【配套K12】[学习]内蒙古科左后旗甘旗第二中学2018-2019学年高二数学上学期期中试题 文
- 格式:doc
- 大小:326.00 KB
- 文档页数:7
甘二中2018-2019学年度上学期期中考试高二历史试题本试卷分为第Ⅰ卷(选择题)和第Ⅱ卷(非选择题)两部分,共100分,考试时间90分钟。
注意:1.答卷前,将姓名、考号填在答题卡的密封线内。
2.答案必须写在答题卡上,在试题卷上答题无效。
第Ⅰ卷一、选择题(每小题2分,共60分)1.某年春节联欢晚会上出现这样一副对联:“百善孝为先,常回家看看;千秋民作本,多俯首听听。
”与此下联思想吻合的是( )A.非攻,尚贤 B.存天理,灭人欲C.罢黜百家,独尊儒术 D.民贵君轻2.(2018·济南高二检测)有学者研究《论语》后认为,孔子很少从群体的角度来看仁。
该学者进而认为战国时有一位思想家的学说弥补了孔子很少讨论的“群体的仁”。
这位思想家最有可能是( )A.老子B.墨子C.荀子D.韩非子3.南宋理学集大成者朱熹说:“宇宙之间一理而已。
天得之而为天,地得之而为地,凡生于天地之间者,又各得之以为性;其张之为三纲,其纪之为五常,盖皆此理之流行,无所适而不在。
”其说要表达的核心意思是( )A.“理”是世界构成的本原 B.“三纲五常”是先天存在的衡量标准C.“理”在人身上就是人性 D.“理”在社会实践中就是“三纲五常”4.“无农则无食,无工则无用,无商则不给,三者缺一,则人莫能生也。
”中国古代持此观点的思想家是( )A.孔子B.董仲舒C.朱熹D.黄宗羲5.“博学于文,行己有耻,自一身以至天下国家,皆学之事也。
”这说明顾炎武主张( ) A.学以致用B.反对封建专制C.男女平等D.反对宋明理学6.随着社会的变迁,儒家文化自身也在不断地充实和发展,下列各项能够体现儒家思想与时俱进精神内涵的是( )①汉代董仲舒将“春秋大一统”融入儒家思想②宋代儒学家将儒学发展到理学阶段③明清时期的儒学家将儒学神圣化④当今为建立和谐社会充分发掘儒家思想的深层内涵A.①② B.①④C.①②④ D.①②③④7.历史现象的发生是由多种因素综合决定的。
甘二中2018-2019学年度上学期期中考试高二化学试题本试卷分为第Ⅰ卷(选择题)和第Ⅱ卷(非选择题)两部分,共100分考试时间90分钟。
注意:1.答卷前,将姓名、考号填在答题卡的密封线内。
2.答案必须写在答题卡上,在试题卷上答题无效。
I卷(选择题54分)一、选择题(本题包括18小题,每小题只有1个选项符合题意,每小题3分,共54分)1、下列叙述中正确的是()A.化学反应一定有物质变化,不一定有能量变化B.化合反应一定是放热反应C.放热反应不需要加热就一定能发生D.吸热反应不加热也可能发生2、下列反应既属于氧化还原反应,又属于吸热反应的是( )A.锌粒和稀硫酸反应B.灼热的木炭与CO2反应C.甲烷在空气中燃烧的反应D. Ba(OH)2·8H2O晶体与NH4Cl晶体的反应3、能源问题是人类生存和社会发展的重要问题,下列关于能源问题的说法正确的是()A. 氢气是具有热值高、无污染等优点的燃料B. 采用新技术开采煤、石油和天然气,以满足经济发展的需要C. 煤燃烧是化学能只转化为热能的过程D. 风能是太阳能的一种转换形式,所以风能属于二次能源4、在下列各说法中,正确的是( )A.ΔH>0表示放热反应,ΔH<0表示吸热反应B.热化学方程式中的化学计量数只表示物质的量,可以是分数C.1 mol H2SO4与1 mol Ba(OH)2反应生成BaSO4沉淀时放出的热叫做中和热D.1 mol H2与0.5 mol O2反应放出的热就是H2的燃烧热5、25 ℃、101 kPa下,2 g氢气燃烧生成液态水,放出285.8 kJ热量,表示该反应的热化学方程式正确的是()A. 2H2(g)+O2(g)====2H2O(1)ΔH=﹣285.8 kJ·B. 2H2(g)+O2(g)====2H2O(1)ΔH=+571.6 kJ·C. 2H2(g)+O2(g)====2H2O(g)ΔH=﹣571.6 kJ·D. H2(g)+O2(g)====H2O(1)ΔH=﹣285.8 kJ·6、下列说法错误的是( )①化学反应除了生成新物质外,还伴随着能量的变化②放热反应不需要加热就能发生③需要加热才能发生的反应都是吸热反应④化学反应放热还是吸热,决定于生成物具有的总能量和反应物具有的总能量的大小⑤反应物的总能量高于生成物的总能量时,发生放热反应⑥反应物的总能量低于生成物的总能量时,发生吸热反应⑦化学反应中的能量变化都表现为热量的变化A.①②③④⑤⑥B.②③C.②③⑦D.①④⑤⑥7、学习化学反应速率时,我们可以用物理上的速率知识来大胆类推学习,二者在许多方面都是极其相似的.下列关于化学反应速率的说法中,不正确的是( )A.化学反应速率是衡量化学反应进行快慢程度的物理量B.化学反应速率通常用单位时间内生成或消耗某物质的质量的多少来表示C.在同一个反应中,用各物质表示的反应速率之比等于其化学方程式中的化学计量数之比D.化学反应速率的常用单位有mol•L-1•s-1和mol/(L•min)8、一定温度下的恒容容器中,下列哪些物理量不再发生变化时,表明反应A(g)+2B(g)C(g)+D(g)已达到化学平衡状态()①混合气体的压强②混合气体的密度③B的物质的量浓度④混合气体的总物质的量⑤混合气体的平均相对分子质量⑥混合气体的总质量⑦混合气体的总体积A.①②③④⑤⑥⑦ B.①③④⑤C.①②③④⑤⑦ D.①③④⑤⑦9、在一定温度下,反应A 2(g)+B2(g)2AB(g)达到平衡的标志是(N A代表阿伏加德罗常数)( )A.单位时间生成N A个A2同时生成N A个ABB.容器内的总压不随时间变化C.单位时间生成2N A个AB同时生成N A个B2D.单位时间生成N A个A2同时生成N A个B210、下列有关化学反应速率的说法中,正确的是( )A.100 mL 2 mol/L的盐酸与锌反应时,加入适量的氯化钠溶液,生成氢气的速率不变B.用铁片和稀硫酸反应制取氢气,改用铁片和浓硫酸可以加快产生氢气的速率C.在做草酸与高锰酸钾的反应实验时,加入少量草酸晶体可加快溶液褪色速率D.在密闭容器中发生反应:C(s)+H 2O(g) CO(g)+H2(g),增加C的量可增大该反应的速率11、在一定温度下,将气体X和Y各3 mol充入10 L恒容密闭容器中,发生反应:3X(g)+Y(g)2Z(g)+ W(g)。
甘二中2018-2019学年度上学期期中考试高二英语试题本试卷分为第Ⅰ卷(选择题)和第Ⅱ卷(非选择题)两部分,共150分,考试工夫120分钟。
留意:1.答卷前,将姓名、考号填在答题卡的密封线内。
2.答案必须写在答题卡上,在试题卷上答题有效。
第二部分浏览理解(共两节,满分40分)第一节(共15小题;每小题2分,满分30分)浏览以下短文,从每题所给的四个选项(A、B、C和D)中,选出最好选项。
AAll over the world mothers and fathers teach their children manners.Other children may have mann ers that are not like yours.There are all kinds of manners.Many years ago, children who had good manners were seen and not heard.They kept quite quiet if grownups were talking.Today, wellmannered childr en have more freedom.Sometimes good manners in one place are bad manners in other places.Suppose you are a visitor in the land of Mongolia.Some friends ask you to eat with them.What kind of manners do they want you to have? They want you to give a loud “burp” after you finish eating.Burping would show that you like their food.In some countries, if you give a loud burp, you are told to say “excuse me, please.”In many places people like to eat together.But in some parts of Polynesia,it is bad manners to be seen eating all together.People show good manners by turning their backs on others while they eat.What are manners like in an East African town? The people try not to see you.They are being polite.You may see a friend.He may not see you at all.If you are polite, you will sit down beside him.You will wait until he finishes what he is doing.Then he will talk to you.Suppose you visit a friend in Arabia.You should walk behind the other tents until you come to his tent.If you pass in front of the other tents, you will be asked into each one.The people will ask you to eat with them.And it is bad manners if you say no.Manners are different all over the world.But it is good to know that all manners begin in the same way that people need ways to show that they want to be friends.21.People turn their backs on others while they eat in ________.A.MongoliaB.an East African townC.some parts of PolynesiaD.Arabia22.In an East African town, the people try not to see you.This is because ________.A.they are busy doing thingsB.they don’t want to talk with youC.it is good mannersD.they are waiting for you to talk with them23.Which of the following statements is TRUE?A.In Mongolia, you should say “excuse me” when you give a burp after dinner.B.Children with good manners are quiet.C.You should not walk behind the tents in Arabia.D.Manners are different all over the world.24.Sometimes good manners in one place are bad manners in other places.Which should be the supporting paragraph(s) to the idea?A.the fourth one B.the fifth one C.the sixth oneD.all of aboveBBody language or,as it is also known,nonverbal communication,is about all the things that people say and do without using words.Research suggeststhat more than 70% of communication occurs without people having to say a single word.Like language,the way we communicate nonverbally varies across cultures.But,unlike language,it can be very difficult to find out what the nonverbal rules are.It’s all very well known that there are differences in the ways that cultures work,but what can you do to try to prepare yourself for living and surviving in another culture?I think you’ve got two things to think about.I personally don’t fully accept the idea of “When in Rome,do as the Romans do”.I don’t thin k people expect you to completely adopt all of the things that they do.What I think that people would like is that you agree and understand it and that you do your best.One of the things you can do is actually explain to the other culture,saying,“Well,you know,actually we don’t normally kiss in my culture,so it’s a bit uncomfortable.” But then do your best,so it’s a learning process.Well,kissing is just one of many different ways of interaction that you need to know.You can get into difficult or embarrassing or even worse situations if you don’t know it.Eye contact,tone of voice,how close you stand,any touching,how many times you kiss,a long handshake,a short handshake it can go on and on.So I think,yes,you do need to get these correct and you need to have good observation skills.25.Body language is ________.A.not necessary B.not popularC.not worthless D.not involving words26.From the passage,it can be inferred ________.A.only grownups have body languageB.body language can be understood by all the people all the timeC.only the same body language has the same meaning all over the world D.body languages are not the same because their cultures are different27.The passage is mainly to tell readers ________.A.body language is importantB.to find out the rules of body languageC.when in Rome,do as the Romans doD.to learn good observation skills28.According to the author,we know that ________.A.to learn body language,you should watch people and observe what they doB.to learn a language,you should prepare yourself for living in another cultureC.when you learn a language,you must know the differences of different culturesD.to know body language,you should adopt all that other cultures doCThe Roar of NatureTsunamiThe 9.2 magnitude earthquake which caused the tsunami in the Indian Ocean on Boxing Day last year occurred at 7∶58 a.m.,95 miles off the west coast of Aceh,Indonesia.Eighteen minutes later,10metre high waves crashed ashore along a 500 milelong stretch of Aceh.Two hours later the tsunami hit Thailand and Malaysia and then Burma,Bangladesh,India,the Maldives,Sri Lanka,Kenya and Somalia.The final death toll is thought to be about 280,000,with tens of thousands more listed as missing.More than 1.8 million people lost their homes.What Is Tsunami?A tsunami is a chain of fast moving waves caused by a sudden strong quake in the ocean.They can be caused by earthquakes,volcanic eruptions,or even the collision of meteorites(陨星).Tsunamis are also incorrectly known as tidal waves,but unlike tidal waves they are not caused by