B.儒家常将民生置于优先位图，孔子把民生问趣放在第一位，把粮食充足作为百姓信任君主的先决条件。C.儒家认为检验国家统治合法、合理的最终依据是民心所向，而只有盆民才能腐得民心，也才能“王天下”。D.儒家憧憬的“大同世界是养生丧死无憾的人间乐上，人民安居乐业又家庭富裕，即使残疾人也有所养。2.下列对原文论证的相关分析，不正确的一项是(3分)A.文章由程顾的话引出了四个分论点，具体阐释了为政之道中“顺民心和厚民生”的内涵。B.文章突出了民本思想，层层深入地论述了富民的紧迫性、重要性和必要性，说服力比较强。C.第四段用引用、对比、比喻论证，意在说明只有真正担起富民重红“治人者”才受人推崇。D.文章肯定了社会治理的成功与否可以从人民生活的品质与状态得到答案，具有辩证思维。3.根据原文内容，下列说法正确的一项是(3分)A.从孔子的多个论述中可知，孔子特别强调了富裕的物质生活，没有关注到百姓的褙神需求。B.儒家认为得民心时“治人者的统治才合法合理，否则不仅执政合法性不足，国家也将难安。C.孔子思想建立在“以民生”之上，孟子思想建立在“顺民心”之上，后者明显比前者更其总义。D.“富民、厚生论”是儒家对中国古代社会的最大贡献，其所追求的是社会整体与长远的利益。(二)实用类文本阅读（木题共3小题，12分）阅读下面的文字，完成4一6题。材料一：近期浙江省杭州市税务部」，经税收大数据分析发现网络主播黄微（网名薇娅）涉娘偷逃税款。经查，黄薇在2019年至2020年期间，通过隐匿个人收入、虚构业务转换收入性质、虚假中报等方式偷逃税款6.43亿元，其他少缴税款0.6亿元。相关部门对黄薇追缴税款、加收滞纳金并处罚款，共计13.41亿元。网红主播雪莉和林珊珊偷逃税被处罚，还在舆论场巾“发酵”。与悉尼和林珊珊相比，薇娅偷逃税数额更惊人，性质也更恶劣。薇娅被重罚，一方面是她偷逃税数额巨大，且持续时间长另一方面，她是明知故犯，“经税务机关多次提醒督促仍整改不彻底”。在这种情况卜，微娅被重罚，可谓求锤得锤”。国家对新业态一直持包容审镇的监管方式，绝不是管死，也不是不管不问，而是严格拿捏尺度。此次对薇娅的查处，不仅不会影响新业态的发展，还会推动新业态等经济形式迈上史合法、史有序的健康发展轨道。薇娅全网被封意义深远既警示网红个体节制贪欲，又有效遏制乃至仿沱出现类似偷逃税现象。既需要直播台严格把关，落实贵伍也需要相关行业强化白律，加强内部约束。多管齐下，各尽其资，网络带货才能迎来发展的春天，新业态才能更为良性发展。（摘编自茶川《薇娅偷逃税款被重罚，为谁敲响警钟》，“人民网”2021年12月)材料二：俭德是中国传统儒家文化中宝贵的精神财富。党的十八大以来，以高度策视和提倡坳劳节俭、反对暂侈浪费，一再警示全党和全国人民不能丢了坳俭节约的优良传统。

则8(0)=1+2k>0g(0)=1+2k>0g(1)=-k<0g(1)=-k=00<3+2<12解得k>0.综上，实数k的取值范围是(0，+∞).【解析】本题考查函数零点与方程根的关系，考查化归与转化、函数与方程及分类讨论的解题思想，考查推理论证与运算求解能力，属难题：(1)由f(1)=0即可求得a值：(2)f(3)+m90在[1，+∞）上恒成立，可化为-mn(3x-2-3+1在[，+o)恒成立，令t=3r换元，求出=-2+，1e0,月的最小值，即可求解实数m的取值范围：(3)方程03-业243*-13*-1-3k=0有三个不同的实数根，令t=3-1,则1>0.转化为t2-(3k+2)t+1+2k=0有两个不同的实数根t,12且4，<12.等价于01或0<4<1,42=1.记8(0)=1+2k>08(0)=1+2k>08()=2-(3k+2)t+1+2k,可得或8(1)=-k=0，求解得答案8(1)=-k<00<3张+2<12

D.How he keeps students motivated for the long run29.What does the underlined word "it"in paragraph 2 refer to?百师35.Which of the following can be a suitable title for the text?A.Safety.B.The concern list.A.The Key to SuccessC.The high standard.D.A volunteering program.B.Brave Minds Never Feel Down30.What do volunteering programs in Jaipur focus on?C.Reflections on School EducationA.Improving every individual's service.B.Winning respect for every volunteer.日明D.Failure Is the Mother of SuccessC.Enabling children to be better educated.D.Accelerating the independence of children.第二节（共5小题：每小题2分，满分10分）31.What is the text mainly intended for?根据短文内容，从短文后的选项中选出能填入空白处的最佳选项。选项中有两项为多余A.Advertising for volunteers.选项。B.Showing how to volunteer.Communicating with the clderly can often be challenging.However,there are techniques youC.Presenting the benefits of volunteering.can use.D.Introducing a volunteering organization.Be aware of the person's health issues.Older adults may have health problems that add difficultyDto speaking and understanding.36 For example,they may have hearing problems,speechWhen I was 27 years old,I went to leach seventh graders math.And like any leacher,I madeproblems,and memory loss.These factors complicate communication.quizzes and tests.I gave out homework assignments.When the work came back,I calculated grades.Pay attention to the environment in which you are communicating.Be sure to evaluate theWhat struck me was that IQ was not the only difference between my best and my worst students.Someenvironment in which you are communicating,which might have an effect on hearing and speechof my strongest performers did not have high IQ scores.Some of my smartest kids weren't doing soproblems.Is there any disturbing background noise?Are many people speaking in the same room?well.And that got me thinking.37 If you sense any disturbance,try to move to a more peaceful and quiet location.After several more years of teaching,I came to the conclusion that what we need in education is38 Older adults may have trouble hearing.Direct your speech at the individual's face-not toa much better understanding of students and learning from a motivational perspective,from atheir side.Do not eat your words:move your mouth and pronounce each word carefully and precisely.psychological perspective.In education,the one thing we know about how to measure best is 1Q.ButAdjust your volume appropriately.Learn to adapt your voice to the needs of the individual.what if doing well in school and in life depends on much more than your ability to learn quickly andEvaluate the environment and how it relates to the person's hearing abilities.39 Treat theeasily?individual with respect by articulating and speaking at a comfortable volume that is suitable for bothSo I started studying kids and adults in all kinds of super challenging settings,and in every studyof youmy question was,who is successful here and why?I studied new teachers working in really toughTake it slow,be patient,and smile.A sincere smile shows that you are understanding.It alsoneighborhoods,asking which will be the most effective at improving learning outcomes for theircreales a friendly environment in which to communicale.Remember to pause belween sentences andstudents?As a result,it wasn't good looks,physical health,and it wasn't IQ.It was grit().Gritquestions.Give the individual an opportunity to understand and digest information and questions.is working really hard to make your future a reality.Grit is living life like it's a marathon40To me,the most shocking thing about grit is how little we know,how little science knows,aboutA.Employ visual aids,if possible.building it.Every day,parents and teachers ask me,"How do I build grit in kids?What do I do toB.Speak clearly and make eye contact.teach kids a solid work ethic?How do I keep them motivated for the long run?"The honest answer is,C.Don't shout simply because the listener is older.I don't know.D.Avoid the confusion of mixed ideas and questions.What I do know is that talent doesn't make you gritty.In fact,in our data,grit is usuallyE.Ask the older adult if the place is comfortable for themunrelated or even inversely related to measures of talent.In other words,we need to be gritty aboutF.This is a particularly valuable technique if a person has memory lossgetting our kids grittier.G.Make sure you consider the person's health before you engage in communication32.In writing paragraph 1,the author aims to第三部分语言知识运用（共两节，满分45分）A.make a comparisonB.give a definitionC.reach a conclusionD.lead in a topic第一节完形填空（共20小题；每小题1.5分，满分30分）33.What can we learn from paragraph 2?阅读下面短文，从短文后各题所给的A、B、C和D四个选项中，选出可以填入空白处的最A.IQ decides your study performance.百师联盟试佳选项。B.Grit has nothing to do with your IQ.I attend an Art School in Southern California for Musical Theatre and have always pursued artisticC.Lack of talent is no reason for taking no action.pursuits throughout my life.I have also had a lot of 41 experience from working at food banks toD.We should study further on students and learning42 money to help patients suffering from blood cancer.All the things I mentioned above,are what34.What made the author most astonished about grit?43 me to pursue my favorite volunteering pursuit so far.A.Parents and teachers often ignore itB.We have little knowledge about it.The 44 that has been by far my favorite was the 45 I did last summer.I developed andimplemented a Musical Theatre Summer Camp at a local community center that 46 low-incomeC.Schools focus more about it than families.families.This camp allowed children,who wouldn't 47 have the opportunity,to gain a basic 48一轮复联考（四）全国卷英语试卷第5页（共8页）一轮复联考（四）全国卷英语试卷第6页（共8页）

