内蒙古翁牛特旗乌丹一中2017-2018学年高二下学期开学考试(第一次测试)数学(理)试卷
教育最新K12内蒙古翁牛特旗乌丹第一中学2017-2018学年高二地理下学期开学考试(第一次测试)试题
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乌丹一中2017-2018学年度第一学期高二年级地理测试题第I卷(选择题)一、单选题(每题2分,共60分)1.下列地理现象的形成与洋流无关..的是()A. 西欧典型的海洋性气候B. 全球出现气候变暖C. 南美洲秘鲁渔场的形成D. 非洲西侧沙漠广布2.下列不.属于湿地的是()A. 东北的沼泽B. 江南的水乡C. 绿绿的稻田D. 浩瀚的海洋3.田纳西流域依托丰富的电力资源发展起来的是()A. 高耗能产业B. 高新技术产业C. 外向型产业D. 旅游休闲产业4.我国北方某“玻璃阳光房”晴天时室内比室外气温高10~20℃,主要原因是“玻璃阳光房”()A. 获得太阳辐射较多B. 大气的反射作用强C. 阻挡室内长波辐射D. 削弱了大气逆辐射5.据有关媒体报道,未来20年近半数人类工作或被机器人替代。
据此完成下题。
机器人的大量使用会使()A. 当地的失业率下降B. 所有劳动职业被取代C. 技术产业快速发展D. 就业总人数相对上升读某地层剖面示意图,完成6-7题。
6.该区域地层形成过程中主导的外力作用是()A. 风化作用B. 侵蚀作用C. 变质作用D. 沉积作用7.煤层的存在表示该地当时的地理环境特征是()A. 炎热干燥B. 温暖湿润C. 低温少雨D. 年温差大读某区域图,图中甲、乙、丙是重要的农业区。
据此完成8-9题。
8.甲地区发展农业的有利条件主要是()A. 全年高温,干湿季分明B. 土层深厚,土壤肥沃C. 光照虽弱但日照时间长D. 多地下水和冰雪融水9.丙地区与乙地区相比,其发展农业的不利条件主要是()A. 灌溉条件较差B. 日照时间太长C. 气温较低,热量不足D. 土壤盐碱化严重读1981~2006年间青藏高原植被覆盖水平地域分异特征示意图,图中Ⅰ、Ⅱ、Ⅲ、Ⅳ植被类型有显著差异,完成10-11题。
10.Ⅲ(草甸为主)、Ⅳ(针叶林为主)植被类型的变化体现了()A. 纬度地带分异规律B. 干湿度地带分异C. 垂直分异规律D. 地方性分异规律11.Ⅳ区森林资源丰富,其水汽来源主要是()A. 盛行西风B. 东北信风C. 西南季风D. 西北季风读我国软件产业业务收入区域分布示意图,完成12-13题。
【新】内蒙古翁牛特旗乌丹第一中学2017-2018学年高二英语下学期开学考试(第一次测试)试题
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内蒙古翁牛特旗乌丹第一中学2017-2018学年高二英语下学期开学考试(第一次测试)试题第二部分阅读理解(共两节,满分40分)第一节(共15小题;每小题2分,满分30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( A )Ellis Island is located in New York Harbor. Ellis Island is open daily year round from 9:30 a.m. to 5 p.m., with extended hours during summer. It is closed on December 25. There is no admission charge to Ellis Island; but donations are gratefully accepted.At Your FingertipsPark information (212) 363-7620Emergencies (212) 363-3260Ferryboat information (212) 269-5755Lost and found (212)363-7620Dining, gifts & audio tour 344-0996TransportationStatue of Liberty and Ellis Island Ferry; boats leave from Battery Park, Manhattan, and from Liberty State Park, New Jersey. They run about every 30 to 45 minutes beginning at 9:15 a.m.(The time for ferry is changeable)Hours: May vary; call the number aboveClosed: December 25Ferry fees (includes Liberty and Islands) adults, $7; senior citizens, $6; children (age 3~17), $5. (Group rates are available for 25 or more adults.)21. In summer, visitors will have ______ to visit Ellis Island.A. a limited timeB. a longer timeC. a shorter timeD. a wonderful time22. Which number would you call if our friends were suddenly ill?A. (212)344-0996B. (212)363-7620C. (212) 363-3260D. (212) 269-575523. Which of the following is NOT true?A. People can visit Ellis Island free of charge.B. The boats departure time from Battery Park is at 9:15 all the year round.C. Ferry fees for children are cheaper than for adults.D. Ferry fees for group visitors can be reduced.( B )“Pop” stands for popular, and a pop singer has to work very hard to stay popular. He must either give the public what they want, or he must find a new way of singing that will attract their attention. Even when he has succeeded, and his records are sold everywhere, he cannot relax. Then he must work harder than ever to remain popular, because there are always younger singers trying to become famous and to steal some of the popularity.The life o f a successful pop singer isn’t easy at all. He can only relax when he is alone, because everything he does is watched and reported in the special newspaper written for the fans. The fans are the most important people in the world for the singer. They buy his records, they go to his concerts, and they make him rich andhysterical(歇斯底里的) that they do anything to get a souvenir. They steal handkerchief, they tear off buttons, and they even cut off pieces of unfortunate singer’s hair. Many singers have been forced to hide, and some who have not been so lucky as to escape have been stripped(剥) practically naked by their fans. A pop singer has to spend a lot of money on clothes because he must always look smart, or at any rate, different. He must have a luxurious(豪华的) car. And most importantly, he must always keep smiling for the benefit of his public.24. Pop singer works very hard ___________.A. to get attentionB. to stay popularC. to get more moneyD. to sell more records25. The underlined word “annoying” in the second paragraph means__________.A. lovelyB. friendlyC. boringD. angry26. A pop singer has a lot of clothes in order to keep himself _________.A. smart and the sameB. smart and differentC. healthy and youngD. rich and strong27. A suitable title for this passage might be _______.A. The Way to Become a Pop SingerB. The Fans of the Pop SingerC. The Pop SingersD. The Success of Pop Singers( C )The host poured the tea into the cup and placed it on the small table in front of his guests, who were a father and daughter, and put the lid on the cup with a clink. Apparently thinking of something, he hurried into the inner room, leaving the thermos(热水瓶) on the table. His two guests heard a chest of drawers opening and a rustling.They remained sitting in the parlor(客厅), the ten-year-old daughter looking at the flowers outside the window, the father just about to take his cup, when the crash came, right there in the parlor. Something was hopelessly broken.It was the thermos, which had fallen to the floor. The girl looked over her shoulder abruptly, startled, staring. It was mysterious. Neither of them had touched it, not even a little bit. True, it hadn’t stood steadily when their host placed it on the table, but it hadn’t fallen then.The crash of the thermos caused the host, with a box of sugar cubes in hisThe father started to say something. Then he muttered, “Sorry, I touched it and it fell.”“It doesn’t matter,” the host said.Later, when they left the house, the daughter said, “Daddy, did you touch it?”“No. But it stood so close to me.”“But you didn’t touch it. I saw your reflection in the windowpane. You were sitting perfectly still.”The father laughed. “What then would you give as the cause of its fall?”The thermos fell by itself. The floor is uneven. It wasn’t steady when Mr. Li put it there. Daddy, why did you say that you… ?”“That won’t do,” girl. It sounds more acceptable when I say I knocked it d own. There are things which people accept less, the more you defend them. The truer the story you tell, the less true it sounds.”The daughter was lost in silence for a while. Then she said, “Can you explain it only this way?”“Only this way,” her fat her said.28. The underlined words “ blurted out” in Paragraph 4 means “ _______”.A. said quietlyB. said mysteriouslyC. said quicklyD. said patiently29. The location of the thermos before it fell was __________.A. on the floor of the inner roomB. on the windowpaneC. on a small table in the parlorD. behind the father and daughter30. It can be inferred from the story that the father _________.A. didn’t know Mr. Li very wellB. didn’t think Mr. Li would believe the truthC. was sorry that he told the truthD. was a stubborn man31. The story shows us that ___________.A. people rarely tell the truthB. if you defend yourself, people will believe youC. people should take the blame for something that they didn’t doD. you can’t always make people believe the truth( D)If you are human, you can’t help but experience times when everything seems to be going wrong and you feel as if your life is completely out of control. It isduring those “down times” that words of encouragement from family, friends, co-workers or even strangers can lighten your spirits. It is also during those times that destructive words can sink you deeper and deeper into depression.For example, consider this story about a group of frogs who were traveling through the woods when two of them fell into a deep pit(坑). All of the other frogs gathered around the pit. When they saw how deep the pit was, they told the two unfortunate frogs they would never get out.The two frogs ignored the comments and tried to jump out of the pit. The other frogs kept telling them to stop. Finally, one of the frogs took heed of what the other frogs were saying and simply gave up. He fell down and died. The other frog continued to jump as hard as he could. Once again the crowd of frogs shouted at him to stop the pain. The more they shouted, the harder he jumped and finally he made it to safety.When he got out, the other frogs asked him why he continued to jump when they were all