西安地区八校联考

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西安地区八校联考(一)

%’ ! （本小题满分 "% 分）（理）设 & * ’，函数（ * + ）& （ & ( %） +% + &% + ， , （ + ）& ! +( ,（ + + &） ! （"）若（ * +）在［’， "］上是增函数，求 & 的取值范围；求函数 , （ +）的单调区间! （%）（文）设（ * +）& &+! + -+ + （ . &4’ ）为奇函数，其图象在点（"，（ * "））处的切线与直线 + ( . / ( / & ’ 垂直，导函数 *（ 0 +）的最小值为 ( "% ! （"）求函数（ * +）的解析式；（%）求函数（ * +）的单调增区间，并求函数（ * +）在［ ( "， !］上的最大值和最小值!
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第!卷（非选择题$ 共 %& 分）
# $# ## "0 ! 若斜率为! 的直线 & 与椭圆 # - # . " （ ’ 1 ( 1 &）有两 # ’ ( 个不同的交点，且这两个交点在 $ 轴上的射影恰好是椭圆的两个焦点，则该椭圆的离心率为$ $ $ $ $ ! "( ! （理）已知球的半径为 # ，用互相垂直的两个平面分别截则两圆圆球面得到两个圆，若这两个圆的公共弦长为 # ，心的距离是$ $ $ $ $ ! （文）一个正四棱柱的各个顶点都在一个直径为 # 2+ 的球面上，如果正四棱柱的底面边长为 " 2+，那么该棱柱的表面积为$ $ $ $ $ 2+# ! 三、解答题：本大题共 ( 小题，共 3’ 分，解答应写出文字说明、证明过程或演算步骤! "3 ! （本小题满分 "# 分）角 )、 *、 + 所对的边长分别为 ’、 (、 ,，已知在0)*+ 中，向量 ! .（ " ， #4*5 ) ）， " .（ 4*5 )， " - 264 ) ），且满足 ! *"， ( - , .! ! ’! （"）求角 ) 的大小； " （#）求 4*5 （* - ）的值! (

陕西省西安地区八校2022-2023学年高三下学期第一次联考英语试卷含解析

2022-2023学年高考英语模拟试卷注意事项：1．答卷前，考生务必将自己的姓名、准考证号、考场号和座位号填写在试题卷和答题卡上。

用2B铅笔将试卷类型（B）填涂在答题卡相应位置上。

将条形码粘贴在答题卡右上角"条形码粘贴处"。

2．作答选择题时，选出每小题答案后，用2B铅笔把答题卡上对应题目选项的答案信息点涂黑；如需改动，用橡皮擦干净后，再选涂其他答案。

答案不能答在试题卷上。

3．非选择题必须用黑色字迹的钢笔或签字笔作答，答案必须写在答题卡各题目指定区域内相应位置上；如需改动，先划掉原来的答案，然后再写上新答案；不准使用铅笔和涂改液。

不按以上要求作答无效。

4．考生必须保证答题卡的整洁。

考试结束后，请将本试卷和答题卡一并交回。

第一部分（共20小题，每小题1.5分，满分30分）1．Some people suggest changing the date for the college entrance exams into ______ Saturday and Sunday of the first week of June, which I think is ______ good advice.A．/ ; / B．the; the C．the; a D．the; /2．Don’t forget to send ______ attended the conference a follow-up email.A．however B．whateverC．whoever D．wherever3．—What a pity! You missed my birthday party.—Terribly sorry!___________my uncle not visited me unexpectedly.A．Should B．WouldC．Had D．Did4．--- My God! I haven’t prepared the files for the new project yet!--- _______. The boss won’t need it until next Friday.A．There’s no doubt B．There’s no panic C．Good luck D．Sounds good5．I was unaware of the critical points involved, so my choice was quite _______.A．arbitrary B．reasonable C．mechanical D．conventional6．"They didn’t take measures in time, otherwise the explosions ____．"some experts said．A．wouldn’t happen B．didn’t happenC．would n’t have happened D．mustn’t have happened7．－I was afraid I would miss the important lecture.－Oh, was that why you _______asking me to speed up?A．had kept B．are keepingC．would keep D．kept8．That children ______meet with setbacks is a matter of necessity as they_____, so parents don’t worry about that. A．shall; grew up B．must；grew up C．can; grow up D．will; grow up9．What you said doesn’t ________ what the police have told us, so we have to find more evidence.A．agree with B．make upC．contribute to D．show off10．Sit down, Emma. You will only make yourself more tired, on you feet.A．to keep B．keeping C．having kept D．to have kept11．—What did she want to know, Tom?—She wondered we could complete the experimentA．when was it that B．it was when thatC．it was when D．when it was that12．The news came as no surprise to me. I ______ for some time that the factory was going to shut down.A．had known B．knewC．have known D．know13．Please don’t make so loud noise．The news of the volcanic eruption in Indonesia ____and I want to listen．A．is broadcast B．is being broadcastC．has been broadcast D．had been broadcast14．Japan has been trying to bring its nuclear crisis under ____ control, but ____ spread of radiation has raised concerns about the safety of the nuclear energy.A．a; the B．the; / C．/; the D．a; /15．—“Do you mind if I look at your notes?”—“Of course not. _______.”A．No problem B．Be my guest C．With pleasure D．Not at all16．When it comes to in public, no one can match him.A．speak B．speaking C．being spoken D．be spoken17．Newly-built wooden cottages line the street，___________ the old town into a dreamland.A．turned B．turningC．to turn D．having turned18．The famous book Frankenstein, ________ by British novelist Mary Shelley, is the first work of science fiction. A．writing B．having writtenC．written D．was written19．His suggestion_______to see the film Avatar interested every one of us.A．that we go B．which we should go C．that we would go D．we should go20．The inner thoughts of the two young persons are revealed in the book, ______ both of them fail to express. A．where B．whenC．who D．which第二部分阅读理解（满分40分）阅读下列短文，从每题所给的A、B、C、D四个选项中，选出最佳选项。

陕西省西安地区八校2018届高三联考理科综合物理试题(解析版)

