四川省简阳市阳安中学2015-2016学年高二下学期期中考试英语试题 Word版无答案.doc

阳安中学高2014级半期考试英语试卷 英 语 命题人:刘晓晴 何雨亭 审题人:张平 唐海燕 做题人:刘晓晴 何雨亭

第一部分:听力理解(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 conversation most probably take place? A. At a restaurant. B. In a driving school C. At a car rental agency. 2. Why does the woman look tired? A. Because she fell ill. B. Because she stayed up. C. Because she slept badly. 3. What does the woman want to do? A. To change a sweater. B. To buy another sweater. C. To sell a sweater. 4. When will the man probably call the woman? A. On Wednesday. B. On Friday. C. On Sunday. 5. What are the two speakers about to do? A. To move the trunk. B. To find something red. C. To wave the man’s T-shirt. 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。每段对话或独白读两遍。 听第6段材料,回答第6-7题。 6. Where is the meeting? A. In the man’s office. B. In Henry’s office. C. In Tom’s office. 7. What will the man do first? A. Sign the letters. B. Have lunch. C. Attend the meeting. 听第7段材料,回答第8-9题。 8. What are the two speakers talking about? A. Cleaning. B. Removing. C. Traveling. 9. What do we know about their baby? A. It’s a boy called Tom. B. It’s a girl called Natalie. C. It’s due quite soon. 听第8段材料,回答第10-12题。 10. How old was the schoolboy? A. 14 B. 17 C. 18 11. Why did the schoolboy break into the US military computers? A. To get their secrets. B. To sell his software program. C. To download films and music faster. 12. What does the woman think of the schoolboy? A. Interesting B. Troublesome C. Gifted. 听第9段材料,回答第13-16题。 13. What is Harry? A. A musician. B. A writer. C. A pilot. 14. Who is the woman’s oldest friend? A. Mandy B. Fiona. C. Rose. 15. What is George doing? A. Smoking. B. Drinking. C. Dancing. 16. Where does the conversation most probably take place? A. In the man’s home. B. In the woman’s home. C. At a hotel. 听第10段材料,回答第17-20题。 17. What is a modern English breakfast like? A. Simple and quick. B. Big and rich. C. Simple and horrible. 18. What is unacceptable for many visitors to Britain? A. Sandwiches with salad and meat. B. Coffee made with hot water. C. Tea with cold milk. 19. How do most school-children deal with their lunch? A. Eat in sandwich bars. B. Take a snack from home. C. Have a hot meal at school. 20. What makes the dinner on Sundays different? A. People all have it just at 6 p.m. B. The whole family have it together. C. People have meat and vegetables for it.

第二部分 阅读理解 (共两节,满分40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。(共10小题;每小题2分,满分30分) A My wife and I have always been friendly with the clerks at the local convenience store. I don’t think many people appreciate what a difficult job these folks have. They work for a little over minimum wage and I often wonder how they make ends meet. One of the clerks, Charlie, was always wearing his glasses but he didn’t one day. I asked him about it and he said they’d been out of order and that he couldn’t afford a new pair. His family needed money. It was obvious that he was having a difficult time. We wanted to help him, so we turned to our own eye doctor for assistance with a plan. We had his secretary contact him, asking him to come in for an eye exam for free. We told the doctor to let him order whatever glasses he wanted and that we would pay for them. Although Charlie questioned what was going on, the doctor just told him that someone had offered the money for his new glasses. When we went in to pay the bill, the doctor told us he was so touched by our idea that he waived the exam fee and only charged us for half the price of the glasses! It was so wonderful to see Charlie in her new glasses and he enjoyed telling all the regular customers how the gift came about. I’m sure that upon hearing her story, ideas of kindness may have emerged in the minds of many. 21. Why didn’t the clerk Charlie wear glasses one day? A. It was very warm and fine. B. His old glasses were broken. C. His glasses were missing. D. He forgot to wear his glasses. 22. From the passage, we can infer that ________. A. Charlie was a young man with skills B. Charlie knew who paid the money for the new glasses C. Charlie didn’t support his family with enough money D. Charlie entirely accepted the money for the new glasses 23. The underlined word “waived” in the third paragraph can be replaced by ______. A. gave up B. took up C. cut down D. put off 24. Which of the following could be the best title for the passage? A. The Wonderful Feeling of Helping others B. Customers’ Gift to an Employee C. A Friendly Clerk — Charlie D. A New Pair of Glasses B

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四川省简阳市阳安中学2015_2016学年高一英语上学期第三次月考试题(无答案)

四川省简阳市阳安中学2015_2016学年高一英语上学期第三次月考试题(无答案)

