2017-2018第二学期期中试题

合集下载

2017—2018学年第二学期期中考试

If everybody were to eat the right foods, get plenty of sleep and exercise regularly, the world would be a happier and healthier place. We would all live to be much older and wiser.
Proper nutrition (营养) is important for good health. Your body cannot work well unless it receives the proper kind of “fuel”(燃料). Don’t eat too much food with lots of sugar and fat. Eat plenty of foods high in protein (蛋白质), like meat, fish, eggs and nuts. Vegetables and fruits are very important becausethey provide necessary vitamins (维他命) and minerals. However, don’t overeat. It is not helpful to be overweight.
D. one needn’t take any exercise if he is healthy
6. In order to keep good health, _________.
A. we should eat a lot of sweets
2017—2018学年第二学期期中考试
第I卷选择题（共70分）
I.阅读理解（共15小题每小题2分，满分30分）

2017—2018学年度第二学期期中考试_1

2017—2018学年度第二学期期中考试2018.4本试卷分第I卷（选择题）和第II卷（非选择题）两部分。

满分150分。

考试时间120分钟。

第Ⅰ卷第一部分听力（共两节，满分20分）第一节（共5小题；每小题1分，满分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. What kind of poems does the man dislike?A. Realistic poems.B. Romantic poems.C. Humorous poems.2. What is the woman doing?A. Enjoying her music.B. Preparing for a contest.C. Looking for her earphones.3. Where are the speakers?A. In a post office.B. In a hotel.C. In a taxi.4. What time is it now?A. 10:10.B.10:30.C. 11:00.5. What does the woman mean?A. She wants to practice French with the man.B. She will move to the quiet section.C. She won’t do what the man asks.第二节（共15小题；每小题1分，满分15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，各小题给出5秒钟的作答时间，每段对话或独白读两遍。

2017-2018学年度下学期期中考试

2017-2018学年度下学期期中考试考试时间：120分钟本试卷分为第I 卷(选择题) 和第II卷 (非选择题）两部分。

满分150分，考试时间120分钟。

第I卷第一部分听力（共两节, 满分30分）做题时先将答案标在试卷上，录音内容结束后，你将有两分钟的时间将试卷上的答案转涂到答题卡上。

第一节听下面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. What troubles the man?A. The phone rings.B. The poor service.C. The TV noise2. What is Jack's house like?A. It is smallB. It is messyC. It is clean3. Which shirt will the man probably wear?A. The blue oneB. The orange one.C. The white one4. What does the woman suggest the man do?A Rest at homeB. Go outdoors C. Watch a football match5. What does the woman mean?A. She will take a boat tourB. She will work on the shipC. She will be busy this summer第二节听下面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。

2017～2018学年度第二学期期中考试试卷

2017～2018学年度第二学期期中考试试卷第二部分单项填空(共15小题;每小题1分，满分15分)21.―Do you know how to spell word "miaow" in English?―Yes. It begins with "m".A. the; aB. the; anC. a; theD. the; the22. There a basketball match in our school next SundayA. is goingto haveB. will haveC. will isD. will be23. 220, 309 should be read .A. two hundred and twenty thousand three hundred and nineB. two hundred and twenty thousand and three hundred and nineC. two hundred and twenty thousands and three hundred and nineD. two hundred and twenty thousands, three hundred and nine24.Helen shares a room a friend of .A. with; herB. to; hersC. with; hersD. to; her25. I hope each of them to the party tomorrow.A. comeB. to comeC. are comingD. can come26.―The opera show is really wonderful. Don't it. ―OK, I .A. miss; don'tB. watch; don'tC. watch; won'tD. miss; won't27. There are twenty floors the building. He lives the twelfth floor.A. in; onB. on; inC. on; onD. in; in28.―Can you finish these Maths exercises tonight?―Yes, of course. can finish them. They are too easy.A. AnythingB. SomeoneC. AnyoneD. Something29.―Shall we go on a trip to Suzhou Amusement Park next month? ― .A. Yes, we should.B. That's a good idea.C. Of course.D. Not bad.30. Mrs Smith lives next to us. She is really a good because she is always ready to help people around her. A. cook B. waiter C. neighbour D. manager31.My parents will take me to the park if they tomorrow.A. will have freeB. will be freeC. have freeD. are free32. It is known that there are travellers coming to visit Suzhou every year.A. millions ofB. two millions ofC. two million ofD. million of33.―What is your brother like? ― .A. He is like my mother.B. He is a postman.C. He is a kind man.D. He likes football.34. It's cold today. We should make a fire the room warm.A. keepingB. to keepC. keepD. keeps35.―Is ready for the trip?―No, we still need to buy a map before we start the trip.A. anythingB. somethingC. everythingD. nothing第五部分词汇检测(共10小题:每小题1分，满分10分)58.I can't find my (钥匙).I put them somewhere in the room.59. The house covers an area of 200 (平方的)meters.60. Tomorrow is my (第二十)birthday. I would like to invite my classmates to come.61.The teachers and the students are busy (准备)for the coming school open day.62. He helps many people. We should (仿效)his example.63. Go (径直地)on, and you will find the Panda House.64. Yellow is to colour as banana is to .65.―If you don't have any kites. I can lend you . ―Thank you very much.66.―Can you help me with my maths? ―Sorry. I know about it.67.―What about going out for a picnic? ―That like a good idea第六部分句子翻译(共5小题:每小题3分，满分15分)68.红灯亮时不要过马路。

2017-2018学年度七年级(下)期中数学试卷(有答案和解析)

