2022河北省唐山市二模

2022河北省唐山市二模篇一：2022唐山二模理科数学试题及答案

唐山市2022—2022学年度高三年级第二次模拟考试

理科数学参考答案

一、选择题：

A卷：CBDADCBADABCB卷：BCDADCBAADCB二、填空题：

201

〔13〕150°；〔14〕；〔15〕20π；〔16〕．

276

三、解答题：〔17〕解：

〔Ⅰ〕因为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〕因为∠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〕证明：

取PD中点E，连AE，EM，那么EM∥AN，且EM＝AN，

四边形ANME是平行四边形，MN∥AE．取AD中点O，连PO，那么PO⊥AD．又因为平面PAD⊥平面ABCD，

所以PO⊥平面ABCD，PO⊥CD．〔Ⅱ〕由AB＝AD，AD⊥CD，得□ABCD是正方形，建立如下列图空间直角坐标系，设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)，

设平面PBD的法向量m＝(x，y，z)，那么

22x＋0×y＋3×z＝0，(

)

→|MN·m|2→设直线MN与平面PBD所成的角为θ，那么sinθ＝|cos7→|MN||m|

〔19〕解：

560(80×200－40×240)2

〔Ⅰ〕K＝5.657，因为5.657＞5.024，

120×440×320×240

所以能在犯错概率不超过0.025的前提下认为“是否支持节能降耗技术改造〞与“企业规模〞有关．〔Ⅱ〕由〔Ⅰ〕可知“支持〞的企业中，中小企业家数之比为1:3，按分层抽样得到的12家中，中小企业分别为3家和9家．

设9家获得奖励的企业中，中小企业分别为m家和n家，那么〔m，n〕可能为〔0，9〕，〔1，8〕，〔2，7〕，〔3，6〕．与之对应，X的可能取值为90，130，170，210．

0918CC1CC27

P(X＝90)＝，P(X＝130)＝，

C12220C12220

2

篇二：河北省唐山市2022年高三英语二模答案

唐山市2022-2022学年度高三年级第二次模拟考试

英语试题参考答案

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

语法填空：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

短文改错

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.

听力原文

第一节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.

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W:Hello,LostandFoundOffice.

M:Hello.I’mcallingaboutawallet.IdidalittleshoppingatyourdepartmentstoreonMondayafternoonandtookarestonthebench.W:AwalletM:Yes.It’sablackleatherwallet.Mypassportisinit.MynameisDavidSmith.

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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年高考数学二模试卷(理科)【解析】

2022年河北省唐山市高考数学二模试卷〔理科〕

一、选择题〔本大题共12小题，每题5分，共60分，在每题给出的四个选项中，有且只有一项为哪一项符合题目要求〕

1．设集合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．在复平面内，复数z与A．2+iB．2﹣iC．﹣2+i

的对应点关于虚轴对称，那么z=〔〕D．﹣2﹣i

2

3．在等差数列{an}中，a7=8，前7项和S7=42，那么其公差是〔〕A．﹣B．

C．﹣D．

4．执行如图的程序框图，假设输入的a=209，b=76，那么输出的a是〔〕

A．19B．3

C．57D．76

5．设a=log3π，b=logπ3，c=cos3，那么〔〕A．b＞a＞cB．c＞b＞aC．a＞c＞bD．a＞b＞c

6．函数y=4sin〔ωx+φ〕〔ω＞0，|φ|＜π〕部分图象如图，其中点A〔

，0〕，B〔

，

0〕，那么〔〕

A．ω=，φ=﹣

B．ω=1，φ=﹣C．ω=，φ=﹣D．ω=1，φ=﹣

7．设实数x，y满足约束条件，那么z=的取值范围是〔〕

A．[，1]B．[，]C．[，]D．[，]

8．某几何体的三视图如下列图，那么该几何体的体积为〔〕

A．

B．

C．

D．

9．一种团体竞技比赛的积分规那么是：每队胜、平、负分别得2分、1分、0分，甲球队已赛4场，积4分，在这4场比赛中，甲球队胜、平、负〔包括顺序〕的情况共有〔〕A．7种B．13种C．18种D．19种

10．在△ABC中，AB=2BC，以A，B为焦点，经过C的椭圆和双曲线的离心率分别为e1，e2，那么〔〕A．

﹣

=1

B．

﹣

=2

C．

﹣=1D．﹣=2

11．函数f〔x〕=﹣，g〔x〕=xcosx﹣sinx，当x∈[﹣3π，3π]时，方程f〔x〕=g

〔x〕根的个数是〔〕

A．8B．6C．4D．2

12．圆C：x+y=1，点M〔t，2〕，假设C上存在两点A，B满足是〔〕

A．[﹣2，2]B．[﹣3，3]C．[﹣

2

2

=，那么t的取值范围

，]D．[﹣5，5]

二、填空题〔本大题共4小题，每题5分，共20分〕13．||=

14．设Sn是数列{an}的前n项和，an=4Sn﹣3，那么S4=．

15．在三棱锥P﹣ABC中，△ABC与△PBC都是等边三角形，侧面PBC⊥底面ABC，AB=2那么该三棱锥的外接球的外表积为．16．曲线

+

=1与两坐标轴所围成图形的面积是．

，||=2，假设〔+〕⊥，那么与的夹角是．

，

三、解答题〔本大题共70分，其中17-21题为必考题，22-24题为选考题，解容许写出文字说明、证明过程或演算步骤〕

17．在△ABC中，角A，B，C所对的边分别为a，b，c，2〔a﹣b〕=2accosB+bc．〔Ⅰ〕求A；

〔Ⅱ〕D为边BC上一点，BD=3DC，∠DAB=

，求tanC．

2

2

18．如图，四棱锥P﹣ABCD的底面ABCD是平行四边形，侧面PAD是等边三角形，平面PAD⊥平面ABCD，M，N分别是棱PC，AB的中点，且MN⊥CD．〔Ⅰ〕求证：AD⊥CD；