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1、天津市和平区2015-2016年中考数学综合训练题(二)（常用版）(可以直接使用，可编辑 完整版资料，欢迎下载）天津市和平区2021-2021年九年级中考数学综合训练题 二1.下列运算：sin30=,.其中运算结果正确的个数为( )A.4 B.3 C.2 D.12.顺次连接矩形ABCD各边的中点，所得四边形必定是( ) A.邻边不等的平行四边形 B.矩形 C.正方形 D.菱形3.某校九年级数学兴趣小组的同学调查了若干名家长对“初中学生带 上学”现象的看法，统计整理并制作了如下的条形与扇形统计图.依据图中信息，得出下列结论：（1）接受这次调查的家长人数为200人；（2）在扇形统计图中，“不赞同”
2、的家长部分所对应的扇形圆心角大小为162；（3）表示“无所谓”的家长人数为40人；（4）随机抽查一名接受调查的家长，恰好抽到“很赞同”的家长的概率是 .其中正确的结论个数为( )A.4 B.3 C.2 D.1 4.如图,公路AC，BC互相垂直,公路AB的中点M与点C被湖隔开,若测得AM的长为1.2km,则M，C两点间的距离为( )A.0.5km B.0.6km C.0.9kmm5.已知不等式组的解集中共有5个整数，则a的取值范围为（ ） A.7a8 B.6a7 C.7a8 D.7a86.若等腰直角三角形的外接圆半径的长为2，则其内切圆半径的长为( )A. B. C. D.17.如图，在直角O的
3、内部有一滑动杆AB.当端点A沿直线AO向下滑动时，端点B会随之自动地沿直线OB向左滑动.如果滑动杆从图中AB处滑动到AB处，那么滑动杆的中点C所经过的路径是( )A.直线的一部分 B.圆的一部分C.双曲线的一部分 D.抛物线的一部分8.如图,在x轴的上方，直角BOA绕原点O按顺时针方向旋转.若BOA的两边分别与函数、的图象交于B、A两点，则OAB大小的变化趋势为( )A.逐渐变小 B.逐渐变大 C.时大时小 D.保持不变 9.一个寻宝游戏的寻宝通道如图1所示，通道由在同一平面内的AB，BC，CA，OA，OB，OC组成。为记录寻宝者的进行路线，在BC的中点M处放置了一台定位仪器，设寻宝者行进的时
4、间为x，寻宝者与定位仪器之间的距离为y，若寻宝者匀速行进，且表示y与x的函数关系的图象大致如图2所示，则寻宝者的行进路线可能为（ ） AAOB BBAC CBOC DCBO10.计算= 11.已知,则= 12.分解因式：5x2-10x2=5x=_13.一个不透明的盒子中装有3个红球，2个黄球和1个绿球，这些球除了颜色外无其他差别，从中随机摸出一个小球，恰好是黄球的概率为 14.用2、3、4三个数字排成一个三位数，则排出的数是偶数的概率为 15.一个容器盛满纯药液40L,第一次倒出如干后，用水加满；第二次又倒出同样体积的溶液，这时容器里只剩下纯药液10L,则每次倒出的液体是 L.16.如图，菱形
5、ABCD的边长为15，sinBAC=，则对角线AC的长为 17.如图,在ABC中,B=400,三角形的外角DAC和ACF的平分线交于点E,则AEC=度。18.如图,在平面直角坐标系中,将矩形AOCD沿直线AE折叠（点E在边DC上），折叠后顶点D恰好落在边OC上的点F处.若点D的坐标为(10,8），则点E的坐标为 19.某服装厂专门安排210名工人进行手工衬衣的缝制，每件衬衣由2个衣袖、1个衣身、1个衣领组成.如果每人每天能够缝制衣袖10个，或衣身15个，或衣领12个，那么应该安排 名工人缝制衣袖，才能使每天缝制出的衣袖、衣身、衣领正好配套.20.已知A点的坐标为（1,3），将A点绕坐标原点旋转
6、90，则点A的对应点的坐标为21.解不等式组，并写出它的所有非负整数解。22.在平面直角坐标系中，直线与双曲线的一个交点为，与x轴、y轴分别交于点A，B.(1)求m的值；(2)若PA=2AB,求k的值。23.如图,AB是的直径，过点B作的切线BM，弦CD/BM,交AB于点F,且DA=DC,链接AC，AD，延长AD交BM地点E.(1)求证：ACD是等边三角形;(2)链接OE，若DE=2,求OE的长.24.有这样一个问题：探究函数的图象与性质。小东根据学习函数的经验，对函数的图象与性质进行了探究。下面是小东的探究过程，请补充完成：(1)函数的自变量x的取值范围是_；(2)下表是y与x的几组对应值。
7、求m的值；(3)如下图，在平面直角坐标系中，描出了以上表中各对对应值为坐标的点，格局描出的点，画出该函数的图象； (4)进一步探究发现，该函数图象在第一象限内的最低点的坐标是，结合函数的图象，写出该函数的其他性质（一条即可）：_。25.如图，已知B、C、E三点在同一条直线上，ABC与DCE都是等边三角形.其中线段BD交AC于点G，线段AE交CD于点F.求证：（1）ACEBCD；（2）.26.如图,以ABC的BC边上一点O为圆心的圆，进过A、B两点，且与BC边交于点E，D为BE的下半圆弧的中点，连接AD交BC于F，AC=FC.（1）求证：AC是0的切线；（2）已知圆的半径R=5，EF=3，求DF
8、的长.27.如图，已知以RtABC的AC边为直径作O交斜边AB于点E，连接EO并延长交BC的延长线于点D，点F为BC的中点，连接EF（1）求证：EF是O的切线；（2）若O的半径为3,EAC=600,求AD的长28.一种进价为每件40元的T恤，若销售单价为60元，则每周可卖出300件.为提高利润，欲对该T恤进行涨价销售.经过调查发现：每涨价4元，每周要少卖出10件.请确定该T恤涨价后每周的销售利润y（元）与销售单价x（元）之间的函数关系式，并求销售单价定为多少元时，每周的销售利润最大？29.某商场A、B两种商品，若买2件A商品和1件B商品，共需80元；若买3件A商品和2件B商品，共需135元，（
9、1）设A、B两种商品每件售价分别为a元、b元，求a,b的值；（2）B商品的成本是20元，根据市场调查：若按（1）中求出的单价销售，该商场每天销售B商品100件；若按销售单价每上涨1元，B商品每天的销售量就减少5件，求每天B商品的销售利润y（元）与销售单价x（元）之间的函数关系式？求销售单价为多少元是，B商品的销售利润最大，最大利润是多少？30.某物流公 司承接A、B两种货物运输业务，已知5月份A货物运费单价为50元/吨，B货物运费单价为30元/吨，共收取运费9500元；6月份由于油价上涨，运费单价上涨为：A货物70元/吨，B货物40元/吨；该物流公司6月承接的A种货物和B种数量与5月份相同，6
10、月份共收取运费13000元。（1）该物流公司月运输两种货物各多少吨？（2）该物流公司预计7月份运输这两种货物330吨，且A货物的数量不大于B货物的2倍，在运费单价与6月份相同的情况下，该物流公司7月份最多将收到多少运输费？31.在平面直角坐标系xOy中，过点(0，2)且平行于x轴的直线，与直线y=x-1交于点A，点A关于直线x=1的对称点为B，抛物线C1:y=x2+bx+c经过点A,B.(1)求点A，B的坐标；(2)求抛物线C1的表达式及顶点坐标；(3)若抛物线C2:y=ax2(a0)与线段AB恰有一个公共点，结合函数的图象，求a的取值范围。32.如图3,图4，分别是吊车在吊一物品时的实物图与
