让我有幸参加省“五一”联欢晚会，并在晚会上怨气冲天，甚至在言语中骂新媳妇“老百姓死封：成功。这种结尾的写法旨在表现人必须在不断意外看到偶像李琼，她为我的故事流泪，献上赞建”，通过新媳妇不借被子，就把“老百姓”一棒思考人生价值的过程中才能成长。第三步，分歌，能与她同台的我万分惊喜、激动、感动；③之子打死，说老百姓统统“老封建”，可见他具有孩点作答。答对情节、人物、主题、给读者感受的后看着合影我仍沉溺在那晚我们亲密的互动中子心直口快的可爱的特点。文章从新媳妇“不作用。并感到难以置信，激动之情久久不能复；④两借被子”到后来她知道“共产党的部队，打仗是微点3情节安排技巧个月后，我在新专辑发布地又偶遇偶像李琼，那为了老百姓的道理”后借出被子的态度转变，更微点小练晚的亲密互动却已被她遗忘干净，我终于认清表现了新媳妇深明大义，支持军队抗战的形象:1.答案①老军提及酒葫芦并指明沽酒位置，引了偶像虚伪表演的真面目，为自己以前对她盲特点。从对表达主题角度分析，这一情节中，新出下文林冲因寒冷外出沽酒巧避草厅压倒之目热切的崇拜感到失落、羞愧。媳妇起初没有借给“我们”被子，到后来知道“我祸。②两间草厅被大雪压倒，引出下文林冲因解析第一步，审清题干。题干“小茹的心理状们”急需被子救治伤员，她虽然不舍，但还是把暂居古庙避开火烧草料场之祸。③林冲暂居古态经常被她的歌星偶像李琼左右”，说明情节都被子借给了“我们”，小通讯员知道这一床新被庙时以石抵门，是后文林冲听到陆虞候等人谈与歌星偶像李琼有关；“请以第一人称‘我’来梳子是新媳妇的唯一的嫁妆、很珍贵时，改变了他话内容的外因。④陆虞候等人的谈话被林冲听理相关情节中小茹的心理波动及原因”，说明要对新媳妇的成见，倒觉得是自己借被子过分，想到，使林冲得知真相，决心复仇，把情节推向用第一人称写；“梳理相关情节中小茹的心理波立刻送回去，表现了军民一心、团结抗敌的高潮。动及原因”，既要梳理情节，又要写出心理波动，主旨。解析“老军指壁上挂一个大葫芦，说道：‘你若还要分析原因。第二步，整体梳理。从文中“她2.答案第一次李小二夫妻酒店偷听，听得不甚买酒吃时，只出草场投东大路去，三二里便有市是一个刚过二十岁的纺织工人。同许多青年人分明。这样写造成悬念，推动故事情节发展。并。’”，下文‘却才老军所说，二里路外有那市一样，她喜爱唱歌，让她最着迷、最崇拜的，是清第二次是林冲夜宿山神庙听到敌人设计加害自井，何不去沽些酒来吃？’便去包裹里取些碎银纯派歌星李琼”可得出，我是一个青年工人，爱己的真相，揭开了谜底，将情节推向了高潮。子，把花枪挑了酒葫芦，将火炭盖了，取毡笠子好唱歌，清纯派歌星李琼一直让我着迷崇拜」解析“他那三四个交头接耳说话，正不听得说戴上，拿了钥匙，出来”，可见，老军提及酒葫芦从“住院期间，市长亲自去看望她，后来，她被授甚么。只见那一个军官模样的人去伴当怀里取并指明沽酒位置，引出下文林冲因寒冷外出沽予‘优秀共青团员‘三八红旗手’，再后来，她被出一帕子物事递与管营和差拔。帕子里面的莫酒巧避草厅压倒之祸。“那两间草厅已被雪压有关领导通知，参加省‘五一’联欢晚会”“李琼不是金银？只听差拔口里说道：‘都在我身上，倒了。林冲寻思：‘怎地好？”，下文“想起离了牵着她的手，慢慢走回舞台。她噙着泪，满怀深好歹要结果他性命”，第一次李小二夫妻酒店这半里路上有个古庙，可以安身…把被卷了情地…她声情并茂地演唱，感染了所有在场花枪挑着酒葫芦，依旧把门拽上，锁了，望那庙偷听，听得不甚分明。这样设计情节的作用是的观众，晚会的气氛达到了高潮。演唱结束后，里来”，可见，两间草厅被大雪压倒，引出下文林造成悬念，引起读者阅读兴趣，引发我们的思李琼牵着她的手回到原来的位置，与她并肩坐冲因暂居古庙避开火烧草料场之祸。“入得庙考，同时推动故事情节发展，引出下文。“林冲门，再把门掩上。旁边止有一块大石头，拨将过在一起，开心地交谈着”等情节可得，一次见义听那三个人时，一个是差拨，一个是陆虞候，来靠了门”，下文“用手推门，却被石头靠住了，勇为，让我有幸参加省“五一”联欢晚会，并在晚个是富安。自思道：‘天可怜见林冲！若不是倒再也推不开。三人在庙檐下立地看火”，可见，会上意外看到偶像李琼，她为我的故事流泪，献了草厅，我准定被这厮们烧死了！’轻轻把石头林冲暂居古庙时以石抵门，是后文林冲听到陆上赞歌，能与她同台的我万分惊喜、激动、感动掇开，挺着花枪，左手拽开庙门，大喝一声：‘泼虞候等人谈话内容的外因。“林冲听那三个人从“眼前，她看着的正是她与李琼合影的照片”贼那里去！’三个人都急要走时，惊得呆了，正走时，一个是差拨，一个是陆虞候，一个是富安”，“她努力不想这事，好让自己静一点。可那印不动”，第二次是林冲夜宿山神庙听到敌人设计下文“林冲举手，胳察的一枪，先搠倒差象太强烈了，事情虽已过去两个多月，一切就像加害自己的真相，揭开了谜底，从而使林冲发现拨…”，陆虞候等人的谈话被林冲听到，使林在昨天、在眼前”可得，看着合影我仍沉溺在那自己一再的忍辱负重、逆来顺受并没能改变“对冲得知真相，决心复仇，把情节推向高潮。晚我们亲密的互动中并感到难以置信，激动之手”蓄谋已久的加害阴谋，因此愤慨之至，手刃2.答案示例：①草屋倒后，林冲探身去摸火盆内情久久不能复。从“双方对视了一会儿。李仇敌，将情节推向了高潮。的火种，暗示后文草料场失火并非因林冲疏忽琼好看的眉毛轻轻皱了一下：‘对不起，我记不?微点通关而起，是有人有意为之。②林冲在山神庙将大起来了。’边说边优雅地摇着头。她愣住了”“她答案①设置悬念，吴王究竟对伍子胥接受与石头靠了门，为后文陆虞候等人推不开门而得一人彳亍在街头。她为那台晚会害羞”可得，两否？伍子胥复仇了没有？从而激发读者的想知真相埋下伏笔。个月后，我在新专辑发布地又偶遇偶像李琼，那象，余味无穷。②这样更突出了伍子胥的心路作用：①推动故事情节的发展，使小说情节前后晚的亲密互动却已被她遗忘干净，我终于认清历程，展现出他学会“坚持”和“克服”，逐渐成长照应，结构严谨。②丰富人物形象，如林冲探身了偶像虚伪表演的真面目，为自己以前对她盲以至成熟的经过。③作者不打算写“吴市以后去摸火盆内的火种，看火种是否熄灭，表现出他目热切的崇拜感到失落、羞愧。第三步，把握关的伍子胥”，不注重“复仇”，而是注重“成长”，旨为人谨慎的性格。③层层设伏，使小说波澜再键。把握着迷崇拜、开心、让自己静、愣住了、在表现人必须在不断思考人生价值的过程中才起，增加了小说的阅读趣味。害羞等字眼。能成长。解析如文中，林冲打酒回来发现草厅被雪压微点2分析情节作用解析第一步，审读题千。题干“这样终结全文塌，之后他“放下花枪、葫芦在雪里；恐怕火盆内冬微点小练有着怎样的文学效果”说明要把握结尾的作用。有火炭延烧起来，搬开破壁子，探半身入去摸1.答案①“借被子被拒”的情节让通讯员和年轻第二步，多维思考。伍子胥到吴国以及后来的时，火盆内火种都被雪水浸灭了”，这里设置了媳妇结识，让两人之间由误解到理解，结下了纯吹箫最终目的都是复仇，结尾只说司市打算将林冲摸火盆这一情节，由摸的结果可知，火种都洁的军民友谊，为后文写年轻媳妇把被子给通伍子胥的事告诉吴王，并没有说接下来会怎么被雪水浸灭了，所以下文草料场起火并不是火讯员陪葬做铺垫。②“借被子被拒”的情节烘托样，这就为情节设置悬念，吴王究竟对伍子胥接盆内火种的事儿，而是有人故意纵火，这是一个了通讯员如孩子般可爱的性格特点；通过新媳受与否？伍子胥是否顺利复仇了？复仇之后又伏笔。如写林冲到山神庙安身，到了山神庙之后，他“入得庙门，再把门掩上。旁边止有一块妇“不借被子”到把珍视的被子借给“我们”的转怎么样了…从而激发读者的想象，余味无穷。大石头，拨将过来靠了门”，也是因为他用石头变，更能凸显新媳妇的深明大义、拥军的形象特从到吴国开始，伍子胥经历了一系列很美或很靠住门，所以下文纵火的几人才无法进入山神点。③从“借被子被拒”到“借到被子”的情节转丑的事情，看到由愤怒回归静的年轻人，看到庙，“是三个人脚步响，直奔庙里来；用手推门换，表现了军民一心、团结抗战的小说主题。听到楚人在这里的喧嚣…“他为了避免无谓却被石头靠住了，再也推不开”，三人只能在庙解析从对全文情节的作用角度看，在借被子的纠纷，不得不隐蔽他的面目；但他为了早一日檐下立地看火，让林冲得知了事情的真相，这是被拒的情节中，小通讯员误解了新媳妇，到后来达到目的，又急切地需要表露他的面目。在这一个伏笔。如写草厅破败，“四下里崩坏了，又知道这床被子是新媳妇的唯一的嫁妆很珍贵又要隐蔽、又要表露的心情里他一步步地进入被朔风吹撼，摇振得动”，这也就为下文草厅被时，又理解了新媳妇的苦衷，两人因为借与不借吴市”，从中他学会了“坚持”和“克服”，并决定雪压塌、林冲不得不到山神庙栖身埋下伏笔。起初产生了矛盾，到后来通讯员借到被子知道吹箫。这样更突出了伍子胥的心路历程，展现再看作用。从情节角度来看，这些伏笔推动了真相后，彼此了解，二人之间产生了互相理解、出逐渐成长以至成熟的经过。作者不打算写情节的发展，让小说情节前后呼应，如之前探身彼此又心生愧疚之情，这为后文小通讯员死时“吴市以后的伍子胥”，也就是不注重“复仇”，不摸火盆和下文他人纵火之间，如林冲用石头靠新媳妇为他缝衣服和用新被子给他陪葬的情节注重结果，而是注重造成结果的根本原因：一个住门和纵火三人无法进入庙内而在庙檐下交谈做铺垫。从对人物形象塑造的角度分析，在“借人的“成长”。由小说结尾可推知，伍子胥正是让林冲知道真相之间，如草厅的破败和被雪压被子被拒”这一情节中，小通讯员没有借到被子成功赢得司市的注意，最终取信于吴王，才复仇塌之间，这让文章结构严谨；而且文中一个伏笔·8·赢在微点高考复顶层设计语文

