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“时不我待，只争朝夕”高三模拟考试英语科试卷本试卷分第Ⅰ卷（选择题）和第Ⅱ卷（非选择题）两部分，共150分，共12页。
考试结束后，将本试卷和答题卡一并交回。
注意事项：1. 答题前，考生先将自己的姓名、准考证号码、试卷类型在答题卡上填写清楚，将条形码准确粘贴在条形码区域内。
2. 选择题必须使用2B铅笔填涂；非选择题必须使用0.5毫米黑色字迹的签字笔书写，字体工整、笔迹清楚。
3. 请按照题号顺序在各题目的答题区域内作答，超出答题区域书写的答案无效；在草稿纸、试题卷上答题无效。
4. 保持卡面清洁，不要折叠，不要弄破、弄皱，不准使用涂改液、修正带、刮纸刀。
第I卷第一部分听力（1—20小题）在笔试结束后进行。
第一节（共5小题；每题1分，满分5分）听下面五段对话，每段对话后有一个小题，从题中所给的A、B、C三个选项中选出最佳选项，并标在试卷的相应位置。
听完每段对话后，你都有10秒钟的时间来回答有关小题和阅读下一小题。
每段对话仅读一遍。
1. What will the speakers give George?A. A bike .B. A guitar.C. Some videos.2. What will the man do?A. Visit a doctor.B. Get some rest.C. Take some medicine.3. What will the man probably do?A. Buy a newspaper.B. Put up an ad in the newspaper.C. Go for an interview.4. What has the woman left?A. The tickets.B. The passports.C. The camera5. What are the speakers mainly talking about?A. Matches.B. Hobbies.C. Soccer.第二节（共15小题；每题1分，满分15分）听下面五段对话或独白，每段对话或独白后有几个小题，从题中所给的A、B、C三个选项中选出最佳选项，并标在试卷的相应位置。
吉林省东北师范大学附属中学净月校区2016届高三数学上学期第二次模拟考试试题理一、选择题（本大题包括12小题，每小题5分，共60分）1.已知集合A＝错误!未找到引用源。
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是两条不同的直线，则下列命题不正确的是（）A．若错误!未找到引用源。
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为（）A．－12 B.12 C．一9 D．9俯视图侧视图正视图7.一个四棱锥的底面为正方形，其三视图如图所示，则这个四棱锥的侧面积是（）A．2B．错误!未找到引用源。
2017—2018学年高三年级校内第二次模拟考试英语学科试卷满分：150分考试时间：120分钟第Ⅰ卷（共100分）第一部分：听力部分（共两节，满分30分）第一节（共5小题：每小题1.5分，满分7.5分）听下面5段对话，每段对话有一个小题，从题中所给的A、B、C三个选项选出最佳选项，并标在试卷的相应位置，听完每段对话后，你都有10秒钟的时间来回答有关小题和阅读下小题，每段对话仅读一遍。
1.Where does this conversation probably take place ?A.In a bookstoreB.In a classroomC.In a library2.At what time will the film begin?A.7:20B.7:15C.7:003.What are the two speakers mainly talking about?A.Their friend Jane.B.A weekend trip.C.A radio programme.4.What will the woman probably do ?A.Catch a trainB.See the man offC.Go shopping5.Why did the woman apologize?A.She made a late delivery.B.She went to the wrong place.C.She couldn’t take the cake back.第二节（共15小题：每小题1.5分，满分22.5分）听下面5段对话，每段对话有几个个小题，从题中所给的A、B、C三个选项选出最佳选项，并标在试卷的相应位置，听完每段对话前，你将有时间阅读各个小题，每小题5秒钟；听完后，各小题给出5秒钟的做答时间。
每段对话读两遍。
听第6段材料，回答第6、7题。
6.Whose CD is broken?A.Kathy’sB.Mum’sC.Jack’s7.What does the boy promise to do for the girl?A.Buy her new CD.B.Do some cleaning.C.Give her 10 dollars.听第7段材料，回答第8、9题。
2017—2018学年高三年级校内第二次模拟考试英语学科试卷满分：150分考试时间：120分钟第Ⅰ卷（共100分）第一部分：听力部分（共两节，满分30分）第一节（共5小题：每小题1.5分，满分7.5分）听下面5段对话，每段对话有一个小题，从题中所给的A、B、C三个选项选出最佳选项，并标在试卷的相应位置，听完每段对话后，你都有10秒钟的时间来回答有关小题和阅读下小题，每段对话仅读一遍。
1.Where does this conversation probably take place ?A.In a bookstoreB.In a classroomC.In a library2.At what time will the film begin?A.7:20B.7:15C.7:003.What are the two speakers mainly talking about?A.Their friend Jane.B.A weekend trip.C.A radio programme.4.What will the woman probably do ?A.Catch a trainB.See the man offC.Go shopping5.Why did the woman apologize?A.She made a late delivery.B.She went to the wrong place.C.She couldn’t take the cake back.第二节（共15小题：每小题1.5分，满分22.5分）听下面5段对话，每段对话有几个个小题，从题中所给的A、B、C三个选项选出最佳选项，并标在试卷的相应位置，听完每段对话前，你将有时间阅读各个小题，每小题5秒钟；听完后，各小题给出5秒钟的做答时间。
每段对话读两遍。
听第6段材料，回答第6、7题。
6.Whose CD is broken?A.Kathy’sB.Mum’sC.Jack’s7.What does the boy promise to do for the girl?A.Buy her new CD.B.Do some cleaning.C.Give her 10 dollars.听第7段材料，回答第8、9题。
第I卷（满分100分）第一部分听力（共两节，满分30分）第一节（共5小题；每小题 1.5分，满分7.5分）听下面五段对话，每段对话后有一个小题，从题中所给的A、B、C三个选项中选出最佳选项，并标在试卷的相应位置。
听完每段对话后，你都有10秒钟的时间来回答有关小题和阅读下一小题。
每段对话仅读一遍。
1. What will the woman do today?A. Have lunch with the man.B. Buy a pair of glasses.C. See a doctor.2. What are the speakers probably talking about?A. Fred’s fault.B. A careless mistake.C. A car accident.3. Where is the man now?A. At home.B. In the office.C. In a restaurant.4. Why don’t the jeans suit the woman?A. She bought the wrong size.B. She isn’t as strong as before.C. She gained much weight.5. What are the speakers doing?[来源学科网ZXXK]A. Looking around an apartment.B. Doing the laundry.C. Shopping.第二节（共15小题；每小题 1.5分，满分22.5分）听下面5段对话或独白。
每段对话或独白后有几个小题，从题中所给的A、B、C三个选项中选出最佳选项，并标在试卷的相应位置。
听每段对话或独白前，你将有时间阅读各个小题，每小题5秒钟；听完后，各个小题将给出5秒钟的作答时间。
每段对话或独白读两遍。
听下面一段对话，回答第6和第7两个小题。
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，并在答题卡上将该项涂黑。
