121+-7N116k4+24k2+9…9分12当k=0时，S△OMw=712当k≠0时，SAOMN=1+7916+京+24~16+是+24≥26·是+24=48，当且仅当6=±时等号成立。号<50≤3综上号≤S。w≤3，所以△0MN的面积的取值范围是号，]…12分22.解：(1)令t=√x+I,t>0,则f(x)≤ax即2lnt+t-1-a(t2-1)≤0，t>0令g()=21nt+t-1-a(2-1),t>0,则g'()=2+1-2at=-2at+t+2t>0t若a≤0，则g'(t)>0,此时g(t)在(0，+∞)内单调递增，g(1)=0,所以t>1时，g(t)>0,不符合题意；若a>0,则由g'()=0得，=-1-个+16a_1+1+16a-4aAa当x∈(0，to),g'(t)>0,g(t)单调递增；当x∈(to,+∞)，g'(t)<0,g(t)单调递减.因为g(1)=0,所以当to>1或者t<1时，g(to)>0,不符合题意；当。=1时，g(0)≤g()=g(1)=0,符合题意，故++16a=1,解得a=21…6分(2)要证0

11.一个不透明箱子中有大小形状均相同的两个红球、两个白球，从中不放回地任取2个球，每次取1个.记事件A为“第i次取到的球是红球（i=1,2)”,事件B为“两次取到的球颜色相同”，事件C为“两次取到的球颜色不同”，则（▲）A.A与A,互斥BP4)=月c.P(4IC)-D.A,与B相互独立12.f(x)是定义在R上的奇函数，且满足f(-2x+4)=-f(2x),当0≤x≤1时，f(x)=2-1,则下列选项正确的是（▲）A.4是函数f(x)的一个周期B.x=1是函数f(x)图象的一条对称轴20C.函数f(x+2)是偶函数∑[(k+1)·f(k]=-2024非选择题部分三、填空题：本大题共4小题，每小题5分，共20分。把答案填在题中的横线上。13.(1+x)(2-x)4的展开式中x2的系数为▲.（用数字作答）14.已知变量x和y的统计数据如下表：-2-1012y5?221由表中的数据得到线性回归方程y=-x+2.6，那么当x=-1时残差为▲(注：残差=观测值-预测值)1反己知函数)-c0(@x名Xo>0在区间(2]上有且只有3个零点，60则0的取值范围是▲一·16.己知△ABC为正三角形，其边长是2，空间中动点P满足：直线AP与面ABC所成角为60°，则△PBC面积的最小值为▲·高二数学学科试题第3页（共6页）

away21.A.reservedB.causedC.witnessedD.indicated22.A.cutting downB.throwing awayC.picking upD.looking for23.A.readyB.excitedC.upsetD.embarrassed24.A.expectationsB.detailsC.signalsD.warnings25.A.heading our wayB.coming to mindC.coming into effectD.taking its place26.A.constantB.alarmingC.temporaryD.normal27.A.disappearedB.matteredC.changedD.boomed28.A.anywhereB.outdoorsC.somewhereD.indoors29.A.hallB.houseC.balconyD.room30.A.shoneB.circledC.spreadD.traveled31.A.botheredB.followedC.targetedD.allocated32.A.resultB.trickC.darknessD.battle33.A.mixedB.replacedC.combinedD.surrounded34.A.promiseB.signC.storyD.share35.A.natureB.societyC.designD,chance36.A.insteadB.thereforeC.thoughsomehon37.A.matchB.presentC.thoughtsD.storms38.A.saferB.betterC.quieterD.warmer39.A.amazedB.concernedC.upsetD.good40.A.giveB.putC.driveD.send【答案】21.B22.C23.A24.D25.A26.A27.D28.C29.B30.D31.A32.C33.B34.D35.A36.C37.D38.B39.A40.C【解析】【分析】这是一篇夹叙夹议文，讲述了作者在经历暴风雨时的感悟。【21题详解)考查动词词义辨析。句意：大雨、强风和多次闪电造成了洪水泛滥，甚至刮倒了树木。A.reserved预定；B.caused导致；Cwitnessed见证；D.indicated表明。结合常识和“Heavy rains,,strong winds,and lots of lightening had_-I_-flash flooding and even swept down trees.”可知，大雨、强风和多次闪电导致了洪水。故选B项。【22题详解】考查动词短语辨析。句意：我花了一下午的时间捡树枝到院子外面。A.cutting down砍倒；B.throwing away扔

上期参考答案七年级下学期期中综合测试题-、1.C2.A3.B4.D5.B6.A7.D.18B9.D10.C二、11.2712.①②13.34°14.y=8x+0.215.-2.16.15°三、17.（1)原式=-12x-4x2;(2)原式-3x2+4x-3x+3x2-2+2=3x-2.18.因为A=75°∠C=105°，所以∠A+LC=180°所以AB∥CD.因为∠AEF=60°，所以∠EFD=LAEF=60°.19.(1)3.6(2)由图，知2一3h的速度为(3015)÷(3-2)=15(km/h)15+（2.5.=2）×1522.5(km/h).故填22.5(3)由图知0一1h的速度为15÷1=5(kmlh)12÷15=0.8(h)56b的…

