2017高考卷b卷,2017年高考试题

1.2017江苏高考化学B线

2.《荀子·劝学》中强调了积累的重要

3.2017高考地理典型例题

4.2017年数学高考卷子的六道大题

灵活性加大了。

2017年江苏高考数学试题延续了前几年的命题风格，注重基础，贴近课本。试题在立足基础、全面考查的前提下，注重能力的考查，体现了能力立意的命题原则。试卷结构稳定，知识点广，重点突出，层次分明，逐步深入，使学生解题入手容易。

注重基础，突出主干：数学试题紧扣教材，具有“上手容易”的特点。填空题第1—10题、解答题15、16题及附加题第21题的A、B、C、D 题都是容易题，学生适当进行运算就可以拿到这些基本分。填空题第11—14题，综合性就大了一些，思维含量较高，注重对数学思想方法的考查，但解决问题的思路和方法还是常见的，会有较好的区分度。解答题的第17题为解析几何题，改变了以往大运算量，学生都能动手做，并且能够得到较好的分数。第18题与平面几何知识有关联，关键是要将问题进行转化，突出了对数学思想方法的考查，如能增强些实际应用性，就更能体现应用价值。附加题的第22题，也是老师、学生预想中的试题，空间向量运算过关得分就很自然。解答题第19、20题和附加题第23题这样的把关题，都采用分层设问，各个小题的难度层层递进，螺旋上升。起点适当，所有的学生都能得到分，不同层次的考生均可有所收获。

试题在强调“通性”“通法”的前提下，渗透了中学数学知识中所蕴含的基本数学思想方法。如第11、12、13、14、16、17、20题的数形结合思想；第8、9、10、11、12、13、14、16、17、20题的函数方程思想；第11、14、16、20题的分类讨论思想；第5、6、7、13、15、19题的转化化归思想。

能力立意，适度创新：2017年江苏高考数学试题在重视考查基础的同时，突出对数学基本能力和综合能力、创新能力的考查。试题对空间想象、抽象概括、推理论证、运算求解、数据处理这五项数学基本能力的考查贯穿始终。例如，第7题就把函数的定义域、解一元二次不等式和几何概型进行有机综合；第12题就把平面向量的基本定理、三角函数、解三角形融合在了一起；第13题就把直线和圆、向量数量积和线性规划等联系在一起，第14题是对函数性质的综合考查。第19、20、23题都具有较高的思维要求，能够考查学生综合、灵活运用所学的数学知识和思想方法，创造性地解决问题的能力。特别是第19题，将新定义的“P（k）数列”和等差数列有序结合，有效检测了学生的学习潜能。

试题编制，注重解题思路方法的多样性和入口的宽泛性，既保证了各个能力层次的考生有所收获，又能让综合能力优秀的考生脱颖而出。

2017江苏高考化学B线

　阅读是外语学习者获取语言知识和提高语言能力的主要途径,阅读理 解能力是衡量学习者外语水平的重要指标。一起做一下阅读理解训练吧。下面是我为大家推荐的2017高考英语真题阅读理解总结，仅供大家参考!

　2017高考英语真题阅读理解总结一

　I found out one time that doing a favor for someone could get you into a lot of trouble. I was in the eighth grade at the time, and we were having a final test. During the test, the girl sitting next to me whispered something, but I didn?t understand. So I leaned over her way and found out that she was trying to ask me if I had an extra pen. She showed me that hers was out of ink and would not write. I happened to have an extra one, so I took it out of my pocket and put it on her desk.

　Later, after the test papers had been turned in, the teacher asked me to stay in the room when all the other students were dismissed. As soon as we were alone she began to talk to me about what it meant to grow up; she talked about how important it was to stand on your own two feet and be responsible (负责任) for your own acts. For a long time, she talked about honesty and emphasized the fact that when people do something dishonest, they are really cheating themselves. She made me promise that I would think seriously about all the things she had said, and then she told me I could leave. I walked out of the room wondering why she had chosen to talk to me about all those things.

