流中甲被选择”，则P)=号×2×号+2×号×号+2×}×==233333333327011分②第n次(n≥2，neW交流中甲被选择，则第n-1次交流中甲未被选择.设第n次交流中甲被选择的概率为P则P.=-P-×号-P.+3…13分3P1=0.P.-4-x(-1=(←-P.=4-3-…17分19.解：(1)当M的坐标为1，》时，设过M点的切线方程为y-多=+)，与)=4联立，得y号=4+，整理得2-y++=0，2令△=1-4k+引=0，解得k=-2或k=,分别代人方程得y=-1和y=4,故得A4,4,B好-，…2分同时可求得直线M1的方程为y=x+2,直线MB的方程为y=-2x-号，进而可知MA=-1,即直线MA与直线MB互相垂直，则过M,A,B三点的圆的直径为线段AB,设该圆上任一点P的坐标为k,,则AP=:-4,y-4,丽=x-子y+所以Ap-m=(x-4x-4)+-40+)=0从而过M,A,B三点的圆的一般方程为+y2-子x-3y-3=0(圆的标准方程：-骨+0一多引=)…4分(2)设切点分别为A(x,),Bx2,Y),过抛物线上点Ax,y)的切线方程为y-y,=(x-x),与=4联立，整理得2-y-k,+1=0,△=1-4-kx+y)=0,所以k=2,6分又因为y2=4托，从而过抛物线上点A1,)的切线方程为y-=2-会，即yy=2(x+x),同理可得过点B(x2,y2)的切线为y2y=2x+x2),又切线MA,MB都过点Mx0,yo),所以得yy=2(x,+x),y2yo=2(x+x2)即点A(x,y),B(x2,y2)均满足方程yoy=2。+),故直线AB的方程为yoy=2(x。+x)…8分设M(xo,y),其为直线lx=-m(m>O)上任意一点，故yoy=2x-m)对任意yo成立，从而直线AB恒过定点(m,0).…9分(3)由(2)知1，是方程0y=2,+云)的两实根。高三数学（三模答）一4

1、[衡水金卷]2024届高三年级5月份大联考(广东省)试题(历史)1、[衡水金卷]2024届高三年级5月份大联考(广东省)试题(地理)1、[衡水金卷]2024届高三年级5月份大联考(广东省)答案(地理)12、[衡水金卷]2024届高三年级5月份大联考(广东省)试题(物理)1、[衡水金卷]2024届高三年级5月份大联考(广东省)答案(物理)1、2024届衡水金卷先享题 [调研卷](五)5理综(JJ·B)答案■▣▣▣3、[衡水金卷]2024届高三年级5月份大联考(广东省)试题(化学)1、[衡水金卷]2024届高三年级5月份大联考(广东省)答案(化学)1、[衡水金卷]2024届高三年级5月份大联考(广东省)答案(生物)14、[衡水金卷]2024届高三年级5月份大联考(广东省)答案(政治)1、[衡水金卷]2024届高三年级5月份大联考(广东省)答案(地理)1、2024届衡水金卷先享题 [调研卷](五)5文数(JJ·A)试题21.(5、[衡水金卷]2024届高三年级5月份大联考(广东省)答案(历史)1、[衡水金卷]2024届高三年级5月份大联考(广东省)答案(地理)1、2024届衡水金卷先享题 [调研卷](五)5文数(JJ·A)试题21.(

因为AB=AD=3,BC=CD=4,所以AOBD,CO⊥BD,…3分又AO∩CO=O,……4分所以BD⊥面AOC,…5分因为ACC面AOC,所以AC⊥BD.6分(2)解：以O为坐标原点，OC的方向为x轴的正方向，建立如图所示的空间直角坐标系，则A(0,0,1),C(2√2,0,0)，E(√2，W2,0),B(0,-22,0),……8分则AB=(0,-2√2，-1)，AC=(22,0,-1),AE=(W2,2,-1).…9分设面ABC的法向量为n=(x,y,之)，-2W2y-x=0,则n·AB=n·AC=0,即…10分2√2x-z=0,令x=1,得n=(1,-1,22).…11分由|cos(A2,n1=2222=214分5×105W25得直线A上与面AC所成角的正弦值为号15分17.(1)解：设A(x1,y1),B(x2,y2).因为点F的坐标为（号，0），所以1：y=2(x卫)=2x一1分由X二2，得r-6pr十公=0.2分y=2r-p.则十=3分从而AB=西十2+力三号三10，…5分得p=4,所以C的方程为y2=8x.…6分(2)证明：因为点F的坐标为(2，O),直线MN的斜率不为0，所以设直线MN的方程为x=my+2.7分y2=8x,设M(x3,y),N(x4y),由可得y一81y一16=0，…8分(x=my+2.则5十y=8,…9分y3y=-16,所以MN|=√/1+m|-y4=√1+m2v(y为十y4)2-4yy4=√1十m2·√64m2+64=8(1十m2)）.…11分由(1)可知，y-2=2x1-x=2√(x1十x2)2-412=2V62-4=4W5,…12分因为点A,P的纵坐标分别为y1,2,且AP∥MN,所以|PA|=√1十m|y一y2|=45·【高三数学·参考答案第4页（共6页）】·24-508C·

