又因为AB的中点为号·》，所以线段AB的中垂线的方程为y一号-：号，即x-y一2=0，由x一y-2=0,2x+y-4=0,|x=2,解得。所以圆心C(2,0).y=0,又因为半径为AC=1,所以圆C的方程为(x-2)2+y2=1.…5分(2)设圆C的半径为r,则r=1,若直线的斜率不存在，因为直线过点(3,2)，所以直线方程为x=3,此时圆心C(2,0)到直线x=3的距离d=1=r,满足题意，若直线的斜率存在，设斜率为k,则切线方程为y一2=k(x一3)，即kx一y十2一3k=0,因为直线与圆相切，所以圆心到直线的距离d=一k+2=1,解得=√2+141所以切线方程为x一y十2-}-0，即3x-4y-1=0,所以切线方程为x=3或3x一4y一1=0.…13分16.【解题分析】(1)由运算“⑧”的定义知(1,5)☒(-2，-1)=1×(-2)+5×(-1)=-7.……3分(2).(3,a)∈M,即点(3，a)在直线2x-y+3=0上，∴.2X3-a+3=0,得a=9.同理，由2b-5+3=0,得b=1.由运算“☒”的定义知(3，a)☒(b,5)=(3,9)☒(1,5)=3×1十9×5=48，所以可以确定，值为48。……7分(3)由(3，a)∈M,(b,c)∈M,知2×3-a+3=0,即a=9,且2×b-c+3=0,即c=2b十3.由运算“②”的定义知(3，a)⑧6，c)=36+ac=36+9(26+3)=216+27

EC=号BC+CC=号BC+BB=(-3,1,2),则oAD,EC-,Ai·EC3+2+2=W/21Aδ·|EC|√6×w146因为异面直线的夹角的取值范围是(0，受]，所以异面直线AD与CE所成角的余弦值为v②76·7.D【解题分析】在三棱台ABC-A1BC中，AA1⊥面ABC,∠BAC=90°，则以A为原点，AB,AC,AA1所在直线分别为x,y,之轴建立空间直角坐标系A-xy之（图略）.由AB=AC=AA1=2A1C=2,知A(0,0,0),B(2,0,0),C(0,2,0),B1(1,0,2).A衣=2AB,N是AB的中点，N.00.又C7=CiM号，号o).G01.2,则Ci=(号分，-2).C寸=1一1，一2).设m=(x,y,之)是面CMN的法向量，m·Ci-0,1则即导+方y-2x=0…令2=8，得y=2,=3m=(8,23,m·Cd=0,(x-y-2x=0,CB=(1,-1,0),…点B,到面CMN的距离d=CB·m_677m778.A【解题分析】依题意，以A为原点，AB,AD,AA1所在直线分别为x轴、y轴、之轴建立空间直角坐标系A-xyz(图略)，则A(0,0,0),B(2,0,0),A1(0,0,1),D(0,1,0),.BA=(-2,0,1).设P(0,y%,0),0

设速度最小时，小球在Q点，则从C到Q,在竖直方向，根据速度一位移公式有hco(Vm sin45)…(1分)》2g故H=R+hco=2.725m:(1分)(3)从C到D,小球的运动时间为1=2.=1.28…(1分)由运动学知识可知xcD=1Egt2=7.2m…(1分)2 m有C到D,由动能定理知：Eqxco-m哈-m呢…(1分)得vo=6√5m/s.(1分)或：(3)从C到D,小球的运动时间为1=2vC=1.2s…(1分)号E由运动学知识可知，沿CD方向的速度x=二t=12m/5n…(2分)则小球通过D点时的速度是：vo=、v呢+=6v5m/s.(1分)答案第3页，共3页