　Later on, I found out that she thought I had cheated on the test. When she saw me lean over to talk to the girl next to me, it looked as if I was copying answers from the girl?s test paper. I tried to explain about the pen, but all she could say was it seemed very very strange to her that I hadn?t talked of anything about the pen the day she talked to me right after the test. Even if I tried to explain that I was just doing the girl a favor by letting her use my pen, I am sure she continued to believe that I had cheated on the test.

　1. The story took place exactly ____ .

　A. in the teacher?s office B. in an exam room

　C. in the school D. in the language lab

　2. The girl wanted to borrow a pen, because ____ .

　A. she had not brought a pen with her B. she had lost her own on her way to school

　C. there was something wrong with her wn D. her own had been taken away by someone

　3. The teacher saw all this, so she asked the boy ____ .

　A. to go on writing his paper B. to stop whispering

　C. to leave the room immediately D. to stay behind after the exam

　4. The thing(s) emphasized in her talk was(were) ____ .

　A. honesty B. sense of duty C. seriousness D. all of the above

　5. The boy knew everything ____ .

　A. the moment he was asked to stay behind B. when the teacher started talking about honesty

　C. only some time later D. when he was walking out of the room

　I found out one time that doing a favor for someone could get you into a lot of trouble. I was in the eighth grade at the time, and we were having a final test. During the test, the girl sitting next to me whispered something, but I didn?t understand. So I leaned over her way and found out that she was trying to ask me if I had an extra pen. She showed me that hers was out of ink and would not write. I happened to have an extra one, so I took it out of my pocket and put it on her desk.

　我发现一个时间，做一个人能给你带来很多麻烦。当时我在第八年级，我们有一个最后的考验。在测试期间，坐在我旁边的女孩低声说了些什么，但我不明白。我倚在她的方式，发现她想问我是否有额外的笔。她发现她是我的墨水用完，不会写。我碰巧有一个额外的，所以我把它从我的口袋里，放在她的办公桌上。

　Later, after the test papers had been turned in, the teacher asked me to stay in the room when all the other students were dismissed. As soon as we were alone she began to talk to me about what it meant to grow up; she talked about how important it was to stand on your own two feet and be responsible (负责任) for your own acts. For a long time, she talked about honesty and emphasized the fact that when people do something dishonest, they are really cheating themselves. She made me promise that I would think seriously about all the things she had said, and then she told me I could leave. I walked out of the room wondering why she had chosen to talk to me about all those things.

　后来，已经变成了试卷，老师让我呆在房间里时，所有其他的学生被开除。当我们单独在一起，她开始跟我谈什么是成长;她说，站在自己的两只脚，并负责是多么重要(负责任)为自己的行为。很长一段时间，她谈到诚实，并强调这一事实，当人们做一些不诚实的，他们真的欺骗自己。她让我保证，我会认真考虑所有的事情她说，然后她告诉我我可以离开。我走出房间问她为什么选择了跟我说所有这些事情。

　Later on, I found out that she thought I had cheated on the test. When she saw me lean over to talk to the girl next to me, it looked as if I was copying answers from the girl?s test paper. I tried to explain about the pen, but all she could say was it seemed very very strange to her that I hadn?t talked of anything about the pen the day she talked to me right after the test. Even if I tried to explain that I was just doing the girl a favor by letting her use my pen, I am sure she continued to believe that I had cheated on the test.

　后来，我发现她认为我在考试中作弊了。当她看到我瘦了跟我旁边的女孩，好像我是从复制的女孩的试卷答案。我试图解释的笔，但她可以说是它似乎非常奇怪，她说我还没有谈到任何关于笔的一天，她跟我就在考试后。即使我试图解释说我只是做女孩的忙，让她用我的笔，我相信她仍然认为，我在考试中作弊了。

　2017高考英语真题阅读理解总结二

　To be a good teacher, you need some of the gifts of a good actor; you must be able to hold the attention and interest of your audience; you must be a clear speaker, with a good, strong, pleasing voice which is fully under your control; and you must be able to act what you are teaching, in order to make its meaning clear.