養餐安微省2023年中考仿真极品试卷·数学（一】注意事项：1.本试卷满分为150分，考试时间为120分钟.2.本试卷包括“试题卷”和“答题卷”两部分.“试题卷”共4页，“答题卷”共6页，3.请务必在“答题卷”上答题，在“试题卷”上答题是无效的，4.考试结束后，请将“试题卷”和“答题卷”一并交回一、选择题（本大题共10小题，每小题4分，满分40分）每小题都给出A,B,C,D四个选项，其中只有一个是正确的.C1.-3的相反数是BC.3D.-3B2.据统计，2022年合肥市的GDP在120亿左右，数据1200亿用科学记数法表示为A.1.2X1011B.1.2×1012C.12×101D.0.12×101)3.如图是一个空心圆柱体，其俯视图是正面月4计算一·（一）的结果是A.xB.-x10C.6D.-xB5如图，AB/CD.BE生A点E,∠DCF=,则∠EGA.a+459FB.a+90°C.180°-aED.270°-2aC6.已知在一次函数y一2十1的图象上有两点A(-一1)，B(a),且y>y,则满足条件的最大整数a的值是A.1B.0C.-2D.-37.“二十四节气”是中华上古农耕文明的智慧结晶，“大雪”“冬至”“小寒”“大寒”是一年中最后的四个节气.现有“大雪”“冬至”“小寒”“大寒”四张邮票（如图），小文将它们背面朝上放在桌面上（邮票背面完全相同)，让小乐从中随机抽取一张（不放回），再从中随机抽取一张，则小乐抽到的两张邮票恰好是“大雪”和“大寒”的概率是20202(AB号D.吉8.已知三个实数a,b,c,满足a+b十c=5,a+2b-c=1,且a>≥0，b≥0，c≥0，则2a十b+7c的最小值是A.20B.22C.24D.26仿真极品试卷·数学（一）第1页

四、解答题：本题共6小题，共70分.解答应写出文字说明、证明过程或演算步骤17.(10分)已知数列{a},a1=1,ra-+1=2(n+1)2a,且b=2a.1-a…(1)求数列(a的通项公式；(2)求数列{b}的前n项和T·t,羊(h1,0=801nz2,4a-18Q:号分数专张，坐，的5白牛等车金的水年@职米事0国中处器有数业名：时的克天来容的已千某四程容出就，营的内留名的自底塔18.(12分)已知△ABC的内角A,B,C的对边分别为a,b,c,且cos2B-cos2C=sinA·(sinAsin B).封(1)求角C的大小；(2)若CD⊥AB于点D,CD=√3，求△ABC的面积的最小值.长有一0，xie页1≤，01y遇欧5线1≤ne且1>9,0>TE且1>.0E8.0E个大护夹4已D限卡一（一d·0且指，n量向出单当全圈10所名校最新高考冲刺卷第4页（共8页）【23·（新高考）高考样卷·数学（二）一】

bills and change.It was obvious that she didn't have enough 47.So she 48 somemuch-needed goods,setting them aside.The child's items 49 in the cart,however.Thewoman finally paid,and moved down to 50 them.When my turn came,I put into my cart theitems that the woman had51out,whispering(低语)“Separate bags,same bill please”to thecashier.Then I secretly put the extra bag into the woman's cart without being 52.Just as I put thebag in the woman's cart,I 53 a twenty-dollar bill that I had not placed in there."You putthat money in there,didn't you?I asked the cashier with a laugh 54 the woman pushedher cart out of the door.55,he shook his head."No,it was the woman who stood behindyou.I stuck my twenty at the bottom,he added."That was so nice of both of you!I smiled.41.A.studiedB.impressedC.recognizedD.admired42.A.excitedB.tiredC.curiousD.happy43.A.prettyB.unusualC.cheapD.pricy44.A.screamedB.laughedC.whisperedD.called45.A.truthB.costC.reportD.news46.A.countingB.savingC.givingD.picking47.A.patienceB.timeC.moneyD.food48.A.gave upB.took overC.put awayD.picked up49.A.changedB.shookC.survivedD.remained50.A.shapeB.packC.organizeD.choose51.A.left9workedC.takenD.made52.A.caughtB.punishedC.deliveredD.scheduled53.A.placedB.noticedC.imaginedD.expected54.A.beforeB.unlessC.sinceD.after55.A.CarefullyB.ThankfullyC.SurprisinglyD.Gracefully第二节（共10小题；每小题1.5分，满分15分)阅读下面短文，在空白处填入1个适当的单词或括号内单词的正确形式。Tibetan antelopes live on the plains of Tibet,Xinjiang and Qinghai.Today they are 56danger.Over the past years,people 57(hunt)antelopes illegally for their valuable fur.The1980s and 1990s were bad times for the Tibetan antelopes,when the population 58(drop)bymore than 50 percent.Hunters were shooting antelopes to make profits.Their habitats werebecoming smaller as new roads and railways were built.In order to save Tibetan antelopes from extinction,the Chinese government placed 59(they)under national protection.Volunteers would watch over the antelopes day and night60(keep)them safe from attacks.Bridges and gates were added to let the antelopes move61(easy)and keep them safe from cars and trains.The measures were 62(effect).Theantelope population recovered and in June 2015,the Tibetan antelope was removed from theendangered species list.63,the government doesn't intend to stop the protection programsand will continue to protect the Tibetan antelopes.Much is being done to protect wildlife,but if we really want to save the planet 64 welive on,we must change our way of life.Only when we learn to exist in harmony with nature canwe stop being 65 threat to wildlife and to our planet.第7页