(2)图甲中O点是小球抛出点在地面上的垂直投影，首先，将质量为m,的小球从斜槽上的S位置由静止释放，小球落到复写纸上，重复多次。然后，把质量为m,的被碰小球置于斜槽末端，再将质量为m的小球从S位置由静止释放，两球相碰，重复多次。分别确定均落点，乙图中找到均落点后从左到右依次记为M、N和P（P为m单独滑落时的均落点，M为m1与另一个小球m2的碰后落点)。的乙a.图乙为实验的落点记录，简要说明如何确定某一个小球的均落点b.分别测出O点到均落点的距离，记为OP、OM和ON。在误差允许范围内，若关系式成立，即可验证碰撞前后动量守恒。(3)受上述实验的启发，某同学设计了另一种验证动量守恒定律的实验方案。如图丙所示，用两根不可伸长的等长轻绳将两个半径相同、质量不等的匀质小球悬挂于等高的O点和O点，两点间距等于小球的直径。将质量较小的小球1向左拉起至A点由静止释放，在最低点B与静止于C点的小球2发生正碰。碰后小球1向左反弹至最高点A,小球2向右摆动至最高点D。测得小球1,2的质量分别为m和M,弦长AB=l、A'B=l,、CD=I。①②DB C丙推导说明，m、M、1、12、1满足关系即可验证碰撞前后动量守恒。13.(10分).如图，竖直向上的匀强电场中，用长为L的绝缘细线系住一带电小球，在竖直面内绕O点做圆周运动。图中A、B为圆周上的两点，A点为最低点，B点与O点等高。当小球运动到A点时，细线对小球的拉力恰好为0，已知小球的电荷量为q(9>0)、质量为m,A、B两点间的电势差为U,重力加速度大小为g,求：(1)电场强度E的大小。(2)小球在A、B两点的速度大小。EA高二物理第5页（共6页）

19.法治是国家治理体系和治理能力的重要依托，是治国理政的基本方式。清根据所学知识，回答下列问题。(1)哪部法典是迄今已知世界上第一部较为完整的成文法典？(1分)(2)罗马人最伟大的成就之一是法学，罗马法制建设的第一步是什么？(1分)(3)西欧中世纪乡村的典型组织是什么？庄园法庭审判的依据是什么？(2分)(4)哪法律奠定了欧洲民法的基础？列举它所包含的法律文献。(5分)(⑤)通过以上内容探究，谈谈你的感悟？（1分)20.时空观念是历史学科核心素养之一，是逐步形成的具有历史学科特征的思维品质和关键能力。结合所学知识，完成年代尺，并回答以下问题波斯帝国A帝国B帝国东、西罗马帝国C帝国奥斯曼帝国个0个个工①个公元前6世纪前4世纪晚期2世纪4世纪末8世纪中期16世纪(1)请指出世界古代史上出现的地跨三洲的帝国名称。(3分)A:B:C;(2)A帝国的建立者被称为什么？请概括他的主要事迹和影响。(3分)(3)B帝国是由谁建立的？他开创了哪一政治组织形式？(2分)(4)C帝国对世界文化的发展做出了卓越贡献。请举例并加以说明。(2分)九年级历史期中试卷第4而

原始农,、由化民族具有反对分裂、维护统一的光荣传统。某校七年级(1)班同学开展了(3)依历史主题探究活动，请你参与。析【结束分裂·走向统一】材料山我北漏周【伟巴题会家国图A春秋争霸形势图图B战国形势图图C秦朝形势图)材料一图示反映了从春秋到秦朝时期的什么变化？(2分)结合所学分析秦统一全国的新时的历史意义。(2分)以务【创新措施·巩固统一】志》材料二分)秦始皇廿六年（公元前221年）诏书铁权李斯《琅琊台刻石》铭文节选皇帝之功，勤劳本事…器械一量，同书文字…六合之内，皇帝之土…功盖五帝，泽及牛马。铭文：廿六年（公元前221年），皇帝尽并兼天下诸侯，黔首大安，立号为皇帝，乃诏丞相状、绾，法度量则不壹，歉疑者皆明壹之。的主(2)依据材料二的两个史料，提取其中可以相互印证的历史信息。(4分)材料三秦统一后，国土辽阔，最初设置36郡…后来随着疆域的开拓，又设…5郡。除内史管理的京畿地区外，秦有41郡。郡下设县…秦县的数量大约有1000个。摘编自张岂之主编《中国历史十五讲》【♪七年级历史第5页（共6页）♪】