shouting at him to simply quit. The frog explained to them that he was a little bit deaf. He thought they were encouraging him the entire time.Every time you have a chance to say either something positive or negative to another human being, do choose the chance to say someth ing positive! Don’t let those opportunities get away from you. Your words have a large amount of power. Use them wisely. You really never know just how much they can mean to someone else.32. The first paragraph tells us that words play an important part especially when _______.A. we stay with our family, friends and co-workersB.we hear strangers say something to usC. we get through hard times in life.D.we make some big mistakes.33. The underlined phrase “took heed of” has the similar meaning with “_____”A. acted according toB. had some doubtC. held on toD. got used to34. The more they shouted, the harder he jumped and finally he made it to safety. That’s because_______________.A. he struggled to prove that they were wrongB.he thought they were encouraging himC. he was angry with what they saidD.he didn’t want to let them down.35. After reading the passage, readers should learn a lesson that _________.A. we can use encouraging words to help others outB. having a positive attitude is important in lifeC. never give up until we winD. we must believe in ourselves rather than others第二节(共5小题;每小题2分,满分10 分)根据短文内容,从短文后的选项中选出能填入空白处的最佳选项。
教育最新K12内蒙古翁牛特旗乌丹第一中学2017-2018学年高二历史下学期开学考试(第一次测试)试题
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内蒙古翁牛特旗乌丹第一中学2017-2018学年高二历史下学期开学考试(第一次测试)试题一、选择题(共26小题,每小题2分计52分)1.王国维在《殷商制度论》中说到:“欲观周之所以定天下,必自其制度始矣。
周人制度之大异于商者,一曰‘立子立嫡’之制,由是而生宗法及丧服之制,并由是而有封建子弟之制,君天子臣诸侯之制;二曰庙数之制;三曰同姓不婚之制。
此数者,皆周之所以纲纪天下。
是故有立子之制,而君位定;有封建子弟之制,而异姓之势弱,天子之位尊;有嫡庶之制,于是有宗法、有服术,而自国以至天下合为一家,周人一统之策实存于是。
”()A.作者认为宗法制度是西周一切典章制度的源泉B.作者有一种对西周制度的作用过于理想化的学术倾向C.作者认为制度创新是西周稳定的核心D.作者认为中国早在西周就已经奠定了大一统的中央集权格局2.斯塔夫里阿诺斯在他的名著《全球通史》中这样写道:“东周时期,周王只是名义上的统治者……实际上,周王之所以能幸存到公元前256年,主要是因为他们(周王朝)提供了精神上的领导。
周王朝还起到了高级祭司的作用。
”依据作者的观点,周天子的名号能够存在到战国时期是因为( )A.中国统一民族的逐渐形成B.封建礼教力量的作用C.诸侯国需要精神力量的支撑D.周初中央集权制度的影响3.王家范在《中国历史通论》中指出:“西周政治里显然有深厚的贵族色彩,而‘共主’名义下的地方分权体制……与秦以后一统的君主‘独制’格局泾渭分明。
因此古贤多称周秦之间为‘天下一大变局’。
”材料中“天下一大变局”产生的影响是( )A.分封制度加强B.官僚政治确立C.宗法制度形成D.井田制度出现4.钱穆在《国史大纲》中写道:“秦灭六国,……此乃古代贵族封建势力之逐步崩溃,……直至汉兴,始为中国史上平民政权之初创。
……然在平民政府创建的过程中,却屡次有‘封建’思想之复活。
……平民政府的……思想则为‘无为而治’,‘无为’之实则为‘因循’。
”下列选项符合上述观点的是( )①汉初沿袭周朝分封制②汉承秦制体现在大体沿袭了秦朝的官僚制度③无为而治的统治思想贯穿汉代④西汉是中国历史上第一个平民建立的封建政权A.①②③B.②③④C.①③④D.①②④5.汉代太学犹如现在的国立大学,这里面的学生毕业考试分两等,当时称“科”。
内蒙古翁牛特旗乌丹第一中学2017-2018学年高二英语下学期开学考试(第一次测试)试题
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内蒙古翁牛特旗乌丹第一中学2017-2018学年高二英语下学期开学考试(第一次测试)试题第二部分阅读理解(共两节,满分40分)第一节(共15小题;每小题2分,满分30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( A )Ellis Island is located in New York Harbor. Ellis Island is open daily year round from 9:30 a.m. to 5 p.m., with extended hours during summer. It is closed on December 25. There is no admission charge to Ellis Island; but donations are gratefully accepted.At Your FingertipsPark information (212) 363-7620Emergencies (212) 363-3260Ferryboat information (212) 269-5755Lost and found (212)363-7620Dining, gifts & audio tour 344-0996TransportationStatue of Liberty and Ellis Island Ferry; boats leave from Battery Park, Manhattan, and from Liberty State Park, New Jersey. They run about every 30 to 45 minutes beginning at 9:15 a.m.(The time for ferry is changeable)Hours: May vary; call the number aboveClosed: December 25Ferry fees (includes Liberty and Islands) adults, $7; senior citizens, $6; children (age 3~17), $5. (Group rates are available for 25 or more adults.)21. In summer, visitors will have ______ to visit Ellis Island.A. a limited timeB. a longer timeC. a shorter timeD. a wonderful time22. Which number would you call if our friends were suddenly ill?A. (212)344-0996B. (212)363-7620C. (212) 363-3260D. (212) 269-575523. Which of the following is NOT true?A. People can visit Ellis Island free of charge.B. The boats departure time from Battery Park is at 9:15 all the year round.C. Ferry fees for children are cheaper than for adults.D. Ferry fees for group visitors can be reduced.( B )“Pop” stands for popular, and a pop singer has to work very hard to stay popular. He must either give the public what they want, or he must find a new way of singing that will attract their attention. Even when he has succeeded, and his records are sold everywhere, he cannot relax. Then he must work harder than ever to remain popular, because there are always younger singers trying to become famous and to steal some of the popularity.The life of a successful pop singer isn’t easy at all. He can only relax when he is alone, because everything he does is watched and reported in the special newspaper written for the fans. The fans are the most important people in the world for the singer. They buy his records, they go to his concerts, and they make him rich andhysterical(歇斯底里的) that they do anything to get a souvenir. They steal handkerchief, they tear off buttons, and they even cut off pieces of unfortunate singer’s hair. Many singers have been forced to hide, and some who have not been so lucky as to escape have been stripped(剥) practically naked by their fans. A popsinger has to spend a lot of money on clothes because he must always look smart, or at any rate, different. He must have a luxurious(豪华的) car. And most importantly, he must always keep smiling for the benefit of his public.24. Pop singer works very hard ___________.A. to get attentionB. to stay popularC. to get more moneyD. to sell more records25. The underlined word “annoying” in the second paragraph means__________.A. lovelyB. friendlyC. boringD. angry26. A pop singer has a lot of clothes in order to keep himself _________.A. smart and the sameB. smart and differentC. healthy and youngD. rich and strong27. A suitable title for this passage might be _______.A. The Way to Become a Pop SingerB. The Fans of the Pop SingerC. The Pop SingersD. The Success of Pop Singers( C )The host poured the tea into the cup and placed it on the small table in front of his guests, who were a father and daughter, and put the lid on the cup with a clink. Apparently thinking of something, he hurried into the inner room, leaving the thermos(热水瓶) on the table. His two guests heard a chest of drawers opening and a rustling.They remained sitting in the parlor(客厅), the ten-year-old daughter looking at the flowers outside the window, the father just about to take his cup, when the crash came, right there in the parlor. Something was hopelessly broken.It was the thermos, which had fallen to the floor. The girl looked over her shoulder abruptly, startled, staring. It was mysterious. Neither of them had touched it, not even a little bit. True, it hadn’t stood steadily when their host placed it on the table, but it hadn’t fallen then.The crash of the thermos caused the host, with a box of sugar cubes in hisThe father started to say something. Then he muttered, “Sorry, I touched it and it fell.”“It doesn’t matter,” the host said.Later, when they left the house, the daughter said, “Daddy, did you touch it?”“No. But it stood so close to me.”“But you didn’t touch it. I saw your reflection in the windowpane. You were sitting perfectly still.”The father laughed. “What then would you give as the cause of its fall?”The thermos fell by itself. The floor is uneven. It wasn’t steady when Mr. Li put it there. Daddy, why did you say that you… ?”“That won’t do,” girl. It sounds more acceptable when I sa y I knocked it down. There are things which people accept less, the more you defend them. The truer the story you tell, the less true it sounds.”The daughter was lost in silence for a while. Then she said, “Can you explain it only this way?”