【www.guakaob.com--高三】
成都市初2016届“零诊”考试
数学 试卷
120分钟 总分：150分）
A卷（100分）
一、选择题（每小题3分，共30分） 1.若分式方程
xm
有增根，则x的值为（ ） 1
x1(x1)(x2)
A、3 B、0 C、3或0 D、1或-2
2.到三角形三个顶点的距离相等的点是三角形的（ ）
A、三个内角平分线的交点 B、三边垂直平分线的交点 C、三条中线的交点 D、三条高的交点 3.已知菱形的周长为40，两对角线的长度之比为3:4，那么两条对角线的长分别为（ ）
A、6,8 B、3,4 C、12,16 D、24,32 4.如图1，在△ABC中，CAB的平分线AD与BC的垂直平分线DE交于点D，DM⊥AB与M，DN⊥AC的延长线于N，若AB=8，AC=4，则BM的值为（ ）
A、4 B、2 C、6 D、5
5.下列方程有两个相等实数根的是（ ）
A、x2x10 B、4x22x10 C、x212x360 D、x2x20 6.若x0是方程(m2)x23xm22x80的解，则m的值为（ ） A、2 B、-4 C、-2或4 D、-4或2
x0
7.分式：，若有意义，则x的取值范围是（ ）
x5
A、x5 B、x5 C、x5 D、x5
8.如图2，点E在正方形ABCD的对角线AC上，且EC=2AE，直角三角形FEG的两直角边EF、EG分别交BC、DC与点M、N，若正方形ABCD的边长为α，则重叠部分四边形EMCN的面积为（ ）
2154A、2 B、2 C、2 D、2
3499
x109.不等式组的解集为（ ）
3x6
A、x2 B、x1
C、-1x2 D、1x2
10.某工厂生产一种零件，计划在20天内完成，若每天多生产4个，则15天完
成且还多生产10个，设原计划每天生产x个，根据题意可列分式方程为（ ）
20x1020x1020x1020x10
15 B、15 C、15 D、15 A、
x4x4x4x4二、填空题（每题4分，共20分）
9
11.已知a23a10，那么4a29a2的值为.
1a2
12.如图3，△ABC的周长为36cm，DE垂直平分边AC，交BC与点E，交AC边与
15
点D，连接AE，若AD=cm2，则三角形ABE的周长是.
213.分解因式：ab24ab4a=.
14.如图4，已知在正方形ABCD中，对角线AC和BD相交于点O，E、F分别是边AB、BC上的点，若AE=4cm，CF=3cm，且OE⊥OF，则EF的长为.
15.如图5，点G是正方形ABCD对角线CA的延长线上任意一点以线段AG为边做一个正方形AEFG，线段EB和GD相交于点H，若AB=2，AG=1，则EB=.
三、计算题（16题4分，17题——19题5分一个，共19分）
4a512
16.化简：a12
a1a1aa
17.解分式方程：
x23
1 2x14x2
x11x
18.先化简1，再从不等式组的整数解中选择一个恰当的2
x12x1x1数代入求值.
（x2）(3x5)1 19.解方程：
四、作图题（5分） 20.下列为每方格为1cm.
（1）（1分）画出△ABC绕B点顺时针旋转90°后的△A1B1C1.. （2）（3分）画出三角形绕点O顺时针旋转120°的△A2B2C2. （3）（2分）求出点C旋转到C1所经过的距离长度.
、【成都市零诊成绩查询百试通】
五、解答题（21、22题每题8分，23题10分，共26分）
21.如图6，正方形ABCD和正方形CEFG中，点D在CG上，BC=1，CE=3，点H是AF的中点，求CH的长.
22.如图7，在四边形ABCD中，已知AD//BC，E、F分别
是AD和BC的中点，B+C=90°，AD=6，EF=6，求BC的长.
23.如图8，在△ABC中，已知BAC=90°，AB=AC，AD⊥BC，AE平分BAD，交BC于点E.在△ABC外有一点F，使FA⊥AE，FC⊥BC. （1）（4分）求证：BE=CF.
（2）（6分）在AB上取一点M，使BM=2DE，连结MC，交AD与点N，连结ME，求证：①：ME⊥BC；②：DE=DN.
B卷（50分）
一、选择题（每题4分，共20分）
x10的解为. 24.方程2010x22011
m3
1的解为正数，则m的取值范围是. x11x
26.如图9，矩形ABCD中，AB=8，点E是AD上的一点，有AE=4，BE的垂直平分线交BC的延长线于点F，连结EF交CD于点G，若点G是CD 的中点，则BC的长是.