原始农,、由化民族具有反对分裂、维护统一的光荣传统。某校七年级(1)班同学开展了(3)依历史主题探究活动，请你参与。析【结束分裂·走向统一】材料山我北漏周【伟巴题会家国图A春秋争霸形势图图B战国形势图图C秦朝形势图)材料一图示反映了从春秋到秦朝时期的什么变化？(2分)结合所学分析秦统一全国的新时的历史意义。(2分)以务【创新措施·巩固统一】志》材料二分)秦始皇廿六年（公元前221年）诏书铁权李斯《琅琊台刻石》铭文节选皇帝之功，勤劳本事…器械一量，同书文字…六合之内，皇帝之土…功盖五帝，泽及牛马。铭文：廿六年（公元前221年），皇帝尽并兼天下诸侯，黔首大安，立号为皇帝，乃诏丞相状、绾，法度量则不壹，歉疑者皆明壹之。的主(2)依据材料二的两个史料，提取其中可以相互印证的历史信息。(4分)材料三秦统一后，国土辽阔，最初设置36郡…后来随着疆域的开拓，又设…5郡。除内史管理的京畿地区外，秦有41郡。郡下设县…秦县的数量大约有1000个。摘编自张岂之主编《中国历史十五讲》【♪七年级历史第5页（共6页）♪】

13.What will the man do for Elizabeth?A.Treat her to breakfast.B.Call his uncle.C.Lend her some money.听第9段材料，回答第14至16题。14.What wlll the weather be like in southern England tonight?A.Snowy.B.Windy.C Rainy.15.What will the passengers get if the train is canceled?A.A hotel room for free.B.Money for train tickets.C.Access to other public transport.16 Who is the woman?A.A train driver..B.A weather reporter.C.A ticket seller.听第10段材料，回答第17至20题。17.What is the main focus of the program?A.Management skills.B.Artistic appreciation.C.Scientific exploration.18.What is the program known foreA.Including a variety of scientific flelds.B.Offering 15 hours of coursework per week.C.Improving students'ability to do experiments.19.What will students need to do at the start of the program?A.Sit an exam.B.Give a report.C.Design a project.20.What is the best part of the prograra?A.It stresses theoretical study.B.It organizes activities outside school.C.It specializes in computer-assisted research.高2025届一诊英语试题第3页（共12西)

W:That's a responsible choice.So,how did you spend your evening then?M:I actually went to the library and did some extra reading for my science project.W:That's great!Your hard work is definitely paying off...M:Thanks!I realized that I needed to improve my grades and it's never too late to start.W:Absolutely!Your hard work will definitely bring positive results.M:I hope so.It's time for me to step up and take my studies seriously.W:I'm proud of you,Ken.Keep up the good work!M:Thank you,Miss Kim.Your encouragement means a lot to me.(Text 8)M:Hello,this is City Daily.What can I do for you?W:Hello.This is Vera Smith.I'm calling to tell you a piece of urgent information.M:What's up?W:I picked up a passport just now in the subway station.There was nobody aroundand it was on a waiting bench.M:Could you tell me some details about the passport?W:OK.The owner of it is Steven who comes from England.I think he must be anxiousabout the passport right now.So I need your help to find the owner of the passport.M:Well,please don't worry.We can post a notice on our newspaper to tell him about it.Could you tell me his passport number?W:Well,please wait a minute.It's E4023496.Thank you very much.M:It's E4023469,right?W:No.Its last two numbers are nine and six.M:OK.You are so helpful.(Text 9)M:I do have a few questionsW:Sure,what do you want to know?M:I'd really like to have a single room.Is that possible?W:Unfortunately,there's a waiting list.And the single room is extremely rare forstudents who are in the first year at a university.But there's no harm in putting yourname on the list.M:Oh,really?Well,can you tell me about the rooms?Like what they come with andwhat I should bring.W:Well,every room comes with extra long twin beds,but you need to bring your ownsheets.You'll get a desk and chair,clothes closet and storage drawers,of course.M:Do the rooms have the Internet?W:Yes,every room has the Internet.But there's a $40 charge for the Internet everyterm.Each room has a telephone and local calls are free,and so is the TV.There is alsoa free kitchen,and each floor has a couple of nice common areas.M:Cool.Can I bring a microwave?W:No,sorry.That's not permitted for safety reasons,but you can bring otherelectronic equipment like a small TV,your laptop and so on.(Text 10)M:This afternoon my wife and I are going into town to get some travel books,sowe can start thinking about our holiday this summer.We normally agree about whereto go each year but this time we may have some problems finding some places thatwill satisfy both of us.Alice,my wife,has had a difficult year at work and she hasalready said to me that she wants to free herself for a couple of weeks in thecountryside,breathing fresh air.As for me,I'd rather do something more active thanthat.I know I'll get tired if we just stay on the beach all day.Yesterday a friend of mineshowed me photographs of his holiday last year and I must say it looked veryinteresting.He and his wife hired a car for four weeks and went on a tour of Ireland.visiting different towns,sightseeing and sometimes walking along the river.The carwas wide and equipped with everything that you need for a short touring holiday,including a shower.I'll mention it to Alice later on.She is likely to be happy with suchan idea.