信息五：均数中位数众数方差九年级一班82.5m90158.75九年级二班80.575174.75根据以上信息，解决列问题：(1)填空：m,=70(2)你认为哪个班级的成绩更加稳定，请说明理由：（3)在本次测试中：九年级一班甲同学和九年级二班乙同学的成绩均为80分，你认为两人在各自班级中谁的成绩排名更靠前？请说明理由y装以的九年数班崩或结更加绝立因九班的方差地九班的小茎我的乙同浮更指荔风为九年转班的的数比九心班的狗接的防七、（本题满分12分）2,如图，在口ABCD中，AC是一条对角线，且AB=AC=5,BC=6,E,F是AD边上两点，点F在点E的右侧，AE=DF,连接CE并延长，CE的延长线与BA的延长线交于点G.)如图1，M是BC边上一点，连接AM,MF,MF与CE交于点N,AE=多①若M为BC中点，求证：EN=NC;②求AG的长；(2)如图2，连接GF,H是GF上一点，连接EH.若∠HED=∠CED,且HF=2GH,求EF的长.山0记明AC形形和5印31C3AM AAEC94FC·lEAC九地0efW≌4mC0se城EN-IVC图2MAUC2AFDCDFIRC八、（本题满分14分）23.在面直角坐标系xOy中，点(2，m)和点(6，n)在抛物线y=ax2+bx(Q<0)上.(1)若m=4,n=一12，求抛物线的解析式；(2)已知点A(1,y),B(4,y2)在该抛物线上，且mn=0.①比较y,y2,0的大小，并说明理由；②将线段AB沿水方向移得到线段A'B',若线段A'B与抛物线有交点，直接写出点A'的横坐标x的取值范围:作4：九t0孙10(2心6，y4的城上s开的14时2b日牛X1-2-sapbb139o/490年所仿真极品试卷·数学（三）第4页

6.Traditionally【解析】考查副词。充当辅人语，应用副词，面你套李【治7.are held【解析】考点动词时态和语右。和主语celebrations以及状语every year呼应，可判断答案，8.rising【解析】考查现在分词，所修饰词reputtion是ise的发出者，放用现在分词作定语。9.to preserve【解析考查不定式。cdor1s霜和1odo搭配。分海地黄为生分这明分学是建，升立得形10.an【解析考查冠词。place是可数名词单数.而且初次提到，可判惭用不定冠词；再根据idel的读音，可判断答案为an。【葛本导读】本文是一高说明文，介绍了篇公英的食用价值和娱乐价值。1.which【解析】考查关系代词。分析句子结物可知，空格处引导非限制性定语从句，且引导词作从句的主语指代前面整个句子，所以应用which引导，放填which.2.it【解析们考查代词.此处为圆定结构：作形式主语.样◆车个年器中为产字】3.are considered【解析】考查被动语态。分析句子结构可知，空格处作句子谓语，结合句意，“在美国，循公英被认为是野草“，可知本题应用被动语态.且本句说的是现在的客观事实，应用一般现在时，主语是复数代词hcy.故填re considered。.4.foods【解析1考查名词复数。根据句意，痛公英是最有营养的食物之一，0ef十名词复数.表示“…之一”，所以本题应用名词复数，故填foods。5.a【解析】考查冠词。名词单数前面要用冠词，此处袭示泛指，所以填a。6.Besides光新阳报高、神游在面证密【解析】考查副词。前后逻辑上的递进关系为茶补信息。7.pleasure【解析考查词性转化。此处形容词后应使用名词。8.easily【解析】考查副词。分析句子结构可知，空格处作句子状语：应用副词.结合句迎，看种子在空中轻盈地漂浮·故填飞asly9.what【僻析】考查代词。分析句子结构可知，空格处为装语的主语。10.letting【解析】考查现在分词。根据句意，即使愿望不能实现，至少这种子飞得又远又广，让这种营养丰富的食物来源继续成长。分析句子结构可知，空格处作句子的结果状语，且动词le:与前面的句子是主动关系，应用现在分词.故填letting。五【篇章导读】本文是一篇说明文，介绍英国纽卡斯尔大学孔子学院课程开设以及学生学汉语及中国文化的现状。1.beneficial【解析】考查词性转化。此处系动词is后应用形容词作表语.放填beneficial。2.ranging【解析考查现在分词。此处为现在分词短语作后置定语，students ranging from9tol3~年龄从9到13岁的学生”.放填ranging。3.10ok月，过从图贸行两来带安得产争家失多【【解析】考查时态。由the other day可知，应该用过去式.故填1ook.4.achievement下校感联星2022届高考复全程精练·专愿卷（新高考）英语参考答案第11页