　Watch a good teacher, and you will see that he does not sit still before his class： he stands the whole time he is teaching; he walks about, using his arms, hands and fingers to help him in his explanations, and his face to express feelings. Listen to him, and you will hear the loudness, the quality (音色) and the musical note of his voice always changing according to what he is talking about.

　The fact that a good teacher has some of the gifts of a good actor doesn?t mean that he will indeed be able to act well on the stage, for there are very important differences between the teacher?s work and the actor?s. The actor has to speak words which he has learnt by heart; he has to repeat exactly the same words each time he plays a certain part, even his movements and the ways in which he uses his voice are usually fixed beforehand (预先). What he has to do is to make all these carefully learnt words and actions seem natural on the stage.

　A good teacher works in quite a different way. His audience takes an active part in his play： they ask and answer questions, they obey orders, and if they don?t understand something, they say so. The teacher therefore has to meet the needs of his audience, which is his class. He cannot learn his part by heart, but must invent it as he goes along.

　I have known many teachers who were fine actors in class but were unable to take part in a stage-play because they could not keep strictly to what another had written.

　1. What is the text about ?

　A. How to become a good teacher.

　B. What a good teacher should do outside the classroom.

　C. What teachers and actors could learn from each other.

　D. The similarities(相似处) and differences between a teacher?s work and an actor?s.

　2. The word ?audience? in the fourth paragraph means ____ .

　A. students B. people who watch a play

　C. people who not on the stage D. people who listen to something

　3. A good teacher ____ .

　A. knows how to hold the interest of his students B. must have a good voice

　C. knows how to act on the stage D. stands or sits still while teaching

　4. In what way is a teacher?s work different from an actor?s ?

　A. The teacher must learn everything by heart .

　B. He knows how to control his voice better than an actor .

　C. He has to deal with unexpected situations .

　D. He has to use more facial expressions .

　5. The main difference between students in class and a theatre audience is that ____.

　A. students can move around in the classroom

　B. students must keep silent while theatre audience needn?t

　C. no memory work is needed for the students

　D. the students must take part in their teachers? plays

　6. Why is it that some good teachers are unable to play well on the stage ?

　A. Nobody has taught them how to act on the stage .

　B. Their audiences are different .

　C. It is impossible for them to do so much memory work .

　D. They are not used to repeating exactly the same words .

　7. Which of the following is true ?

　A. Teachers have to learn by heart what they are going to say in class .

　B. A teacher cannot decide beforehand what exactly he is going to say in class .

　C. A teacher must speak louder than an actor .

　D. A teacher must have a better memory than an actor .

　To be a good teacher, you need some of the gifts of a good actor; you must be able to hold the attention and interest of your audience; you must be a clear speaker, with a good, strong, pleasing voice which is fully under your control; and you must be able to act what you are teaching, in order to make its meaning clear.

　要成为一个好老师，你需要一些好演员的天赋;你必须能够抓住观众的注意力和兴趣;你必须是一个明确的扬声器，具有良好的，强有力的，悦耳的声音完全在你的控制之下;你必须能够按照你的教学，以明确其含义。

　Watch a good teacher, and you will see that he does not sit still before his class： he stands the whole time he is teaching; he walks about, using his arms, hands and fingers to help him in his explanations, and his face to express feelings. Listen to him, and you will hear the loudness, the quality (音色) and the musical note of his voice always changing according to what he is talking about.

　看一个好老师，你会看到，他不坐他的课前，他代表整个时间他是教学;他走，用他的胳膊，手和手指来帮助他解释，他的脸表达感情。听他的，你会听到声音，质量(音色)和音乐注意到他的声音总是按照他所说的。

　The fact that a good teacher has some of the gifts of a good actor doesn?t mean that he will indeed be able to act well on the stage, for there are very important differences between the teacher?s work and the actor?s. The actor has to speak words which he has learnt by heart; he has to repeat exactly the same words each time he plays a certain part, even his movements and the ways in which he uses his voice are usually fixed beforehand (预先). What he has to do is to make all these carefully learnt words and actions seem natural on the stage.