陕西省西安地区八校2018届高三联考理科综合物理试题一、选择题：1. 物体从静止开始做匀加速直线运动，测得它在第n秒内的位移为s，则物体运动的加速度为A. B. C. D.【答案】D【解析】根据第n秒内的位移为s，可以算出s时的速度为，根据解得：故D正确；故选D2. 质量为m的物体以初速度开始做平抛运动，经过时间t，速率变为v，经过时间2t，速率变为A. B. C. D.【答案】C【解析】由题意可知则2t后的速度为整理解得：故C正确故选C3. 根据英国天空新闻等多家媒体3月14日消息，史蒂芬·威廉·霍金去世，享年76岁，这一消息已经得到霍金家人确认，霍金的主要研究领域是宇宙论和黑洞，证明了广义相对论的奇性定理和黑洞面积定理，提出了黑洞蒸发现象和无边界的霍金宇宙模型，若某黑洞的半径R约为45km，质量M和半径R的关系满足，其中c为光束，G为引力常量，则该黑洞表面重力加速度的数量级为A. B. C. D.【答案】C【解析】黑洞表面重力加速度由万有引力提供，即，则代入数据得：故C正确故选C4. 能源是社会发展的基础，发展核能是解决能源问题的途径之一，核能作为一种新能源在现代社会中已不可缺少，我国在完善核电安全基础上将加大核电站建设规模，核泄漏中的钚（Pu）是一种具有放射性的超铀元素，它可破坏细胞基因，提高罹患癌症的风险，已知钚的一种同位素的半衰期为24100年，其衰变方程为，下列有关说法正确的是A. X原子核中含有92个中子B. 100个经过24100年后一定还剩余50个C. 由于衰变时释放巨大的能量，根据，衰变过程总质量增加D. 衰变发出的射线是波长很短的光子，具有很强的穿透能力【答案】D【解析】A项，由方程式可计算，原子核含质子92个，中子143个，故A项错误。

B项，放射性元素的衰变规律是统计规律，对大量的原子核衰变才有意义，100个原子核过少，不一定在半衰期后只剩余一半，故B项错误。

陕西省西安市名校2023-2024学年中考联考英语试卷含答案

陕西省西安市名校2023-2024学年中考联考英语试卷含答案注意事项1．考试结束后，请将本试卷和答题卡一并交回．2．答题前，请务必将自己的姓名、准考证号用0．5毫米黑色墨水的签字笔填写在试卷及答题卡的规定位置．3．请认真核对监考员在答题卡上所粘贴的条形码上的姓名、准考证号与本人是否相符．4．作答选择题，必须用2B铅笔将答题卡上对应选项的方框涂满、涂黑；如需改动，请用橡皮擦干净后，再选涂其他答案．作答非选择题，必须用05毫米黑色墨水的签字笔在答题卡上的指定位置作答，在其他位置作答一律无效．5．如需作图，须用2B铅笔绘、写清楚，线条、符号等须加黑、加粗．Ⅰ. 单项选择1、He didn’t wake up he heard the noise.A．until B．while C．if D．because2、David Burt’s dream in China is to go into the west and ______ an early childhood school there.A．clean up B．look up C．give up D．set up3、Look at my new jeans. My mother gave ________ to me for ________ birthday.A．it; me B．them; my C．they; mine D．its; I4、My uncle regretted his house in Shanghai last year, because the house price keeps rising.A．sell B．to sell C．selling D．sold5、I failed to catch the last bus on the cold winter night and I couldn’t feel ________.A．terrible B．the more terrible C．more terrible D．the most terrible6、一Did you have a discussion with him about the matter?一No. When I saw him, he his history project busily.A．was preparing B．prepares C．has prepared D．prepared7、Her sister goes to the Music Club _______ every Monday morning.A．at B．/ C．on D．in8、— I think the plan is just a waste of time. What do you think?—Well, if you don’t support t he plan, ________.A．neither do I B．so do I C．neither will I D．so will I9、– ________ is it from our school to Nianhua Bay?– About 40 minutes by coach. Wanna go?A．How long B．How far C．How soon D．How much10、Sandy is used to looking for a while at in the mirror before going out.A．she B．her C．hers D．herselfⅡ. 完形填空11、The passengers on the bus watched with sympathy(同情)as Susan made her way carefully up the steps. She paid for the drive and then，using her hands to 1 the seats, settled(安顿)in one of them.It had been a year since Susan became blind. As the result of an accident she was suddenly thrown into a world of2 . Susan’s husband Mark watched her fall into hopelessness and he decided to use every possible means to help his wife.Finally, Susan felt ready to 3 to her job，but how would she get there? She used to take the bus, but she was now too afraid of getting around the city by herself. Mark volunteered to ride the bus with Susan each morning and evening until she could 4 it by herself.For two weeks, Mark went with Susan to and from 5 each day. He taught her how to depend on her other6 , specifically her hearing, to decide where she was.At last, Susan decided that she was 7 to try the trip on her own. Monday morning arrived. Before she left, she held her husband tightly, her eyes filled with tears of thankfulness. She said good-bye and, for the first time, they went their 8 ways. Each day went 9 , and a wild excitement took hold of Susan. She was doing it!On Friday morning, Susan took the bus to work as 10 . As she was getting off the bus, the driver said, “Miss, I sure 11 you.” Surprisingly, Susan asked the driver 12 .“You know, every morning for the 13 week, a fine-looking gentleman in a military uniform has been standing across the corner watching you until you enter your office building 14 ,” the bus driver said.Tears of happiness ran down Susan’s cheeks. She was so lucky for he had given her a gift more powerful than 15 . That is the gift of love that can bring light where there is darkness.1．A．feel B．choose C．count D．touch2．A．weakness B．sickness C．darkness D．sadness3．A．return B．keep C．belong D．stick4．A．try B．manage C．control D．follow5．A．home B．hospital C．school D．work6．A．feelings B．parts C．senses D．skills7．A．busy B．happy C．ready D．willing8．A．opposite B．separate (分开的) C．fixed D．normal9．A．terribly B．perfectly C．sadly D．badly10．A．possible B．usual C．if D．often11．A．admire B．respect C．know D．support12．A．what B．how C．why D．where13．A．next B．same C．first D．past14．A．quickly B．silently C．happily D．safely15．A．courage B．direction C．sight D．serviceⅢ. 语法填空12、语法填空阅读下面短文，按照句子结构的语法性和上下文连贯的要求，在空格处填入一个适当的词或使用括号中词语的正确形式填空。

2023届陕西西安地区八校高三第二次联考英语试卷含解析

2023届高考英语模拟试卷请考生注意：1．请用2B铅笔将选择题答案涂填在答题纸相应位置上，请用0．5毫米及以上黑色字迹的钢笔或签字笔将主观题的答案写在答题纸相应的答题区内。