第二节书面表达One Possible Version:Boys and girls,To enrich the after-class activities of senior three students,the school English Club is goingto hold an English inspirational speech activity themed "My Growth Experience"in the schoollecture hall from 3 to 5 this Friday afternoon.The activity is arranged as follows.We have invited Li Hua,a schoolmate who graduated from Peking University,to deliver aspeech,in which he'll introduce his own experience of how he changed from a student who didnot love learning to a super learner.After the speech,there's a question-and-answer session.He'll answer the questions raised by the audience.All senior three students are welcome to attend on time,and we believe you'll certainly getsomething from the activity.(118 words)The English Club(一)评分原则1.本题总分为25分，按5个档次给分。2.评分时，先根据文章的内容和语言初步确定其所属档次，然后以该档次的要求来衡量，确定或调整档次，最后给分。3.词数少于80和多于130的，酌情扣分。4.评分时应注意的主要内容为：内容要点、应用词汇和语法结构的丰富性和准确性及上下文的连贯性。5.拼写与标点符号是语言准确性的一个方面。评分时应视其对交际的影响程度予以考虑。英、美拼写及词汇用法均可接受。(二)内容要点1.时间地点(7分)；2.活动安排(8分)；3.表达希望(6分)。4.适当发挥(4分)。(三)评分标准第五档(21一25分)：完全完成了试题规定的任务，完全达到了预期的写作目的一覆盖所有内容要点。应用了较多的语法结构和词汇。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；具备较强的语言运用能力。英语试题答案第2页（共3页）

所以k=f'(-1)=3,(10分)》所以直线12的方程为y=3x,即3x-y=0.(12分)【评分细则】1.如有其他解法若正确，也给满分；2.第(1)小题l1的方程也可写成y=3x-8,第(2)小题l2的方程也可写成y=3x,19.解：(1)因为C的右焦点为F(√6,0)，所以a2+b2=6,(1分)》因为C的一条渐近线经过点D(√2,1)，所以名方4=2,3分)ra2+b2=6,由得a2=4,b2=2,(4分)a2=2b2,所以C的标准力程为号-专-1.5分)(2)假设存在符合条件的直线1，易知直线1的斜率存在，设直线1的斜率为k,A(x1,y),B(x2,y2),则-号=1，浮-兰=1，两式相减得--2（行-》7分》y由题雅得出-6，兰花分8分)因为4B的中点为P(2,),所以1+=4，+为=2所以6×子=3，=1，(9分)直线l的方程为y-1=x-2,即y=x-1,（10分)把)=-1代入号-号=1得-4标+6=0.(1分)该方程没有实根，所以假设不成立，即不存在过点P(2,1)的直线l与C交于A,B两点，使得线段AB的中点为P.（12分)【评分细则】如有其他解法若正确，也给满分20.(1)证明：因为fx)=n(ex)+】=1+lnx+1,x>0,所以()=，2分)当x∈(0,1)时f'(x)<0,f(x)单调递减，当x∈(1，+0)时，f'(x)>0,f代x)单调递增，(4分)所以fx)≥f1)=2.(5分)(2)解：因为g()--)=号-a1+nx+)所以g2-仕a--0,分)x2x2数学第4页（共6页）

三步一体高效训练讲评解析：(1)若选①，如图（一），因为BP=1,EC=4,所以DE=2,CP=3,E礼记D在△ADE和△XP片.0-=号，∠ADE=∠XP=90.所以△ADE△IXP.所以∠DEA=∠CPD,所以∠ODE+∠OED=90°，即AE⊥DP,所以翻折后的∠D'OP为二面角AB图（一）,0p=11⑤D'-AE-B的面角，即∠DOP=60°，因为D0=455√+1-2x49××-.所以D'P=V5+55551若选@，如图(-).因为5n-1,BC-4,所以DE-2,CP-3,在△ADE和△DCP中，把-5-号∠ADE∠DCP=90°，所以△ADE△DCP,所以∠DEA=∠CPD,所以∠ODE+∠OED=90°，即AE⊥DP.点D在面ABCE的投影落在AE上，所以点D在面ABCE的投影为O,因为D0=45,Op=35-45_115,所以Dp55D0+0p-√+罗/685=6855(2)直线L与面D'AB不垂直，理由如下：如图（二），延长AE,BC交于点Q,则面D'AE与面D'BC的交线I即为直线D'Q.由(1)知，可建立图（二）所示的空间直角坐标系，国为A0-85.D0=45,00-0E+E0=25+45=255∠D0p=120,所以A85,0.0,B2,1250,0、-25,2压.5’55Q-2250,0.所以店=(-65,125,0，A=(-85,-25TA15555图二)2压).D0=（-225,25,2压)，设面DAB的法向量为m=(,55555+5y0y,之)，则,令x=2,则y=1,之=33，所以法向量m=(2,1,33).因为D夜与m不行，529+2=5-5所以直线1与面D'AB不垂直.【24新教材·ZCYK·数学-RB-选择性必修第一册-N】10

基础点14面向量的数量积及其应用高霸9烤答案见P26怎么解题(2022年全国甲卷)设向量a,b的夹角的余弦值为7，且a=1,b=3,则(2a+b)·b=》链接教材内容（新人教A版必修第二册P60T9)已知向量a与b的夹角为30°，a=√3，b=2:,求a+b,a-b的值.【考查点】本题考查面向量的数量积.【腾远解题法】第一步：根据已知求解a·b1因为a=1,b=3,cos(a,b〉=3,所以a·b=(面向量的教量积公式)=1x3x兮=1第二步：求解(2a+b)·b故(2a+b)·b=[2]+b12=2×1+32=[3]腾远原创好题教材改编题建议用时：10分钟1.(新人教A版必修第二册P24T18改编)已知a=4,b=3,且(a+2b)⊥(a-b),则cos〈a,b>=月c。号2.（新人教A版必修第二册P21例12改编)已知向量a=3,b=4,a,b的夹角为60°，则向量a+2b在b上的投影为月19C.2D.103.(新人教A版必修第二册P31例7改编)已知a=(4,√2)，b=(1,t),c=(-√2,1)，且b⊥c,则a+2b=A.3B.3√2C.33D.364.新考法增强开放性·结构不良（新人教A版必修第二册P24T18改编）已知a=(2,1),b=(-3,1),从①(2a*c）(2a-c)=16:②b,e）=5bc=10:③c1(a+b),且ac=25中任选一个，则|c|=61