6。已知a,b是单位向量，2a+b1=5,则a与6的夹角为0A.6B号D.567,知图，在三棱锥P-BC中，B=4C=2,S1,4为锐角，PA=PB=PC=2,一只小虫从A点出发，沿侧面绕棱锥爬行一周后回到A点，则小虫爬行的最短距离为A.2N2C.6-2B.2W5D.6+28.已知点0是△4BC的内心，AB=4,4C=3,C丽=2C+C⑦，则1+L=A月C.2D.3二、选择题：本题共4小题，每小题5分，共20分。在每小题给出的四个选项中，有名项符合题目要求；全部选对的得5分，选对但不全的得2分，有选错的得09.如图，已知圆锥S0母线长1=5，底面半径r=4,则下列结论中正确的有A.圆锥的表面积为36πB.圆锥侧面展开图的图心角为5C.圆锥的体积为16元D.圆锥的轴截面是锐角三角形10.已知函数∫)=sinrcosx+√5cosx,则下列结论中正确的有A.函数解析武化简后为：f=s加2x+爱+气豆四的紧结为：言受e2+tc.四的对斯中心为受受小，e1D.四的单调莲清区同为机一音点音+因k21l.在△4BC中，角A,B,C所对的边分别为a,b,c,下列命题中正确的有A.若c=2 asinC,则A=30°B.若A>90°，则tanBtanC<1C.若a=25,b=4,B=60°，则△4BC有两组解D.若sim2A+sim2B-sim'C<0,则△4BC是钝角三角形高中2022级数学试题第2页（共4页）