三、体大题共2小题，每小题8分，满分16分)2x-1≥515、解不等式组：①{;>x-1②时一用梁中节2x+1本车第健蛋二的同不示害限个00时的示火求的个西联)图级班的镇事对的休1个防中班的阳的个西0个16化‘a”t0-子i4以02-20+1层道个国M点0州，=OM,1地，的分0d个2,0个个1营心单个对才向递西尚讲，醉长灰的0-S)+。▣（保面水二该5Q换N0害点用坐比0：点一微山代略(1≥x1)童团二长四、（本大题共2小题，每小题8分，满分16分）县州心码的的17.意大利著名数学家斐波那契在研究兔子繁殖问题时，发现这样一组数：1,1,2,3,5，8,13,,现以这组数中的各个数作为正方形的边长，依次构造一组正方形，再分别从000左到右取2个，3个，4个，5个正方形拼成如下的长方形，并记为长方形①，长方形②，长方形③，长方形④到半面点啊个度、面晚始弟回个一点图识鼠4心1式食心圆六半用区联面面哪图1点中Ok比合8以营1点千女8已规律探究：图2顺(1)如图1所示，第8个正方形的边长为(2)如图2所示，相应长方形的周长如表所示，序号①②③周长④⑤61016若按此规律继续作长方形，则x=。y拓展延伸：y=圆周1每(3)按一定规律排列的一列数，10,102,10,10,10,10，，若x、少z表示这列数中的连续三个数且x

基础点26椭圆高霸51考答案见P55怎么解题1.(2018年全国1卷)已知椭圆c:+1的-个焦点为(2,0)，则C的离心率为a24A16.22C.2D.223【考查点】本题考查椭圆的离心率.【腾远解题法】第一步：由焦点坐标求c由椭圆的一个焦点为(2,0)，可得c=2,且焦点在[1]轴上第二步：由椭圆方程及c求a由椭圆方程可得b=[2]则a=√B23c2=[4]第三步：求离心率故C的离心率为e=C=[5]a之(2022年全国甲卷)椭圆C+1(a>6>0)的左顶点为A,点P,Q均在C上，且关于y轴对称，若直线AP,AQ的斜率之积为4，则C的离心率为A.32B.2C.12D.3【考查点】本题考查直线与椭圆.【腾远解题法】第一步：设点P,Q的坐标并代入椭圆方程依题意A(-a,0),设P(x1,y1),Q(-x1,y1),y1≠0.2则=1,即a2-x7=[1]第二步：求kAP·kA0因为·60=0.-0三片2[2]xta-xta axa第三步：求离心率所以e=31(+或-63[4]117

6.已知集合A=a,6c,d,ey,B=2,3),:A→B为从A到B的函数，且f)=1有两个不同的实数根，则这样的函数个数为A.50B.60C.70D.807.已知a=2.57,b=6+1,c=1.1,则A.a

装羊列建多边形的地板2022-2023学年度第二学期期末初中教学质量监测A正抗边形和正八年级数学试题卷C广八边形和正方9这，6是关于x的A2018一、选择题（本大题共10小题，每小题4分，共40分）L君二次根式金一了在发数范留内有意义，则的取值后围在黄轴上表示正骑的是(A0图。E方形0A于点E:过点D作Mm/0,山，A.(s0AB-401284-101234c(停oLLLLD-L-101234-101234370二、填空题（本大2下列运算，结果正确的是(2X731把方程22◆12.如下国是A5-3=2B.3+√2=3vZD.6x2=2N3时修只玻第杯的内C,6+2=3刘3某学校实我基地加大农场建设，为学生提供更多的劳动场所.该实我基地某种流菜2020年的年产黄为60了克，2022年的年产量为135下克。设该种藏第年产量的均增长率为x,则符合题意的局程是BA.60(1+2x0=135B.60(1+x)2=13SC60(1+x)135D.60+60(1+x)+60(1+x)2=13513把直线y4着-个多边形的外角和等于360，那么它一定是（月)是A四边形B.五边形C.六边形D.无法确定14如图，5在音乐比赛中，经常采用这样的办法米得到一名选于的最后成绩：将所有评委的打分组成组数据，则AQ+PQ的去转一个最离分和一个最低分，得到组新的数据，再计算均分，假设评委不少于10入，则比较三、（本大两短数据，定不会发生变化的是（C15.计算：A均数B.中位数C.众数D.方差解26如图，一棵大树在离地面3m,5m两处折成三段，中间一段AB恰好与地面行，大树顶部落在离大树底部6m处，则大树折断前的高度是（了）树A.9mB.14mC.11mD.10m7某航空公司有若于个飞机场，每两个飞机场之间都开辟一条航线，一共开辟了15条航线，则这个航空公司共有飞机场()A5个B.6个C7个D.8个八年级数学试卷第1页共6页

