2016年大连中考真题
篇一：2016年大连中考物理试卷
大连市2016年初中毕业升学考试
物理
注意事项：
1.请在答题卡上作答，在试卷上作答无效。
2.物理试卷共五大题，1—32小题，满分90分。
第一卷 物理
一、选择题（本题共14小题 ，每小题2分，共28分） 注意：第1～11题中，每题只有一个选项正确。 1.我们通常所说的男高音的“高”是指声音的 A.响度 B.音色 C.音调 D.振幅 2.下列做法中，符合安全用电常识的是 A.将家用电器金属外壳接地 B.使用绝缘皮破损的电线供电 C. 用湿毛巾擦拭正在发光的电灯D.在高压输电线附近放风筝 3.下列设备中，利用了电磁感应原理工作的是 A.电动机 B.动圈式话筒 C.电磁起重机 D.扬声器 4.下列各种摩擦中，应该设法减小的是 A.使用滑轮时，轮与轴之间的摩擦 B.跑步时，鞋底与地面之间的摩擦 C.拔河比赛时，手和绳子之间的摩擦 D.自行车刹车时，闸皮与车圈之间的摩擦 5.下列过程中，通过热传递的方式改变物体内能的是 A.寒冷的冬天，通过搓手来取暖B.用铁锤锻打工件，工件会发热 C.做饭时，用炉火对锅里的水加热 D.把铁丝反复弯折，弯折处变热
6.箱子静止在水平地面上，工人沿水平方向用力推箱子，但没推动，则与推力相平衡的力是 A.箱子受到的重力B.箱子对地面的压力C.地面对箱子的支持力 D.地面对箱子的摩擦力 7. 下列家庭电路中，开关S和电灯L的接线正确的是
A B C
8.在做凸透镜成像实验时，将点燃的蜡烛沿着光具座，从凸透镜二倍焦距以外的某位置向焦点移动。在此过程中，像的大小及像距的变化情况是 A.像和像距都逐渐变大B.像和像距都逐渐变小 C.像逐渐变大，像距逐渐变小 D.像逐渐变小，像距逐渐变大
9.如图1所示的电路中，闭合形状S，灯L不发光，电流表有示数，电压表无示数。则电路的故障可能是
A.电阻R被短接
B.灯L被短接 C.灯L的灯丝断了
D.电阻R的接线柱接触不良10.
图1
10.如图2所示，小球在A点由静止开始释放，向右侧摆动，B点是小球摆动的最低点，C点是小球摆动到右侧的最高点，且A、C两点到B点的竖直距离hA＞hC。在小球从B点摆动到C点的过程中，下列说法正确的是 A.小球的运动状态保持不变 B.小球的机械能总量逐渐减小
C.绳的拉力对小球做了功
D.小球的动能全部转化为重力势能 11.一个小石块从空中的某一高度，由静止开始竖直下落，若不计空气阻力，从小石块开始下落，到刚落到地面的过程中，小石块的重力势能Ep随着时间的变化图像可能是
E EEE
B
注意：第12～14小题中，每题至少有两个选项正确。
12. 如图3所示，将注射器的小孔用橡皮帽堵住，快速推动活塞，压缩注射器内的空气。则注射器内的空气 A.密度变小 B.温度升高 C.压强不变
图
3 D.内能增大
13. 水平桌面上有甲、乙两个相同的烧杯，都装有一些水，将不同材料制成的、体积相同的两个空心
球a和b放入两个烧杯的水中，静止时，a球下沉到烧杯底部，b球漂浮在水面，且两个烧杯中的水面恰好相平，如图4所示。则下列说法正确的是
A.两个烧杯底部受到水的压力相等 B.a球受到的浮力大于b球受到的浮力
C.a球材料的密度一定大于b球材料的密度
D.甲烧杯对桌面的压力大于乙灯杯对桌面的压力
14.如图5所示，电源电压不变，闭合开关S，滑动变阻器的滑片P位于b端，此时电阻R1和R2的功率相等。将滑动变阻器的滑片P从b端滑到中点。下列说法正确的是 A.电路的总电阻变小 B.电阻R1的功率小于电阻R2的功率 C.电阻R1的电流变化量小于电阻R2的电流变化量
D.滑动变阻器的电流变化量小于电阻R2的电流变化量
图5
二、填空题（本题 共10小题，每小题2分，共20分）
15.小明坐在行驶的火车上，看到路边的树木向后运动，他是以为参照物的。当火车突然减速时，小明会向前倾倒，这是因为小明具有。
16.将玻璃棒和丝绸摩擦，玻璃棒会带上电荷；用一个带负电的物体去靠近一个带负电的轻质小球，小球会被（选填“吸引”或“排斥”）。
17.煤和石油都属于能源（选填“可再生”或“不可再生”）；路灯上安装的光电池板是用材料（选填“超导体”或“半导体”）。
18.小明在竖直放置的平面镜前0.5m处，他在镜中的像与他相距。当他远离镜子时，像的大小将。