2017-2018学年七年级（下）期中数学试卷一、选择题（共8小题，每小题3分，满分24分）1．下列计算正确的是（）A．a2+a3＝a5B．a3•a3＝a9C．（a3）2＝a6D．（ab）2＝ab22．下列长度的3条线段，能首尾依次相接组成三角形的是（）A．1cm，2cm，4cm B．8cm，6cm，4cmC．12cm，5cm，6cm D．1cm，3cm，4cm3．已知如图直线a，b被直线c所截，下列条件能判断a∥b的是（）A．∠1＝∠2B．∠2＝∠3C．∠1＝∠4D．∠2+∠5＝180°4．多项式x2﹣4分解因式的结果是（）A．x（x﹣4）B．（x﹣2）2C．（x+4）（x﹣4）D．（x+2）（x﹣2）5．给定下列条件，不能判定△ABC三角形是直角三角形的是（）A．∠A＝35°，∠B＝55°B．∠A+∠B＝∠CC．∠A：∠B：∠C＝1：2：3D．∠A＝∠B＝2∠C6．已知x2+mx+25是完全平方式，则m的值为（）A．10B．±10C．20D．±207．如图，在边长为a的正方形中裁掉一个边长为b的小正方形（如图Ⅰ），将剩余部分沿虚线剪开后拼接（如图Ⅱ），通过计算，用接前后两个图形中阴影部分的面积可以验证等式（）A．a2﹣b2＝（a+b）（a﹣b）B．（a+b）2＝a2+2ab+b2C．（a+2b）（a﹣b）＝a2+ab﹣2b2D．（a﹣b）2＝a2﹣2ab+b28．如图，四边形ABCD中，E、F、G、H依次是各边中点，O是形内一点，若四边形AEOH、四边形BFOE、四边形CGOF的面积分别为6、7、8，四边形DHOG面积为（）A．6B．7C．8D．9二、填空题（每小题3分，共30分）9．计算：y6÷y2＝．10．已知某种植物花粉的直径为0.00035cm，将数据0.00035用科学记数法表示为．11．分解因式：a2﹣2a＝．12．一个多边形的内角和等于1260°，则这个多边形是边形．13．如图，a∥b，点B在直线b上，且AB⊥BC，若∠1＝34°，则∠2的大小为．14．若a m＝3，a n＝4，则a m﹣n＝．15．如图所示，小华从A点出发，沿直线前进12米后向左转24°，再沿直线前进12米，又向左转24°，…，照这样走下去，他第一次回到出发地A点时，一共走的路程是米．16．已知：a﹣b＝3，ab＝5，则代数式a2+b2的值是．17．如图，△ABC两内角的平分线AO、BO相交于点O，若∠AOB＝112°，则∠C＝．18．观察下列各式及其展开式：（a+b）2＝a2+2ab+b2（a+b）3＝a3+3a2b+3ab2+b3（a+b）4＝a4+4a3b+6a2b2+4ab3+b4（a+b）5＝a5+5a4b+10a3b2+10a2b3+5ab4+b5……请你猜想（a+b）11的展开式第三项的系数是．三、解答题（本题共9题，满分96分）19．（20分）计算（1）（）﹣2﹣（﹣）﹣1+（）0（2）m3•m3•m2+（m4）2+（﹣2m2）4（3）（1+2x﹣y）（1﹣2x+y）（4）（3a+1）（﹣1+3a）﹣（3a+1）220．（15分）因式分解（1）4x2﹣64（2）2ax2﹣4axy+2ay2（3）16m4﹣8m2n2+n421．（7分）先化简，再求值：（2x+2）（2﹣2x）+5x（x+1）﹣（x﹣1）2，其中x＝﹣2．22．（7分）画图并填空：如图，方格纸中每个小正方形的边长都为1．在方格纸内将△ABC平移后得到△A′B′C′，图中点B′为点B的对应点．（1）在给定方格纸中画出平移后的△A′B′C′；（2）画出△ABC中AB边上的中线CD；（3）画出△ABC中BC边上的高线AE；（4）△A′B′C′的面积为．23．（7分）如图，某校有一块长为（5a+b）米，宽为（3a+b）米的长方形空地，中间是边长（a﹣b）米的正方形草坪，其余为活动场地，学校计划将活动场地（阴影部分）进行硬化．（1）用含a，b的代数式表示需要硬化的面积并化简；（2）当a＝5，b＝2时，求需要硬化的面积．24．（8分）如图，直线AC∥BD，BC平分∠ABD，DE⊥BC，∠MAB＝80°，求∠EDB的度数．25．（8分）已知：如图∠1＝∠2，∠C＝∠D，请证明：∠A＝∠F．26．（10分）当我们利用两种不同的方法计算同一图形的面积时，可以得到一个等式，由图1，可得等式：（a+2b）（a+b）＝a2+3ab+2b2．（1）由图2可得等式：．（2）利用（1）中所得到的结论，解决下面的问题：已知a+b+c＝11，ab+bc+ac＝38，求a2+b2+c2的值；（3）利用图3中的纸片（足够多），画出一种拼图，使该拼图可将多项式2a2+5ab+2b2因式分解，并写出分解结果．27．（14分）如图1，直线AB∥CD，直线l与直线AB，CD相交于点E，F，点P是射线EA上的一个动点（不包括端点E），将△EPF沿PF折叠，使顶点E落在点Q处．（1）若∠PEF＝48°，点Q恰好落在其中的一条平行线上，请直接写出∠EFP的度数．（2）若∠PEF＝75°，∠CFQ＝∠PFC，求∠EFP的度数．2017-2018学年七年级（下）期中数学试卷参考答案与试题解析一、选择题（共8小题，每小题3分，满分24分）1．【分析】根据合并同类项法则，同底数幂的乘法法则、幂的乘方法则、积的乘方法则，对各选项分析判断后得结论．【解答】解：因为a2与a3不是同类项，所以选项A不正确；a3•a3＝a6≠a9，所以选项B不正确；（a3）2＝a3×2＝a6，所以选项C正确；（ab）2＝a2b2≠ab2，所以选项D不正确．故选：C．【点评】本题考查合并同类项、同底数幂的乘法、幂的乘方、积的乘方法则，熟练掌握运算性质和法则是解题的关键．2．【分析】根据三角形三边关系，任意两边之和大于第三边，任意两边之差小于第三边，分别判断出即可．【解答】解：∵三角形三边关系，任意两边之和大于第三边，任意两边之差小于第三边，∴A.1cm，2cm，4cm，∵1+2＜4，∴无法围成三角形，故此选项A错误；B.8cm，6cm，4cm，∵4+6＞8，∴能围成三角形，故此选项B正确；C.12cm，5cm，6cm，∵5+6＜12，∴无法围成三角形，故此选项C错误；D.1cm，3cm，4cm，∵1+3＝4，∴无法围成三角形，故此选项D错误．故选：B．【点评】此题主要考查了三角形三边关系，此定理应用比较广泛，同学们应熟练应用此定理．3．【分析】由同位角相等两直线平行，根据∠1＝∠2，判定出a与b平行．【解答】解：∵∠1＝∠2（已知），∴a∥b（同位角相等，两直线平行）．而∠2＝∠3，∠1＝∠4，∠2+∠5＝180°都不能判断a∥b，故选：A．