盐城市、南京市2022一2023学年度第一学期期末调研测试高三英语参考答案1-5CABBB 6-10BCCAA 11-15CCABB 16-20CBBCA21-23DBA 24-27DDCB 28-31ADBC 32-35CACA 36-40CEGBD41-45ABADC 46-50CDDBA 51-55ACCDB56.jiontly57.is comprised 58.featuring59.works60.shares61.a62.whose63.on64.to reward 65.powerful写作第一节Dear editor,I'd like to recommend the famous saying"A journey of a thousand begins with a single step."to your column.It was wisely put by Lao-Tzu.Whatever we do,we must take the first step which pave theway for our ambition.Moreover.we still need to make continuous efforts to go further regardlessof countless of hardships.As a senior,we should keep motivated and move on.I'll appreciate it if the saying is included in the column.(80w)YoursLi Hua第二节When told the cost,the woman's face paled.She opened a worn-out change purse,counting small bills and change.With a deep breath,she scanned her groceries to see what shecould do without.One by one,she removed things,but she still came up short.She continued toget rid of much-needed goods while the cashier patiently took away things with a pleased at Smile,setting them aside.The woman finally cut back on her groceries,paid,and moved down to packthem.(75w)I approached the cashier and whispered "Include her removed items in my bill,please!"She nodded knowingly,winking at me and finishing the transaction.I moved next,wonderinghow to slide the extra things into her old cart.The cashier solved the problem by "accidentally"dropping several oranges which flew past the lady."I'll get those,"the woman offered kindly topick up the runaway fruit.I quickly finished our plan.Then,my thoughts wandered to the ladywho was enjoying a hearty delicious dish with her little girl.(75w)

高一期末模拟考试卷62013一02年全国地镇害掉位业人及年均工贤及名义增商如图所示则013-2022年金国城镇私营单位软业人员年均工斑及名义增数学年均工资元70000增%6000013.85000113注意事项：4000821.答题前，考生务必将自已的姓名、考生号、考场号、座位号填写在答题卡上。300002回答选择题时，选出每小题答案后，用铅笔把答题卡上对应题目的答案标号涂20000黑。如需改动，用橡皮擦干净后，再选涂其他答案标号。回答非选择题时，将答案写在一兔对值10000答题卡上。写在本试卷上无效。03.考试结束后，将本试卷和答题卡一并交回。4.本试卷主要考试内容：人教A版必修第一册至必修第二册。A,2022年全国城镇私营单位就业人员年均工资未突破60000元B2013一2022年全国城镇私营单位就业人员年均工资名义增速逐年递减一、选择题：本题共8小题，每小题5分，共40分.在每小题给出的四个选项中，只有一项是符合C,2013~2022年全国城镇私营单位就业人员年均工资名义增速的40%分位数为8.1%题目要求的.如D,2013一2022年全国城镇私营单位就业人员年均工资名义增速的65%分位数为8,8%1.为庆祝“七一”建党节，某文化馆举办“喜迎建党节·奋进新征程”文化艺术展，文化馆计划从18名女志愿者、12名男志愿者中选调10人加强文化艺术展讲解工作，若按照性别进行分层7.已知a=log7X1og33,b=1og215-10g25,6=209,则随机抽样，则应抽取的女志愿者人数为A.bacB.b>caC.a-b-cD.c>b>aA.7B.38.如图，在曲柄CB绕C点旋转时，活塞A做直线往复运动，连杆ABC.6D.42.若奇函数f(x)的图象经过点(3，-11)，则f(一3)==4cm,曲柄CB=1cm,当曲柄CB从初始位置CB。按顺时针方A。AA-11B.11向旋转60时，活塞A从A。到达A的位置，则AA=C.-3D.33.已知集合A={(x,y)川xy∈N+,y1,则“f(a)=2”是“a=1”的2二、选择题：本题共4小题，每小题5分，共20分.在每小题给出的选项中，有多项符合题目要A.充分不必要条件B.必要不充分条件求.全部选对的得5分，部分选对的得2分，有选错的得0分.C.充要条件D.既不充分也不必要条件9.已知O为坐标原点，点A(-1,1),B(1,3),AB的中点为C,则5.中国是瓷器的故乡，“瓷器”一词最早见之于许慎的（说文解字》中.某瓷器如图1所示，该瓷器A.Ai=（-2,一2)B.C的坐标为(0,2)可以近似看作由上半部分圆柱和下半部分两个等高（高为6c)的圆台组合而成，其直观图如图2所示，已知圆柱的高为20cm,底面直径AB=10cm,底面直径CD=20cm,EF=C.OA⊥ABD.Oi,0C的夹角为416cm,若忽略该瓷器的厚度，则该瓷器的容积为10,将一枚质地均匀的骰子抛掷一次，记下骰子面朝上的点数，设事件A=“点数为4”，事件B=“点数为奇数”，事件C=“点数小于4”，事件D=“点数大于3”，则A.A与B互斥B.A与C互斥C.B与D对立D.C与D对立1,将函数y=09x图象上所有点的横坐标缩短到原来的子，纵坐标不变，再把得到的图象向左移个单位长度，得到函数fx)的图象，则图1图2Afx)=cos(4红+0)Bf)的最小正周期为受A.669πcmB.1338x cmC.650x cmD.1300xcm'Cf()的图象关于直线x=一对称D.f(x)的图象关于点(0)对称