　事实上，一个好老师有一些好演员并不意味着礼物，他一定能够在舞台上表演好，有教师和演员的工作的。他说的话他熟记于心的很重要的差别;他必须准确地重复同样的话每次他扮演某个角色，甚至他的动作，他用自己的发音方式都是事先确定的(预先)。他所要做的是让这些用心学习的言语和行动似乎自然的舞台上。

　A good teacher works in quite a different way. His audience takes an active part in his play： they ask and answer questions, they obey orders, and if they don?t understand something, they say so. The teacher therefore has to meet the needs of his audience, which is his class. He cannot learn his part by heart, but must invent it as he goes along.

　一个好老师的工作相当不同的方式。他的听众积极参与他的表演：他们提问和回答问题，他们服从命令，如果他们不理解的东西，他们这么说。老师必须满足听众的需要，这是他的学生。他不能了解他的心，但必须把它作为他走。

　I have known many teachers who were fine actors in class but were unable to take part in a stage-play because they could not keep strictly to what another had written.

　我知道有许多老师在课堂上是优秀的演员却不能在舞台上扮演角色，因为他们不能严格按照别人所写的。

　2017高考英语真题阅读理解总结三

　The Doctor?s Call

　There was ice on the road, and the doctor?s car hit a tree and turned over three times. To his surprise, he was not hurt. He got out of the car and walked to the nearest house. He wanted to telephone the garage (汽车修理站) for help. The door was opened by one of his patients.

　?Oh, Doctor.? she said, ?I have only just telephoned you. You must have a very fast car. You have got here very quickly indeed. There has been a very bad accident (事故) in the road outside. I saw it through the window. I am sure the driver will need your help.?

　1. Where was the doctor going in his car?

　A. We don?t know. B. To a patient?s home.

　C. To a garage. D. To his own home.

　2. Which of the following was the cause of the accident?

　A. Careless driving. B. A tree had fallen across the road.

　C. A slippery (滑) road. D. There was a thick fog.

　3. The doctor went to the house because

　A. he knew one of his patients lived there.

　B. he had received a call to go there.

　C he wanted to use the telephone.

　D. he was injured (受伤) and could walk no further.

　4. Why did the woman patient telephone the doctor?

　A. She needed medical treatment.

　B. She believed somebody else needed a doctor.

　C. To ask how quickly the doctor could come.

　D. To ask whether the doctor was coming on his regular visit.

　5. How did the woman feel on opening the door and seeing the doctor?

　A. She had been expecting the doctor, but was surprised that he had come so quickly.

　B. She had not expected the doctor and wondered why he had come.

　C. She felt glad that the doctor was not hurt in the accident.

　D. She was alarmed (惊慌) at seeing the doctor in a bad state after the accident.

　6. Which of the following is the most likely reply the doctor gave the woman patient at the end

　of the story?

　A. ?Yes, he does need help-your help, not mine.?

　B. ?Another accident? I?ve just had an accident myself!?

　C. ?I got your call and rushed over. I hope I?m not too late.

　D. ?I didn?t get your call. But I?m here and hope I can help.?

　路上有冰，和医生的车撞上一棵树，翻了三倍。让他吃惊的是，他没有受伤。他下了车，走到最近的房子。他想打电话车库(汽车修理站)帮助。门被他的一个病人开。

　?哦，医生。?她说，?我刚刚给你打电话。你必须有一个非常快的车。你有在这里的确很快。有一个非常坏的事故(事故)在道路以外。我透过窗户看见它。我相信司机会需要你的帮助。?