“Only this way,” her father said.28. The underlined words “ blurted out” in Paragraph 4 means “ _______”.A. said quietlyB. said mysteriouslyC. said quicklyD. said patiently29. The location of the thermos before it fell was __________.A. on the floor of the inner roomB. on the windowpaneC. on a small table in the parlorD. behind the father and daughter30. It can be inferred from the story that the father _________.A. didn’t know Mr. Li very wellB. didn’t think Mr. Li would believe the truthC. was sorry that he told the truthD. was a stubborn man31. The story shows us that ___________.A. people rarely tell the truthB. if you defend yourself, people will believe youC. people should take the blame for somethin g that they didn’t doD. you can’t always make people believe the truth( D)If you are human, you can’t help but experience times when everything seems to be going wrong and you feel as if your life is completely out of control. It is during those “down times” that words of encouragement from family, friends, co-workers or even strangers can lighten your spirits. It is also during those times that destructive words can sink you deeper and deeper into depression.For example, consider this story about a group of frogs who were traveling through the woods when two of them fell into a deep pit(坑). All of the other frogs gathered around the pit. When they saw how deep the pit was, they told the two unfortunate frogs they would never get out.The two frogs ignored the comments and tried to jump out of the pit. The other frogs kept telling them to stop. Finally, one of the frogs took heed of what the other frogs were saying and simply gave up. He fell down and died. The other frog continued to jump as hard as he could. Once again the crowd of frogs shouted at him to stop the pain. The more they shouted, the harder he jumped and finally he made it to safety.When he got out, the other frogs asked him why he continued to jump when they were all shouting at him to simply quit. The frog explained to them that he was a little bit deaf. He thought they were encouraging him the entire time.Every time you have a chance to say either something positive or negative to another human being, do choose the chan ce to say something positive! Don’t let those opportunities get away from you. Your words have a large amount of power. Use them wisely. You really never know just how much they can mean to someone else.32. The first paragraph tells us that words play an important part especially when_______.A. we stay with our family, friends and co-workersB.we hear strangers say something to usC. we get through hard times in life.D.we make some big mistakes.33. The underlined phrase “took heed of” has the similar meaning with “_____”A. acted according toB. had some doubtC. held on toD. got used to34. The more they shouted, the harder he jumped and finally he made it to safety. That’s because_______________.A. he struggled to prove that they were wrongB.he thought they were encouraging himC. he was angry with what they saidD.he didn’t want to let them down.35. After reading the passage, readers should learn a lesson that _________.A. we can use encouraging words to help others outB. having a positive attitude is important in lifeC. never give up until we winD. we must believe in ourselves rather than others第二节(共5小题;每小题2分,满分10 分)根据短文内容,从短文后的选项中选出能填入空白处的最佳选项。
【物理】内蒙古翁牛特旗乌丹第一中学2017-2018学年高二下学期开学考试试题(解析版)
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内蒙古翁牛特旗乌丹第一中学2017-2018学年高二下学期开学考试(第一次测试)物理试题一、选择题1.将面积是0.5m2的导线环放在匀强磁场中,环面与磁场方向垂直。
已知穿过这个导线环的磁通量是2.0×10-2wb,则该磁场的磁感应强度为()A. 1.0×10-2TB. 4.0×10-2TC. 25TD. 2.0×10-2T【答案】B【解析】【详解】闭合导线环在匀强磁场中,环面与磁场垂直时,穿过环的磁通量Φ=BS,则。
故B正确,ACD错误。
故选B。
2.如图所示,在真空中相距为L的a、b两点分别放置电荷量大小均为Q的正、负电荷,那么在离a、b两点距离都等于L的点的电场强度的方向和该点的场强大小为()A. 沿a到b方向,B. 沿b到a方向,C. 方向沿ab中垂线向外,D. 方向沿ab中垂线向里,【答案】A【解析】【详解】两个等量异种点电荷在B两点距离都等于L的点产生的电场强度大小相等,方向如图.大小为E1=E2=,则合场强为:E=.方向由a指向b,故选A.【点睛】解决本题的关键掌握点电荷的场强公式E=,以及知道场强是矢量,合成分解遵循平行四边形定则.3.一个点电荷从静电场的a点移到b点,a、b两点的电势差为零,则()A. a、b两点的场强一定相等B. 该点电荷一定沿某一等势面移动C. 作用于该点的静电力始终与其速度方向垂直D. 该点电荷在a、b两点的电势能一定相等【答案】D【解析】【详解】电势与电场间没有直接的必然联系,电势相等场强未必相等,例如等量异种电荷的连线的中垂线上的各点,故A错误;点电荷从静电场的a点移到b点,a、b两点的电势差为零,但其运动轨迹无法确定,作用于该点的静电力始终与其速度方向不一定垂直,故BC 错误;两点的电势差为零,则电势相等,则该点电荷在a、b两点的电势能一定相等,D正确。
故选D。
【点睛】此题关键是知道,电势相等,但场强不一定相等,同样场强相等,电势不一定相等;电场力做功与路径无关,只与初末位置的电势差有关.4.如图所示,直线AOC为某一电源的总功率P总随电流i变化的图线,抛物线OBC为同一直流电源内部热功率Pr随电流I变化的图象.若A、B对应的横坐标为2A,那么线段AB 表示的功率及I=2A时对应的外电阻是()A. 2W,0.5ΩB. 4W,2ΩC. 2W,1ΩD. 6W,2Ω【答案】A【解析】试题分析:由图读出时,电源的功率,电源内部发热功率,根据电源的功率可得电源电动势,电源内部发热功率可得电源的内阻为;当电流时,电源的功率为,电源内部发热功率,则线段AB表示功率为,由可得外电阻为。
内蒙古翁牛特旗乌丹第一中学2017_2018学年高二生物下学期开学考试第一次测试试题无答案201809130180
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内蒙古翁牛特旗乌丹第一中学2017-2018学年高二生物下学期开学考试(第一次测试)试题(无答案)一.选择题(共50小题,每小题1.5分,总计75分)1.血细胞、肌细胞和淋巴细胞所处的内环境依次是( )A.血浆、体液和体液B.血液、体液和淋巴C.血浆、组织液和淋巴D.血液、细胞外液和体液2.正常情况下,以下物质属于人体内环境组成成分的是( )①血红蛋白②葡萄糖③无机盐④激素.A.①②③④ B.②③ C.②③④D.②3.关于内环境及稳态的叙述,不正确的是( )A.细胞外液约占人体体液组成的B.一个细胞直接生活的内环境可能不止一个C.抽搐反应是内环境成分稳态失调所引起的D.体内细胞通过内环境可以与外界环境进行物质交换4.人剧烈活动后,隔一段时间血浆的会( )A.大于B.远小于C.维持在D.稳定在5.以下关于内环境稳态的说法不正确的是( )A.稳态就是指内环境的各种化学成分和理化性质处于相对稳定状态B.人体各器官、系统协调一致地正常运行,是维持内环境稳态的基础C.内环境稳态的调节机制的现代观点是神经﹣体液﹣免疫调节机制D.人体维持稳态的调节能力是很强的,即使外界环境剧变,人体总能保持稳态的平衡6.反射和反射弧的关系是( )A.反射活动可以不完全通过反射弧来实现B.反射活动的完成必须通过反射弧来实现C.只要反射弧完整,必然出现反射活动D.反射和反射弧在含义上完全相同7.下列关于兴奋传导的叙述,正确的是( )A.神经纤维膜内局部电流的流动方向与兴奋传导方向一致B.神经纤维上已兴奋的部位将恢复为静息状态的零电位C.突触小体完成“化学信号﹣电信号”的转变D.神经递质作用于突触后膜,使突触后膜产生兴奋8.下图表示三个通过突触相连接的神经元,若在箭头处施加一强刺激,则能测到膜内外电位变化的位置是( )A.②③B.①②③C.②③④D.①②③④9.某人腰椎部因受外伤造成右侧下肢运动障碍,但有感觉.该病人受损伤的部分可能是在反射弧的( )A.传入神经 B.传出神经 C.神经中枢 D.效应器10.通过人体神经元细胞模式图分析,不正确的是( )A.④中的物质属于神经递质,释放到⑤的方式是外排(胞吐)B.A点属于神经元的轴突部分C.若抑制该细胞的呼吸作用,将不影响神经兴奋的传导D.若刺激A点,图中电流计B将发生2次方向相反的偏转11.下列关于神经兴奋的叙述,错误的是( )A.兴奋部位细胞膜两侧的电位表现为膜内为正、膜外为负B.神经细胞兴奋时细胞膜对Na+通透性增大C.兴奋在反射弧中以神经冲动的方式双向传递D.细胞膜内外K+、Na+分布不均匀是神经纤维兴奋传导的基础12.下列事例能够说明神经系统中的高级中枢对低级中枢有调控作用的是( )A.针刺指尖引起缩手反射B.短期记忆经过多次重复可形成长期记忆C.大脑皮层言语区的S区受损伤,导致运动性失语症D.意识丧失的病人能排尿但不能控制,意识恢复后可控制排尿13.关于人体激素的叙述,错误的是()A.激素在人体内作为信息物而发挥作用B.激素在人体内含量较低,但有高效的生物催化作用C.甲状腺激素除了促进人体产热,还有其他生理效应D.正常人体内,激素的分泌受反馈调节14.有同一器官分泌,且生物效应相反的一组激素是()A.胰岛素和胰高血糖素 B.肾上腺素和肾上腺皮质激素C.促甲状腺激素和生长激素 D.甲状腺激素和促甲状腺激素15.下列关于人体内血糖调节的说法,正确的是( )A.人在饥饿时,胰岛素的分泌会增加B.胰高血糖素会促进肌肉细胞从血浆中吸收葡萄糖C.饭后胰高血糖素的分泌会减少D.胰岛素分泌不足时,细胞对葡萄糖的氧化分解仍然正常16.给严重缺氧的病人输氧时,要在纯氧中加入5%的二氧化碳气体,可以维持呼吸中枢的兴奋,这属于( )A.神经调节B.内分泌调节C.激素调节D.体液调节17.动物被运输过程中,体内皮质醇激素的变化能调节其对刺激的适应能力。
内蒙古翁牛特旗乌丹第一中学高二物理下学期开学考试(第一次测试)试题
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高二物理下学期第一次阶段测试题一、选择题(共12小题,每小题4分,共48分,1-8单选,9-12多选)1.将面积是0.5m 2的导线环放在匀强磁场中,环面与磁场方向垂直。
已知穿过这个导线环的磁通量是2.0×10-2wb ,则该磁场的磁感应强度为( )A 、1.0×10-2TB 、4.0×10-2TC 、25TD 、2.0×10-2T2.如图所示,在真空中相距为L 的a 、b 两点分别放置电荷量大小均为Q 的正、负电荷,那么在离a 、b 两点距离都等于L 的点的电场强度的方向和该点的场强大小为( )A .沿a 到b 方向,2L kQ B .沿b 到a 方向,22LkQ C .方向沿ab 中垂线向外,2L kQ D .方向沿ab 中垂线向里,24LkQ3.一个点电荷从静电场的a 点移到b 点,a 、b 两点的电势差为零,则( )A .a 、b 两点的场强一定相等B .该点电荷一定沿某一等势面移动C .作用于该点的静电力始终与其速度方向垂直D .该点电荷在a 、b 两点的电势能一定相等4.如图所示,直线OAC 为某一直流电源的总功率P 总随电流I 变化的图线,抛物线OBC 为同一直流电源内部热功率P 随电流I 变化的图线。
若A 、B 对应的横坐标为2 A ,那么线段AB 表示的功率差及I = 2 A 对应的外电阻是( ) A .2 W ,0.5 ΩB .4 W ,2 ΩC .2 W ,1 ΩD .6 W ,2 Ω5.如图电路中,当可变电阻R 的阻值增大时,下列说法正确的是( ) A .AB 两点间的电压U增大 B .AB 两点间的电压U减小 C .通过R 的电流强度I 增大 D .通过R 2的电流强度I 减小6.如图所示,平行板电容器的两极板为A 、B ,B 极板接地,A 极板带有电荷量+Q ,板间电场有一固定点P ,若将B 极板固定,A 极板下移一些,或者将A 极板固定,B 极板上移一些,在这两种情况下,以下说法正确的是( )A. A 极板下移时,P 点的电场强度增大,P 点电势不变B. A 极板下移时,P 点的电场强度不变,P 点电势升高C. B 极板上移时,P 点的电场强度不变,P 点电势降低D. B 极板上移时,P 点的电场强度减小,P 点电势升高ab7.有一个可以自由运动的矩形线框的旁边竖直立着一根固定的直导线,导线中通以方向向上的恒定电流I 1,线框平面与导线平行,且两边到直导线的距离相等,如图所示,不计重力的作用,当线框中通以图示方向的电流I 2时,线框的运动是( ) A .从上往下看,线框顺时针转动并向导线靠近 B .从上往下看,线框逆时针转动并离开导线 C .线框朝靠近导线方向平动 D .线框朝远离导线方向平动8.如图所示,A 、B 、C 三点都在匀强电场中,已知AC ⊥BC ,∠ABC=60°,BC=20cm ,把一个电量为10-5c 的正电荷从A 移到B ,电场力做功为零,从B 移到C ,电场力做功-1.73×10-3J ,则该匀强电场的电场强度大小和方向( ) A.865V/m,垂直AC 向左 B. 865V/m,垂直AC 向右C. 1000V/m,垂直AB 斜向上D. 1000V/m,垂直AB 斜向下9.一带电粒子射入一固定在O 点的点电荷的电场中,粒子运动轨道如图虚线a 、b 、c 所示,图中实线是同心圆弧,表示电场的等势面,不计重力,则可以断定( ) A .此粒子一直受到静电排斥力B .粒子在b 点的电势能一定大于a 点的电势能C .粒子在b 点的速度一定大于a 点的速度D .粒子在a 点和c 点速度大小相等10.如图所示,在匀强磁场中放有平行铜导轨,它与大线圈M 相连接,要使小导线圈N 获得顺时针方向的感应电流,则放在导轨上的金属棒ab 的运动情况(两线圈共面放置)是 ( )A .向右匀速运动B .向左加速运动C .向右减速运动D .向右加速运动11.有一横截面积为S 的铜导线,流经其中的电流强度为I ,设每单位体积的导线有n 个自由电子,电子的电荷量为q ,此时电子的定向移动速率为v ,在Δt 时间内通过横截面积的电子数目可表示为( ) A .nSv ΔtB .nv ΔtC .qtI ∆ D .qStI ∆12.在如图所示的虚线所示的区域内,存在电场强度为E的匀强电场和磁感强度为B的匀强磁场,取坐标如图.一带电粒子沿x 轴正方向进入此区域,在穿过此区域的过程中运动方向始终未发生偏转.设重力可以忽略不计,则在这区域中E和B的方向可能是 ( )I1I2A .E 和B 都沿x 轴方向 B .E 沿y 轴正向,B 沿z 轴正向 C. E 沿z 轴正向,B 沿y 轴正向 D. E 和B 都沿z 轴方向二、实验题(共2小题,15分).13、(6分)已知电流表的内阻10g R Ω=,满偏电流3g I mA =.要把它改装成量程是6V 的电压表,应_____联一个电阻,其阻值R =_______Ω;若用它来测量一段电路两端电压时,表盘指针如图所示,这段电路两端的电压是_____V. 14、(9分)在做测干电池的电动势和内电阻的实验时,备有下列器材选用: A. 干电池一节(电动势约为 1.5V )B. 直流电流表(量程0-0.6-3A,0.6A 挡内阻0.10Ω,3A 挡内阻0.025Ω)C. 直流电压表(量程0-3-15V,3V 挡内阻5K Ω,15V 挡内阻25K Ω)D. 滑动变阻器 (阻值范围0-15Ω,允许最大电流lA )E. 滑动变阻器 (阻值范围0-1000Ω,允许最大电流 0.5A )F. 电键G. 导线若干根H. 电池夹 ①(2分)滑动变阻器选用②(3分)将选定的器材按本实验要求的电路(系统误差较小),在所示的实物图上连线。
内蒙古翁牛特旗乌丹第一中学高二物理下学期开学考试(第一次测试)试题
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高二物理下学期第一次阶段测试题一、选择题(共12小题,每小题4分,共48分,1-8单选,9-12多选)1.将面积是0.5m 2的导线环放在匀强磁场中,环面与磁场方向垂直。