第四部分【写作提示】升入四年级后，作者被老师告知他的阅读理解能力和单词发音能力要低于其他同学。经测试，作者被诊断有诵读困难。虽然医生安慰了作者，也给出了克服诵读困难的建议，但作者在了解了诵读困难的一些相关信息后，并没有信心能克服写作诵读困难，也因此对自己的未来充满了恐惧和担忧。1.根据续写第一段的首句可知，作者的父母第四部给作者带来一本关于克服人生挑战的书。作者从中受到鼓舞了吗？作者按照医生的建议尝试克服诵读困难了吗？成功了吗？本段可围绕这些内容展开叙述。2.根据续写第二段的首句可知，几年后，当写作者在同一家医院做志愿者时，一个有阅读障碍的女孩让作者给她读一本书。作者是怎么做的呢？小女孩有什么反应？作者有何感受？本段可围绕这些内容展开叙述。One possible version:They brought me a book about some peoplebeating off life challenges.They read it together四部分with me every day.Gradually,I was confident anddetermined that I would overcome my own lifechallenge.Based on Dr.Waites'suggestions,I setout to remove my dyslexia.Each day,I kept写作reading aloud,remembering words,doing sports,etc.Besides,I went to hospital for speech therapyregularly and my parents supported me.Finally,I overcame my learning disability.Dr.Waitesconfirmed this when I was tested again.Several years later,when I volunteered at the same四部hospital,a girl who had dyslexia asked me to read abook to her.I read the book very slowly so that shecould understand the story and the words.When itcame time for me to leave,the girl thanked me.Iwalked out of her room with a huge smile on my写face.I had overcome my disability and was helpingothers to overcome theirs.I am determined tosucceed in life,and in the process,help others facegand conquer the challenges that I have overcome.本WRITING TIPS其余参考They went into my room to take away mylaptop.I was upset and angry,but they hadmade up their minds.Finally I gave the laptop to答案them unwillingly.6

Myrtle Beachu are looking for coastal views and oceanic adventures.hplace for you!This city is known for its amazing beaches and adventures that offpsthe most forgettabe mmorics.A ide varety ofSan AntonioSan Antonio is a great place to visit for a combination of American history and moderattractions.Favored wetivities inelude the City SSYoutoSant beondVreLake Tahoeake Tahoe is known for its amazing and luxurious(奢华的）ski resorts..For those whthe Get Outdoors in Lae esust This gorgeousgenatural wonders,amazing shows,and lodging to suit your needs.21.What is the purpose of this text?A.To introduce the function of VME.B.To show how to be a good planner.C.To explain how to book a vacation.D.To recommend some popular destinations.22.Which destination attracts people interested in the winter sports?A.Lake Tahoe.B.Nashville TN.C.San Antonio.D.Myrtle Beach.23.What do the four destinations have in common?A.They host wonderful shows.B.They have many amazing wonders.C.They have interesting activities.D.They offer different choices for lodging.乃Nicholas Alston,27,was barely a year into working as a flight attendant(空乘人员)whenthe pandemic influenced the travel industry.By November 2020,due to budget cuts anddecreased service,he had taken a voluntary leave of absence.Alston once worked as a clerk in a food processing factory before becoming a flightattendant in 2019.So when the pandemic slowed his flying schedule,he took it as a sign torevisit his goal of opening a restaurant-a passion project of his since college.In December 2020,he launched his very own restaurant business-Clutch HandheldBreakfastaonperson operation that he ran fromsed ghost kitchenr a cookingfacility that produces food only for delivery and takeout with no dine-in areas.In May 2021,Alston returned to flying full-time and kept a busy schedule:He wouldeproork a the Detoit MetroAirpFrdaysfyound eothohTudayDetotand mmdigo toCoiswhichheOperatedomThursdayadFidaymornings,Alstonintcndedohcreaehsyinghoursi8avemoney and move onto the next period of his business plan:Buying a food trailer.heeedbackne bit ofAlston says of his business plan.Eventually,he hopes to grow Cutchmore employees and expand into new loentions,So far,the best learning experience has beering positive feedback from his customers,which keeps him motivated.He says,my passind of these days,it'sgoing to be a profitable business.24.(易错题)Where did Alston work before20197A.In a restaurant.B.In a travel agency.C.In an airline company.D.In the food industry.新长村版·考商信息卷·第三辑类通国、

高三一轮复·数学·高三一轮复周测卷/数学（二十六）一、选择题BC,所以在正方体ABCD-A1B1CD1中，与AB1.C【解析】由题可知①的总体中的个体数较少，宜采成60°角的面对角线共8条，因此所求概率为P=用简单随机抽样，②中高中三个年级学生英语听力水8×122XC2品故选D存在较大差异，层次比较明显，宜采用分层抽样.故选C.2.A【解析】，事件A和事件B不能同时发生，.事件A和事件B是互斥事件；·该同学还有政治和化B学、政治和生物等不同选择，∴.事件A和事件B不是对立事件.综上所述：事件A和事件B是互斥事件，D不是对立事件.故选A.3.C【解析】因为3x1+2023,3x2+2023,3x3+B2023,3x4+2023的均数为3×3+2023=2032，8.B【解析】①举反例：0,0,0,4,11，其均数x=3<方差为32×1=9.故选C.4,但不符合入冬指标；②假设有数据大于或等于10，4.D【解析】观察折线图可知甲同学体温的极差为由极差小于或等于3可知，则此组数据中的最小值为36.8℃一36.4℃=0.4℃，故A选项正确；乙同学体10一3=7，此时数据的均数必然大于7，与x<4矛温按从小到大排成一列：36.5℃，36.5℃，36.6℃，盾，故假设错误，则此组数据全部小于10，符合入冬36.6℃，36.6℃，36.7℃，36.7℃，乙同学体温的众数指标；③举反例：1,1,1,1,11，均数x=3<4,且标1为36.6℃，中位数为36.6℃，均数为五=7×准差s=4,但不符合入冬指标；④在众数等于5且极(36.5×2+36.6×3+36.7×2)=36.6℃，故B选项差小于等于4时，则最大数不超过9.符合入冬指标.正确；乙同学的体温波动比甲同学的体温波动小，极故选B.差为0.2℃，也比甲同学的小，因此乙同学的体温比二、选择题甲同学的体温稳定，故C选项正确；将甲同学的体温9.ABC【解析】概率只是说明事件发生的可能性大从小到大排成一列：36.4℃，36.4℃，36.6℃，36.6℃，小，其发生具有随机性，故A选项，B选项，C选项错36.7℃，36.7℃，36.8℃，因为7×75%=5.25，所以误，D选项正确.故选ABC.甲同学体温的第75百分位数为36.7℃，故D选项错10.ABC【解析】对于A选项，事件“都是红色卡片”是误.故选D,随机事件，故A选项正确；对于B选项，事件“都是5.C【解析】由题意可得360：280：200=9：7：5，所以甲蓝色卡片”是不可能事件，故B选项正确；对于C选付g+9+5×65=27号（钱），乙付g+7+5×65=97项，因为只有2张蓝色卡片，从中任取3张卡片，所以事件“至少有一张红色卡片”是必然事件，故C选21号〔钱)，丙付g++5×65=15品（钱)，所以选项5项正确；对于D选项，事件“有1张红色卡片和2张蓝色卡片”是随机事件，故D选项不正确.故C中的说法错误.故选C选ABC.6.B【解析】依题意，20组随机数中，表示三天中至少11.CD【解析】由图表可知，2021年华为公司在亚太有两天下雨的随机数有：446,072,021,392,325,405，地区营收额比2020年低，故A选项错误；180819631,700,305,311,共10组，所以三天中至少有两天131467=49352百万元，39664-29225=10439下雨的概率约为8-号·故选B百万元，故B选项错误；2021年华为公司在国内的7.D【解析】正方体ABCD-A1BCD,的面对角线营收额占比64.9%，故C选项正确；636807×共12条，易知△ABC,△ABD1均为等边三角形，19.1%-891368×8.1%≈49429百万元，即因为AD∥BC,AC∥A1C,BD∥BD,AD1∥494.29亿元，故D选项正确.故选CD.·131·