【点评】此题考查了平行线的判定，平行线的判定方法有：同位角相等两直线平行；内错角相等两直线平行；同旁内角互补两直线平行．4．【分析】直接利用平方差公式分解因式得出答案．【解答】解：x2﹣4＝（x+2）（x﹣2）．故选：D．【点评】此题主要考查了公式法因式分解，正确应用公式是解题关键．5．【分析】根据三角形的内角和定理即可求得三角形中最大的角，即可作出判断．【解答】解：A、∠C＝180°﹣∠A﹣∠B＝180°﹣35°﹣55°＝90°，则是直角三角形；B、∠A+∠B＝∠C，则∠C＝90°，是直角三角形；C、最大角∠C＝×180°＝90°，是直角三角形；D、∠A＝∠B＝2∠C，又∠A+∠B+∠C＝180°，则∠A＝∠B＝72°，∠C＝36°，不是直角三角形．故选：D．【点评】本题考查了三角形的内角和定理，求出各选项中的最大角是解题的关键．6．【分析】利用完全平方公式的结构特征判断即可确定出m的值．【解答】解：∵x2+mx+25是完全平方式，∴m＝±10，故选：B．【点评】此题考查了完全平方式，熟练掌握完全平方公式是解本题的关键．7．【分析】易求出图（1）阴影部分的面积＝a2﹣b2，图（2）中阴影部分进行拼接后，长为a+b，宽为a﹣b，面积等于（a+b）（a﹣b），由于两图中阴影部分面积相等，即可得到结论．【解答】解：图（1）中阴影部分的面积等于两个正方形的面积之差，即为a2﹣b2；图（2）中阴影部分为矩形，其长为a+b，宽为a﹣b，则其面积为（a+b）（a﹣b），∵前后两个图形中阴影部分的面积，∴a2﹣b2＝（a+b）（a﹣b）．故选：A．【点评】本题考查了利用几何方法验证平方差公式：根据拼接前后不同的几何图形的面积不变得到等量关系．8．【分析】连接OC ，OB ，OA ，OD ，易证S △OBF ＝S △OCF ，S △ODG ＝S △OCG ，S △ODH ＝S △OAH ，S △OAE ＝S △OBE ，所以S 四边形AEOH +S 四边形CGOF ＝S 四边形DHOG +S 四边形BFOE ，所以可以求出S 四边形DHOG ．【解答】解：连接OC ，OB ，OA ，OD ，∵E 、F 、G 、H 依次是各边中点，∴△AOE 和△BOE 等底等高，所以S △OAE ＝S △OBE ，同理可证，S △OBF ＝S △OCF ，S △ODG ＝S △OCG ，S △ODH ＝S △OAH ，∴S 四边形AEOH +S 四边形CGOF ＝S 四边形DHOG +S 四边形BFOE ，∵S 四边形AEOH ＝6，S 四边形BFOE ＝7，S 四边形CGOF ＝8，∴6+8＝7+S 四边形DHOG ，解得S 四边形DHOG ＝7．故选：B ．【点评】此题主要考查了三角形面积，解决本题的关键将各个四边形划分，充分利用给出的中点这个条件，证得三角形的面积相等，进而证得结论．二、填空题（每小题3分，共30分）9．【分析】直接利用同底数幂的除法运算法则计算得出答案．【解答】解：y 6÷y 2＝y 4．故答案为：y 4．【点评】此题主要考查了同底数幂的除法运算，正确掌握运算法则是解题关键．10．【分析】绝对值小于1的正数也可以利用科学记数法表示，一般形式为a ×10﹣n ，与较大数的科学记数法不同的是其所使用的是负指数幂，指数由原数左边起第一个不为零的数字前面的0的个数所决定．【解答】解：将数据0.00035用科学记数法表示为3.5×10﹣4，故答案为：3.5×10﹣4．【点评】本题考查用科学记数法表示较小的数，一般形式为a ×10﹣n ，其中1≤|a |＜10，n 为由原数左边起第一个不为零的数字前面的0的个数所决定．11．【分析】观察原式，找到公因式a，提出即可得出答案．【解答】解：a2﹣2a＝a（a﹣2）．故答案为：a（a﹣2）．【点评】提公因式法的直接应用，此题属于基础性质的题．因式分解的步骤为：一提公因式；二看公式．一般来说，如果可以提取公因式的要先提取公因式，再看剩下的因式是否还能分解．12．【分析】这个多边形的内角和是1260°．n边形的内角和是（n﹣2）•180°，如果已知多边形的内角和，就可以得到一个关于边数的方程，解方程就可以求出多边形的边数．【解答】解：根据题意，得（n﹣2）•180＝1260，解得n＝9．【点评】已知多边形的内角和求边数，可以转化为方程的问题来解决．13．【分析】先根据平行线的性质，得出∠1＝∠3＝34°，再根据AB⊥BC，即可得到∠2＝90°﹣34°＝56°．【解答】解：∵a∥b，∴∠1＝∠3＝34°，又∵AB⊥BC，∴∠2＝90°﹣34°＝56°，故答案为：56°．【点评】本题主要考查了平行线的性质，解题时注意：两直线平行，同位角相等．14．【分析】根据a m÷a n＝a m﹣n（a≠0，m，n是正整数，m＞n）进行计算即可．【解答】解：a m﹣n＝a m÷a n＝3÷4＝，故答案为：．【点评】此题主要考查了同底数幂的除法，关键是掌握同底数幂的除法法则：底数不变，指数相减．15．【分析】多边形的外角和为360°，每一个外角都为24°，依此可求边数，再求多边形的周长．【解答】解：∵多边形的外角和为360°，而每一个外角为24°，∴多边形的边数为360°÷24°＝15，∴小华一共走的路程：15×12＝180米．故答案是：180．【点评】本题考查多边形的内角和计算公式，多边形的外角和．关键是根据多边形的外角和及每一个外角都为24°求边数．16．【分析】直接利用完全平方公式将原式变形进而得出答案．【解答】解：∵a﹣b＝3，ab＝5，∴（a﹣b）2＝a2﹣2ab+b2＝9，∴a2+b2＝9+2×5＝19．故答案为：19．【点评】此题主要考查了完全平方公式，正确将已知变形是解题关键．17．【分析】根据三角形内角和定理求出∠OAB+∠OBA，根据角的平分线定义得出∠CAB＝2∠OAB，∠CBA＝2∠OBA，求出∠CAB+∠CBA，根据三角形内角和定理求出即可．【解答】解：∵∠AOB＝112°，∴∠OAB+∠OBA＝180°﹣∠AOB＝68°，∵△ABC两内角的平分线AO、BO相交于点O，∴∠CAB＝2∠OAB，∠CBA＝2∠OBA，∴∠CAB+∠CBA＝2（∠OAB+∠OBA）＝136°，∴∠C＝180°﹣（∠CAB+∠CBA）＝180°﹣136°＝44°，故答案为：44°．【点评】本题考查了三角形内角和定理和角平分线定义，能求出∠CAB+∠CBA的度数是解此题的关键．18．【分析】利用所给展开式探求各项系数的关系，特别是上面的展开式与下面的展开式中的各项系数的关系，可推出（a+b）11的展开式第三项的系数．