写在试题卷、草稿纸上均无效。

2．答题前，认真阅读答题纸上的《注意事项》，按规定答题。

第一部分（共20小题，每小题1.5分，满分30分）1．The medicine should usually be kept out of the ________ of children at home.A．distance B．reachC．limit D．arrival2．The rising house price and the high income tax rate have become the biggest ______ of the ordinary people in China today．A. concernB. influenceC. involvementD. occupation3．The shocking news made me realize ______ terrible problems we would face.A. that B．how C．what D．why4．The Palace of Versailles, France’s national treasure, has ________ many changes in its century-long history while keeping its beauty.A．gone through B．taken onC．led to D．showed off5．—Let’s go and have dinner this evening.—_____. Have you come out first in the exam?A．Thanks a lot. B．Why not?C．What for? D．Yes, I’d like to.6．A good suitcase is essential for someone who is ______ as much as Jackie is.A．on the rise B．on the lineC．on the spot D．on the run7．I called her nearly ten minutes this morning, but I couldn’t ________.A．get through B．go through.C．live through D．look through8．Believe it or not, it is ________________ that causes your illness.A．because of your being overweight B．because you are overweightC．you are so overweight D．your being overweight9．—How I wish I had worked harder when I was in that company.—If you had, you _________ a department manager now.A．are B．would beC．would have been D．were10．The important thing in life is to have a great aim, and the ________ to achieve it.A．acquisition B．comprehensionC．determination D．satisfaction11．The Small Goose Pagoda in Xi’an, one of the 22 Silk Road relics located in China, _______ back in 707 during th e Tang Dynasty.A．dated B．was datedC．dates D．is dating12．Jane went to her teacher just now. She ________ about the solution to the problem.A．wondered B．was wondering C．had wondered D．would wonder13．Though he lacks experience, the arrangements are all _______ for the meeting next Thursday ahead of time.A．in particular B．in place C．in preparation D．in time14．In the early morning all of us stood at the top of the mountain ___________ east of the city, watching__________burning sun rising.A．/; a B．the; aC．the; the D．/; the15．To make a breakthrough in his scientific research, the scientist has been making a(n) _____amount of effort. A．modest B．miserableC．optional D．tremendous16．According to the company’s rule, one’s payment is ______ th e work done, not to the time spent doing it.A．in proportion to B．in addition toC．in contrast to D．in regard to17．Nowadays with the development of science, more and more new technology____ to the fields of IT.A．has introduced B．was introducedC．will introduce D．is being introduced18．Our society would be better off but for the fact that the economy ________ by the current global financial crisis. A．had been affected B．were affectedC．should be affected D．is affected19．While interacting with people in India, I was ________ to a way of life completely different from my own. A．reduced B．exposed C．committed D．transferred20．_______ a record-breaking seven Golden Globes, the musical La La Land surprisingly does not appeal to Chinese viewers.A．Winning B．WonC．Having won D．To win第二部分阅读理解（满分40分）阅读下列短文，从每题所给的A、B、C、D四个选项中，选出最佳选项。

陕西省西安市八校2011届高三联考理科数学试题(Word版)

西安地区：陕师大附中、西安高级中学、西安高新一中、西安交大附中、西安市八十三中、西安一中、西安铁一中、西安中学、西工大附中“八校”联考2011届高三年级数学(理科)试题本试卷分第Ⅰ卷(选择题)和第Ⅱ卷(非选择题)两部分, 共150分, 考试时间120分钟. 注意事项:1. 答题前,考生务必先将自己的姓名、准考证号填写在答题纸上,认真核对条形码上的姓名、准考证号，并将条形码粘贴在答题纸上的指定位置上。