《荀子·劝学》中强调了积累的重要

分数线是根据大学预定招生人数，从前面掐下来的，比如在某省某专业只招收5人，那就取这个省报这个专业的分数的前5名，然后发布录取分数线

专业的录取分数线绝对不会比这个大学最低录取分数线低，如果有的话，那一定是招收的国防生或是其他的特招生，他们的录取分数线通常要比较低，但不计入大学录取分数线中

2017高考地理典型例题

随着2017年高考语文科目的结束，家长和考生最想知道的无非是高考语文试题的答案，下面我为大家提供2017年全国高考卷三语文试卷的试题和答案，供家长和学生们参考，祝愿应届高考学子取得理想的成绩。

16.补写出下列句子中的空缺部分。(5分)

(1)《荀子·劝学》中强调了积累的重要。以积土成山、积水成渊可以兴风雨、生蛟龙设喻，引出“_________________,_____________________,__________________”的观点。

(2)杜甫《茅屋为秋风所破歌》中，“__________________,_________________”两句写狂风停止之后云层变得墨黑，天色马上暗下来，引出下文屋破又遭连夜雨的境况。

答案：

(1)积善成德而神明自得圣心备焉

(2)俄顷风定云墨色，秋天漠漠向昏黑

17.下列各句中加点成语的使用，全都不正确的一项是(3分)

①促进科研成果转移转化是实施创新驱动发展战略的重要任务，我们应该制订一套行之有效的激励机制和创新协同机制。

②小庄从小就对机器人玩具特别感兴趣，上学后喜欢收集机器人模型，通过各种途径得到的模型已经汗牛充栋，整整一间屋都摆满了。

③约翰逊的学术方法虽比较新颖，但其学术成果得到学术界公认的却不是很多，再加上其追随者大都等而下之，以致他的学术地位一直不高。

④张家界独特的自然景观被列入《世界自然遗产名录》，徜徉其间，峰峦叠峰，峪壑幽深，溪流澄碧，让人乐不思蜀。

⑤近年来，有关部门采取了一系列措施强化虚拟广告的监管，使得滥竽充数的广告得到了一定程度的遏制。

⑥丹·罗斯嘉德发明的“雾霾塔”是一种利用静电吸附尘粒原理的环保装置，脏空气滔滔不绝地从塔顶进入后，能在塔中间得到净化。

A.①③⑤ B.①④⑥

C.②③④ D.②⑤⑥

此题答案为 D

18.下列各句中，没有语病的一句是(3分)

A. 今天参观的石窟造像群气势宏伟，内容丰富，堪称当时的石刻艺术之冠，被誉为中国古代雕刻艺术的宝库。

B. 传统文化中的餐桌礼仪是很受重视的。老人常说，看一个人的吃相，往往会暴露他的性格特点和教养情况。

C.在那些父母性格温和、情绪平和的孩子身上，往往笑容更多，幸福感更强，抗挫折能力更突出，看待世界也更加宽容。

D. 经过几代航天人的艰苦奋斗，中国的航天事业开创了以“两弹一星”、载人航天、月球探测为代表的辉煌成就。

此题答案为 A

以上为2017全国高考卷三语文试卷部分试题及答案，仅供参考。

2017年数学高考卷子的六道大题

近几年高考地理命题趋势是什么呢?概括起来就是:凸显地理学科特色,强调对地理思维能力的考查;着重考查主干知识;试题与生产、生活实际相结合的趋势明显;对考生描述、分析、阐释、论证地理问题的能力要求越来越高等。下面是我为你整理关于2017高考地理典型例题的内容，希望大家喜欢!

2017高考地理典型例题 2017高考地理典型例题答案

　1.A解析新加坡位于马六甲海峡边缘，是沟通太平洋与印度洋的咽喉要道，地理位置优越。

　2.B 解析从铁路线的规划来看，马来西亚东海岸衔接铁道可以连接马来半岛的东西两岸，可以从陆地上避开新加坡，减轻对新加坡的过度依赖。

　3.C 解析两人必须同时处于夜晚才能同时观月。据图可以确定吉隆坡所在的经度为东7区。而伦敦为中时区，当北京时间11月15日3时时，吉隆坡为凌晨2时，伦敦为19时，都处于夜晚，可以同时观月。