19.某同学要将水和硫酸铜溶液装入量筒中做“液体扩散”实验，已知水的密度小于硫酸铜溶液的密度。装好液体后，处于量筒底部的液体是。装好液体的量筒所处的环境温度越高，液体颜色变均匀所用的时间越短，这说明温度越高，液体扩散得越。
20.当火车驶进车站时，如果车站上的乘客站在安全线和火车之间，则乘客与火车之间的空气流速将，空气压强将，容易引发危险。（都选填“变大”“不变”或“变小”） 21.在探究“萘熔化时温度的变化规律”时，萘的颗粒一点好（选填“大”或“小”）。加热过
程中，用搅拌器不断地搅拌，目的是使萘各处的趋于一致。
22.如图6所示，GMR为巨磁电阻，其阻值随着磁场
的增强而急剧减小。闭合开关S1和S2，电磁铁的右 端是极；将滑动变阻器的滑片P从中点滑到b
a b 端时，电压表的示数将（选填“变大”“不变”或“变小”）。
23.如图7所示，一束光从空气斜射到水面上，请画出折射光线。 图
6 24.如图8所示，用杠杆将物体A吊起，O点是支点，请画出拉力F1的力臂l1和物体A所受的重力G的示意图。
图
7
三、计算题（本题共3小题，共20分）
25.（6分）用炉子烧水时，将10kg的水从20℃加热到100℃，燃烧了0.5kg的焦炭。水的比热容是4.2×103J/（kg·℃），焦炭的热值是3.0×107J/kg。试求： （1）水吸收的热量是多少？
（2）0.5kg焦炭完全燃烧释放的热量是多少？ （3）炉子烧水的效率是多少？
26.（8分）图9是某课外活动小组设计的小台灯电路图，S为单刀双掷开关，电源电压为12V，且保持不变，小灯泡的额定功率是6W，电阻R的阻值为6Ω。当开关S接“2”时，小灯泡恰好正常发光。若灯丝电阻不变，试求： （1）小灯泡的额定电流是多少？灯丝的电阻是多少？ （2）小灯泡正常发光5min，电流通过小灯泡做的功是多少？
（3）开关S接“1”时，电阻R的功率是多少？
R
图9
27. （6分）一个重260N的涂料桶放在水平地面上，涂料桶与地面的接触面积为0.1m2，工人用如图10所示的滑轮组，在20s内将涂料桶提高了5m，工人对绳子自由端施加的拉力F为150N。试求： （1）涂料桶放在水平地面上时，对地面的压强是多少？ （2）拉力F所做的功是多少？ （3）拉力F做功的功率是多少？
图10
四、简答题（本题共2小题，每小题3分，共6分）
28.夏天，持续数日的高温天气后，下了一场急雨，雨后，山林中升起飘渺的白雾。请分析说明白雾形成的原因。
29. 如图11所示，两端开口的直筒下端浸在水中，在用拉力F缓慢向上拉动活塞的过程中，筒内、外水面高度差h逐渐变大（活塞下面的筒内始终充满水），拉力F逐渐变大，不计活塞与筒壁之间的摩擦及活塞的重力，请分析说明拉力F变大的原因。
五、综合题（本题共3小题，共16分）
30.（5分）某同学猜想电流通过导体产生的热量与电流、电阻和通电时间有关，为了探究“电流通过导体产生的热量与电流是否有关”，所用的实验器材有：电压为6V的电源，电流表、滑动变阻器、停表、开关各一个；与U形相连的塑料盒一个，盒内密封着空气盒内电阻丝的阻值为10Ω；导线若干。
（1）用笔画代替导线，将图12中的电路连接完整。
（2）闭合开关前，应将滑动变阻器的滑片移动到端。（选填“a”或“b”） （3）该实验是通过来反映电流通过电阻丝产生热量的多少。
（4）该同学设计实验时，将三次实验的通电时间均设定为15s，三次实验预设的电流值分别是I1、I2和I3，则该同学进行第一次实验的操作是：闭合开关， 。
31.（5分）已知浮力的大小与液体的密度和排开液体的体积有关，为了探究“浮力大小与物体排开液体体积的关系”，所用的实验器材有：重力为2N、体积为60cm3的柱状物块一个，装有适量水的大量筒一个，规格不同的甲（量程为0～2.5N、分度值为0.05N）、乙（量程为0～5N，分度值为0.2N）两个弹簧测力计。
（1）实验中，量筒里的水要“适量”，水“适量”的标准是：。 【只选择一个选项，将选项前的字母填写在横线上】 A.水的体积至少是60cm3
B.物块一半体积能浸没在水中即可 C.物块能够浸没在水中即可
D.能测出物块排开液体最大体积，且物块没接触到量筒底部 （2）请分析说明应该取哪个弹簧测力计进行实验。
（3）画出记录实验数据的表格，表中要有必要的信息。
