果一个分句内部用了逗号，那么分句之间就用分号。[误区3]选D项。[错误类型]并列成分标点误用。[误区点拔]丁处逗号改顿号，“富有人文内裾”“彰显城市底蕴”并列做定语。12.C(C项与原文相同，都起强调作用.)[误区1]选A项。[错误类型]引号用法误判。[误区点拔]是特定称谓。[误区2]选B项。[错误类型]未结合句意理解。[误区点拨]是引用。[误区3]选D项。[错误类型]未理解引用的内容[误区点拨]是特殊含义。

5.结合材料，简析中国陶瓷艺术的“天人合一”思想体现在哪些方 面。(6分) 答：

答案 示例：①预防骨质疏松必须吃补钙药吗 ②饮食上要 均衡膳食、衡营养③调整不健康的生活方式（每处2分）

+绿十2Y2y3定0，m(x=ty+12t设M(M),N(22),则十%=一2十2m为=32+26分（i)由PAM共线，得n2产20由PB,N共线，得n”222②……7分则由08经号产，团又号+营=1片以产20，®4T2将④代入③，得m=号-(-2)(-2》=--1)y-1少=P边边-(y+2)+1=+1m+22y1y22y1y22y1y2-632+2所以m=4.……8分(ⅱ)，点B一定在以MN为直径的圆内，证明如下：点B在以线段MN为直径的圆内台BM.BN<0曰BM.BP>0,⑤……9分因为Bi=(-2,y),Bp=(2,n）,所以Bi.B驴=2(-2)十nM,…10分由①、④，有%=3(2-)，故Bi.B市=2(-2)十ny=2-m1,而-20,即⑤成立，所以点B大定在以线段MN为直径的圆内.…12分21.【解析】(1)当n=0时，赌徒已经输光了，因此P(0)=1,…1分当n=B时，赌徒到了终止赌博的条件，不再睹了，因此输光的概率P(B)=0.…2分(2)记M:赌徒有n元最后输光的事件，：赌徒有n元上一场赢的事件，…3分P(MW=P(N)P(MN)十P(W)P(MN),……4分即Pw=2P(n-1)+2P(n+10,……5分所以P(n)-P(n-1)=P(n+1)-P(n),所以{P()》是一个等差数列，……6分设P(n)一P(n一1)=d,则P(n一1)一P(n-2)=d,…,P(1)一P(0)=d,…7分累加得P(m)-P(0)=d,故P(B)-P(0)=Bd,得d=-B……8分A(3)A=100,由P(n)-P(0)=nd得P(A)-P(0)=Ad,即P(A)=1-B…9分当B=200时，P(A)=50%,…10分当B=1000时，P(A)=90%,…11分当B○时，P(A)→1，因此可知久赌无赢家，即便是一个这样看似公的游戏，只要赌徒一直玩下去就会100%的概率输光。…12分2.【解析11)由fx)=e-是-0，得xe=a,(x≠0，设h(x)=xe2,则h'(x）=(x十1)e,……1分当x<一1时，h'(x)0,当一10时，h'(x)>0,所以h(x)=x在（一1,0），(0，十∞)上单调递增；在（一∞，一1）上单调递减，…2分所以h(r)m=h(-1)=-二，且-o时，h(x)<0,3分e据此可画出h(x)=xe的大致图象如图，所以(1)当a<-1或a=0时，f(x无零点；(1)当a=-已或>0时，)有-个零点；(i）当-