已知穿过这个导线环的磁通量是2.0×10-2wb ,则该磁场的磁感应强度为( )A 、1.0×10-2TB 、4.0×10-2TC 、25TD 、2.0×10-2T2.如图所示,在真空中相距为L 的a 、b 两点分别放置电荷量大小均为Q 的正、负电荷,那么在离a 、b 两点距离都等于L 的点的电场强度的方向和该点的场强大小为( )A .沿a 到b 方向,2L kQ B .沿b 到a 方向,22LkQ C .方向沿ab 中垂线向外,2L kQ D .方向沿ab 中垂线向里,24LkQ3.一个点电荷从静电场的a 点移到b 点,a 、b 两点的电势差为零,则( )A .a 、b 两点的场强一定相等B .该点电荷一定沿某一等势面移动C .作用于该点的静电力始终与其速度方向垂直D .该点电荷在a 、b 两点的电势能一定相等4.如图所示,直线OAC 为某一直流电源的总功率P 总随电流I 变化的图线,抛物线OBC 为同一直流电源内部热功率P 随电流I 变化的图线。
若A 、B 对应的横坐标为2 A ,那么线段AB 表示的功率差及I = 2 A 对应的外电阻是( ) A .2 W ,0.5 ΩB .4 W ,2 ΩC .2 W ,1 ΩD .6 W ,2 Ω5.如图电路中,当可变电阻R 的阻值增大时,下列说法正确的是( ) A .AB 两点间的电压U增大 B .AB 两点间的电压U减小 C .通过R 的电流强度I 增大 D .通过R 2的电流强度I 减小6.如图所示,平行板电容器的两极板为A 、B ,B 极板接地,A 极板带有电荷量+Q ,板间电场有一固定点P ,若将B 极板固定,A 极板下移一些,或者将A 极板固定,B 极板上移一些,在这两种情况下,以下说法正确的是( )A. A 极板下移时,P 点的电场强度增大,P 点电势不变B. A 极板下移时,P 点的电场强度不变,P 点电势升高C. B 极板上移时,P 点的电场强度不变,P 点电势降低D. B 极板上移时,P 点的电场强度减小,P 点电势升高ab7.有一个可以自由运动的矩形线框的旁边竖直立着一根固定的直导线,导线中通以方向向上的恒定电流I 1,线框平面与导线平行,且两边到直导线的距离相等,如图所示,不计重力的作用,当线框中通以图示方向的电流I 2时,线框的运动是( ) A .从上往下看,线框顺时针转动并向导线靠近 B .从上往下看,线框逆时针转动并离开导线 C .线框朝靠近导线方向平动 D .线框朝远离导线方向平动8.如图所示,A 、B 、C 三点都在匀强电场中,已知AC ⊥BC ,∠ABC=60°,BC=20cm ,把一个电量为10-5c 的正电荷从A 移到B ,电场力做功为零,从B 移到C ,电场力做功-1.73×10-3J ,则该匀强电场的电场强度大小和方向( ) A.865V/m,垂直AC 向左 B. 865V/m,垂直AC 向右C. 1000V/m,垂直AB 斜向上D. 1000V/m,垂直AB 斜向下9.一带电粒子射入一固定在O 点的点电荷的电场中,粒子运动轨道如图虚线a 、b 、c 所示,图中实线是同心圆弧,表示电场的等势面,不计重力,则可以断定( ) A .此粒子一直受到静电排斥力B .粒子在b 点的电势能一定大于a 点的电势能C .粒子在b 点的速度一定大于a 点的速度D .粒子在a 点和c 点速度大小相等10.如图所示,在匀强磁场中放有平行铜导轨,它与大线圈M 相连接,要使小导线圈N 获得顺时针方向的感应电流,则放在导轨上的金属棒ab 的运动情况(两线圈共面放置)是 ( )A .向右匀速运动B .向左加速运动C .向右减速运动D .向右加速运动11.有一横截面积为S 的铜导线,流经其中的电流强度为I ,设每单位体积的导线有n 个自由电子,电子的电荷量为q ,此时电子的定向移动速率为v ,在Δt 时间内通过横截面积的电子数目可表示为( ) A .nSv ΔtB .nv ΔtC .qtI ∆ D .qStI ∆12.在如图所示的虚线所示的区域内,存在电场强度为E的匀强电场和磁感强度为B的匀强磁场,取坐标如图.一带电粒子沿x 轴正方向进入此区域,在穿过此区域的过程中运动方向始终未发生偏转.设重力可以忽略不计,则在这区域中E和B的方向可能是 ( )I1I2A .E 和B 都沿x 轴方向 B .E 沿y 轴正向,B 沿z 轴正向 C. E 沿z 轴正向,B 沿y 轴正向 D. E 和B 都沿z 轴方向二、实验题(共2小题,15分).13、(6分)已知电流表的内阻10g R Ω=,满偏电流3g I mA =.要把它改装成量程是6V 的电压表,应_____联一个电阻,其阻值R =_______Ω;若用它来测量一段电路两端电压时,表盘指针如图所示,这段电路两端的电压是_____V. 14、(9分)在做测干电池的电动势和内电阻的实验时,备有下列器材选用: A. 干电池一节(电动势约为 1.5V )B. 直流电流表(量程0-0.6-3A,0.6A 挡内阻0.10Ω,3A 挡内阻0.025Ω)C. 直流电压表(量程0-3-15V,3V 挡内阻5K Ω,15V 挡内阻25K Ω)D. 滑动变阻器 (阻值范围0-15Ω,允许最大电流lA )E. 滑动变阻器 (阻值范围0-1000Ω,允许最大电流 0.5A )F. 电键G. 导线若干根H. 电池夹 ①(2分)滑动变阻器选用②(3分)将选定的器材按本实验要求的电路(系统误差较小),在所示的实物图上连线。
内蒙古翁牛特旗乌丹第一中学2017-2018学年高二化学下学期开学考试(第一次测试)试题
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内蒙古翁牛特旗乌丹第一中学 2017-2018学年高二化学下学期开学考试(第一次测试)试题可能用到的相对原子质量: H — 1 C — 12 N — 14 O — 16 Al — 27 Cl — 35.5 Fe — 56第I 卷(选择题,共54 分)一、选择题(本题包括18小题,每小题3分,共54分,每小题只有一个选项符合题意。
)1 •我国自主研发的载人潜水器“蛟龙号”进行多次海试,圆满完成深潜任务。
潜水器若要 潜入海底,潜水器的表面每平方米需承受近万吨的压强, 这需要使用特殊材料才能达到要求。
下列有关材料的说法正确的是( )A. 铝合金是应用最广泛的合金材料B. 目前太阳能电池的主要材料是硅单质C. 光导纤维的材料是硅单质D. 合金材料的组成元素一定全部是金属元素2•正确掌握化学用语是学好化学的基础,下列有关表述正确的是 ( )4.实验中的下列操作正确的是 ( )A.取用试剂瓶中的 N@CO 溶液,发现取量过多,为了不浪费,又把过量的试剂倒入试剂瓶B. 把NaOH 固体放在托盘天平左盘的滤纸上称量C.用蒸发的方法使 NaCI 从溶液中析出A.H 、D T 互为同素异形体•氨分子中的化学键为非极性共价键 C. [1【:NHCI 的电子式: H >4^^D . €—的结构示意图:3.F 列说法正确的是 ( A. 乙烯的结构简式可以表示为CHCHB. 丙烷的球棍模型为/ ML/ \C. 乙醇含有的官能团是一 OH 带一个单位负电荷D. 液化石油气和天然气的主要成分都是甲烷时,应将蒸发皿中NaCI溶液全部加热蒸干D. 用浓硫酸配制一定物质的量浓度的稀硫酸时,浓硫酸溶于水后,应冷却至室温才能转移到容量瓶中5 •阿伏加德罗常数的值为2。
下列说法正确的是()A. 1 L 0.1 mol •L T|NHCI 溶液中,Nl£的数量为0.12B. 标准状况下,22.4 L水含有的水分子数为 2C. 标准状况下,2.24 L N 2和Q的混合气体中分子数为0.2 2D. 0.1 mol H 2和0.1 mol I 2于密闭容器中充分反应后,其分子总数为0.2 N A6. 下列说法正确的是()A. 同温同压下甲烷和氧气的密度之比为2: 1B. 1 g甲烷和1 g氧气的原子数之比为5 : 1C. 等物质的量的甲烷和氧气的质量之比为2 : 1D. 在标准状况下等质量的甲烷和氧气的体积之比为 1 : 27. 下列关于有机物的说法正确的是()A. 乙烯能使酸性KMnO溶液和溴水褪色,二者反应原理不相同B. 交警用酸性重铬酸钾溶液检查司机是否饮酒过量时乙醇发生取代反应C. 乙酸的分子式为CHCOOH属于弱电解质D. 苯分子中没有碳碳双键,因此苯不能发生加成反应&以下有关物质结构的描述正确的是()/③二氯甲①甲苯分子中的所有原子可能共平面②苯乙烯分子中的所有原子可能共平面烷分子为正四面体结构④乙烷分子中的所有原子不可能都在同一平面内A. ①③B.②④ C .①④D.②③9.苹果醋是一种由苹果发酵而形成的具有解毒、降脂、减肥等明显药效的健康f食品。
内蒙古翁牛特旗乌丹第一中学2017-2018学年高二数学下学期开学考试(第一次测试)试题 文
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高二下学期开学测试(文科数学)一、选择题(共12小题,每题5分)1.已知集合A ={x|x<1},B ={x|3x<1},则( )A .A ∩B ={x|x<0}B .A ∪B =RC .A ∪B ={x|x>1}D .A ∩B =∅ 2.设复数z 满足(1+i)z =2i ,则|z|等于( )A .12B .22C . 2D .23.如图,正方形ABCD 内的图形来自中国古代的太极图,正方形内切圆中的黑色部分和白色部分关于正方形的中心成中心对称.在正方形内随机取一点,则此点取自黑色部分的概率是( )A .14B .π8C .12D .π44.设变量x ,y 满足约束条件0,20,12,y x y y x +-⎧≥--≤≥⎪⎨⎪⎩则目标函数2z x y =+的最小值为()D.5))7.执行右侧的程序框图,如果输入的a =-1,则输出的S 等于( )A .-4B .-3C .2D .38.已知F 1、F 2为双曲线的焦点,过F 2垂直于实轴的直线交双曲线于A 、B 两点,BF 1交y 轴于点C ,若AC ⊥BF 1,则双曲线的离心率为( )A .B .C .2D .29.若函数y =f(x)的图象上存在两点,使得函数的图象在这两点处的切线互相垂直,则称y =f(x)具有T 性质.下列函数中具有T 性质的是( )A .y =x 3B .y =lnxC .y =e xD .y =sinx10.已知圆柱的高为1,它的两个底面的圆周在直径为2的同一个球的球面上,则该圆柱的体积为( )A . π4B .π2C .3π4D .π 11.设O 为坐标原点,P 是以F 为焦点的抛物线y 2=2px(p>0)上任意一点,M 是线段PF 上的点,且|PM|=2|MF|,则直线OM 的斜率的最大值为( )A .1B .32C .33D .22 12.已知函数f(x)=x 2-2x +a (e x -1+e -x +1)有唯一零点,则a 等于( )A .-12B .13C .12D .1 二、填空题(共4小题,每题5分)13.设向量a =(m,1),b =(1,2),且b a a |2+|b |2,则m =________. 14.已知sin 31cos )6(=--ααπ= . 3x 1x ,若f(a -1)+f(2a 2)≤0,x 轴上,E 上的点与E 的两个焦点构成的三角形面0交椭圆于E 于N M ,两点.设P 为线段MN 的中,则椭圆方程为 . 分.)17.(10分)如图是我国2008年至2014年生活垃圾无害化处理量(单位:亿吨)的折线图:注:年份代码1-7分别对应年份2008-2014(1)由折线图看出,可用线性回归模型拟合y与t的关系,建立y关于t的回归方程(系数精确到0.01)(2)预测2018年我国生活垃圾无害化处理量.附注:参考数据:i=9.32,iiy=40.17,=0.55,≈2.646.参考公式:回归方程=+t中斜率和截距最小二乘估计公式分别为==∑∑-=--niiniiit nty t nyt1221,=-.18.(12分)设数列{a n}满足a1+3a2+…+(2n-1)a n=2n.(1)求{a n}的通项公式;(2)求数列⎭⎬⎫⎩⎨⎧+12nan的前n项和.19.(12分)△ABC的内角A,B,C的对边分别为a,b,c,已知△ABC的面积为Aasin32.(1)求sin Bsin C;(2)若6cos Bcos C=1,a=3,求△ABC的周长.20.(12分)如图,四棱锥P-ABCD 中,PA ⊥底面ABCD ,AD ∥BC ,AB =AD =AC =3,PA =BC =4,M 为线段AD 上一点,AM =2MD ,N 为PC 的中点.(1)证明:MN ∥平面PAB ;(2)求四面体NBCM 的体积.21.(12分)已知椭圆12222=+by a x (a >b >0)0,﹣b )和B (a ,0)的直线与原点的距离为. (1)求椭圆的方程.(2)已知定点E (﹣1,0),若直线y=kx+2(k ≠0)与椭圆交于C 、D 两点.问:是否存在k 的值,使以CD 为直径的圆过E 点?请说明理由.22.(12分))已知函数f (x )=ln x +ax 2+(2a +1)x .(1)讨论f (x )的单调性;(2)当a <0时,证明f (x )≤-34a-2.高二下学期开学考试答案(文科)一选择题:1-5 ACBBA 6-10 BDBDC 11,12 DC二填空题:13. -2 14.97 15.⎥⎦⎤⎢⎣⎡-21,1 16.1162522=+y x17. 解:(1)y ^=0.92+0.10×11=2.02. 2.02亿吨.a n =2n ,n -1=2(n -1),所以{a n }的通项公式为a n =2n -1.(2)记⎩⎨⎧⎭⎬⎫a n 2n +1的前n 项和为S n .由(1)知a n 2n +1=2n +n -=12n -1-12n +1,则S n =11-13+13-15+…+12n -1-12n +1=2n2n +1.19.解 (1)由题设得12ac sin B =a 23sin A ,即12c sin B =a 3sin A. 由正弦定理,得12sin C sin B =sin A 3sin A, 故sin B sin C =23. (2)由题设及(1),得cos B cos C -sin B sin C =-12, 即cos(B +C )=-12.所以B +C =2π3,故A =π3. 由题意得12bc sin A =a 23sin A,a =3,所以bc =8. 由余弦定理,得b 2+c 2-bc =9,即(b +c )2-3bc =9.由bc =8,得b +c =33.故△ABC 的周长为3+33.20.(1)证明 由已知得AM =23AD =2. 如图,取BP 的中点T ,连接AT ,TN ,由N 为PC 中点知TN ∥BC ,TN =12BC =2.又AD ∥BC ,故TN //AM ,所以四边形AMNT 为平行四边形,于是MN ∥AT .因为AT ⊂平面PAB ,MN ⊄平面PAB ,所以MN ∥平面PAB .(2)解 因为PA ⊥平面ABCD ,N 为PC 的中点,所以N 到平面ABCD 的距离为12PA . 取BC 的中点E ,连接AE .由AB =AC =3得AE ⊥BC ,AE =AB 2-BE 2= 5.由AM ∥BC 得M 到BC 的距离为5,故S △BCM =12×4×5=2 5. 所以四面体N-BCM 的体积V N-BCM =13×S △BCM ×PA 2=453.21.解:(1)∵直线过点A (0,﹣b )和B (a ,0),∴直线L :与坐标原点的距离为,∴=.①∵椭圆的离心率 e =,∴.② 由①得4a 2b 2=3a 2+3b 2,即4a 2(a 2﹣c 2)=3a 2+3(a 2﹣c 2)③由②③得a 2=3,c 2=2∴b 2=a 2﹣c 2=1 ∴所求椭圆的方程是+y 2=1(2)直线y =kx +2代入椭圆方程,消去y 可得:(1+3k 2)x 2+12kx +9=0∴△=36k 2﹣36>0,∴k >1或k <﹣1设C (x 1,y 1),D (x 2,y 2),则有x 1+x 2=,x 1x 2= ∵=(x 1+1,y 1),=(x 2+1,y 2),且以CD 为圆心的圆过点E ,∴EC ⊥ED∴(x 1+1)(x 2+1)+y 1y 2=0∴(1+k 2)x 1x 2+(2k +1)(x 1+x 2)+5=0 )×)×k =>1,fx +ax x ,+∞)时,f ′(x )>0,+∞)上单调递增.若a <0,则当x ∈⎝⎭⎪⎫0,-2a 时,f ′(x )>0; 当x ∈⎝ ⎛⎭⎪⎫-12a ,+∞时,f ′(x )<0. 故f (x )在⎝ ⎛⎭⎪⎫0,-12a 上单调递增,在⎝ ⎛⎭⎪⎫-12a ,+∞上单调递减. (2)证明 由(1)知,当a <0时,f (x )在x =-12a 处取得最大值,最大值为f ⎝ ⎛⎭⎪⎫-12a =ln ⎝ ⎛⎭⎪⎫-12a-1-14a ,所以f (x )≤-34a -2等价于ln ⎝ ⎛⎭⎪⎫-12a -1-14a ≤-34a -2,即ln ⎝ ⎛⎭⎪⎫-12a +12a +1≤0.设g (x )=ln x -x +1,则g ′(x )=1x -1.当x ∈(0,1)时,g ′(x )>0;当x ∈(1,+∞)时,g ′(x )<0.所以g (x )在(0,1)上单调递增,在(1,+∞)上单调递减. 故当x =1时,g (x )取得最大值,最大值为g (1)=0. 所以当x >0时,g (x )≤0.从而当a <0时,ln ⎝ ⎛⎭⎪⎫-12a +12a +1≤0,即f (x )≤-34a -2.。
内蒙古翁牛特旗乌丹第一中学2017-2018学年高二物理下学期开学考试(第一次测试)试题
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高二物理下学期第一次阶段测试题一、选择题(共12小题,每小题4分,共48分,1-8单选,9-12多选)21 .将面积是0.5m 的导线环放在匀强磁场中,环面与磁场方向垂直。
已知穿过这个导线环 的磁通量是2.0 x 10-2wb,则该磁场的磁感应强度为( )-2-2-2A 1.0 X 10 TB 、4.0 x 10 TC 、25TD 、2.0 x 10 T2•如图所示,在真空中相距为L 的a 、b 两点分别放置电荷量大小均为 Q 的正、负电荷,那么在离a 、b 两点距离都等于L 的点的电场强度的方向和该点的场强大小为(B .沿 b 到a 方向, 场有一固定点P ,若将B 极板固定,A 极板下移一些,或者将 A 极板固定,B 极板上移一些,在这两种情况下,以下说法正确的是 ()A. C. 方向沿ab 中垂线向外, 3.一个点电荷从静电场的 kQ 4L 2a 、b 两点的电势差为零,A. B. C. D. 4. kQ2- D •方向沿ab 中垂线向里,L 2a 点移到b 点,a 、b 两点的场强一定相等 该点电荷一定沿某一等势面移动 作用于该点的该点电荷在a 、b 两点的电势能一定相等 如图所示,直线OAC 为某一直流电源的总功率P 总随电流I 变化的图线,抛物线OBC 为同一直流电源内部热功率 P 随电流I 变化的图线。