11、示意图,已知吊车底盘CD的高度为2米,支架BC的长为4米，且与地面成30角,吊绳AB与支架BC的夹角为80,吊臂AC与地面成70角,求吊车的吊臂顶端A点距地面的高度是多少米？（精确到0.1米）？（参考数据：sin10=cos80=0.17,cos10=sin80=0.98,sin20=cos70=0.34,tan70=2.75,sin70=0.94）33.在正方形ABCD中,BD是一条对角线,点P在射线CD上（与点C、D不重合）,连接AP,平移ADP,使点D移动到点C,得到BCQ,过点Q作QHBD于H,连接AH，PH。(1)若点P在线段CD上,如图1.依题意补全图1；判断AH与PH的数量关系与
12、位置关系并加以证明；(2)若点P在线段CD的延长线上，且AHQ=1520，正方形ABCD的边长为1，请写出求DP长的思路。（可以不写出计算结果）34.如图，抛物线y=x2+bx+c与x轴相交于A(-1，0)，（3,0）两点，顶点M关于x轴的对称点是M,（1）求抛物线的解析式；（2）若直线AM与此抛物线的另一个交点为C，求CAB的面积；（3）是否存在过A、B两点的抛物线，其顶点P关于x轴的对称点为Q，是四边形APBQ为正方形？若存在，求出此抛物线的解析式；若不存在，请说明理由。35.如图,曲线抛物线的一部分,表达式:曲线与曲线关于直线x=3对称.（1）求A、B、C三点的坐标和曲线y2的表达式；（
13、2）过点D作CD/x轴交曲线y1于点D，连接AD，在曲线y2上有一点M，使得四边形ACDM为筝形（如果一个四边形的一条对角线被另一条对角线垂直平分，这样的四边形为筝形），请求出点M的横坐标.（3）设直线CM与x轴交于点N，试问在线段MN下方的曲线y2上是否存在一点P，使PMN的面积最大？若存在，求出点P的坐标；若不存在，请说明理由。天津市第一中学2021届九年级英语上学期第一次月考试题第I卷 共65分 提示: 请同学们将I卷的答案填涂在答题卡上。 放松心态，谨慎答题；掌握技巧，高分能及！ 听力理解（共20分，每题1分）I听小对话，选择图片（共5小题；每小题1分，满分5分）听小对话，回答问题6W
14、hat meal are the family going to have? ABreakfast BLunch CSupper7How soon will Mr. Brown come? AIn five minutes BIn five hours CIn five days8What was the weather like in Beijing last Sunday? AFine BNot so good CRainy9Where is the man probably going this afternoon? ATo a hospital BTo a bookstore CTo
15、a museum10How much will the woman pay for the socks? AThree dollars BSix dollars CTen dollars听长对话，回答问题听下面一段较长的对话，回答第11至12两个小题。11Why is Tom going to Tokyo? ABecause hes got a new job there BBecause hes got married CBecause hes got a friend there12How will they keep in touch? ABy phone BBy QQ By lette
16、r听下面一段较长对话，回答第13至15三个小题。13Where did the woman go for her trip? ATo New York BTo Sydney CTo Paris14When did the woman find her wallet lost? AWhen she was talking with her friend BAfter she got back from her trip CWhen she was going to pay for the ticket15How did the woman come back? ABy train BIn her
17、 friends car CBy air听短文。回答问题16Where did the story happen? AAt a cinema BIn a library CAt a shop17Why was the woman angry? ABecause the man was talking loudly with his friend BBecause she lost a piece of chocolateCBecause the man was looking for something and annoyed her18What was the relationship be
18、tween the man and the woman?AThey were husband and wife BThey were friendsCThey didnt know each other19Why did the woman give the man a piece of chocolate?ABecause the man wanted to eat moreBBecause she wanted the man to keep quietCBecause she wanted to let him go 单项选择（共10分，每题0.5分）21. In those days,
19、 books could only be produced one at a time by hand. _, they were expensive and rare.A. So thatB. As a result ofC. As a resultD. So 22. _ youve got a headache. You drank too much last night. A. No matterB. No wonderC. Not wonderD. Not matter23. His grandfather _ for twelve years. A. deathB. has died
20、C. has been deadD. died24. He offered _ valuable advice that _ people disagreed. A. such; a fewB. such; fewC. so; a fewD. so; few25. Have all the boys known that they _ an English test this afternoon? -Yes. Every boy has been told about it. A. hadB. hasC. are havingD. will have26. What should I do _
21、 healthy, doctor? -You should take more exercise. A. keepB. to keepC. keepingD. keeps27. How long _ the restaurant _? -For eight years. A. has; openedB. has; been openedC. did; openD. has; been open28. We will visit the Summer Palace _ there is a heavy rain tomorrow. -OK! Boating on the lake must be