(新教材)高三大一轮总复多维特训卷数学所以fx)=f()=-21n2消去y0得，e=x一x。+1.-m,f (x)mx=f(1)=-m.m≥0，由(1)知x,=0,则%=0，k=f'(0)=1-0=1,因为fx)在[，]上有零点，所以21n2故所求的切线方程为y=x,3-m≤0，解得21n2≤m≤0.所以m的取值范围为21n25.解：(1)g'(x)=1-a)-lnz3,0x23当a≥1时，g'(x)<0,即g(x)在(1，十o∞)上单调递减，12.解：1)a=2f'(x)=e+(x-2)e-(x-1)故函数g(x)不存在极值.当a<1时，令g'(x)=0,得x=e-,=(x-1)(e-1),由f'(x)=0得x=0或x=1,x(1,e-)el-a(e-a,+∞)且当x<0或x>1时，f'(x)>0,当00),+1,无极小值.则g)=a+1D(e-）综上，当a≥1时，函数g(x)不存在极值；当a<1时，函数g(x)有极大值，g(x)极大值=e-1十1，不存令A()-e-是(：>0)，易知A()在0，+0)上单调在极小值.(2)显然x>0,要证f(x)≥g(x),递增，.x>0,.x+1>1>0,即证e+≥+2，+n严，即证ze*1≥nr+z+2,又h(分）=E-4<0,A1)=e-2>0,即证er+x+1≥(ln.x十x+1)+1.令t=lnx十x十1，故只需证e≥t+1.(侣使得g)=0,即有心=是设h(x)=e2-x-1,则h'(x)=e2-1,且g(x)在(0，xo)上单调递减，在(x。,十∞)上单调递增，当x>0时，h'(x)>0,当x<0时，h'(x)<0,.g (x)min=g(o)=xoe"-2xo-Inxo=2-21n2,故h(x)在(0，十∞)上单调递增，在（一∞，0）上单调递减，.m≤2-2ln2,即m的取值范围为(-o∞，2-2ln2].即h(x)mn=h(0)=0,所以h(x)≥0，从而有e2≥x十1.3解：1函数f)=e-号，f0)=1,故e≥t+1,即f(x)≥g(x).6.解：(1)由题意，函数f(x)=x3+2ax2+ax十m,可得f'(x)切点为(0,1)，f'(x)=e-x,f(0)=1,,=3x2+4ax+a2,.f(x)的图象在x=0处的切线方程为y一1=x,因为f(x)在x=1处取得极小值，即x-y+1=0.所以f'(1)=3+4a+a2=0,解得a=一3或a=-1.1(2)令h(x)=f(x)-g(x)=e-2x2-ax-1,h0)=0.①当a=-3时，f'(x)=3x2-12x十9=3(x-1)(x-3).令f'(x)>0,解得x<1或x>3;令f'(x)<0,解得10,解得x<3或x>1;当x∈[0，+∞)时，f(x)≥g(x)恒成立.当a>1时，h'(0)=1-a<0,令f'(x)<0,解得30,即g'(x)>0.故g(x)在R上是单调递增的.且f(x)在(0，号），1，十∞)止单调递增。又因为g(0)=0,因此，函数y=g(x)有唯一的零点，零点为0.在（行，1）上单调递减。(2)显然，点A(1,1)不在函数f(x)图象上，不妨设切点坐标为(x0,yo).要使f(x)有3个零点，只需f(付）=-号.+m>01-x0=y0-11一工，即且f1)=1-2+1+m<0,解得-27

学生用人书名师导学·新高考第一轮总复·数学A-看-1-1D3.求轨迹方程的常用方法(1)直接法：题目中的条件有明显的等量B-若=1关系，或者可以利用面几何知识推出等量关C-黄-1S-1)系，列出含动点(x,y)的解析式.(2)定义法：分析题设几何条件，根据圆锥D2-茶-1曲线的定义，判断轨迹是何种类型的曲线，直接求出该曲线的方程。【知识要点】(3)代入法：如果轨迹动点P(x,y)依赖于1.曲线与方程的含义另一动点Q(a,b),而Q(a,b)又在某已知曲线一般地，在面直角坐标系中，如果某曲上，则可先列出关于x,y,a,b的方程组，利用线C(看作点的集合或适合某种条件的点的轨x,y表示出a,b,把a,b代人已知曲线方程便迹)上的点与一个二元方程f(x,y)=0的实数得动点P的轨迹方程，这种求轨迹的方法也叫解建立如下的对应关系：做转移法。曲线C上点的坐标都是(4)参数法：如果轨迹动点P(x,y)的坐标方程之间的关系不易找到，也没有相关点可用时，可曲线C以这个方程的解为坐标f(x,y)的点都是=0先考虑将x,y用一个或几个参数来表示，消去参数得轨迹方程.参数法中常选角、斜率等为那么，这个方程叫做,这条曲参数线叫做4.“轨迹”与“轨迹方程”的区别与联系2.直接法求动点的轨迹方程的基本步骤一般说来，若是求“轨迹方程”，求得方程就可以了；若是求“轨迹”，求得方程还不够，还建系建立适当的面直角坐标系应指出方程所表示的曲线的类型，“轨迹”与设点轨迹上的一点一般设为P(x)“轨迹方程”是两个有相关性的不同概念。(列式列出或找出动点P满足的等式(代换将得到的等式转化为关于的方程饺化方程x)=0为最简形式验证验证即为所求的轨迹方程258

卷典金州谢答高多祖心时团全19.(12分)腹，赠途果成省刊夏一数日中醒8，s策查电产公0装某生物技术公司研制出一种新流感疫苗，为测试该疫苗的有效性（若疫苗有效的概率小于90%，则认为测试没有通过)，公司选定200个流感样本分成三组，测试结果如下表：A组B组C组疫苗有效673y疫苗无效7790密已知在全体样本中随机抽取1个，抽到B组疫苗有效的概率是0.33.(1)求x的值.(2)现用分层抽样的方法在全体样本中抽取360个测试结果，问应在C组抽取多少个？(代0汇数大不：(3)已知y≥465，z>30,求不能通过测试的概率.一一一（八函:8>(红)左学入拥，8。各(围前自更的。是文来，聊黄奖言5十8十一1()八左帮不的下千关荐(封线数学（五）第5页（共8页）【24·JD·数学（文科）一QG】