表示的功率差及I = 2 A 对应的外电阻是(B 对应的横坐标为 2 A ,那么线段ABA. 2 W ,B. 4 W ,C. 2 W , 1iD. 6 W ,5. A. C.6. 如图电路中,当可变电阻 AB 两点间的电压U 增大 通如图所示,平行板电容器的两极板为 R 的阻值增大时,下列说法正确的是(B. AB 两点间的电压 U 减小D .通过R >的电流强度I 减小 A B , B 极板接地,A 极板带有电荷量+Q 板间电 -0.5 Q2 QIRA. A极板下移时,B. A极板下移时,C. B极板上移时,D. B极板上移时, P点的电场强度增大,P点的电场强度不变,P点的电场强度不变,P点的电场强度减小,P点电势不变P点电势升高P点电势降低P点电势升高f ~A +GB *P7•有一个可以自由运动的矩形线框的旁边竖直立着一根固定的直导线,导线中通以方向向上的恒定电流I i ,线框平面与导线平行,且两边到直导线的距离相等,的作用,当线框中通以图示方向的电流丨2时,线框的运动是( )10.如图所示,在匀强磁场中放有平行铜导轨,它与大线圈 M 相连接,要使小导线圈 N 获得顺时针方向的感应电流,则放在导轨上的金属棒 ab 的运动情况(两线圈共面放置)是()如图所示,不A.从上往下看,线框顺时针转动并向导线靠近B. 从上往下看,线框逆时针转动并离开导线C. 线框朝靠近导线方向平动D. 线框朝远离导线方向平动如图所示,A B 、C 三点都在匀强电场中,已知 电量为10-5c 的正电荷从A 移到B,电场力做功为零, 则该匀强电场的电场强度大小和方向( A. 865V/m,垂直AC 向左 B. 865V/m,垂直AC 向右 C. 1000V/m,垂直AB 斜向上 D. 1000V/m,垂直AB 斜向下 ACL BC, / ABC=60 , / '^L3从B 移到C ,电场力做功-1.73 X 10- J ,广BC=20cm 把一个9.一带电粒子射入一固定在O 点的点电荷的电场中,粒子运动轨道如图虚线 图中实线是同心圆弧,表示电场的等势面,不计重力,则可以断定()此粒子一直受到静电排斥力b 点的电势能一定大于 a 点的电势能 a 、b 、c 所示,A. B. C. D. 粒子在 粒子在b 点的速度一定大于 a 点的速度 a 点和c 点速度大小相等 粒子在 A.向右匀速运动 B.向左加速运动 C.向右减速运动D.向右加速运动11. 有一横截面积为 S 的铜导线,流经其中的电流强度为 I ,设每单位体积的导线有 n 个自由电子,电子的电荷量为 q ,此时电子的定向移动速率为▼,在△ t 时间内通过横截面积的电子数目可表示为()A. nSv A tB. nv A tCA. E 和B 都沿x 轴方向 B E 沿y 轴正向,B 沿z 轴正向V二、实验题(共2小题,15分). 13、( 6分)已知电流表的内阻 R g =10门,满偏电流l g =3mA .要把它改装成量程是 6V 的 电压表,应 ____________ 联一个电阻,其阻值 R= ________ Q ;若用它来测量一段电路两端电压时,表盘指针如图所示,这段电路两端的电压是 ________ V.14、(9分)在做测干电池的电动势和内电阻的实验时, 备有下列器材选用:A. 干电池一节(电动势约为 1.5V )B. 直流电流表(量程 0-0.6-3A,0.6A 挡内阻0.10 Q , 3A 挡内阻0.025 Q )C. 直流电压表(量程 0-3-15V,3V 挡内阻5K Q , 15V 挡内阻25K Q )D. 滑动变阻器 (阻值范围0-15 Q ,允许最大电流IA )E. 滑动变阻器(阻值范围0-1000 Q ,允许最大电流0.5A )F. 电键G. 导线若干根H. 电池夹◎ ( 2分)滑动变阻器选用 ______________笑(3分)将选定的器材按本实验要求的电路(系统误差较小),在所示的实物图上连线。
内蒙古翁牛特旗乌丹第一中学20192020学年高二英语下学期开学考试(第一次测试)试题
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内蒙古翁牛特旗乌丹第一中学2017-2018学年高二英语下学期开学考试(第一次测试)试题第二部分阅读理解(共两节,满分40分)第一节(共15小题;每小题2分,满分30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( A )Ellis Island is located in New York Harbor. Ellis Island is open daily year round from 9:30 a.m. to 5 p.m., with extended hours during summer. It is closed on December 25. There is no admission charge to Ellis Island; but donations are gratefully accepted.At Your FingertipsPark information (212) 363-7620Emergencies (212) 363-3260Ferryboat information (212) 269-5755Lost and found (212)363-7620Dining, gifts & audio tour 344-0996TransportationStatue of Liberty and Ellis Island Ferry; boats leave from Battery Park, Manhattan, and from Liberty State Park, New Jersey. They run about every 30 to 45 minutes beginning at 9:15 a.m.(The time for ferry is changeable)Hours: May vary; call the number aboveClosed: December 25Ferry fees (includes Liberty and Islands) adults, $7; senior citizens, $6; children (age 3~17), $5. (Group rates are available for 25 or more adults.)21. In summer, visitors will have ______ to visit Ellis Island.A. a limited timeB. a longer timeC. a shorter timeD. a wonderful time22. Which number would you call if our friends were suddenly ill?A. (212)344-0996B. (212)363-7620C. (212) 363-3260D. (212) 269-575523. Which of the following is NOT true?A. People can visit Ellis Island free of charge.B. The boats departure time from Battery Park is at 9:15 all the year round.C. Ferry fees for children are cheaper than for adults.D. Ferry fees for group visitors can be reduced.( B )“Pop” stands for popular, and a pop singer has to work very hard to stay popular. He must either give the public what they want, or he must find a new way of singing that will attract their attention. Even when he has succeeded, and his records are sold everywhere, he cannot relax. Then he must work harder than everto remain popular, because there are always younger singers trying to become famous and to steal some of the popularity.The li fe of a successful pop singer isn’t easy at all. He can only relax when he is alone, because everything he does is watched and reported in the special newspaper written for the fans. The fans are the most important people in the world for the singer. They buy his records, they go to his concerts, and they make him rich and famous. But they can be very annoying, too. Sometimes their enthusiasm is so hysterical(歇斯底里的) that they do anything to get a souvenir. They steal handkerchief, they tear off buttons, and they even cut off pieces of unfortunate singer’s hair. Many singers have been forced to hide, and some who have not been so lucky as to escape have been stripped(剥) practically naked by their fans. A pop singer has to spend a lot of money on clothes because he must always look smart, or at any rate, different. He must have a luxurious(豪华的) car. And most importantly, he must always keep smiling for the benefit of his public.24. Pop singer works very hard ___________.A. to get attentionB. to stay popularC. to get more moneyD. to sell more records25. The underlined word “annoying” in the second paragraph means__________.A. lovelyB. friendlyC. boringD. angry26. A pop singer has a lot of clothes in order to keep himself _________.A. smart and the sameB. smart and differentC. healthy and youngD. rich and strong27. A suitable title for this passage might be _______.A. The Way to Become a Pop SingerB. The Fans of the Pop SingerC. The Pop SingersD. The Success of Pop Singers( C )The host poured the tea into the cup and placed it on the small table in front of his guests, who were a father and daughter, and put the lid on the cup with a clink. Apparently thinking of something, he hurried into the inner room, leaving the thermos(热水瓶) on the table. His two guests heard a chest of drawers opening and a rustling.They remained sitting in the parlor(客厅), the ten-year-old daughter looking at the flowers outside the window, the father just about to take his cup, when the crash came, right there in the parlor. Something was hopelessly broken.It was the thermos, which had fallen to the floor. The girl looked over her shoulder abruptly, startled, staring. It was mysterious. Neither of them had touched it, not even a little bit. True, it hadn’t stood steadily when their host placed it on the table, but it hadn’t fallen then.The crash of the thermos caused the host, with a box of sugar cubes in his hand, to rush back from the inner room. He gawked at the steaming floor and blurted out, “It doesn’t matter! It doesn’t matter!”The father started to say something. Then he muttered, “Sorry, I touched it and it fell.”“It doesn’t matter,” t he host said.Later, when they left the house, the daughter said, “Daddy, did you touch it?”“No. But it stood so close to me.”“But you didn’t touch it. I saw your reflection in the windowpane. You were sitting perfectly still.”The father la ughed. “What then would you give as the cause of its fall?”The thermos fell by itself. The floor is uneven. It wasn’t steady when Mr. Li put it there. Daddy, why did you say that you… ?”“That won’t do,” girl. It sounds more acceptable when I say I knocked it down. There are things which people accept less, the more you defend them. The truer the story you tell, the less true it sounds.”The daughter was lost in silence for a while. Then she said, “Can you explain it only this way?”“Only this way,” her father said.28. The underlined words “ blurted out” in Paragraph 4 means “ _______”.A. said quietlyB. said mysteriouslyC. said quicklyD. said patiently29. The location of the thermos before it fell was __________.A. on the floor of the inner roomB. on the windowpaneC. on a small table in the parlorD. behind the father and daughter30. It can be inferred from the story that the father _________.A. didn’t know Mr. Li very wellB. didn’t think Mr. Li wo uld believe the truthC. was sorry that he told the truthD. was a stubborn man31. The story shows us that ___________.A. people rarely tell the truthB. if you defend yourself, people will believe youC. people should take the blame for something that they didn’t doD. you can’t always make people believe the truth( D)If you are human, you can’t help but experience times when everything seems to be going wrong and you feel as if your life is completely out of control. It is during those “down times” that words of encouragement from family, friends, co-workers or even strangers can lighten your spirits. It is also during those times that destructive words can sink you deeper and deeper into depression.For example, consider this story about a group of frogs who were traveling through the woods when two of them fell into a deep