2. 选择题答案使用2B 铅笔填涂，如需改动，用橡皮擦干净后，再选涂其它答案标号；非选择题答案用0.5毫米的黑色中性（签字）笔或碳素笔书写，字体工整，笔迹清楚。

3. 请按照题号各题的答案区域（黑色线框）内作答，超出答案区域书写的答案无效。

4. 保持纸面清洁，不折叠，不破损。

5. 做选考题时，考生按照题目要求作答，并用2B 铅笔在答题纸上把所选择题目对应的题号涂黑。

第Ⅰ卷(选择题共50分)一. 选择题: (本大题共10小题, 每小题5分, 共50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. 已知集合{}{}2|4,|4,P x x Q x x x R =<=<∈, 则( ) A. P Q ⊆ B. Q P ⊆ C. R P Q ⊆ð D. R Q P ⊆ð2. 1iz i=-, 在复平面上对应的点位于( ) A. 第一象限 B. 第二象限 C. 第三象限 D. 第四象限3. 设n S 为等比数列{}n a 的前n 项和, 2580,a a += 则52SS =( )A. 11B. 5C. 8-D. 11-4.已知函数()cos (0),f x x x ωωω=+> 若函数()y f x =的图象与直线2y =的相邻两个公共点间的距离为π, 则()f x 的单调递增区间是( )A. 5,1212k k ππππ⎡⎤-+⎢⎥⎣⎦ k Z ∈B. 511,1212k k ππππ⎡⎤++⎢⎥⎣⎦k Z ∈ C. 2,63k k ππππ⎡⎤++⎢⎥⎣⎦ k Z ∈ D. ,36k k ππππ⎡⎤-+⎢⎥⎣⎦k Z ∈ 5. 已知函数1()ln xf x x e ⎛⎫=- ⎪⎝⎭, 若实数0x 是函数的零点, 且100x x <<, 则1()f x ( )A. 大于0B. 等于0C. 小于0D. 不大于06. 一空间几何体的三视图如图所示,则该几何体的体积为( )A. 2π+B. 4π+C. 2πD. 4π+7. 已知椭圆C 的方程是22221(0),x y a b a b+=>> 其左顶点为A , 左、右焦点分别为1F 、2F , D 是它短轴上的一个顶点,若1232DF DA DF =+, 则该椭圆的离心率为( ) A.12 B. 13 C. 14 D. 158. 已知,a b 是实数, 则“2a >, 且2b >”是“4a b +>, 且4ab >”的( ) A. 充分不必要条件 B. 必要不充分条件 C. 充分必要条件 D. 既不充分又不必要条件9. 如果执行如图的程序框图, 输入正整数,n m 满足,n m ≥ 那么输出的P 等于( )A. 1m n C -B. 1m n A -C. m n CD. mn A10. 一条直线型生产线上从左往右依次有机器人1α, 2α, 3α,4α, 5α, 6α, 其中相邻两个的间隔距离均为2，现在要在该生产线上选择一个位置放置工具箱, 若到六个机器人的距离之和最小的位置为最佳工具位置, 则最佳位置与机器人1α的距离需且只需满足( )A. 2d =B. 46d ≤≤C. 13d ≤≤D. 06d ≤≤第Ⅱ卷(非选择题共100分)二. 填空题:(本大题共5小题, 每小题5分, 共25分. 把答案填写在题中的横线上.) 11. 圆222210x y x y +-++=的圆心到直线10x y -+=的距离是 .12. 若1()n x x+的展开式的二项式系数之和为64, 则展开式中常数项为 .13. 已知正数,x y 满足20,350x y x y -⎧⎨-+⎩≤≥则11()()42x y z =⋅的最小值为 .14. 如图所示, 在一个边长为1的正方形AOBC 内, 曲线2y x =和y =围成一个叶形图(阴影部分). 向正方形AOBC 内随机投一点(该点落在正方形AOBC内任一点是对等可能的), 则所投的点落在叶形图内部的概率是15. (考生注意: 请在下列三题中任选一题作答, 如果多做, 则按所做的第一题评分.)A. (不等式选做题)不等式112x x +>+的解集为 .B. (几何证明选做题)如图, 已知,EB EC 是O 的两条切线, ,B C 是切点. ,A D 是O 上两点, 如果46E ∠= ,32DCF ∠= , 则A ∠的度数为C. (坐标系与参数方程选做题) 已知直线3sin 40:1cos40x t l y t ⎧=+⎪⎨=-+⎪⎩(t 为参数), 则直线l 的倾斜角为三. 解答题: (本大题共6小题,共75分. 解答应写出文字说明、证明过程或演算步骤) 16. (本小题满分12分)已知数列{}n a 的前n 项和22.n S n n =+ 其中*n N ∈ (1)求数列{}n a 的通项公式; (2)设11,n n n b a a +=⋅ 记数列{}n b 的前n 项和为n T , 求证: 16n T <.17. (本小题满分12分)在ABC ∆中, 角,,A B C 所对的边的长分别是,,a b c 且1cos 3A =. (1)求2sin cos22B CA ++的值; (2)若a 求bc 的最大值.18. (本小题满分12分)如下图(1)所示,已知正方形AMCD 的边长为2, 延长AM , 使得M 为AB 的中点, 连结AC . 现将A D C ∆沿AC 折起, 使平面A D C ⊥平面ABC ,得到几何体,D ABC - 如图(2)所示. (1)求证: BC ⊥平面ACD ;(2)求平面ACD 与平面MCD 的夹角的余弦值.19. (本小题满分12分)为了推动21世纪高等院校科研的发展,从某市“交通大学”,“工业大学”,“电子科技大学”三所“211工程”重点院校的相关教师中, 用分层抽样的方法抽取若干人组成研究小组, 有关数据如下表. (单位:人)高校相关教师人数抽取人数交通大学54 x电子科技大学36 4工业大学18 y(1)求,x y的值;(2)若从“工业大学”,“电子科技大学”两所院校抽取的人中选2人为代表作专业报告. 求这2人中至少有一人是来自“工业大学”的概率.20. (本小题满分13分)在双曲线2222:1(0,0)x yC a ba b-=>>中, 过焦点垂直于实轴的弦长为焦点到一条渐近线的距离为1.(1)求该双曲线的方程;(2)若直线:(0,0)l y kx m k m=+≠≠与双曲线交于,A B两点, (,A B不是左右顶点), 且以AB为直径的圆过双曲线C 的右顶点.求证: 直线l过定点, 并求出该定点的坐标21. (本小题满分14分)已知函数().f x mx=(1)当1m=-时, 求函数()f x的最大值;(2)若()f x为定义域上的单调函数, 求实数m的取值范围;(3)当1m=时, 且10a b>≥≥, 证明: 4()()2. 3f a f ba b-<<-西安地区“八校”2011届高三联考数学试题(理科)参考答案一. 选择题(每小题5分, 共50分)题号1 2 3 4 5 6 7 8 9 10 答案B B D D ACD A D B二. 填空题(每小题5分, 共25分) 11.12. 20 13. 116 14. 1315. A. 3(,2)(2,)2-∞--- B. 99 C. 50三. 