4.Why did Mahoney set up WAY?A.To complete a Facebook challenge.B.To give back to local communities.C.To do daily chores for the elderly.D.To help seniors realize their goals.5.How has WAY affected Victor?A.He has made more friends.B.He has started a new hobby.C.He has become high-spirited.D.He has regained his son's support.6.What does Mahoney intend to do by recording videos?A.Rise to fame and fortune overnight.B.Keep memories alive for the elderly.C.Positively change our attitude towards the elderly.D.Improve interpersonal relationship in the community.7.What is the text mainly about?A.Lifelong dreams.B.A charity for seniors.C.Problems seniors meet.D.An unforgettable experience.CBy 2050,68%of the global population will live in cities.That's 2.5 billion more people thantoday.In Europe,three out of four of us already live in urban areas,and the consequences of that arebecoming clear.Researchers estimate that nine million people die every year as a direct result of airpollution.As our cities grow and more people move into already crowded spaces,what do we need todo to transform our urban areas into healthy places to live?An increasing body of research tells usthat we should be letting nature back in.Green spaces in cities mitigate the effects of pollution and can reduce a phenomenon known asthe urban heat island effect,which refers to heat trapped in built-up areas.The effect appears in townsand cities where the heat generated by people,transport and industry is trapped in the narrow roadsand concrete structures,unable to escape to the atmosphere.This can bring the temperature in urbanareas up 3-4C higher than the surrounding countryside,and with that comes a severe cycle.Increased temperatures in summer lead to an increased demand for cooling.This expands our energyconsumption,which in turn build up fossil fuel consumption,increasing pollutants in the airand harmful smog on our streets.英语试题第4页共10页

2版沪科八年级参考答案第4期数学周刊第12期参考答案即学即练：1.C2.D3.A4.615.1第1课时轴对称图形5.证明：在△ABD和△ACD中，∠ABD=∠ACD,∠BAD=∠CAD,课堂探究：例1A例2②AD=AD,所以△ABD≌△ACD(AAS).所以DB=DC,AB=AC.即学即练：1.D2.D3.C4.D5.B6.B7.丁所以点A和点D都在线段BC的垂直分线上，所以AD是8.解：画出的对称轴如图所示：·线段BC的垂直分线，第15章轴对称图形与等腰三角形(15.1~15.2)同步诊断一、选择题1.A2.B3.B4.A5.D6.B7.D8.D15.1第2课时轴对称的性质二、填空题课堂探究：①③④9.②③④10.13011.0

BAr you sen wll these days?Some pople fal asleepo their heads fall on thepllobutafe lying hoursin bed.According to sienti yoctrain youlasleep 42Your brain likes doing something at a certain 43 If your bedtime and wake-up time ofe4nbiooca()k Forthisebad get up at the same time every day.6you go to bed,but you can't fall asleep in 20r 30 minutes,get up and do something else.It mayonly take you five mnes to getr it may take you n hour.Bat don't spend that timengerdand again.Or your brain will conect your bed withof worry.It's also important to change your attitude()about sleep.Many people think that sleep is the leastimportant thing on their to-do list.They may 49late to read a novel or watch a TV show.This,however,can leave them feeling 50 the next day.Always remember:Only a good night's sleep will makeyou feel relaxed and active and get you ready for tomorrow.()41.A.aloneB.awakeC.afraidD.alive()42.A.slowlyB.clearlyC.badlyD.quickly()43.A.timeB.wayC.planD.step()44.A.keepB.workC.spendD.change()45.A.habitB.decisionC.reasonD.result()46.A.IfB.SinceC.TillD.So()47.A.weakB.sleepyC.normalD.happy)48.A.beginningB.feelingC.meaningD.opening)49.A.talk backB.turn downC.stay upD.come out)50.A.boredB.excitedC.pleasedD.tired第三部分阅读理解（共两大题，满分45分）M.补全对话（共5小题：每小题1分，满分5分）根据对话内容，从方框内的选项中选出能填人空白处的最佳选项，其中有两个为多余选项。A:Good morning,young man.51B:Good morning,doctor!My leg is painful and I have trouble walking now.A:52A.What else should I do?B:For a weekB.Could you lift your leg?A:Well,let me see.53C.What's the matter with you?B:Yes,but it hurts too much.54D.How long has the pain lasted?A:There's no need for you to take an X-ray.I'm sureE.I wonder if I need to get an X-raythat your bone isn't broken.F.I want to know if my leg is brokenB:That's too good.Do I need to take some medicine?G.But you'll have to rest for a few days.A:No.55B:I see.Thanks,doctor.A:You're welcome.

22.(★★21.(★★★)（本小题满分12分）已知B已知函数f(x)=(x2一a)e一ax2.(1)若(1)若a=0,求f(x)的单调区间；4(2)当(2)设m+2e"=0,且f(x)在[-2,0]上有2个零点，证明：4e+1≤a3m-2agi应大·的出第f2+的带名商当为7g入'有加个日，'在(-四，2)Ψ1ta0景相商个0★★，音代面、长明相五小点入★★