　4.C解析由材料得知，从公共服务巾心的m行距离角度探索城市空间增长的低碳化模式，m行距离越短，化石燃料使用量越少越环保。

　5.B 解析双城模式意味着新组团与城市规模功能都处于同一水平，应做大做强，满足城市规模增长的需求。

　6.D解析选项A、B、C为新城增长模式的新建组团特点，选项D为双城增长模式的新建组团特点。

　7.A解析迎水侧的洲头河水流速快，沉积物颗粒较粗，A正确;侧翼河水分流，由于狭管效应，流速较快，细小的颗粒无法沉积，而是沉积了颗粒较大的砂砾物质，B错;尾部河水从两侧汇集，水的动力能量减弱，沉积了颗粒细小的淤泥层，C错;因江心洲是洪水期和枯水期周朔替出现而形成的，沉积物的颗粒大小也相互交叠，不是逐渐变化的，D错。

　8.C解析三峡蓄水后，泥沙淤积到库区，下泄的泥沙减少，江心洲的面积趋于缩小，A错;南水北调东线从扬州调水，对上游方向的南京没有影响，B错;农垦活动围垦了大量湿地，江心洲的湿地大量锐减，C正确;传统工业的退出，是江心洲产业活动的升级，被生态科技类的产业活动所取代，是江心洲可持续发展的标志，D错。

　9.A解析滨江堤岸本来是为了防洪、灌溉而高筑的沿河大堤，破坏了原有的生态功能，并成为市民滨江活动的阻力，应该通过合理的绿化和景观构建，增加台阶、斜坡与外部连接，提高其可达性，A对;工业遗址等人文景观可以保留以构建文化特色景观，凸显曾经的文化元素，B错;东侧岸线较窄，与市区只有狭窄的江水相隔，二者关系密切，应该通过桥隧联系两岸，相互融合，C错;西侧破碎的湿地之间需要通过绿道串联成线，形成一个可以互通的整体，为更多的人提供服务，而不是相互独立，D错。

　10.B解析三地都位于北回归线以北，三地阳坡都为南坡，北坡都为阴坡。据图可知丙地阴坡林线要高于广东省平均值;甲地阳坡林线应低于乙地南坡林线;纬度最高的山是丙山，其阳坡林线较低;经度数值最小的是乙山，其阴坡林线较丙山低。

　11.B解析A选项巾，乙山纬度不是最低的，气温并不比其他山地高;B选项中，乙山位于背风坡，风力较弱，局地多雾，蒸发小，土壤湿度大，适于植被生长;C选项中，西北季风属于干冷气流;D选项，光照强，利于植被生长。

　36.(1)①纬度较低，夏季高温;②地势较低，山脉阻挡受冬季风影响较小，冬季温暖;③地处云贵高原，高粱生长期光照充足;④亚热带季风气候，降水适中，适宜高粱生长。(每点2分，任答3点得6分)

　(2)①酒厂位于赤水河上游，水质清纯，富含矿物质;②特殊的河谷地形和局地小气候(湿热气候)利于微生物发酵;⑧特珠的水土条件生长的糯高粱品质优良。(每点2分，共6分)

　(3)①接近优质酿酒原料(糯高粱)地、水源量大且质优;②当地酿酒历史悠久，多技术熟练的酿酒工人;

　③国内外市场需求量大;④公路运输便利，基础设施完善;⑤茅台酒的品牌影响大。(每点2分，任答4点得8分)

　(4)赞同：①有利于优化茅台镇的产业结构;②提供更多的就业就会;③增加地方财政收入;④改善茅台镇的生态环境。

　反对：①茅台镇旅游基础设施落后;②地处偏远地区乡镇，远离市场、交通不便;③酿酒的独特行业特征使有些环节可欣赏性不强。(赞同或者不赞同，任答2点可得4分，其他答案合理即可得分。只答赞同或者不赞同不得分。)

　37.(1)①火地岛岛上山脉阻挡西风，西侧为迎风坡，降水较多，气候湿润，形成温带阔叶林景观;②东侧为背风坡，降水较少，气候较干，形成温带草原和荒漠景观。(每点3分，共6分)