22、 great fun. A. ifB. as soon asC. unlessD. since29. By the time he _ at the railway station, the train _. A. had arrived; had leftB. arrived; had left C. arrived; leftD. arrived; has left30. She said that her car needed _. A. repairedB. to repairC. being repairedD. repairing31. There are many shops o
23、n _ side of the street. We can buy _ we want. A. both, nothingB. all; somethingC. either; everythingD. every; something32. The old man felt _, for he lived _ in a _ house in the mountain. A. along; alone; lonelyB. lonely; lonely; alone C. lonely; alone; lonelyD. alone; lonely; alone33. You can get a
24、 good result _ you work hard. A. as well asB. as long asC. so thatD. as well34. Are you feeling _ to go to school? A. good enoughB. enough wellC. well enoughD. enough good35. We will spend _ doing our favorite things. A. some timeB. sometimesC. sometimeD. some times36. He is taller than _ in his cla
25、ss. A. any other girlB. any other girlsC. any girlD. all the students37. We have worked for a long time, so we _ a rest. -Sounds great. A. stop to haveB. stop havingC. stopped to haveD. stopped having38. Id like to go to the cinema with them. -_. A. So would I.B. So had IC. So did I.D. So I would.39
26、. There is a cover _ the object. A. in B. overC. throughD. at40. Its really _ that a tortoise can _ 150 years old. A. amazed; live toB. amazed; live up toC. amazing; live up toD. amazing; live to 完型填空（共10分，每题1分）阅读下面短文，掌握其大意，然后从4150 各题所给的A、B、C和D项中，选出最佳选项。There once was a farmer who lost his watch in
27、his barn (谷仓). The watch was only cheap but was very _41 to him because it was a gift from his father.After _ 42 _ the barn for a long time, he gave up and asked for _43 _ from a group of children playing nearby. He _44 _ them that the person who found the watch would be rewarded.Hearing this, the c
28、hildren hurried inside the barn _45 _. They searched everywhere but still could not find the _46 _. Just when the farmer was going to give up, a little boy went up to him and asked to be given another _47_. The farmer looked at him and thought, “Why not? After all, this kid looks honest.”So the farm
29、er _48 _ the little boy back into the barn. After a while the little boy came out with the watch in his hand! The surprised farmer asked the boy how he _49_ where the rest had failed.The boy replied, “I did nothing but sit quietly and listen for the sound of the watch.”This shows us that sometimes a
30、 _50_ mind can think better than an excited one.”41. A. important B. expensive C. useless D. interesting42. A. finding B. searching C. watching D. studying43. A. money B. danger C. work D. help44. A. promised B. taught C. warned D. believed 45. A. angrily B. slowly C. immediately D. hardly46. A. rul
31、e B. book C. child D. watch47. A. way B. chance C. lesson D. smile 48. A. threw B. sent C. gave D. caught49. A. came B. knew C. succeeded D. suggested50. A. beautiful B. smart C. peaceful D. quick. 阅读理解（共25分，5155每题2分，5670每题1分）AOnce when I was a teenager, my father and I were standing in line to buy
32、tickets for the circus. (马戏团)Finally, there was only one family between the ticket office and us. This family made a big impression on me.There were eight children, all probably under the age of 12. You could tell they didnt have a lot of money. Their clothes were not expensive, but they were clean.