will take place at 3:30 pm next Friday in the school hall.To join the club,we require a strong love for learning.Members are expected to attend meetingsand take part actively in club activities.All freshmen are welcome to join our community ofEnglish learners.We hope that this club will provide chances for you to improve your languageskills and make new friends.Looking forward to meeting you at the recruitment event!English Club第二节One possible version:A young lady pulled into the driveway that afternoon.My parents welcomed her into the house.She and the dog reunited,and she thanked my dad for saving Vonny and taking good care of him.Although she seemed happy to see Vonny,she also seemed sad.She explained to my parents thatshe was moving away and couldn't take the dog with her.Would they,by any chance,be able tokeep him?Even though my mother was not quite the animal lover that Dad was,she hadsoftened up to Vonny by this time.My parents agreed to the request of the lady.Beth and I shouted happily because we finally got a dog-Vonny.We offered to walk Vonnyevery day after school.He became a loving part of our family and lived many more years with us.He brought a lot of joy to our family.Of course,he was especially close to Dad,who hadunconditionally accepted him from the minute he laid eyes on him.I couldn't imagine what mighthave happened to Vonny had Dad not been at the store that evening.Dad's kindness set a goodexample to my sister and me.写作选做题1.Good habits help us to learn.2.I am very interested in mathematics.3.I will do my best to face all the challenges in my studies.4.The school organizes different extra-curricular activities.5.Teenagers should focus on their studies.部分解析阅读第一节A篇主题语境：人与自我一一生活与学本文是应用文。文章介绍了四个适合家庭出游的宿营地。21.B。理解具体信息。根据LADRAM BAY HOLIDAY PARK介绍内容中的Just a10-minute walkfrom the touring area will bring you to the site's private beach where there are boats for all,LADRAM BAY HOLIDAY PARK公园提供了船只，方便游客游玩。22.C。理解具体信息。根据RUDDING HOLIDAY PARK介绍内容中的01423870439和RuddingHoliday Park is set just a 10-minute drive from the town of Knaresborough,where there's ahistoric castle and the Mother Shipton's Cave family attraction可知，RUDDING HOLIDAY PARK公园距离Knaresborough镇很近，那里有历史悠久的城堡和Mother Shipton's Cave山洞。因此，历史爱好者最有可能拨打01423870439来获取相关信息。23.A。推断。根据本文标题Four sites for camping with the kids以及文中的Ladram Bay isperfect for families wanting to relax,a family arcade,family attraction,family-friendly Forfamilies who love the beach and taking to the water可知，这四个宿营地均适合家庭出行。

17.(5分)如图，点E在△ABC的边AC上，请用尺规作图法在BC边上求作一点F,使得△EFC∽△ABC.(保留作图痕迹，不写作法)B(第17题图)18.(5分)如图，点E是正方形ABCD的对角线BD上一点，且BE=BC,ADEF⊥BD,交DC于点F.求证：DE=CF.EB(第18题图)19.(5分)如图，在面直角坐标系中，每个小正方形的边长都是1个单位长度，△ABC的顶点都在格点上，点A的坐标为(1，-2)，点B的坐标为(4，-1)，点C的坐标为(3，-3).(1)以原点0为位似中心，在第二象限内作△A,B,C,使△AB,C,与△ABC位似，且△A,B,C,与△ABC的相似比为2：l,点A、B、C的对应点分别为A1、B1、C;(2)在(1)的条件下，分别写出点A1、B,的坐标.(第9题图)20.(5分)如图，在口ABCD中，过点B作BE⊥CD于点E,点F在边AB上，连接DF,请你添加一个条件，使得四边形BEDF是矩形.（不再添加其他线条和字母)(1)你添加的条件是(2)根据你添加的条件，写出证明过程，(第20题图)九年级数学期中调研H-3-(共6页)

答：小轩更高，小轩比小西高12cm.…5分20.解：-1￥3=(-1)×3+2×(-1)-33分=-3-2-3=-8.5分21.解：从正面和左面看到的几何体的形状如图所示.（对一个得3分)…6分从正面看从左面看22.解：将展开图还原成正方体后，可得x与1在相对面上y与一号在相对面上，之与3在相对面上。……3分因为相对面上的两个数互为倒数，所以x=1,y=一2，=3…6分所以x+2y-62=1+2X(-2)-6×3=-5,所以x十2y一6之的值为一5.…7分23.解：小隽的想法是对的.…1分理由：原式=6a2b-4ab2-2ab+2ab+4ab2-6a2b+1…4分=6a2b-6a2b-4ab+4ab-2ab+2ab十1…5分=1.…6分因为化简结果是常数1，代数式的值与α，b的取值无关，所以代数式的值不变.…7分24.解：(1)离开钟楼站时，车上的人数为16+15一5+10一6十6一8十3一12=19，所以该公交车离开钟楼站时，车上还有19人.…2分(2)根据图表可知，各站之间车上的人数如下：A站到B站：车上有16+15-5=26人，3分B站到C站：车上有26十10一6=30人，…4分C站到D站：车上有30十6一8=28人.…5分通过比较可知，B站和C站之间，即桥仔口和广济街之间，车上的乘客最多6分(3)(15+10+6+3)×1=34(元)答：该公交车在这四个站能收34元.……8分25.解：(1)方案一的收费是25x十200(x>30),…2分方案二的收费是40X90%×(x-5)=36(.x-5)=36.x一180(x>30).…4分(2)方案一省钱。…5分理由：方案一：25X46十200=1350元.…6分【※七年级数学·参考答案第2页（共3页）※】

2023~2024字T发八年级数学参考答案及评分标准一、选择题（共8小题，每小题3分，计24分每小题只有一个选项是符合题意的）1.D2.B3.C4.A5.C6.A7.C8.B二、填空题（共5小题，每小题3分，计15分）9.610.>11.212.1613.13三、解答题（共13小题，计81分.解答应写出过程）14.解：原式=4万-2万+5…(3分)=35.…(5分)15.解：在Rt△ABC中，∠C=90°，AC=√10，BC=22,所以AB2=AC2+BC2=(0)2+(22)2=18,(3分)所以AB=32(5分)16.解：根据题意得：6x8x4.8(cm),273则原来正方体钢锭的棱长为3 cm.(5分)17.解：(1)设y=kx(k≠0)，当x=2,y=4时，则4=2k,…即k=2,(1分)y与x之间的函数关系式为：y=2x,....(2)因为点(a,3)在这个函数的图象上，(3分)所以3=2a,…所a=号(4分)(5分)18.解：由点P(2a-6,-3b+2)在第二象限，到x轴的距离为5，到y轴的距离为8，得-3b+2=5,-(20-6)=8.解得b=-1,0=-1.…(3分)19.解：(1)如图，△A,B,C,即为所求.(5分)(2)A(1,3),C,(3,-1).(3分)(5分)八年级数学期中质量调研W-答案-1（共3页）