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·数学·参考答案及解析12.ABC【解析】61一(19+18+14)=10，中国队除3,x=3,人外，剩余7人得到10分，存在10名球员存在都有作出函数f(x)的图象和直线y=得分的可能，故A选项正确；中国队除3人外，剩余1x3x≠3，7人得到10分，若极差为17，则剩余7人最低得分m(m∈R),,关于x的方程f(x)=m(m∈R)恰有3为2分或最高得分为31分，这两种情况都不存在，个不同的实数根x1,x2,x3,不妨设x1

13当3时：M-N=3(+2)-1-3x+1=651当3下<3时：3

Why do people feel love?38 We survive as children because of thelove our parents or caregivers provide for us.Love is usualy how we areFall ereated in the first place,so we wouldn't be herThe coolest thing about making art is that it's第二部Scientists have found that love also has sevrelieve stress and lower blood pressure.Actually,the elose familfun!>le liv第三部分Then Robert gave each of us a bag of cookiesGmore.39and thanked us for 55 him.We were all veryWith all the talk about love,maybe someone you care about is on youmind.How can you show someone you love them?There are plenty ofhappy.ways!You can express love by showing thanks,giving praise,being a goodlistener or giving a hug ()40 If you care about someone.tell them阅读so.Making a card or writing thema letter c also be great wyA.Love comes in many forms.语言运(B)55.A.respectingB.helpingB.What actions make you feel loved?C.Of course,words work just fine,too!C.encouragingD.rescuingD.Can you guess what we are talking about?E.The love between couples is quite different from that between friendsF.That's because love is part of what humans need in order to live on.G.Thus,spending time with loved ones can also make people live longe第一节阅读下面短文，从每题所给的A、B、C第二节阅读下面短文，在空白处填入1个适当的单第D四个选项中选出可以填入空白处的最佳选项。第词或括号内单词的正确形式。One day,my friends and I were drawing withcrayons.Robert,who owns a bakery(面包店)inScientists have looked at both human comfort分our community,came and said,"I'm going to分and the cost-benefit analysis (of using fans41 some cookies to raise money for anand air conditioning (AC)and discovered ways toorganization that protects the forests.Can you语stay cool and still 56 significantly (significant)draw something about the 42 on the cookie言运reduce greenhouse gas emissions(排放).bags?"According to the International Energy Agency,(D)41.A.drawB.pack C.shareD.sell用air conditioning and electric fans account for a fifth(C)42.A.communityB.shopof 57 global (globe)electricity consumptionC.forestsD.crayons额).第We all 43 and started drawing.I've alwaysScientists found that by combining (indoorloved drawing pictures and was filled with 44.Idrew a tall tree that I often saw when my family第三部分fans and AC,it is possible 58 to keep (keep)went camping in the forest.After I 45 I lookedhumans comfortable indoors in hot weather while分at others'drawings.Bob drew a beautiful flower.reducing dependence on AC.If the approach wasKate drew a pretty bird.When I looked at Daniel'sused in Australia,the yearly emissions and cost语drawing,there was 46 an amazing lakecould 59 be cut (cut)by 70 percent.surrounded by trees.The model they created to compare energy use(A)43.A.agreed B.focused C.clapped D.struggled(A)44.A.excitementB.admiration言运and emissions used five 60 programs (program).用One used just air conditioning,and 61 the otherC.doubtD.praisefour had fans at different speeds and the use of AC(C)45.A.wonB.leftC.finished D.appeared(B)46.A.justB.evenC.stillD.yetgonly when the temperature 62 got (get)too high.One minute ago,I thought my drawing was just第47 But compared with others'drawings,myBy modeling temperature data for the wholedrawing seemed the worst.I was 48Australia,they found the one with the fastest fan“Hley,boys and girls,”Robert asked,“how's63 creating (create)airspeed flows of 1.2 metersit49?”分第三部分per second had a reduction of 76 percent in energy“You have to see Daniel's picture,”I said..“It'sthe50!”use.语言运Professor Ollie Jay said,"By increasing indoor(A)47.A.fineB.fancy C.important D.famous(B)48.A.curious B.upset C.nervous D.confused语言运air movement with fans,you can feel the same at ahigher temperature 64 as you will do at a lower(C)49.A.workingB.adaptingtemperature using an air conditioning unit.This isC.goingD.changing65what most people can do to reduce the⑧(D)50.A.fastest B.easiest C.biggest D.best⑧emissions in Australia."“This is a real5l_,”said Robert.He then第一节第三部looked at the rest of our drawings and said,"I52 all of your drawings.Please try not to 53假定你是李华，近日收到英国好友Eric的邮件Since everybody has 54 styles and tastes,他询问你五一假期期间参加的中学生海洋探索项目的活动情况。请你给Eic回一封邮件，nobody has to agree about what makes a piece ofart good.四部分内容包括：语1.写信目的；(D)51.A.achievementB.decoration2.主要活动及收获等；C.designD.beauty写3.询问Eric到爱丁堡的研学情况。(B)52.A.gatherB.loveC.reserveD.show注意：写作词数应为80左右。角(C)53.A.comment B.stopC.compareD.correct(A)54.A.differentB.crazyC.unforgettableD.new