27.如图10，在正方形ABCD中，AC为对角线，点E在AB的边上，EF⊥AC于点F，连结EC，若EC=5，则正方形ABCD的面积为.
25.关于x的分式方程
28.已知关于x的方程x2(ab)xab10，x
1,x2是此方程的两个实数根，现
给出以下三个结论：①x1x2；②x1x2ab；③x1x2a2b2.其中正确的结论是.（填序号）
二、解答题（29、30题9分；31题12分）
29.先观察下列等式，然后按照你发现的规律解答下列问题： 111111111---，······ 12223233434
1111（1）（2分）计算：=. 12233445（2）（3分）探究：
1111
=.
122334n(n1)
1111
的值133557(2n1)(2n1)
22
（3）（4分）是否存在整数n，使得为
19
，若存在，请求出n的值，若不存在，请说明理由. 39
30.如图11，在正方形ABCD中，边长为2的等边三角形AEF的顶点是E、F分别在BC和CD上.求正方形ABCD的面积.
成都市2013级高中毕业班摸底测试【成都市零诊成绩查询百试通】
英语
本试卷分选择题和非选择题两部分。第I卷（选择题）1至8页，第II卷（非选择题）第9至10页，共10页；满分150分，考试时间120分钟。
注意事项：
1. 答题前，务必将自己的姓名、考籍号填写在答题卡规定的位置上。
2. 答选择题时，务必使用2B铅笔将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，再选涂其他答案标号。
3. 答非选择题时，务必使用0.5毫米黑色签字笔，将答案书写在答题卡规定位置上。
4. 所有题目必须在答题卡上作答，在试卷上答题无效。
5. 考试结束后，只将答题卡交回。
第I卷（100分）
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个小题；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 was the original price of the T-shirt?
A. $ 14. B. $ 28. C. $ 40.
2. What will Jessica do on the weekend?
A. Work on her paper. B. Make some plans. C. Go shopping.
3. What has the man decided to do on Saturdays?
A. To meet a friend. B. To visit an exhibition C. To attend a wedding.
4. Where are the two speakers?
A. In a classroom. B. At a hotel. C. In a store.
5. When does the bank close on Saturday?
A. At 9:00 pm. B. At 5:00 pm C. At 4:00 pm.
第二节 （共15个小题；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至第7题。
6. What do we know about Nora?
A. She lives near the central bus station.
B. She likes to work with other girls.
C. She prefers a room of her own.
7. What is good about the flat?
A. It has a big kitchen.
B. It has good furniture.
C. It has a large sitting room.
听第7段材料，回答第8至第9题。
8. Where has Barbara been?
A. Florence. B. Milan. C. Rome.
9. What has Barbara got in her suitcase?
A. Stones. B. Books. C. gifts.
听第8段材料，回答第10至第12题。
l0. Who is making the telephone call?
A. Jack Cooper. B. Thomas Jerry. C. Leman Brothers.
11. What is the message about?
A. A visit to England. B. The date for a trip. C. A business meeting.
12. What relation is the woman to Mr. Cooper?
A. His secretary. B. His boss. C. His wife.
听第9段材料，回答第13至第16题。
13. What color was the small car?
A. Orange. B. Green. C. yellow.
14. What was Mrs. Franks doing when the accident took place?
A. Getting ready to cross the road.
B. Walking along York Avenue.
C. Standing outside a hotel.
15. How did the accident happen?
A. A bank clerk rushed into the street.
B. A car ran into a lorry.
C. A lorry hit a car.
16. Who could the man speaker most probably be?
A. A police officer.
B. The driver of the lorry.
C. A person who saw the accident.
听第10段材料，回答第17至第20题。
17. What is the talk mainly about?
A. The plan for the day.
B. The history of the school.
C. The courses for the term.
18. Where can the visitors learn about the subjects for new students?
A. In the school hall.
B. In the classrooms.
C. In the science labs.
19. What can students do in the practical areas?
A. Attend workshops.
B. Take science courses.
C. Enjoy excellent meals.
20. When are the visitors expected to ask questions?
A. After the welcome speech.
B. Before the tour of the labs.
C. During the lunch hour.
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。
A
Thanks for signing up for the 2014 Black Friday Turkey Trot! This email will provide some basics about the race and some great news!
First, your race packet (参赛物品包) is ready and can be picked up at the Fleet Feet Sports Tulsa location you‟ve specified during registration.
Hours for pickup.