简阳市阳安中学高2015级高一(上)12月考试英语本试卷分第Ⅰ卷(选择题)和第Ⅱ卷(非选择题)两部分。

第Ⅰ卷(共100分)注意事项:1.答卷前,考生务必用钢笔或签字笔将自己的班别、姓名、考号填写在答题纸和答题卡的相应位置处。

2.选择题每小题选出答案后,用2B铅笔把答题卡上对应题目的答案标号涂黑。

3.非选择题答案必须写在答题纸相应位置处,不按要求作答的答案无效。

4.考生必须保持答题卡的整洁,考试结束后,将答题卡和答题纸一并收回。

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(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. What is the weather like these days?A. Sunny.B. Rainy.C. Changeable.2. What are the two speakers mainly talking about?A. Their study.B. The man’s roommate.C. Their jobs.3. Where did John use to live in the city?A. In the north.B. In the south.C. In the center.4. What will the man do next?A. Read a sign.B. Stop his car.C. Find a parking place.5. What do we know about the man?A. He works as a teacher.B. He is learning to play the piano.C. He loves teaching kids music.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。

高一英语上学期期中卷简阳市阳安中学2015-2016学年高一上学期期中考试英语试题含答案

高一英语上学期期中卷简阳市阳安中学2015-2016学年高一上学期期中考试英语试题含答案

阳安中学高2015级高一(上)半期考试英语命题人:郑晓萍杨秀兰审题人:郑晓萍杨秀兰本试卷分第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(共100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. Who is coming for tea?A. Mark.B. John.C. Mary.2. What can poor people do to get expensive education in America?A. Get a scholarship.B. Get help from the rich.C. Ask parents for money.3. Which apartment does the woman want to rent?A. A one-bedroom apartment.B. A two-bedroom apartment.C. A three-bedroom apartment.4. What does Mr. Green need?A. A teacher.B. A doctor.C. A babysitter.5. Who is Jerry’s sister with now?A. Jerry.B. Her mother.C. Her classmates.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。

四川省简阳市阳安中学高二英语12月月考试题

四川省简阳市阳安中学高二英语12月月考试题

四川省简阳市阳安中学2016-2017学年高二英语12月月考试题第一部分听力(共两节,满分30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。

每段对话仅读一遍。

1.What does the man like about the play?A.The story.B.The ending.C.The actor.2.Which place are the speakers trying to find?A.A hotel.B.A bank.C.A restaurant.3.At what time will the two speakers meet?A. 5:20B. 5:10C.4:404.what will the man do ?A.Change the planB.Wait for a phone callC.Sort things out5.What does the woman want to do ?A.See a film with the man.B. Offer the man some helpC.Listen to some great music. 第二节(共15小题:每小题1.5分,满分22.5分)请听下面5段对话。

每段对话后有几个小题,从题中所给出的A、B、C三个选项种选出最佳选项。

每段对话读两遍。

听第6段材料,回答6、7题。

6.Where is Ben?A. In the kitchen.B. At school.C. In the park.7.What will the children do in the afternoon?A. Help set the table.B. Have a party.C. Do their homework.听第7段材料,回答第8、9题8. What are the two speakers talking about?A. A Family holiday.B. A business trip.C. A travel plan.9. Where did Rachel go?A. Spain.B. Italy.C. China.听第8段材料,回答第10至12题。

四川省资阳市简阳市阳安中学2015-2016学年高二下学期期中数学试卷(文科)

四川省资阳市简阳市阳安中学2015-2016学年高二下学期期中数学试卷(文科)