解答题(本大题共6小题, 共75分) 16. (本小题满分12分)解: (1)由22n S n n =+得 1n =时, 113a S == ------------------------2分当2n ≥时, 221(2)[(1)2(1)]n n n a S S n n n n -=-=+--+- ------------3分 *21()n n N =+∈ -----------------------5分显然13a =符合21n a n =+ 故21n a n =+*()n N ∈ -------------------6分 (2)1111[](21)(23)22123n b n n n n ==-++++ -----------------------7分∴121111111[()()()235572123n n T b b b n n =++⋅⋅⋅+=-+-+⋅⋅⋅+-++ ----------------9分11111[]2323646n n =-=-++ ----------------------11分 ∵1046n >+, 则16n T < -----------------------12分 17. (本小题满分12分) 解: (1) 由1cos 3A =得27cos22cos 19A A =-=- ---------------------2分故21cos()sin cos2cos222B C B C A A +-++=+ ---------------------3分 1cos cos22AA +=+ ----------------------------4分 11713()299+=+-=- ------------------------------6分 (2)∵2221cos 23b c a A bc +-== 且*,b c R ∈ ------------------8分故222b c bc +≥又a ∴2222331222b c a bc bc bc bc +--=-≥ -----------------------10分从而13132bc -≥ ∴3223bc ≥ 故94bc ≤当且仅当32b c ==时, bc 取得最大值94--------------------------12分18. (本小题满分12分)解: 在图1中,可得AC BC == 从而222,AC BC AB +=故AC BC ⊥ 取AC 的中点O , 连结DO, 则DO AC ⊥, 又面ADC ⊥面ABC ,面ADC 面ABC AC =, DO ⊂面ACD ,从而OD ⊥平面ABC , ------------4分 ∴OD BC ⊥又,AC BC AC OD O ⊥= ,∴BC ⊥平面ACD ----------------------------6分另解: 在图1中,可得AC BC == 从而222,AC BC AB +=故AC BC ⊥ ∵面ADC ⊥面ABC ,面ADC 面ABC AC =, BC ⊂面ABC ,从而BC ⊥平面ACD . (2)建立空间直角坐标系O xyz -如图所示, 则(M C DCM CD ==----------------------8分设1(,,)n x y z =为面CDM 的法向量,则1100n CM n CD ⎧⋅=⎪⎨⋅=⎪⎩即00==, 解得y x z x =-⎧⎨=-⎩ 令1x =-, 可得1(1,1,1)n =- 又2(0,1,0)n =为面ACD 的一个法向量∴121212cos ,||||n n n n n n ⋅<>==∴平面ACD 与平面MCD. ----------------------12分 19. (本小题满分12分)(1)由题意可得:5436184x y== 解得6,2x y == -------------------6分 (2)记事件A :从“工业大学” 、“电子科技大学”两所院校抽取的人中选2人为代表作专业报告,至少有一人来自“工业大学”,则A 包含基本事件的共1122429C C C ⋅+=种 ----------------------------9分另外从两所高校中共6人抽取2人作专业报告, 基本事件共有2615C =种,故93()155P A == -----------------12分 20. (本小题满分13分) 解: (1)由已知得2211b ab a ⎧=⎪⎪⇒=⎨=----------------4分∴双曲线的方程为2213x y -= -----------------5分(2)设1122(,),(,),A x y B x y 联立2233y kx mx y =+⎧⎨-=⎩得 222(13)63(1)0k x kmx m ---+= ----------------6分则2236k m ∆=2212(1)(13)0m k ++-> 化简得22130m k +->由韦达定理得21212223(1),1331bkm m x x x x k k ++==-- -------------------7分∵以AB 为直径的圆过双曲线的右顶点M∴0,MA MB ⋅=即1212(0x x y y += -------------------8分又2212121212()()()y y kx m kx m k x x km x x m =++=+++∴221212(1)()30k x x km x x m +++++=整理得2260m k ++=解得: m =或m =-均满足22130m k +-> -----------------10分当3m k =-时, :(l y k x =此时过定点(3,0)与已知矛盾,((3,0)为双曲线的右顶点)当m =-时, :(l y k x =-此时又过定点()符合题意.∴直线l 过定点,定点坐标为() --------------------------13分 21. (本小题满分14分)解: (1)1m =-时, 1()()2f x x x =>则1112()2112121212xf x x x x -'=⋅⋅-=-=+++ ----------------1分令()0f x '=得0x =, 令()0f x '>得102x -<<, 令()0f x '<得0x >故()f x 在1(,0)2-上递增, 在(0,)+∞上递减 -----------------------2分所以max ()(0)0f x f == -----------------------3分(2)依题意()0f x '≥或()0f x '≤恒成立, 1(,)2x ∈-+∞ ----------------------4分∵1()ln(12)2f x mx x mx ==++∴11()()122f x m x x '=+>-+ ----------------------------5分 ∵1012x >+, 故不存在m R ∈,使得1()012f x m x'=++≤恒成立 ---------------6分若()0f x '≥对一切1(,)2x ∈-+∞恒成立.则112m x -+≥对一切1(,)2x ∈-+∞恒成立 -----------------------------7分 ∵1012x-<+ ∴0m ≥ 此时1()012f x m x '=+>+对一切1(,)2x ∈-+∞恒成立故当[0,)m ∈+∞时,()f x 为在定义域上的单调函数. ----------------------8分 (3)当1m =时,令411()()ln(12)323g x f x x x x =-=+- -------------------9分则112(1)()1233(12)x g x x x -'=-=++, 当[]0,1x ∈时, 总有()0g x '≥ 即()g x 在[]0,1上递增当01b a <≤≤时, ()()g b g a <即44()()4()()333f a f b f b b f a a a b --<-⇒>- ------------------------12分令1()()2ln(12),2h x f x x x x =-=+- 则由(1)知()h x 在[]0,1上递减∴()()h a h b <即()2()2,()()2()f a a f b b f a f b a b -<--<- ∵0a b ->, ∴()()2f a f b a b-<-综上可得4()()23f a f b a b-<<-成立, 其中01b a <≤≤ ------------------14分。