1、[衡水金卷]2024届高三年级5月份大联考(广东省)答案(生物)1、[衡水金卷]2024届高三年级5月份大联考(广东省)答案(政治)1、[衡水金卷]2024届高三年级5月份大联考(广东省)答案(地理)12、[衡水金卷]2024届高三年级5月份大联考(广东省)答案(化学)1、[衡水金卷]2024届高三年级5月份大联考(广东省)答案(生物)1、[衡水金卷]2024届高三年级5月份大联考(广东省)答案(政治)13、[衡水金卷]2024届高三年级5月份大联考(广东省)答案(地理)1、2024届衡水金卷先享题 [调研卷](五)5文数(JJ·A)试题21.(12分)(二)选考题：共10分.请考生在第22、23题中任选一题作答.如果多做，则按所做的第一题4、[衡水金卷]2024届高三年级5月份大联考(广东省)试题(生物)1、[衡水金卷]2024届高三年级5月份大联考(广东省)答案(生物)1、[衡水金卷]2024届高三年级5月份大联考(广东省)答案(政治)15、[衡水金卷]2024届高三年级5月份大联考(广东省)试题(化学)1、[衡水金卷]2024届高三年级5月份大联考(广东省)答案(化学)1、[衡水金卷]2024届高三年级5月份大联考(广东省)答案(生物)1

themTing.Her face with make-up is very handsome.With just one arm,she can spin (her partner around 47 Also,Pp afeel the ions and the pandeher.Thdfrom across the country come to Hangzhou 49with fast intemet canChen perform.So the tickets are not easy to get and only thosewatchDifforent from4些Chinese9 operas,.Shaoxing Opera5 mous fort enine女性的).the roles ars play women.Many Intemnet users jioke that women understand best what women want toThe5n ate has opened more poledoa Shaoxing Opera show now?We're not sure you will be 54 enough to get a ticket.四、阅读理解（本大题共23小题，每小题2分，共46分）0QA)请阅读下面短文，根据短文内容从每小题所给的A、B、C、D四个选项中选出最佳选项，并在答题卡上将该项涂黑。AHAPPY SANDWICHOpening hours:3:00 pm-9:00 pm Tuesday--SundayWe're closed on Mondays and the second Sunday of every month)SandwichesDrinksFresh Sandwich...$7.95Chocolate Pop...$5.35Bread+Fish +LettuceChocolate+Coco+Ice creamSunny Sandwich...$8.19Midnight Sun..($6.75Bread+Chicken+Tomatoes+CheeseMilk+OrangeJoy Sandwich.$945Black Jack...$7.65Bread +Egg Steak Ham LettuceBlack Tea+AppleGood News:Star-Collecting PlanYou can get a star by ordering a sandwich or a drink.With 15 stars,you can get a $6.75 drink for free!How much do we pay for a Fresh Sandwich and a Midnight Sun with 15 stars?$7.95.B.$14.7.C.$15.6.D.$16.2(Whieh time and date can we choose to Happy Sandwich according to the calendar?A.8:30a.m.JuneMonB.6:00p.m.June 9thC.5:30p.m.June 22ndD.9:00a.m.June 28thWhich of the following is TRUE according to the passage?A.We can get chicken in Joy SandwichB.We can get 2 stars by ordering 2 sandwiches.C.There are 6kinds of drinks in Happy Sandwich.D.Happy Sandwich is open for 7 hours every day.英语试题卷第4页（共8页)

1、[衡水金卷]2024届高三年级5月份大联考(广东省)答案(物理)1、2024届衡水金卷先享题 [调研卷](五)5理综(JJ·B)答案■▣▣▣▣口■等于物块增加的机械能E=mghc4+△Ek=112J,故C错误。传送带克服摩擦力做的功等于

What will Sonecha probably do in the future?A.Promote accessibility in the public regionsB.Modernize architecture with smart devices.C.Build special schools for disabled students.D.Decorate schools with traditional elements.22.Theterners regardLanguage gives us the power to deseribe countless actions,properties and relations thatage Westerncompose our experiences,real or imagined.As for how languages were created,how Chinesefound iconicity might play a key role.People can't bridge language gap and understand each other without iconicity.Whenhas helped Hday and helpeplaying a game of charades(猜字谜)，we act out our meaning,using our hands and bodies toeshockeddescribe the sizes and shapes of objects.The key to this process of forming new symbols isthe use of iconicity.Not limited to gesturing,iconicity appears in our visual communicationries of Ctoo.Traffic signs,food packaging,maps...wherever there are people communicating,youfirstwill find iconicity.a theAccording to our research,iconicity might also exist in our voices.We organized aldncontest in which we invited contestants to record a set of sounds to express differentmeanings.The winner of the contest was determined by how well listeners could guess theintended meanings of the sounds based on a set of written options.Critically,the soundsthat contestants submitted couldn't include actual words or onomatopoeias )Listeners were remarkably good at interpreting the meanings of the sounds.Yet,all ofBthe contestants and listeners were speakers of English.Thus,it was possible that listeners'success relied on some cultural knowledge that they shared with the speakers.Did thelisteners also understand the speakers from completely different cultural backgrounds?Later,an Internet survey translated into 25 different languages was carried out.Participants listened to each sound from the English speakers and guessed the meaning bychoosing from six written words.Guessing accuracy for the different groups ranged from 74percent for English speakers to 34 percent for Portuguese speakers.It is far from perfect,but well above the chance rate of eight percent expected by us.Taken together,these studies show that our capacity for iconic communication hasplayedacriticaoe Without this special talent,language would likelynever have gottenoffthe ground.高三英语试题第4页（共10页）