pit(坑). All of the other frogsgathered around the pit. When they saw how deep the pit was, they told the two unfortunate frogs they would never get out.The two frogs ignored the comments and tried to jump out of the pit. The other frogs kept telling them to stop. Finally, one of the frogs took heed of what the other frogs were saying and simply gave up. He fell down and died. The other frog continued to jump as hard as he could. Once again the crowd of frogs shouted at him to stop the pain. The more they shouted, the harder he jumped and finally he made it to safety.When he got out, the other frogs asked him why he continued to jump when they were all shouting at him to simply quit. The frog explained to them that he was a little bit deaf. He thought they were encouraging him the entire time.Every time you have a chance to say either something positive or negative to another human being, do choose the chance to say something positive! Don’t let those opportunities get away from you. Your words have a large amount of power. Use them wisely. You really never know just how much they can mean to someone else.32. The first paragraph tells us that words play an important part especially when _______.A. we stay with our family, friends and co-workersB.we hear strangers say something to usC.C. we get through hard times in life.D.we make some big mistakes.33. The underlined phrase “took heed of” has the similar meaning with “_____”A. acted according toB. had some doubtC. held on toD. got used to34. The more they shouted, the harder he jumped and finally he made it to safety. That’s because_______________.A. he struggled to prove that they were wrongB.he thought they were encouraging himC.C. he was angry with what they saidD.he didn’t want to let them down.35. After reading the passage, readers should learn a lesson that _________.A. we can use encouraging words to help others outB. having a positive attitude is important in lifeC. never give up until we winD. we must believe in ourselves rather than others第二节(共5小题;每小题2分,满分10 分)根据短文内容,从短文后的选项中选出能填入空白处的最佳选项。
内蒙古翁牛特旗乌丹第一中学高二数学下学期开学考试(第一次测试)试题 理
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高二下学期开学测试(理科数学)一、选择题(共12小题,每题5分)1.已知集合A ={x|x<1},B ={x |3x<1},则( ) A .A ∩B ={x |x 〈0} B .A ∪B =R C .A ∪B ={x|x>1}D .A ∩B =∅2.设复数z 满足(1+i)z =2i,则|z|等于( ) A .错误!B .错误!C .错误!D .23。
如图,正方形ABCD 内的图形来自中国古代的太极图,正方形内切圆中的黑色部分和白色部分关于正方形的中心成中心对称.在正方形内随机取一点,则此点取自黑色部分的概率是( )A .错误!B .错误!C .错误!D .错误!4.设变量x ,y 满足约束条件0,20,12,y x y y x +-⎧≥--≤≥⎪⎨⎪⎩则目标函数2z x y =+的最小值为()A.2 B 。
3 C 。
4 D 。
5 5。
某几何体的三视图如图所示,则该几何体的体积为( )A.13π+ B 。
23π+ C 。
123π+ D 。
223π+6.“1x >”是“12log (2)0x +<的”( )A 。
充要条件 B.充分而不必要条件 C 。
必要而不充分条件 D.既不充分也不必要条件7。
执行右侧的程序框图,如果输入的a =-1,则输出的S 等于( ) A .-4 B .-3 C .2 D .38。
已知F 1、F 2为双曲线的焦点,过F 2垂直于实轴的直线交双曲线于A 、B 两点,BF 1交y 轴于点C,若AC ⊥BF 1,则双曲线的离心率为( ) A .B .C .2D .29.若函数y =f (x )的图象上存在两点,使得函数的图象在这两点处的切线互相垂直,则称y =f (x )具有T 性质.下列函数中具有T 性质的是( ) A .y =x 3 B .y =lnx C .y =e x D .y =sinx10.已知正四棱锥S -ABCD 的侧棱长与底面边长都相等,E 是SB 的中点,则AE,SD 所成的角的余弦值为( )A .31 B .32 C .33 D .32 11.设O 为坐标原点,P 是以F 为焦点的抛物线y 2=2px(p>0)上任意一点,M 是线段PF 上的点,且|PM |=2|MF|,则直线OM 的斜率的最大值为( )A .1B .32C .33D .2212.已知函数f (x)=x 2-2x +a (ex -1+e-x +1)有唯一零点,则a 等于( )A .-错误!B .错误!C .错误!D .1二、填空题(共4小题,每题5分)13。
内蒙古翁牛特旗乌丹第一中学高二数学下学期开学考试(第一次测试)试题 文
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高二下学期开学测试(文科数学)一、选择题(共12小题,每题5分)1.已知集合A ={x|x<1},B ={x |3x<1},则( ) A .A ∩B ={x |x 〈0} B .A ∪B =R C .A ∪B ={x|x 〉1}D .A ∩B =∅2.设复数z 满足(1+i)z =2i ,则|z|等于( ) A .错误!B .错误!C .错误!D .23.如图,正方形ABCD 内的图形来自中国古代的太极图,正方形内切圆中的黑色部分和白色部分关于正方形的中心成中心对称.在正方形内随机取一点,则此点取自黑色部分的概率是( )A .错误!B .错误!C .错误!D .错误!4.设变量x ,y 满足约束条件0,20,12,y x y y x +-⎧≥--≤≥⎪⎨⎪⎩则目标函数2z x y =+的最小值为()A.2 B 。
3 C 。
4 D 。
5 5.某几何体的三视图如图所示,则该几何体的体积为( )A 。
13π+ B.23π+ C.123π+ D 。
223π+ 6。
“1x >”是“12log (2)0x +<的”( )A.充要条件B.充分而不必要条件 C 。
必要而不充分条件 D.既不充分也不必要条件7.执行右侧的程序框图,如果输入的a =-1,则输出的S 等于( ) A .—4 B .—3 C .2 D .38。
已知F 1、F 2为双曲线的焦点,过F 2垂直于实轴的直线交双曲线于A 、B 两点,BF 1交y 轴于点C ,若AC ⊥BF 1,则双曲线的离心率为( ) A .B .C .2D .29。
若函数y =f(x)的图象上存在两点,使得函数的图象在这两点处的切线互相垂直,则称y =f(x)具有T 性质.下列函数中具有T 性质的是( ) A .y =x 3 B .y =lnx C .y =e x D .y =sinx10.已知圆柱的高为1,它的两个底面的圆周在直径为2的同一个球的球面上,则该圆柱的体积为( ) A . 错误! B .错误! C .错误! D .π11.设O 为坐标原点,P 是以F 为焦点的抛物线y 2=2px(p>0)上任意一点,M 是线段PF 上的点,且|PM |=2|MF |,则直线OM 的斜率的最大值为( )A .1B .32C .33D .2212.已知函数f(x)=x 2-2x +a (ex -1+e-x +1)有唯一零点,则a 等于( )A .-错误!B .错误!C .错误!D .1二、填空题(共4小题,每题5分)13.设向量a =(m ,1),b =(1,2),且|b a +|2=|a |2+|b |2,则m =________. 14。
高二英语下学期开学考试第一次测试试题
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内蒙古翁牛特旗乌丹第一中学2017-2018学年高二英语下学期开学考试(第一次测试)试题第二部分阅读理解(共两节,满分40分)第一节(共15小题;每小题2分,满分30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( A )Ellis Island is located in New York Harbor. Ellis Island is open daily year round from 9:30 a.m. to 5 p.m., with extended hours during summer. It is closed on December 25. There is no admission charge to Ellis Island; but donations are gratefully accepted.At Your FingertipsPark information (212) 363-7620Emergencies (212) 363-3260Ferryboat information (212) 269-5755Lost and found (212)363-7620Dining, gifts & audio tour 344-0996TransportationStatue of Liberty and Ellis Island Ferry; boats leave from Battery Park, Manhattan, and from Liberty State Park, New Jersey. They run about every 30 to 45 minutes beginning at 9:15 a.m.(The time for ferry is changeable)Hours: May vary; call the number aboveClosed: December 25Ferry fees (includes Liberty and Islands) adults, $7; senior citizens, $6; children (age 3~17), $5. (Group rates are available for 25 or more adults.)21. In summer, visitors will have ______ to visit Ellis Island.A. a limited timeB. a longer timeC. a shorter timeD. a wonderful time22. Which number would you call if our friends were suddenly ill?A. (212)344-0996B. (212)363-7620C. (212) 363-3260D. (212) 269-575523. Which of the following is NOT true?A. People can visit Ellis Island free of charge.B. The boats departure time from Battery Park is at 9:15 all the year round.C. Ferry fees for children are cheaper than for adults.D. Ferry fees for group visitors can be reduced.( B )“Pop” stands for popular, and a pop singer has to work very hard to stay popular. He must either give the public what they want, or he must find a new way of singing that will attract their attention. Even when he has succeeded, and his records are sold everywhere, he cannot relax. Then he must work harder than ever to remain popular, because there are always younger singers trying to become famous and to steal some of the popularity.The life o f a successful pop singer isn’t easy at all. He can only relax when he is alone, because everything he does is watched and reported in the special newspaper written for the fans. The fans are the most important people in the world for the singer. They buy his records, they go to his concerts, and they make him rich andhysterical(歇斯底里的) that they do anything to get a souvenir. They steal handkerchief, they tear off buttons, and they even cut off pieces of unfortunate singer’s hair. Many singers have been forced to hide, and some who have not been so lucky as to escape have been stripped(剥) practically naked by their fans. A pop singer has to spend a lot of money on clothes because he must always look smart, or at any rate, different. He must have a luxurious(豪华的) car. And most importantly, he must always keep smiling for the benefit of his public.24. Pop singer works very hard ___________.A. to get attentionB. to stay popularC. to get more moneyD. to sell more records25. The underlined word “annoying” in the second paragraph means__________.A. lovelyB. friendlyC. boringD. angry26. A pop singer has a lot of clothes in order to keep himself _________.A. smart and the sameB. smart and differentC. healthy and youngD. rich and strong27. A suitable title for this passage might be _______.A. The Way to Become a Pop SingerB. The Fans of the Pop SingerC. The Pop SingersD. The Success of Pop Singers( C )The host poured the tea into the cup and placed it on the small table in front of his guests, who were a father and daughter, and put the lid on the cup with a clink. Apparently thinking of something, he hurried into the inner room, leaving the thermos(热水瓶) on the table. His two guests heard a chest of drawers opening and a rustling.They remained sitting in the parlor(客厅), the ten-year-old daughter looking at the flowers outside the window, the father just about to take his cup, when the crash came, right there in the parlor. Something was hopelessly broken.It was the thermos, which had fallen to the floor. The girl looked over her shoulder abruptly, startled, staring. It was mysterious. Neither of them had touched it, not even a little bit. True, it hadn’t stood steadily when their host placed it on the table, but it hadn’t fallen then.The crash of the thermos caused the host, with a box of sugar cubes in hisThe father started to say something. Then he muttered, “Sorry, I touched it and it fell.”