设)=m的根为则=-1十。In2a<0,当x0,f(x)单调递增；又h(x)为单调递减函数，当ln2a0时，f'(x)>0,f(x)单调递增；所以x≤x1·设曲线y=f(x)在点(0,0)处的切线方程为y=t(x),@当a=号时，f")=z(e-1D≥0，fx)在R上单有t(x)=x,调递增；令T(x)=f(x)-t(x)=(x+1)(e-1)-x,④当a>号时，令f(x)=0,得x,=0,=lh2a>0则T'(x)=(x+2)e-2,当x<0时，f'(x)>0,f(x)单调递增；当x≤-2时，T(x)=(x+2)e-2≤-2<0；当0-2时，令M(x)=T'(x),当x>ln2a时，f'(x)>0,f(x)单调递增.则M'(x)=(x+3)e>0,(Ⅱ)证明：若选①，则由(I)知f(x)在（一∞，0）上单故函数T'(x)在（一2，十∞）上单调递增.调递增，在(0，ln2a)上单调递减，在(ln2a,+∞)上单又T'(0)=0,所以当x∈(-∞，0)时，T'(x)<0;调递增当x∈(0，十∞)时，T'(x)>0,所以函数T(x)在（一∞，0）上单调递减，在(0，+∞)上(√)-(-)2a-1>0,所以T(x)≥T(0)=0,即f(x)≥t(x).f:在(-√臣0)上有且仅有-个零点设t(x)=m的根为x2,又f(ln2a)=(ln2a-1)·2a-a·ln22a+b>则x2=m.2a ln2a-2a-aIn22a+2a=aln2a(2-In2a),又函数t(x)为单调递增函数，且0,（1+0)-1+m1二2e1-e.当x≥0时，f(x)≥f(ln2a)>0,14.【名师指导】本题考查利用导数研究函数的单调性和极∴.f(x)在[0，十∞)上无零点.值、函数的零点，考查运算求解能力、推理论证能力综上所述，f(x)在R上仅有一个零点xo,且x。∈(I)先求出f'(x),根据a的取值范围分情况讨论，利(用导数研究函数f(x)的单调性；（Ⅱ）若选①，由9I)若选②，由(I)可知，函数f(x)在(-∞，ln2a)上单调可知f(x)的单调区间，根据题中给a,b的取值范围确递增；在(n2a,0)上单调递减；在(0，十o∞)上单调递增；定极值，即可求解；若选②，由(I)可知f(x)的单调区又limf(x)=lim[(x-l)e-a.x2+b]→-oo;间，再根据α，b的取值范围确定极值，即可求解.解：(I)f'(x)=xe-2ax=x(e-2a),limf(x)=lim[x-1)e-ax2+b]→+∞，①当a≤0时，令f'(x)=0,得x=0,f(In2a)=(In2a-1)ehn-a (In2a)2+b=2a (In2a-当x<0时，f'(x)<0,f(x)单调递减；1)-a(1n2a)2+b≤2a(ln2a-1)-a(ln2a)2+2a=当x>0时，f'(x)>0,f(x)单调递增；2aln2a-aln'2a,令ln2a=t(t<0),②当0

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k+b=2(k=1解得故旋转后所得直线的解析式为b=1b=1【解折】观察图象可知，当>时，直线)=+0y=x+1.(k≠0)在直线y=1的上方，.不等式kx+b>1的解一题多解染为心号画出旋转后的图象如解图所示，设旋转后的函数解析式为y=k'x+b,一次函数y='x+b的图象12过点(0,1)，.b=1,又一次函数y=-x+1的图象与一次函数y='x+b的图象垂直，.一三1【解析】将(a,4)代入y=2x-2,得4=2a-2,解得a=(直线y=k,x+b,与直线y=k2x+b2互相垂直，则3,.直线y=2x-2与直线y=-x+b交于点P(3,k2·k2=-1),.'=1,∴.旋转后的函数解析式为y4),.方程组(x+y=b的解为=32x-y=(y=4=x+1.2.k1=-k2【解析】令kx+1=0,解得x=-,令x-1=0,解得10,1（交于同一点，两函数图象对应的第4题解图值相等)，k+k2=0,即k,=-k23.x<281【解析】小一次函数y=ax+b的图象经过第二、三、四础【解析】如解图，作点A关于y轴的对称点A',AA'交y象限，.a<0.把点(-2,0)代入可得-2a+b=0,即分轴于点D,连接A'B,由对称的性质得∠A'BD=2a-b=0,2a-b=0,当y=ax-b=0时，x=2,∠ABD,由光反射的性质得，∠CBO=∠ABD(反射角.函数y=ax-b的图象与x轴的交点坐标为(2,0)，等于入射角)，.∠CB0=∠A'BD,C,B,A'三点共画出图象如解图，当x<2时，y=ax-b的图象在x轴线，点A的坐标为(-6,4)，.点A'的坐标为(6，上方，∴.不等式ax>b的解集是x<2.4),设BC所在直线的解析式为y=x+b(k≠0)，将yy=ax+b(6k+b=41k=-(6,4),(-2,0)代入，得解得2y=ax-b(-2k+b=0b=1:.BC所在直线的解析式为y=2x+1.y第3题解图A4.A【解析】（分类讨论）分情况讨论：①当k=0时，直线yC O=kx-k与x轴重合，则直线y=x-3和x轴的交点坐第5题解图标为(3,0)满足题意，.k的值可以取0：②当k≠0基础点25一次函数与方程、不等式时，3y=-4心-3=-，整理得(6-1)x=6-3,的关系1.B都是聚数1人女0日-1名是整【解析】x+b=0,∴.y=0,由图象可知，当y=0时，x数，k-1=±1或k-1=±2，.k=2或k=3或k=-1.=1,.关于x的方程kx+b=0的解为x=1.综上所述，k=0或k=2或k=3或k=-1,共4个.35.5(答案不唯-)1.1x72【解析】当两条直线与y轴所围成的三角形的面积等万唯基础交流QQ0群：66955644419