changes in the tides.They are also most common around the edge of the Pacific,where more thanhalf of the world’s volcanoes are found.These seismic surges c an attack coastlines,often with little or no warning.Rocks weighing as much as 20 metric tonnes have been pulled from sea walls and carried 180m inland.Wave PowerA tsunami can have a wavelength in excess of 100km and there may be an hour between them.They travel at great speeds across an ocean with hardly any energy losses and are barely noticeable out at sea.Over the deep Pacific Ocean,a tsunami travels at about 800Kph.If an earthquake happened in Los Angeles,a tsuna mi could hit Tokyo quicker than you could fly between the cities by jet.Strange Animal BehavioursTen days before giant waves slammed into Sri Lanka and India coastlines,wild and domestic animals seemed to know what was about to happen and fled to safety.Elephants screamed and ran for higher ground.Dogs refused to go outdoors.Zoo animals rushed into their shelters and could not be enticed(勾引) to come back out.29.What does the first part of the passage mainly tell us?A.The great speed of a tsunami.B.The serious destruction caused by the great power of a tsunami.C.The countries which were struck by a tsunami.D.The number of deaths caused by a tsunami.30.All the following can cause a tsunami EXCEPT ________.A.changes of the tidesB.volcanic eruptionsC.collision of meteoritesD.magnitude earthquakes31.Which of the following is a characteristic of a tsunami?A.Having a lot of small waves linked together.B.The waves of a tsunami can be found in the distance.C.The power of the waves becomes stronger and stronger as a tsunami travels.D.The waves of a tsunami travel extremely fast.32.What can we learn from the strange animal behaviours?A.Animals are cleverer than human beings.B.More animals should be raised to prevent a tsunami.C.They might be used to predict a tsunami.D.Animals in the zoos should be watched carefully.DAs any homemaker who ha s tried to keep order at the dinner table knows,there is far more to family meal than food.Sociologist Michael Lewis has been studying 50 families to find out just how much more.Lewis and his coworkers carried out their study by videotaping(录像)the families while they ate ordinary meals in their own homes.They found that parents with small families talk actively with each other and their children.But as the number of children gets larger,conversation gives way to the parents’ efforts to control the loud n oise they make.That can have an important effect on the children.“In general,the more questionasking the parents do,the higher the children’s IQ scores,”Lewis says.“And the more children there are,the less questionasking there is.”The study also provides an explanation for why middle children often seem to have a harder time in life than their siblings(兄弟姐妹).Lewis found that in families with three or four children,dinner conversation is likely to center on the oldest child,who has the most to talk about,and the youngest,who needs the most attention.“Middle children are invisible,”says Lewis.“When you see someone get up from the table and walk around during dinner,chances are it’s the middle child.”There is,however,one thing that stops all conversation an d prevents anyone from having attention.“When the TV is on,”Lewis says,“dinner is a nonevent.”33.The writer’s purpose in writing the text is to ________.A.show the relationship between parents and childrenB.teach parents ways to keep order at the dinner tableC.report on the findings of a studyD.give information about family problems34.Parents with large families ask fewer questions at dinner because ________.A.they are busy serving food to their childrenB.they are busy keeping order at the dinner tableC.they have to pay more attention to younger childrenD.they are tired out having prepared food for the whole family35.By saying “Middle children are invisible” in Paragraph 3,Lewis means that middle children ________.A.have to help their parents to serve dinnerB.get the least attention from the familyC.are often kept away from the dinner tableD.find it hard to keep up with other children第二节(共5小题;每小题2分,满分10分)根据短文内容,从短文后的选项当选出能填入空白处的最好选项。
甘二中2018-2019学年度上学期期中考试高二英语试题本试卷分为第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:1.答卷前,将姓名、考号填在答题卡的密封线内。
2.答案必须写在答题卡上,在试题卷上答题无效。
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。
AAll over the world mothers and fathers teach their children manners.Other children may have mann ers that are not like yours.There are all kinds of manners.Many years ago, children who had good manners were seen and not heard.They kept quite quiet if grownups were talking.Today, wellmannered childr en have more freedom.Sometimes good manners in one place are bad manners in other places.Suppose you are a visitor in the land of Mongolia.Some friends ask you to eat with them.What kind of manners do they want you to have? They want you to give a loud “burp” after you finish eating.Burping would show that you like their food.In some countries, if you give a loud burp, you are told to say “excuse me, please.”In many places people like to eat together.But in some parts of Polynesia,it is bad manners to be seen eating all together.People show good manners by turning their backs on others while they eat.What are manners like in an East African town? The people try not to see you.They are being polite.You may see a friend.He may not see you at all.If you are polite, you will sit down beside him.You will wait until he finishes what he is doing.Then he will talk to you.Suppose you visit a friend in Arabia.You should walk behind the other tents until you come to his tent.If you pass in front of the other tents, you will be asked into each one.The people will ask you to eat with them.And it is bad manners if you say no.Manners are different all over the world.But it is good to know that all manners begin in the same way that people need ways to show that they want to be friends.21.People turn their backs on others while they eat in ________.A.MongoliaB.an East African townC.some parts of PolynesiaD.Arabia22.In an East African town, the people try not to see you.This is because ________.A.they are busy doing thingsB.they don’t want to talk with youC.it is good mannersD.they are waiting for you to talk with them23.Which of the following statements is TRUE?A.In Mongolia, you should say “excuse me” when you give a burp after dinner.B.Children with good manners are quiet.C.You should not walk behind the tents in Arabia.D.Manners are different all over the world.24.Sometimes good manners in one place are bad manners in other places.Which should be the supporting paragraph(s) to the idea?A.the fourth one B.the fifth one C.the sixth oneD.all of aboveBBody language or,as it is also known,nonverbal communication,is about all the things that people say and do without using words.Research suggests that more than 70% of communication occurs without people having to say a single word.Like language,the way we communicate nonverbally varies across cultures.But,unlike language,it can be very difficult to find out what the nonverbal rules are.It’s all very well known that there are differences in the ways that cultures work,but what can you do to try to prepare yourself for living and surviving in another culture?I think you’ve got two things to think about.I personally don’t fully accept the idea of “When in Rome,do as the Romans do”.I don’t think people expect you to completely adopt all of the things that they do.What I think that people would like is that you agree and understand it and that you do your best.One of the things you can do is actually explain to the other culture,saying,“Well,you know,actually we don’t normally kiss in my culture,so it’s a bit uncomfortable.” But then do your best,so it’s a learning process.Well,kissing is just one of many different ways of interaction that you need to know.You can get into difficult or embarrassing or even worse situations if you don’t know it.Eye contact,tone of voice,how close you stand,any touching,how many times you kiss,a long handshake,a short handshake it can go on and on.So I think,yes,you do need to get these correct and you need to have good observation skills.25.Body language is ________.A.not necessary B.not popularC.not worthless D.not involving words26.From the passage,it can be inferred ________.A.only grownups have body languageB.body language can be understood by all the people all the timeC.only the same body language has the