32.（6分）小明在探究“物距和物高一定时，物体经小孔所成的像的高度和像距的关系”时，所用的实验器材有：用发光二极管做成的物体、有小孔的方纸板、用半透明塑料膜做成的屏、量程为0～30cm的直尺，实验装置的示意图如图13所示。
图13 （1）该实验应该在较的环境下进行。（选填“亮”或“暗”）
（2）记录的实验数据如下表，请在方格纸上画出像高与像距的关系图像。
篇二：2016年大连中考英语模拟试题
百思特教育2016年大连中考英语模拟试题
Ι.单项填空（本题共16小题，每小题1分，共16分）
1. Mr. Wang lives _______that building. His house is on the sixth floor.
A. withB. at C. in D. on
2. I don?t like eating chocolate. The taste is too ________.
A. crispy B. delicious C. saltyD. sweet
3. Your dictionary is very useful. Where did you buy___? I want to buy ____, too.
A .one, oneB. it, one C. it, it D. one, it
4. I enjoy______English films. It' s a great way to learn English.
A. watches B. watchedC. watching D. to watch
5. This toy bear _______ be Jane?s. She?s the only kid at the picnic.
A. must B. can C. need D. can?t
6. ---Would you like apples __________ bananas?
---I prefer apples __________ bananas.
A. to; or B. or; to C. than; to D. or; than
7. Could you tell me ____?
Yes. They _____ to the library.
A. where are the twins, have been B. where the twins are, have gone
C. where were the twins, have been D. where the twins, have gone
8. It was dark. I can?t see the words on the wall ______.
A. clear B. clearlyC. clean D. clearing
9. We must do everything we can ___ waste water from running into the river.
A. keepB .keptC. to keepD. keeping
10.---I?m going to Hangzhou for a holiday this weekend.
---______ you are there, could you buy me some green tea?
A. WhileB. BecauseC. AfterD. Though
11. --- She parked her car outside the window______, but the next morning she found it missing.
A. as usualB. at firstC. at least D. ever since
12. We should use plastic bags to help the environment. Let?s say goodbye to them.
A. fewer B. more C. some D. less
13. ---Haven?t you been to Paris?
----__________, but I will go there with my parents one day.