2015-2016学年四川省资阳市简阳市阳安中学高二(下)期中数学试卷(文科)一、选择题:本题共12题,每小题5分,共60分.1.已知i是虚数单位,则复数(1+i)2=()A.2i B.﹣2i C.2 D.﹣22.已知抛物线y2=2px(p>0)的准线经过点(﹣1,1),则该抛物线焦点坐标为()A.(﹣1,0)B.(1,0)C.(0,﹣1)D.(0,1)3.已知函数f(x)=ax2+3x﹣2在点(2,f(2))处的切线斜率为7,则实数a的值为()A.﹣1 B.1 C.±1 D.﹣24.下列命题是真命题的是()A.到两定点距离之和为常数的点的轨迹是椭圆B.到定直线x=和定点F(c,0)的距离之比为的点的轨迹是椭圆C.到定点F(﹣c,0)和定直线x=﹣的距离之比为(a>c>0)的点的轨迹是左半个椭圆D.到定直线x=和定点F(c,0)的距离之比为(a>c>0)的点的轨迹是椭圆5.函数f(x)=x3+ax2+3x﹣9已知f(x)在x=﹣3时取得极值,则a=()A.2 B.3 C.4 D.56.下列双曲线中,渐近线方程为y=±2x的是()A.x2﹣=1 B.﹣y2=1 C.x2﹣=1 D.﹣y2=17.若函数f(x)=x2+ax+是增函数,则a的取值范围是()A.[﹣1,0]B.[﹣1,∞]C.[0,3]D.[3,+∞]8.椭圆上的点到直线的最大距离是()A.3 B.C.D.9.P为双曲线﹣=1上一点,F1,F2分别为左右焦点,,所成角为60°,则△F1PF2的面积是()A.9 B.3C.3 D.910.已知椭圆C:+=1(a>b>0)的离心率为,与双曲线x2﹣y2=1的渐近线有四个交点,以这四个交点为顶点的四边形的面积为16,则椭圆C的方程为()A.+=1 B.+=1 C.+=1 D.+=111.设函数f(x)=ln(1+x),g(x)=(x≥0),若f(x)≥g(x)恒成立,则a的取值范围是()A.a≤2 B.a≥2 C.a≤1 D.a≥112.在椭圆内有一点P(1,﹣1),F为椭圆右焦点,在椭圆上有一点M,使|MP|+2|MF|的值最小,则此最小值是()A.B.C.3 D.4二、填空题:本题共4题,每小题5分,共20分.13.i是虚数单位,计算的结果为.14.若f′(x0)=2,则=.15.设P是双曲线上一点,双曲线的一条渐近线方程为3x﹣2y=0,F1,F2分别是双曲线的左、右焦点,若|PF1|=3,则|PF2|的值为.16.设函数f′(x)是奇函数f(x)(x∈R)的导函数,f(﹣1)=0,当x>0时,xf′(x)﹣f (x)<0,则使得f(x)>0成立的x的取值范围是.三、解答题:本大题共6小题,满分70分.17.椭圆中心在原点,对称轴为坐标轴,离心率为,长轴长为8,求该椭圆标准方程.18.已知函数f(x)=x3+ax2+b的图象上一点P(1,0),且在点P处的切线与直线3x+y=0平行.(1)求函数f(x)的解析式;(2)求函数f(x)在区间[0,t](0<t<3)上的最大值和最小值.19.求过定点P(0,1)且与抛物线y2=2x只有一个公共点的直线方程.20.已知函数f(x)=lnx﹣.(Ⅰ)求函数f(x)的单调递增区间;(Ⅱ)证明:当x>1时,f(x)<x﹣1.21.已知函数在区间[﹣1,1]上单调递减,在区间[1,2]上单调递增,(1)求实数a的值(2)若关于x的方程f(2x)=m有三个不同实数解,求实数m的取值范围.22.已知椭圆E:+=1(a>b>0)的半焦距为c,原点O到经过两点(c,0),(0,b)的直线的距离为c.(Ⅰ)求椭圆E的离心率;(Ⅱ)如图,AB是圆M:(x+2)2+(y﹣1)2=的一条直径,若椭圆E经过A、B两点,求椭圆E的方程.2015-2016学年四川省资阳市简阳市阳安中学高二(下)期中数学试卷(文科)参考答案与试题解析一、选择题:本题共12题,每小题5分,共60分.1.已知i是虚数单位,则复数(1+i)2=()A.2i B.﹣2i C.2 D.﹣2【考点】复数代数形式的乘除运算.【分析】利用完全平方式展开化简即可.【解答】解:(1+i)2=12+2i+i2=1+2i﹣1=2i;故选:A.2.已知抛物线y2=2px(p>0)的准线经过点(﹣1,1),则该抛物线焦点坐标为()A.(﹣1,0)B.(1,0)C.(0,﹣1)D.(0,1)【考点】抛物线的简单性质.【分析】利用抛物线y2=2px(p>0)的准线经过点(﹣1,1),求得=1,即可求出抛物线焦点坐标.【解答】解:∵抛物线y2=2px(p>0)的准线经过点(﹣1,1),∴=1,∴该抛物线焦点坐标为(1,0).故选:B.3.已知函数f(x)=ax2+3x﹣2在点(2,f(2))处的切线斜率为7,则实数a的值为()A.﹣1 B.1 C.±1 D.﹣2【考点】利用导数研究曲线上某点切线方程.【分析】求出原函数的导函数,进一步求得f′(2),由f′(2)=7列式求解实数a的值.【解答】解:f(x)=ax2+3x﹣2,∴f′(x)=2ax+3.