“It doesn’t matter,” the host said.Later, when they left the house, the daughter said, “Daddy, did you touch it?”“No. But it stood so close to me.”“But you didn’t touch it. I saw your reflection in the windowpane. You were sitting perfectly still.”The father laughed. “What then would you give as the cause of its fall?”The thermos fell by itself. The floor is uneven. It wasn’t steady when Mr. Li put it there. Daddy, why did you say that you… ?”“That won’t do,” girl. It sounds more acceptable when I say I knocked it d own. There are things which people accept less, the more you defend them. The truer the story you tell, the less true it sounds.”The daughter was lost in silence for a while. Then she said, “Can you explain it only this way?”“Only this way,” her fat her said.28. The underlined words “ blurted out” in Paragraph 4 means “ _______”.A. said quietlyB. said mysteriouslyC. said quicklyD. said patiently29. The location of the thermos before it fell was __________.A. on the floor of the inner roomB. on the windowpaneC. on a small table in the parlorD. behind the father and daughter30. It can be inferred from the story that the father _________.A. didn’t know Mr. Li very wellB. didn’t think Mr. Li would believe the truthC. was sorry that he told the truthD. was a stubborn man31. The story shows us that ___________.A. people rarely tell the truthB. if you defend yourself, people will believe youC. people should take the blame for something that they didn’t doD. you can’t always make people believe the truth( D)If you are human, you can’t help but experience times when everything seems to be going wrong and you feel as if your life is completely out of control. It isduring those “down times” that words of encouragement from family, friends, co-workers or even strangers can lighten your spirits. It is also during those times that destructive words can sink you deeper and deeper into depression.For example, consider this story about a group of frogs who were traveling through the woods when two of them fell into a deep pit(坑). All of the other frogs gathered around the pit. When they saw how deep the pit was, they told the two unfortunate frogs they would never get out.The two frogs ignored the comments and tried to jump out of the pit. The other frogs kept telling them to stop. Finally, one of the frogs took heed of what the other frogs were saying and simply gave up. He fell down and died. The other frog continued to jump as hard as he could. Once again the crowd of frogs shouted at him to stop the pain. The more they shouted, the harder he jumped and finally he made it to safety.When he got out, the other frogs asked him why he continued to jump when they were all shouting at him to simply quit. The frog explained to them that he was a little bit deaf. He thought they were encouraging him the entire time.Every time you have a chance to say either something positive or negative to another human being, do choose the chance to say someth ing positive! Don’t let those opportunities get away from you. Your words have a large amount of power. Use them wisely. You really never know just how much they can mean to someone else.32. The first paragraph tells us that words play an important part especially when _______.A. we stay with our family, friends and co-workersB.we hear strangers say something to usC. we get through hard times in life.D.we make some big mistakes.33. The underlined phrase “took heed of” has the similar meaning with “_____”A. acted according toB. had some doubtC. held on toD. got used to34. The more they shouted, the harder he jumped and finally he made it to safety. That’s because_______________.A. he struggled to prove that they were wrongB.he thought they were encouraging himC. he was angry with what they saidD.he didn’t want to let them down.35. After reading the passage, readers should learn a lesson that _________.A. we can use encouraging words to help others outB. having a positive attitude is important in lifeC. never give up until we winD. we must believe in ourselves rather than others第二节(共5小题;每小题2分,满分10 分)根据短文内容,从短文后的选项中选出能填入空白处的最佳选项。
内蒙古翁牛特旗乌丹第一中学2017_2018学年高二数学下学期期中试题理
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内蒙古翁牛特旗乌丹第一中学2017-2018学年高二数学下学期期中试题 理第I 卷一、选择题:本大题共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.复数( )2(1)i i-=A .B .C .D .22i -+22-22i -2.设集合,,则( ) 2{|0}M x x x =->1|1N x x ⎧⎫=<⎨⎬⎩⎭A .B .C .D .φ=⋂N M φ=⋃N M M N =M N R = 3.已知,且,则( ) 1tan 2α=-(0,)απ∈sin 2α=A .B .C .D . 4545-3535-4.若两个单位向量,的夹角为,则( )a b 1202a b +=A .B .CD 235.6本不同的书在书架上摆成一排,要求甲、乙两本书必须摆放在两端,丙、丁两本书必须相邻,则不同的摆放方法有( )种 A .24B .36C .48D .606.我国古代数学名著《算法统宗》中有如下问题:“远望巍巍塔七层,红光点点倍加增,共灯三百八十一,请问尖头几盏灯?”意思是:一座7层塔共挂了381盏灯,且相邻两层中的下一层灯数是上一层灯数的2倍,则塔的顶层共有灯( )A .1盏B .3盏C .5盏D .9盏 7.中心在原点,焦点在轴上的双曲线的一条渐近线经y过点,则它的离心率为( )()2,4-A B .2CD8.某几何体的三视图如图所示,则该几何体的外接球的体积是( )A .B .C .D .π12π8π38π349.20世纪70年代,流行一种游戏——角谷猜想,规则如下:任意写出一个自然数,按照以下的规律进行变n 换:如果是个奇数,则下一步变成;如果n 31n +n 是个偶数,则下一步变成,这种游戏的魅力在于无论2n你写出一个多么庞大的数字,最后必然会落在谷底,更准确地说是落入底部的4-2-1循环,而永远也跳不出这个圈子,下列程序框图就是根据这个游戏而设计的,如果输出的值为,则输入的值为( ) i 6n A .B .516C .或 D .或或 532453210.已知P 是△ABC 所在平面外的一点,M 、N 分别是AB 、PC 的中点,若MN =BC =4,PA =4,则异面直线PA 与MN 所成角的大小是( )3A .30° B .45° C .60° D .90°11.若将函数f(x)=sin(2x +φ)+cos(2x +φ)(0<φ<π)的图象向左平移个单位长度,3π4平移后的图象关于点对称,则函数g(x)=cos(x +φ)在上的最小值是(π2,0)[-π2,π6]( )A .-B .-C .D .1232221212.若对函数()f x 定义域D 上任意的两个不相等的实数,都有12x x ,成立,则称函数()f x 具有M 性质.下列函数:()()()()11221221x f x +x f x x f x +x f x ≥(1);(2);(3);(4);(5)3y=-x y=ln x+2x-62x -2x-3y=e 22x +4x x 0y=-x +4x x 0⎧≥⎪⎨⎪⎩,,<,(6)中具有M 性质的函数的个数为( ) y=3x-2sin x-2cos x 312x xy x x e e =-+-A .3B .4C .5D .6第Ⅱ卷二、填空题:本大题共4小题,每小题5分. 13.已知函数f(x)=log 2,若f(a)=,则f(-a)=________. 1-x 1+x 1214.设实数x ,y 满足约束条件0,40,5,y x y x y ≥⎧⎪-≥⎨⎪+≤⎩则25z x y =++的最大值为 .15.设,则二项式展开式中的第项的系数为__________.221(32)a x x dx =⎰-261()ax x-616.已知点A(0,1),抛物线C :y 2=ax(a>0)的焦点为F ,连接FA ,与抛物线C 相交于点M ,延长FA ,与抛物线C 的准线相交于点N ,若|FM|∶|MN|=1∶3,则实数a 的值为________. 三.解答题17.(本小题满分10分)的内角所对的边分别为,已知ABC ∆A B C 、、,,a b c , ()2sin 8sin 2B AC +=(1)求;cos B (2)若,的面积为,求。
内蒙古翁牛特旗乌丹第一中学2017_2018学年高二数学下学期期中试题文
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内蒙古翁牛特旗乌丹第一中学2017-2018学年高二数学下学期期中试题 文第I 卷一、选择题:本大题共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,,则 {|12}A x x =-<<2{|20}B x x x =+<A B = A .B .C .D .)0,1(-)1,2(--)0,2(-)2,2(-2.设是虚数单位,若复数是纯虚数,则 i )()2(1R a i a a ∈-+-a =A . B . C . D . 1-12-23.等差数列的前11项和,则 {}n a 8811=S =+93a a A .8B .16C .24D .324.中心在原点,焦点在轴上的双曲线的一条渐近线经过点,则它的离心率为 y ()2,4-AB .2CD5.设x ,y 满足约束条件Error!则z =2x +y 的最小值是( ) A .-15 B .-9 C .1 D .96.已知MOD 函数是一个求余函数,其格式为(,)MOD n m ,其结果为n 除以m 的余数,例如(8,3)2MOD =.右面是一个算法的 程序框图,当输入的值为25时,则输出 的结果为 A .4 B .5 C .6D .77.已知都是实数,:直线与 ,a b p 0x y +=圆相切;:,()()222x a y b -+-=q 2a b +=则是的 p q A .充分不必要条件 B .必要不充分条件 C .充要条件D .既不充分也不必要条件8.某产品的广告费用x 与销售额y 的统计数据如下表:广告费用x(万元)4235销售额y(万元) 49 26 39 54根据上表可得回归方程=x +中的为9.4,据此模型预报广告费用为6万元时销售额为 y b a b A .62.6万元B .63.6万元C .64.7万元D .65.5万元9.某空间几何体的三视图如图所示,则该几何体的体积为 A .B .C .D . 373838π-37π-10.平行四边形ABCD 中,,,3AB =4AD =,,则MA MB ⋅的值为6AB AD ⋅=- 13DM DC = A .10 B .12 C . 14 D .1611.已知函数,若将函数的图象向右平移个单位后()2sin(2)(0)f x x ϕϕπ=+<<()f x 6π关于轴对称,则下列结论中不正确的是 y A . B .是图象的一个对称中心56πϕ=(,0)12π()f x C . D .是图象的一条对称轴()2f ϕ=-6x π=-()f x 12.已知不等式对于恒成立,则的取值范围是222y ax xy +≤[]3,2],2,1[∈∈y x a A . B . C . D .[)+∞,1[)4,1-[)+∞-,1[]6,1-第Ⅱ卷二、填空题:本大题共4小题,每小题5分.13.函数的极小值点为___________.x x x f 3)(3-=14.在平面直角坐标系中,抛物线上的点到焦点距离为3,那么该点到轴的距xOy x y 42=y 离为_______.15.设,m n 是两条不同的直线,,αβ是两个不同的平面,有下列正确命题的序号是 .(1)若m ∥α,n ∥α,则m ∥n , (2)若则 ,m m n α⊥⊥//n α(3)若,且,则; (4)若,,则 m α⊥n β⊥m n ⊥αβ⊥β⊂m βα//α//m 16.设数列{}n a 的前n 项和为n S ,已知,,11=a )(13*11N n S S a n n n ∈--=++则=________. 10S三、解答题:解答应写出文字说明,证明过程或演算步骤. 17.(本小题满分12分)在中,,.ABC ∆3π=A CB sin 5sin 3=(1)求; B tan (2)的面积,求的边的长. ABC ∆4315=S ABC ∆BC 18.