14-a,00,解得x>0,令f'(x)<0,解得x<0,所以f(x)在（一∞，0）上单调递减，在(0，十∞)上单调递增，…3分所以∫(x)mn=f(0)=0,…4分所以f(x)≥0；…5分(2)解：不坊设0<<所以)二2>之，即)-号0,解得x>ln是，令(x)<0,解得0<e2-1=0h(x)在(0，十∞)上单调递增，h(x)>h(0)=a-1≥0，a.h(x)=g'(x)≥0在(0，+∞)上恒成立，综上所述a的取值范围为[1，十o∞).……12分【高三数学参考答案第4页（共4页）】24092C

案·22·【24·G3AB(新高考)·数学·参考答案一必考一N】

南三第一轮复周测卷教学袋中摸出3球0.(17分)札记已知(2x十)”的展开式中第三项与第四项的二项式系数之比为1：2.(1)求n的值；(2)求系数最大项的表达式.【解题分析】1)”第三项与第四项的二项式系数之比是1：2，n(n-1)哈-号，即m解得=8，2×1于2n,则算3×2×1n的值为8.件有62=36(2)(2x+)的展开式的通项为T1=C(2)-()=C2x-(0

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基3.当我们准备好做一件事情时，要想到好运和厄运可能会同时到来。☆reason n.原因；理由When we are readyto do a thing,we·the reason for(doing)sth.(做)某事的理由础must think that good and bad luck may come at·“the reason+why/that从句”..的原the same time.因训4.有时一个简单的行动就会给我们带来危险。☆successful adj..获得成功的；有成就的Sometimes a simple action can bring danger tobe successful in/at(doing)sth.成功做某事us.拓展：success n.成功；成就练5.所以当我们干得好的时候，不要太得意。succeed v.成功；有成就；有作为So when we doagoodjob donbe too proud.(第IⅢ题连起来是一篇完整的语篇哦！你注意到了吗？)同根据汉语提示完成短文。每空词数不限。Self CheckGreg is a 1.successful(成功的)writer.He is2.·词汇串烧步famous as(作为..而出名)one of the youngest根据短文内容及汉语提示，填写单词或短语。writers in our town.Heis3.famous for(因...而练出名)writing children's books.Greg4.My favorite book is Robinson Crusoe.The 1.main character(主角)Robinson in the bookbecame(变得)famous when he was only15 yearsold.When people ask him about 5.liked sailing(航海).One day,somethingthe reason for his success(他成功的原因)，heterrible2.happened(发生).All the people onthe ship3.lost their lives(失去了生命)exceptoften says,"Find something you love and workhard,and then you'‖6.succeed(成功)one day(除..之外)Robinson.He got to an islandand tried to live there.It was hard for him.基I.用括号内所给单词的适当形式完成句子。There wasn't enough food on the island.Some1.Many people think that good lucktimes dangerous animals4.appeared(出现).It础appears(appear)along with bad luck.seemed that life5.became meaningless(变得毫无意2.Some say these words are meaningless(meaning),义)to him.However,.the6.unlucky(不幸的)mandidn't give up.After living there for twenty-eight训but some say they are true.3.Here is one of the most famous (famous)storiesyears,he was7.successful(成功的)in finding helpabout it.and left the island at last.The story of Robinson is练4.An old man had a horse,but one day hereally8.educational(有教育意义的).In our dailylost (lose)it.His neighbors felt sad for him.life,itis9.common(常见的)to have hard times,,5.However,the old man said,"How do you knowbut we should never10.lose hope(失去希望).this is unlucky (lucky)?Maybe it's a good thing."Instead(相反)，we should always try our best tosolve the problems.