same meaning all over the worldD.body languages are not the same because their cultures are different27.The passage is mainly to tell readers ________.A.body language is importantB.to find out the rules of body languageC.when in Rome,do as the Romans doD.to learn good observation skills28.According to the author,we know that ________.A.to learn body language,you should watch people and observe what they do B.to learn a language,you should prepare yourself for living in another culture C.when you learn a language,you must know the differences of different cultures D.to know body language,you should adopt all that other cultures doCThe Roar of NatureTsunamiThe 9.2 magnitude earthquake which caused the tsunami in the Indian Ocean on Boxing Day last year occurred at 7∶58 a.m.,95 miles off the west coast of Aceh,Indonesia.Eighteen minutes later,10metre high waves crashed ashore along a 500 milelong stretch of Aceh.Two hours later the tsunami hit Thailand and Malaysia and then Burma,Bangladesh,India,the Maldives,Sri Lanka,Kenya and Somalia.The final death toll is thought to be about 280,000,with tens of thousands more listed as missing.More than 1.8 million people lost their homes.What Is Tsunami?A tsunami is a chain of fast moving waves caused by a sudden strong quake in the ocean.They can be caused by earthquakes,volcanic eruptions,or even the collision of meteorites(陨星).Tsunamis are also incorrectly known as tidal waves,but unlike tidal waves they are not caused by changes in the tides.They are also most common around the edge of the Pacific,where more than half of the world’s volcanoes are found.These seismic surges c an attack coastlines,often with little or no warning.Rocks weighing as much as 20 metric tonnes have been pulled from sea walls and carried 180m inland.Wave PowerA tsunami can have a wavelength in excess of 100km and there may be an hour between them.They travel at great speeds across an ocean with hardly any energy losses and are barely noticeable out at sea.Over the deep Pacific Ocean,a tsunami travels at about 800Kph.If an earthquake happened in Los Angeles,a tsuna mi could hit Tokyo quicker than you could fly between the cities by jet.Strange Animal BehavioursTen days before giant waves slammed into Sri Lanka and India coastlines,wild and domestic animals seemed to know what was about to happen and fled to safety.Elephants screamed and ran for higher ground.Dogs refused to go outdoors.Zoo animals rushed into their shelters and could not be enticed(引诱) to come back out.29.What does the first part of the passage mainly tell us?A.The great speed of a tsunami.B.The serious destruction caused by the great power of a tsunami.C.The countries which were struck by a tsunami.D.The number of deaths caused by a tsunami.30.All the following can cause a tsunami EXCEPT ________.A.changes of the tidesB.volcanic eruptionsC.collision of meteoritesD.magnitu de earthquakes31.Which of the following is a characteristic of a tsunami?A.Having a lot of small waves linked together.B.The waves of a tsunami can be found in the distance.C.The power of the waves becomes stronger and stronger as a tsunami travels.D.The waves of a tsunami travel extremely fast.32.What can we learn from the strange animal behaviours?A.Animals are cleverer than human beings.B.More animals should be raised to prevent a tsunami.C.They might be used to predict a tsunami.D.Animals in the zoos should be watched carefully.DAs any homemaker who ha s tried to keep order at the dinner table knows,there is far more to family meal than food.Sociologist Michael Lewis has been studying 50 families to find out just how much more.Lewis and his coworkers carried out their study by videotaping(录像)the families while they ate ordinary meals in their own homes.They found that parents with small families talk actively with each other and their children.But as the number of children gets larger,conversation gives way to the parents’ efforts to control the loud noise they make.That can have an important e ffect on the children.“In general,the more questionasking the parents do,the higher the children’s IQ scores,”Lewis says.“And the more children there are,the less questionasking there is.”The study also provides an explanation for why middle children often seem to have a harder time in life than their siblings(兄弟姐妹).Lewis found that in families with three or four children,dinner conversation is likely to center on the oldest child,who has the most to talk about,and the youngest,who needs the most attent ion.“Middle children are invisible,”says Lewis.“When you see someone get up from the table and walk around during dinner,chances are it’s the middle child.”There is,however,one thing that stops all conversation and prevents anyone from having attention.“Wh en the TV is on,”Lewis says,“dinner is a nonevent.”33.The writer’s purpose in writing the text is to ________.A.show the relationship between parents and childrenB.teach parents ways to keep order at the dinner tableC.report on the findings of a studyD.give information about family problems34.Parents with large families ask fewer questions at dinner because ________.A.they are busy serving food to their childrenB.they are busy keeping order at the dinner tableC.they have to pay more attention to younger childrenD.they are tired out having prepared food for the whole family35.By saying “Middle children are invisible” in Paragraph 3,Lewis means that middle children ________.A.have to help their parents to serve dinnerB.get the least attention from the familyC.are often kept away from the dinner tableD.find it hard to keep up with other children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。
甘二中2018-2019学年度上学期期中考试高二历史试题本试卷分为第Ⅰ卷(选择题)和第Ⅱ卷(非选择题)两部分,共100分,考试时间90分钟。
注意:1.答卷前,将姓名、考号填在答题卡的密封线内。
2.答案必须写在答题卡上,在试题卷上答题无效。
第Ⅰ卷一、选择题(每小题2分,共60分)1.某年春节联欢晚会上出现这样一副对联:“百善孝为先,常回家看看;千秋民作本,多俯首听听。
”与此下联思想吻合的是A. 非攻,尚贤B. 存天理,灭人欲C. 罢黜百家,独尊儒术D. 民贵君轻【答案】D【解析】根据材料信息,结合所学知识可知下联思想是民本思想,选D也是民本思想,是符合题意的,正确;选项A不是民本思想,不符合题意,排除;选项B也不是民本思想,不符合题意,排除;选项C也不是民本思想,不符合题意,排除;故本题选D。
2.有学者研究《论语》后认为,孔子很少从群体的角度来看仁。
该学者进而认为战国时有一位思想家的学说弥补了孔子很少讨论的“群体的仁”。
这位思想家最有可能是A. 老子B. 墨子C. 荀子D. 韩非子【答案】B【解析】试题分析:本题主要考查学生正确运用所学知识解决问题的能力。
老子主张“无为而治”,希望回到小国寡民的社会,他的学说不涉及仁,故A项错误;墨子代表小生产者的利益,他所提倡的“兼爱”思想体现了“群体的仁”,故B项正确;荀子主张礼法并用,提倡仁义、王道,但未从群体的角度看待仁,故C项错误;韩非子主张以法治国,不涉及仁,故D项错误。
考点:中国传统文化主流思想的演变·百家争鸣·墨子3.南宋理学集大成者朱熹说:“宇宙之间一理而已。
天得之而为天,地得之而为地,凡生于天地之间者,又各得之以为性;其张之为三纲,其纪之为五常,盖皆此理之流行,无所适而不在。
”其说要表达的核心意思是A. “理”是世界构成的本原B. 三纲五常是先天存在的衡量标准C. “理”在人身上就是人性D. “理”在社会实践中就是三纲五常【答案】D【解析】试题分析:本题考查学生分析和概括材料信息的能力。
甘二中2018-2019学年度上学期期中考试高二语文试题本试卷分为第Ⅰ卷和第Ⅱ卷两部分,共150分,考试时间150分钟.注意:1.答卷前,将姓名、考号填在答题卡的密封线内。
2.答案必须写在答题卡上,在试题卷上答题无效。
第Ⅰ卷阅读题一、现代文阅读(36分)(一)论述类文本阅读(本题共3小题,9分)阅读下面的文字,完成1-—3题。
论中国古代家庭教育思想王建军因血缘关系而萌发的亲情是家庭成员交往的自然基础和人伦准则,从亲亲敬长的血缘亲情中提升出孝悌仁爱等道德,这是古代家庭教育乃至道德教育具有生命力的根源所在.孔子说,孝悌之德的培养并非停留于孝顺之举的行动层面,而应追求尊老敬长情感的升华。
因此从儿童本身的生活体验出发来培养其尊老敬长的情感,最为自然最为贴切。
家庭教育以此为基本出发点,既符合人的自然本性,又切合儿童的生活和情感的体验.古人对孝悌内涵的界定并未停留在情感的层面,而是力图将这一情感导入尊卑贵贱的家族制度的轨道,将对家长的孝顺之情转化成对宗法等级制度的服从。
在宗法制度的影响及古代思想家们的包装下,这种血缘关系的不同却成为家庭成员内部主从、尊卑的客观基础,成为家庭成员之间贵贱亲疏的理论依据。
这种血缘宗法制度给古代家庭教育贴上了等级制度的标签,遵守和服从这一文化秩序成为古代家庭教育的根本要求,古代家庭中的儿童备受其害。
可这压抑儿童天性有损家庭和睦的家庭教育主张却能在古代社会大行其道,历久不衰,其根本原因是古代家庭教育所倡行的孝悌之德适应了封建社会的发展需要。
孔子曾说过:“夫孝,始于事亲,中于事君,终于立身。
”萌发于血缘之情的孝悌之德不仅具有“事亲”的效用,而且具有“事君”的效用,这是由封建社会的政治结构所决定。
这样,培养孝悌之德不仅成为“齐家”的需要,而且成为“国治"的基本素质要求.正由于古代家庭结构与社会政治结构的这一同构性,将孝悌之德政治化和制度化便成为封建政治家们孜孜以求的目标。
身居这一文化环境中,任何家庭都难以摆脱这一教育模式的张力。
小初高教育精品资料 甘二中2018-2019学年度上学期期中考试 高二语文试题 本试卷分为第Ⅰ卷和第Ⅱ卷两部分,共150分,考试时间150分钟。
注意:1.答卷前,将姓名、考号填在答题卡的密封线内。
2.答案必须写在答题卡上,在试题卷上答题无效。
第Ⅰ卷 阅读题 一、现代文阅读(36分) (一)论述类文本阅读(本题共3小题,9分) 阅读下面的文字,完成1--3题。
论中国古代家庭教育思想 王建军 因血缘关系而萌发的亲情是家庭成员交往的自然基础和人伦准则,从亲亲敬长的血缘亲情中提升出孝悌仁爱等道德,这是古代家庭教育乃至道德教育具有生命力的根源所在。
孔子说,孝悌之德的培养并非停留于孝顺之举的行动层面,而应追求尊老敬长情感的升华。
因此从儿童本身的生活体验出发来培养其尊老敬长的情感,最为自然最为贴切。
家庭教育以此为基本出发点,既符合人的自然本性,又切合儿童的生活和情感的体验。
古人对孝悌内涵的界定并未停留在情感的层面,而是力图将这一情感导入尊卑贵贱的家族制度的轨道,将对家长的孝顺之情转化成对宗法等级制度的服从。
在宗法制度的影响及古代思想家们的包装下,这种血缘关系的不同却成为家庭成员内部主从、尊卑的客观基础,成为家庭成员之间贵贱亲疏的理论依据。
这种血缘宗法制度给古代家庭教育贴上了等级制度的标签,遵守和服从这一文化秩序成为古代家庭教育的根本要求,古代家庭中的儿童备受其害。
可这压抑儿童天性有损家庭和睦的家庭教育主张却能在古代社会大行其道,历久不衰,其根本原因是古代家庭教育所倡行的孝悌之德适应了封建社会的发展需要。
孔子曾说过:“夫孝,始于事亲,中于事君,终于立身。
”萌发于血缘之情的孝悌之德不仅具有“事亲”的效用,而且具有“事君”的效用,这是由封建社会的政治结构所决定。
这样,培养孝悌之德不仅成为“齐家”的需要,而且成为“国治”的基本素质要求。
正由于古代家庭结构与社会政治结构的这一同构性,将孝悌之德政治化和制度化便成为封建政治家们孜孜以求的目标。
甘二中 2018-2019 学年度上学期期中考试高二化学试题本试卷分为第Ⅰ卷(选择题)和第Ⅱ卷(非选择题)两部分,共100 分考试时间90 分钟。
注意: 1.答卷前,将姓名、考号填在答题卡的密封线内。
2.答案一定写在答题卡上,在试题卷上答题无效。