(本小题满分12分)如图,在四棱锥中,,,,ABCD E -ABCD ED 平面⊥CD AB //AD AB ⊥.122AB AD CD === (1)求证:; BDE BC 面⊥ (2)当几何体的体积等于时,求四棱锥. ABCE 34的侧面积.ABCD E -19.(本小题满分12分)某水产品经销商销售某种鲜鱼,售价 为每公斤元,成本为每公斤元.销 2015售宗旨是当天进货当天销售.如果当天卖 不出去,未售出的全部降价处理完,平均 每公斤损失元.根据以往的销售情况, 3按,,,[0,100)[100,200)[200,300),进行分组,得到如图所示的频率分布直方图.[300,400)[400,500](1)根据频率分布直方图计算该种鲜鱼日需求量的平均数(同一组中的数据用该组区x 间中点值代表);(2)该经销商某天购进了公斤这种鲜鱼,假设当天的需求量为公斤300x ,利润为元.求关于的函数关系式,并结合频率分布直方图估计利润(0500)x ≤≤Y Y x Y不小于元的概率. 70020.(本小题满分12分)已知椭圆的焦距为,且C 与y 轴交于()2222:10x y C a b a b+=>>()()0,1,0,1A B -两点.(1)求椭圆C 的标准方程;(2)设P 点是椭圆C 上的一个动点且在y 轴的右侧,直线PA ,PB 与直线交于M ,N 3x =两点.若以MN 为直径的圆与x 轴交于E ,F 两点,求P 点横坐标的取值范围. 21.(本小题满分12分)已知函数.()xf x xe =(1)讨论函数的单调性;()()xg x af x e =+(2)若直线与曲线的交点的横坐标为,且,求整数2y x =+()y f x =t [],1t m m ∈+m 所有可能的值.请考生在第22-23题中任选一题作答,如果多做,则按所做的第一题计分. 22.(本小题满分10分) 选修4-4:坐标系与参数方程在直角坐标系中,以原点为极点,x 轴的正半轴为极轴建立极坐标系,已知曲线C :,过点的直线l 的参数方程为: (t 为参数),2sin 2cos (0)a a ρθθ=>(24)P --,24x y ⎧=-⎪⎪⎨⎪=-⎪⎩直线l 与曲线C 分别交于M 、N 两点.(1)写出曲线C 的直角坐标方程和直线l 的普通方程; (2)若|PM |,|MN |,|PN |成等比数列,求a 的值. 23.(本小题满分10分)选修4—5;不等式选讲.已知函数.|1|||)(--=x x x f (1)若的解集非空,求实数的取值范围;|1|)(-≥m x f m (2)若正数满足,为(1)中m 可取到的最大值,求证:. y x ,M y x =+22M xy y x 2≥+文科数学试题参考答案 一、选择题:本大题共12小题,每小题5分. 题号 1 2 3 4 5 6 7 8 9 10 11 12 答案 ABBAABBDCDCC二.填空题:13.1 14. 2 15.(3) (4) 16. 2513三、解答题: 17.解:(1)由得,,由得,B B BC B sin 32cos 5cos 32sin 532sin 5sin 5sin 3πππ-=⎪⎭⎫⎝⎛-==……4分,所以,B B sin 25cos 235+=B B cos 235sin 21=(2)设角、、所对边的长分别为、、 由和正弦定理得,由得解得(负值舍去)由余弦定理得,18.(本小题满分12分)(1)解:取的中点,连结,CD F BF 则直角梯形中,,ABCD BF CD ⊥BF CF DF ==即:90CBD ∴∠=︒BD BC ⊥平面,平面⊥DE ABCD ⊂BC ABCDDE BC ⊥∴ 又 BD DE D ⋂=BDE BC 平面⊥∴(2)解: 1112433233ABCE E ABC ABC V V DE S DE AB AD DE -∆==⨯⨯=⨯⨯⨯⨯== 2DE ∴= ,,2222=+=∴AD DE EA 3222=+=BD DE BE 又 2=AB 222AE AB BE +=∴AE AB ⊥∴ 四棱锥的侧面积为 ∴ABCD E - 6222621212121++=⨯⨯+⨯⨯+⨯⨯+⨯⨯CD DE BE BC AB AE AD DE 19.(Ⅰ)=50×0.0010×100+150×0.0020×100+250×0.0030×100+-x 350×0.0025×100+450×0.0015×100=265.(Ⅱ)当日需求量不低于300公斤时,利润Y =(20-15)×300=1500元; 当日需求量不足300公斤时,利润Y =(20-15)x -(300-x )×3=8x -900元; 故Y ={8x -900,0≤x <300,1500,300≤x ≤500.)由Y ≥700得,200≤x ≤500, 所以P (Y ≥700)=P (200≤x ≤500)=0.0030×100+0.0025×100+0.0015×100 =0.7.20.解:(Ⅰ)由题意可得,1b =,,, 椭圆C 的标准方程为2214x y +=.c =2a =(Ⅱ)设000(,)(02)P x y x <≤,(0,1)A -,(0,1)B , 所以001PA y k x +=,直线PA 的方程为0011y y x x +=-, 同理得直线PB 的方程为0011y y x x -=+, 直线PA 与直线的交点为, 3x =003(1)(3,1)y M x +-直线PB 与直线的交点为,线段MN 的中点, 3x =⎪⎪⎭⎫⎝⎛+-1)1(3300x y N ,003(3,)y x所以圆的方程为. 22200033(3)((1y x y x x -+-=-令0y =,则, 因为220014x y +=,所以, 222020093(3)(1y x x x -+=-20136(3)4x x -=-因为这个圆与x 轴相交,所以该方程有两个不同的实数解, 则,又0,解得. 013604x ->02x <≤024(,2]13x ∈解法二:直线AP 的方程为111(0)y k x k =->,与椭圆2244x y +=联立得:2211(14)80k x k x +-=,121814P k x k =+,同理设BP 直线的方程为21y k x =+可得222814P k x k -=+,由121814k k +222814k k -=+,可得1241k k =-,所以,,MN 的中点为, 1(3,31)M k -2(3,31)N k +123()(3,2k k +所以MN 为直径的圆为. 22212123()3()2(3)()()22k k k k x y +---+-=0y =时,,所以, 22212123()3()2(3)()()22k k k k x +---+=212(62)(62)(3)4k k x ----=因为MN 为直径的圆与轴交于两点,所以,x ,E F 12(62)(62)04k k --->代入1241k k =-得:,所以,111(31)(43)04k k k --<11334k <<所以12111881144P k x k k k ==++在单增,在单减,所以.…12分11(,3213(,)2424(,2]13p x ∈21.解:(1)由题意,知,∴. ()()xxxg x af x e axe e =+=+()()'1xg x ax a e =++①若时,,在上恒成立,所以函数在上单调递增;0a =()'xg x e =()'0g x >R ()g x R ②若时,当时,,函数单调递增, 0a >1a x a+>-()'0g x >()g x 当时,,函数单调递减; 1a x a+<-()'0g x <()g x ③若时,当时,,函数单调递减; 0a <1a x a+>-()'0g x <()g x当时,,函数单调递增. 1a x a+<-()'0g x >()g x 综上,若时,在上单调递增;0a =()g x R 若时,函数在内单调递减,在区间内单调递增; 0a >()g x 1,a a +⎛⎫-∞- ⎪⎝⎭1,a a +⎛⎫-+∞ ⎪⎝⎭当时,函数在区间内单调递增,在区间内单调递减.0a <()g x 1,a a +⎛⎫-∞-⎪⎝⎭1,a a +⎛⎫-+∞ ⎪⎝⎭(2)由题可知,原命题等价于方程在上有解, 2x xe x =+[],1x m m ∈+由于,所以不是方程的解, 0x e >0x =所以原方程等价于,令, 210xe x --=()21x r x e x=--因为对于恒成立, ()'220xr x e x =+>()(),00,x ∈-∞+∞ 所以在和内单调递增. ()r x (),0-∞()0,+∞又,,,, ()130r e =-<()2220r e =->()311303r e -=-<()2120r e-=>所以直线与曲线的交点仅有两个, 2y x =+()y f x =且两交点的横坐标分别在区间和内, []1,2[]3,2--所以整数的所有值为,.m 3-122.(1)解:由得: 2sin 2cos (0)a a ρθθ=>2(sin )2cos a ρθρθ=∴曲线C 的直角坐标方程为:(a > 0)22y ax =由消去参数t 得直线l 的普通方程为24x y ⎧=-⎪⎪⎨⎪=-⎪⎩2y x =-(2)解:将直线l的参数方程代入中得:24x y ⎧=-⎪⎪⎨⎪=-⎪⎩22y ax = 6分2(4)8(4)0t a t a -+++=设M 、N 两点对应的参数分别为t 1、t 2,则有 8分1212)8(4)t t a t t a +=+=+,∵,∴ 2||||||PM PN MN ⋅=2212121212()()4=t t t t t t t t -=+-即,解得.或 28(4)40(4)a a +=+1a =4-=a 又因为时,,故舍去,所以. 4-=a 0<∆1a =23.(本小题满分10分)选修4—5;不等式选讲.解法一:【命题意图】本题旨在考查绝对值不等式的解法、分析法在证明不等式中的应用,考查考生的推理论证能力与运算求解能力。
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高二下学期开学测试(理科数学)一、选择题(共12小题,每题5分)1.已知集合A ={x|x<1},B ={x|3x <1},则( )A .A ∩B ={x|x<0}B .A ∪B =RC .A ∪B ={x|x>1}D .A ∩B =∅2.设复数z 满足(1+i)z =2i ,则|z|等于( )A .12B .22C . 2D .23.如图,正方形ABCD 内的图形来自中国古代的太极图,正方形内切圆中的黑色部分和白色部分关于正方形的中心成中心对称.在正方形内随机取一点,则此点取自黑色部分的概率是( )A .14B .π8C .12D .π44.设变量x ,y 满足约束条件0,20,12,y x y y x +-⎧≥--≤≥⎪⎨⎪⎩则目标函数2z x y =+的最小值为()A.2B.3C.4D.55.某几何体的三视图如图所示,则该几何体的体积为( )A.13π+B.23π+ C.123π+ D.223π+ 6.“1x >”是“12log (2)0x +<的”( )A.充要条件B.充分而不必要条件C.必要而不充分条件D.既不充分也不必要条件7.执行右侧的程序框图,如果输入的a =-1,则输出的S等于( )A .-4B .-3C .2D .38.已知F 1、F 2为双曲线的焦点,过F 2垂直于实轴的直线交双曲线于A 、B 两点,BF 1交y 轴于点C ,若AC ⊥BF 1,则双曲线的离心率为( )A .B .C .2D .29.若函数y =f(x)的图象上存在两点,使得函数的图象在这两点处的切线互相垂直,则称y =f(x)具有T 性质.下列函数中具有T 性质的是( )A .y =x 3B .y =lnxC .y =e xD .y =sinx10.已知正四棱锥S -ABCD 的侧棱长与底面边长都相等,E 是SB的中点,则AE ,SD 所成的角的余弦值为( )A .31B .32C .33 D .32 11.设O 为坐标原点,P 是以F 为焦点的抛物线y 2=2px(p>0)上任意一点,M 是线段PF 上的点,且|PM|=2|MF|,则直线OM 的斜率的最大值为( )A .1B .32C .33D .22 12.已知函数f(x)=x 2-2x +a (e x -1+e -x +1)有唯一零点,则a 等于( )A .-12B .13C .12D .1二、填空题(共4小题,每题5分)13.设向量=(m,1),=(1,2),且|+|2=||2+||2,则m =________.14.已知sin 31cos )6(=--ααπ,则cos (32πα+)= . 15.已知函数f(x)=x 3-2x +e x -1e x ,其中e 是自然对数的底数,若f(a -1)+f(2a 2)≤0,则实数a 的取值范围是________.16.已知椭圆错误!未找到引用源。
的中心为原点错误!未找到引用源。
,焦点在错误!未找到引用源。
轴上,错误!未找到引用源。
上的点与错误!未找到引用源。
的两个焦点构成的三角形面积的最大值为错误!未找到引用源。
,直线错误!未找到引用源。
交椭圆于错误!未找到引用源。
于错误!未找到引用源。
两点.设错误!未找到引用源。
为线段错误!未找到引用源。
的中点,若直线错误!未找到引用源。
的斜率等于错误!未找到引用源。
,则椭圆方程为 .三、解答题(本大题共6小题,共70分.)17.(10分)如图是我国2008年至2014年生活垃圾无害化处理量(单位:亿吨)的折线图:注:年份代码1-7分别对应年份2008-2014(1)由折线图看出,可用线性回归模型拟合y 与t 的关系,建立y 关于t 的回归方程(系数精确到0.01)(2)预测2018年我国生活垃圾无害化处理量.附注: 参考数据:i =9.32,i i y =40.17,=0.55,≈2.646. 参考公式:回归方程=+t 中斜率和截距最小二乘估计公式分别为==∑∑-=--n i in i i i t n tn y t 1221,=-.18.(12分)设数列{a n }满足a 1+3a 2+…+(2n -1)a n =2n .(1)求{a n }的通项公式;(2)求数列⎭⎬⎫⎩⎨⎧+12n a n 的前n 项和.19.(12分)△ABC 的内角A ,B ,C 的对边分别为a ,b ,c ,已知△ABC 的面积为Aa sin 32. (1)求sin Bsin C ;(2)若6cos Bcos C =1,a =3,求△ABC 的周长.20.(12分)在如图所示的五面体中,面ABCD 为直角梯形,∠BAD=∠ADC=,平面ADE ⊥平面ABCD ,EF=2DC=4AB=4,△ADE 是边长为2的正三角形.(1)证明:BE ⊥AC ;(2)求二面角A ﹣BC ﹣F 的余弦值.21.(12分)已知椭圆12222=+by a x (a >b >0)的离心率36=e ,过点A (0,﹣b )和B (a ,0)的直线与原点的距离为23. (1)求椭圆的方程. (2)已知定点E (﹣1,0),若直线y=kx+2(k ≠0)与椭圆交于C 、D 两点.问:是否存在k 的值,使以CD 为直径的圆过E 点?请说明理由.22.(12分)已知函数f (x )=ln x +ax 2+(2a +1)x .(1)讨论f (x )的单调性;(2)当a <0时,证明f (x )≤-34a -2.高二下学期开学考试答案(理科)一选择题:1-5 ACBBA 6-10 BDBDC 11,12 DC二填空题:13. -2 14.97 15.⎥⎦⎤⎢⎣⎡-21,1 16.1162522=+y x 17. 解:(1)(2)将2018年对应的t =11代入回归方程得y ^=0.92+0.10×11=2.02. 所以预测2018年我国生活垃圾无害化处理量将约为2.02亿吨. 18.解 (1)因为a 1+3a 2+…+(2n -1)a n =2n ,故当n ≥2时,a 1+3a 2+…+(2n -3)a n -1=2(n -1),两式相减,得(2n -1)a n =2,所以a n =22n -1(n ≥2). 又由题设可得a 1=2,满足上式,所以{a n }的通项公式为a n =22n -1. (2)记⎩⎨⎧⎭⎬⎫a n 2n +1的前n 项和为S n .由(1)知a n 2n +1=2n +n -=12n -1-12n +1, 则S n =11-13+13-15+…+12n -1-12n +1=2n 2n +1.19.解 (1)由题设得12ac sin B =a 23sin A ,即12c sin B =a 3sin A .由正弦定理,得12sin C sin B =sin A 3sin A ,故sin B sin C =23.(2)由题设及(1),得cos B cos C -sin B sin C =-12,即cos(B +C )=-12.所以B +C =2π3,故A =π3.由题意得12bc sin A =a 23sin A ,a =3,所以bc =8.由余弦定理,得b 2+c 2-bc =9,即(b +c )2-3bc =9.由bc =8,得b +c =33.故△ABC 的周长为3+33.20.21.解:(1)∵直线过点A(0,﹣b)和B(a,0),∴直线L:与坐标原点的距离为,∴=.①∵椭圆的离心率e=,∴.②由①得4a2b2=3a2+3b2,即4a2(a2﹣c2)=3a2+3(a2﹣c2)③由②③得a2=3,c2=2∴b2=a2﹣c2=1∴所求椭圆的方程是+y2=1(2)直线y=kx+2代入椭圆方程,消去y可得:(1+3k2)x2+12kx+9=0 ∴△=36k2﹣36>0,∴k>1或k<﹣1设C(x1,y1),D(x2,y2),则有x1+x2=,x1x2=∵=(x1+1,y1),=(x2+1,y2),且以CD为圆心的圆过点E,∴EC⊥ED∴(x1+1)(x2+1)+y1y2=0∴(1+k2)x1x2+(2k+1)(x1+x2)+5=0∴(1+k2)×+(2k+1)×+5=0,解得k=>1,∴当k =时以CD 为直径的圆过定点E22..解 (1)解 f (x )的定义域为(0,+∞),f ′(x )=1x +2ax +2a +1=(x +1)(2ax +1)x. 若a ≥0,则当x ∈(0,+∞)时,f ′(x )>0,故f (x )在(0,+∞)上单调递增.若a <0,则当x ∈⎝ ⎛⎭⎪⎫0,-12a 时,f ′(x )>0; 当x ∈⎝ ⎛⎭⎪⎫-12a ,+∞时,f ′(x )<0. 故f (x )在⎝ ⎛⎭⎪⎫0,-12a 上单调递增,在⎝ ⎛⎭⎪⎫-12a ,+∞上单调递减. (2)证明 由(1)知,当a <0时,f (x )在x =-12a 处取得最大值,最大值为f ⎝ ⎛⎭⎪⎫-12a =ln ⎝ ⎛⎭⎪⎫-12a -1-14a , 所以f (x )≤-34a -2等价于ln ⎝ ⎛⎭⎪⎫-12a -1-14a ≤-34a -2, 即ln ⎝ ⎛⎭⎪⎫-12a +12a +1≤0. 设g (x )=ln x -x +1,则g ′(x )=1x -1.当x ∈(0,1)时,g ′(x )>0;当x ∈(1,+∞)时,g ′(x )<0.所以g (x )在(0,1)上单调递增,在(1,+∞)上单调递减. 故当x =1时,g (x )取得最大值,最大值为g (1)=0. 所以当x >0时,g (x )≤0.从而当a <0时,ln ⎝ ⎛⎭⎪⎫-12a +12a +1≤0, 即f (x )≤-34a -2.。