又函数f(x)=ax2+3x﹣2在点(2,f(2))处的切线斜率为7,∴f′(2)=4a+3=7,解得:a=1.故选:B.4.下列命题是真命题的是()A.到两定点距离之和为常数的点的轨迹是椭圆B.到定直线x=和定点F(c,0)的距离之比为的点的轨迹是椭圆C.到定点F(﹣c,0)和定直线x=﹣的距离之比为(a>c>0)的点的轨迹是左半个椭圆D.到定直线x=和定点F(c,0)的距离之比为(a>c>0)的点的轨迹是椭圆【考点】椭圆的定义.【分析】根据椭圆的两个定义,对选项中的命题进行判断即可.【解答】解:根据椭圆的定义是平面内到两定点的距离之和为定值的点的集合(该定值大于两点间距离),∴A错误;根据椭圆的第二定义是平面内到定点距离与到定直线的距离之比为常数的点的集合(定点不在定直线上,该常数为小于1的正数),判断B、C错误;判断D正确.故选:D.5.函数f(x)=x3+ax2+3x﹣9已知f(x)在x=﹣3时取得极值,则a=()A.2 B.3 C.4 D.5【考点】利用导数研究函数的极值.【分析】先对函数进行求导,根据函数f(x)在x=﹣3时取得极值,可以得到f′(﹣3)=0,代入求a值.【解答】解:对函数求导可得,f′(x)=3x2+2ax+3∵f(x)在x=﹣3时取得极值∴f′(﹣3)=0⇒a=5,验证知,符合题意故选:D.6.下列双曲线中,渐近线方程为y=±2x的是()A.x2﹣=1 B.﹣y2=1 C.x2﹣=1 D.﹣y2=1【考点】双曲线的简单性质.【分析】由双曲线方程﹣=1(a>0,b>0)的渐近线方程为y=±x,对选项一一判断即可得到答案.【解答】解:由双曲线方程﹣=1(a>0,b>0)的渐近线方程为y=±x,由A可得渐近线方程为y=±2x,由B可得渐近线方程为y=±x,由C可得渐近线方程为y=x,由D可得渐近线方程为y=x.故选:A.7.若函数f(x)=x2+ax+是增函数,则a的取值范围是()A.[﹣1,0]B.[﹣1,∞]C.[0,3]D.[3,+∞]【考点】利用导数研究函数的单调性.【分析】由函数在(,+∞)上是增函数,可得≥0在(,+∞)上恒成立,进而可转化为a≥﹣2x在(,+∞)上恒成立,构造函数求出﹣2x在(,+∞)上的最值,可得a的取值范围.【解答】解:∵在(,+∞)上是增函数,故≥0在(,+∞)上恒成立,即a≥﹣2x在(,+∞)上恒成立,令h(x)=﹣2x,则h′(x)=﹣﹣2,当x∈(,+∞)时,h′(x)<0,则h(x)为减函数.∴h(x)<h()=3∴a≥3.故选:D.8.椭圆上的点到直线的最大距离是()A.3 B.C.D.【考点】直线与圆锥曲线的综合问题;点到直线的距离公式.【分析】设椭圆上的点P(4cosθ,2sinθ),由点到直线的距离公式,计算可得答案.【解答】解:设椭圆上的点P(4cosθ,2sinθ)则点P到直线的距离d=;故选D.9.P为双曲线﹣=1上一点,F1,F2分别为左右焦点,,所成角为60°,则△F1PF2的面积是()A.9 B.3C.3 D.9【考点】双曲线的简单性质.【分析】设|PF1|=m,根据双曲线的性质可知|F1F2|=10,|PF2|=m+8.在△F1PF2中使用余弦定理解出m,代入三角形的面积公式即可得出面积.【解答】解:a=4,c=5.∴|F1F2|=2c=10.不妨设P在双曲线左支上,由双曲线的定义可知|PF2|﹣|PF1|=2a=8.设|PF1|=m,则|PF2|=m+8.由余弦定理得cos∠F1PF2==,解得m=2﹣4,∴S==(2﹣4)×(2+4)×=9.故选:D.10.已知椭圆C:+=1(a>b>0)的离心率为,与双曲线x2﹣y2=1的渐近线有四个交点,以这四个交点为顶点的四边形的面积为16,则椭圆C的方程为()A.+=1 B.+=1 C.+=1 D.+=1【考点】圆锥曲线的共同特征;椭圆的标准方程;双曲线的简单性质.【分析】由题意,双曲线x2﹣y2=1的渐近线方程为y=±x,根据以这四个交点为顶点的四边形的面积为16,可得(2,2)在椭圆C:+=1.利用,即可求得椭圆方程.【解答】解:由题意,双曲线x2﹣y2=1的渐近线方程为y=±x∵以这四个交点为顶点的四边形的面积为16,故边长为4,∴(2,2)在椭圆C:+=1(a>b>0)上∴又∵∴∴a2=4b2∴a2=20,b2=5∴椭圆方程为:+=1故选D.11.设函数f(x)=ln(1+x),g(x)=(x≥0),若f(x)≥g(x)恒成立,则a的取值范围是()A.a≤2 B.a≥2 C.a≤1 D.a≥1【考点】函数恒成立问题;对数函数的图象与性质.【分析】由f(x)≥g(x)转化为(x+1)ln(x+1)﹣ax≥0,令g(x)=(x+1)ln(x+1)﹣ax,对g(x)求导,利用函数的单调性和最值进行求解即可.