+〕⊥,那么與的夾角是.
,
三、解答題〔本大題共70分,其中17-21題為必考題,22-24題為選考題,解容許寫出文字說明、證明過程或演算步驟〕
17.在△ABC中,角A,B,C所對的邊分別為a,b,c,2〔a﹣b〕=2accosB+bc.〔Ⅰ〕求A;
〔Ⅱ〕D為邊BC上一點,BD=3DC,∠DAB=
,求tanC.
2
2
18.如圖,四棱錐P﹣ABCD的底面ABCD是平行四邊形,側(cè)面PAD是等邊三角形,平面PAD⊥平面ABCD,M,N分別是棱PC,AB的中點,且MN⊥CD.〔Ⅰ〕求證:AD⊥CD;
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