陕西省西安市2023-2024学年高一上学期八校联考期中英语试题

陕西省西安市2023-2024学年高一上学期八校联考期中英语试题学校:___________姓名：___________班级：___________考号：___________一、阅读理解Career DayCome Look at Your Future!So Many Questions. . .> What should I be when I grow up?> What is it really like being a pharmacist?> What kind of people sell real estate?You’ll need to find answers to questions like these within the next four years. Get started at Career Day. Talk with people who work at a variety of interesting jobs. Find out which high school electives will best prepare you for your career interests.Even More AnswersThink all construction (建筑) workers swing a hammer? Some do, but others specialize in pluming, electrical, tiling, carpet laying, or roofing. Some construction workers design buildings, issue permits, inspect work, or write building safety codes. Learn about the range of jobs in many different industries at Career Day.Industries Represented●Education●Biotechnology●Medicine●Journalism●Law Enforcement●Accounting●Sportscasting●Agriculture●Computer Technology●Construction●Real Estate●Hospitality1．What is the purpose of this flier?A．To help students get prepared for future tests in different jobsB．To encourage students to come to explore their possible workC．To learn about the differences of a variety of industriesD．To get advice on learning strategies from the Counseling Office2．What can students do at Career Day?A．Talk with people offering jobs B．Learn about stories of construction workersC．Experience interesting industries D．Discover the most suitable optional courses3．Which industry is not included in the flier?A．Advertising.B．Building.C．Medicine.D．Agriculture.Nyota had just arrived at the school’s track and put on her volunteer name tag when her best friend, Lily, came up. “I’m sorry that you can’t participate in the track meet today,” said Lily.“I am, too,” Nyota replied, looking at the track in front of her. Nyota had fallen and fractured her wrist the previous week while training for the long jump, so she was volunteering to sell refreshments instead of competing along with her teammates.Nyota wished Lily good luck and watched her friend run over to the track as spectators started to arrive. Nyota knew she should head over to the stand, but she kept staring at the place where she had fallen. “What’s the point of being here?” Nyota thought to herself.Just then, she heard a friendly voice behind her say, “Hello, Nyota! Can you help me find a seat?” It was Mrs. Ogaz, Lily’s grandmother, whom Nyota knew well. “I want to sit uphigh so I can see, but I need help going up the stairs.”“I would love to help you, Mrs. Ogaz,” replied Nyota.Mrs. Ogaz leaned on Nyota’s good arm as they carefully climbed up the bleachers to a spot with a great view of the finish line. “Thank you so much! You’re very helpful.” Mrs. Ogaz’s comment lifted Nyota’s spirits.Nyota hurried over to the stand and started selling soft drinks. Before she knew it, the track meet was over. After the last winner had accepted his ribbon, the principal made an announcement to thank all of the student volunteers who had helped out at the meet. Nyota turned and caught sight of Mrs. Ogaz, whose eyes lit up. Nyota beamed back.4．Why couldn’t Nyota compete in the track meet?A．Lily took her place.B．She volunteered to sell refreshments.C．She got injured accidentally.D．She was training for the long jump. 5．Why did Nyota think that it was pointless to be there?A．She couldn’t win honor and glory for her class.B．She felt discouraged about being unable to compete.C．She was awkward in the stand selling soft drinks.D．She lost heart after Lily comforted her6．What does the underlined word “beamed” in the last paragraph mean?A．Waved B．Greeted C．Admired D．Smiled 7．Which of the following can be the best title for the text?A．A Track Meet B．A Helpful FriendC．A Winning V olunteer D．A Beautiful SmileWhy do Americans struggle with watching their weight, while the French, who consume （消耗）rich food, continue to stay thin? Now a research by Cornell University suggests how life style and decisions about eating may affect weight. Researchers concluded that the French tend to（往往，倾向于）stop eating when they feel full. However, Americans tend to stop when their plate is empty or their favorite TV show is over.According to Dr. Joseph Mercola, a health expert, the French see eating as an important part of their life style. They enjoy food and therefore spend a fairly long time at the table, while Americans see eating as something to be squeezed（挤出）between the other daily activities. Mercola believes Americans lose the ability to sense when they are actuallyfull. So they keep eating long after the French would have stopped. In addition, he points out that Americans drive to huge supermarkets to buy canned and frozen foods for the week. The French, instead, tend to shop daily, walking to small shops and farmers’ markets where they have a choice of fresh fruits, vegetables, and eggs as well as high-quality meats for each meal.After a visit to the United States, Mireille Guiliano, author of French Women Don’t Get Fat, decided to write about the importance of knowing when to stop rather than suggesting how to avoid food. Today she continues to stay slim and rarely goes to the gym.In spite of（尽管）all these differences, evidence shows that recent life style changes may be affecting French eating habits. Today the rate of obesity — or extreme overweight — among adults is only 6%. However, as American fast food gains acceptance and the young reject（拒绝）older traditions, the obesity rate among French children has reached 17% — and is growing.8．In what way are the French different from Americans according to Dr. Joseph Mercola?A．They go shopping at supermarkets more frequently.B．They squeeze eating between the other daily activities.C．They regard eating as a key part of their lifestyles.D．They usually eat too much canned and frozen food.9．This text is mainly the relationship between _________.A．Americans and the FrenchB．life styl e and obesityC．children and adultsD．fast food and overweight10．The text is mainly developed __________.A．by contrast （对比）B．by space C．by process（变化过程）D．by classification（分类）11．Where does this text probably come from?A．A TV interview B．A food advertisementC．A health report D．A book review（书评）In the depths of the French Guianese rainforest, there still remain unusual groups of indigenous(土著的) people. Surprisingly, these people live largely by their own laws and their own social customs. And yet, people in this area are in fact French citizens because ithas been a colony of the French Republic since 1946. In theory, they should live by the French law. However, their remote locations mean that the French law is often ignored or unknown, thus making them into an interesting area of “lawlessness” in the world.The lives of these people have finally been recorded thanks to the effects of a Frenchman form Paris called Gin. Gin spent five months in early 2015 exploring the most remote corners of thin area, which sits on the edge of the Amazon rainforest, with half its population of only 250,000 living in its capital, Cayenne.“I have a special love for the French Guianese people. I have worked there on and off for almost ten years,” says Gin. “I’ve been able to keep firm friendships with them. Thus I have been allowed to gain access to their living environment. I don’t see it as a lawless land. But rather I see it as an area of freedom.”“I wanted to show the audience a photographic record touching upon the uncivilized life,” continues Gin. “I prefer to work in black and white, which allows me to show different specific worlds more clearly.”His black-and-white pictures present a world almost lost in time. These pictures show people seemingly pushed into a world that they were unprepared for. These local citizens now have to balance their traditional self-supporting hunting lifestyle with the lifestyle offered by the moderm French Republic,which bring with it not only necessary state welfare, but also alcoholism, betrayal and even suicide.12．Why does the author feel surprised about the indigenous people in French Guiana?A．They seldom follow the French law.B．They often ignore the Cuianese law.C．They are separated the modem world.D．They are both Cuianese and French citizens.A．a tour guide B．a geographerC．a film director D．a photographer14．What is Gin's attitude towards the lives of indigenous Guianese?A．Cautious.B．Doubtful.C．Uninterested D．Apprecitive.15．What does the underlined word “it” in the last paragraph refer to?A．The modera Frrnch lifestyle.B．The self-supporting hunting.C．The uncivilized world.D．The French Republic.二、七选五If you are already making the time to exercise, it is good indeed! With such busy lives, itprovides additional benefits beyond being physically fit.Your productivity is improved. Exercising makes you more awake and ready to handle whatever is ahead of you for the day. 17Your metabolism(新陈代谢) gets a head start. 18 If you work out in the mornings, then you will be getting the calorie(卡路里) burning benefits for the whole day, not in your sleep.19 Studies found that people who woke up early for exercise slept better than those who exercised in the evening. Exercise energizes you, so it is more difficult to relax and have a peaceful sleep when you are very excited.20 If you work out bright and early in the morning, you will be more likely to stick to healthy food choices throughout the day. Who would want to ruin their good workout by eating junk food? You will want to continue to focus on positive choices.There are a lot of benefits to working out, especially in the mornings. Set your alarm clock an hour early and push yourself to work out! You will feel energized all day long.A．You will stick to your diet.B．Your quality of sleep improves.C．You prefer healthy food to fast food.D．There is no reason you should exercise in the morning.E．You can keep your head clear for 4-10 hours after exercise.F．After you exercise, you continue to burn calories throughout the day.G．If you are planning to do exercise regularly, or you’re doing it now, then listen up!三、完形填空One morning, Ann’s neighbor Tracy found a lost dog wandering around the local elementary school. She asked Ann if she could keep an eye on the dog. Ann said that shecould 21 it only for the day.Tracy took photos of the dog and 22 400 FOUND fliers, and put them in mailboxes. Meanwhile, Ann went to the dollar store and bought some pet supplies, 23 her two sons not to fall in love with the dog. At the time, Ann’s son Thomas was 10 years old, and Jack, who was 24 from a heart operation, was 21 years old.Four days later Ann was 25 looking after the dog, whom they had started to call Riley. When she arrived home from work, the dog 26 itself against the screen door and barked 27 at her. As soon as she opened the door, Riley dashed into the boys’ room where Ann found Jack 28 from a heart attack. Riley ran over to Jack, but as soon as Ann bent over to help him the dog went 29 .“If it hadn’t come to 30 me, the doctor said Jack would have died,” Ann reported to a local newspaper. At this point, no one had called to claim the dog, so Ann decided to 31 it.The next morning Tracy got a call. A man named Peter 32 his lost dog and called the number on the flier. Tracy started crying, and told him, “That dog 33 my friend’s son.” Peter drove to Ann’s house to 34 his dog, and saw that Thomas and Jack were 35 in the window. After a few moments Peter said, “Maybe Odie was supposed to find you, maybe you should keep it.”21．A．protect B．track C．raise D．watch 22．A．gave out B．printed off C．spread out D．put up 23．A．wanting B．expecting C．warning D．recommending 24．A．returning B．recalling C．recovering D．revising 25．A．even B．still C．just D．ever 26．A．threw B．pressed C．lay D．rested 27．A．excitedly B．obviously C．madly D．immediately 28．A．suffering B．shouting C．surviving D．sweating 29．A．curious B．amazed C．wild D．silent 30．A．ask B．get C．request D．pull 31．A．train B．love C．feed D．keep 32．A．remembered B．checked C．recognized D．compared 33．A．found B．saved C．contacted D．attracted 34．A．pick up B．meet with C．check out D．leave behind35．A．annoyed B．confused C．frightened D．heartbroken四、用单词的适当形式完成短文阅读下面材料，在空白处填入适当的内容(1个单词) 或括号内单词的正确形式。