AGrowing up in Philadelphia, Lieberman started cooking with his stay-at-home dad when he was seven. His food-loving family had two kitchens, and he quickly learned what was the best way to bake his cakes. Lieberman improved his kitchen skills greatly during a year abroad before college, learning from a cook in Italy and studying local specialties （地方特色菜）in Germany, Spain and France. At Yale, he was known for throwing dinner parties, single-handed frying and baking while mixing drinks for dozens of friends. Just for fun, he and some friends decided to tape a show named Campus Cuisine about his cooking. Lieberman was a real college student showing his classmates how to do things like making drinks out of dining-hall fruit. That helped the show become very popular among the students. They would stop Lieberman after classes to ask for his advice on cooking. Tapes of the show were passed around, with which his name went beyond the school and finally to the Food Network. Food Network producer Flay hopes the young cook will find a place on the network television. He says Lieberman’s charisma is key.“Food TV isn’t about food anymore,” says Flay. “It’s about your personality and finding a way to keep people’s eyeballs on your show.”But Lieberman isn’t putting all his eggs in one basket. After taping the first season of the new show, Lieberman was back in his own small kitchen preparing sandwiches. An airline company was looking for someone to come up with a tasteful, inexpensive and easy-to-make menu to serve on its flights, Lieberman got the job. 21. We can learn from the text that Lieberman’s family __________.A. love cooking at homeB. have relatives in EuropeC. often hold partiesD. own a restaurant 22. The Food Network got to know Lieberman __________.A. at one of his partiesB. from his teachersC. on a television programD. through his taped show23. What does the underlined word “charisma” in the text refer to?A . A way to show one’s achievement. B. A natural ability to attract others. C. Lieberman’s after -class interest. D. Lieberman’s fin e cooking skill. 24. Why did the airline company give Lieberman the job?A. He could prepare meals in a small kitchen.B. He was famous for his shows on Food TV.C. He could cook cheap, delicious and simple meals.D. He was good at using eggs to make sandwiches. BWomen are friendly. But men are more competitive. Why? Researchers have found it’s all down to the hormone oxytocin (荷尔蒙催生素). Although known as the love hormone, it affects the sexes differently.“ Women tend to be social in their behavior. They often share with others. But men tend to be competitive. They are trying to improve their social status,” said Professor Ryan.Generally, people believe that the hormone oxytocin is let out in our body in various social situations and our body creates a large amount of it during positive social interactions (互动) such as falling in love or giving birth.But in a previous experiment Professor Ryan found that the hormone is also let out in our body during negative social interactions such as envy.2016年吉林省高考英语预测卷Further researches showed that in men the hormone oxytocin improves the ability to recognize competitive relationships, but in women it raises the ability to recognize friendship.Professor Ryan’s recent experiment used 62 men and women a ged 20 to 37. Half of the participants received oxytocin. The other half received placebo (安慰剂).After a week, the two groups switched with participants. They went through the same procedure with the other material.Following each treatment, they were shown some video pictures with different social interactions. Then they were asked to analyze the relationships by answering some questions. The questions were about telling friendship from competition. And their answers should be based on gestures, body language and facial expressions.The results indicated that, after treatment with oxytocin, men’s ability to correctly recognize competitive relationships improved, but in women it was the ability to correctly recognize friendship that got better.Professor Rya n thus concluded: “Our experiment proves that the hormone oxytocin can raise people’s abilities to better distinguish different social interactions. And the behavior differences between men and women are caused by biological factors that are mainly hormon al.”25. What causes men and women to behave differently according to the text?A. Oxytocin.B. Placebo.C. The gesture.D. The social status.26. What can we learn from Professor Ryan’s previous experiment?A. Oxytocin affects our behavior in a different way.B. Our body lets out oxytocin when we are deep in love.C. Oxytocin improves our abilities to understand people's behavior differences.D. Our body produces oxytocin when we feel unhappy about others’success.27. Why did Professor Ryan conduct the recent experiment?A. To know the differences between friendship and competition.B. To test the effect of oxytocin on the ability to recognize social interactions.C. To know the differences between friendship and competition.D. To know pe ople’s different