【解答】解：∵（a+b）2＝a2+2ab+b2（a+b）3＝a3+3a2b+3ab2+b3（a+b）4＝a4+4a3b+6a2b2+4ab3+b4（a+b）5＝a5+5a4b+10a3b2+10a2b3+5ab4+b5……∴依据规律可得到：（a+b）2第三个数为1，（a+b）3第三个数为3＝1+2，（a+b）4第三个数为6＝1+2+3，…（a+b）11第三个数为：1+2+3+…+9+10＝＝55．故答案为：55．【点评】本题考查了完全平方公式，各项是按a的降幂排列的，它的两端都是由数字1组成的，而其余的数则是等于它肩上的两个数之和．三、解答题（本题共9题，满分96分）19．【分析】（1）原式利用零指数幂、负整数指数幂法则计算即可求出值；（2）原式利用同底数幂的乘法法则，幂的乘方与积的乘方运算法则计算，合并即可得到结果；（3）原式利用平方差公式，以及完全平方公式化简即可得到结果；（4）原式利用平方差公式，以及完全平方公式化简，去括号合并即可得到结果．【解答】解：（1）原式＝9+4+1＝14；（2）原式＝m8+m8+16m8＝18m8；（3）原式＝[1+（2x﹣y）][1﹣（2x﹣y）]＝1﹣4x2+4xy﹣y2；（4）原式＝9a2﹣1﹣9a2﹣6a﹣1＝﹣6a﹣2．【点评】此题考查了整式的混合运算，以及实数的运算，熟练掌握运算法则是解本题的关键．20．【分析】（1）直接提取公因式4，再利用平方差公式分解因式即可；（2）直接提取公因式2a，再利用完全平方公式分解因式即可；（3）直接利用完全平方公式分解因式，进而利用平方差公式分解因式即可．【解答】解：（1）4x2﹣64＝4（x2﹣16）＝4（x+4）（x﹣4）；（2）2ax2﹣4axy+2ay2＝2a（x2﹣2xy+y2）＝2a（x﹣y）2；（3）16m4﹣8m2n2+n4＝（4m2﹣n2）2＝（2m+n）2（2m﹣n）2．【点评】此题主要考查了提取公因式法以及公式法分解因式，正确应用公式是解题关键．21．【分析】根据整式的运算法则即可求出答案．【解答】解：当x＝﹣2时，原式＝4﹣4x2+5x2+5x﹣x2+2x﹣1＝7x+3＝﹣14+3＝﹣11【点评】本题考查整式的运算，解题的关键是熟练运用整式的运算法则，本题属于基础题型．22．【分析】（1）直接利用得出平移后对应点位置进而得出答案；（2）直接利用中线的定义得出答案；（3）直接利用高线的作法得出答案；（4）直接利用三角形面积求法得出答案．【解答】解：（1）如图所示：△A′B′C′，即为所求；（2）如图所示：CD即为所求；（3）如图所示：AE即为所求；（4））△A′B′C′的面积为：×4×4＝8．故答案为：8．【点评】此题主要考查了平移变换以及三角形面积求法和三角形中线、高线的作法，正确把握相关定义是解题关键．23．【分析】（1）根据题意和长方形面积公式即可求出答案．（2）将a与b的值代入即可求出答案．【解答】解：（1）硬化总面积为（5a+b）（3a+b）﹣（a﹣b）2＝15a2+8ab+b2﹣a2+2ab﹣b2＝14a2+10ab；（2）当a＝5、b＝2时，14a2+10ab＝14×52+10×5×2＝450，答：需要硬化的面积为450米2．【点评】本题考查代数式求值，解题的关键是根据题意列出代数式，本题属于基础题型．24．【分析】直接利用平行线的性质，结合角平分线的定义，得出∠CBD＝∠ABD＝40°，进而得出答案．【解答】解：∵AC∥BD，∠MAB＝80°，∴∠ABD＝∠MAB＝80°，∵BC平分∠ABD，∴∠CBD＝∠ABD＝40°，∵DE⊥BC，∴∠BED＝90°，∴∠EDB＝90°﹣∠CBD＝50°．【点评】此题主要考查了平行线的性质以及角平分线的定义，正确得出∠CBD的度数是解题关键．25．【分析】由∠1＝∠2，∠1＝∠DGH，根据同位角相等，两直线平行，易证得DB∥EC，又由∠C＝∠D，易证得AC∥DF，继而证得结论．【解答】证明：∵∠1＝∠2（已知），又∵∠1＝∠DGH（对顶角相等），∴∠2＝∠DGH（等量代换）．∴DB∥EC（同位角相等，两直线平行）．∴∠ABD＝∠C（两直线平行，同位角相等）∵∠C＝∠D（已知）∴∠ABD＝∠D（等量代换）∴AC∥DF（内错角相等，两直线平行）∴∠A＝∠F（两直线平行，内错角相等）．【点评】本题考查平行线的性质与判定，解题的关键是灵活运用平行线的性质与判定，本题属于基础题型．26．【分析】（1）根据图2，利用直接求与间接法分别表示出正方形面积，即可确定出所求等式；（2）根据（1）中结果，求出所求式子的值即可；（3）根据已知等式，做出相应图形，如图所示．【解答】解：（1）∵由图1，可得等式：（a+2b）（a+b）＝a2+3ab+2b2∴由图2可得等式：（a+b+c）2＝a2+b2+c2+2ab+2ac+2bc；故答案为：（a+b+c）2＝a2+b2+c2+2ab+2ac+2bc（2）∵a+b+c＝11，ab+bc+ac＝38，∴a2+b2+c2＝（a+b+c）2﹣2（ab+ac+bc）＝121﹣76＝45；（3）如图所示：∴2a2+5ab+2b2＝（2a+b）（a+2b）【点评】此题考查了多项式乘以多项式，熟练掌握运算法则是解本题的关键．27．【分析】（1）①如图1，当点Q落在AB上，根据三角形的内角和即可得到结论；①如图2，当点Q落在CD上，由折叠的性质得到PF垂直平分EQ，得到∠1＝∠2，根据平行线的性质即可得到结论；（2）①如图3，当点Q在平行线AB，CD之间时，设∠PFQ＝x，由折叠可得∠EFP＝x根据平行线的性质即可得到结论；②如图4，当点Q在CD的下方时，设∠CFQ＝x，由∠CFQ＝PFC 得，∠PFC＝2x根据平行线的性质即可得到结论．【解答】解：（1）①如图1，当点Q落在AB上，∴FP⊥AB，∴∠EFP＝90°﹣∠PEF＝42°，①如图2，当点Q落在CD上，∵将△EPF沿PF折叠，使顶点E落在点Q处，∴PF垂直平分EQ，∴∠1＝∠2，∵AB∥CD，∴∠QFE＝180°﹣∠PEF＝132°，∴∠PFE＝QFE＝66°；（2）①如图3，当点Q在平行线AB，CD之间时，设∠PFQ＝x，由折叠可得∠EFP＝x，∵∠CFQ＝PFC，∴∠PFQ＝∠CFQ＝x，∵AB∥CD，∴∠AEF+∠CFE＝180°，∴75°+x+x+x＝180°，∴x＝35°，∴∠EFP＝35°；②如图4，当点Q在CD的下方时，设∠CFQ＝x，由∠CFQ＝PFC得，∠PFC＝2x，∴∠PFQ＝3x，由折叠得，∠PFE＝∠PFQ＝3x，∵AB∥CD，∴∠AEF+∠CFE＝180°，∴2x+3x+75°＝180°，∴x＝21°，∠EFP＝3x＝63°，综上所述，∠EFP的度数是35°或63°．【点评】本题考查了平行线的性质，折叠的性质，正确的作出图形是解题的关键．。