8.设a=1.7,b=tan1.1,c=2ln2.1,则A.a0,01时，f(x)>0,则A.f(1)=0B.f(x)是偶函数C.f(x)在(0,1)上单调递减，在(1，十∞)上单调递增D.不等式f(x+3)-f(2)<6的解集是(0,1)12.半正多面体亦称“阿基米德体”“阿基米德多面体”，是由边数不全相同的正多边形为面的多面体.某半正多面体由4个正三角形和4个正六边形构成，其可由正四面体切割而成.在如图所示的半正多面体中，若其棱长为1，则下列结论正确的是A该半正多面体的表面积为21yB该半正多面体的体积为23212C,该半正多面体外接球的表面积为号D.若点M,N分别在线段DE,BC上，则FM+MN+AN的最小值为√I9三、填空题：本大题共4小题，每小题5分，共20分.把答案填在答题卡中的横线上13.已知圆C:x2+y2+2x-4y十a=0的半径为3，则a=▲14.设{an}是等比数列，且a1十a4=7,a3十a6=21,则a,十ao=▲15.现将6本不同的书籍分发给甲、乙、丙3人，每人至少分得1本，已知书籍A分发给了甲，则不同的分发方式种数是▲·（用数字作答）【高三数学第2页（共4页）】

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忻州市2022~2023学年第二学期期末教学质量监测七年级英语参考答案听力录音部分一、情景反应本题共5个小题，每小题你将听到一组对话。请你从每小题所给的A、B、C三幅图片中，选出与你所听到的信息相关联的一项，并在答题卡上将该项涂黑。1.W:Hi,Jeff!Can you play the piano?M:Yes,I can.I play it every day.2.W:Do we have any rules in the library?M:Yes.We have to be quiet first.3.W:How's the weather in Taiyuan now?M:It's raining.4.W:May I take your order?M:Yes.I'd like some dumplings,please.5.W:What did your brother do last Wednesday,Jack?M:He went boating with my family.二、对话理解本题共5个小题，每小题你将听到一组对话和一个问题。请你从每小题所给的A、B、C三个选项中，选出一个最佳选项，并在答题卡上将该项涂黑。6.W:I want to walk to the zoo this Sunday.Is it far from here?M:Yes,it's about 5 kilometers.I think we can ride there.Q:How does the boy want to go to the zoo?7.W:Look at these cute animals!My favorite animals are koalas.How about you?M:I like lions best.Q:What are the boy's favorite animals?8.W:Hi,Dick!How was your weekend in the countryside?M:Oh,it was boring for me.But my mother thought it was interesting.Q:What did Dick's mother think of their weekend?9.W:Hello,Jack!Did you go to the cinema with Bill yesterday?M:No,Cindy saw the film with me.Q:Who did Jack go to the cinema with yesterday?10.W:Would you like a cup of tea,sir?M:No,thank you.A cup of orange juice for my friend,please.Q:What does the man mean?【英语·参考答案第1页（共3页）】·23-CZ261a·