I 卷(选择题54 分)一、选择题(此题包含18 小题,每题只有 1 个选项切合题意,每题 3 分,共 54 分)1、以下表达中正确的选项是()A.化学反响必定有物质变化,不必定有能量变化B.化合反响必定是放热反响C.放热反响不需要加热就必定能发生D.吸热反响不加热也可能发生2、以下反响既属于氧化复原反响,又属于吸热反响的是()A.锌粒和稀硫酸反响B.灼热的木炭与CO2反响C.甲烷在空气中焚烧的反响D. Ba(OH) 2·8H2O晶体与 NH4Cl 晶体的反响3、能源问题是人类生计和社会发展的重要问题,以下对于能源问题的说法正确的选项是()A.氢气是拥有热值高、无污染等长处的燃料B.采纳新技术开采煤、石油和天然气,以知足经济发展的需要C.煤焚烧是化学能只转变成热能的过程D.风能是太阳能的一种变换形式,因此风能属于二次能源4、在以下各说法中, 正确的选项是()A.H>0表示放热反响, H<0表示吸热反响B.热化学方程式中的化学计量数只表示物质的量, 能够是分数C.1 mol H 2SO 与 1 mol Ba(OH)2反响生成 BaSO积淀时放出的热叫做中和热44D.1 mol H2与 0.5 mol O2反响放出的热就是H 的焚烧热25、 25 ℃、 101 kPa 下, 2 g 氢气焚烧生成液态水,放出285.8 kJ 热量,表示该反响的热化学方程式正确的选项是()A. 2H2(g) +O2( g)====2H O(1)=﹣285.8 kJ ·HB. 2H2(g) +O2( g) ====2HO(1)=+571.6 kJ ·HC. 2H2(g) +O2( g) ====2HO(g)H=﹣571.6 kJ·D. H 2( g) + O2( g) ====HO( 1)=﹣285.8 kJ ·2H6、以下说法错误的选项是()①化学反响除了生成新物质外,还陪伴着能量的变化②放热反响不需要加热就能发生③需要加热才能发生的反响都是吸热反响④化学反响放热仍是吸热,决定于生成物拥有的总能量和反响物拥有的总能量的大小⑤反响物的总能量高于生成物的总能量时,发生放热反响⑥反响物的总能量低于生成物的总能量时,发生吸热反响⑦化学反响中的能量变化都表现为热量的变化A.①②③④⑤⑥B.②③C.②③⑦D.①④⑤⑥7、学习化学反响速率时,我们能够用物理上的速率知识来勇敢类推学习,二者在很多方面都是极其相像的.以下对于化学反响速率的说法中,不正确的选项是()A.化学反响速率是权衡化学反响进行快慢程度的物理量B.化学反响速率往常用单位时间内生成或耗费某物质的质量的多少来表示C.在同一个反响中,用各物质表示的反响速率之比等于其化学方程式中的化学计量数之比D.化学反响速率的常用单位有mol?L -1 ?s-1和 mol/(L?min)8、必定温度下的恒容容器中,以下哪些物理量不再发生变化时,表示反响A(g)+2B(g)C(g)+D(g) 已达到化学均衡状态()①混淆气体的压强②混淆气体的密度③ B的物质的量浓度④混淆气体的总物质的量⑤混淆气体的均匀相对分子质量⑥混淆气体的总质量⑦混淆气体的整体积A.①②③④⑤⑥⑦B.①③④⑤C.①②③④⑤⑦D.①③④⑤⑦9、在必定温度下 , 反响 A2(g)+B 2(g)2AB(g) 达到均衡的标记是( N A代表阿伏加德罗常数)()A. 单位时间生成 N A 个 A 2 同时生成 N A 个 ABB. 容器内的总压不随时间变化C.单位时间生成 2N A 个 AB 同时生成 N A 个 B 2D.单位时间生成 N A 个 A 2 同时生成 N A 个 B 210、以下相关化学反响速率的说法中,正确的选项是 ( )A .100 mL 2 mol/L的盐酸与锌反响时,加入适当的氯化钠溶液,生成氢气的速率不变B .用铁片和稀硫酸反响制取氢气,改用铁片和浓硫酸能够加速产生氢气的速率C .在做草酸与高锰酸钾的反响实验时,加入少许草酸晶体可加速溶液退色速率D .在密闭容器中发生反响: C(s) + H 2O(g)CO(g) +H 2(g) ,增添 C 的量可增大该反应的速率11、在必定温度下,将气体 X 和 Y 各 3 mol 充入 10 L 恒容密闭容器中,发生反响:3X(g)+Y(g)2Z(g)+ W(g)。
内蒙古科左后旗甘旗第二中学2018-2019学年高二语文上学期期中试题内蒙古科左后旗甘旗第二中学2018-2019学年高二语文上学期期中试题编辑整理:尊敬的读者朋友们:这里是精品文档编辑中心,本文档内容是由我和我的同事精心编辑整理后发布的,发布之前我们对文中内容进行仔细校对,但是难免会有疏漏的地方,但是任然希望(内蒙古科左后旗甘旗第二中学2018-2019学年高二语文上学期期中试题)的内容能够给您的工作和学习带来便利。
同时也真诚的希望收到您的建议和反馈,这将是我们进步的源泉,前进的动力。
本文可编辑可修改,如果觉得对您有帮助请收藏以便随时查阅,最后祝您生活愉快业绩进步,以下为内蒙古科左后旗甘旗第二中学2018-2019学年高二语文上学期期中试题的全部内容。
内蒙古科左后旗甘旗第二中学2018-2019学年高二语文上学期期中试题 甘二中2018-2019学年度上学期期中考试 高二语文试题 本试卷分为第Ⅰ卷和第Ⅱ卷两部分,共150分,考试时间150分钟。
注意:1.答卷前,将姓名、考号填在答题卡的密封线内. 2.答案必须写在答题卡上,在试题卷上答题无效。
第Ⅰ卷 阅读题 一、现代文阅读(36分) (一)论述类文本阅读(本题共3小题,9分) 阅读下面的文字,完成1—-3题。
论中国古代家庭教育思想 王建军 因血缘关系而萌发的亲情是家庭成员交往的自然基础和人伦准则,从亲亲敬长的血缘亲情中提升出孝悌仁爱等道德,这是古代家庭教育乃至道德教育具有生命力的根源所在。
孔子说,孝悌之德的培养并非停留于孝顺之举的行动层面,而应追求尊老敬长情感的升华。
因此从儿童本身的生活体验出发来培养其尊老敬长的情感,最为自然最为贴切。
家庭教育以此为基本出发点,既符合人的自然本性,又切合儿童的生活和情感的体验。
古人对孝悌内涵的界定并未停留在情感的层面,而是力图将这一情感导入尊卑贵贱的家族制度的轨道,将对家长的孝顺之情转化成对宗法等级制度的服从。
K12学习教育资源甘二中2018-2019学年度上学期期中考试高二生物试题本试卷分为第Ⅰ卷(选择题)和第Ⅱ卷(非选择题)两部分,共100分,考试时间90分钟。
注意:1.答卷前,将姓名、考号填在答题卡的密封线内。
2.答案必须写在答题卡上,在试题卷上答题无效。
第Ⅰ卷一、单选题(60分每题2分)1.下列有关内环境的叙述中,错误的是()A.血浆中的有些物质经毛细血管动脉端进入组织液B.血浆、淋巴、组织液都可以是免疫细胞的生存环境C.组织液来自于血浆、淋巴和细胞内液D.内环境稳态有利于细胞代谢中酶促反应的正常进行2.正常生理条件下,下列过程可发生在内环境中的是A.血糖的氧化分解 B.血浆蛋白的合成C.淀粉的水解 D.NaHC03的生成3.下列病症中,与人体内环境成分发生明显变化无关的是A.小腿抽搐 B.组织水肿C.尿毒症 D.镰刀型细胞贫血症4.下列过程可发生在人体内环境中的是()A.乳酸与NaHCO3的反应B.胰岛B细胞合成胰岛素C.葡萄糖脱氢分解产生丙酮酸D.食物中的蛋白质经消化被分解成氨基酸5.有关人体内环境及其稳态的叙述,正确的是( )A.抗原与抗体的特异性结合不可能发生在内环境中B.内环境稳态是指内环境理化性质恒定不变C.机体维持稳态的调节机制就是神经——体液调节D.内环境稳态是机体进行正常生命活动的必要条件6.内环境保持相对稳定是人体各项生命活动顺利进行的必要条件,下列有关叙述正确的是()A.饥饿状态下,人体胰岛B细胞的分泌活动增强B.接触花粉时导致的过敏反应可引起组织液的减少C.内环境的稳态在外界环境变化过于剧烈时会遭到破坏D.佝偻病与内环境的稳态失调没有直接关系7.对维持内环境稳态起主要作用的系统是()①神经②内分泌③循环④运动⑤消化⑥呼吸⑦泌尿⑧免疫A.①②③B.④⑤⑥C.①②⑧D.③⑤⑥8.人体内环境中,与组织液成分最接近的液体是A.血浆 B.血清 C.淋巴 D.原尿9.2017南宁国际马拉松比赛成功举办,引领健康生活方式。
内蒙古科左后旗甘旗第二中学高二语文上学期期中试题甘二中2018—2019学年度上学期期中考试高二语文试题本试卷分为第Ⅰ卷和第Ⅱ卷两部分,共150分,考试时间150分钟。
注意:1.答卷前,将姓名、考号填在答题卡的密封线内.2.答案必须写在答题卡上,在试题卷上答题无效.第Ⅰ卷阅读题一、现代文阅读(36分)(一)论述类文本阅读(本题共3小题,9分)阅读下面的文字,完成1-—3题.论中国古代家庭教育思想王建军因血缘关系而萌发的亲情是家庭成员交往的自然基础和人伦准则,从亲亲敬长的血缘亲情中提升出孝悌仁爱等道德,这是古代家庭教育乃至道德教育具有生命力的根源所在。
孔子说,孝悌之德的培养并非停留于孝顺之举的行动层面,而应追求尊老敬长情感的升华。
因此从儿童本身的生活体验出发来培养其尊老敬长的情感,最为自然最为贴切。
家庭教育以此为基本出发点,既符合人的自然本性,又切合儿童的生活和情感的体验。
古人对孝悌内涵的界定并未停留在情感的层面,而是力图将这一情感导入尊卑贵贱的家族制度的轨道,将对家长的孝顺之情转化成对宗法等级制度的服从。
在宗法制度的影响及古代思想家们的包装下,这种血缘关系的不同却成为家庭成员内部主从、尊卑的客观基础,成为家庭成员之间贵贱亲疏的理论依据。
这种血缘宗法制度给古代家庭教育贴上了等级制度的标签,遵守和服从这一文化秩序成为古代家庭教育的根本要求,古代家庭中的儿童备受其害。
可这压抑儿童天性有损家庭和睦的家庭教育主张却能在古代社会大行其道,历久不衰,其根本原因是古代家庭教育所倡行的孝悌之德适应了封建社会的发展需要。
孔子曾说过:“夫孝,始于事亲,中于事君,终于立身。
”萌发于血缘之情的孝悌之德不仅具有“事亲”的效用,而且具有“事君"的效用,这是由封建社会的政治结构所决定。
这样,培养孝悌之德不仅成为“齐家”的需要,而且成为“国治”的基本素质要求。
正由于古代家庭结构与社会政治结构的这一同构性,将孝悌之德政治化和制度化便成为封建政治家们孜孜以求的目标.身居这一文化环境中,任何家庭都难以摆脱这一教育模式的张力。
甘二中2018-2019学年度上学期期中考试 高二数学试题(文科) 本试卷分为第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:1.答卷前,将姓名、考号填在答题卡的密封线内。
2.答案必须写在答题卡上,在试题卷上答题无效。
第Ⅰ卷(选择题共60分) 一、 选择题(共12小题,每小题5分,共60分) 1.直线30x y +-=的倾斜角为 ( ) A .450 B .1200 C .1350 D .1500 2.下列几何体中不是旋转体的是 ( )3.若直线a 不平行于平面α,则下列结论成立的是( ) A.α内所有的直线都与a 异面 B.α内不存在与a 平行的直线 C.α内所有的直线都与a 相交 D.直线a 与平面α有公共点4.下列说法正确的是 ( ) ①圆台可以由任意一个梯形绕其一边旋转形成; ②用任意一个与底面平行的平面截圆台,截面是圆面; ③在圆台上、下底面圆周上各取一点,则这两点的连线是圆台的母线; ④圆柱的任意两条母线平行,圆锥的任意两条母线相交,圆台的任意两条母线延长后相交. A .②④ B .①② C .①③ D .②③5.已知平面α内有无数条直线都与平面β平行,那么( ) A.α∥β B.α与β相交 C.α与β重合 D.α∥β或α与β相交6.已知直线210x ay +-=与直线(31)10a x y ---=垂直,则a 的值为( ) A . 0 B . 1 C .16 D .13密 封 线7.已知某几何体的三视图如图所示,其中正视图、侧视图均是由三角形与半圆构成,俯视图由圆与内接三角形构成,根据图中的数据可得此几何体的体积为 ( )A .2π3+12 B .4π3+16C .2π6+16 D .2π3+128. 已知▱ABCD 的三个顶点的坐标分别是A (0,1),B (1,0),C (4,3),则顶点D 的坐标为( )A .(3,4)B .(4,3)C .(3,1)D .(3,8) 9.直线2610()kx y k k R +-+=∈经过定点P ,则点为P ( )A . (1,3)B .(3,1)-C .(3,1)D (1,3)--10.直线l 过点A (3,4)且与点B (-3,2)的距离最远,那么l 的方程为( )A .3x -y -13=0B .3x +y -13=0C .3x -y +13=0D .3x +y +13=011.等腰直角三角形ABC 的直角顶点为C (3,3),若点A (0,4),则点B 的坐标可能是( )A .(2,0)或(4,6)B .(2,0)或(6,4)C .(6,4)D .(0,2)12.一个球与一个上、下底面为正三角形,侧面为矩形的棱柱的三个侧面和两个底面都相切,已知这个球的体积为32π3,那么这个正三棱柱的体积是 ( ) A .96 3 B .16 3 C .24 3 D .48 3第‖卷(选择题共60分)二、填空题(共4小题,每小题5分,共20分)13、.a 、b 是异面直线,则①过a 至少有一个平面平行于b;②过a 至少有一个平面垂直于b;③至多有一条直线与a 、b 都垂直;④至少有一个平面与a 、b 都平行,其中正确的是__________14、如果三个球的半径之比是1∶2∶3,那么最大球的表面积是其余两个球的表面积之和的____倍.15、 10.若过点P(1-a,1+a)与点Q(3,2a)的直线的倾斜角是钝角,则实数a的取值范围是________.16、已知直线l的倾斜角为135°,且经过点P(1,1),点A(3,4)关于直线l的对称点A′的坐标为________.三、解答题(共6小题,其中17题10分,其余每小题12分,共70分)17、求满足下列条件的直线方程:(1)经过两条直线2x-3y+10=0和3x+4y-2=0的交点,且垂直于直线3x-2y+4=0;(2)经过两条直线2x+y-8=0和x-2y+1=0的交点,且平行于直线4x-3y-7=018、一条光线从点A(2,3)出发,经y轴反射后,通过点B(4,-1),求入射光线和反射光线所在的直线方程.19、设P是△ABC所在平面外一点,P到A、B、C的距离相等,∠BAC为直角.求证:平面PCB⊥平面ABC.20、已知点A(m-1,2),B(1,1),C(3,m2-m-1).(1)若A,B,C三点共线,求实数m的值;(2)若AB⊥BC,求实数m的值.21、如图所示,四棱锥P—ABCD中,底面ABCD是矩形,PA⊥平面ABCD,M、N分别是AB、PC 的中点,PA=AD=a.求证:(1)MN∥平面PAD (2)平面PMC⊥平面PCD.22、已知点P(2,-1).(1)求过点P且与原点O的距离为2的直线的方程;(2)求过点P且与原点O的距离最大的直线的方程,并求出最大距离;(3)是否存在过点P且与原点O的距离为6的直线?若存在,求出该直线的方程;若不存在,请说明理由.高二文科数学试答案13. ①④ 14. 9515. -2<a <1 16. (-2,-1) 17、(1)2x+3y-2=0(2)4x-3y-6=018、一条光线从点A (2,3)出发,经y 轴反射后,通过点B (4,-1),求入射光线和反射光线所在的直线方程.解:点A (2,3)关于y 轴的对称点为A ′(-2,3),点B (4,-1)关于y 轴的对称点为B ′(-4,-1).则入射光线所在直线的方程为AB ′:y +13+1=x +42+4, 即2x -3y +5=0.反射光线所在直线的方程为A ′B :y +13+1=x -4-2-4, 即2x +3y -5=0.19设P 是△ABC 所在平面外一点,P 到A 、B 、C 的距离相等,∠BAC 为直角.求证:平面PCB⊥平面ABC.证明:如图所示,取BC 的中点D ,连结PD 、AD ,∵D 是Rt△ABC 的斜边BC 的中点,∴BD=CD=AD.又PA=PB=PC ,PD 是公共边,∴∠PDA=∠PDB=∠PDC=90°.∴PD⊥BC,PD⊥DA,PD⊥平面ABC.又PD 平面PCB,∴平面PCB⊥平面ABC.20已知点A (m -1,2),B (1,1),C (3,m 2-m -1).(1)若A ,B ,C 三点共线,求实数m 的值;(2)若AB ⊥BC ,求实数m 的值.解:(1)因为A ,B ,C 三点共线,且x B ≠x C ,则该直线斜率存在,则k BC =k A B ,即m 2-m -22=1m -2,解得m =1或1-3或1+ 3. (2)由已知,得k BC =m 2-m -22,且x A -x B =m -2.①当m -2=0,即m =2时,直线AB 的斜率不存在,此时k BC =0,于是AB ⊥BC ;②当m -2≠0,即m ≠2时,k AB =1m -2, 由k AB ·k BC =-1,得1m -2·m 2-m -22=-1, 解得m =-3.综上,可得实数m 的值为2或-3.21、如图2-5所示,四棱锥P —ABCD 中,底面ABCD 是矩形,PA⊥平面ABCD ,M 、N 分别是AB 、PC 的中点,PA=AD=a.求证:(1)MN∥平面PAD ;(2)平面PMC⊥平面PCD.证明:如图所示,(1)设PD 的中点为E ,连结AE 、NE ,由N 为PC 的中点,知EN21DC. 又四边形ABCD 是矩形,∴DC AB. ∴EN 21AB.又M 是AB 的中点, ∴EN AM.∴AMNE 是平行四边形.∴MN∥AE.而AE ⊂平面PAD ,NM 平面PAD,∴MN∥平面PAD. (2)∵PA=A D ,∴AE⊥PD.又∵PA⊥平面ABCD ,CD ⊂平面ABCD ,∴CD⊥PA,而CD⊥AD,∴CD⊥平面PAD.∴CD⊥AE.∵PD∩CD=D,∴AE⊥平面PCD. ∵MN∥AE,∴MN⊥平面PCD.又MN 平面PMC ,∴平面PMC⊥平面PCD.22、已知点P (2,-1).(1)求过点P 且与原点O 的距离为2的直线的方程;(2)求过点P 且与原点O 的距离最大的直线的方程,并求出最大距离;(3)是否存在过点P 且与原点O 的距离为6的直线?若存在,求出该直线的方程;若不存在,请说明理由.解:(1)①当直线的斜率不存在时,方程x =2符合题意.②当直线的斜率存在时,设斜率为k ,则直线方程为y +1=k (x -2),即kx -y -2k -1=0. 根据题意,得|2k +1|k 2+1=2,解得k =34. 则直线方程为3x -4y -10=0.故符合题意的直线方程为x -2=0或3x -4y -10=0.(2)过点P 且与原点的距离最大的直线应为过点P 且与OP 垂直的直线.则其斜率k =2,所以其方程为y +1=2(x -2), 即2x -y -5=0. 最大距离为 5.(3)不存在.理由:由于原点到过点(2,-1)的直线的最大距离为5,而6>5,故不存在这样的直线.。