2017—2018学年第二学期期中试卷

2017—2018学年第二学期期中试卷第一部分阅读理解(共两节，满分40分)第一节：阅读下面短文，从每题所给的四个选项（A、B、C和D）中，选出最佳选项。

（共15小题；每小题2分，满分30）ACheck out our tsunami facts and learn some interesting info rmation related to these great walls of water that can cause s o much destruction. Find out what causes tsunamis and read about some recent examples of tsunamis that have occurred around the globe.●The Japanese word for tsunami means harbor wave.●Tsunamis are sometimes referred to as tidal (潮汐的) waves but this term has fallen out of favor because tsuna mis are not related to tides.●Tsunamis are huge waves of water that are usually caus ed by earthquakes or volcanic eruptions.●As a tsunami approaches the shore (海岸), water may move back from the coast. If it is shallow (浅的) enough the water may be pulled back hundreds of meters. If you are in the area, you can know that a tsunami is on the way when you see this phenomenon.●Regions in tsunami danger zones often have warning sys tems in place to give people as much time as possible to move to a safe place.●When tsunamis hit shallow water (often near the coast) th ey slow down but increase in height.●An earthquake in the Indian Ocean off Indonesia in Dece mber 2004 caused a tsunami that killed over 200,000 people i n 14 countries.●In March 2011, the Tohoku earthquake off the eastern co ast of Japan caused a tsunami that was a major factor in the death of over 15,000 people.●The tsunami waves created by the Tohoku earthquake re ached heights of over 40 meters in some areas, wiping out co astal towns and causing a number of nuclear accidents.1.How many causes of tsunamis are mentioned in the text?A.One.B.Two.C.Three.D.Four.2.In the Tohoku earthquake over 15,000 people died mainly because of _____.A.the earthquake itselfB.the lack of warning systemsC.the tsunami caused by the earthquakeD.the nuclear accidents caused by the tsunami3.Which of the following is TRUE according to the passage?A.Over 200,000 people were killed in 14 countries because of the earthquake in Dec.2004.B.Sometimes tsunamis are said as tidal waves, because they are related to tides.C.The warning systems in some regions help people move to a safe place.D.If you see water move to the coast, there will be a tsunami on the way.4.The text is developed mainly by _____.A.listing some factsB.giving some examplesC.providing some numbersD.making some comparisonsBThere are robots all around us. Some do very complicated jobs like flying airplanes and driving subway trains. And some do one simple job. When an automatic washing machine is switc hed on, water pours in. The machine waits until the water is w arm enough for washing clothes. It does this by “feedback” (反馈). Information about what is happening is feed back into the robot to tell what to do next. Our eyes, ears and other senses are our feedback. They tell us what is going on around us. So robots are like human beings in two ways.They work and they have feedback.In some ways robots are better than human beings. They wor k quickly and do not make mistakes. They do not get bored d oing the same job over and over again. And they never get tir ed. So robots are very useful in factories. They can be taught to do many different jobs. First their electronic brain must be s hown how the job is done. A person moves the robot’s“arms”and “hands” through each part of the job.The most intelligent robots can move and see. Their eyes are cameras. Their fingers can feel shapes and sizes of the object s. These robots have computer brains linked to their eyes and fingers, which control their actions. The expensive “Times Ne w Roman” --- The most intelligent robots are used in scientific research. They do such job as handling radioactive materials.5. What does the author seem to inform you about robots?A. They should be greatly improved.B. They will probably take over in the future.C. They are very helpful and useful to humans.D. They are machines that break down a lot.6. The fact that a robot never gets bored doing the same job means that_____.A. it is very much like human beingsB. it can do boring jobs for peopleC. it will never bore peopleD. it will work much better than human beings7. The robots used for scientific research________.A. are not very cleverB. are very cheapC. are very bigD. are very costly8. According to the passage, which of the following statement s is TRUE?A. In most ways robots are better than human beings.B. Robots have eyes, so they can see.C. Scientists sometimes do scientific research by using the int elligent robots.D. Robots can work but they have no feedback.CEdgar felt quite excited at the thought of his first swim of the summer. With the sun shining down so strongly, the sea was certain to be warm enough. He walked quickly along the sea-front towards the steps that led on to the sands. He smiled ch eerfully at the passers-by. He had just smiled and raised his hat to an elderly lady wh en a man with a camera caught his arm and stopped him. Ed gar heard a little buzzing noise from the camera.“Y our photograph, sir, in glorious colour in just one moment if you please,” said the man in one breath. Then the buzzing stopped, and he held the photograph in his hand and was wa ving it to and fro. In a moment he handed it over,and Edgar sa w the bright blue splash of his shirt half filling the picture.“Seventy pence, sir,” the man said. “It’s the bargain of your holiday.”“Seventy pence,’’ Edgar repeated, mildly. “For this?” He star ed at the photographer.“They’re normally eighty-five, sir,but for a single subject I make a cut-price offer. It’s the best value you’ll get in Chadwell. ”“You’ll have to make a better offer,” Edgar said. It was a goo d photo though, he thought, so bright and clear. His hat was h eld high, and he was smiling broadly at the old lady,whose ar m and handbag came into a lower corner. He had had no idea that he was being snapped. He thought he was really quite a good-looking chap.“That’s as good as any studio job that would cost you poun ds•” said the cameraman. “It’s better in a way because it’s so natural. Only seventy pence,sir. ”“I've never paid so much for a snap in my life. It simply isn’t worth that kind of money. It’s not as if I need the thing. Look, I’ll give you twenty-five.”“No, I can do that. Each of these instant colour shots costs me 50p ~ that's the price of the blank frame,so you see…”“Criminal,criminal,” Edgar broke in. “You want a profit of fort y per cent. Well, not at my expense, Tm afraid. Til give you yo ur 50p and that5s that."“Le t me see,then. ” The man suddenly took the photograph out of Edgar’s hand. “I can’t waste any more time with you. It’s 70p or I keep it. ”“Keep it,” Edgar said. He turned,looked out to the sea, and then walked quickly away.9.Why do you suppose Edgar was in Chadwell?A.It was his hometown.B.He was there on holiday.C.He was in the making of a film.D.He was there to have his photograph taken.10.Edgar smiled at and raised his hat to the lady because .A.he thought he recognized herB.he wanted the photograph to be amusingC.she was having her photograph takenD.he was feeling excited and cheerful11.What did Edgar think of the photo?A.He thought it made him look like a criminal.B.He liked it but thought it was too dear.C.It annoyed him because he hadn’t expected it.D.He thought it was a bargain at the price.DSurveys of American teenagers find that about half of them do not get enough sleep on school nights. They get an average of sixty to ninety minutes less than experts say they need.One reason for this is biology. Experts say teens are biologi cally programmed to go to sleep later and wake up later thanother age groups. Yet many schools start classes as early as seven in the morning.As a result, many students go to class f eeling like sixteen-year-old Danny. He is an active teen—except in the morning. “Getting up in the morning is pretty terri ble. I’m just very out of it and tired. Through the first and seco nd period I can hardly stay awake,” he said.Michael Breus is a psychologist (心理学家)). Teens,he says, need to sleep eight to nine hours or even nine to ten hours a night. He says sleepy teens can experien ce a form of depression (抑郁)that could have big effects on their general well-being. This depression can affect not just their ability in the cl assroom but also on the sports field. So what can schools do about sleepy students? The psychologist says one thing they can do is start classes later in the morning. Studies show that students can improve by a full letter grade in their first and se cond-period classes.Eric Peterson is the head of St. George’s School in the nort heastern state of Rhode Island. He wanted to see if a thirty-minute delay (推迟)would make a difference. It did. He says visits to the health centre by tired students decreased by half. Late arrivals to th e first period fell by a third. And students reported that they w ere less sleepy during the day. Eric Peterson knows that changing start times is easier at a small, private boarding school lik e his. But he is hopeful that other schools will find a way to do the same.12.The underlined word “this” in the second paragraph refers t o .A.children’s getting up lateB.children’s staying upC.children’s not getting enough sleepD.children's sleeping habits13.The passage mentions the story of sixteen-year-old Danny to show how .A.he hates getting up in the morningB.teens can be affected by a lack of sleepC.he turns from an active boy to a tired school childD.teens hate school14.The last paragraph tells us .A.it’s not easy to change the sleeping habitsB.a thirty-minute delay in classes would make no differenceC.students in St. George’s School can be late for classD.starting classes later in the morning can be good for teens15.What would be the best title for the passage?ter classes,less sleepy teensB.Early birds catch wormsC.Early to bed and early to riseD.Less classes,more happiness第二节七选五(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中有两项为多余选项。