Ⅱ.根据首字母及汉语提示完成句子。1单元收藏夹基1.A few months later,the horse came back with基短语汉译英。some good horses and the old man became(变得)计划/希望/期待做某事plan/hope/expect to do sth,础rich.础2.查明；弄清2.The neighbors said he had good luck,but the oldfind out3.关于…进行讨论have a discussion about...训man told them it m ight_(可能)not be a good thing.3.One day the old man heard his son broke his leg训4.动作影片action moviecome out练when learning to ride a horse,and he said it was5.出版；出现quite common(常见的).练6.准备好（做某事）；愿意（做某事）be ready to do sth4.The next year,awar(战争)started and all the7.尽某人最大的努力try one's bestyoung men must go into the army(陆军)8.装扮；乔装打扮dress up5.The old man's son had a reason(原因)not to go,9.代替；替换take sb's placebecause his leg was broken.10.干得好do a good job句子汉译英。基L,根据汉语意思完成句子，每空一词。11.你觉得脱口秀节目怎么样？础1.另一个年轻人代替他去了前线。What do you think of talk shows?Another young man took his place to the12.我希望弄清楚世界各地发生了什么。I hope to find out what's going on around the world.训front.2.很多人都在战争中去世了，但老人和他儿子成13.你可以期待从他们那里学到很多东西。You can expect to learn a lot from them.练功地活了下来。14.主要原因之一是米老鼠就像一个普通人一样。Many people died in the war,but the old man andOne of the main reasons is that Mickey was like ahis son were successful in surviving.common man.15.他总是设法面对任何危险。He always tried to face any danger

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W:Good morning,Tony.M:Good morning,Miss ChengW:What's this in English?M:It's a ruler.W:What color is it?M:It's white.W:How do you spell it?M:R-U-L-E-R.W:Write it on the blackboard.M:OK,Miss Cheng.听第9段材料，回答第14至16题。W:Hi,what's your name,please?M:My name is Jack Brown.Are you Cindy Green?W:No,I'm not.My name is Cindy Smith.M:Is this your pen?W:No,it isn't.This is a red pen.My pen is green.M:Is 398-0082 your telephone number?W:No,it isn't.My phone number is 398-0028.How about yours?M:0h,its347-1238.听第10段材料，回答第17至20题。(M)Good morning,everyone!My name is Jack Smith.I have a telephone.My phone numberis 796-1257.What color is it?It's white.Look!This is my good friend.His name is Mike.This isa red pen.It's Mike's.His phone number is 651-3728.The brown cup is Mike's,too.参考答案第一部分第一节：1-5ACCAC第二节：6-10 CABCB11-15 ABBCC16-20 ABAAC第二部分第一节：21-25 BDBCA26-30 ACCDA31-35 BCDBC第二节：36-40 CDCBC41-45 DBBCB46-50 DAACB第三节：51-55 FCBDA第三部分(One possible version)第一节：56.names57.last58.he's59.three60.friends61.middle62.China63.eight64.meets65.number第二节：66.first67.in