2018-2019学年内蒙古通辽市科左后旗甘旗二中高二(上)期中数学试卷(理科)一、单选题(本大题共12小题,共60.0分)1.经过A(2,0),B(5,3)两点的直线的倾斜角()A. 45°B. 135°C. 90°D. 60°2.已知平面α内有无数条直线都与平面β平行,那么()A. α//βB. α与β相交C. α与β重合D. α//β或α与β相交3.与直线2x+y−3=0平行,且距离为√5的直线方程是()A. 2x+y+2=0B. 2x+y−8=0C. 2x+y+2=0或2x+y−8=0D. 2x+y−2=0或2x+y+8=04.设l为直线,α,β是两个不同的平面,下列命题中正确的是()A. 若l//α,l//β,则α//βB. 若l⊥α,l⊥β,则α//βC. 若l⊥α,l//β,则α//βD. 若α⊥β,l//α,则l⊥β5.在下列四个正方体中,能得出AB⊥CD的是()A. B.C. D.6.如图,在直三棱柱ABC−A1B1C1中,D为A1B1的中点,AB=BC=4,BB1=1,AC=2√5,则异面直线BD与AC所成的角为()A. 30°B. 45°C. 60°D. 90°7. 三个球的半径之比为1:2:3,那么最大球的表面积是其余两个球的表面积之和的( )A. 1倍B. 2倍C. 95倍D. 74倍8. 1个半径为2的球体经过切割后,剩余部分几何体的三视图如图所示,则该几何体的表面积( )A. 16πB. 4πC. 8πD. 12π9. 如图长方体中,AB =AD =2√3,CC 1=√2,则二面角C 1−BD −C 的大小为( )A. 30°B. 45°C. 60°D. 90°10. 若直线l 过点A(3,4),且点B(−3,2)到直线l 的距离最远,则直线l 的方程为( )A. 3x −y −5=0B. 3x −y +5=0C. 3x +y +13=0D. 3x +y −13=011. 直线2x +3y −6=0关于点(1,−1)对称的直线是( )A. 3x −2y +2=0B. 2x +3y +7=0C. 3x −2y −12=0D. 2x +3y +8=012. 已知直线l 1:ax +2y −1=0,直线l 2:8x +ay +2−a =0,若l 1//l 2,则实数a的值为( )A. ±4B. −4C. 4D. ±2二、单空题(本大题共4小题,共20.0分)13. 已知点A(−2,3),B(4,−1),则线段AB 的垂直平分线方程为______. 14. 点M(1,4)关于直线l :x −y +1=0对称的点M′的坐标是______. 15. 已知a ,b 表示直线,α,β,γ表示平面.①若α∩β=a ,b ⊂a ,a ⊥b ,则α⊥β; ②若a ⊂α,a 垂直于β内任意一条直线,则α⊥β;③若α⊥β,α∩β=a,a∩γ=b则a⊥b;④若a⊥α,b⊥β,a//b,则α//β.上述命题中,正确命题的序号是______ .16.不论m取何实数,直线l:(m−1)x+(2m−1)y=m−5恒过定点______ .三、解答题(本大题共6小题,共70.0分)17.过点(2,3)的直线l被两平行直线l1:2x−5y+9=0与l2:2x−5y−7=0所截线段AB的中点恰在直线x−4y−1=0上,求直线l的方程.18.(1)求与直线3x+4y−7=0垂直.且与原点的距离为6的直线方程;(2)求经过直线l1:2x+3y−5=0与l2:7x+15y+1=0的交点.且平行于直线x+2y−3=0的直线方程.19.已知△ABC的三边所在直线的方程分别是l AB:4x−3y+10=0,l BC:y=2,l CA:3x−4y=5.(1)求∠BAC的平分线所在直线的方程;(2)求AB边上的高所在直线的方程.20.如图所示,四棱锥P−ABCD中,底面ABCD是矩形,PA⊥平面ABCD,M、N分别是AB、PC的中点,PA=AD=a.(1)求证:MN//平面PAD;(2)求证:平面PMC⊥平面PCD.21.已知点A(m−1,2),B(1,1),C(3,m2−m−1).(1)若A,B,C三点共线,求实数m的值;(2)若AB⊥BC,求实数m的值.22.如图,直三棱柱ABC−A1B1C1中,D,E分别是AB,BB1的中点.(1)证明BC1//平面A1CD(2)设AA1=AC=CB=2,AB=2√2,求三菱锥C−A1DE的体积.答案和解析1.【答案】A【解析】解:∵A(2,0),B(5,3),=1,∴直线AB的斜率k=3−05−2设直线AB的倾斜角为θ(0°≤θ<180°),则tanθ=1,∴θ=45°.故选:A.利用两点间的斜率公式可求得直线AB的斜率,从而可得其倾斜角.本题考查直线的斜率,掌握直线的斜率与其倾斜角之间的关系是关键,属于基础题.2.【答案】D【解析】【分析】本题考查了空间中直线与平面的位置关系,平面与平面的位置关系,考查空间想象能力,属于基础题.由题意,平面α内有无数条直线都与平面β平行,利用空间两平面的位置关系的定义即可判断.【解答】解:由题意,平面α内有无数条直线都与平面β平行,当两个平面平行时,满足平面α内有无数条直线都与平面β平行;当两平面相交时,在α平面内作与交线平行的直线,也满足平面α内有无数条直线都与平面β平行;综上,若平面α内有无数条直线都与平面β平行,则α//β或α与β相交.故选:D.3.【答案】C【解析】【分析】本题考查两直线平行的条件:斜率相等,以及两平行直线的距离公式的运用,考查运算能力,属于基础题.设出所求直线为2x+y+t=0,(t≠−3),运用两平行直线的距离公式,计算可得t,即可得到所求直线方程.【解答】解:与直线2x+y−3=0平行的直线设为2x+y+t=0,(t≠−3),=√5,由题意可得√4+1解得t=2或−8,则所求直线的方程为2x+y+2=0或2x+y−8=0.故选C.4.【答案】B【解析】【分析】本题考查直线与平面的位置关系及平面与平面之间的位置关系,属于基础题.举反例可判断A;根据垂直于同一直线的两个平面平行可判断B;根据线面垂直的性质定理可判断C;根据空间中的位置关系判断D.【解答】解:若l//α,l//β,则平面α,β可能相交,此时交线与l平行,故A错误;若l⊥α,l⊥β,根据垂直于同一直线的两个平面平行,可得B正确;若l⊥α,l//β,则存在直线m⊂β,使l//m,则m⊥α,故此时α⊥β,故C错误;若α⊥β,l//α,则l与β可能相交,可能平行,也可能线在面内,故D错误;故选:B.5.【答案】A【解析】【分析】本题考查正方体的结构特征及线面垂直的判定与性质,在图A中作出经过AB的对角面,发现它与CD垂直,故AB⊥CD成立;在图B中作出正方体过AB的等边三角形截面,可得CD、AB成60°的角;而在图C、D中,不难将直线CD进行平移,得到CD与AB所成角为锐角.由此可得正确答案.【解答】解:对于A,作出过AB的对角面如图,由正方体性质可得直线CD与这个对角面垂直,根据线面垂直的性质,AB⊥CD成立;对于B,作出过AB的等边三角形截面如图,将CD平移至内侧面,可得CD与AB所成角等于60°;对于C、D,将CD平移至经过B点的侧棱处,可得AB、CD所成角都是锐角.故选A.6.【答案】C【解析】解:取AB的中点M,连接A1M、C1M和CM,则A1M//BD,A1C1//AC,∴∠MA1C1即为异面直线BD与AC所成的角.∵AB=BC=4,BB1=1,AC=2√5,∴A1M=√A1A2+AM2=√1+4=√5,在△ABC中,由余弦定理知,cos∠ABC=AB2+BC2−AC22AB⋅BC =16+16−202×4×4=38,在△MBC中,由余弦定理知,cos∠ABC=BM2+BC2−CM22BM⋅BC =4+16−CM22×2×4=38,解得,CM=√14,∴C1M=√CM2+C1C2=√14+1=√15,在△MA1C1中,∵由余弦定理知,cos∠MA1C1=A1M2+A1C12−C1M22A1M⋅A1C1=2×√5×2√5=12,∵∠MA1C1∈(0,90°],∴∠MA1C1=60°,故选:C.取AB的中点M,连接A1M、C1M和CM,则∠MA1C1即为所求;在△ABC和△MBC中,利用余弦定理可求出CM的长,再由勾股定理求出C1M和A1M的长,最后在△MA1C1中,由余弦定理求出cos∠MA1C1的值即可得解.本题考查异面直线夹角的求法,利用平移的思想,找出异面直线所成的角是解题的关键,考查学生的空间立体感、逻辑推理能力和运算能力,属于中档题.7.【答案】C【解析】【分析】本题可以先设出最小球半径为r,根据三个球的半径之比,用r表示出另两个球的半径,再根据球的表面积公式求出三个球的表面积,即可得出答案.本题考查了球的表面积公式,考查计算能力,属于中档题.【解答】解:设最小球的半径为r,则另两个球的半径分别为2r、3r,所以各球的表面积分别为4πr2,16πr2,36πr2,所以最大球的表面积与其余两个球的表面积之和的比为:36πr24πr2+16πr2=95.故选:C.8.【答案】A【解析】解:由三视图知:被切割的部分为14球体, ∴几何体的表面积为34球的表面积加上两个半圆的面积,∵球的半径为2,∴几何体的表面积S =34×4π×22+π×22=16π. 故选:A .几何体为一个球切割掉14球体,根据几何体的表面积为34球的表面积加上两个半圆的面积,把数据代入球的表面积公式及圆的面积公式计算.本题考查了由三视图求几何体的表面积,根据三视图判断几何体的形状及数据所对应的几何量是解答此类问题的关键.9.【答案】A【解析】 【分析】本题考查的知识点是二面角的平面角及求法,其中找出二面角的平面角是解答本题的关键.取BD 的中点E ,连接C 1E ,CE ,根据已知中AB =AD =2√3,CC 1=√2,我们易得△C 1BD 及△CBD 均为等腰三角形,进而得到C 1E ⊥BD ,CE ⊥BD ,则∠C 1EC 即为二面角 C 1−BD −C 的平面角,解△C 1EC 即可求也二面角 C 1−BD −C 的大小. 【解答】解:取BD 的中点E ,连接C 1E ,CE , 由已知中AB =AD =2√3,CC 1=√2, 易得CB =CD =2√3,C 1B =C 1D =√14, 根据等腰三角形的性质,我们易得 C 1E ⊥BD ,CE ⊥BD则∠C 1EC 即为二面角 C 1−BD −C 的平面角, 在△C 1EC 中,C 1E =2√2,CC 1=√2,CE =√6, 故∠C 1EC =30°,故二面角 C 1−BD −C 的大小为30°, 故选:A .10.【答案】D【解析】【分析】本题考查了相互垂直的直线斜率之间的关系、斜率计算公式,考查了推理能力与计算能力,属于中档题.l⊥AB时满足条件.利用斜率计算公式、点斜式即可得出.【解答】解:l⊥AB时满足条件.k AB=2−4−3−3=13,则k l=−3.∴直线l的方程为:y−4=−3(x−3),化为:3x+y−13=0.故选:D.11.【答案】D【解析】解:直线2x+3y−6=0关于点(1,−1)对称的直线,和直线2x+3y−6=0平行,排除A、C,在直线2x+3y−6=0选特殊点(0,2),它关于点(1,−1)对称点(2,−4),显然(2,−4)不在2x+3y+7=0上.故选:D.直线2x+3y−6=0关于点(1,−1)对称的直线,和直线2x+3y−6=0平行,排除A、C,在直线2x+3y−6=0选特殊点,关于点(1,−1)对称点求出,验证B即可得到答案.选择题的解法,灵活多样,本题用排除、特值、验证的方法解答.本题是基础题.12.【答案】B【解析】解:∵l1//l2,∴a2−16=0,解得a=±4,a=4时,直线l1:4x+2y−1=0,直线l2:8x+4y+2−4=0,即4x+2y−1=0,此时两直线重合,舍去.a=−4时,直线l1:−4x+2y−1=0,即4x−2y+1=0,直线l2:8x−4y+2+4=0,即4x−2y+3=0,此时两条直线平行.∴a=−4.故选:B.由l1//l2,利用平行与斜率之间的关系可得a2−16=0,解得a,再进行验证即可得出.本题考查了直线方程、平行与斜率之间的关系,考查了推理能力与计算能力,属于基础题.13.【答案】3x−2y−1=0【解析】解:k AB=−1−34−(−2)=−46=−23,线段AB中点为(1,1),可得AB的垂直平分线的斜率为32,∴直线AB的垂直平分线方程为y−1=32(x−1),即3x−2y−1=0.故答案为:3x−2y−1=0.求得直线AB的斜率,由垂直的条件:斜率之积为−1,可得AB的垂直平分线的斜率,求得AB的中点坐标,由点斜式方程即可得到所求直线的方程.本题考查两直线垂直的条件:斜率之积为−1,考查线段的中点坐标公式,以及直线方程的求法,考查运算能力,属于基础题.14.【答案】(3,2)【解析】解析:设对称点M′(m,n),则有{4−n1−m ×1=−11+m 2−4+n2+1=0,解得m=3,n=2,即M′(3,2).故答案为:(3,2)由题意设对称点M′(m,n),则有{4−n1−m ×1=−11+m 2−4+n2+1=0,解得m=3,n=2,可得答案.本题考查了点关于直线的对称点的求法,比较基础.15.【答案】②④【解析】解:①由α∩β=a,b⊂α,a⊥b,不一定得到α⊥β,可能是一般的相交,故①错误;②由a垂直于β内任意一条直线,可得a⊥β,又a⊂α,∴α⊥β,故②正确;③若α⊥β,α∩β=a ,α∩γ=b 则a 与b 可能平行,也可能相交,故③错误; ④若a ⊥α,a//b ,则b ⊥α,又b ⊥β,则α//β,故④正确.∴正确命题的序号是②④.故答案为:②④.由空间中直线与平面间的位置关系判定①③;由直线与平面垂直的定义及面面平行的判定判断②;由直线与平面垂直的性质判断④.本题考查空间中直线与直线、直线与平面、平面与平面位置关系的判定及应用,考查空间想象能力与思维能力,是中档题.16.【答案】(9,−4)【解析】解:∵不论m 取何实数,直线ℓ:(m −1)x +(2m −1)y =m −5恒过定点, ∴m(x +2y −1)−x −y +5=0恒成立,∴{x +2y −1=0−x −y +5=0, ∴{x =9y =−4∴直线ℓ:(m −1)x +(2m −1)y =m −5恒过定点(9,−4).故答案为:(9,−4).将直线ℓ:(m −1)x +(2m −1)y =m −5转化为m(x +2y −1)−x −y +5=0,通过解方程组即可得答案.本题考查恒过定点的直线,转化为关于m 的关系式是关键,考查转化与方程组思想,属于基础题.17.【答案】解:设线段AB 的中点P 的坐标(a,b),由P 到l 1、l 2的距离相等,得 √4+25=√4+25,经整理得,2a −5b +1=0,又点P 在直线x −4y −1=0上,所以a −4b −1=0,解方程组{2a −5b +1=0a −4b −1=0, 得{a =−3b =−1,即点P 的坐标(−3,−1), 又直线l 过点(2,3),所以直线l 的方程为y−(−1)3−(−1)=x−(−3)2−(−3),即4x −5y +7=0.【解析】设线段AB 的中点P 的坐标(a,b),由P 到l 1、l 2的距离相等,运用点到直线的距离公式,可得a ,b 的关系,再由点P 在直线x −4y −1=0上,代入可得a ,b 的关系,求得P 的坐标,再由两点式可得所求直线方程.本题考查直线方程的求法,注意运用点到直线的距离公式和联立直线方程求交点,考查运算能力,属于中档题.18.【答案】解:(1)设与直线3x +4y −7=0垂直的直线方程为:4x −3y +m =0. 又与原点的距离为6,∴√42+(−3)2=6,解得m =±30.∴满足条件的直线方程为:4x −3y ±30=0.(2)联立{2x +3y −5=07x +15y +1=0,解得{x =263y =−379. 设平行于直线x +2y −3=0的直线方程为x +2y +n =0. 把{x =263y =−379代入上述方程可得:n =−49. ∴要求的直线方程为:9x +18y −4=0.【解析】(1)设与直线3x +4y −7=0垂直的直线方程为:4x −3y +m =0.又与原点的距离为6,可得√42+(−3)2=6,解得m 即可.(2)联立{2x +3y −5=07x +15y +1=0,解得交点P 的坐标.设平行于直线x +2y −3=0的直线方程为x +2y +n =0.代入即可得出.本题考查了相互平行与垂直的直线斜率之间的关系、直线的交点、点到直线的距离公式,考查了推理能力与计算能力,属于中档题.19.【答案】解:(1)设P(x,y)是∠BAC 的平分线上任意一点,则点P 到AC ,AB 的距离相等,即√42+32=√32+42,∴4x −3y +10=±(3x −4y −5).又∵∠BAC 的平分线所在直线的斜率在34和43之间,∴7x −7y +5=0为∠BAC 的平分线所在直线的方程.(2)设过点C 的直线系方程为3x −4y −5+λ(y −2)=0,即3x −(4−λ)y −5−2λ=0.若此直线与直线l AB :4x −3y +10=0垂直,则3×4+3(4−λ)=0,解得λ=8.故AB 边上的高所在直线的方程为3x +4y −21=0.【解析】(1)根据题意,设P(x,y)是∠BAC 的平分线上任意一点,由角平分线的性质可得|4x−3y+10|√42+32=|3x−4y−5|√32+42,化简可得答案;(2)设过点C 的直线系方程为3x −4y −5+λ(y −2)=0,变形可得3x −(4−λ)y −5−2λ=0,由直线垂直于直线一般式的关系可得3×4+3(4−λ)=0,解可得λ的值,将λ的值代入所设直线方程即可得答案.本题考查直线方程的求法,涉及点到直线的距离公式,(1)中注意由角平分线的性质得到关于x 、y 的方程.20.【答案】证明:(1)设PD 的中点为E ,连接AE 、NE ,由N 为PC 的中点知EN//12DC ,又ABCD 是矩形,∴DC//AB ,∴EN//12AB又M 是AB 的中点,∴EN//AM ,EN =AM∴AMNE 是平行四边形∴MN//AE ,而AE ⊂平面PAD ,NM ⊄平面PAD∴MN//平面PAD证明:(2)∵PA =AD ,∴AE ⊥PD ,又∵PA ⊥平面ABCD ,CD ⊂平面ABCD ,∴CD ⊥PA ,而CD ⊥AD ,∴CD ⊥平面PAD∴CD ⊥AE ,∵PD ∩CD =D ,∴AE ⊥平面PCD ,∵MN//AE ,∴MN ⊥平面PCD ,又MN ⊂平面PMC ,∴平面PMC⊥平面PCD.【解析】(1)欲证MN//平面PAD,根据直线与平面平行的判定定理可知只需证MN与平面PAD内一直线平行即可,设PD的中点为E,连接AE、NE,易证AMNE是平行四边形,则MN//AE,而AE⊂平面PAD,NM⊄平面PAD,满足定理所需条件;(2)欲证平面PMC⊥平面PCD,根据面面垂直的判定定理可知在平面PMC内一直线与平面PCD垂直,而AE⊥PD,CD⊥AE,PD∩CD=D,根据线面垂直的判定定理可知AE⊥平面PCD,而MN//AE,则MN⊥平面PCD,又MN⊂平面PMC,满足定理所需条件.本题主要考查平面与平面垂直的判定,以及线面平行的判定,同时考查了空间想象能力和推理能力,属于一般题.21.【答案】解:(1)因为A,B,C三点共线,且x B≠x C,则该直线斜率存在,则k BC=k AB,即m2−m−22=1m−2,解得m=1或1−√3或1+√3;(2)由已知,得k BC=m2−m−22,且x A−x B=m−2.①当m−2=0,即m=2时,直线AB的斜率不存在,此时k BC=0,于是AB⊥BC;②当m−2≠0,即m≠2时,k AB=1m−2,由k AB⋅k BC=−1,得1m−2⋅m2−m−22=−1,解得m=−3.综上,可得实数m的值为2或−3.【解析】(1)因为A,B,C三点共线,且x B≠x C,则该直线斜率存在,则k BC=k AB,运用两点的斜率公式,解方程即可得到所求值;(2)讨论m−2是否为0,再由两直线垂直的条件:斜率之积为−1,解方程即可得到所求值.本题考查三点共线的条件和两直线垂直的等价条件,考查方程思想和分类讨论思想方法,以及运算能力,属于中档题.22.【答案】(1)证明:连结AC1交A1C于点F,则F为AC1中点又D是AB中点,连结DF,则BC1//DF.因为DF⊂平面A1CD,BC1不包含于平面A1CD,所以BC1//平面A1CD.(2)解:因为ABC−A1B1C1是直三棱柱,所以AA1⊥CD.由已知AC=CB,D为AB的中点,所以CD⊥AB.又AA1∩AB=A,于是CD⊥平面ABB1A1.由AA1=AC=CB=2,AB=2√2得∠ACB=90°,CD=√2,A1D=√6,DE=√3,A1E=3,故A 1D2+DE2=A1E2,即DE⊥A1D.所以三菱锥C−A1DE的体积为:V C−A1DE =13×12×√6×√3×√2=1.【解析】(1)连结AC1交A1C于点F,连结DF,则BC1//DF,由此能证明BC1//平面A1CD.(2)由已知得AA1⊥CD,CD⊥AB,从而CD⊥平面ABB1A1.由此能求出三菱锥C−A1DE的体积.本题考查直线与平面平行的证明,考查三菱锥的体积的求法,是中档题,解题时要认真审题,注意空间思维能力的培养.。
内蒙古科左后旗甘旗第二中学2018-2019学年高二英语上学期期中试题编辑整理:尊敬的读者朋友们:这里是精品文档编辑中心,本文档内容是由我和我的同事精心编辑整理后发布的,发布之前我们对文中内容进行仔细校对,但是难免会有疏漏的地方,但是任然希望(内蒙古科左后旗甘旗第二中学2018-2019学年高二英语上学期期中试题)的内容能够给您的工作和学习带来便利。
同时也真诚的希望收到您的建议和反馈,这将是我们进步的源泉,前进的动力。
本文可编辑可修改,如果觉得对您有帮助请收藏以便随时查阅,最后祝您生活愉快业绩进步,以下为内蒙古科左后旗甘旗第二中学2018-2019学年高二英语上学期期中试题的全部内容。