由于∠MC为镜角，所以sin∠MAC=V-cos'∠MMC_3V54所以tan∠MAC=sin∠MAC_3V5cOS∠MAC1319.已知函数∫(x)=3-k·3x(k∈R)是奇函数.（1)求实数k的值：(2)设关于x的不等式f(ax2+1)+∫(-(a+1)x)<0的解集为A.若集合A中的整数元素只有两个，求实数a的取值范围。【答案】19.k=1[【解析】【分析】(1)由题意可得f(0)=0,检验，即可求解：(2)利用函数的奇偶性和单调性解不等式，可得ax2-(a+1)x+1<0,分类讨论当a=0、a<0、01时对应的解集，结合题意即可求解.【小问1详解】由题意知，(x)是定义域为R上的奇函数，则f(0)=0,即3°-k3°=0，解得k=1,经检验，k=1符合题意，所以k=1:【小问2详解】由(1)知，k=1,则=3-3=3-（令，又函数y=3,y=-(令在R上单调递增，所以函数(x)在R上单调递增，由f(ax2+1)+f(-(a+1)x)<0→f(ax2+1)1,此时集合A不满足题意：当a≠0时，ax2-(a+1)x+1<0→(ax-1x-1)<0,对于方程ax2-(a+I)x+1=0→x,=二，x2=1,a'

绝密★启用前辽宁省名校联盟2023年高一10月份联合考试数学命题人：辽宁名校联盟试题研发中心审题人：辽宁名校联盟试题研发中心本试卷满分150分，考试时间120分钟。注意事项：1.答卷前，考生务必将自己的姓名、准考证号填写在答题卡上。2.答选择题时，选出每小题答案后，用铅笔把答题卡对应题目的答案标号涂黑。如需改动，用橡皮擦干净后，再选涂其他答案标号。答非选择题时，将答案写在答题卡上。写在本试卷上无效。3.考试结束后，将本试卷和答题卡一并交回。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，只有一项是符合题目要求的。1.下列关系正确的是A.I-1|任NB.π2∈QC.N'∈ZD.{0}=2.已知集合A=[-1,+∞)，集合B满足A∩B=[-1,4),则B可以是A.[-1,4]B.(-2,4)C.(-1,4)D.(-2,2)3.数学符号的使用对数学的发展影响深远，“=”作为等号使用首次出现在《砺智石》一书中，表达等式关系，英国数学家哈利奥特首次使用“>”和“<”符号，便于不等式的表示，则命题：Vx,y∈R,(x+y)3>x3+y的否定为A.x,y∈R,(x+y)3x+yC.3z,yER,(x+y)3

显的”35,A本文主要说明了气候变化对动植物的影响，因此A项适合作为文章标题。补全短文36~40 FECDB完形填空琳达代表校方向家长介绍一门让孩子们学到新技能的课程。41.A孩子们在学校很忙碌，因为他们要继续学新技能。42.C一个需要特别技能的学领域就是社交与情感学。43.D但是这些重要的技能常常被忽视。44.A根据上文social--emotional learning可知，此处表示管理好情感。45.B教会学生如何恰当解决社交方面的问题。46.C根据下文的throughout the day--in the classroom,on the playground and at home可知，此处表示学无时无处不在进行。47.A孩子们根据观察、倾听周围的人的互动来学技能。48.D我们将帮助孩子们思考，培养和练积极的社交技能。49.B研究告诉我们，学和使用这些技能的孩子更可能与他人友好相处，并在学校表现得很好。50.A澄清一下，这不是一个预防欺凌的课程。相反，它是一种亲社会的教学方法。51.C这种方法可以教给学生技能，让他们更好地进行沟通和合作。52.D当他们看到欺凌时，能积极呼吁恰当的行为。53.A根据后面的responsibility,respect,caring,inclusiveness(包容)，honesty and courage可知，这些是好的品质。54.B这些课程给了学生被激励的机会。55.C学生将他们所学的付诸行动。56.D然后，学生与他们的同龄人分享经验57.A家长对这个课程的成功起着重要的作用。58.D学生在推广他们学的东西时可能会寻求家长的帮助。59.B你们可以浏览网站上提供的免费课程60.C这样，你们可以了解孩子在课堂上学的东西！语法填空61.those 62.becoming 63.a 64.are65.and 66.which 67.Earlier 68.involved69.To protect 70.was included短文改错Among all the European cities,I love Paris more.Paris is known in the world center ofmostculture and fashion.You may find much famous museums there,A most famous of which isasmanyLouvre.Louvre dated back to the 12th century,which was used to be a royal palace.It is saidthedates·32·【24·G3DY·英语·参考答案一R-必考-QG】

9.What will the man do?A.Borrow the woman's computerB.Have the woman visit his friends.C.Go to the library to finish his paper听第8段材料，回答第10至12题。10.Why is Jeff at the airport?A.To see Ryan off.B.To fly to London11.Why does Ryan go to Paris?C.To meet the woman.A.To do business.B.To go sightseeing.C.To receive education.12.What does Jeff worry about?A.Ryan may miss his flight.B.The plane may be delayed.C.There's no time to talk to Daisy.听第9段材料，回答第13至16题。13.What is People You Meet?A.An office party.B.A radio program14.How many people does Mark's office serve every year?C.A training course.A.About100.000.B.About200,000.C.About500,000.15.What do we know about Mark?A.He is a team leader.B.He was born in London.C.He speaks thirty languages.16.What do Mark and his co-workers usually do to help visitors?A.Show them around.B.Plan tours for them.C.Teach them English.听第10段材料，回答第17至20题。17.What does the speaker do?A.A journalist.B.A studentC.A TV host.18.Where did the speaker visit last year?A.A university.B.A top collegeC.A news agency19.Which kind of job does the speaker dislike?A.The one without change.B.The one that keeps him busy.C.The one that needs to be done secretly.20.What is the speaker going to do after getting the bachelor's degree?A.Find a job.B.Continue his studyC.Travel around the country.第二部分阅读理解（共两节，满分50分）第-节（共15小题；每小题2.5分，满分37.5分）阅读下列短文，从每题所给的四个选项(A、B、C和D)中，选出最佳选项AIf you're a lover of the great outdoors and fancy yourself as a bit of a discoverer,then you'll wantto know about the best national parks in the world.National parks are full of wonders.Exploring one isyour chance to get back to nature.Etosha National Park,NamibiaEtosha means"great white area",which refers to the park's huge salt area.When it rains,the waterpools attract hundreds of thousands of pretty flamingos()to the park.And yet there is more toEtosha National Park than flamingos.Expect to sce lions,elephants,leopards and two kinds of zebra asyou venture around the park.Yellowstone National Park,United States of AmericaYou will find Yellowstone National Park atop a volcano hot spot in Wyoming,but the thing thatwill explode will be your mind as you immerse yourself in the dramatic canyon,lush forests,and alpine高二10月联考英语（人教版）第2页（共8页）