Tuesday, 10 am to 8 pm (Fleet Feet Kings Point)
Tuesday, 10 am to 7 pm (Fleet Feet Blue Dome)
Wednesday, 10 am to 5 pm (both stores, closing early for Thanksgiving)
Packets can also be picked up on the race day at BOK Center, beginning at 8:30 am.
Race Start Times
1) 5 mile, 8:30 am 2) 1 mile fun run, 9:30 am
Parking
There is surface parking to the east of the BOK Center, and some surface parking to the west of the Convention Center. Many lots will be pay-lots. Please pay attention to the signs. We suggest arriving early to find parking. Racing Timing
The 5 km run will be timed using the BIB-TAG system. Your race number will have a timing device attached to the back of the race number; don‟t remove or bend this device. Simply wear the Bib on the front of your body on the outside of your clothing so it is visible and facing forward. You don‟t need to return the Bib, which is disposable.
The Turkey Trot is also a kick-off event for our weekend long “FITNATIC” celebration---we also have a huge number of events and specials all weekend. For more information, please visit .
See you on Friday.
21. Where should a runner go to pick up his packet at 8:30 am on Friday?
A. Kings Point. B. Convention Center. C. Blue Dome D. BOK Center
22. How long will the FITNATIC celebration last?
A. Seven days. B. Five days C. Two days D. One day.
23. What is the purpose of the passage?
A. To attract sports fans to apply for the activity.
B. To inform the race participants of the activity.
C. To describe details related to the activity.
D. To collect money for the parking-lots.
B
More than 2.25 billion cups of coffee are drunk throughout the world each day, and it‟s likely that many taste bitter. Now, a new study suggests that coffee fans can make their drink sweeter by changing the color of their cups.
Researchers from Oxford set out to prove whether the claim that coffee drunk from a white cup tastes biter was true. They used 36 volunteers and three different colored cups---blue, white and transparent glass--- to examine the claim.
In one experiment, the white cup increased the intensity (浓度) of the coffee taste relative to the transparent cup. Then, in a second experiment, coffee drunk from the white cup was found to taste less sweet when compared to the other colored cups, while the blue cup made the coffee taste the sweetest.
The scientists believe that the color brown may be associated with bitterness, and coffee in a white cup appears the brownest.
“Our study clearly shows that the color of a cup does influence our sense of the coffee taste,” leading author Dr.
George Doorn, wrote in an article for The Conversation. “The effect of the color of the cup on the taste of the coffee reported here suggests that cafe owners should carefully consider the color of their cups,” he said. “The potential effects may spell the difference between a one-time purchase and a return customer.”
Actually, the idea that color can change the food and drink taste came out many years ago. A study published last year reported that red, strawberry-flavored cake served on a white plate was rated as 10 percent sweeter than the same food presented on a black plate.
24. The passage is mainly about _____.
A. the popularity of sweet coffee. B. an experiment made in Oxford.
C. the effect of cup color on coffee‟s taste D. useful tips on how to make coffee.
25. In which cup will coffee taste the sweetest?
A. A white cup. B. A blue cup. C. A transparent cup D. A brown cup
26. Café owners should consider their cups‟ color in order to ______.
A. reduce the daily expenses B. show their taste in coffee
C. appeal to more customers D. make their café different.
27. We learn from the passage that_____.
A. coffee in a white cup tastes sweeter than that in a transparent glass
B. over 2 billion cups of sweet coffee are drunk worldwide each year.
C. Dr. George Doorn wrote an article about making conversations.
D. the idea that color could affect the taste of drink is not new.
C
We should feel grateful in our heart when we accept anything others sacrifice for us. However, we often unconsciously do the opposite, which may not be regarded as returning kindness with ingratitude, but have the equal power to harm each other. In particular, the closer the relationship is, the more determined we are.
Jennifer, my friend Randy‟s mother, is already over 70, poor eyesight and weak legs. But due to her character, she chose to live alone in the suburbs. No matter how busily Randy works, he would go there to visit her once or twice every week.
That day as soon as he parked his car, Randy smelt the delicious smell of meat coming from her mother‟s house. His mother said, “Your birthday is coming next week, so I‟m preparing pork trotters (猪蹄) for you!” Seeing the steaming delicious trotters, he couldn‟t help complaining, “I don‟t like these things at all, so fatty.”
On his way back, he called me, saying that he felt sorry. In fact, he longed to thank his mother and eat up that bowl of trotters. But he felt sorry that it took her too much time and energy. If he didn‟t stop her strictly, he was afraid the same thing would continue. He would rather not eat trotters any more than have his mother overwork. I understand how he felt exactly. Each of us has done like that. Because of feeling sorry for others‟ sacrifice, we purposely harden our heart against accepting others‟ favor and even criticize them severely in order to frighten their goodness away and make them never do that again.