A. Yes, I haven?tB. No, I haveC. Yes, I have D. No, I haven?t
14.― Why are you learning to cook?
―Because I have to cook myself when I leave home. Now our parents almost do______for us.
A. something B. nothingC. eachD. everything
15. Mrs. Smart can make lessons_________are usually boring more interesting.
A. when B. how C. that D. who
16. ---Don?t drop litter on the ground.---_________.
A. It doesn?t matter B. I am happy. C. I?d love toD. Sorry, I won?t.
Ⅱ. 完形填空（一）（本题共10小题，每小题1分，共10分）
阅读下面短文，理解其大意。然后从各题所给的四个选项中，选出可以填入空白处的最佳选项。
When we see a cigarette box, we?ll see “Smoking is harmful to your health” on it. Children are not ___ 17__to smoke by their parents or teachers. But in many countries__ 18__ is becoming a bigger problem for young people. Most smokers ___19___ in their teens or earlier.
Some students think smoking is very cool, and they can see many people smoking around them. They want to have a___20___. “If young people start smoking early, they will probably get addicted(上瘾的)to nicotine(尼古丁). And it will be very hard to__21___ later on,” said a professor. A study shows smoking is a problem for many Chinese teens.___22___ can we do to make them stop smoking? Some people think we can __23___a law. Teenagers under 18 are not allowed to smoke, or they should be fined. Parents should give up smoking. They can set an example___24___their children.
“Every year about four million people die of smoking. And if people___25___smoking, the number will increase 10 million a year from now on,” said the World Health Organization. So we must learn and tell others about the___26___of smoking.
17. A. asked B. allowed C. interested D. suggested
18. A. smoke B. smokes C. smokingD. smokers
19. A. make B. stop C. start D. finish
20. A. sleepB. restC. look D. try
21. A. get up B. give up C. stay up D. look up
22. A. HowB. What C. WhenD. Why
23. A. making B. makes C. to make D. make
24. A. for B. to C. at D. of
25. A. begin B. keep C. stop D. end
26. A. danger B. good C. use D. point
Ⅲ. 阅读理解（一）（本题共19小题，每小题2分，共38分）
A. 阅读下列短文，passage1为判断正误题，正确请在括号内填上T错误请填上F；passge2-3请在各题所给的四个选项中找出最佳选项。
Passage1
Once upon a time some, some little frogs held a competition. The first to reach the top of a very high tower would be the winner .A big crowd gathered around the tower to see the race and cheer them on.
The race began .No one in the crowd really believed that any of the tiny frogs would reach the top of tower.”I'm sure no one will make it ", someone said.
One by one, the tiny frogs fell down.
The crowd kept shouting,” It?s too difficult! Give up!"
More frogs got tired and gave up, but one continued climbing, higher and higher .This one wouldn't give up.
In the end, he was the only one left .The only one to get to the top .The other frogs naturally wanted to know: How did the frog make it?
One frog stepped forward to ask the winner .It turned out ...that the winner was deaf.
He had won because he was able to keep his own mind .He couldn't hear others ' words; Now, do you understand why he succeed?
27. ( ) Some frogs held a competition to see who could reach the top of a tower
28. ( ) the underline words "make it "in the second paragraph mean "succeed"
29. ( ) the frog got the top because he was better at climbing than others
30. ( ) two frogs got to the top at last
31. ( ) From the passage we can learn that we shouldn't let others stop us on our way to the goal
Passage2
An English traveler found himself in Norway with only enough money to buy the ticket for him to go back home. As he knew that it would take him only two days to get to England, he decided that he could easily spend the time without food. So he bought a ticket and got on the ship. The man closed his ears to the sound of the lunch bell. When dinnertime came, he didn?t go to dinning room, saying that he was not feeling very well.
The next morning he still didn?t have breakfast and at lunchtime he again stayed in his room. But at dinnertime he was so hungry that he went to the dinning room and ate everything the waiter put in front of him. He got ready for the quarrel(争执).