What will Sonecha probably do in the future?A.Promote accessibility in the public regionsB.Modernize architecture with smart devices.C.Build special schools for disabled students.D.Decorate schools with traditional elements.22.Theterners regardLanguage gives us the power to deseribe countless actions,properties and relations thatage Westerncompose our experiences,real or imagined.As for how languages were created,how Chinesefound iconicity might play a key role.People can't bridge language gap and understand each other without iconicity.Whenhas helped Hday and helpeplaying a game of charades(猜字谜)，we act out our meaning,using our hands and bodies toeshockeddescribe the sizes and shapes of objects.The key to this process of forming new symbols isthe use of iconicity.Not limited to gesturing,iconicity appears in our visual communicationries of Ctoo.Traffic signs,food packaging,maps...wherever there are people communicating,youfirstwill find iconicity.a theAccording to our research,iconicity might also exist in our voices.We organized aldncontest in which we invited contestants to record a set of sounds to express differentmeanings.The winner of the contest was determined by how well listeners could guess theintended meanings of the sounds based on a set of written options.Critically,the soundsthat contestants submitted couldn't include actual words or onomatopoeias )Listeners were remarkably good at interpreting the meanings of the sounds.Yet,all ofBthe contestants and listeners were speakers of English.Thus,it was possible that listeners'success relied on some cultural knowledge that they shared with the speakers.Did thelisteners also understand the speakers from completely different cultural backgrounds?Later,an Internet survey translated into 25 different languages was carried out.Participants listened to each sound from the English speakers and guessed the meaning bychoosing from six written words.Guessing accuracy for the different groups ranged from 74percent for English speakers to 34 percent for Portuguese speakers.It is far from perfect,but well above the chance rate of eight percent expected by us.Taken together,these studies show that our capacity for iconic communication hasplayedacriticaoe Without this special talent,language would likelynever have gottenoffthe ground.高三英语试题第4页（共10页）

1、2024届衡水金卷先享题 [调研卷](五)5理综(JJ·B)答案■▣▣▣▣口■等于物块增加的机械能E=mghc4+△Ek=112J,故C错误。传送带克服摩擦力做的功等于物块增加的机械能和系统产生的内能之和即W=E+Q=126J,故D正确。19.滑片P向α端移动时，2、2024年普通高等学校招生全国统一考试·金卷 BY-E(五)5文科数学答案1、2024年普通高等学校招生全国统一考试·金卷 BY-E(一)1文科数学答案1、2024届普通高校招生全国统一考试仿真模拟·全国卷[BY-E](二)2文科综合答案

1、名校之约 2024届高三新高考考前冲刺押题卷(一)1数学答案1、名校之约 2024届高三新高考考前模拟卷(四)4数学答案1、名校之约 2024届高三新高考考前模拟卷(三)历史1、2024届高三全国12、炎德·英才大联考 2024年高考考前仿真联考二试题(生物)(3)2023年3、4月，甲型流感在多个省份流行。据图三可知在接种初期密切接触甲流忠健康是没有影响；。者仍然可能患上甲流，原因是接种疫苗后产生抗体需要一定的时间，大多数疫苗需要接（3)你认为该实验设计3、[炎德·英才大联考]2024年高考考前仿真联考二试题(数学)1、炎德·英才大联考 2024年高考考前仿真联考二试题(物理)重庆市高2024届高三第八次质量检测物理试题2024.5命审单位：重庆南开中学考生注意：1.本试卷满分100分4、[炎德英才大联考]2024年普通高等学校招生全国统一考试考前演练一1生物试题1、炎德英才大联考2024普通高等学校招生全国统一考试考前演练一语文答案B 解题分析 B“申版籍”指向朝廷申报军民户籍。A“上曰： ‘善。’”中的“善”是“好”之意。“素善5、炎德英才大联考2024普通高等学校招生全国统一考试考前演练一语文1、炎德英才大联考·2024年普通高等学校招生考试考前演练一 数学20.解析：(1)取线段CM的中点O,连接BO,PO,:∠PMB=号PM=BM,△PMB为等边三角形，∴.