2023届陕西省西安地区八校高三第三次测评英语试卷含解析

2023年高考英语模拟试卷注意事项1．考生要认真填写考场号和座位序号。

2．试题所有答案必须填涂或书写在答题卡上，在试卷上作答无效。

第一部分必须用2B 铅笔作答；第二部分必须用黑色字迹的签字笔作答。

3．考试结束后，考生须将试卷和答题卡放在桌面上，待监考员收回。

第一部分（共20小题，每小题1.5分，满分30分）1．worries the public that air pollution is becoming more and more serious these days.A．It B．That C．What D．This2．— I like your new shoes!— Thanks. I had to try on almost a dozen pairs _________ I decided to get them.A．as B．whenC．after D．before3．________is known to us is that tobacco contains nicotine and other harmful products，so you should give up smoking. A．As B．ItC．What D．Which4．According to the bank rules released recently, you have to pay a 25% ________ on each cheque you cash. A．admission B．pensionC．allowance D．commission5．Passengers _____ talk to the driver while the bus is moving, because it will take his focus off the road.A．would not B．must notC．may not D．need not6．This is not an economical way to get more water; ________, it is very expensive.A．worse still B．on the contraryC．in short D．in addition7．All the dishes in this menu，_____ otherwise stated，will serve two to three people.A．as B．if C．though D．unless8．____________the fierce competition in job seeking, many university graduates have no choice but to reduce their own demand for the salary.A．Faced B．FacingC．To face D．Having faced9．______ you are supposed to do ______ you don't like a thing is ______ it. Don'tcomplain.A．That; what; change B．When; that; to changeC．What; when; change D．What; that; changing10．—The lecture about 3D technology was very interesting.—It’s a pity. How I wish I ________ time to attend it.A．had B．have C．had had D．have had11．--Could you please cut the price a little?--Er... _________ you buy more than ten.A．even if B．so long as C．in case D．as soon as12．Had it not been for his experience in the forest，we ____________ in the battle with the fierce bear.A．hadn't survived B．wouldn't have survivedC．didn't survived D．wouldn't survive13．The engineer is thought to be capable and modest, so his promotion to manager is a popular _____. A．achievement B．appointment C．commitment D．employment14．—Is there a hospital nearby? I hurt my ankle, and cannot move now.—It’s about 3 blocks away. I _____ you there.A．took B．takeC．will take D．have taken15．— The rent of our flat will see a 20% rise this year?—Y es. That’s ______ I have compromised with the flat owner.A．what B．whereC．how D．when16．Frankly speaking, I am not sure whether I ________ this in the old days with that kind of equipment, which looks quite odd and ridiculous.A．should have done B．need have done C．would have done D．must have done17．Contrary to popular belief, taking a walk immediately after meals doesn’t _______ do good to our health. A．necessarily B．specially C．directly D．constantly18．—I say, Harry. What did you say to the laid-off worker just now?—Nothing. I to myself.A．had only talked B．am only talking C．have just talked D．was just talking19．__________ 62% of all luxury consumer sales in Europe in 2015, shoppers from the Chinese mainland spent $7.2 billion overseas during the Spring Festival.A．Accounting for B．Adding toC．Consisting of D．Making up20．Tom is so creative a person that he always has lots of _________ ideas in his mind, and sometimes we don’t even know what he is thinking about.A．mean B．novelC．slim D．instant第二部分阅读理解（满分40分）阅读下列短文，从每题所给的A、B、C、D四个选项中，选出最佳选项。