abilities to answer questions.28. The author develops the text by __________.A. explaining people's behaviorsB. describing his own experiencesC. discussing research experimentsD. distinguishing sexual differencesCIf doctors want to test you for something, they’ll usually take a blood or urine sample (尿样). But wouldn’t it be much more convenient if they just asked you to breathe through a special instrument?In fact, your breath can say a lot about you. In traditional Chinese medicine, doctors draw a conclusion about the health state of a patient based on the smell of his or her breath; trained dogs and rats can identify the smells of the breaths of people suffering from certain cancers; traffic police also monitor drivers’ alcohol consumption by testing their breaths.Just like blood and urine, your breath contains lots of “metabolites ”--- the waste chemicals that the body produces, which vary from person to person. They are like personal health fingerprints, which is why scientists sometimes call them “ breath prints”, according to Science Daily.Compared to blood or urine testing, breath testing takes only seconds instead of hours, and it requires neither a needle nor a container to hold the body fluids (体液). This means the test can be taken frequently to better detect early signs of diseases and monitor the progress of a medical treatment.On the other hand, as an identifier, you might think that breaths are not as reliable as fingerprints since they might change based on what you eat. However, researchers in Zurich, Switzerland mapped 11 healthy volunteers’ chemical patterns by having them breathe through a special instrument, and they found that each pattern was unique and the patterns didn’t change much throughout the day, reported BBC.“Our goal is to develop breath analysis to the point where it becomes competitive with the established analysis of blood and urine,” said Malcolm Kohler, professor at the University Hospital Zurich.29. According to the text we know that __________.A. breath varies from person to person based on foodB. your breath may give you away if you are not carefulC. doctors can test one’s breath to find about his illnessD. dogs can identify people with certain cancers30. In comparison with blood or urine testing, breath testing is __________.A. comfortable and convincingB. traditional and reliableC. accurate and competitiveD. quick and convenient31. What is the author’s attitude toward breath testing?A. Doubtful.B. Approving.C. Unconcerned.D. Worried.32. What can we infer from the text?A. Breath testing is reliable and may have a bright future.B. Blood or urine testing will be less used in medical treatment.C. Doctors have found the best way to detect early signs of diseases.D. Traditional Chinese medicine is becoming more and more popular.DEvery year, the fascinating tourist destinations below are attracting travelers from home and abroad to St. Louis, which, founded in 1764 by French traders, today is the fifteenth largest urban area in the United States.★American Kennel Club Museum of the DogDog lovers who visit St. Louis won’t want to miss this 14,000-square-foot museum. Inside are over 500 paintings, prints, watercolors, and a variety of other dog art objects. The Museum is open year round, Tuesday through Saturday 10 AM to 4 PM, and Sunday 1 PM to 5 PM. Admission is $5 for adults,$2.50 for seniors, and $1 for children up to 14.★Anheuser Busch BreweryThe Anheuser Buxch Brewery tour is not just for beer lovers. The tour includes the historic Brew House. Then the tour continues to the modern Bevo Packaging Plant. The best will be the Budweiser Clydesdale stables. The tours are always free.★Gateway ArchDesigned by Eero Sarinen and Hannskari Bandel, it took over two years and 900 tons of stainless steel to build. It is the tallest of the country’s National Monuments. The Arch is part of the Jefferson National Expansion Memorial. About one million people per year come to the top of the Arch, where there is an observation platform providing a great view of the city.★The St. Louis ZooFirst version of the St. Louis Zoo opened in 1904 at the St. Louis World’s Fair, but now it has grown into one of the chief zoos in the world. The passenger train takes visitors around the Zoo, which contains over 9,000 animals of over 800 species.The Zoo is open every day but Christmas and New Year, with summer hours of 8 AM to 7 PM, and hours the rest of the year of 9 AM to 5 PM. Admission to the Zoo is free.33. If you are interested in how to make beer, you can visit __________.A. Gateway ArchB. The St. Louis ZooC. Anheuser Busch BreweryD. American Kennel Club Museum of the Dog34. Which of the following statements about Gateway Arch is TRUE?A. It was designed by two famous Italian architects.B. People can see the city clearly on the top of the arch.C. It took 900 tons of stainless steel and cement to build.D. It is the largest of the country’s National Monuments.35. If you plan to visit the St. Louis Zoo, you can go there _____.A. at 9:30 a.m. on New Year’s DayB. at 5:30 p.m. in winterC. at 8:30 a.m. in summerD. at 5:00 p.m. on Christmas Day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。