甘二中2018-2019学年度上学期期中考试高二英语试题本试卷分为第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:1.答卷前,将姓名、考号填在答题卡的密封线内。
2.答案必须写在答题卡上,在试题卷上答题无效.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。
AAll over the world mothers and fathers teach their children manners.Other children may have mann ers that are not like yours.There are all kinds of manners.Many years ago, children who had good manners were seen and not heard.They kept quite quiet if grown.ups were talking.Today, well。
mannered children have more freedom.Sometimes good manners in one place are bad manners in other places.Suppose you are a visitor in the land of Mongolia。
内蒙古科左后旗⽢旗第⼆中学2018_2019学年⾼⼆物理上学期期中试题⽢⼆中2018-2019学年度上学期期中考试⾼⼆物理试题本试卷分为第Ⅰ卷(选择题)和第Ⅱ卷(⾮选择题)两部分,共100分,考试时间90分钟。
注意:1.答卷前,将姓名、考号填在答题卡的密封线内。
2.答案必须写在答题卡上,在试题卷上答题⽆效。
第Ⅰ卷⼀.单项选择题(每题4分,共48分)1. 若正电荷Q 周围的电场线如图所⽰,由图可知,以下说法正确的是()A. a 点的电场强度⼩于b 点的电场强度B. 把另⼀个带正电的点电荷放在a 点,它所受的电场⼒向右C. 把另⼀个带负电的点电荷放在b 点,它所受的电场⼒向右D. 把另⼀个带正电的点电荷放在b 点,它所受的电场⼒向左2. 某电场的电场线分布如图所⽰,A 、B 是电场中的两点,A 、B 两点的电场强度的⼤⼩分别为E A 、E B ,则E A 、E B 的⼤⼩关系是()A. E A >E BB. E A <E BC. E A =E BD. ⽆法确定3. 两电荷量分别为+Q 和-Q 的点电荷a 、b ,相距为r ,在它们连线的中点O 处放置另⼀带电荷量为q 的点电荷c ,则点电荷c 所受的电场⼒的⼤⼩为() A. B. C.D.4.在⽰波管中,电⼦枪每3秒内发射的电荷,则⽰波管中电流为 A. B. C. D.5.由欧姆定律I =导出U =IR 和R =,下列叙述不正确的是( ) U R U IA .导体的电阻跟导体两端的电压成正⽐,跟导体中的电流成反⽐B .导体的电阻由导体本⾝的物理条件决定,跟导体两端的电压及流过导体的电流的⼤⼩⽆关C .对确定的导体,其两端电压和流过它的电流的⽐值就是它的电阻值D .⼀定的电流流过导体,电阻越⼤,导体两端电压就越⼤ 6.在静电场中,⼀个电⼦由a 点移到b 点时静电⼒做功为5eV(1eV =1.6×10-19J),则以下说法中正确的是( ) 密封线A.电场强度的⽅向⼀定由b沿直线指向aB.a、b两点间电势差U ab=5VC.电⼦的电势能减少5eVD.电⼦的电势能减少5J7.电流表的内阻是R g=20 Ω,满刻度电流值是I g=0.05A,现欲把这个电流表改装成量程为2.0 V的电压表,正确⽅法的是()A.应串联⼀个20Ω的电阻B.应并联⼀个20 Ω的电阻C.应串联⼀个1 800 Ω的电阻D.应并联⼀个1 800 Ω的电阻8.在研究影响平⾏板电容器电容⼤⼩因素的实验中,⼀已充电的平⾏板电容器与静电计连接如图所⽰。
甘二中2018-2019学年度上学期期中考试高二英语试题本试卷分为第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:1.答卷前,将姓名、考号填在答题卡的密封线内。
2.答案必须写在答题卡上,在试题卷上答题无效。
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。
AAll over the world mothers and fathers teach their children manners.Other children may have mann ers that are not like yours.There are all kinds of manners.Many years ago, children who had good manners were seen and not heard.They kept quite quiet if grownups were talking.Today, wellmannered childr en have more freedom.Sometimes good manners in one place are bad manners in other places.Suppose you are a visitor in the land of Mongolia.Some friends ask you to eat with them.What kind of manners do they want you to have? They want you to give a loud “burp” after you finish eating.Burping would show that you like their food.In some countries, if you give a loud burp, you are told to say “excuse me, please.”In many places people like to eat together.But in some parts of Polynesia,it is bad manners to be seen eating all together.People show good manners by turning their backs on others while they eat.What are manners like in an East African town? The people try not to see you.They are being polite.You may see a friend.He may not see you at all.If you are polite, you will sit down beside him.You will wait until he finishes what he is doing.Then he will talk to you.Suppose you visit a friend in Arabia.You should walk behind the other tents until you come to his tent.If you pass in front of the other tents, you will be asked into each one.The people will ask you to eat with them.And it is bad manners if you say no.Manners are different all over the world.But it is good to know that all manners begin in the same way that people need ways to show that they want to be friends.21.People turn their backs on others while they eat in ________.A.MongoliaB.an East African townC.some parts of PolynesiaD.Arabia22.In an East African town, the people try not to see you.This is because ________.A.they are busy doing thingsB.they don’t want to talk with youC.it is good mannersD.they are waiting for you to talk with them23.Which of the following statements is TRUE?A.In Mongolia, you should say “excuse me” when you give a burp after dinner.B.Children with good manners are quiet.C.You should not walk behind the tents in Arabia.D.Manners are different all over the world.24.Sometimes good manners in one place are bad manners in other places.Which should be the supporting paragraph(s) to the idea?A.the fourth one B.the fifth one C.the sixth oneD.all of aboveBBody language or,as it is also known,nonverbal communication,is about all the things that people say and do without using words.Research suggests that more than 70% of communication occurs without people having to say a single word.Like language,the way we communicate nonverbally varies across cultures.But,unlike language,it can be very difficult to find out what the nonverbal rules are.It’s all very well known that there are differences in the ways that cultures work,but what can you do to try to prepare yourself for living and surviving in another culture?I think you’ve got two things to think about.I personally don’t fully accept the idea of “When in Rome,do as the Romans do”.I don’t thin k people expect you to completely adopt all of the things that they do.What I think that people would like is that you agree and understand it and that you do your best.One of the things you can do is actually explain to the other culture,saying,“Well,you know,actually we don’t normally kiss in my culture,so it’s a bit uncomfortable.” But then do your best,so it’s a learning process.Well,kissing is just one of many different ways of interaction that you need to know.You can get into difficult or embarrassing or even worse situations if you don’t know it.Eye contact,tone of voice,how close you stand,any touching,how many times you kiss,a long handshake,a short handshake it can go on and on.So I think,yes,you do need to get these correct and you need to have good observation skills.25.Body language is ________.A.not necessary B.not popularC.not worthless D.not involving words26.From the passage,it can be inferred ________.A.only grownups have body languageB.body language can be understood by all the people all the timeC.only the same body language has the same meaning all over the worldD.body languages are not the same because their cultures are different27.The passage is mainly to tell readers ________.A.body language is importantB.to find out the rules of body languageC.when in Rome,do as the Romans doD.to learn good observation skills28.According to the author,we know that ________.A.to learn body language,you should watch people and observe what they do B.to learn a language,you should prepare yourself for living in another culture C.when you learn a language,you must know the differences of different cultures D.to know body language,you should adopt all that other cultures doCThe Roar of NatureTsunamiThe 9.2 magnitude earthquake which caused the tsunami in the Indian Ocean on Boxing Day last year occurred at 7∶58 a.m.,95 miles off the west coast of Aceh,Indonesia.Eighteen minutes later,10metre high waves crashed ashore along a 500 milelong stretch of Aceh.Two hours later the tsunami hit Thailand and Malaysia and then Burma,Bangladesh,India,the Maldives,Sri Lanka,Kenya and Somalia.The final death toll is thought to be about 280,000,with tens of thousands more listed as missing.More than 1.8 million people lost their homes.What Is Tsunami?A tsunami is a chain of fast moving waves caused by a sudden strong quake in the ocean.They can be caused by earthquakes,volcanic eruptions,or even the collision of meteorites(陨星).Tsunamis are also incorrectly known as tidal waves,but unlike tidal waves they are not caused by changes in the tides.They are also most common around the edge of the Pacific,where more than half of the world’s volcanoes are found.These seismic surges c an attack coastlines,often with little or no warning.Rocks weighing as much as 20 metric tonnes have been pulled from sea walls and carried 180m inland.Wave PowerA tsunami can have a wavelength in excess of 100km and there may be an hour between them.They travel at great speeds across an ocean with hardly any energy losses and are barely noticeable out at sea.Over the deep Pacific Ocean,a tsunami travels at about 800Kph.If an earthquake happened in Los Angeles,a tsuna mi could hit Tokyo quicker than you could fly between the cities by jet.Strange Animal BehavioursTen days before giant waves slammed into Sri Lanka and India coastlines,wild and domestic animals seemed to know what was about to happen and fled to safety.Elephants screamed and ran for higher ground.Dogs refused to go outdoors.Zoo animals rushed into their shelters