不存在学札全国©©所名校高三单元测试示范卷(c√3)，过点F的直线1交双曲线C的右支于P,Q两点，当1垂直x轴时，△EPQ的面积为633.的料率存在(1)求双曲线C的方程.=0(2(2)若点M满足F市=Q,证明：存在两个定点A,B,使得AM1一BM为定值，并求出这个定值定点(5红BC过【解题分析11)设因为点EV厅，3)在双曲战C的渐近线上，所以3-名万，即名=5，所以台=2当直线1毫直直x轴时，PQ1二28=6a,所以△EpQ的面积为号×6a×12a-3=6-35,即aX2a一/3=2-B,因为c>3且a>0,所以a=1,6一5，所以双曲线C的方程为2-等-1…4分(2)设点M2m%),P(1),Q(x2,2),西1>1，x2>1.设直线1的方程为x=m心十2，与双曲线C的方程2-苦=1联立，整理得(3m2-1)y2+12my十9=0，则3m2-1≠0,4=(12m)2-36(3m2-1)=36(m2+1)>0,整理得m≠3由根与系数的关系得n十g=27于是十=m(+为)十416-2注意到国十>2，于是3高>2，解得m<子一4又点M类足-成浙以便事n+2=3m2-14-12m=3m21(uF两武相除得m-3片+2)代入消去m得号》-1(>0》.因此点M的轨迹是以（一4,0），(4,0)为焦点，实轴长为4的双曲线的右支。由双曲线的定义可知，存在两个定点A(-4,0),B(4,0)(或A(4,0),B(-4,0)使得1|AM1一|BM|=4,即该定值为4.…………12分21.(12分)的取值范且已知抛物线E:y2=2x(p>0)的焦点为F,M,N分别为E上两个不同的动点，O为坐标原点，当△OMN为等边三角形时，|MN|=8√3.(1)求抛物线E的方程.F,F2(2)过点P(一3,2)作直线，与抛物线E依次交于A,B两点，过点A作斜率为1的直线，与抛物线IC上不同的另一个交点为C.床箱圆(1)证明：直线BC过定点.(1)直线BC所过定点为Q,△QAB,△PBC的面积分别为S1,S,求号的取值范围，0)若【解题分析】(1)由对称性可知，当△OMN为等边三角形时，M,N两点关于x轴对称，当△OMN为等边三角形时，△OMN的高为号MN=I2,(1)若题分析由题意知点(12,4V3)在E上，代入y2=2z,得(4√3)2=24p,解得=2，E的标准方程为y2=4红，……,因(2)(1)由题易知直线AB的斜率存在，设AB的方程为y一2=k(x十3)，…4分吉”化有得七-82=0A2=1队理-法以设Aa,B0,则1十g=青的=是十12，∴y2-12=2(y1+2)①，直线AC的方程为y一y1=x一yi=-2=424,化筒得2-40十41-=0,4=16-4(41一)>0，130)当0,83识5【24G3DY(新高考)数学-必考-Y】

五、（本大题共2小题，每小题9分，共18分）21.2023年杭州亚运会吉祥物一经开售，就深受大家的喜爱，某商店以每件45元的价格购进某款亚运会吉样物，以每件68元的价格出售，经统计，2023年5月份的销售量为256件，2023年7月份的销售量为400件.(1)求该款吉样物2023年5月份到7月份销售量的月均增长率.(2)从7月份起，商场决定采用降价促销的方式回馈顾客，经试验，发现该款吉祥物每降价1元，月销售量就会增加20件.设该款吉样物每件降价m元(m为正整数)，当m为多少时，月销售利润能达到8400元？(3)在（2)的条件下，设该款吉祥物每月销售利润为m元，当m为多少时，月销售利润最大？最大利润是多少元？22.【课本再现】(1)如图1，E是正方形ABCD中CD边上任意一点，以点A为中心，把△ADE顺时针旋转90°，请你按课本的解答：“设点E的对应点为E',在CB的延长线上取点E',使BE'=DE,连接AE',则△ABE'为旋转后的图形”，画出旋转后的△ABE',易知线段AE与AE'的关系为【深入探究】(2)如图2，在正方形ABCD中，E,F分别是边BC,CD上的点，且∠EAF=45°，请你探究图中线段F,BE,DF之间的数量关系并说明理由；【拓展延伸】(3)在(2)图2的条件下，若正方形ABCD的边长为6，且F为BC边的中点时，DE的长为一B图1B图2K九年级数学试卷第5页共6页

所以当a>e时，g(a)=a-2lna>g(e)=e-2>0,所以f()>0.…9分因为>e时<<1，f2<00)=1>0因为f()在(0，。)内是减函数，在(，十∞)内是增函数，且f3)·f2)<0,ff)<0,10分由零点存在定理可知∫(0)在(}}内存在一个零点，在（工，1）内存在一个零点，综上所述，a的取值范围是(e,十o).12分22.(1)圆C:(x-√3)+y2=16的圆心C(3,0),￥径r=4,因为线段PG的垂直分线和CP相交于点Q,所以|PQI=|QGJ,又|PC|=4,所以1QG1+|QC1=|PC=4>1GC|=2√3，…………2分所以点Q的轨迹是以G(一√3,0)，C(W3,0)为焦点的椭圆，……3分这里2a=4,2c=23,所以a=2,c=3,则62=a2一c2=4一3=1，………4分所以曲线T的方程为号+y=1……5分(2)由(1)知A1(-2,0),A2(2,0),显然直线EF不垂直于y轴，设其方程为x=十1，E(x1,y),F(x2,y2),0…6分x=y+1由写y=消去：并整理得（十），+2m测-3=0则十2m—3m2+4'y2=m2+4.…8分因为直线AE的斜率，=十2直线A,F的斜率k:二”2而为=+…9分因此y1(x2-2)y1(my2-1)myiy2-yy2(x1+2)y2(y1+3)myiy2+3y2多+)-116+0)+3+3….…11分即直线AE和A,F的斜率之比为定值子，…………12分