　(2)①该海域有南极环流与西风漂流流经，海水扰动带来海底大量无机盐分;②该海域浮游生物大量繁殖，为磷虾提供充足的食物供应;③该海域受西风漂流和巴西暖流的能量交换影响，形成适宜的海水温度、盐度;④适宜生存的海域面积大;⑤该海域同类别生物数量较少，处于食物链的最底层，所似数量庞大。(每点2分，共10分)

　(3)①狂风急浪;②海巾浮冰和冰山;③酷寒冰冻等。(每点2分，共6分)(其他答案合理亦可酌情给分)

　42.体验活动：①寻找湿地明星?寻找具有代表性的湿地鸟类，了解湿地在维护生物多样性方面的作用;②爱心交流活动?呼吁人们关爱湿地、保护湿地;③游高原湿地，冈理想希望?将白己的理想与愿望通过湿地传递;④印象湿地?记录湿地美景，走进湿地艺术;⑤湿地运动?体验湿地康体活动等。(每点2分，任答2点得4分)

17.（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

（1）求sinBsinC;

（2）若6cosBcosC=1,a=3,求△ABC的周长

18.（12分）

如图，在四棱锥P-ABCD中，AB//CD，且

(1)证明：平面PAB⊥平面PAD；

(2)若PA=PD=AB=DC,,求二面角A-PB-C的余弦值.

19．（12分）

为了监控某种零件的一条生产线的生产过程，检验员每天从该生产线上随机抽取16个零件，并测量其尺寸（单位：cm）．根据长期生产经验，可以认为这条生产线正常状态下生产的零件的尺寸服从正态分布N(μ,σ?)．

（1）假设生产状态正常，记X表示一天内抽取的16个零件中其尺寸在(μ–3σ,μ+3σ)之外的零件数，求P(X≥1)及X的数学期望；学科&网

（2）一天内抽检零件中，如果出现了尺寸在(μ–3σ,μ+3σ)之外的零件，就认为这条生产线在这一天的生产过程可能出现了异常情况，需对当天的生产过程进行检查．

（ⅰ）试说明上述监控生产过程方法的合理性；

（ⅱ）下面是检验员在一天内抽取的16个零件的尺寸：

9.95

10.12

9.96

9.96

10.01

9.92

9.98

10.04

10.26

9.91

10.13

10.02

9.22

10.04

10.05

9.95

经计算得，，其中xi为抽取的第i个零件的尺寸，i=1,2,…,16．

用样本平均数作为μ的估计值，用样本标准差s作为σ的估计值，利用估计值判断是否需对当天的生产过程进行检查？剔除之外的数据，用剩下的数据估计μ和σ（精确到0.01）．

附：若随机变量Z服从正态分布N(μ,σ2)，则P(μ–3σ<Z<μ+3σ)=0.997?4，0.997?416≈0.959?2，．

20.（12分）

已知椭圆C：x?/a?+y?/b?=1（a>b>0），四点P1（1,1），P2（0,1），P3（–1，√3/2），P4（1，√3/2）中恰有三点在椭圆C上.

（1）求C的方程；

（2）设直线l不经过P2点且与C相交于A，B两点.若直线P2A与直线P2B的斜率的和为–1，证明：l过定点.

21.（12分）

已知函数=ae?^x+（a﹣2）e^x﹣x.

（1）?讨论的单调性；

（2）?若有两个零点，求a的取值范围.

（二）选考题：共10分。

请考生在第22、23题中任选一题作答，如果多做，则按所做的第一题计分。

22．[选修4-4，坐标系与参数方程]（10分）

在直角坐标系xOy中，曲线C的参数方程为（θ为参数），直线l的参数方程为.

（1）若a=-1，求C与l的交点坐标；

（2）若C上的点到l的距离的最大值为，求a.

23.[选修4—5：不等式选讲]（10分）

已知函数f（x）=–x?+ax+4，g(x)=│x+1│+│x–1│.

（1）当a=1时，求不等式f（x）≥g（x）的解集；

（2）若不等式f（x）≥g（x）的解集包含[–1，1]，求a的取值范围.