【解答】解:∵f(x)≥g(x),∴ln(1+x)≥,即(x+1)ln(x+1)﹣ax≥0成立,令g(x)=(x+1)ln(x+1)﹣ax,对函数g(x)求导数:g′(x)=ln(x+1)+1﹣a令g′(x)=0,解得x=e a﹣1﹣1,(i)当a≤1时,对所有x>0,g′(x)>0,所以g(x)在[0,+∞)上是增函数,又g(0)=0,所以对x≥0,都有g(x)≥g(0),即当a≤1时,对于所有x≥0,都有f(x)≥ax.(ii)当a>1时,对于0<x<e a﹣1﹣1,g′(x)<0,所以g(x)在(0,e a﹣1﹣1)是减函数,又g(0)=0,所以对0<x<e a﹣1﹣1,都有g(x)<g(0),即当a>1时,不是对所有的x≥0,都有f(x)≥ax成立.综上,a的取值范围是(﹣∞,1].故选:C12.在椭圆内有一点P(1,﹣1),F为椭圆右焦点,在椭圆上有一点M,使|MP|+2|MF|的值最小,则此最小值是()A.B.C.3 D.4【考点】椭圆的简单性质.【分析】由题意求出椭圆的离心率,求出焦点坐标,通过椭圆的第二定义,求出|MP|+2|MF|的最小值.【解答】解:由题意作图,F(1,0),椭圆的离心率为:,由椭圆的第二定义可知,2|MF|=|MN|,如图.所以|MP|+2|MF|的最小值,就是由P作PN垂直于椭圆的准线于N,|PN|为所求,椭圆的右准线方程为x=,所以|MP|+2|MF|的最小值为:4﹣1=3.故选C.二、填空题:本题共4题,每小题5分,共20分.13.i是虚数单位,计算的结果为﹣i.【考点】复数代数形式的乘除运算.【分析】直接利用复数的除法运算法则化简求解即可.【解答】解:i是虚数单位,===﹣i.故答案为:﹣i.14.若f′(x0)=2,则=﹣1.【考点】极限及其运算.【分析】利用导数定义及=﹣,计算即得结论.【解答】解:=﹣=﹣f′(x0)=﹣•2=﹣1,故答案为:﹣1.15.设P是双曲线上一点,双曲线的一条渐近线方程为3x﹣2y=0,F1,F2分别是双曲线的左、右焦点,若|PF1|=3,则|PF2|的值为7.【考点】双曲线的简单性质.【分析】由双曲线的一条渐近线方程为3x﹣2y=0,求出a,由双曲线的定义求出|PF2|.【解答】解:∵双曲线的一条渐近线方程为3x﹣2y=0,∴可得,∴a=2.∵|PF1|=3,∴由双曲线的定义可得||PF2|﹣3|=4,∴|PF2|=7,故答案为:7.16.设函数f′(x)是奇函数f(x)(x∈R)的导函数,f(﹣1)=0,当x>0时,xf′(x)﹣f (x)<0,则使得f(x)>0成立的x的取值范围是(﹣∞,﹣1)∪(0,1).【考点】函数的单调性与导数的关系.【分析】构造函数g(x)=,利用g(x)的导数判断函数g(x)的单调性与奇偶性,画出函数g(x)的大致图象,结合图形求出不等式f(x)>0的解集.【解答】解:设g(x)=,则g(x)的导数为:g′(x)=,∵当x>0时总有xf′(x)<f(x)成立,即当x>0时,g′(x)恒小于0,∴当x>0时,函数g(x)=为减函数,又∵g(﹣x)====g(x),∴函数g(x)为定义域上的偶函数又∵g(﹣1)==0,∴函数g(x)的大致图象如图所示:数形结合可得,不等式f(x)>0⇔x•g(x)>0⇔或,⇔0<x<1或x<﹣1.∴f(x)>0成立的x的取值范围是(﹣∞,﹣1)∪(0,1).故答案为:(﹣∞,﹣1)∪(0,1).三、解答题:本大题共6小题,满分70分.17.椭圆中心在原点,对称轴为坐标轴,离心率为,长轴长为8,求该椭圆标准方程. 【考点】椭圆的简单性质.【分析】依题意,e==,a=4,求出b ,分焦点在x 轴与焦点在y 轴讨论即可求得答案.【解答】解:依题意,e==,a=4, ∴c=2,b 2=a 2﹣c 2=16﹣4=12,∴当焦点在x 轴时,椭圆的标准方程为=1;当焦点在y 轴时,椭圆的标准方程为=1.18.已知函数f (x )=x 3+ax 2+b 的图象上一点P (1,0),且在点P 处的切线与直线3x+y=0平行.(1)求函数f (x )的解析式;(2)求函数f (x )在区间[0,t ](0<t <3)上的最大值和最小值.【考点】利用导数求闭区间上函数的最值;利用导数研究曲线上某点切线方程. 【分析】(1)首先求出函数f (x )的导数,根据曲线在P (1,0)处的切线斜率是﹣3,求出a 的值;然后根据函数过点P (1,0),求出b 的值,进而求出函数f (x )的解析式即可; (2)由f (x )=x 3﹣3x 2+2,f ′(x )=3x 2﹣6x ,令f ′(x )=0,可得x=0或x=2,然后分类讨论,求出函数f (x )在区间[0,t ](0<t <3)上的最大值和最小值即可. 