吉林省东北师范大学附属中学净月校区2016届高三数学上学期第二次模拟考试试题 文一、选择题（本大题包括12小题，每小题5分，共60分） 1.已知集合A ＝{}22320x x x -->，B ＝{}2ln(1)x y x =-，则A B ＝（ ）A ．(2,1)--B ． (,2)(1,)-∞-+∞ C ．1(1,)2- D ． (2,1)(1,)--+∞2.不等式组36020x y x y -+≥⎧⎨-+<⎩错误！未找到引用源。
表示的平面区域是( )3.已知数列{}n a 满足11a =，12(2,)n n a a n n N *-=≥∈，则数列{}n a 的前6项和为（ ） A ．63 B ．127 C ．6332 D ．127644.若4cos 5α=-，α是第三象限的角，则sin()4πα+=( )A ． C ．5.已知,αβ是两个不同的平面，,m n 是两条不同的直线，则下列命题不正确的是（ ） A ．若m //n ，m α⊥，则n α⊥B ．若m α⊥，m β⊥，则αβC ．若m α⊥，m β⊂，则αβ⊥D ．若//m α，n αβ=，则m //n6.已知正项数列{}n a 中，11a =，22a =，222112(2)n n n a a a n +-=+≥，则6a 等于（ ）A ．．4 C ．8 D ．167.已知两定点(0,2)A -，(0,2)B ，点P 在椭圆2211216x y +=上，且满足||||AP BP -＝2，则AP BP 为（ ） A ．－12 B.12 C ．一9 D ．98.一个四棱锥的底面为正方形，其三视图如图所示，则这个四棱锥的侧面积是（）A．2B．C.2D.9.点F为椭圆22221(0)x ya ba b+=>>的一个焦点，若椭圆上存在点A使AOF∆为正三角形，那么椭圆的离心率为（）A．2B．2C．12D110.已知抛物线28y x=的焦点F到双曲线C：22221(0,0)y xa ba b-=>>渐近线的距离为P是抛物线28y x=上的一动点，P到双曲线C的上焦点1(0,)F c的距离与到直线2x=-的距离之和的最小值为3，则该双曲线的方程为（）A．22123y x-=B．2214xy-=C．2214yx-=D．22132y x-=11.已知M是ABC∆内的一点，且23,30,AB AC BAC=∠=若,MBC MCA∆∆和MAB∆的面积分别为1,,2x y，则14x y+的最小值是（）A．20 B．18 C．16 D．912.已知圆C：1)()(22=-+-byax，平面区域Ω：⎪⎩⎪⎨⎧≥≥+-≤-+37yyxyx.若圆心Ω∈C，且圆C与x轴相切，则22ba+的最大值为（）A.49 B.37C.29D.5二、填空题（本大题包括4小题，每小题5分，共20分）13.在边长为1的正三角形ABC中，设2,3BC BD CA CE==，则AD BE=__________．14.若等比数列{}n a的各项均为正数，且510119122a a a a e+=，则俯视图侧视图正视图1220ln ln ln a a a ++=________．15.利用一个球体毛坯切削后得到一个四棱锥P ABCD -,其中底面四边形是边长为1的正方形，1PA =，且PA ⊥平面ABCD ,则球体毛坯体积的最小值应为 ． 16.已知函数⎩⎨⎧<<-≤<=63),6(30,lg )(x x f x x x f ，设方程()2()x f x b b R -=+∈的四个实根从小到大依次1234,,,x x x x ，对于满足条件的任意一组实根，下列判断中正确的为 . （请填所有正确命题的序号）（1）1201x x <<或()()340661x x <--<；（2）1201x x <<且()()34661x x -->； （3）1219x x <<或34925x x <<； （4）1219x x <<且342536x x <<. 三、解答题（本大题包括6小题，共70分，解答应写出证明过程或演算步骤） 17.（本小题12分）在锐角ABC ∆中,,,a b c 分别为角,,A B C2sin c A = （Ⅰ）确定角C 的大小；（Ⅱ）若c =ABC ∆a b +的值．18.（本小题12分）已知数列{}n a 的前n 项和为n S ,若()14211n n S n a +=-+(*n ∈N ),且11=a . （Ⅰ）求证：数列{}n a 为等差数列；（Ⅱ）设n b =数列{}n b 的前n 项和为n T ,证明:32n T <(*n ∈N ).19．(本小题12分)如图所示，四棱锥P ABCD -的底面ABCD 是直角梯形，AD BC //，AB AD ⊥，13AB BC AD ==，PA ⊥底面ABCD ，过BC 的平面交PD 于M ，交PA 于N （N 与A 不重合）．（Ⅰ）求证：BC MN //；CNMPDBA（Ⅱ）如果BM AC ⊥，求此时PMPD的值． 20．(本小题12分)已知椭圆M ：2221(0)3x y a a +=>的一个焦点为(1,0)F -，左右顶点分别为A ，B . 经过点F 的直线l 与椭圆M 交于C ，D 两点. （Ⅰ）求椭圆方程；（Ⅱ）记ABD ∆与ABC ∆的面积分别为1S 和2S ，求12||S S -的最大值. 21.（本小题12分）已知函数． x ee xf m xln )(-=（Ⅰ）设1x =是函数)(x f 的极值点，求m 的值并讨论)(x f 的单调性； （Ⅱ）当2≤m 时，证明：0)(>x f ．请考生在第22，23，24三题中任选一题作答，如果多做，则按所做的第一题记分．作答时用2B 铅笔在答题卡上把所选题目对应的题号涂黑． 22.（本小题10分）选修4-1：几何证明选讲如图所示，AC 为O 的直径，D 为BC 的中点，E 为BC 的中点． （Ⅰ）求证：//DE AB ；（Ⅱ）求证：2AC BC AD CD =．23．（本小题10分）选修4—4：坐标系与参数方程平面直角坐标系中，直线l的参数方程是x ty =⎧⎪⎨=⎪⎩（t 为参数），以坐标原点为极点，x 轴的正半轴为极轴，建立极坐标系，已知曲线C 的极坐标方程为2222cos sin ρθρθ+-2sin 30ρθ-=．（Ⅰ）求直线l 的极坐标方程；（Ⅱ）若直线l 与曲线C 相交于A 、B 两点，求||AB ．24．(本小题10分)选修4－5：不等式选讲设函数()214f x x x =+--． （Ⅰ）解不等式0)(>x f ；（Ⅱ）若()34f x x m +->对一切实数x 均成立，求实数m 的取值范围．ACCDB DDDCB BA﹣ ；50；；（1），（2），（3）17.（本小题10分）在锐角△ABC 中,a,b,c 分别为角A ，B ，C2sin c A =(1)确定角C 的大小； （2）若c =ABCa 十b 的值． 17.（本题10分）解（12sin c A =及正弦定理得，sin sin a Ac C ==sin 0,sin A C ≠∴=Q ABC ∆Q 是锐角三角形，3C π∴=…………5分（2）解法1：.3c C π==Q 由面积公式得1sin 623ab ab π==即 ① 由余弦定理得22222cos7,73a b ab a b ab π+-=+-=即 ②由②变形得25,5a b =+=2（a+b)故 解法2：前同解法1，联立①、②得2222766a b ab a b ab ab ⎧⎧+-=+⇔⎨⎨==⎩⎩＝１３ 消去b 并整理得4213360a a -+=解得2249a a ==或所以2332a a b b ==⎧⎧⎨⎨==⎩⎩或故5a b +=…………10分18.已知数列{}n a 的前n 项和为n S ,若()14211n n S n a +=-+(*n ∈N ),且11=a . (1) 求证：数列{}n a 为等差数列； （2)设n b =,数列{}n b 的前n 项和为n T ,证明:32n T <(*n ∈N ). 18.解(Ⅰ) 由题设()14211n n S n a +=-+,则21413a S =-=，3234115,a S =-=35a =. 当2n ≥时，()14231n n S n a -=-+, 两式相减得()()12121n n n a n a ++=-, …………………2分方法一：由()()12121n n n a n a ++=-，得12121n n a a n n +=+-，且2131a a=. 则数列21n a n ⎧⎫⎨⎬-⎩⎭是常数列，即1121211n a a n ==-⨯-，也即21n a n =- ……………………6分所以数列{}n a 是首项为1,公差为2的等差数列 ………………………7分方法二：由()()12121n n n a n a ++=-，得()()122321n n n a n a +++=+， 两式相减得212n n n a a a +++=,且1322a a a += …………………6分所以数列{}n a 等差数列. …………………7分 (Ⅱ)由(Ⅰ)得12-=n a n ,()21212n n n S n +-==,()121nbn n =-, …………………9分当1=n 时,1312T =<成立；………………………………………………………10分 当2n ≥时,()()111111121212122n b n n n n n n n n ⎛⎫==<=- ⎪---⎛⎫⎝⎭- ⎪⎝⎭ …………………12分所以1111111122231n T n n ⎡⎤⎛⎫⎛⎫⎛⎫<+-+-++- ⎪ ⎪ ⎪⎢⎥-⎝⎭⎝⎭⎝⎭⎣⎦1113111222n ⎛⎫=+-<+= ⎪⎝⎭综上所述,命题得证. ………………（理）19.