《双语学报》2023一2024学年高一N版·新教材新高考第9期测试题参考答案及部分解析第9期测试题参考答案1-5 ABCAC6-10 ABBAC11-15 BCBAA16-20 CCABA21-25 DCCDC.26-30 ADCBC31-35 BACDA36-40 EGBAC41-45 ACABB46-50 ADACB51-55 DCDDA56-65(One possible version)56.truth57.quietly58.careful59.Gathering60.with61.to move62.the63.which64.needs65.has been recognized写作(One possible version)第一节Dear Peter,I'm glad to hear about your plan to visit China and I can't wait to welcome you here.It's goingto be an amazing experience for you.When it comes to social interaction in China,here are a fewthings to keep in mind.Firstly,it's important to be mindful of cultural differences.For example,in China,physicalcontact in greetings is less common than that in Western countries.A simple handshake is enough.Secondly,it's a great idea to learn a few basic Chinese phrases to help you communicate with thelocals.If you like,I would love to show you around and teach you something in person duringyour stayLooking forward to your visit!Yours,Li Hua第二节Paragraph 1:After Mr Thimpson was out of sight,Paul realized it was wrong to take the money.In fact,hismom never let him take the couple's money because she didn't think they had much money.Butthe Thimpsons were always trying to pay him for the work in their own ways.Thinking of thecakes,cookies,and sweaters Mrs Thimpson had made for him,Paul's face got red.Then he said toSteve,"You know,you're right.I don't know what came over me.I think telling them about themoney is the right thing to do."Paragraph 2:The boys finished cleaning the garage and then went into the house with the envelope.Paulashamedly showed the Thimpsons what he had found in the garage and apologized for wanting tokeep the money.Hearing that,the Thimpsons didn't feel angry.Instead,they thanked Paul andSteve for finding the money they had forgotten in the garage.Then they asked the boys to enjoythe cake and shared some family stories with them.That day,Paul not only learned the importanceof honesty,but also felt warmth from the old couple.第9期测试题部分答案解析阅读理解A导语：本文是一篇应用文，属于“人与社会”主题语境。文章介绍了明尼苏达州的四家剧院。2l.D,推断，根据Stevie Ray's Comedy Cabaret部分中the members create immediate comedies

27.A。根据上文的This is our80y/o janitor who had his rent raised and had to come back to可知，该处表示八十岁的James由于房租上涨，不得不重新回来上班。28.A。根据上文的no80-year-old person should have to do可知，该处表示“没有人在他这个年纪为了生计出来打扫卫生”。29.B。30.C。根据上下文对学生为老人筹款的介绍可知，他们呼吁大家帮助老人，来改变他（高龄出来工作）的命运。31.C。根据下文的in just12 hours.Finally,the campaign received S270,905可知，捐款数目很快达到预期目标。32.D。根据上文的t's crazy to see something like that可知，三位学生料到人们会给予帮助，但是他们没想到捐款数目会那么多。33.A。面对大家的热情捐款，James很感激。34.D。互联网上人们可以快速将筹款的事情传播出去。35.C。人们的热心举动会对James的生活产生很大的影响，帮助他退休，从而改变他的生活。第二节主题语境：人与社会一一体育本文是新闻报道。2023年滑雪登山世锦赛落下帷幕，中国实现金牌零的突破，最终三金收官。36.teenagers。考查名词复数。根据语境可知，设空处指的是后面提到的Yuzhen Lamu和Cidan Yuzhen两个人，故teenager用复数形式。37.was introduced.。考查一般过去时的被动语态。设空处在after引导的从句中作谓语，sport和introduce是被动关系，且根据语境可知，该处描述的是过去的情况，故填was introduced。38.that/which。考查关系代词。设空处引导限制性定语从句，修饰先行词a winter sport,且在从句中作主语，故填that或which。.39.traditionally。考查副词。设空处作状语，修饰谓语动词，故填traditional的副词形式。40.was。考查主谓一致。设空处所在句的主语是the gap,且根据前面的Before可知，该处用一般过去时，故填was。41.it。考查it的用法。设空处在thought后的从句中作形式主语，真正的主语是后面的toimprove。42.s。考查介词。设空处所在句表示，两位运动员都不是以滑雪登山运动员开始自已的运动生涯的。start off.as表示“以…开始…”，故填as。43.runner。考查名词。设空处作表语，表示“赛跑运动员”，故填runner。44.switching。考查动词-ing形式。设空处作后置定语，与excelling并列，且athlete与switch之间是逻辑上的主谓关系，故填switching。45.highest。考查形容词的最高级。根据第一段中的..Cidan Yuzhen,,won three gold medals inthe Ski Mountaineering World Championships可知，次旦玉珍获得了金牌，水在同类运动员中是最高的，且设空处前有the修饰，故用high的最高级。选做题参考答案及解析参考答案1-4BBCA解析主题语境：人与社会一一科学本文是说明文。研究人员发现一种寄生蜂可以遏制侵害农作物的茶翅蝽的生长。1.B。推断。由第一段中的the brown.cherries and corn可推知，这种外来害虫以农作物和水果为食。