【解答】解:(1)因为f ′(x )=3x 2+2ax ,曲线在P (1,0)处的切线斜率为f ′(1)=3+2a , 即3+2a=﹣3, 所以a=﹣3;又因为函数过(1,0)点, 即﹣2+b=0, 所以b=2,所以f(x)=x3﹣3x2+2;(2)由f(x)=x3﹣3x2+2,f′(x)=3x2﹣6x,令f′(x)=0,可得x=0或x=2,①当0<t≤2时,在区间(0,t)上f′(x)<0,可得f(x)在[0,t]上是减函数,所以f(x)max=f(0)=2,f(x)min=f(t)=t3﹣3t2+2;minf(x)max为f(0)与f(t)中较大的一个,f(t)﹣f(0)=t3﹣3t2=t2(t﹣3)<0,所以f(x)max=f(0)=2,综上,函数f(x)在区间[0,t](0<t<3)上的最大值是2,最小值是﹣2.19.求过定点P(0,1)且与抛物线y2=2x只有一个公共点的直线方程.【考点】直线与圆锥曲线的关系.【分析】设直线l的斜率等于k,则当k=0时,直线l与抛物线的对称轴平行,所以此时直线与抛物线只有有关公共点.再讨论直线与抛物线相切的情况,注意要分斜率存在于斜率不存在两种情况讨论.【解答】解:①设直线l的斜率等于k,则当k=0时,直线l的方程为y=1,满足直线与抛物线y2=2x仅有一个公共点,当k≠0时,直线l是抛物线的切线,设直线l的方程为y=kx+1,代入抛物线的方程可得:k2x2+(2k﹣2)x+1=0,根据判别式等于0,求得k=,故切线方程为y=x+1.②当斜率不存在时,直线方程为x=0,经过检验可得此时直线也与抛物线y2=2x相切.故所求的直线方程为:y=1,或x=0,或x﹣2y+2=0.20.已知函数f(x)=lnx﹣.(Ⅰ)求函数f(x)的单调递增区间;(Ⅱ)证明:当x>1时,f(x)<x﹣1.【考点】利用导数研究函数的单调性.【分析】(Ⅰ)求函数f(x)的导数,利用导函数大于0,求解不等式得到函数的单调递增区间;(Ⅱ)构造函数,利用导数判断函数的单调性,然后证明当x>1时,f(x)<x﹣1.【解答】(I)解:,x∈(0,+∞).由f′(x)>0得解得.故f(x)的单调递增区间是.(II)证明:令F(x)=f(x)﹣(x﹣1),x∈(0,+∞).则有.当x∈(1,+∞)时,F′(x)<0,所以F(x)在[1,+∞)上单调递减,故当x>1时,F(x)<F(1)=0,即当x>1时,f(x)<x﹣1.21.已知函数在区间[﹣1,1]上单调递减,在区间[1,2]上单调递增,(1)求实数a的值(2)若关于x的方程f(2x)=m有三个不同实数解,求实数m的取值范围.【考点】函数与方程的综合运用;利用导数研究函数的单调性;利用导数研究函数的极值.【分析】(1)由题意可得,x=1取得极小值从而有f'(1)=0,代入可求a(2)由关于x的方程f(2x)=m有三个不同实数解,⇔关于t的方程f(t)=m在t∈(0,+∞)上有三个不同实数解,⇔y=f(t)的图象与直线y=m在t∈(0,+∞)上有三个不同的交点【解答】解:(1)由函数在区间[﹣1,1]上单调递减,在区间[1,2]上单调递增,x=1取得极小值∴f'(1)=0…∵f'(x)=﹣x3+2x2+2ax﹣2∴f'(1)=…(2)由(1)知,∴f'(x)=﹣x3+2x2+x﹣2=﹣(x﹣1)(x+1)(x﹣2),…f'x=0x=1x=1x=20 0 0所以函数f(x)有极大值,,极小值f(x)的示意图如图因关于x的方程f(2x)=m有三个不同实数解,令2x=t(t>0)即关于t的方程f(t)=m在t∈(0,+∞)上有三个不同实数解,即y=f(t)的图象与直线y=m 在t∈(0,+∞)上有三个不同的交点.而y=f(t)的图象与y=f(x)的图象一致.又f(0)=﹣2由图可知…22.已知椭圆E:+=1(a>b>0)的半焦距为c,原点O到经过两点(c,0),(0,b)的直线的距离为c.(Ⅰ)求椭圆E的离心率;(Ⅱ)如图,AB是圆M:(x+2)2+(y﹣1)2=的一条直径,若椭圆E经过A、B两点,求椭圆E的方程.【考点】直线与圆锥曲线的综合问题;曲线与方程.【分析】(Ⅰ)求出经过点(0,b)和(c,0)的直线方程,运用点到直线的距离公式,结合离心率公式计算即可得到所求值;(Ⅱ)由(Ⅰ)知,椭圆E的方程为x2+4y2=4b2,①设出直线AB的方程,代入椭圆方程,运用韦达定理和弦长公式,结合圆的直径和中点坐标公式,解方程可得b2=3,即可得到椭圆方程.【解答】解:(Ⅰ)经过点(0,b)和(c,0)的直线方程为bx+cy﹣bc=0,则原点到直线的距离为d==c ,即为a=2b ,e===;(Ⅱ)由(Ⅰ)知,椭圆E 的方程为x 2+4y 2=4b 2,①由题意可得圆心M (﹣2,1)是线段AB 的中点,则|AB|=, 易知AB 与x 轴不垂直,记其方程为y=k (x+2)+1,代入①可得 (1+4k 2)x 2+8k (1+2k )x+4(1+2k )2﹣4b 2=0, 设A (x 1,y 1),B (x 2,y 2),则x 1+x 2=.x 1x 2=,由M 为AB 的中点,可得x 1+x 2=﹣4,得=﹣4,解得k=,从而x 1x 2=8﹣2b 2,于是|AB|=•|x 1﹣x 2|=•==,解得b 2=3,则有椭圆E 的方程为+=1.2016年7月12日。