This method may work, but it will hurt each other‟s feelings. It‟s not wrong logically, but we always neglect another sound deep in our heart: because we‟re afraid we can‟t repay them, we‟re unwilling to shoulder others‟ goodness. So we reduce its value and refuse it severely. But to destroy others‟ goodness is also to deny you.
28. Randy refuse to eat the pork trotters his mother cooked because ____.
A. he disliked them at all B. they were really very fatty.
C. they weren‟t his favorite taste D. he didn‟t want her to overwork.
29. Randy telephoned the author to _____.
A. express his apology to his mother B. complain about his mother
C. apologize for his rudeness D. ask for a bowl of trotters.
30. According to the author, we sometimes say “no” to others‟ favor so that ______.
A. they can be frightened away B. they won‟t continue doing that
C. we needn‟t repay them later D. we won‟t feel sorry for their sacrifice
31. In the last paragraph, the author implies that we should ____.
A. refuse others‟ favor immediately B. deal with others‟ favor wisely
C. repay others‟ goodness actively D. shoulder others‟ goodness completely.
D
For a while, I wrote a “Tuesday tip” on my blog Lyonsdenmom.com. It was about easy week-night dinners, organizing parties or perhaps finding time out for friends.
About a year ago, I ran out of tips.
The truth? As a busy working mom with five busy kids, I probably do have a few tips to share. But honestly, the bar is set pretty low---on a recent day when I was walking our dog, a stranger who knew I had five kids said, “Wow! You have a dog, too?! And it even looks like you showered today!” Yes, it‟s true, I shower. Not every day, but most days. See, I‟m telling the truth. Honestly, in this cold winter, I‟m probably taking a shower more to warm up than to clean up.
Other funny truths? I‟m tired. In fact, for the past year, I‟ve been too tired to type up any update on our life here in Lyons Den. It‟s hard to arrange a career with all these kids. Although folks just believe that it must be so much easier now since all the kids are in school, I‟m here to tell you, it‟s not. It‟s really not. When I get home from work, I‟m often tearfully greeted by five kids and five homework folders filled with math facts, invitations, notices and artwork.
All those happy smiling faces I share on Facebook are real. We are a happy family---thank God for that! But we‟re not always smiling, and even in those rare best times when I can get all five kids looking at the camera, the would be that one of them isn‟t wearing underwear, one is pinching (捏) someone behind the scenes and one is just perfectly pronouncing “Damn!” So, less perfectly-posed pictures, but more telling the truth. Even if only on Tuesday.
32. It seems that the author‟s life used to be _____.
A. tiring B. busy C. relaxing D. funny
33. Which of the following is true about the author?
A. She can‟t get along well with her neighbors.
B. She‟s living a happy life with her family
C. She likes to have a shower every day.
D. She has already closed her blog now.
34. Which of the following words can best take the place of the word ?
A. answers. B. chances. C. solutions D. ways.
35. The passage mainly talks about _____.
A. the happiness of a working mother B. the worry of a working mother
C. the hardship of a working mother D. the bittersweet of a working mother
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。选项中有两项为多余选项。
People tend to become more personal and hide less of themselves when using email. Some Britain researchers have found in a recent study that there are good reasons for this.
The team of researchers asked 83 pairs of students, all strangers to each other, to solve a problem. They had to discuss this question: ___36____ The pairs of students had to talk over the problem either face to face or by computers. Dr. Johnson said, “They told their partners four times as much about themselves when they talked over the Internet as when they talked face to face. When the computers were fitted with cameras so that students could see each other, this limited the personal side of the conversation.”
___37___ It was mainly about things such as where they went to school, or where they used to live. But some students discussed their love stories, and personal childhood experiences.
Dr. Johnson believes that emailing encourages people to focus on themselves. __38__ “If you cannot see the
成都市2013级高中毕业班摸底测试
英语
本试卷分选择题和非选择题两部分。第I卷（选择题）1至8页，第II卷（非选择题）第9至10页，共10页；满分150分，考试时间120分钟。
注意事项：
1. 答题前，务必将自己的姓名、考籍号填写在答题卡规定的位置上。
2. 答选择题时，务必使用2B铅笔将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，再选涂其他答案标号。
3. 答非选择题时，务必使用0.5毫米黑色签字笔，将答案书写在答题卡规定位置上。
4. 所有题目必须在答题卡上作答，在试卷上答题无效。
5. 考试结束后，只将答题卡交回。
第I卷（100分）
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个小题；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 was the original price of the T-shirt?