如图, 已知四边形ABCD 和BCEG 均为直角梯形，AD ∥BC ，CE ∥BG ，且2BCD BCE π∠=∠=，平面ABCD ⊥平面BCEG ,222=====BG AD CE CD BC （Ⅰ）证明：AG //平面BDE ;（Ⅱ）求平面BDE 和平面BAG 所成锐二面角的余弦值.（文019． (本小题满分12分)如图所示，四棱锥P ABCD -的底面ABCD 是直角梯形，AD BC //，AB AD ⊥，13AB BC AD ==，PA ⊥底面ABCD ，过BC 的平面交PD 于M ，交PA 于N （N 与A 不重合）．（Ⅰ）求证：BC MN //； （Ⅱ）如果BM AC ⊥，求此时PMPD的值． 19.证明：（1）因为梯形ABCD ，且AD BC //， 又因为⊄BC 平面PAD ，⊂AD 平面PAD ，所以//BC 平面PAD ． 因为平面 BCNM 平面PAD =MN ， 所以BC MN //． …………4分（2）过M 作//MK PA 交AD 于K ，连结BK ． 因为PA ⊥底面ABCD ， 所以MK ⊥底面ABCD ． 所以MK AC ⊥． 又因为BM AC ⊥，BM MK M =，所以⊥AC 平面BMK ， 所以AC BK ⊥．知13AK AD =， 所以13PM PD =． …………12分CNMPDBAKABDPMC20．(本小题满分12分)已知椭圆M ：2221(0)3x y a a +=>的一个焦点为(1,0)F -，左右顶点分别为A ，B . 经过点F 的直线l 与椭圆M 交于C ，D 两点. （Ⅰ）求椭圆方程；（Ⅱ）记ABD ∆与ABC ∆的面积分别为1S 和2S ，求12||S S -的最大值. 20．(本小题满分12分)解：（I ）因为(1,0)F -为椭圆的焦点,所以1,c =又23,b =所以24,a =所以椭圆方程为22143x y += …………………………4分（Ⅱ）当直线l 无斜率时,直线方程为1x =-,此时33(1,),(1,)22D C ---, ,ABD ABC ∆∆面积相等，12||0S S -= …………5分 当直线l 斜率存在（显然0k ≠）时,设直线方程为(1)(0)y k x k =+≠,设1122(,),(,)C x y D x y和椭圆方程联立得到22143(1)x y y k x ⎧+=⎪⎨⎪=+⎩,消掉y 得2222(34)84120k x k x k +++-= 显然0∆>，方程有根，且221212228412,3434k k x x x x k k -+=-=++ ………………8分此时122121|||2||||||2||S S y y y y -=-=+212|(1)(1)|k x k x =+++21212||2|()2|34k k x x k k =++=+ ………………………………10分因为0k ≠,上式1234||||k k =≤==+（k =所以12||S S -………………………………12分另解：（Ⅲ）设直线l 的方程为：1-=my x ()R m ∈，则由⎪⎩⎪⎨⎧=+-=134122y x my x 得，()0964322=--+my y m ．设()11y ,x C ，()22y ,x D ，则436221+=+m m y y ，0439221<+-=⋅m y y ． ………………8分 所以，2121y AB S ⋅=，1221y AB S ⋅=，()21122142121y y y y AB S S +⨯⨯=-=-43122+=m m ……………………10分 当0=m 时，=-21S S 343212431222=⨯≤+=mmm m ()R m ∈． 由432=m ，得 332±=m ． 当0=m 时，3021<=-S S 从而，当332±=m 时，21S S -取得最大值3．…………………………12分21.（本小题12分）已知函数． x ee xf m xln )(-=（Ⅰ）设1x =是函数)(x f 的极值点，求m 的值并讨论)(x f 的单调性； （Ⅱ）当2≤m 时，证明：0)(>x f ． （21）（本小题满分12分） 解证：（Ⅰ）1()x m f x e x-'=-，由1x =是)(x f 的极值点得(1)0f '=， 即110m e --=，所以1m =． ………………………………２分 于是1()ln 0x f x ex x -=->，（），11()x f x e x-'=-，由121()0x f x e x-''=+>知 ()f x '在(0,)x ∈+∞上单调递增，且(1)0f '=， 所以1x =是()0f x '=的唯一零点． ……………………………４分 因此，当(0,1)x ∈时，()0f x '<；当(1,)x ∈+∞时，()0f x '>，所以，函数)(x f 在(0,1)上单调递减，在(1,)+∞上单调递增． ……………………………5分（Ⅱ）当2≤m ，(0,)x ∈+∞时，2x m x e e --≥，又1+≥x e x ,所以12-≥≥--x e e x m x ． ………………………………………８分取函数()1ln (0)h x x x x =-->)0(>x ，xx h 11)('-=，当10<<x 时，0)('<x h ，)(x h 单调递减；当1>x 时，0)('>x h ，)(x h 单调递增，得函数()h x 在1=x 时取唯一的极小值即最小值为(1)ln 2h =-． ……10分所以2()ln ln 1ln 0x m x f x e x e x x x --=-≥-≥--≥，而上式三个不等号不能同时成立，故)(x f ＞0．…………………………………12分请考生在第（22），（23），（24）三题中任选一题作答，如果多做，则按所做的第一题记分．作答时用2B 铅笔在答题卡上把所选题目对应的题号涂黑．（22）（本小题满分10分）选修4-1：几何证明选讲如图所示，AC 为⊙O 的直径，D 为BC ︵的中点，E 为BC 的中点．（Ⅰ）求证：DE ∥AB ；（Ⅱ）求证：AC ·BC ＝2AD ·CD ．【证明】： （Ⅰ）连接OE ，因为D 为的中点，E 为BC 的中点，所以OED 三点共线．………………………… …2分因为E 为BC 的中点且O 为AC 的中点，所以OE ∥AB ，故DE ∥AB.………………………… …5分（Ⅱ）因为D 为的中点，所以∠BAD ＝∠DAC ，又∠BAD ＝∠DCB ∠DAC ＝∠DCB ．又因为AD ⊥DC ，DE ⊥CE △DAC ∽△ECD ．………… …8分AC CD ＝AD CEAD ·CD ＝AC ·CE 2AD ·CD ＝AC ·2CEO A2AD ·CD ＝AC ·BC ．……………………………10分23．（本小题满分10分）选修4—4：坐标系与参数方程平面直角坐标系中，直线l 的参数方程是⎪⎩⎪⎨⎧==t y tx 3（t 为参数），以坐标原点为极点，x 轴的正半轴为极轴，建立极坐标系，已知曲线C 的极坐标方程为-+θρθρ2222sin cos 03sin 2=-θρ．（Ⅰ）求直线l 的极坐标方程；（Ⅱ）若直线l 与曲线C 相交于A 、B 两点，求||AB ．23．（本小题满分10分）选修4—4：坐标系与参数方程解：（Ⅰ）消去参数得直线l 的直角坐标方程：x y 3=---------2分 由⎩⎨⎧==θρθρsin cos y x 代入得 θρθρcos 3sin =)(3R ∈=⇒ρπθ.（ 也可以是：3πθ=或)0(34≥=ρπθ）---------------------5分 （Ⅱ）⎪⎩⎪⎨⎧==--+33sin 2sin cos 2222πθθρθρθρ 得0332=--ρρ-----------------------------7分 设)3,(1πρA ，)3,(2πρB ， 则154)(||||2122121=--=-=ρρρρρρAB .---------10分（若学生化成直角坐标方程求解，按步骤对应给分）24．(本小题满分10分)选修4－5：不等式选讲设函数()214f x x x =+--．（I ）解不等式f (x )>0；（II ）若f (x )+4x ->m 对一切实数x 均成立，求实数m 的取值范围．24.解：（I ）当x 4≥ 时， f (x )=2x +1-(x -4)=x +5>0，得x >-5，所以x 4≥成立. 当421<≤-x 时，f (x )=2x +1+x -4=3x -3>0，得x >1，所以1<x <4成立.当21-<x 时， f (x )=-x -5>0，得x <-5，所以x <-5成立. 综上，原不等式的解集为{x |x >1或x <-5} . …………5分 (II)f (x )+43-x =|2x +1|+2|x -4|9|)82(12|=--+≥x x . 当时等号成立或214-≤≥x x ，所以m <9. …………10分。
吉林省东北师大附中2016届三年级上学期第二次模拟考试英语试题考试时间： 120 分钟试卷满分:150 分第I卷第一部分听力（共两节，满分30分）第一节（共5小题；每小题1.5分，满分7.5分）听下面5段对话。
每段对话后有一个小题，从题中所给的A、B、C三个选项中选出最佳选项，并标在试卷的相应位置。
听完每段对话后，你都有10秒钟的时间来回答有关小题和阅读下一小题。
每段对话仅读一遍。
1. Where does the woman think her father is now?A. At home.B. At his office.C. At the club.2. What is the woman probably going to do this weekend?A. Go boating with her classmates.B. Go camping with the man.C. Prepare for a competition.3. How long does the woman usually sleep every night?A. About eight hours.B. About seven hours.C. About six hours.4. What do we know about Tim?A. He became severely ill.B. He may have a car accident.C. He didn’t take driving lessons.5. What does the man suggest?A. Calling the service centre.B. Pressing the emergency button.C. Doing nothing for a short while.第二节（共15小题；每小题1.5分，满分22.5分）听下面5段对话或独白。