2017—2018学年度第二学期期中考试

2017—2018学年度第二学期期中考试高二数学（文）试题（导数、选修1－2）第Ⅰ卷（选择题共50分）一、选择题（本大题共10个小题，每小题5分，共50分。

在每小题给出的4个选项中，只有一项是符合题目要求的） 1．211+)i复数（的值是（）A ． 2iB ．－2iC ． 2D ．－22．若)(,sin cos 2)('ααf x x f 则-=等于（ B ） A ．αsin -B ．αcos - Cααcos sin 2-- Dαcos 3-3．按流程图的程序计算，若开始输入的值为3x =，则输出的x 的值是（）A ．6B ．21C ．156D ．2314．在独立性检验中，统计量有两个临界值：3.841和6.635；当2K ＞3.841时，有95%的把握说明两个事件有关，当＞6.635时，有99%的把握说明两个事件有关，当 3.841时，认为两个事件无关．在一项打鼾与患心脏病的调查中，共调查了2000人，经计算的=20.87，2K 2K 2K ≤2K 输入x计算(1)2x x x +=的值 100x >输出结果x是否根据这一数据分析，认为打鼾与患心脏病之间（） A ．有95%的把握认为两者有关 B ．约有95%的打鼾者患心脏病C ．有99%的把握认为两者有关D ．约有99%的打鼾者患心脏病5．如图是函数32()f x x bx cx d =+++的大致图象，则等于（）A ．169B ．109C ．89D ．2896．有下列关系：①正方体的体积与棱长；②曲线上的点与该点的坐标之间的关系；③苹果的产量与气候之间的关系；④森林中的同一种树木，其横断面直径与高度之间的关系，其中有相关关系的是（） A ．①②③B ．①②C ．②③D ．③④7．用反证法证明命题：“一个三角形中不能有两个直角”的过程归纳为以下三个步骤：①9090180A B C C ++=︒+︒+>︒，这与三角形内角和为180︒相矛盾，90A B ==︒不成立；②所以一个三角形中不能有两个直角；③假设三角形的三个内角A 、B 、C 中有两个直角，不妨设90A B ==︒，正确顺序的序号为（） A ．①②③B ．③①②C ．①③②D ．②③①8．设函数322()3(1)1f x kx k x k =+--+在区间（0,4）上是减函数，则的取值2221x x +k范围是（） A ．13k <B ．103k <≤C ．103k ≤≤D ．13k ≤9．如图所示是()y f x =的导数图象，则正确的判断是（）①()f x 在(－3,1)上是增函数；②x ＝－1是()f x 的极小值点；③()f x 在(2,4)上是减函数，在(－1,2)上是增函数；④x ＝2是()f x 的极小值点．A ．①②③B ．②③C ．③④D ．①③④10．设△ABC 的三边长分别为a ，b ，c ，△ABC 的面积为S ，内切圆半径为r ，则2Sr ab c=++，类比这个结论可知：四面体S －ABC 的四个面的面积分别为S 1，S 2，S 3，S 4，内切球半径为R ，四面体S －ABC 的体积为V ，则R ＝（） A ．1234VS S S S +++ B ．12342VS S S S +++ C ．12343VS S S S +++D ．12344VS S S S +++第Ⅱ卷（非选择题，共100分）二．填空题（本大题共5个小题，每小题5分，共25分，把答案填在答题卡中横线上） 11．求垂直于2610x y -+=且与3235y x x =+-相切的直线方程__________________12．已知,,2x y R x y ∈+<则y x ,中至多有一个大于1，在用反证法证明时，假设应为________． 13．若函数24()1xf x x =+在区间(,21)m m +上单调递增，则实数m 的取值范围是．14．将全体正整数排成一个三角形数阵：1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 … … … … … …根据以上排列规律，数阵中第n (n ≥3)行的从左至右的第3个数是__________．15．已知f (x )＝(2x －x 2)e x ，给出以下几个结论：①f (x )>0的解集是{x |0<x <2}；②f (－2)是极小值，f (2)是极大值；③f (x )没有最小值，也没有最大值；④f (x )有最大值，没有最小值．其中判断正确的是________．三、解答题（本大题共6个小题，满分75分，解答应写出必要的文字说明、证明过程和演算步骤） 16．（本小题满分12分）已知复数(1)3(1)2i i z i-++=-，若21z az b i ++=-，（1）求z ；（2）求实数a , b 的值．17．（本小题满分12分）某人酷爱买彩票，一次他购买了1000注的彩票，共有50注中奖，于是他回到家对彩票的号码进行了分析，分析后又去买了1500注的彩票，有75注中奖．请分析他对号码的研究是否对中奖产生了大的影响．18．（本小题满分12分）某种产品的广告费支出x与销售额y(单位：百万元)之间有如下对应数据：x 24568y 3040605070（1）画出散点图；（2）求回归直线方程；（3）试预测广告支出为10百万元时，销售额多大？(注：b＝∑i＝1nx i y i－n x－y－∑i＝1nx2i－n x－2，a＝y－－b x－)．19．（本小题满分12分）已知正数a,b,c,d满足a+b=c+d，且a<c≤d<b，求证:a b c d+<+．20．（本小题满分13分）已知函数32f x x x=-+()23 3.（1）求曲线()=在点2y f xx=处的切线方程；（2）若关于x的方程()0+=有三个不同的实根，求实数m的取f x m值范围．21．（本小题满分14分）已知函数()2a f x x x=+，()ln g x x x =+，其中0a >．（1）若1x =是函数()()()h x f x g x =+的极值点，求实数a 的值；（2）若对任意的[]12,1x x e ∈，（e 为自然对数的底数）都有()1f x ≥()2g x 成立，求实数a 的取值范围．高二数学（文）试题（A ）参考答案（导数、选修1-2）1—10 BBDC Ａ DBDBC11．063=++y x 12．y x ,均大于１ 13．(]0,1-14．262+-n n 15．①②④16．解：（1）z=1+i （2）⎩⎨⎧=-=43b a17．解：根据题意可知购买1000注的彩票，中奖50注，未中奖的有950注；购买1500注彩票，中奖75注，未中奖的有1425注．列出对应的2×2列联表如下：中奖注数未中奖注数总计未分析 50 950 1000 分析后 75 1425 1500 总计12523752500假设H 0：对彩票号码的研究与中奖无关．由表中数据，得K 2的观测值为 k ＝－21000×1500×125×2375＝0.因为0<2.706，所以没有足够的证据说明对彩票号码的分析与中奖有关． 18．解：（1）根据表中所列数据可得散点图如下：（2）列出下表，并用科学计算器进行有关计算i12345x i 2 4 5 6 8 y i 30 40 60 50 70 x i y i60160300300560因此，x ＝255＝5，y ＝2505＝50∑i ＝15x 2i ＝145，∑i ＝15y 2i ＝13500， ∑i ＝15x i y i ＝1380，于是可得b ＝∑i ＝15x i y i －5x y∑i ＝15x 2i －5x2＝1380－5×5×50145－5×52＝6.5； a ＝y －b x ＝50－6.5×5＝17.5.因此，所求回归直线方程为y ^＝6.5x ＋17.5.（3）据上面求得的回归直线方程，当广告费支出为10百万元时，y ^＝6.5×10＋17.5＝82.5（百万元）即这种产品的销售收入大约为82.5百万元． 19．证明：要证明a b c d +<+，需证明2()a b c d 2+)<(+，需证明a +b+2ab <c+d+2cd , 因为a +b =c +d ,所以只需证明ab <cd , 需证明ab -bc <cd -bc , 需证明b (a -c )<c(d -b ), 考虑a +b =c +d ,即a -c =d -b , 需证明(a -c )(b -c )<0, 考虑a -c <0,需证明b -c >0, 而b -c >0显然成立,所以a b c d +<+成立.20. 解（1）2()66,(2)12,(2)7,f x x x f f ''=-==∴曲线()y f x =在2x =处的切线方程为712(2)y x -=-，即12170x y --=；（2）记322()233,()666(1)g x x x m g x x x x x '=-++=-=- 令()0,0g x x '==或1.则,(),()x g x g x '的变化情况如下表x(,0)-∞0 （0,1） 1(1,)+∞()g x ' +0 -0 +()g x递增极大递减极小递增当0,()x g x =有极大值3;1,()m x g x +=有极小值2m +. 由()g x 的简图知，当且仅当(0)0,(1)0g g >⎧⎨<⎩即30,3220m m m +>⎧-<<-⎨+<⎩时，函数()g x 有三个不同零点，过点A 可作三条不同切线.所以若过点A 可作曲线()y f x =的三条不同切线，m 的范围是(3,2)--.21．解：（1）∵()22ln a h x x x x=++，其定义域为()0 +∞，，∴()2212a h x x x'=-+．∵1x =是函数()h x 的极值点，∴()10h '=，即230a -=．∵0a >，∴3a =．经检验当3a =时，1x =是函数()h x 的极值点，∴3a =．（2）对任意的[]12,1x x e ∈，都有()1f x ≥()2g x 成立等价于对任意的[]12,1x x e ∈，都有()mi n f x ⎡⎤⎣⎦≥()max g x ⎡⎤⎣⎦．当x ∈［1，e ］时，()110g x x'=+>．∴函数()ln g x x x =+在[]1e ，上是增函数．∴()()max 1g x g e e ==+⎡⎤⎣⎦． ∵()()()2221x a x a a f x x x +-'=-=，且[]1,x e ∈，0a >．①当01a <<且x ∈［1，e ］时，()()()20x a x a f x x +-'=>，∴函数()2a f x x x=+在［1，e ］上是增函数，∴()()2min 11f x f a ==+⎡⎤⎣⎦.由21a +≥1e +，得a ≥e ，又01a <<，∴a 不合题意．②当1≤a ≤e 时，若1≤x ＜a ，则()()()2x a x a f x x +-'=<，若a ＜x ≤e ，则()()()2x a x a f x x +-'=>．∴函数()2a f x x x=+在[)1,a 上是减函数，在(]a e ，上是增函数．∴()()min 2f x f a a ==⎡⎤⎣⎦.由2a ≥1e +，得a ≥12e +，又1≤a ≤e ，∴12e +≤a ≤e ． ③当a e >且x ∈［1，e ］时，()()()20x a x a f x x +-'=<， ∴函数()2a f x x x=+在[]1e ，上是减函数． ∴()()2min a f x f e e e ==+⎡⎤⎣⎦. 由2a e e+≥1e +，得a ≥e ，又a e >，∴a e >．综上所述，a 的取值范围为1,2e +⎡⎫+∞⎪⎢⎣⎭．。