A. $ 14. B. $ 28. C. $ 40.
2. What will Jessica do on the weekend?
A. Work on her paper. B. Make some plans. C. Go shopping.
3. What has the man decided to do on Saturdays?
A. To meet a friend. B. To visit an exhibition C. To attend a wedding.
4. Where are the two speakers?
A. In a classroom. B. At a hotel. C. In a store.
5. When does the bank close on Saturday?
A. At 9:00 pm. B. At 5:00 pm C. At 4:00 pm.
第二节 （共15个小题；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至第7题。
6. What do we know about Nora?
A. She lives near the central bus station.
B. She likes to work with other girls.
C. She prefers a room of her own.
7. What is good about the flat?
A. It has a big kitchen.
B. It has good furniture.
C. It has a large sitting room.
听第7段材料，回答第8至第9题。
8. Where has Barbara been?
A. Florence. B. Milan. C. Rome.
9. What has Barbara got in her suitcase?
A. Stones. B. Books. C. gifts.
听第8段材料，回答第10至第12题。
l0. Who is making the telephone call?
A. Jack Cooper. B. Thomas Jerry. C. Leman Brothers.
11. What is the message about?
A. A visit to England. B. The date for a trip. C. A business meeting.
12. What relation is the woman to Mr. Cooper?
A. His secretary. B. His boss. C. His wife.
听第9段材料，回答第13至第16题。
13. What color was the small car?
A. Orange. B. Green. C. yellow.
14. What was Mrs. Franks doing when the accident took place?
A. Getting ready to cross the road.
B. Walking along York Avenue.
C. Standing outside a hotel.
15. How did the accident happen?
A. A bank clerk rushed into the street.
B. A car ran into a lorry.
C. A lorry hit a car.
16. Who could the man speaker most probably be?
A. A police officer.
B. The driver of the lorry.
C. A person who saw the accident.
听第10段材料，回答第17至第20题。
17. What is the talk mainly about?
A. The plan for the day.
B. The history of the school.
C. The courses for the term.
18. Where can the visitors learn about the subjects for new students?
A. In the school hall.
B. In the classrooms.
C. In the science labs.
19. What can students do in the practical areas?
A. Attend workshops.
B. Take science courses.
C. Enjoy excellent meals.
20. When are the visitors expected to ask questions?
A. After the welcome speech.
B. Before the tour of the labs.
C. During the lunch hour.
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。
A
Thanks for signing up for the 2014 Black Friday Turkey Trot! This email will provide some basics about the race and some great news!
First, your race packet (参赛物品包) is ready and can be picked up at the Fleet Feet Sports Tulsa location you‟ve specified during registration.
Hours for pickup.
Tuesday, 10 am to 8 pm (Fleet Feet Kings Point)
Tuesday, 10 am to 7 pm (Fleet Feet Blue Dome)
Wednesday, 10 am to 5 pm (both stores, closing early for Thanksgiving)
Packets can also be picked up on the race day at BOK Center, beginning at 8:30 am.
Race Start Times
1) 5 mile, 8:30 am 2) 1 mile fun run, 9:30 am
Parking
There is surface parking to the east of the BOK Center, and some surface parking to the west of the Convention Center. Many lots will be pay-lots. Please pay attention to the signs. We suggest arriving early to find parking. Racing Timing
The 5 km run will be timed using the BIB-TAG system. Your race number will have a timing device attached to the back of the race number; don‟t remove or bend this device. Simply wear the Bib on the front of your body on the outside of your clothing so it is visible and facing forward. You don‟t need to return the Bib, which is disposable.
The Turkey Trot is also a kick-off event for our weekend long “FITNATIC” celebration---we also have a huge number of events and specials all weekend. For more information, please visit .
See you on Friday.
21. Where should a runner go to pick up his packet at 8:30 am on Friday?
A. Kings Point. B. Convention Center. C. Blue Dome D. BOK Center
22. How long will the FITNATIC celebration last?
A. Seven days. B. Five days C. Two days D. One day.
23. What is the purpose of the passage?
A. To attract sports fans to apply for the activity.
B. To inform the race participants of the activity.
C. To describe details related to the activity.
D. To collect money for the parking-lots.
B
More than 2.25 billion cups of coffee are drunk throughout the world each day, and it‟s likely that many taste bitter. Now, a new study suggests that coffee fans can make their drink sweeter by changing the color of their cups.