学生用书名师导学·新高考第一轮总复·数学【走进高考】所以当=0时，y=2有兼大值-1.1.C[解析]取a=2,b=1,满足a>b,n(a-b)=0,知A错，排除A;2x-2因为9=3>36=3，知B错，排除B;取a=1,b=一2，满足a>b,1=训练巩固|a|<|b|=2,知D错，排除D,因为幂函数y=x3是增函数，a>b,所1.C[解析]因为a>2,所以a-2>0,以a3>b,款选C.1第4讲基本不等式所以m=a+。是2=(a-2)+。2+222+2√a-2)·。高=4，【基础检测】当且仅当a=3时取等号，故m∈[4，十o∞).1.(1)×(2)×(3)×(4)×(5)×(6)/由b≠0得b>0,所以2-<2，所以22-2<4，即n<4,故n∈(0,4.综上可得m>n,故选C.2.店[解析]解法-：因为a>0,b>0,4a+b=1,所以1=4a+b>2.D[解折]当m十n=2时，11+311m+n+32硒=4压，当且仅当a=6=号，即a=日，6=是时，等号成立.m+1n+2m中市+n+2+1=m：+2+1所以V历<号aK品，则b的最大值为=(m+1)·(m+2万+1.解法二：医为+6=1，所以b=子·4a·6≤子（如士）=，当:m+1.+2≤(t+lt2)-空，2且仅当如=b=合，即a=名，6=合时，等号成立，所以6的最大值当且仅当m十1=十2，即m=号，m=合时取等号，为品故选D.3.25[解析]设矩形的一边为xm,例2C[解析]因为a>0,b>0,且a十b=2,则另-边为分×(20-2.x)=(10-x)m,所以安-1，y=x10-x≤[+00-2-25，所以县+品-是a+(2+六)=是空+品+受）当且仅当x=10-x,即x=5时，yas=25.4D儿解折]图为>0，所以y=3-3x-士=3-(3红+）<3≥2×(2+)=号，42V红·工=8一-2，当且仅当3x=,即x=9,等号成立。当且仅当a=子，b=号时，等号成立训练巩固故选D.5.22[解析]由题意可知m十n=1,3.8[解折]由x+2y一=0，得2+1=1，且x>0,y>0.x y又因为2m>0,2>0,所以2m十2≥2√2m·2m=2√2m+m=2w2,当且仅当2m=2",即m=n+23=+2)×(是+号）-+号+≥4+4=8，=合时等号成立.当且仅当x=2y时等号成立，所以2m+2"的最小值是2√/2.®329[解折]因为正数，满足z2十6-1=0，所以y63[解析]设x+2=4,则x十车2=1+冬-2（x>0,又由≥2得≥4，面面数y=十年-2在[2，十∞)上是增函数，因国光(6x当1=4，即=2时计兰-2即z十2取得最小值，最小值为4十会-等+>8√停·正-2，当且收当号-用-号号-2=3.时取等号，故十2的最小值为【知识要点】训练巩固1.(1)a>0,b>0(2)a=b4.2[解析]解法一（换元消元法）：2.(1)2ab(2)2x十y十xy=3,3.两个正数的算术均数不小于它们的几何均数【关键能力】8+0=告)，例(1)C[解析]y=4x(3-2x)=2·2x·(3-2x)即(x十y)2+4(x十y)-12≥0，令t=x十y,则t>0,<2(2+8)°=是∴.t2+4t一12>≥0，解得t≥2，x+y的最小值为2.当且仅当2x=3-2红，即x=子时取等号，解法二（代入消元法）：当x=是时=号由叶y十8得x>0,y>0,(2C解折]：<号∴3z-2<0,.0

第6章数列学生用书第36讲数列的综合应用【课标要求】1.会利用数列的函数性质解与方程、不等式、解析几何相结合的数列综合题.2.掌握相关的数列模型以及建立模型解决实际问题的方法.基础知识夯实教材知识整合【基础检测】A.388B.7721.一百零八塔，位于宁C.1540D.3076夏吴忠青铜峡市，是3.已知数列{an},若a+1=an十a+2(n∈N),始建于西夏时期的喇则称数列{an}为“凸数列”.已知数列{bn}为嘛式实心塔群.该塔“凸数列”，且b1=1,b2=一2，则数列{b}的群随山势凿石分阶而建，依山势自上而下，前2024项和为()第一阶1座，第二阶3座，第三阶3座，第四A.-4B.-5阶5座，第五阶5座，从第五阶开始塔的数C.1D.-1目构成一个首项为5，公差为2的等差数列，4.小李年初向银行贷款M万元用于购房，购房总计108座，故名一百零八塔.则该塔的阶贷款的年利率为p,按复利计算，并从借款后次年年初开始归还，分10次等额还清，每年数是(1次，则每年应还()A.10B.11C.12D.132.1772年德国的天文学家J.E.波得发现了求A洛万元太阳和行星间距离的法则.记地球距离太阳B.Mp(1)0的均距离为10，可以算得当时已知的六大(1+)0二7万元行星距离太阳的均距离如下表：C.M1+p)”万元10星名水星金星地球火星木星土星与太阳的距离47101652100n兴万元除水星外，其余各星与太阳的距离都满足波【知识要点】得定则（某一数列规律）.当时德国数学家高1.数列综合问题中应用的数学思想斯根据此定则推算，火星和木星之间距离太(1)用函数的观点与思想认识数列，将数列阳28应该还有一颗大行星.1801年意大利的通项公式和求和公式视为定义在正整数集或天文学家皮亚齐通过观测，果然找到了火星其有限子集{1,2，…，n}上的函数和木星之间距离太阳28的谷神星以及它所(2)用方程的思想处理数列问题，将问题在的小行星带.请你根据这个定则，估算出转化为数列基本量的方程。从水星开始由近到远算，第10个行星与太(3)用转化化归的思想探究数列问题，将阳的均距离大约是)问题转化为等差、等比数列来研究.175