2017~2018学年第二学期期中考试

2017~2018学年第二学期期中考试本试卷分第Ⅰ卷(选择题)和第Ⅱ卷(非选择题)两部分。

共150分，考试时间120分钟。

第Ⅰ卷第一部分 (共3节，满分90 分)第一节阅读理解(共20小题；每小题2分，满分40分)AThe cars were honking(鸣叫)on the road one morning as I was walking to the park。

I walked on and soon found the cause－a little taxi that had got stuck in the middle of the road．There was sweat on the driver's face as he tried to start the engine again and again－nothing happened．“No petrol．”I said to myself and then found myself getting an gry．“Why doesn't the fool move his taxi to the side?”I though t, so did all the others who honked and shouted．He got up tiredly, and the passenger in the taxi got out．He w as a young man in a white shirt, who watched the driver try to push it to the side．“Stupid guy!”I said．“Can't he lend a helpi ng hand?”I watched as the poor driver pushed it to the side．Cars, buse s and trucks went past cursing(咒骂)the poor man．The young man took another taxi and went off．The taxi driver began mending his taxi．“Stupid passenger!”I said to him．“He didn't help you!”.The taxi driver slowly got up ．“Sir!” he asked, “Did you?” I looked at him guiltily, then look ed away, and walked away fast, asking myself, “Did I help the poor man push his taxi?”What had I been doing as the traffic jam took place?How had I helped deal with the problem?Did I help the poor man push his taxi?I'd done my bit, with my mouth．But never had I mov ed to solve the problem．I was shocked with guilt as I heard h im asking,“Sir!Did you?”1.Why did a traffic jam happen on the road when the author w as walking to the park?A. There was too much traffic in the street.B. Truck drivers attempted to go ahead of others.C. A taxi driver couldn't start his engine.D. A young man wasn't good at driving.2.The underlined sentence “Did you ?” in para.5 means “_________.”A.Did you get angry?B. Did you help him?C. Did you help me ?D. Did you need a help?3.Why did the author feel guilty?A. Because he blamed the driver wrongly.B. Because he didn't help the driver, either.C. Because he tried to help but failed in the end.D. Because he didn't persuade the passenger to help.4. From the incident, the author learnt a lesson that we should _________.A. criticize those who don't helpB. hurt the self-respect of others no moreC. think more of those who are in needD. stop talking and start to helpBWhen I saw my 10-year-old avoiding the dirty plate in the sink or my 8-year-old feeling uncomfortable about the wet sand in her hands，I'm reminded of a time when I was unwilling to get my hands a little dirty．My parents owned a 500-acre farm in Montana to raise animals，such as cows，sheep，horses and so on．It was during the time of new life （a newborn lamb or a calf） that my favorite childhood mem ory took place．One exceptionally cold day，I was checking on the sheep with my mother when she spieda ewe（母羊） in trouble．The poor thing was trying to deliver her baby lamb and needed our help．My mother calmly held the ewe's head and instructed me to grab hold of the two protruding（突出）legs．I hesitated，and must have had quite a look of panic on my young face．T he slimy little things were definitely not something I wanted to touch．But I worked up my courage and wrapped my fingers around them．I can still recall the feel of unexpectedly weak l egs and their sharp little hooves as if it happened yesterday． My heart pounded in fear and excitement as I pulled with all my strength．The lamb was delivered safely，and I'd never seen anything so beautiful．I was no stranger to seeing farm animals being born，but to have a hand in it was something I treasured then and w ill treasure forever．I remember feeling excited with delight to see “my lamb” being licked clean by her mother，and I'm sure everyone got very tired of hearing me tell and ret ell my heroic story．Looking back，I'm so glad that I didn't refuse to get my hands dirty．If I had ，the wonderful moment and the precious memory would have been lost．5．What impressed the writer most during her childhood？A．Her dirty little hands．B．Her parents’ large farm．C．Helping deliver a baby lamb．D．Raising animals on the farm．6．How did the author feel when she was asked to help a ew e deliver her baby？A sympathetic． B．rather frightened．C．quite astonished ． D．highly delighted．7．What point does the author try to make in the last paragra ph？A．It is not unusual to see a new life coming into the world ．B．It is not easy to make up and tell a heroic story in daily li fe．C．Memories formed during childhood are worth valuing all life long．D．You need to get your hands dirty to experience somethi ng precious．8．What could be the best title for the passage？A．A Valuable Life Lesson B．A Tidy and Clean Chil dC．A Ewe Delivering her Baby D．A Beautiful Newbor n Lamb．CIf you want to skip the misery (痛苦) that comes with fighting a seasonal cold or flu, a new rese arch explains why sleep is some of the best preventive medici ne. We already knew that not getting enough sleep can lead t o an increased risk of getting sick, but Nathaniel Watson, a ne urologist and sleep specialist at the University of Washington School of Medicine, said this new research helps explain why. Sleeping poorly can block specific genetic processes in the ce lls that make up your immune system, which is responsible for fighting off infections and diseases, according to the new stu dy. “Your immune system is not functioning the way it was me ant to when you are deprived of sleep,” Watson said. This stu dy is the first one that Watson and his colleagues are aware of that looks at what happens to the immune system’s DNA wh en you’re not getting adequate sleep.The researchers followed 11 pairs of identical twins for the stu dy. One twin reported sleeping at least seven hours per night, while the other slept approximately one hour less per night. L ooking at identical twins helped control the fact that sleep nee ds vary by person, Watson explained. Genes account for abo ut 50 percent of our sleep needs, meaning identical twins are the best-case scenario (方案 ) for getting a good comparison. The researchers took blood samples at the end of the study, which revealed that the immune system of the twin who slept l ess was less active than the twin who slept more. Those who slept less were actually making fewer proteins, the molecules that our bodies run on. “They had an under-performing immune system,” Watson said of the shorter sleep ers, “which would put them at higher risk of getting sick.”To control other potential factors that could affect sleep need and immune health, the researchers didn’t include people fro m the study who had diabetes, depression or other mental he alth problems and sleep disorders. They also left out shift wor kers, smokers, drug users and drinkers.9. What do the underlined words in Paragraph 2 mean?A. change sleep pattern.B. benefit from sleep.C. have to sleep.D. lack sleep.10. Why did the researchers choose identical twins for the stu dy?A. To find participants more easily.B. To make the results more accurate.C. To make the study more interesting.D. To show sleep needs vary by person.11. What does the author most probably want to show in the l ast paragraph?A. Many factors can lead to sleep disorder.B. The findings of the study can be reliable.C. Poor sleep could lead to many problems.D. The findings of the study remain to be tested.DMy 16-year-old son, Anton, had gone to the local swimming hole．Most of the kids swim there, and there are plenty of rocks for them to use as safe harbors, so I had no fears for his safety．Still, the firefighter's first words "You need to come up here to the Stillwater River" made me catch my breath, and his follow-up words gave me relief: “ Your son is OK．”When I got to the river, I immediately saw the fire truck, ambulance and Anton, wrapped with a towel about his shoulders, sit ting quietly on a low platform of the fire engine．I hurried over to him. "You OK?"I asked．“Yeah," was all he said．But my eyes begged for an explanati on. I didn't get it from my son, however, who tends to play his cards close to his vest．The story was this: A woman was being swept under water. H earing the cries, Anton and his friend Tyler, without hesitation, swam out to her, and brought her safely to shore．In an age in which the word "hero" is broadcast with abandon and seemingly applied to anyone who make it through the day , I realized the real thing in my son．The teens are stubborn a nd self-centred, but that didn't mean they have no desire to do good ．Still shocked by my son's daring, I drove him home.Along the way, I tried to dig out some more information from him - but h e had precious little to say.The only words he said were,“What's for supper?"I spent some time alone that evening, thinking about the trage dy that might have been. The next morning, when Anton got u p, I half wanted him to tell me the story.But all he did was toast some bread, pull himself together, and head for the door to s tart a new day. Watching from the window, I was reminded th at still water often runs deep.12．Why did the mother allow her son to swim there?A．He was an excellent swimmer.B．The water of the river is shallow.C．He was old enough to swim.D．The rocks can be of help if there's danger.13．The underlined part "who tends to play his cards close to his vest" probably means ________A．Anton is a boy fond of swimming with other kids B．Anton is unwilling to tell others what he thinksC．Anton always has a desire to help othersD．Anton seldom changes his mind14．In the mother's eyes, what her son did was__________ A．dangerous but interestingB．meaningful but difficultC．unexpected and courageousD．awful and absurd15．What might be the best title for the passage?A．My Son, My Hero B．Anton, A Silent BoyC．A Good DeedD．A Proud MotherEAre you looking for a young adult novel? If you’ re, here are s ome good choices for you.The Harry Potter SeriesIf you’re a grown-up and still haven’t read the Harry Potter novels, you don’t kn ow what you’re missing. J.K. Rowling’s tale of the English boy wizard shouldn’t be missed. As he grows into a confident tee n, Harry struggles with the same issues all peers (同龄人 ) face: the pressure to fit in, anxiety and stress over grades and homework.His Dark MaterialsAdults will find this award-winning trilogy (三部曲 ) fascinating as they follow the adventures of Lyra and Will, two children who travel through the universe that is quite diffe rent from our own. Even though it’s targeted at children, the s eries’ complex themes related to morality, identity, and fate wi ll attract readers of every age.Roll of Thunder, Hear My CryAs the second in a series of four books about the family, thisnovel follows the leading role, Cassie Logan, a 9-year-old girl and her family. They struggle to keep their land while fi ghting against varying degrees of racism from the white towns people. Cassie is both brave and innocent; hence, adults can benefit from Cassie’s perspective on what it’s like to be a child living in a racially oppressed environment.The Hunger Games TrilogyIf you have a young reader in your house, chances are that yo u’ve heard of The Hunger Games. This trilogy by Suzanne Co llins is set in the post-apocalyptic (后末世) country of Panem, where children are selected annually to participate in a televised, fight-to-the-death battle called The Hunger Games. The rebellion (反抗) inspired by the sharp and spirited hero, Katniss Everdeen, will attract readers of all ages.16. What does the author think of The Harry Potter Series?A. Adults will find it a bit too childish.B. It’s not easy for teenagers to relate to it.C. It can make young readers less confident.D. It deals with some common issues of teenagers.17. From the passage, we know His Dark Materials _________ .A. is not a science fiction seriesB. is too difficult for childrenC. has very deep themesD. tells mainly about the magic world18. Who is the author of The Hunger Games Trilogy?A. Lyra and WillB. Cassie LoganC. Katniss EverdeenD. Suzanne Collins19. What do we learn about the books?A. They’re all suitable for adults.B. They are all mainly to teach a lesson.C. They all deal with issues most peers face.D. They were all mainly written for adults.20 .To learn about race relations, which book will you read?A. His Dark Materials.B. The Harry Potter Series.C. The Hunger Games Trilogy.D. Roll of Thunder, Hear My Cry.第二节：完形填空(共20小题；每小题1.5分，满分30分)阅读下面短文，从短文后所给各题的四个选项(A、B、C和D)中，选出可以填入空白处的最佳选项，并在答题卡上将该项涂黑。

2017—2018学年第二学期期中考试试题

2017—2018学年第二学期期中考试试题第一部分阅读理解（共两节，满分60分）第一节（共15小题；每小题3分，满分45分）阅读下列短文，从每题所给的A、B、C和D四个选项中，选出最佳选项，并写在答卷页上。