and could not be enticed(引诱) to come back out.29.What does the first part of the passage mainly tell us?A.The great speed of a tsunami.B.The serious destruction caused by the great power of a tsunami.C.The countries which were struck by a tsunami.D.The number of deaths caused by a tsunami.30.All the following can cause a tsunami EXCEPT ________.A.changes of the tidesB.volcanic eruptionsC.collision of meteoritesD.magnitu de earthquakes31.Which of the following is a characteristic of a tsunami?A.Having a lot of small waves linked together.B.The waves of a tsunami can be found in the distance.C.The power of the waves becomes stronger and stronger as a tsunami travels.D.The waves of a tsunami travel extremely fast.32.What can we learn from the strange animal behaviours?A.Animals are cleverer than human beings.B.More animals should be raised to prevent a tsunami.C.They might be used to predict a tsunami.D.Animals in the zoos should be watched carefully.DAs any homemaker who ha s tried to keep order at the dinner table knows,there is far more to family meal than food.Sociologist Michael Lewis has been studying 50 families to find out just how much more.Lewis and his coworkers carried out their study by videotaping(录像)the families while they ate ordinary meals in their own homes.They found that parents with small families talk actively with each other and their children.But as the number of children gets larger,conversation gives way to the parents’ efforts to control the loud n oise they make.That can have an important effect on the children.“In general,the more questionasking the parents do,the higher the children’s IQ scores,”Lewis says.“And the more children there are,the less questionasking there is.”The study also provides an explanation for why middle children often seem to have a harder time in life than their siblings(兄弟姐妹).Lewis found that in families with three or four children,dinner conversation is likely to center on the oldest child,who has the most to talk about,and the youngest,who needs the most attention.“Middle children are invisible,”says Lewis.“When you see someone get up from the table and walk around during dinner,chances are it’s the middle child.”There is,however,one thing that stops all conversation and prevents anyone from having attention.“When the TV is on,”Lewis says,“dinner is a nonevent.”33.The writer’s purpose in writing the text is to ________.A.show the relationship between parents and childrenB.teach parents ways to keep order at the dinner tableC.report on the findings of a studyD.give information about family problems34.Parents with large families ask fewer questions at dinner because ________.A.they are busy serving food to their childrenB.they are busy keeping order at the dinner tableC.they have to pay more attention to younger childrenD.they are tired out having prepared food for the whole family35.By saying “Middle children are invisible” in Paragraph 3,Lewis means that middle children ________.A.have to help their parents to serve dinnerB.get the least attention from the familyC.are often kept away from the dinner tableD.find it hard to keep up with other children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。
甘二中2018-2019学年度上学期期中考试高二英语试题本试卷分为第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:1.答卷前,将姓名、考号填在答题卡的密封线内。
2.答案必须写在答题卡上,在试题卷上答题无效。
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。
AAll over the world mothers and fathers teach their children manners.Other children may have mann ers that are not like yours.There are all kinds of manners.Many years ago, children who had good manners were seen and not heard.They kept quite quiet if grownups were talking.Today, wellmannered childr en have more freedom.Sometimes good manners in one place are bad manners in other places.Suppose you are a visitor in the land of Mongolia.Some friends ask you to eat with them.What kind of manners do they want you to have? They want you to give a loud “burp” after you finish eating.Burping would show that you like their food.In some countries, if you give a loud burp, you are told to say “excuse me, please.”In many places people like to eat together.But in some parts of Polynesia,it is bad manners to be seen eating all together.People show good manners by turning their backs on others while they eat.What are manners like in an East African town? The people try not to see you.They are being polite.You may see a friend.He may not see you at all.If you are polite, you will sit down beside him.You will wait until he finishes what he is doing.Then he will talk to you.Suppose you visit a friend in Arabia.You should walk behind the other tents until you come to his tent.If you pass in front of the other tents, you will be asked into each one.The people will ask you to eat with them.And it is bad manners if you say no.Manners are different all over the world.But it is good to know that all manners begin in the same way that people need ways to show that they want to be friends.21.People turn their backs on others while they eat in ________.A.MongoliaB.an East African townC.some parts of PolynesiaD.Arabia22.In an East African town, the people try not to see you.This is because ________.A.they are busy doing thingsB.they don’t want to talk with youC.it is good mannersD.they are waiting for you to talk with them23.Which of the following statements is TRUE?A.In Mongolia, you should say “excuse me” when you give a burp after dinner.B.Children with good manners are quiet.C.You should not walk behind the tents in Arabia.D.Manners are different all over the world.24.Sometimes good manners in one place are bad manners in other places.Which should be the supporting paragraph(s) to the idea?A.the fourth one B.the fifth one C.the sixth oneD.all of aboveBBody language or,as it is also known,nonverbal communication,is about all the things that people say and do without using words.Research suggests that more than 70% of communication occurs without people having to say a single word.Like language,the way we communicate nonverbally varies across cultures.But,unlike language,it can be very difficult to find out what the nonverbal rules are.It’s all very well known that there are differences in the ways that cultures work,but what can you do to try to prepare yourself for living and surviving in another culture?I think you’ve got two things to think about.I personally don’t fully accept the idea of “When in Rome,do as the Romans do”.I don’t thin k people expect you to completely adopt all of the things that they do.What I think that people would like is that you agree and understand it and that you do your best.One of the things you can do is actually explain to the other culture,saying,“Well,you know,actually we don’t normally kiss in my culture,so it’s a bit uncomfortable.” But then do your best,so it’s a learning process.Well,kissing is just one of many different ways of interaction that you need to know.You can get into difficult or embarrassing or even worse situations if you don’t know it.Eye contact,tone of voice,how close you stand,any touching,how many times you kiss,a long handshake,a short handshake it can go on and on.So I think,yes,you do need to get these correct and you need to have good observation skills.25.Body language is ________.A.not necessary B.not popularC.not worthless D.not involving words26.From the passage,it can be inferred ________.A.only grownups have body languageB.body language can be understood by all the people all the timeC.only the same body language has the same meaning all over the worldD.body languages are not the same because their cultures are different27.The passage is mainly to tell readers ________.A.body language is importantB.to find out the rules of body languageC.when in Rome,do as the Romans doD.to learn good observation skills28.According to the author,we know that ________.A.to learn body language,you should watch people and observe what they do B.to learn a language,you should prepare yourself for living in another culture C.when you learn a language,you must know the differences of different cultures D.to know body language,you should adopt all that other cultures doCThe Roar of NatureTsunamiThe 9.2 magnitude earthquake which caused the tsunami in the Indian Ocean on Boxing Day last year occurred at 7∶58 a.m.,95 miles off the west coast of Aceh,Indonesia.Eighteen minutes later,10metre high waves crashed ashore along a 500 milelong stretch of Aceh.Two hours later the tsunami hit Thailand and Malaysia and then