第二十二章二次函数(4)如图④，若点P在直线BC上方，过点P作PQ∥y轴交x【思维教练】设出，点P的坐轴于点E,交直线BC于点Q,作PG⊥BC于点G,若Q为BG标，先根据行于y轴的直的中点，求点P的坐标.线的坐标特征，表示出PQ的长度，再利用勾股定理表示出PQ的长度，从而建立等量关系，求解即可EB例题图④针对训练1.如图为二次函数y=ax2+bx+3(a≠0)的图象，已知该图象经过点(2,3).(1)求该二次函数的解析式；(2)设该二次函数的图象与y轴的交点为A,顶点为B,点P为x轴上一动点，当PA+PB的值最小时，求点P的坐标；(3)在同一坐标系内，若该二次函数的图象全部在直线y=2x+2m-1的上方，求m的取值范围.几何画板动态演示马织0第1题图尚花线段和最值问题45

第十四章整式的乘法与因式分解微专题11因式分解438考建议用时：15分钟易错分点练四、因式分解还是整式乘除4.分解因式：一、提公因式后，“1”不能丢(1)(5a+3b)2-(3a+5b)2;1.分解因式：(2)(a+1)3-2(1+a)2+a+1.(1)x2-2xy+x;(2)m2(m-2)-2m(m-2)+(m-2)二、公式法中的系数你能识别吗五、分解彻底了吗2.分解因式：5.分解因式：(1)4(a+b)2-1;(1)x2y4-x6;(2)36x2-48xy+16y2.(2)m4-18m2+81;(3)x2(x-y)+9(y-x).三、提取正确的公因式3.分解因式：(1)-4m4n-16m2n3-16m3n2;(2)6a(1-b)2-2(b-1)2.101

分46.A.skippedB.runC.wanderedD.slipped47.A.surveyedmell ouch,te vund.Chinmantdrove earrching for their o peta.When they thanked uking careB.lookedC.decidedD.described48.A.suitbranch from the Chinese rentherhile the purpose i和D)中，B.walkC.breakD.fit67(preserve)health.of the dog,I felt very happy.49.A.permissionB.hesitationC.doubtD.question50.A.disgustingisa perfect combination of colr,hapeappear )andB.confusingC.brightD.dryvor.Deliciousdiouoodbeetforny第二节书面表达（满分25分）.Ohio,in51.A.obviouslyB.hardlyC.lightlyD.severelylife厂假定你是李华，来自澳大利亚的交换生Tom在周末逸街时，发现Williams,52.A.noticeB.searchC.feelD.strikeChinese cuisine honrdide6)很多商铺门上有过年时贴的春联。他对光非常多兴惫，8进一步了解化粪池)，53.A.attemptsB.studiesC.ideasD.invitationsrichnd deligeerneisnd贴春联(spring couplets)这一中国春节俗。请根据提示给他写一封r 13-year-54.A.leftB.strongC.goodD.injuredeating custom in ec egion h prdced dihendkith电子邮件，内容包括：55.A.pickedB.liftedC.pushedD.puttheir own 70 (characteristic)1.介绍贴春联的俗（时间、地点、内容、意义等）2.其他found the56.A.breathB.troubleC.sorrowD.control注意：1.词数100左右；opening.57.A.placedB.lainC.sentD.carried616263.2.可以造当增加细节，以使行文连贯；46 in58.A.headB.chestC.backD.foot64.65.66.3.开头和结尾已给出，不计入总词数。59.A.drownB.coughC.cureD.recover>6869Dear Tom,who could60.A.attractiveB.impressive70s,“LowerC.modestD.considerateI'm glad that you are greatly interested in the Chinese spring cou-题号1234567891011121314得分评卷人第四部分：写作（共两节，满分35分）pletsthat答案题号1516171819202122232425262728ce of the答案第一节短文改错（共10小题；每小题1分，满分10分）his little题号2930313233343536373839404142下边一篇短文中共有10处错误。请你进行修改，每句中最多有两53答案题号4344454647484950515253545556处。错误涉及一个单词的增加、删除或修改。d.“Pull答增加：在缺词处加一个漏词符号（八），并在此符号下面写出该加ison had题号57585960的词。答案删除：把多余的词用斜线()划掉。ay from修改：在错的词下画一横线，在空处写出改正后的词。is side,得分评卷人第三部分：英语知识运用（共两节，满分45分】注意：1.每处错误及其修改均仅限一词；after the第二节（共10小题；每小题1.5分，满分15分）2.只允许修改10处，多者（从第11处起）不计分。heard阅读下面材料，在空白处填入适当的内容(1个单词)或括号内单On my way home from school last Friday,I saw a little dog on the词的正确形式。iencedFor those who travel to China,the scenic spots and ancient civilizationmadeare 61(attract)things,and so is Chinese food and drink.Like music,sidewalk looking hopelessly.I was held it firmly up in my arms,took itdance and painting,eating is also an art in China and Chinese cuisine62 (list)as one of the top in the field of world cuisines.home and feed some milk to it.However,my mom was unwilling to keepNobody could tell exactly how many restaurants a specific city has,letalone the roadside eateries (63 (distribute)in streets andthem,saying there was enough pets for us,two cats and a dog.I begged myYours,back lanes.Wherever you would like to eat,in the restaurants 64 theLi Huaroadside eateries,make sure that the restaurant is clean and the food hasmom not to let it go.Finally,we agreed that it would be deciding by mybeen 65(fresh)prepared and is hot.Chinese regard eating as an art,66 is a comprehensive combination ofdad,whom didn'tretu home from work.Just then the girl and her father【群力压轴卷·2023届高三第三次·有听力英语试题·第4页（共4页）】

22.(1)由题意，f)的定义域为(0，+o),f(x)=4--x=--4r+a,2因为fy)=4x-alnr-x2-2有两个极值点，k,2所以方程f'(x)=0即x2-4x+a=0在(0，+0)上有两不等实根，.4即函数g(x)=x2-4x+a在(0，+∞)上有两不同零点，因此只需g(0)=a>08(2)=4-8+a<0'解得00,则h(a)单调递增：当a∈(a,4)时，h'(a)<0,则h(a)单调递减：所以h(a)≤h(a)=(1-a)lna+a-2=lna-alna+a-2=lha+a-3,.10又y=lna+a-3在a。∈(1,2)上显然单调递增，所以lna。+a-3