“Bring me the bill,” he said. “The bill, sir?” said the waiter in surprise. “There isn?t any bill. On our ship meals are included (包括) in the money for the ticket,” said the waiter.
32. The story happened _________.
A. in England B. on a ship from Norway to England
C. in Norway D. on a ship from England to Norway
33. The traveler didn?t go to the dinning room first because __________.
A. he had no moneyB. he didn?t feel very well
C. he didn?t want to eat anythingD. he didn?t hear the sound of the bell
34. The traveler went to the dinning room to eat something because ______.
A. his friend had given him some money B. the waiter had asked him to change his mind
C. he learned that there was no bill on the ship D. he was too hungry
35. The traveler had _________ on the ship.
A. only one meal B. two meals C. three mealsD. none
36. After the traveler finished eating, __________.
A. he had a quarrel with waiter over the billB. he drank a lot
C. he asked the waiter to bring him the change (零钱)
D. he came to know that travelers on the ship had free meals
Passage3
Once Effendi had a joke with the Prime Minister (宰相). He said that the Minister would die the next day. The next day, the Minister fell to the ground from the horse and really died. When the king learned this, he got angry and sent his men to catch Effendi at once.
When Effendi was brought to him, the king shouted angrily, “Effendi, since (既然) you knew when my Minister would die, you must know the date of your own death (死) . Say it out, or you?ll die today.”
Effendi looked at the king for a while. Then he answered, “But how can I know? I?ll die two days earlier than you.” The king was afraid that if he killed Effendi, he himself would die after that. He thought he must keep Effendi alive (活着) as long as possible, so he let Effendi go.
37.This story tells us ________.
A. how Effendi fooled (愚弄) the king B. when the king would die
C. why the Minister diedD. Effendi knew the dates of everyone?s death
38. The Prime Minister died because ________.
A. Effendi killed himB. Effendi said he would die
C. He was badly ill D. He fell off the horse
39. Why did the king ask Effendi to tell him the date of Effendi?s own death?
A. Because the king wanted to know when he himself would die.
B. Because the wanted to find an excuse to kill Effendi.
C. Because he himself had known the date of Effendi?s death.
D. Because he wanted to know when Effendi would die.
40. The king let Effendi go because ________.
A. he hoped to live a long lifeB. he was afraid of Effendi
C. he didn?t believe (相信) Effendi?s words D. He knew he would die two days later
41. Which of the following is not true?
A. Effendi played a joke on the Minister B. The king was afraid of death.
C. Effendi didn?t know when the king would die.
D. If the king killed Effendi, he himself would die two days later.
Passage4
For most. people, the word "fashion" means "clothes". But people ask question, "What clothes are fashion?" And they use the adjective "fashionable" in the same way: ".she was wearing a fashionable coat. ""His shirt was really a fashionable color. "
But of course there are fashions in many things, not only in clothes. There are fashions in holidays, in restaurants, in films and books. There are even fashions in school subjects, jobs and in languages.
Fashions change as time goes. If you look at pictures of people or things from the past, you will feel that fashions have always changed. An English house of 1750 was different from one of 1650. A fashionable man in 1780 looked very different from his grandson in 1860.Today fashions change very quickly. Some of this is natural. We hear about things much more quickly than in the past. Newspapers, radios, telephones and television send information from one country to another in a few hours.
New fashions mean that people will buy new things, so you see there is money in fashion.
42. From this passage we know that "fashion" means ____
A. clothes B. nice things
C. most of the popular things D. everything
43. Which of the following things is fashionable today?
A. Surfing on the InternetB. Having a family dinner on New Year' s Day.
C. Learning to sing songs on the radio. D. Doing rooming exercises at school.
44. Today fashions change very quickly because ___.
A. People read newspapers every day B. Radios send information from one country to another C. New things that people like are often shown on TV