四川省雅安中学2015-2016学年高二下学期期末模拟英语试题

四川省雅安中学2015-2016学年高二下学期期末模拟英语试题

雅安中学2015—2016学年度下期期末模拟考试高二英语第Ⅰ卷第一部分听力(共20小题 , 每小题1分 , 计20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。

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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 dialogue probably take place?A. At a school.B. At a restaurant.C. At a supermarket.2. How does the man advise the woman to get to the hotel?A. By bus.B. By taxi.C. By subway.3. When did the film begin?A. At 7:30.B. At 8:00.C. At 8:30.4. Where did the woman spend her holiday last year?A. Guangzhou.B. Shanghai.C. Beijing.5. What is Tom?A. A writer.B. A lecturer.C. A researcher.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至7题。

6. How long has the woman had the temperature?A. Two days.B. Three days.C. Four days.7. Who goes to the hospital with the woman?A. Her sister.B. Her husband.C. Her brother.听第7段材料,回答第8至10题。

2015-2016学年四川省雅安市高二下学期期末考试英语试题(扫描版)

2015-2016学年四川省雅安市高二下学期期末考试英语试题(扫描版)

雅安市2015—2016学年下期期末检测高中二年级英语试题参考答案及评分标准听力(共20小题;每小题1.5分,满分30分)1—5 ACCBC 6—10 CABCC 11—15 BABCA 16—20 CBBAC阅读理解(共15小题,每小题2分;满分30分)21—25 CADC D 26—30 ABC CB 31—35 ADDBA补全短文(共5小题,每小题2分;满分10分)36—40 BCDFA完形填空(共20小题,每小题1.5分;满分30分)41—45 BCADA 46—50 CBDAD 51—55 BCBAD 56—60 DBCAC阅读填空(共10小题;每小题1.5分,满分15分)61. gently 62. replied 63. and 64. if/whether 65. had returned66. Having placed/Placing 67. the 68. more 69. who 70. with短文改错(共10小题;每小题1分,共10分)One day, Pam’s cousin came to meet her at school. After talking to him, she returned back to theclass. At that time, the teacher was busy write something on the blackboard. Pam didn’t saywritinganything and quiet went inside the classroom and sat down∧her seat. After a while, the quietly onteacher went to Pam and asked her, “Who was she?” Pam answered for fear, “He was my cousinhe inbrother.” The teacher again asked a question and Pam gave the same answer. The teacher thentheshouted, “I am asking who is Galileo.” All the other student burst into laughter before theywas students aftercame to know that both the teacher and Pam had misunderstood each other.书面表达(满分25分)One possible version:Dear editor,At present, more and more people choose to travel abroad when they haveholidays. There are some vital reasons. With the development of people’s livingstandard and economy, they can afford to go abroad . Besides, more people arebecoming interested in foreign cultures, therefore, they are eager to visit them with their own eyes.However, some people behave very badly in foreign countries. For example, they drop litter everywhere , as well as spit freely in public, which not only shows bad personal qualities , but also does great harm to the image of the country.Personally, since it’s well known that China is an ancient civilized country with a long history, we should always bear / keep it in mind that it is everyone’s responsibility to uphold image of our motherland.Thank you for your attention.Yours,Li Hua一、评分原则1. 本题总分为25分,按5个档次给分。

四川省绵阳第一中学2015-2016学年高一英语下学期期中试题(无答案)