选择性必修一UNITS4-5阶段检测参考答案及部分解析参考答案1-5 BCACA6-10 CBABA11-15 CACAB16-20 BCBAC21-25 CDCDA 226-30 ABCDA31-35DBAB036-40 FBGCE41-45 ADCBB46-50 DACDA51-55 BDCAB56.covered57.was given58.a59.results60.which61.falling62.to survive63.there64.lower65.possibility写作第一节One possible version:

英语一参考答案、提示及评分细则听力部分录音稿(Text 1)M:It's Friday already.Jim's supposed to come back today.Why isn't he here yet?W:Oh,he decided to put off his return date.He'll be back the day after tomorrow.(Text 2)W:Sir,does the rent cover all the expenses,including the use of electricity and heating?M:Yes,but you have to pay extra for parking.(Text 3)W:How was your flight,George?M:Thanks for picking me up.I had a sound sleep during the flight,just like at home.W:No wonder you look so refreshed.We can head for the company directly.(Text 4)M:I'm starving,have you got lunch ready?W:Not yet,I have been working at my desk all morning and I'm too tired to cook.M:That's OK.We can order takeout food.(Text 5)M:Guess what?I'll start my new job next month.W:That's great.Congratulations..M:Thank you for always supporting me.(Text 6)M:What have you been doing these days,May?W:Nothing.I'm just taking classes in art.M:Is it painting class?W:Not really.I'm learning how to write Chinese characters.M:You are very smart and perseverant.Speaking Chinese is hard,let alone writing Chinese characters with awriting brush.W:It does take a lot of practice.My teacher is in his late fifties.He never loses temper easily for my slowprogress,though and he makes it fun to study.M:Will you show me a little?W:Not until I'm better at it.I just started last month.(Text 7)M:Hello,this is customer service.What can I do for you?W:Hi,I recently returned an office chair.I'm just calling to ask you when I will be able to get my money back.M:When did you return it?W:A week ago.M:According to the rule,our company will pay back the money within five days of us receiving the returned item.W:Oh,I see.Have you already received the returned goods?M:Just a minute,please.Let me check.Oh,it arrived two days ago.I'll arrange for you as soon as possible.(Text 8)M:Molly,tell us about your business.W:Well,I sell women fashion clothes designed by myself through a website.M:Did you have any sort of training in design?W:No one taught me.As you can see,I'm very tall and I couldn't find clothes that fit me in ordinary shops,soI started making my own.M:How did you get started in this business at such a young age?W:When I was in university,some classmates got to know I made my own clothes.They liked my styles somuch that they asked me if I would make clothes for them.So I started my business at that time.M:Really,that's unbelievable!I know your business grew rapidly after graduation.Do you intend to open aphysical store?【一联试卷·英语参考答案第1页（共4页）】4

21.如图，在面直角坐标系中，一次函数y=:+b的图象经过点A(-2,6)○且与x轴相交于点B,与正比例函数y=3x的图象相交于点C,点C的横坐标为1，(1)求k、b的值：y3(2)请直接写出方程组-y=-b的解：3x-y=0(3)若点D在y轴上，且满足Sc=Sc,求点D的坐标.y=ka斗b1第21题图0(9國9,数.4到8风0:49价下S的4，*郑深12本之A六、（本题满分11分）22.已知甲种水果单价为30元/千克，若一次性购买甲种水果超过40千克，超过部分的价格打长八折、某经销商购买甲种水果x千克，付款y元，y与x之间的函数关系如图所示，(1)直接写出图象中a的值，并求y与x之间的函数表达式：(2)若乙种水果单价为25元/千克，该经销商计划一次性购进甲、乙两种水果共80千克，且甲种水果不少于30千克，但又不超过50千克.如何分配甲、乙两种水果的购买量，才能使经销商付款总金额w(元)最少？最少付款金额是多少？r(元)众-9期0i5-104.1..9点张兰风。2图0七（以安议04050x千克)a产民，t什，州40第22题图w铁nm293.9-以5广0好六小七、附加题（本题满分5分，但全卷总得分不得高于100分）23.若关于自变量x的函数y2x-3引-2a的函数值始终大于yx+a的函数值，则a的取值范围为八年级数学试题卷第4页共4页

n【解题分析】连接AM,AN,如图所示CG是MN的中点，MaG=(A成+A=2(A+号AC+A+号AM)-号A市+A+A心B根据题意知AG=xA店+yAA十zAC,x十y十z=号尼斯【答案】C线有深5.设点M(x,1),若在圆O:x2+y2=1上存在点N,使得∠OMN=45°，则x,的取值范围是BA.[0,1]旬的距B.[-1,1]c[-号16+8v43D.to.分析】【解题分析】依题意，直线MN与圆O有公共点即可，3即圆心O到直线MN的距离小于或等于1.过点O作OA⊥MN,垂足为A.在Rt△OMA中，：∠OMA=45°，:P的轨OA1=1OM血4S°-号1OM<1,OM0),设直线x十√3y-√3=0与两坐标轴的交点分别为A,B.若圆0上有且只有一个点P满足|AP|=|BPI,则r的值为A.1B司C.√2吗题：本题【解题分析)由题意，不妨令A(/5,0),B(0,1D,AP=BP,点P在线段AB的垂直分线上，k=-河得5)5A1,费段AB的中垂货的斜率为B,线段AB的中点坐标为C停，之》，,2）六线段AB的中垂线的方程为y一名-5（红-气），化简得y=3x-1】设:在圆O:2+y=2上满足条件的点P有且仅有一个，、.直线y=3x-1与圆相切，…r=d-√3十=2D【答案】B7.布达佩斯的伊帕姆维泽蒂博物馆收藏的达·芬奇方砖，在正六边形上画出具有视觉效果的正方体图案（如图1），把三片这样的达·芬奇方砖组成图2的组合，这个组合表达了图3所示的几何体若图3中每个正方体的棱长为1，则点A到面QGC的距离是图1图2图3AB.2c号D.3134

their ancestors and clean the weeds from around the tomb.Final- ly,they kowtow and pray,hoping for their ancestors'blessing for the rest of the year. Spring outing.The time around the Qingming Festival is one of the most suitable seasons for a spring outing,as plants are thriving and flowers are blooming.People can have a great time outdoors with their friends and family.38 During the holiday,people usually eat some special food. Qingtuan,also called Qingmingguo or Aiguo,is a green rice ball tiny enough to fit into your hand. 39 It is a mixture of sticky rice powder and green plant juice,stuffed with sweetened bean paste.Qingtuan tastes sweet with the fresh fragrance of Aicao,a green spring plant.In celebration of Qingming,people from Shaanxi make steamed buns,known as Huamo,made into differ-