D. People quickly learn what is happening in the world
45. "There is money in fashion" in the last sentence means
A. clothes are expensive
B. fashions can help people make big money
C. fashionable things are all expensive
D. if you are in fashion, you will have money
46. Which one is not right in the following statements?
A. As time goes, fashions can be different from what they are now.
B. In the modem world, fashions change very quickly.
C. The word "fashions" doesn' t only means "clothes".
D. Fashions are in many things, but there aren't fashions in school subjects.
B. 阅读短文，根据短文内容，从所给的六个选项中选出可以填入空白处的最佳选项，使短文意思完整、连贯。（有两项多余选项）
Passage 5
Thomas Edison?s lab was badly destroyed by fire on December, 1914. 47.______
Much of Edison?s life?s work went up in flames(火焰) on that December night. After seeing the fire, Edison?s 24-year-old son. Charles, looked for his father among the smoke. 48.______Edison?s face turned red and his white hair blew in the wind.
“I am happy that he is still alive.”said Charles. “he is 67---no longer a young man—and everything is going up in flames. When he saw me, he shouted. 49.______”
When Charles told him he didn?t know, Edison said, “find her. 50.______. She will never see anything like this. ”
The next morning, Edison looked at the damage and said. “there is great value in disaster(灾难). All our mistakes are burnt. We can start again.”
Three weeks after the fire, Edison showed his first phonograph (留声机). To invent something, you need a good imagination and a lot of junk.
A. Bring her here.
B. ?Charles, where?s your mother??
C.Edison stayed in the lab.
D. The cost of the damage was over ＄2 million.
E.?Do you know who made of the fire??
F.He finally found him and saw that he was quietly watching the fire.
V. 完型填空（二）（本题共13小题，每小题2分，共26分）
A. 根据对话内容，用方框内所给词或短语的适当形式填空，使对话内容完整。（每个词或短语只能使用一次）
A : You look lovely, Lingling!
B: Thanks, you look great, too. That?s a nice handbag.
A: It?s my 51._____________. Are you enjoying the party?
B: Yes, it?s enjoyable, but I feel a bit sad. I don?t know when we?ll be back in this hall all together again. I?ll miss you , Diana!
A: Oh, I feel just the 52._______________! We must try to continue our friendship, 53.____________ we will no longer be at school together.
B: Yes, I wish we weren?t going to 54.__________________ senior high schools. I feel really sorry to have to say goodbye to you and all our 55._____________ old friends.
A: We?ll make new 56._____________, too, though! But let?s promise to 57.________________. We may not see each other so often, but we can 58. ________________ in the summer vacation.
B: Yes, and think of all the happy times we?ll have then!
B. 阅读下面短文，在短文的空格内填入适当的词，使其内容通顺。（每空格限填一词）
There was once a rich man who loved his little boy very much. He wanted to try his best to please (使……高兴) him. So he gave him a horse to ride, beautiful rooms to live in , pictures, books, toys and everything that money 59.______________ buy.
But for all this, the little boy was still 60._____________. He wore a frown (皱眉) wherever he went, and always wished for something he did not have. The man didn?t know how to make his son happy.
One day, a magician (魔术师) came to the man and said to him, “ I can make your son happy and turn his frowns into smiles, but you must pay me a great price for 61._______________ him the secret.”
“ All right.” said the man, “ No matter what you ask for, I?ll give you.” The magician took the boy into a secret room. He wrote something on a piece of paper, and then gave it to the 62.__________. There on the paper came the words, “ Do one kind thing for someone every day.” The boy 63.________ the advice and became one of the happiest boys.
Only those who stop thinking about their own happiness can be truly happy.
VI. 阅读理解（二）（本题共5小题，每小题2分，共10分）
阅读下面短文，根据短文内容，回答下列问题。
Passage 5
Give water, save lives.
A bottle of water may not seem like much to you, but thousands of bottles will be of great help for people who live in drought-hit （遭受旱灾）areas in China.
Since last autumn, there has been very little rain in Southwest China. Some places, especially in Yunnan, Guangxi, Sichuan, Guizhou, have experienced a serious drought. Crops （庄稼）died, the land cracked, and wells (井) and rivers dried up. More than 20 million people are having difficulty in finding safe drinking water.
After learning about the drought, many people around the country helped by giving water, money and other things.