【解题分析】建立空间直角坐标系如图所示，则C0.2,0.Q1.02.G0.02A40.d--12,-2.d-（0.0n·Q0-0(11,0).设面QGC的法向量为n=(x,y,x),则即n,=0x=0x十2y-2=0则面QGC的-个法向量为m=(01,D,则点A到面QGC的距n2【答案G可波罗尼斯是古希脂著名数学家，与欧几里得，阿基米德被称为亚历山大时期数学三巨匠，他对圆维曲线有深刻而系统的研究，“阿波罗尼斯圆”就是他的研究皮果之一，指的是已知动点M与两个定点A,B的距离之比为入Q>0,且≠1)，那么点M的轨迹就是阿波罗尼斯圆”，若面内两定点A,B间的距离为2，动点P满足哈-，则1PA+PB的最大值为A16+8√/3B.8+43C.7+4√3D.3+√3【解题分析】由题意，设A(-1,0),B(1,0),P(x,y)路-5…D景-6，甲2r+y=,√/(x-1)2+y点P的轨迹是以点(2,0)为圆心W3为半径的圆:lPAI2+|PBI2=(x十1)2+y+(x-1)2+y=2(x2+y+1),其中x+y可看作圆(x一2)2十y=3上的点(x,y)到原点(0,0)的距高的方，∴.(x+yY)==(2+3)2=7+4/3,分为∴[2(2+y+1)]m=16+83,即1PA2+|PB12的最大值为16+83【答案】A二选择题：本题共4小题，每小题5分，共20分.在每小题给出的选项中，有多项符合题目要求.全部选对的得5分，部分选对的得2分，有选错的得0分】9.已知点A1,1)和B(2,4),点P在y轴上，且∠APB为直角，则点P的坐标可以为A.(0,2)B.(0,1)C.(0,4)D.(0,3)【解题分析】设点P(0,),:∠APB为直角，AP⊥BP吉如-学1-，e-号w如-0-0号)-1据释)=3或=2…点P的垒标为02设(0,3)【答案】AD10.若直线1，工十m(y一4)=0与曲线工一√4一了有两个交点，则实数m的取值可以是A.3B司c号D【解题分析=了麦示的由线是图心为0,0)，半径为2的国在y轴以及y轴右侧的部分，如图所示，7直线l:x+m(y-4)=0必过定点(0,4)，当重线1与西指物时，直线布面台有-个交点，没-2结合直线与半国相切可得m一得当直线1的斜率不存在，即m=0时，直线和山线修有丽个交点，要俊直线布面线有丙个交直，测0心m<号【答案BCD【24:G3DY(新高考)数学-必考-N】135

ent shapes.40 Some are for peaceful family life while others represent the wish for health. A.With each distinct look comes a good blessing. B.Playing football and flying kites are popular activities. C.It is popular in the southern regions of the Yangtze River. D.Family members gather together to celebrate and greet each other. E.The tradition of tomb sweeping originates from the Qin Dynasty. F.Many traditional holidays are celebrated to show respect for their ancestors. G.The two main activities over the festival are tomb sweep ing and going on a spring outing

【答案】 One possible version: Sam arrived very early the next morning.He rang the door- bell and politely waited for Mrs Proudfoot to answer.At first, the dog was scared and unwilling to go out with Sam.However, the boy didn't give up,he tried to play with Roland and made him feel at ease.To his relief,minutes later they became familiar with each other.Then they dashed out of the house happily. From then on,Roland would wag his tail every time he saw his best friend Sam. A month later,Mrs Proudfoot was delighted to find Roland fit and energetic.Obviously,Sam had committed to walking the dog and his efforts had paid off-Roland was healthy and active.

编辑技术得到了政府的支持。 35.C通读全文可知，本文主要介绍了科学家利用基因编辑技术 来治疗患有白血病的艾滋病患者。

The three-day show gives inventors the opportunity to meet new I people.Each year a large number of investors,designers and manufacturers attend the show with the aim of looking to work directly with new inventors and promoting their products. The inventors who win are often promoted by Association of British Inventors and Innovators. Previous winner Last year,one of the winners was "the beach bag plus". This invention is a bag which can turn into a picnic bag and also a chair.It is considered the most useful invention for people who like outdoor summer living.You can presently buy this product online for 55.

D.Japan's weak public awareness. 29.How does the author convey the main idea in paragraph 2? A.By presenting the elements. B.By comparing the facts. C.By analyzing the data. D.By showing pictures. 30.Which can best explain the underlined word "disseminating' in paragraph 3? A.Spreading. B.Preventing. C.Reducing. D.Stopping. 31.What can we learn from the last paragraph? A.The natural disasters in Japan are declining. B.Institutional safeguards against disasters matter most.

D.It has been noted that there is a better brain activity on the former. E.This is why a person who learns music also learns how to use his or her time perfectly. F.The more you introduce new musical concepts to your brain,the more confident you are. G.This is one thing that can help determine the success of the individual even after studying.