【评分细则】1.给予安慰(2分)2.指出Jim的错误(2分)3.提出意见（不少于两条）(8分)4.语言连贯、通顺、适恰(3分)5.若书写较差，以至影响交际，将分数降低一个档次。2.各档次的给分范围和要求档次描述完全完成了试题规定的任务：￥覆盖所有内容要点。￥应用了较多的语法结构和词汇。第五档语法结构或词汇方面有些许错误，但为尽力使用较复杂结构或较高级词汇所致；具备较强的语言运(13~15分)用能力。有效地使用了语句间的连接成分，使全文结构紧凑。完全达到了预期的写作目的。完全完成了试题规定的任务：×虽漏掉1、2个次重点，但覆盖所有主要内容。第四档*应用的语法结构和词汇能满足任务的要求。(10~12分)语法结构或词汇方面应用基本准确，些许错误主要是因尝试较复杂语法结构或词汇所致。*应用简单的语句间连接成分，使全文结构紧凑。炎律达到了预期的写作目的。基本完成了试题规定的任务：版虽满掉一些内容，但覆盖所有主要内容。第三档应用的语法结构和词江能满足任务的要求，(7一9分)￥有一些语法结构或词汇方面的错误，但不影响理解。应用简单的语句间连接成分，使全文内容连贯。整体而言，基本达到了预期的写作目的。未适当完成试题规定的任务：漏掉或未描述清楚一些主要内容，写了一些无关内容。第二档*语法结构单调，词汇项目有限。(4~6分)￥有一些语法结构或词汇方面的错误；影响了对写作内容的理解。￥较少使用语句间的连接成分，内容缺少连贯性。信息未能清楚地传达给读者。未完成试题规定的任务：明显遗漏主要内容，写了一些无关内容，原因可能是未理解试题要求。第一档￥语法结构单调，词汇项目有限。(1~3分)较多语法结构或词汇方面的错误，影响对写作内容的理解。*缺乏语句间的连接成分，内容不连贯。信息未能传达给读者。0未能传达给读者任何信息：内容太少，无法评判；写的内容均与所要求内容无关或所写内容无法看清。第二节【参考范文】The man heard a slight shake in Reuben's voice and could tell he was close to tears."Why do you need this moneyso badly?""It's a secret."The man took the sacks,reached into his pocket and put four coins in Reuben's hand.Reuben murmured a thank you and ran home.Then,holding the tin can in his hand,he headed for the shop."I havethe money.he told the owner proudly.The man went to the window and fetched Reuben's treasure.He wiped thedust off and gently wrapped it in brown paper.Then the shopkeeper placed the parcel (in Reuben's hands.Racing home,Reuben burst through the frontdoor."Here,Mum!Here!"Reuben exclaimed as he ran to her excitedly.Then he placed a small box in her work-高一英语试题参考答案-5

第一部分单句填空（共10小题；每小题2分，满分20分） 阅读下面句子，在空白处填入1个适当的单词或括号内单词的 正确形式。 滚动内容：英语5 Modules16 1.We live in a world in only the strongest can make it to the top. 2.The (surround)villages have been absorbed by the growing city. 3.He finally won his (free)after twenty years in prison. 4.Our demand for this product is steadily on in- crease. 5.Each star on the flag of the USA stands a state of the nation.