考试时间：120分钟 试卷满分:150分 命 题 人:王妮娜 审 题 人：乔阔 此试卷分第I 卷(选择题）和第II 卷(非选择题）两部分。
第I 卷 （选择题,满分95分) 第一部分 听力理解 （共两节， 满分20分）第一节 （共5小题；每题1分,满分5分)听下面五段对话，每段对话后有一个小题,从题中所给的A 、B 、C 三个选项中选出最佳选项,并标在试卷的相应位置。
听完每段对话后，你都有10秒钟的时间来回答有关小题和阅读下一小题.每段对话仅读一遍.1. What’s the man’s problem in learning English?A. Pronunciation B 。
Grammar C. Spelling2. What will the man most probably do ？A. Call the travel agent.B. Get the information on the net.C. Have a trip to Los Angeles.3. How much did the woman pay for the coat?A. 10 dollars 。
B 。
40 dollars. C 。
50 dollars.4. What does the man mean?A. They don’t have to change their plan.B. They'd better change their mind 。
C. They can’t trust weather forecasts。
5. What does the woman suggest the man do?A. Check his phone bill again.B. B. Write letters instead of calling.C. C. Keep a record of his phone calls 。
绝密★启用前2016届吉林东北师范大学附属中学净月校高三上二次模拟考语文卷（带解析）试卷副标题考试范围：xxx ；考试时间：106分钟；命题人：xxx学校:___________姓名：___________班级：___________考号：___________注意事项．1．答题前填写好自己的姓名、班级、考号等信息 2．请将答案正确填写在答题卡上第I 卷（选择题）一、选择题（题型注释）1、依次填入下面一段文字横线处的语句，衔接最恰当的一组是朴学又称考据学。
清代朴学的兴起，首先与清代文化的高度成熟关系密切，__________，__________，__________；__________，__________，__________，这种学术上的争论最终促进了朴学的繁荣。
①清代人认为宋明理学空谈义理，把儒家治国平天下的传统丢掉了 ②文化高度成熟的一个表现是图书典籍的极大丰富③要想真正把握孔孟的精神，只有回到儒家原典中去寻找依据 ④这直接带来了清代图书事业的繁荣⑤学术界对宋明理学的反对，也是其兴起的重要原因⑥随之而来的是一些人专注于校勘，辨伪工作，从事文字训诂的学者越来越多 A ．②④⑥⑤①③B ．②④⑥⑤③①C ．⑤①③④②⑥D ．⑤③①④②⑥2、下列各句中，没有语病的一句是试卷第2页，共10页A ．被誉为互联网领域“达沃斯论坛”的“乌镇峰会”，全球网络界的许多领军人物悉数登场，这些互联网大腕的精彩演讲，吸引了来自世界各地的与会者。
B ．APEC 工商领导人峰会在每年的APEC 领导人非正式会议期间举办，是各经济体领导人与工商界开展对话交流的重要平台，也是亚太地区最具影响力的工商界活动。
C ．网民说，春晚小品《扶不扶》的故事还在耳边回响，现实中又发生了这样的事情，的确让人唏嘘。
D ．我国即将出台覆盖大中小学各教育阶段、覆盖听说读写译综合能力和各种形式外语学习成果，使我国英语教学和测评“车同轨，量同衡”。
2013级净月实验校高三年级“百炼成钢只争朝夕”第二次模拟考试英语学科试题考试时间：120分钟试卷满分:150分第一部分: 听力(共两节, 满分30分每小题1.5分)第一节(共5小题；每小题1.5分，满分7.5分)听下面5段对话。
每段对话后有一个小题，从题中所给的A、B、C三个选项中选出最佳选项，并标在试卷的相应位置。
听完每段对话后，你都有10秒钟的时间来回答有关小题和阅读下一小题。
每段对话仅读一遍。
1. Where are the two speakers?A. In a store.B. In a hotel.C. At home.2. Who is Christ Paine?A. A writer.B. A book seller.C. A computer engineer.3. What’s the relationship between the speakers?A. Neighbors.B. Doctor and patient.C. Boss and employee.4. How many ties does the man have?A. Nine.B. Five.C. Seven.5. When is the man checking in?A. Tuesday.B. Thursday.C. Friday.第二节（共15小题；每小题1.5分，满分22.5分）听下面5段对话或独白。
每段对话或独白后有几个小题，从题中所给的A、B、C三个选项中选出最佳选项，并标在试卷的相应位置。
听每段对话或独白前，你将有时间阅读各个小题，每小题5秒钟；听完后，各小题将给出5秒钟的作答时间。
每段对话或独白读两遍。
听第6段材料，回答第6、7 题。
6. What does the woman want to do?A. To buy an MP4.B. To replace her MP4.C. To repair her MP4.7. Who is the man?A. A repairman.B. A manager.C. A sales clerk.听第7段材料，回答第8至10 题。
8. What does the woman intend to do?A. Introduce the Workers’ Club.B. Invite the man to see a film.C. Invite the man to do sports.9. What can we learn about the club?A. It’s open until 12:00 at night.B. People can skate there.C. Three buses pass the club.10. Where does the man work?A. At the Workers’ Club.B. At a computer center.C. At a high school.听第8段材料，回答第11至13题。
11. How long is it since Mary and John last talked to each other?A. More than one year.B. Less than one year.C. Three months.12. Where does the man work?A. In a computer factory.B. At a university.C. At the National Bank.13. Which of the following is true?A. The woman speaks German better than Spanish.B. Tom, John’s son, is in Grade Three.C. The man has two children.听第9段材料，回答第14至16题。
14. What are the speakers talking about?A. American TV.B. American movie.C. American newspaper.15. What does the woman feel about the people he met?A. They are not interesting.B. They are violent.C. They are kind.16. Why doe sn’t the woman like American TV?A. It’s not interesting.B. It’s full of violence.C. It’s always about the West.听第10段材料，回答第17至20 题。
17. Whose dog is Chevy?A. Mine.B. My friend’s.C. My husband’s.18. Why do people go to the cliff?A. To swim.B. To fish.C. To go cliff jumping.19. Why did Chevy jump off after my friend?A. He wanted to protect my friend.B. He wanted to surprise my friend.C. He wanted to take a swim.20. Why was my friend happy?A. She was saved by Chevy.B. She saved Chevy.C. She had a brave dog.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，并在答题卡上将该项涂黑。