W:That's a responsible choice.So,how did you spend your evening then?M:I actually went to the library and did some extra reading for my science project.W:That's great!Your hard work is definitely paying off...M:Thanks!I realized that I needed to improve my grades and it's never too late to start.W:Absolutely!Your hard work will definitely bring positive results.M:I hope so.It's time for me to step up and take my studies seriously.W:I'm proud of you,Ken.Keep up the good work!M:Thank you,Miss Kim.Your encouragement means a lot to me.(Text 8)M:Hello,this is City Daily.What can I do for you?W:Hello.This is Vera Smith.I'm calling to tell you a piece of urgent information.M:What's up?W:I picked up a passport just now in the subway station.There was nobody aroundand it was on a waiting bench.M:Could you tell me some details about the passport?W:OK.The owner of it is Steven who comes from England.I think he must be anxiousabout the passport right now.So I need your help to find the owner of the passport.M:Well,please don't worry.We can post a notice on our newspaper to tell him about it.Could you tell me his passport number?W:Well,please wait a minute.It's E4023496.Thank you very much.M:It's E4023469,right?W:No.Its last two numbers are nine and six.M:OK.You are so helpful.(Text 9)M:I do have a few questionsW:Sure,what do you want to know?M:I'd really like to have a single room.Is that possible?W:Unfortunately,there's a waiting list.And the single room is extremely rare forstudents who are in the first year at a university.But there's no harm in putting yourname on the list.M:Oh,really?Well,can you tell me about the rooms?Like what they come with andwhat I should bring.W:Well,every room comes with extra long twin beds,but you need to bring your ownsheets.You'll get a desk and chair,clothes closet and storage drawers,of course.M:Do the rooms have the Internet?W:Yes,every room has the Internet.But there's a $40 charge for the Internet everyterm.Each room has a telephone and local calls are free,and so is the TV.There is alsoa free kitchen,and each floor has a couple of nice common areas.M:Cool.Can I bring a microwave?W:No,sorry.That's not permitted for safety reasons,but you can bring otherelectronic equipment like a small TV,your laptop and so on.(Text 10)M:This afternoon my wife and I are going into town to get some travel books,sowe can start thinking about our holiday this summer.We normally agree about whereto go each year but this time we may have some problems finding some places thatwill satisfy both of us.Alice,my wife,has had a difficult year at work and she hasalready said to me that she wants to free herself for a couple of weeks in thecountryside,breathing fresh air.As for me,I'd rather do something more active thanthat.I know I'll get tired if we just stay on the beach all day.Yesterday a friend of mineshowed me photographs of his holiday last year and I must say it looked veryinteresting.He and his wife hired a car for four weeks and went on a tour of Ireland.visiting different towns,sightseeing and sometimes walking along the river.The carwas wide and equipped with everything that you need for a short touring holiday,including a shower.I'll mention it to Alice later on.She is likely to be happy with suchan idea.