Researchers from Oxford set out to prove whether the claim that coffee drunk from a white cup tastes biter was true. They used 36 volunteers and three different colored cups---blue, white and transparent glass--- to examine the claim.
In one experiment, the white cup increased the intensity (浓度) of the coffee taste relative to the transparent cup. Then, in a second experiment, coffee drunk from the white cup was found to taste less sweet when compared to the other colored cups, while the blue cup made the coffee taste the sweetest.
The scientists believe that the color brown may be associated with bitterness, and coffee in a white cup appears the brownest.
“Our study clearly shows that the color of a cup does influence our sense of the coffee taste,” leading author Dr.
George Doorn, wrote in an article for The Conversation. “The effect of the color of the cup on the taste of the coffee reported here suggests that cafe owners should carefully consider the color of their cups,” he said. “The potential effects may spell the difference between a one-time purchase and a return customer.”
Actually, the idea that color can change the food and drink taste came out many years ago. A study published last year reported that red, strawberry-flavored cake served on a white plate was rated as 10 percent sweeter than the same food presented on a black plate.
24. The passage is mainly about _____.
A. the popularity of sweet coffee. B. an experiment made in Oxford.
C. the effect of cup color on coffee‟s taste D. useful tips on how to make coffee.
25. In which cup will coffee taste the sweetest?
A. A white cup. B. A blue cup. C. A transparent cup D. A brown cup
26. Café owners should consider their cups‟ color in order to ______.
A. reduce the daily expenses B. show their taste in coffee
C. appeal to more customers D. make their café different.
27. We learn from the passage that_____.
A. coffee in a white cup tastes sweeter than that in a transparent glass
B. over 2 billion cups of sweet coffee are drunk worldwide each year.
C. Dr. George Doorn wrote an article about making conversations.
D. the idea that color could affect the taste of drink is not new.
C
We should feel grateful in our heart when we accept anything others sacrifice for us. However, we often unconsciously do the opposite, which may not be regarded as returning kindness with ingratitude, but have the equal power to harm each other. In particular, the closer the relationship is, the more determined we are.
Jennifer, my friend Randy‟s mother, is already over 70, poor eyesight and weak legs. But due to her character, she chose to live alone in the suburbs. No matter how busily Randy works, he would go there to visit her once or twice every week.
That day as soon as he parked his car, Randy smelt the delicious smell of meat coming from her mother‟s house. His mother said, “Your birthday is coming next week, so I‟m preparing pork trotters (猪蹄) for you!” Seeing the steaming delicious trotters, he couldn‟t help complaining, “I don‟t like these things at all, so fatty.”
On his way back, he called me, saying that he felt sorry. In fact, he longed to thank his mother and eat up that bowl of trotters. But he felt sorry that it took her too much time and energy. If he didn‟t stop her strictly, he was afraid the same thing would continue. He would rather not eat trotters any more than have his mother overwork. I understand how he felt exactly. Each of us has done like that. Because of feeling sorry for others‟ sacrifice, we purposely harden our heart against accepting others‟ favor and even criticize them severely in order to frighten their goodness away and make them never do that again.
This method may work, but it will hurt each other‟s feelings. It‟s not wrong logically, but we always neglect another sound deep in our heart: because we‟re afraid we can‟t repay them, we‟re unwilling to shoulder others‟ goodness. So we reduce its value and refuse it severely. But to destroy others‟ goodness is also to deny you.
28. Randy refuse to eat the pork trotters his mother cooked because ____.
A. he disliked them at all B. they were really very fatty.
C. they weren‟t his favorite taste D. he didn‟t want her to overwork.
29. Randy telephoned the author to _____.
A. express his apology to his mother B. complain about his mother
C. apologize for his rudeness D. ask for a bowl of trotters.
30. According to the author, we sometimes say “no” to others‟ favor so that ______.
A. they can be frightened away B. they won‟t continue doing that
C. we needn‟t repay them later D. we won‟t feel sorry for their sacrifice
31. In the last paragraph, the author implies that we should ____.
A. refuse others‟ favor immediately B. deal with others‟ favor wisely
C. repay others‟ goodness actively D. shoulder others‟ goodness completely.
D
For a while, I wrote a “Tuesday tip” on my blog Lyonsdenmom.com. It was about easy week-night dinners, organizing parties or perhaps finding time out for friends.
About a year ago, I ran out of tips.