AThen he told his son, who was surprised by the suggestion, but soon won over. When he told that to the bride, she was really shocked but finally accepted because in southeastern Turkey there is a real culture of sharing with people in need. They love to share their food, their table and everything they have. And afterwards she was quite amazed about it. So, they arrived at the distribution center on Thursday to spend the day serving food and taking photographs with their grateful recipients（接受者）．On Tuesday evening, the newly married couple were still pleased with their decision to quit a personal celebration for one with a greater good. "It's like sharing a dinner with your friends and family who have this kind of thing on a daily basis or sharing something with people who don't even have the most basic things," Michael said. "Hopefully, this will also give the start for other wedding dinners to be held here with our brothers and sisters in need."21. Why did so many people crowd in Kilis?A. To attend Michael and Linda's wedding.B. To support the organization.C. To escape the damaging earthquake.D. To help distribute free daily meals.22. How did the couple celebrate their wedding?A. They treated their friends and relatives to a big dinner.B. They shared their happiness with the homeless in Kilis.C. They afforded the entire cost of the day for feeding victims.D. They took photos with the grateful victims.23. What does the underlined word "approached" in Paragraph 2 mean?A. took inB. moved towardsC. came acrossD. consulted with24. We can know from the text that __________________. .A. Kilis is a place which lies in southeastern TurkeyB. Ted was a representative of the organizationC. Linda adopted the suggestion immediately she heard itD. Michael doubted if more new couples would follow himBMost book reviews start with a heading that includes all the basic information about the book, like:Title.Author.Place of publication, publisher, date of publication.Number of pages.Like most pieces of writing, the review usually begins with an introduction that lets your readers know what the review will say. The first paragraph usually includes the author and t itle again, so your readers don’t have to look up to find this information. You should also include a very brief description of the contents of the book, the purpose or audience for the book, and your reaction and evaluation.Then you move into a section of background information that helps place the book in context and discusses criteria (准则）for judging the book. Next, the review gives a summary of the main points of the book, quoting and explaining key phrases from the author. Finally, you get to the heart of your review – your evaluation of the book. In this section, you might discuss some of the following issues:how well the book has achieved its goalwhat possibilities are suggested by the bookwhat the book has left outhow the book compares with others on the subjectwhat specific points are not convincingwhat personal experiences you’ve had related to the subject.It is important to use labels to carefully distinguish your views from the author’s, so that you don’t confuse your reader.Then, like other essays, you can end with a direct comment on the book, and tie together issues raised in the review in a conclusion.There is, of course, no set form, but a general rule is that the first one–half to two–thirds of the review should summarize the au thor’s main ideas and at least one–third should evaluate the book.25．What is the most important part of a book review?A．The heading. B．The evaluation.C．The conclusion. D．The introduction.26．It can be confusing to readers if _____ .A．there is no heading in a book reviewB．the book has achieved its goalC．the viewer’s point of view is not distinguished from the author’sD．the book is compared with others on the same subject27．What is NOT suggested for a book review in this passage?A．Quoting from the author of the book.B．Providing some book information.C．Analyzing only the author of the book.D．Comparing the book with others of a similar subject.28．The best title for this passage is “_____”.A．Steps to follow B．Tips for writing a book reviewC．The way to develop your idea D．Things not to be avoided in a book reviewCThe expression “a thirst for knowledge" may soon have a new meaning for mi llions of people who have no way to get clean water. Researchers have developed a book with specially treated pages that can turn dirty water into clean and drinkable water. They say their invention could improve the lives of many in the developing world.About 700 million people around the world are at risk of disease or even death because their drinking water is not clean. The water is polluted by harmful bacteria.The book contains 25 pages. Each page is about one millimeter thick. The pages contain very small particles(微粒) of silver. The pages can be used as filters（过滤器）to remove harmful microorganisms(微生物) that can pollute drinking water. The filter kills the organisms that pass through it.Pictures on the pages show the