2015~2016学年度下期高2015级半期考试英语试题第Ⅰ卷(选择题,共75分)注意事项:1.答第I卷前,考生务必将自己的姓名、准考证号、考试科目用铅笔涂写在答题卡上.2.每小题选出答案后,用铅笔把答题卡上对应题目的答案标号涂黑,如需改动,用橡皮擦擦干净后,再选涂其他答案,不能答在试题卷上.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)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.How many subjects has the man passed?A.Ten.B.Eleven.C.Only one.2. What did the man think about the woman’s idea?A.He thought she made a joke.B.He thought it was impossible.C.He thought it was reasonable.3.What’s the relationship between the speakers?A.They are neighbours.B.They are husband and wife.C.They are shopkeeper and customer.4.What are the speakers talking about?A.The weather.B.The nurses.C.The boy’s illness.5.What did the man do last night?A.He drank too much coffee.B.He didn’t go to bed until one o’clock.C.He didn’t have enough coffee.第二节(共15小题,每小题1分)听下面5段对话,每段对话后有几个小题,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。

【英语】四川省雅安中学2015-2016学年高二上学期期中考试

雅安中学2015-2016学年高二上期11月半期考试英语试题本试题分为第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。

考试结束后,将答题卡收回。

第I卷(选择题,共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答案,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. Whet time does the man usually go to bed?A. At 10:00 pm.B. At 11:00 pm.C. At 9:00 pm.2. What are the speakers talking about?A. Ways to find good jobs.B. Tips on job interviews.C. The effect of job advertisements.3. What is the price of a new car?A. $8,300.B. $8,500.C. $20,000.4. What happened to the man last night?A. He lost his cellphone.B. He fell asleep in the cinema.C. His car broke down on the way to the cinema.5. What did the man do yesterday?A. He attended a meeting.B. He went to a hospital.C. He stayed at home.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,每段对话后有几个小题,从题中所给的A、B、C三个选项中选出最佳答案,并标在试卷的相应位置。

四川省雅安市2015-2016学年高二英语下学期第7周周考试题

天全中学2015—2016学年下期高二第7周周考英语试题班级:姓名:成绩:一.阅读下面短文,从短文后各题的A、B、C、D四个选项中,选出适合填入对应空白处的最佳选项,并在答题卡上将该选项涂黑。

Dad had a green comb. He bought it when he married Mum. Every night, he would hand me his 1 and say, “Good girl, help Daddy clean it, OK?”I was 2 to do it. At age five, this dull task brought me such 3 . I would excitedly turn the tap 4 and brush the comb carefully. Satisfied that I’d done a good job, I would happily return the comb to Dad. He would 5 affectionately at me and place the comb on his wallet.Two years later, Dad started his own 6 , which wasn’t doing so well. That was when things started to 7 . Dad didn’t come home as early and as much as he used to. Mum and I became 8 with him for placing our family in trouble. With 9 , an uncomfortab le silence grew between us.After my graduation, Dad’s business was getting back on track. On my 28th birthday, Dad came home 10 . As usually I helped him carry his bags into his study. When I turned to leave, he said ,“Hey, would you help me 11 my comb?”I looked at him a while, then 12 the comb and headed to the sink.It hit me then: why, as a child, 13 Dad clean his comb was such a pleasure. That routine(习惯) meant Dad was home early to 14 the evening with Mum and me.It 15 a happy and loving family.I passed the clean comb back to Dad. He smiled at me and 16 placed his comb on his wallet. But this time , I noticed something 17 . Dad had aged. He had wrinkles next to his eyes when he smiled, 18 his smile was still as 19 as before, the smile of a father who just wanted a good 20 for his family.()1. A. bag B. wallet C. comb D. brush()2. A. annoyed B. relieved C. ashamed D. pleased()3. A. joy B. sadness C. courage D. pain()4. A. out B. over C. in D. on()5. A. stare B. smile C. shout D. laugh()6. A. family B. business C. task D. journey()7. A. progress B. change C. improve D. form()8. A. satisfied B. delighted C. mad D. strict()9. A. time B. patience C. speed D. ease()10. A. occasion ally B. early C. frequently D. rarely()11. A. sharply B. repair C. clean D. keep()12. A. dropped B. took C. handed D. threw()13. A. watching B. letting C. helping D. hearing()14. A. find B. lose C. waste D. spend()15. A. affected B. broke C. meant D. supported()16. A. firmly B. hurriedly C. casually D. carefully()17. A. different B. exciting C. interesting D. urgent ()18. A. for B. or C. so D. yet()19. A. convincing B. heartwarming C. cautious D. inno cent ()20. A. origin B. life C. reputation D. education 二.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。

【英语】四川省简阳市阳安中学2015-2016学年高一上学期期中考试

阳安中学高2015级高一(上)半期考试英语命题人:郑晓萍杨秀兰审题人:郑晓萍杨秀兰本试卷分第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(共100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. Who is coming for tea?A. Mark.B. John.C. Mary.2. What can poor people do to get expensive education in America?A. Get a scholarship.B. Get help from the rich.C. Ask parents for money.3. Which apartment does the woman want to rent?A. A one-bedroom apartment.B. A two-bedroom apartment.C. A three-bedroom apartment.4. What does Mr. Green need?A. A teacher.B. A doctor.C. A babysitter.5. Who is Jerry’s sister with now?A. Jerry.B. Her mother.C. Her classmates.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。

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