2023-2024学年考试报·高考数学文料专版答第15期面解析几何或-6.①高考链接9.D解析：设L,:2x-3y+1=0,l2:4x+3y+5=0,l:m.x-y-1=0,1A解析：由题可知圆心为(a,0),因为直线是圆的对称轴，所以圆心在直线上，即2a+0-1-0,解得a-2易知，与，交于点A(-1,-了)，过定点B(0,-1)因为山山不2.6解析：易知圆(x+2)+y2=3和曲线y2=2px关于x轴对称能构成三角形，所，∥八，或，L,或，过点A.当∥1，时，m=34不妨设切线方程为)=kx,k>0,所以21=V3,解得k=当L,∥1，时，m=当过点时，m子所以实数m的取值集V1+k2p合为子{,故选D项V万，由V5解得0或23所以IOP=10.A解析：如图，设直线与已知圆交于A,B两点，所求圆Y =2px=0.2V3p的圆心为C.由题意得，过已知圆的圆心与点C的直线与已知直y=3线垂直.因为已知圆的标准方程为(x-1)+y=1,圆心为(1,0)，√(2卫9-8，解得p6当-V3时，同理可所以过点(1,0)且与已知直线x+2y-3=0垂直的直线方程为y32x-2.令x=0,得C(0,-2).联立方程x+y-2x=0与x+2y-3=0可求得故答案为：6出交点A(1,1),故所求圆的半径=AC=V1+3=V0.所以所3.2(2,-2,2-2中任意一个皆可以）解析：设点C到求圆的方程为x+(y+2)=10,即x+y+4y-6=0.直线AB的距离为d,由弦长公式得MB=2V4d,所以Sam=d2V47=8,解得4.45或42Y555,由d1+1,所以245或2V1+m V1+mVItm5V1+m32V，解得m=2或m=±5114解析：由题意，得歌，V3②名校统考-,∴.∠BPD=30,.∠BDP=31.B解析：由题意得，圆心到直线的距离d=V(-(V2)60°.在Rt△B0D中，1OB=2V3,.IOD=2.取4B的中点H,连=V2=2+1-,解得-2接OH,则OH⊥AB,.OH为直角梯形ABDC的中位线，.1OC1=v21ODI,.'.ICDI=210DI=2x2=4.2.D解析：因为点4(1,2)在圆x+y=5上，故过点A的圆的切线方程为+23=5令0得-号令)=0.得=5故5，=7×号3.-2解析：因为直线x+=6与圆相切，所以12.4解析：将圆C:x+y+2x-4y+3=0整理可得(x+1)+(y2-1-6152)2-2,由圆心(-1,2)在直线2ax+by+6=0上，得=a-3,则点(a,+V2,所以所求圆的方程为(-2+(+1-b)向圆所作的切线长d=(V(a+1)+(b-2)了)2-2=2a2-8a+24=4.3解析：(x-3)+(y-3)=9是一个以(3,3)为圆心，3为2(a-2)+16,故当a=2时，切线长d有最小值4半径的圆，圆心(3,3)到3x+4-11=0的距离为d=Bx3+4x3-1Ⅲ513解：设∠AM0为0.则0e0.受).2,所以作与直线3x+4y-11=0距离等于1的直线，会发现这样的32直线有两条（一条在直线的上方，条在直线的下方)，上面的.'IMIsin 0'N那条直线与圆有两个交点，下面的那条直线与圆有一个交点，故612所求的点有3个..IMI-IN=-3综合检测n0cos0sn2g≥12，1.B解析：直线y=x+1恒过定点(0,1)，又点(0,1)在圆当且仅当n201,即0=严时，等号成立，(x-1)+y=4的内部，故直线与圆相交此时h=-1,.直线的方程为y-3=-(x-2),即x+y-5=0.2.C解析：因为点(1,3)和(-4，-2)在直线2x+y+m=0的两侧，所以(5+m)(-10+m)<0,解得-50,.当a-2≥0，即a≥2时，点Q到点M距离的最8.A解析：直线y=3x+c向右移1个单位长度再向下移小值为2a-I:1个单位，移后的直线方程为y=3(x-1)+-1,即3x-y+c-4=0.当a-2<0,即0

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1Unit3~英语2Unit5 1.It is strange that you think that I did it. 2.It was a surprise to me that I seemed trapped in a large maze. 3.The church was built there had once been a Ro- man temple. 4.All kinds of (tradition)craft industries are pre- served here. 5.Every day is a chance for improving our life,and it's up us to best use it.

to do it again so we can all go to camp (Text 9) M:What's your plan for the summer holiday,Amanda? W:I want to spend a month on my uncle's farm in New York. But my mother wishes me to go to Beijing,China. M:Why does she want you to go to Beijing?Does she want to travel round the city with you? W:No.My mother is from China.She wants to send me to Bei- jing to live with my grandmother,hoping the holiday will teach me a lot about Chinese culture. M:Well,do you want to go there? W:No.It's usually very hot in summer there.I guess I'll tell my mother that I'll go to Beijing in the fall.It's usually very com-

【答案与解析】 作者主要介绍了自己的英语老师Ars Roos,以及她的教学态 度。 41.A 我遇到了一些将学生看作个体的老师，他们关心学生的需 要。 42.B我最初对她的教学印象很深刻，她的教学并不是千篇一律、 枯燥乏味的。 43.D 44.C她不希望进行粗放地教学，不把我们当成是为了达到某种 标准而批量生产的产品一样。 45.D 46.B 她认为我们每一位都处在为将来塑造自我的过程中。 47.C 她花时间单独了解我们。

of disseminating disaster prevention knowledge and raising public awareness. Japan in the 1960s thus began actively taking measures to support both the physical and institutional safeguards against disasters,with particular attention being placed on disaster pre vention.These efforts have greatly reduced the number of people who die or become missing as a result of natural disasters.The declining trend is still continuing,and the number has fallen to between 100 and 200 per year in recent years. 28.What causes relatively more natural disasters in Japan? A.Japan's masses of islands. B.Japan's location. C.Japan's large population.

along,rather than classical roles,Shakespeare and so on,al- though of course I do find those wonderful. W:I remember seeing you play many big parts.You must have had lots of words to remember.How can you manage that? M:It was a gift originally.I've always had a sort of photographic memory,right from my earliest childhood.My subject at uni- versity was history actually,for which a memory is basic. W:Some of your theater performances have been recorded and shown on TV.Have you ever watched them? M:I've always avoided watching myself anyway.Though I'm satisfied with my performance on stage,I still feel foolish 1 to see myself on TV.It makes me feel strange and embarrassed. W:OK,thank you very much,Peter.

22.Why did the author operate carefully while his father was teaching him to drive? A.To pass the road test. B.To show his driving skill. C.To avoid making him angry. D.To avoid hitting people. 23.How did his father finally feel after listening to the author's explanation? A.Angry. B.Satisfied. C.Nervous. D.Worried. 24.What can we know about the author's father? A.He is talkative. B.He is humorous. C.He used to be helpful. D.It's hard to get his praise.