Last week, every member of the Communist Youth League ( 共青团员) and Young Pinoeers ( 少先队员) were encouraged to give one bottle of water to the drought-hit areas. Students in primary schools and middle schools quickly joined the activity. In Yuhua Primary School in Xi?an, 900 students bought over 1,000 bottles of water with their pocket money. They also wrote their wishes on the bottles.
The serious drought has also made students realize the importance of saving water.
Students from Nanshan Middle School in Huizhou in Guangdong went on the street to tell people to take part in water-saving activities. “ I?ve heard that some children in drought-hit areas don?t have enough drinking water. They have to drink muddy ( 含有泥土的) water. I feel really sad about that.” said one student. “ I decide to take a shower twice a week instead of every day to save water.” He said.
篇三：2016年辽宁省大连市中考数学试卷
2016年辽宁省大连市中考数学试卷
一、选择题：本大题共8小题，每小题3分，共24分
1．（3分）（2016?大连）﹣3的相反数是（ ）
A．B．C．3 D．﹣3
2．（3分）（2016?大连）在平面直角坐标系中，点（1，5）所在的象限是（ ）
A．第一象限 B．第二象限 C．第三象限 D．第四象限
3．（3分）（2016?大连）方程2x+3=7的解是（ ）
A．x=5 B．x=4 C．x=3.5 D．x=2
4．（3分）（2016?大连）如图，直线AB∥CD，AE平分∠CAB．AE与CD相交于点E，∠ACD=40°，则∠BAE的度数是（ ）
A．40° B．70° C．80° D．140°
5．（3分）（2016?大连）不等式组的解集是（ ）
A．x＞﹣2 B．x＜1 C．﹣1＜x＜2 D．﹣2＜x＜1
6．（3分）（2016?大连）一个不透明的口袋中有四个完全相同的小球，把它们分别标号为1，2，3，4随机摸出一个小球，不放回，再随机摸出一个小球，两次摸出的小球标号的积小于4的概率是（ ）
A．B．C．D．
7．（3分）（2016?大连）某文具店三月份销售铅笔100支，四、五两个月销售量连续增长．若月平均增长率为x，则该文具店五月份销售铅笔的支数是（ ）
22A．100（1+x） B．100（1+x）C．100（1+x） D．100（1+2x）
8．（3分）（2016?大连）如图，按照三视图确定该几何体的全面积是（图中尺寸单位：cm）（ ）
2222A．40πcmB．65πcmC．80πcmD．105πcm
二、填空题：本大题共8小题，每小题3分，共24分
9．（3分）（2016?大连）因式分解：x﹣3x=．
10．（3分）（2016?大连）若反比例函数y=的图象经过点（1，﹣6），则k的值为．
11．（3分）（2016?大连）如图，将△ABC绕点A逆时针旋转的到△ADE，点C和点E是对应点，若∠CAE=90°，AB=1，则BD=．
2
岁．
13．（3分）（2016?大连）如图，在菱形ABCD中，AB=5，AC=8，则菱形的面积是．
214．（3分）（2016?大连）若关于x的方程2x+x
﹣a=0有两个不相等的实数根，则实数a的
取值范围是．
15．（3分）（2016?大连）如图，一艘渔船位于灯塔P的北偏东30°方向，距离灯塔18海里的A处，它沿正南方向航行一段时间后，到达位于灯塔P的南偏东55°方向上的B处，此时渔船与灯塔P的距离约为