《双语学报·辅导测评周刊》2023-2024学年高二RX版·新教材新高考基础版第14期参考答案T1KeyS:(One possible version,客观题除(21)vividothers外)4.(22)认购（股份）；定期订购4.The good news for his family was that走进课文(23)数量多的；多种多样的he got an offer from a big company.任务1：(24)household5.The fact was that we had no solution1-5 FFOOF6-8 FFO(25)把…归咎于；责怪；指责to the problem.任务2：(26)最初的；开始的；第一的6.The question is when we can get the1.once and for all2.contradictory(27)投射：向…投以（视线、笑容等）：●reply.3.subscribed to4.proof投掷7.The problem is which experiment we5.handle6.intervention(28)阴影：影子：背光处should do first7.pure8.substantialII.1.severe;severely;severity8.The trouble is how we can obtain the句型巡航2.contradictory:contradictsubstance we need.I.1.when we will be fully prepared3.infection:infect:infectiousIII.1.that2.where3.What2.when the decoration will be completed4.intervention:intervene4.how5.whyII.1.that his friend was planning5.pure;purely;purity;purifyIV.1.where2.what3.that2.is to blame6.finding:find4.what5.how6.thatIII.1.It seems that we have a problem with7.defend:defence;defensivethe Internet connection.8.assistant;assistance;assistT4 Keys:(One possible version)2.He loves English movies so much9.leadership;leader;leadSection 1that he watches one every week..I.1.households2.infection3.She had a finger of her right hand cut1.①B②A2.①A②B3.①B②A3.multiple4.suspectedby a small knife yesterday4.①B②A5.①A②B5.linked6.StatisticsIV.1.I took a break so that I could keep aIV.1.once and for all2.同意；赞同II.1.that2.what3.thatclear mind.3.水泵4.thanks to4.why5.because2.She saved up money so that she could5.理论框架6.break outIII.1.The Great Wall is so splendid that atravel around the world7.in charge oflarge number of tourists visit it everyV.1.that he wouldn't have enough time to8.患（病）；染上（小病）year.finish the experiment9.above all2.He is off work today so he can have2.that he didn't attend the meeting词汇运用I.1.giftedthe air conditioner repaired eventually.2.decreasingT2Keys:(One possible version,客观题3.leadership3.According to the research,people4.proof除外)5.blamedwho exercise every day are more词语保鲜II.1.break out2.infectionlikely to live longer.1.2.defend3.suspect4.subscribed toIV.1.findings1.(1)证据；证明；检验5.finding6.Thanks to3.Thanks to4.solid(2)link7.to handle8.links5.assist6.blame(3)未煮的；生的；未经处理的；原始的7.transform(④)大量的；价值巨大的；重大的T3 Keys:(One possible version)Section 2(⑤)decrease(6)transform语法专练I.1.rainbow2.concept()显微镜(8)蛋白质I.1.who2.whether 3.why3.gifted4.concrete(9)细胞；小房间；单间牢房4.that5.because 6.where5.abstract(10)病毒(11)concept7.what8.whenII.1.broke out2.in charge of2.(12)机械师；机械修理工II.1.The library is where I left my bag yes-3.came down(13)导弹(14)望远镜terday.III.1.doing2.what 3.to improve3.(15)thinking(16)outstanding2.A headache for him was that he failed4.had5.a 6.bought(17)gifted(18)天文学家the test again.7.construction8.thankful(19)brilliant(20)fault3.My bottom line is that I can't lie to9.unexpectedly10.in

the crowd.Fans donated some money.第3版5.make sureLANGUAGE LEARNINGV.1.satisfaction 2.benefits 3.musclesLESSON 3WRITING WORKSHOP,VIEWING WORKSHOP,LL.upper 2.weekly3.ache 4.relief 5.guidelineREADING CLUB 1 READING CLUB 2ⅡJ.awkward2.prevent3.detailsI.1.amazed2.sig址4.amount5.1ow6.immune system3.response4.medal亚Ⅱ.1.overtook2.take advantage of3.defendA 1.shortcut2.equipment3.achievable4.strengthen5.membershipIL.1.doing2.played4.is calledB 1.membership2.equipment3.strengthen3.places5.where6.of4.shortcut5.achievable7.to reach8.theIV.1.in particular2.cheu吧10.enjoyable3.is capable of4.was fed up with9.finally

W:Actually,I bought two floor lamps.The other one is in the bedroom.M:You must have spent a lot on them.W:No,they didn't cost too much.I bought them in a newly opened shopping mall.My friend worksthere and she told me that there was a sales promotion every Wednesday and Friday.M:Really?Are household appliances on sale?I'd like to buy a new TV.W:I have no idea.Well,this is today's local newspaper.There is some latest promotion informationabout the mall in it.M:Thanks a lot!Let me see...Oh!It says there is a 20%discount on appliances.Let's go to that mall!Ican't wait to buy a new TV.W:Calm down.Don't you remember there's no sales promotion today?Tomorrow is Friday.Let's gothere then.M:Alright.I'll text my colleague.She has just bought a new house.I guess she also needs to buy someappliances.Text9W:Oh,Carson,you look pale.Are you OK?M:No,I just slept for 2 hours.I stayed up late finishing my homework last night.W:But Mr.Thompson didn't assign that much homework,did he?I finished mine within 2 hours lastnight.M:I just couldn't help playing with my phone when I was doing my homework last night.I just wantedto search for something on the Internet,but I ended up spending several hours watching videos online.W:I used to play games or watch movies on my phone all night.But now I hardly ever play with myphone.M:How did you manage to do that?W:Well,first,I've been trying to take part in more outdoor activities.I have joined a baseball team andwe usually play baseball on Sunday afternoons.So I'm no longer just addicted to the Internet.Then,I askedmy parents to keep my phone every night before I go to bed.M:That's impossible for me.I can't fall asleep without playing with my phone.Besides,I need an alarmon my phone to wake me up in the morning.W:You can buy an alarm clock,or you can ask your parents to wake you up.Text 10W:On Miriam Gardsbane's 9th birthday,she got some money from her uncle as her birthday gift.Miriam gave the money to an African group that cares for elephants.Miriam and her mother then visitedAfrica to learn how that money was used to support elephants.Miriam fell in love with the animals andwanted to help save them.A few months after visiting Africa,Miriam watched How I Became an Elephant,a documentary about the abuse of elephants in Thailand and a young girl's campaign to save them.Miriamdecided to raise money to save elephants.She made and sold baked goods.She also plans to make and sellclay elephants.She wants her art teacher to help her draw the elephants.Kate Santorineos,an artist,willopen her art studio to Miriam and Miriam's friends on weekends so they can make the clay elephants.Miriam's mother is a doctor who cares for animals.She and Miriam also traveled to Kenya and Thailand sothey could help elephants.第4页共4页