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西安地区八校联考
2007届高三年级理科综合试题
第Ⅰ卷(选择题共126分) 二、选择题(本题包括8小题.每小题给出的四个选项中，有的只有一个选项正确，有的有多个选项正确，全部选对的得6分，选对但不全的得3分，有选错的得0分)
14.发射地球同步卫星时，先将卫星发射至近地圆轨道，然后变轨，使其沿椭圆轨道运行，当卫星沿椭圆轨道运行到远地点时再次变轨，使卫星进入同步圆轨道.卫星在同步圆轨道与近地圆轨道比较，下列说法正确的是
A 、速度变小，周期变长，角速度变小，势能增加
B 、速度变大，周期变短，角速度变大，势能增加
C 、速度变小，周期变长，角速度变小，势能减小
D 、速度变大，周期变短，角速度变大，势能减小
15.某质点在坐标原点O 处做简谐运动，其振幅为5.0cm ，振动周期为0.40s ，振动在介质中沿x 轴正向直线传播，传播速度为1.0m/s.当它由平衡位置O 向上振动0.20s 后立即停止振动，则停止振动后经过0.20s 的时刻的波形是下图中的
16.如右图所示，活塞将一定质量理想气体封闭在直立圆筒形导热的气缸中，设气缸周围温度恒定.活塞上堆放细砂，活塞处于静止.现对气体缓慢加热，同时逐渐取走细砂，使活塞缓慢上升，直到细砂全部取走.若活塞与气缸之间的摩擦可忽略，则在此过程中
A 、气体对外做功，气体温度可能不变
B 、气体对外帮功，内能一定减小
C 、气体压强可能增大，内能可能不变
D 、气体的密度减小，气体分子间的平均距离增大
17.用α粒子轰击金箔，α粒子在接近原子核时发生偏
转的情况如右图所示，则α粒子的路径可能的是
A 、a 是可能的
B 、b 是可能的
C 、c 是可能的
D 、a 、b 、c 都是不可能的
18.两束不同颜色的平行单色光a 、b ，由真空射向同一介质，如图所示.折射角βα<，则
A 、在该介质中传播时，a 光的速度最小
B 、在真空中传播时，a 光的速度最大
C 、若同时减小两束光的入射角，则a 光首先发生全反射
D 、若用a 、b 两束光分别射向某金属，a 光使某金属发生光电效应时，b 光也一定能使金属发生光电效应
19.用恒力F 向上拉一物体，使其由地面处开始加速上升到某一高度.若考虑空气阻力而不考陕师大附中西安中学西安交大附中西安市83中
长安一中西安高新一中西安铁一中西工大附中
虑空气的浮力，则在此过程中
A 、力F 所做的功减去克服阻力所做的功等于动能的增量
B 、物本克服重力所做的功等于重力势能的增量
C 、力F 和阻力的合力所做物功等于物体机械能的增量
D 、力F 、重力、阻力三者的的合力所做的功等于重力势能的增量
20.等离子气流(由高温高压的等电量的正负离子组成)由左方连续以v 0射入P 1和P 2两板间的匀强磁场中，ab 直导线与P 1、P 2相连接，线圈A 与直导线cd 连接.线圈A 内有随图乙所示的变化磁场，且磁场B 的正方向规定为向左，如图甲所示，则下列叙述正确的是
A 、0~1s 内ab 、cd 导线互相排斥
B 、1~2s 内ab 、cd 导线互相吸引
C 、2~3s 内ab 、cd 导线互相吸引
D 、3~4s 内ab 、cd 导线互相排斥
21.如图所示，两光滑平行导轨水平放置在匀强磁场中，磁场垂直导轨所在平面，金属棒ab 可沿导轨自由滑动，导轨一端跨接一个定值电阻R ，导轨电阻不计，现将金属棒沿导轨由静止向右拉.若保持拉力恒定，经时间t 1后速度为v ，加速度为a 1，最终以速度2v 做匀速运动；若保持拉力的功率恒定，经时间t 2后速度为v ，加速度为a 2，最终也以速度2v 做匀速运动，则
A 、a 2=a 1
B 、a 2=2a 1
C 、a 2=3a 1
D 、t 1=t 2 第Ⅱ卷(非选择题，共174分)
22.(18分)
(一)(6分)在做“用单摆测定重力加速度”的实验中，
某一同学用最小分度为毫米的米尺测得摆线的长度为
980.0mm ，，用游标尺上有10个小的等分刻度的游标卡
尺测得摆球的直径如图所示，摆球的直径为mm ，
该单摆的摆长为mm.把摆球从平衡位置拉开
一个小角度由静止释放，使单摆到竖直平面内摆动，当摆球摆动稳定后，在摆球通过平衡位置时启动秒表，并数下“1”，直到摆球第n 次同向通过平衡位置时按停秒表，读出所经历的时间t ，则单摆的周期为.
(二)(12分)用以下器材测量一电灯泡Rx 的阻
值(大约在900~1000Ω)：
电源E ，具有一定的内阻，电动势约为9.0V;
电压表V 1，量程为1.5V ，内阻r 1=750Ω；
电压表V 2，量程为5V ，内阻r 2=2500Ω；
滑线变阻器R ，最大阻值约为100Ω；
单刀单掷开关K ，导线若干.
(1)测量中要求电压表的读数不小于其量程的1/3，为了较好地测得灯泡电阻Rx ，实验要多测几组数据，试在图中虚线框内画出进行实验的最佳电路原理图(部分元件已画出，原理图中的元件要用题图中相应的英文字母标注)
(2)若电压表V 1的读数用U 1表示，若电压表V 2的读数用U 2表示，则由已知量和测得量表示R x 的公式为Rx=.
(3)利用这个实验的装置和电路原理图进行实验，并对测得的数据进行适当的整理，能否描绘出灯泡的伏安特性曲线？答：(填能或不能).
23.(14分)下表是一辆电动自行车的部分技术指标，其中额定车速是指电动车满载情况下在平直道路上以额定功率匀速行驶的速度.
(1)此车所配电动机的内阻是多少？
(2)在行驶过程中电动车受阻力是车重(包括满载重)的K 倍，试计算K 的大小.
(3)若电动车满载时在平直道路上以额定功率行驶，且阻力大小恒定，当车速为3m/s 时，加速度为多少？
24.(20分) A 、B 、C 三个物体的质量都为m 、且都静止，其中A 、B 为大小形状完全相同的两个木板，长度均为L ，它们之间的距离也为L ，水平地面光滑.今用水平向右的恒力，作用于可以看作质点的物块C 上，若 C 、
A 间的动摩擦因数为μ，经过了一段时间.当木板A 与
B 碰撞时，物块
C 也刚好滑到了A 板的最右端，此时刻立即撤去水平拉力，且刚发生碰撞的木板A 与B 也立即粘合在一起.求：
(1)水平拉力F 的大小. (2)为了使运动的物块C 不滑下B 板， C 、B 间的动摩擦因数应满足什么条件？并写出ABC 三个物体的最终速度的表达式.
25.(20分)如图所示，经电压U 加速的电子(加速前电子静止)，从电子枪口T 射出，其初速沿直线Ta 的方向.若要求电子能击中与枪口有一定距离的靶M 点，且有如图所示的θ夹角.第一次用磁感强度为B 的匀强磁场覆盖电子所经过的空间就可以达到此目的，磁场方向与纸面垂直；若第二次在该空间只加匀强电场，场强方向与纸面平行且与Ta 垂直，电子同样能打中M 点，设电子质量为m 电量为e ，求匀强电场的场强E=？(用题中所给条件量表示)
2
参考答案
第Ⅰ卷
1—5DCBCD6—10CBCAC11—15BCDAB
16.AD17.AC18.A19.BC20.BD21.C
第Ⅱ卷
22.(18分)
(一)该球直径为22.0mm991.0mm 1
-n t (6分) (二)(1)画出电路图(滑动变阻器用分压接法，电压表1与灯泡串联，电压表2测串联电路的电压)(4分)
(2)Rx=(U 2－U 1)r 1/U 1(4分)
(3)能(4分)
23.(14分)解：(1)从表中可知，输出功率P 出=180W ，
输入功率P 入=UI=36×6W=216W …………2分
P r =I 2r=P 入－P 出…………2分
Ω=Ω-=16
1802162r …………2分 (2)P 额=m m gv m M K fv )(+=…………2分
03.05
10)8040(180=⨯⨯+=k …………2分 (3)P 额=Fv
F －K(M+m)g=(M+m)a …………2分
由上式得：a=0.2m/s 2…………2分
24.(20分)解：(1)用牛顿第二定律，设力F 作用时间为t
对C m mg F a μ⋅=
…………2分2L=212
1t a …………1分对Aa 2=μg ………………2分L=2221t a ………1分解得F=3μMg …………2分
(2)作用完毕，C 有gL L a V μ822=⋅=
…………1分 A 有gL L a V μ222=⋅=…………1分
碰撞前后对AC 用动量守恒定律
mV 2=2mV 3…………2分
ABC 最后有共同速度V 4，对ABC 用动量守恒定律 mV 1+2mV 3=3mV 4…………2分
共同速度为：gL V μ24=…………2分
根据题意，由能量关系得342321232122121mV mV mV mgL ⋅-⋅+≥
μ……2分所以μμ5.12≥…………2分
25.(20分)解：加速m
eU v mv eU 2,21020==所以…………3分在磁场中：Be
mv R 0=…………3分设TM 之间距离为d ，有θ
θsin 2sin 2/d d R ==…………3分在电场中有：t v d x 0cos ==θ…………3分
221s i n t m
Ee d y ==θ…………3分消去t ，d ：电场强度m eU B
E 2cos 2θ=
…………5分。