ABike Share Toronto is the city's official bike share program, de signed to give locals and visitors a fun, affordable and conven ient alternative towalking, taxis, buses and the subway. There are 200 Bike Sh are Torontostations and 2,000 bikes across the city, making Bike Share t he most accessible way to get around and explore.How it works●Become an Annual Member or buy a to access the system.●Find an available bike nearby, and get a ride code or use yo ur member key to unlock it.●Take as many short rides as you want while your pass or membership is active.●Return your bike to any station, and wait for the green light o n the dock to make sure it's locked.Choose a plan●For visitors:$7. Unlimited 30-minute rides in a 24-hour period.3-Day Pass:$15. Unlimited 30-minute rides in a 72-hour period.●For locals:$25. Unlimited 30-minute rides for a month.Annual Membership:$90. Unlimited 30-minute rides for a whole year. The Annual Membership is the best deal for locals of and other fre-quent riders.The first 30 minutes of each ride is included with the members hip or pass price .Avoid extra fees by dropping off your bike e very 30 minutes at any other station. If you keep a bike out for longer than 30 minutes at a time, you will be charged an extr a $1.50 for the first 30 minutes over, $4 for the next 30 minute s, and $7 for each additional 30 minutes after that.Contact us●Customer Service:(855)898-2388●Repair Service:(855)898-2378●Corporation Partners:(855)898-2398●Employment Opportunities:(855)898-24981.Which is the most suitable choice for locals in ?A. B.3-Day Pass.C. D. Annual Membership.2.How much will the extra fee be if you travel for two hours by bike?A.$5.5.B.$9.5.C.$12.5.D.$15.5.3.For the information about working at Bike Share Toronto, co ntact it at.A.(855)898-2388B.(855)898-2378C.(855)898-2398D.(855) 898-2498BBeijing Opera is also called Peking Opera. It came into being after 1790 when the famous four Anhui opera troupes(戏班) came to Beijing. Its music and singing came from Xipi and Er-huang in Anhui and . Its costumes are all fascinating and artistic. It is the highest expression of the Chinese culture. It’s full of famous stories, beautiful facial paintings, and wonderful ge stures and fighting. This kind of opera is very popular with Chi nese people.There are four main roles in Beijing Opera: Sheng ,Dan, Ji ng and Chou. Sheng is the leading male actor。

2017-2018学年度第二学期期中阶段测试_1

2017-2018学年度第二学期期中阶段测试友情提醒：本试卷总分120分，分Ⅰ、Ⅱ两卷，考试时间为120分钟，请冷静答题，祝你成功！！第Ⅰ卷（选择题部分，共 85分）第一部分：听力理解 (共20小题；每小题1分，满分20分)第一节：（共5小题；每小题1分，满分5分）听下面5段对话, 每段对话仅读一遍从题中所给的A、B、C三个选项中选出最佳选项。

1. How does Paul make a living?A. By repairing cars.B. By making cars.C. By selling ca rs.2. What’s the man’s trouble?A. He has caught a bad cold.B. He often coughs.C. He ca n’t sleep well.3. How does the woman contact her friends?A. By letter.B. By telephone.C. By email.4. When should the man check in?A. At 8:30.B. At 8:00.C. At 9:00.5. What does the man imply?A. The daytime is too long.B. He is very tired.C. He feels lonely.第二节：(共15小题；每小题l分，满分15分)听下面5段对话或独白，每段对话或独白读两遍, 从题中所给的A、B、C三个选项中选出最佳选项。

听第6段对话, 回答第6至8题。

6. What does the man plan to do this Saturday morning?A. Get up late.B. Cut some wood.C. Take a walk.7. What did people say about the wolf?A. It killed a lot of small animals.B. It was attracted by the food left by people.C. It killed little children.8. What do we know about the woman?A. She may not catch what others said.B. She is telling a lie to the man.C. She often tells jokes to people.听第7段对话, 回答第9至11题。

2017—2018学年度第二学期期中测试卷

2017—2018 学年度第二学期期中测试卷八年级(初二)英语听力材料、参考答案及评分意见听力材料：一、听力 (共 25 分) A)请听下面 8 段对话。

每段对话后有一小题，从题中所给的 A、B、C、三个选项中选出最佳选项，并将其填在题前括号内。

听完每段对话后，你都将有 10 秒钟的时间回答有关小题和阅读下一小题。

每段对话读两遍。

（每题 1 分）矚慫润厲钐瘗睞枥。

1. M: Can I go to a friend’s party tonight? W: Sure, Dave. But you have to finish your homework first.聞創沟燴鐺險爱氇。

2. W: What do you think of doing chores, Bill? M: Well, I can’t stand it. I think it’s for moms. 3. W: Did you win? M: No, I didn’t. W: Well, you can’t win every time, but I know you did your best, and that’s more important.残骛楼諍锩瀨濟溆。

4. W: Hi, Tom. Could you tell me who was shouting in the street?酽锕极額閉镇桧猪。

M: It was me. I was running after a cat. She ate my goldfish just now. What’s up, Eve?彈贸摄尔霁毙攬砖。

W: Don’t you know I was sleeping just now? 5. W: Today I am free. Do you want to watch sports program with me, Jim?鐸怼类。

2017-2018学年度第二学期期中试题

2017-2018学年度第二学期期中试题分值：150分时间：120分钟注意事项：请将I卷（选择题）答案涂在答题卡上，第II卷（非选择题）答案用黑色钢笔（作图除外）做在答题卡上，不得出框。

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，你将有 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。

Where are the speakers?A. At homeB.At the doctor’sC.At a clothing store When will the man see a doctor?A. On ThursdayB.On TuesdayC.On MondayWhat does the woman want to do?A. Which seats they will choose.B. How soon the performance will begin.C. Whether there are tickets for the concert.What dose the woman want to do?A. GO to hospital.B. Eat something cool.C. Make the man a cup of tea.What will the man probably do on Saturday?A. Invite the woman to his house.B. Join a sports team.C. Attend a party.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。

2017-2018学年度第二学期期中考试试题

西科中学2017-2018学年度第二学期期中考试高二数学选修2－3试题Ⅰ 选择题部分一、选择题1. 教学大楼共有五层，每层均有两个楼梯，由一层到五层的走法有（）A ．10种B ．16种C ．25种D ．32种2. 9(2)a b +中第9项的二项式系数是（）A ．89CB ．9992C C ．99CD ．8892C3.抛掷两颗骰子所得点数之和为X ，那么4=X 表示的随机试验结果是（） A .两颗都是4点 B .两颗都是2点 C .一颗是1点，另一颗是3点D .一颗是1点，另一颗是3点或两颗都是2点4. 已知随机变量X 服从正态分布，X 的取值落在区间（-3，-1）内的概率和落在区间（3，5）内的概率是相等的，那么随机变量X 的均值为（）A.-2B.0C.1D.25 下列问题中，答案为6666A A ·的种数是（） A ．6男6女排成一行，同性都不相邻的排法数B ．6男6女排成一行，女性都不相邻的排法数C ．6男6女分六个兴趣不同的小组，每组一男一女的分组种数D ．6男6女排成前后两排的排法数6. 某台小型晚会由6个节目组成，演出顺序有如下要求：节目甲必须排在前两位、节目乙不能排在第一位，节目丙必须排在最后一位，该台晚会节目演出顺序的编排方案共有A ．48种B ．42种C ．36种D ．54种7.李先生居住在城镇的A 处，准备开车到单位B 处上班，途中（不绕行）共要经过6个交叉路口，假设每个交叉路口发生堵车事件的概率均为16，则李先生在一次上班途中会遇到堵车次数X 的均值E （X ）=（）A. 16B.1C.656()6⨯ D. 616()6⨯ 8.设随机变量X 的分布列为)6,5,4,3,2,1(2)(===k ck x P k ，其中c 为常数，则)2(≤x P 的值为（）A .43B .2116C .6463D .63649. 袋中装有完全相同的6个小球，其中有红色小球3个，黄色小球3个，如果不放回地依次摸出2个小球，则在第一次摸出红球的条件下，第二次摸出黄球的概率是（）A. 310B. 35C. 12D. 1410. 生产某种产品出现次品的概率为0.02，生产这种产品4件，至多有1件次品的概率为（）A.1－0.984B. 0.984+0.983×0.02C. 0.984D. 0.984+14C ×0.983×0.0211. 若n x )21(+展开式中含3x 的项的系数等于含x 的项的系数的8倍，则n 等于（）A ．5B ．7C ．9D ．1112. 设随机变量X ～B （5，12），则函数f （x ）=x 2+4x+X 存在零点的概率是 B ． C ．D ． Ⅱ 非选择题部分14. 有五名男同志去外地出差，住宿安排在三个房间内，要求甲乙两人不住同一房间，且每个房间最多住二人，则不同的住宿安排有种（用数字作答）15.一批产品共50件，其中5件次品，45件合格品，从这些产品中任意抽取两件，则其中出现次品的概率为 .16. 若1()2n x x+的展开式中前三项的系数成等差数列，则展开式中4x 项的系数为。