Yours, Li Jin

vote yourself to serve the Olympic Games. serving If you are lucky granted an interview for volunteers,I can meet luckily you at the airport and put you up with in my house.Also,I will pro- vide you with some other help you need.Wished you good luck! Wish

钟；听完后，各小题将给出5秒钟的作答时间。每段对话或独白读 两遍。 听第6段材料，回答第6、7题。 6.What is the price of the shoes at Maxine's? A.$160. B.$200. C.$245. 7.What does the woman say about the goods at Helen's? A.Expensive. B.Special. C.Cheap. 听第7段材料，回答第8、9题。 8.Why does Mrs Thompson want to see the speakers? A.The class leaders reported them to her. B.They were not very active this morning. C.She may ask them to run for class monitor. 9.What does the boy suggest doing?

第二部分阅读（共4小题；每小题5分，满分20分） 阅读下面短文，从每题所给的A、B、C、D四个选项中选出最佳 选项。 When we make decisions,we don't always have all options available to choose from at the same time.Instead they often come one after another,such as searching for an apartment or a flight ticket.So we have to decide on something without knowing if a better option might have come along later.A study has shown that our standards drop more and more in the course of decision-making. "We have to make decisions like this countless times every day,from the small ones like looking for a parking space to the big ones like buying a house or even choosing a partner,"says

M:It would not have been expected that you'll become a writer. Was your mother ambitious for you? W:Well,my mother wasn't especially ambitious for me in the sense of going to college when I grew up.I think her greatest contribution was simply that she loved me very much.No matter what happened,I had my mother with me. M:She gave you confidence. W:Oh,she did.She earned very little money.And in spite of that,she managed to buy a computer for me to write articles. She just wanted me to be able to do things that she couldn't do even if she didn't know what they were. (Text 9) W:To start with,tell me about your education,please.

中所给的A、B、C三个选项中选出最佳选项，并标在试卷的相应位 置。听每段对话或独白前，你将有时间阅读各个小题，每小题5秒 钟；听完后，各小题将给出5秒钟的作答时间。每段对话或独白读 两遍。 听第6段材料，回答第6、7题。 6.Where are the speakers? A.In a bank. B.In a hotel. C.In a shopping centre. 7.How much does the man need to pay? A.$68. B.$136. C.$204. 听第7段材料，回答第8、9题。 8.Where did the woman meet the man?

绝密★启用2022一2023学年度高三分科检测提分卷理科数学（六）本试卷满分150分，考试时间120分钟。注意事项：1.答卷前，考生务必将自己的姓名、准考证号填写在答题纸上。2.回答选择题时，选出每小题答案后，用铅笔把答题纸上对应题目的答案标号涂黑。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，将答案写在答题纸上，写在本试卷上无效。3.考试结束后，将本试卷和答题纸一并交回。一、选择题：本题共12小题，每小题5分，共60分。在每小题给出的四个选项中，只有一项是符合题目要求的。1.已知21，之2为复数，且之1=1十i,若之1x2=之1|2，则A.乙1=z2B.z1=22C.1-x2=2D.之1+22=2i2.农科院的专家为了了解新培育的甲、乙两种麦苗的长势情况，从种植有甲、乙两种麦苗的两块试验田中各抽取6株麦苗分别编号为1,2，…，6，并测量株高（单位：cm),得到的样本数据如下统计图所示：株高/cm--0-------0。甲种麦苗。乙种麦苗645---0----0---0-------●P0123456麦苗编号根据所抽取的甲、乙两种麦苗的株高数据，给出下面四个结论，其中正确的结论是A.甲种麦苗样本株高的均值大于乙种麦苗样本株高的均值B.甲种麦苗样本株高的极差小于乙种麦苗样本株高的极差C.甲种麦苗样本株高的众数为10.5D.甲种麦苗样本株高的中位数大于乙种麦苗样本株高的中位数3.已知集合A=x0,B==h-3,则CAnBC.(6,+∞)D.[6,+∞)4,如图，网格纸上的小正方形的边长为1，粗线是某几何体的三视图，则该几何体的体积是A.(-1,3]B.(3,6]视图侧视图俯视图C.34D.32A.38B.36名师卷©理科数学（六）第1页（共4页）

由1og218>log216,猜测f(a)+f(c)>2f(b).证明如下：因为a,b,c是互不相等的正数，所以a十c>2√ac.因为b2=ac,所以ac十2(a十c)>b2+4b,即ac十2(a+c)+4>b2+4b+4,从而(a+2)(c+2)>(b+2)2.因为f(x)=log2(x十2)是增函数，所以log2(a+2)(c+2)>log2(b+2)2,Eplog2 (a +2)+10g2(c+2)>2 log2 (6+2),故f(a)+f(c)>2f(b).19.(12分)某算法的程序框图如图所示，其中输人的变量x只能是1,2,3，·，24这24个整数中的一个，且每个整数的可能性是相等的.(1)当输入x=12和x=20时，求输出y的值；(2)求输出的y值的分布列；(3)某同学根据该程序框图编写计算机程序，并重复运行1200次，输出y的值为1,2,3的次数分别为395,402，403,请推测他编写的程序是否正确，简要说明理由.开始输入x是否能被3整除x能被4整除y=2输出y结束解：(1)当输入x=12时，因为12能被3整除，所以输出y=1;当输入x=20时，因为20不能被3整除，能被4整除，所以输出y=2.(2)y的所有可能取值为1,2,3.当x为3,6,9,12,15,18,21,24这8个数时，输出y=1,所以输出y=1的概率1P,=31当x为4,8,16,20这4个数时，输出y=2,所以输出y=2的概率P2=-6；当工为其余12个数时，输出y=3,所以P。=21故y的分布列为2(3)程序输出y的值为1,2,3的频率分别为395402403200'1200'1200,可近似地认为都是3，与(2)中所得的概率分布相差较大，故推测该同学编写的程序不正确，20.(12分)在复面中原点为O,已知点A对应的复数为之1=2，点B对应的复数为之2，之1一之2|=1，点C对应的复数为且=：（合+，且B.C均在实轴上方(1)求|之1十之2|的取值范围；(2)当之2|=√3时，P是线段OA上的动点，求CP|的取值范围.·79