Burma,Bangladesh,India,the Maldives,Sri Lanka,Kenya and Somalia.The final death toll is thought to be about 280,000,with tens of thousands more listed as missing.More than 1.8 million people lost their homes.What Is Tsunami?A tsunami is a chain of fast moving waves caused by a sudden strong quake in the ocean.They can be caused by earthquakes,volcanic eruptions,or even the collision of meteorites(陨星).Tsunamis are also incorrectly known as tidal waves,but unlike tidal waves they are not caused by changes in the tides.They are also most common around the edge of the Pacific,where more than half of the world’s volcanoes are found.These seismic surges c an attack coastlines,often with little or no warning.Rocks weighing as much as 20 metric tonnes have been pulled from sea walls and carried 180m inland.Wave PowerA tsunami can have a wavelength in excess of 100km and there may be an hour between them.They travel at great speeds across an ocean with hardly any energy losses and are barely noticeable out at sea.Over the deep Pacific Ocean,a tsunami travels at about 800Kph.If an earthquake happened in Los Angeles,a tsuna mi could hit Tokyo quicker than you could fly between the cities by jet.Strange Animal BehavioursTen days before giant waves slammed into Sri Lanka and India coastlines,wild and domestic animals seemed to know what was about to happen and fled to safety.Elephants screamed and ran for higher ground.Dogs refused to go outdoors.Zoo animals rushed into their shelters and could not be enticed(引诱) to come back out.29.What does the first part of the passage mainly tell us?A.The great speed of a tsunami.B.The serious destruction caused by the great power of a tsunami.C.The countries which were struck by a tsunami.D.The number of deaths caused by a tsunami.30.All the following can cause a tsunami EXCEPT ________.A.changes of the tidesB.volcanic eruptionsC.collision of meteoritesD.magnitu de earthquakes31.Which of the following is a characteristic of a tsunami?A.Having a lot of small waves linked together.B.The waves of a tsunami can be found in the distance.C.The power of the waves becomes stronger and stronger as a tsunami travels.D.The waves of a tsunami travel extremely fast.32.What can we learn from the strange animal behaviours?A.Animals are cleverer than human beings.B.More animals should be raised to prevent a tsunami.C.They might be used to predict a tsunami.D.Animals in the zoos should be watched carefully.DAs any homemaker who ha s tried to keep order at the dinner table knows,there is far more to family meal than food.Sociologist Michael Lewis has been studying 50 families to find out just how much more.Lewis and his coworkers carried out their study by videotaping(录像)the families while they ate ordinary meals in their own homes.They found that parents with small families talk actively with each other and their children.But as the number of children gets larger,conversation gives way to the parents’ efforts to control the loud n oise they make.That can have an important effect on the children.“In general,the more questionasking the parents do,the higher the children’s IQ scores,”Lewis says.“And the more children there are,the less questionasking there is.”The study also provides an explanation for why middle children often seem to have a harder time in life than their siblings(兄弟姐妹).Lewis found that in families with three or four children,dinner conversation is likely to center on the oldest child,who has the most to talk about,and the youngest,who needs the most attention.“Middle children are invisible,”says Lewis.“When you see someone get up from the table and walk around during dinner,chances are it’s the middle child.”There is,however,one thing that stops all conversation and prevents anyone from having attention.“When the TV is on,”Lewis says,“dinner is a nonevent.”33.The writer’s purpose in writing the text is to ________.A.show the relationship between parents and childrenB.teach parents ways to keep order at the dinner tableC.report on the findings of a studyD.give information about family problems34.Parents with large families ask fewer questions at dinner because ________.A.they are busy serving food to their childrenB.they are busy keeping order at the dinner tableC.they have to pay more attention to younger childrenD.they are tired out having prepared food for the whole family35.By saying “Middle children are invisible” in Paragraph 3,Lewis means that middle children ________.A.have to help their parents to serve dinnerB.get the least attention from the familyC.are often kept away from the dinner tableD.find it hard to keep up with other children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。
精品K12教育教学资料 甘二中2018-2019学年度上学期期中考试 高二数学试题(文科) 本试卷分为第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:1.答卷前,将姓名、考号填在答题卡的密封线内。
2.答案必须写在答题卡上,在试题卷上答题无效。
第Ⅰ卷(选择题共60分) 一、 选择题(共12小题,每小题5分,共60分) 1.直线30x y +-=的倾斜角为 ( ) A .450 B .1200 C .1350 D .1500 2.下列几何体中不是旋转体的是 ( )
3.若直线a 不平行于平面α,则下列结论成立的是( ) A.α内所有的直线都与a 异面 B.α内不存在与a 平行的直线 C.α内所有的直线都与a 相交 D.直线a 与平面α有公共点
4.下列说法正确的是 ( ) ①圆台可以由任意一个梯形绕其一边旋转形成; ②用任意一个与底面平行的平面截圆台,截面是圆面; ③在圆台上、下底面圆周上各取一点,则这两点的连线是圆台的母线; ④圆柱的任意两条母线平行,圆锥的任意两条母线相交,圆台的任意两条母线延长后相交. A .②④ B .①② C .①③ D .②③
5.已知平面α内有无数条直线都与平面β平行,那么( ) A.α∥β B.α与β相交 C.α与β重合 D.α∥β或α与β相交
6.已知直线210x ay +-=与直线(31)10a x y ---=垂直,则a 的值为( ) A . 0 B . 1 C .16 D .13 密 封 线
7.已知某几何体的三视图如图所示,其中正视图、侧视图均是由三角形与半圆构成,俯视图由圆与内接三角形构成,根据图中的数据可得此几何体的体积为 ( )
A .
2π3+12 B .4π3+16
C .
2π6+16 D .2π3+12
8. 已知▱ABCD 的三个顶点的坐标分别是A (0,1),B (1,0),C (4,3),则顶点D 的坐标为( )
A .(3,4)
B .(4,3)
C .(3,1)
D .(3,8) 9.直线2610()kx y k k R +-+=∈经过定点P ,则点为P ( )
A . (1,3)
B .(3,1)-
C .(3,1)
D (1,3)--
10.直线l 过点A (3,4)且与点B (-3,2)的距离最远,那么l 的方程为( )
A .3x -y -13=0
B .3x +y -13=0
C .3x -y +13=0
D .3x +y +13=0
11.等腰直角三角形ABC 的直角顶点为C (3,3),若点A (0,4),则点B 的坐标可能是( )
A .(2,0)或(4,6)
B .(2,0)或(6,4)
C .(6,4)
D .(0,2)
12.一个球与一个上、下底面为正三角形,侧面为矩形的棱柱的三个侧面和两个底面都相切,已知这个球的体积为32π3
,那么这个正三棱柱的体积是 ( ) A .96 3 B .16 3 C .24 3 D .48 3
第‖卷(选择题共60分)
二、填空题(共4小题,每小题5分,共20分)
13、.a 、b 是异面直线,则①过a 至少有一个平面平行于b;②过a 至少有一个平面垂直于b;③至多有一条直线与a 、b 都垂直;④至少有一个平面与a 、b 都平行,其中正确的是__________
14、如果三个球的半径之比是1∶2∶3,那么最大球的表面积是其余两个球的表面积之和的____倍.
15、 10.若过点P(1-a,1+a)与点Q(3,2a)的直线的倾斜角是钝角,则实数a的取值范围是________.
16、已知直线l的倾斜角为135°,且经过点P(1,1),点A(3,4)关于直线l的对称点A′的坐标为________.
三、解答题(共6小题,其中17题10分,其余每小题12分,共70分)
17、求满足下列条件的直线方程:
(1)经过两条直线2x-3y+10=0和3x+4y-2=0的交点,且垂直于直线3x-2y+4=0;
(2)经过两条直线2x+y-8=0和x-2y+1=0的交点,且平行于直线4x-3y-7=0
18、一条光线从点A(2,3)出发,经y轴反射后,通过点B(4,-1),求入射光线和反射光线所在的直线方程.
19、设P是△ABC所在平面外一点,P到A、B、C的距离相等,∠BAC为直角.
求证:平面PCB⊥平面ABC.
20、已知点A(m-1,2),B(1,1),C(3,m2-m-1).
(1)若A,B,C三点共线,求实数m的值;
(2)若AB⊥BC,求实数m的值.
21、如图所示,四棱锥P—ABCD中,底面ABCD是矩形,PA⊥平面ABCD,M、N分别是AB、PC 的中点,PA=AD=a.
求证:(1)MN∥平面PAD (2)平面PMC⊥平面PCD.
22、已知点P(2,-1).
(1)求过点P且与原点O的距离为2的直线的方程;
(2)求过点P且与原点O的距离最大的直线的方程,并求出最大距离;
(3)是否存在过点P且与原点O的距离为6的直线?若存在,求出该直线的方程;若不存在,请说明理由.
高二文科数学试答案
13. ①④ 14. 95
15. -2<a <1 16. (-2,-1) 17、(1)2x+3y-2=0
(2)4x-3y-6=0
18、一条光线从点A (2,3)出发,经y 轴反射后,通过点B (4,-1),求入射光线和反射光线所在的直线方程.
解:点A (2,3)关于y 轴的对称点为A ′(-2,3),点B (4,-1)关于y 轴的对称点为B ′(-4,-1).
则入射光线所在直线的方程为AB ′:y +13+1=x +42+4
, 即2x -3y +5=0.
反射光线所在直线的方程为A ′B :y +13+1=x -4-2-4
, 即2x +3y -5=0.
19设P 是△ABC 所在平面外一点,P 到A 、B 、C 的距离相等,∠BAC 为直角.
求证:平面PCB⊥平面ABC.
证明:如图所示,取BC 的中点D ,连结PD 、AD ,
∵D 是Rt△ABC 的斜边BC 的中点,
∴BD=CD=AD.又PA=PB=PC ,PD 是公共边,
∴∠PDA=∠PDB=∠PDC=90°.
∴PD⊥BC,PD⊥DA,PD⊥平面ABC.
又PD 平面PCB,
∴平面PCB⊥平面ABC.
20已知点A (m -1,2),B (1,1),C (3,m 2
-m -1).
(1)若A ,B ,C 三点共线,求实数m 的值;
(2)若AB ⊥BC ,求实数m 的值.
解:(1)因为A ,B ,C 三点共线,且x B ≠x C ,则该直线斜率存在,则k BC =k A B ,即
m 2-m -22=1m -2
,解得m =1或1-3或1+ 3. (2)由已知,得k BC =m 2-m -22,且x A -x B =m -2.
①当m -2=0,即m =2时,直线AB 的斜率不存在,此时k BC =0,于是AB ⊥BC ;
②当m -2≠0,即m ≠2时,k AB =
1m -2, 由k AB ·k BC =-1,得1m -2·m 2-m -22
=-1, 解得m =-3.
综上,可得实数m 的值为2或-3.
21、如图2-5所示,四棱锥P —ABCD 中,底面ABCD 是矩形,PA⊥平面ABCD ,M 、N 分别是AB 、PC 的中点,PA=AD=a.
求证:(1)MN∥平面PAD ;
(2)平面PMC⊥平面PCD.
证明:如图所示,
(1)设PD 的中点为E ,连结AE 、NE ,由N 为PC 的中点,知EN
21DC. 又四边形ABCD 是矩形,∴DC AB. ∴EN 2
1AB.又M 是AB 的中点, ∴EN AM.∴AMNE 是平行四边形.
∴MN∥AE.而AE ⊂平面PAD ,NM 平面PAD,∴MN∥平面PAD. (2)∵PA=A D ,∴AE⊥PD.又∵PA⊥平面ABCD ,CD ⊂平面ABCD ,
∴CD⊥PA,而CD⊥AD,
∴CD⊥平面PAD.∴CD⊥AE.
∵PD∩CD=D,∴AE⊥平面PCD. ∵MN∥AE,∴MN⊥平面PCD.
又MN 平面PMC ,
∴平面PMC⊥平面PCD.
22、已知点P (2,-1).
(1)求过点P 且与原点O 的距离为2的直线的方程;
(2)求过点P 且与原点O 的距离最大的直线的方程,并求出最大距离;
(3)是否存在过点P 且与原点O 的距离为6的直线?若存在,求出该直线的方程;若不存在,请说明理由.
解:(1)①当直线的斜率不存在时,方程x =2符合题意.
②当直线的斜率存在时,设斜率为k ,则直线方程为
y +1=k (x -2),即kx -y -2k -1=0. 根据题意,得|2k +1|k 2+1
=2,解得k =34. 则直线方程为3x -4y -10=0.
故符合题意的直线方程为x -2=0或3x -4y -10=0.
(2)过点P 且与原点的距离最大的直线应为过点P 且与OP 垂直的直线.
则其斜率k =2,所以其方程为y +1=2(x -2), 即2x -y -5=0. 最大距离为 5.
(3)不存在.理由:由于原点到过点(2,-1)的直线的最大距离为5,而6>5,故不存在这样的直线.。