33、 The children talked excitedly about the clowns. It was clearly a very important day out for them. The father and mother seemed happy as they could be.The tickets lady asked how many tickets the father wanted, he proudly answered, “Please let me buy eight childrens tickets and two adults tickets, so
34、 I can take my family to the circus.”The ticket lady told him the price. The mans wife lowered her head. There was no longer a smile on the mans face. He quietly asked, “How much did you say?”The ticket lady again told him the price.The man obviously didnt have enough money. But how could he tell hi
35、s kids the bad news?Seeing what was happening, my dad took a $20 note from his pocket and dropped in on the ground. (We were not rich ourselves at all!) He then tapped the man on the shoulder and said, “Excuse me, sir, you dropped this.”The man understood my father was helping him. He picked up the
36、money, looked straight into my dads eyes, and in tears replied. “Thank you. This really means a lot to me and my family.”Although we did not go to the circus that night, we didnt go without.51. Why does the writer say “Their clothes were not expensive, but they were clean” ( Paragraph 2)?A. To show
37、the children were well looked after. B. To show cheap clothes could be popular.C. To show how hard the mother worked. D. To show how rich the family were.52. Why was the poor man unhappy after he spoke with the ticket lady?A. He had lost his money. B. His children were noisy.C. The tickets were sold
38、 out. D. The tickets were too expensive.53. Who did the $20 note belong to?A. The poor man . B. The writers father.C. The poor mans wife. D. The ticket lady.54. Why was the poor man in tears at the end of the story?A. He found the money he lost. B. He wanted others to help him.C. He made his childre
39、n unhappy. D. He was thankful for the kindness.55. Which of the following statements is probably true according to the passage?A. The poor mans saw the circus that night. B. The two families became close friends.C. The writers father earned some money. D. The writer saw the circs that night.ADBDAB C
40、huck Wall teaches management and human relations at Bakersfield College. He walked into class one day and told his students that their homework was to perform one act of random(任意的) kindness. His students did not understand the homework and didnt know what to do, but the professor would not answer t
41、heir questions. He encouraged his students to work it out for themselves. One week later, the students entered the classroom excited to share their stories. One student told of giving away blankets to the homeless. Another reported on helping a dog to find its owner, and another student had been try
42、ing to find a long, lost friend. Students were energized (给予活力) by the homework assignment and wanted other people to be kind too. With the support of local businesses, the students made stickers to put on cars that invited people to do something kind for others. They sold the stickers and decided to donate the money to a center for the blind-not surprising as Professor Wall is blind.