D.Observing some of the natives. 25.What can be learned about the penguins'living places? A.They are getting crowded and affected somewhat. B.They are turned into museums and ports. C.They are becoming wildlife research base. D.They are occupied by other marine life. 26.Why do the four women watch over the chicks? A.To calculate the penguins'hatching period. B.To record the penguins'breeding situations. C.To mark specific routes for visitors. D.To take better care of them. 27.【典型情境题】What's the best title for the text? A.The native colony of penguins:Antarctic

parents will still buy lots of unhealthy foods for their children. would Apart from that,such factors as lack of active exercise and bad living habit also contribute to obesity. habits

yard on tiptoe,he found his father was splashing something un- der his tree with a ladle ()He returned to his room,tears running down his face. Decades passed.The little boy didn't become a botanist,but he was elected President of the United States.His name was Franklin Roosevelt.

【答案】3640 CBDFG

试题答案 15 CBCAA 610 BBAAC 11~15 BCBAC 1620 CAACA 附： 听力部分录音材料 (Text 1) W:Oh,nearly 12 o'clock,time to leave the office.I am very hungry now. M:Me too.Which canteen would you like to go? (Text 2) W:Hi,John,what are you writing?A book? M:No,I am writing an email to my English teacher.I want to express how grateful I am to her for her great help.

Paragraph 2: After the long talk with the principal,Justin went back to his classroom.

一一俊陆P一ABC体积最大时，底面积最大，所以C到AB的距离最大，此时有AC(2)设点T(一2，)，因为直线A6的丹为1BC,设底面圆的圆心为O,连接OC,直线AB的方程为y一t=k:(x+2),件分别代即y=k1x+2k1+1,分别求出则OC⊥AB,又因为OC⊥PA,所以OC⊥面PAB,y=kx+2k,+1联立因为AB=PA=4,OC=2,y2=16x以O为原点，以OC,OB,OD分消去y并整理可得{x2+(4k+2k,:一16)x十3<0别为x,y,z轴建立空间直角坐(2k1+t)2=0,E标系，则0(0,0,0)，C(2,0,0),设点A(x1y),B(x为)，则x1>0且x>0.1<4k+2t-162B(0,2,0),D(0,0,2),A(0,-由韦达定理可得灯1十一2,0),4k十4k十设面ACD的法向量为n=(x,y,x),AC(2,2,0),CD=(-2,0,2),门所以|TA·1TB=(1十k)川x+2·1x+2=(1+)[x+2(x+)十4]=,即,即n=(1,(1+k)(2+32)1.1),同理，设面BCD的法向量为m=(2:),同理可得1TP1·TQ-1+(+32BC=(2,-2,0).CD=(-2,0,2).因为|TAI·ITB|=|TP·TQ,即(1+)(2+32)(1+)(+32),整理可得m。BC=02x-2y=0k则,即,即m=(1,m·CD=0-2x2十2z3=0=号，1.1),即(k:一2)(k1十k)=0,显然1一克≠0，故所以cos(n,m〉=-号即mam十k,=0.3X3因此k十k:为定值，定值为0.…12分22大团2L解：(1)因为f(x)=x2一ax+1、又△=a-4,3所以二面角A-C0-B的正弦值为3…B分当△≤0，即-2≤a≤3时，f(x)>0在R上恒成立，此时(c)单调递增：20.解：(1)因为动点M到定点F(4,0)的距离等于当△>0，即a<一2或a>2时，函数∫(x)=点M到直线x=一4的距离，一a.x十1的两个苓点为金生食言2处自所以轨迹C是以点F(4,0)为焦点，直线x=一4a-va-1atva-i为准线的抛物线，设轨迹C的方程为y2=2p.x(p>0),2则p=4-(-4)=8,所以轨迹C的方程为y2=16x,…5分(x)>0,f(x)单调递增S3名师原创模拟·数学理科答案第5页（共32贞）