The truth? As a busy working mom with five busy kids, I probably do have a few tips to share. But honestly, the bar is set pretty low---on a recent day when I was walking our dog, a stranger who knew I had five kids said, “Wow! You have a dog, too?! And it even looks like you showered today!” Yes, it‟s true, I shower. Not every day, but most days. See, I‟m telling the truth. Honestly, in this cold winter, I‟m probably taking a shower more to warm up than to clean up.
Other funny truths? I‟m tired. In fact, for the past year, I‟ve been too tired to type up any update on our life here in Lyons Den. It‟s hard to arrange a career with all these kids. Although folks just believe that it must be so much easier now since all the kids are in school, I‟m here to tell you, it‟s not. It‟s really not. When I get home from work, I‟m often tearfully greeted by five kids and five homework folders filled with math facts, invitations, notices and artwork.
All those happy smiling faces I share on Facebook are real. We are a happy family---thank God for that! But we‟re not always smiling, and even in those rare best times when I can get all five kids looking at the camera, the would be that one of them isn‟t wearing underwear, one is pinching (捏) someone behind the scenes and one is just perfectly pronouncing “Damn!” So, less perfectly-posed pictures, but more telling the truth. Even if only on Tuesday.
32. It seems that the author‟s life used to be _____.
A. tiring B. busy C. relaxing D. funny
33. Which of the following is true about the author?
A. She can‟t get along well with her neighbors.
B. She‟s living a happy life with her family
C. She likes to have a shower every day.
D. She has already closed her blog now.
34. Which of the following words can best take the place of the word ?
A. answers. B. chances. C. solutions D. ways.
35. The passage mainly talks about _____.
A. the happiness of a working mother B. the worry of a working mother
C. the hardship of a working mother D. the bittersweet of a working mother
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。选项中有两项为多余选项。
People tend to become more personal and hide less of themselves when using email. Some Britain researchers have found in a recent study that there are good reasons for this.
The team of researchers asked 83 pairs of students, all strangers to each other, to solve a problem. They had to discuss this question: ___36____ The pairs of students had to talk over the problem either face to face or by computers. Dr. Johnson said, “They told their partners four times as much about themselves when they talked over the Internet as when they talked face to face. When the computers were fitted with cameras so that students could see each other, this limited the personal side of the conversation.”