dangers of dirty water and how to use the book for those unable to read. The pages are made of filter paper. They are designed to be torn from the book. Water can be poured through the paper to be cleaned.Ms. Dankovich, the inventor, says each page can treat up to 100 liters of water. She recently presented her invention at the meeting of the American Chemical Society in Boston, Massachusetts. She was asked whether she had considered adding classic literature on the book's pages."The idea of classic texts—that's of interest maybe later. We have discussed a little bit more exciting text. But we really haven't had the time to go through that part," she says.Teri Dankovich and another researcher tested the drinkable book in Bangladesh, Ghana and South Africa. The tests proved to be successful.Water for Life, a non-governmental organization, has provided financial support for the project.29. What do we learn about the book from the text?A. It sells well around the world.B. It has pages with several functions.C. It is about environment protection.D. It can treat about 100 liters of water.30. What does the underlined phrase "that part" in Paragraph 6 refer to?A. Classic texts.B. Invention presentation.C. Exciting discussion.D. Financial support.31. In which country did not the researchers test the drinkable book?A. Bangladesh.B. GhanaC. South Africa.D. America.32. What is the main idea of the passage?A. Researchers have found a way to save those being ill.B. Millions of people are in great need of drinkable water.C. Book pages could provide safe drinking water.D. Knowledge is as important as drinkable water.DLove to sink into your chairs and relax when you get to school? Then you will not be happy to hear that schools all over the world are seriously considering exchanging traditional desks for ones with no seats at all — Yes,that means you will be encouraged to stand through those already too long math and science lessons! Why would anyone even think of putting kids to such cruelty? Experts say it improves their health and helps fight obesity. While that may seem a little far-fetched (牵强的), the officials at the few schools around the world seem to agree.Among them are educators from the College Station Independent School District in Texas, who recently completed a week-long experiment involving 480 students across three elementary schools. The 374 kids that agreed to participate in the study were provided with a device that helped record step count and calorie consumption over the entire period.All 25 teachers involved in the study reported that students appeared to be more alert and concentrate better, when allowed to stand. The one thing that did surprise the researchers was that younger kids were more willing to stay standing than kids in higher grades. They believe this may have something to do with the fact that after years of being asked to “sit still”, older kids have a harder time adjusting to this unexpected freedom.American schools are not the only ones reporting success with stand-up desks. Four Catholic schools in Perth, Australia, which have been testing them since October 2013, have seen similar results. In May 2014, Grove House Primary School in Bradford, West Yorkshire, became Europe’s first test one, with a seven-week trial that involved the use of desks made by Ergotron in their fifth-grade classrooms. While official results are not out yet, early reactions from both teachers and students, have been extremely encouraging.The findings of these studies and others done previously, all seem to mean that allowing kids to move around in classrooms is a win-win for students and teachers — it helps kids get healthier and provides educators with a more engaged audience.33. According to the teachers, older students may not like stand-up desks because ____________.A. they are cleverer than younger studentsB. they are easily tired of standing longC. they have formed the habit of sittingD. they do badly in class while standing34. What is most likely to be the result of the seven-week trial?A. The standing desks can’t be used at all.B. It is good for students to use stand-up desks.C. More tests should be done in other schools.D. The students are different in personality.35. Why do the teachers like the standing desks?A. Because the educators can draw the students’ attention.B. Because the teachers can keep the students healthy.C. Because the students can have a walk in the classroom..D. Because the standing desks can keep the students concentrated.第二节：七选五（共5个小题, 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，选项中有两项为多余选项。