海里（结果取整数）（参考数据：sin55°≈0.8，cos55°≈0.6，tan55°≈1.4）．
216．（3分）（2016?大连）如图，抛物线y=ax+bx+c与x轴相交于点A、B（m+2，0）与y
轴相交于点C，点D在该抛物线上，坐标为（m，c），则点A的坐标是．
三、解答题：本大题共4小题，17、18、19各9分20题12分，共39分
17．（9分）（2016?大连）计算：（+1）（﹣1）+（﹣2）﹣
20． 18．（9分）（2016?大连）先化简，再求值：（2a+b）﹣a（4a+3b），其中a=1，b=．
19．（9分）（2016?大连）如图，BD是?ABCD的对角线，AE⊥BD，CF⊥BD，垂足分别为E、F，求证：AE=CF．
20．（12分）（2016?大连）为了解某小区某月家庭用水量的情况，从该小区随机抽取部分家
（1）家庭用水量在4.0＜x≤6.5范围内的家庭有户，在6.5＜x≤9.0范围内的家庭数占被调查家庭数的百分比是%；
（2）本次调查的家庭数为户，家庭用水量在9.0＜x≤11.5范围内的家庭数占被调查家庭数的百分比是%；
（3）家庭用水量的中位数落在组；
（4）若该小区共有200户家庭，请估计该月用水量不超过9.0吨的家庭数．
四、解答题：本大题共3小题，21、22各9分23题10分，共28分
21．（9分）（2016?大连）A、B两地相距200千米，甲车从A地出发匀速开往B地，乙车同时从B地出发匀速开往A地，两车相遇时距A地80千米．已知乙车每小时比甲车多行驶30千米，求甲、乙两车的速度．
22．（9分）（2016?大连）如图，抛物线y=x﹣3x+与x轴相交于A、B两点，与y轴相交于点C，点D是直线BC下方抛物线上一点，过点D作y轴的平行线，与直线BC相交于点E
（1）求直线BC的解析式；
（2）当线段DE的长度最大时，求点D的坐标． 2
23．（10分）（2016?大连）如图，AB是⊙O的直径，点C、D在⊙O上，∠A=2∠BCD，点E在AB的延长线上，∠AED=∠ABC
（1）求证：DE与⊙O相切；
（2）若BF=2，
DF=，求⊙O的半径．
五、解答题：本大题共3小题，24题11分，25、26各12分，共35分
24．（11分）（2016?大连）如图1，△ABC中，∠C=90°，线段DE在射线BC上，且DE=AC，线段DE沿射线BC运动，开始时，点D与点B重合，点D到达点C时运动停止，过点D作DF=DB，与射线BA相交于点F，过点E作BC的垂线，与射线BA相交于点G．设BD=x，四边形DEGF与△ABC重叠部分的面积为S，S关于x的函数图象如图2所示（其中0＜x≤m，1＜x≤m，m＜x≤3时，函数的解析式不同）
（1）填空：BC的长是；
（2）求S关于x的函数关系式，并写出x的取值范围．
25．（12分）（2016?大连）阅读下面材料：
小明遇到这样一个问题：如图1，△ABC中，AB=AC，点D在BC边上，∠DAB=∠ABD，BE⊥AD，垂足为E，求证：BC=2AE．
小明经探究发现，过点A作AF⊥BC，垂足为F，得到∠AFB=∠BEA，从而可证△ABF≌△BAE（如图2），使问题得到解决．
（1）根据阅读材料回答：△ABF与△BAE全等的条件是 AAS（填“SSS”、“SAS”、“ASA”、“AAS”或“HL”中的一个）
参考小明思考问题的方法，解答下列问题：
（2）如图3，△ABC中，AB=AC，∠BAC=90°，D为BC的中点，E为DC的中点，点F在AC的延长线上，且∠CDF=∠EAC，若CF=2，求AB的长；
（3）如图4，△ABC中，AB=AC，∠BAC=120°，点D、E分别在AB、AC边上，且AD=kDB（其中0＜k＜），∠AED=∠BCD，求的值（用含k的式子表示）．
26．（12分）（2016?大连）如图，在平面直角坐标系xOy中，抛物线y=x+与y轴相交于点A，点B与点O关于点A对称
（1）填空：点B的坐标是；
（2）过点B的直线y=kx+b（其中k＜0）与x轴相交于点C，过点C作直线l平行于y轴，P是直线l上一点，且PB=PC，求线段PB的长（用含k的式子表示），并判断点P是否在抛物线上，说明理由；
（3）在（2）的条件下，若点C关于直线BP的对称点C′恰好落在该抛物线的对称轴上，求此时点P的坐标．
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