___37___ It was mainly about things such as where they went to school, or where they used to live. But some students discussed their love stories, and personal childhood experiences.
Dr. Johnson believes that emailing encourages people to focus on themselves. __38__ “If you cannot see the
四川省成都市2015届高三摸底（零诊）
数学（理）试题
本试卷分选择题和非选择题两部分。满分150分，考试时间120分钟． 注意事项
1．答题前，务必将自己的姓名、考籍号填写在答题卡规定的位置上。
2．答选择题时，必须使用2B铅笔将答题卡上对应题目的答案标号涂黑，如需改动，用椽皮撵
擦干净后，再选涂其它答案标号。
3．答非选择题时，必须使用0．5毫米黑色签字笔，将答案书写在答题卡规定的位置上。 4．所有题目必须在答题卡上作答，在试题卷上答题无效。 5．考试结束后，只将答题卡交回。
第I卷（选择题，共50分）
一、选择题．本大题共10小题，每小题5分，共50分，在每小题给出的四个选项中，只有一项是
符合题目要求的。 1．已知向量a=（5，-3），b=（-6，4），则a+b= （A）（1，1） （B）（-1，-1） （C）（1，-1） （D）（-1，1） 2．设全集U={1，2，3，4}，集合S={l，3}，T={4}，则（ðUS） （A）{2，4} （B）{4}
3．已知命题p：x∈R，2=5，则p为 （A）xR,2=5 （C）x0∈R，2
x0x
x
T等于
（D）{1,3,4}
（C）
（B）xR,25 （D）x0∈R，2（C）log63
x0
x
=5 ≠5
4．计算21og63 +log64的结果是 （A）log62 （B）2
（D）3
x0
5．已知实数x，y满足y0，则z=4x+y的最大值为
xy2
（A）10 （B）8 （C）2 （D）0 6．已知a，b是两条不同直线，a是一个平面，则下列说法正确的是 （A）若a∥b．b，则a// （B）若a//，b，则a∥b （C）若a⊥，b⊥，则a∥b （D）若a⊥b，b⊥，则a∥
7．PM2.5是指大气中直径小于或等于2.5微米的颗粒物，也称为可A肺颗粒物，般情况下PM2.5浓
度越大，大气环境质量越差右边的茎叶图表示的是成都市区甲、乙两个监测站某10日内每天的PM2.5浓度读数（单位：g/m3）则下列说法正确的是 （A）这l0日内甲、乙监测站读数的极差相等
（B）这10日内甲、乙监测站读数的中位数中，己的较大 （C）这10日内乙监测站读数的众数与中位散相等 （D）这10日内甲、乙监测站读数的平均数相等
8．已知函数f（x）
xcosx(0)的图象与直线y= -2的
两个相邻公共点之间的距离等于x，则f（x）的单调递减区间是 （A）k
【成都市零诊成绩查询百试通】
6
,k
2
,k∈z 34
,k∈z 3
（B）k
3
,k
6
,k∈z
（C）2k
3
,2k
（D）2k
12
,2k
5
,k∈z 12
x2,x(1,1)
9．已知定义在R上的偶函数（fx）满足（f4－x）=f（x），且当x∈1,3时，（fx）=
1cosx,x1,32
则g（x）=f（x）－|1gx|的零点个数是
（A）7 （B）8
（C）9
（D）10
x22x2y210．如图，已知椭圆Cl：+y=1，双曲线C2：22=1（a>0，b>0），若以C1的长轴为直径的
ab11
圆与C2的一条渐近线相交于A，B两点，且C1与该渐近线的两交点将
线段AB三等分，则C2的离心率为 （A）5 （C
（B
（D
第Ⅱ卷（非选择题，共100分）
二、填空题：本大题共5小题，每小题5分，共25分答案填在答题卡上。 11．已知a∈0,
4
，则sin() 。 ,cos
25
1
的最小值是____ 。 x1
12．当x>1时，函数y=x+
13．如图是一个几何体的本视图，则该几何体的表面积是
14．运行如图所示的程序框图，则输出的运算结果是 15．已知直线y=kx
1
与曲线y恰有两个不同交点，记k的所有可能取值构成集合A；P4
y1x2y2
=l上一动点，点P1（x1，y1）与点P关于直线y=x+l对称，记1（x，y）是椭圆的
4169
所有可能取值构成集台B若随机地从集合A，B中分别抽出一个元素1，2，则1>2的概率是____ 。
三、解答题：本大题共6小题，共75分解答应写出立字说明、证明过程或推演步骤。 16．（本小题满分12分）
已知等差数列{an}的前n项和为Sn，且a2=3，S7=49，nN*。 （I）求数列{an}的通项公式；
(an1)2n1
（Ⅱ）设b2，求数列{bn}的前n项和Tn．
n
17．（本小题满分12分） 在△ABC中，角A,B,C所对的边分别是a,b,c，已知向量m=（a－b，c－a），n=（a+b，c）且m·n=0。 （I）球角B的大小； （Ⅱ）求函数f（A）=sinA
的值域。 6
18．（本小题满分12分）
某地区为了解高二学生作业量和玩电脑游戏的情况，对该地区内所有高二学生采用随机抽样的
方法，得到一个容量为200的样本统计数据如下表：
（I）已知该地区共有高二学生42500名，根据该样本估计总体，其中喜欢电脑游戏并认为作业不
多的人有多少名？
（Ⅱ）在A，B．C，D，E，F六名学生中，但有A，B两名学生认为作业多如果从速六名学生中
随机抽取两名，求至少有一名学生认为作业多的概率。 19．（本小题满分12分）
如图，已知⊙O的直径AB=3，点C为⊙O上异于A，B的一点，VC⊥
平面ABC，且VC=2，点M为线段VB的中点。 （I）求证：BC⊥平面VAC；
（Ⅱ）若AC=l，求二面角M－VA－C的余弦值。 20．（本小题满分13分）
在平面直角坐标系x Oy中，点P是圆x2+y2=4上一动点，PD⊥x轴于点D，记满足
OM
1
(OPOD)的动点M的轨迹为F。 2
（I）求轨迹F的方程；
（Ⅱ）已知直线l：y=kx+m与轨迹F交于不同两点A，B，点G是线段AB中点,射线OG交轨迹
F于点Q，且OQOG,∈R。
①证明：2m2=4k2+1；
②求△AOB的面积S（）的解析式，并计算S（）的最大值。
21．（本小题满分14分，
巳知函数f（x）=x1nx，g（x）= （I）求函数f（x）的最小值；
（Ⅱ）当a>0，且a为常数时，若函数h（x）=x[g（x）+1]对任意的x1>x2≥4，总有
成立，试用a表示出b的取值范围； （Ⅲ）当b=12
ax－bx，其中a，b∈R。 3
h(x10h(x2)
0
x1x2
23
a时，若f （x+1）≤g（x）对x∈[0，+∞）恒成立，求a的最小值。 3
2
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