深国交入学考试模拟试卷

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2020年深国交G1入学考试数学模拟试卷9(初三)

3．若方程组
的解 x 与 y 的和为 0，则 m 的值为（）
A．﹣2 B．0 C．2 D．4
4．如图，有四个平面图形分别是三角形、平行四边形、直角梯形、圆，垂直于 x 轴的直线 l：x=t（0≤t≤a）从原点 O 向右平行移动，l 在移动过程中扫过平面图形的面积为 y（图中阴影部分），若 y 关于 t 函数的图象大致如图，那么平面图形的形状不可能是（）
A． a（x1﹣x2）=d C． a（x1﹣x2）2=d
B． a（x2﹣x1）=d D． a（x1+x2）2=d
10．在平面直角坐标系中，函数 y=x2﹣2x（x≥0）的图象为 C1，C1 关于原点对称的图象为 C2，则直线 y=a（a 为常数）与 C1、C2 的交点共有（） A．1 个 B．1 个或 2 个 C．1 个或 2 个或 3 个 D．1 个或 2 个或 3 个或 4 个
中阴影部分的面积为
．
16．方程 x=
的解是
三．解答题（共 3 小题，共 36 分） 17．（10 分）若 x1，x2 是关于 x 的方程 x2+bx+c=0 的两个实数根，且|x1|+|x2|=2|k（| k 是整数），则称方程 x2+bx+c=0 为“偶系二次方程”．如方程 x2﹣6x﹣27=0，x2﹣2x﹣8=0，x2+3x﹣ =0， x2+6x﹣27=0，x2+4x+4=0，都是“偶系二次方程”．（1）判断方程 x2+x﹣12=0 是否是“偶系二次方程”，并说明理由；（2）对于任意一个整数 b，是否存在实数 c，使得关于 x 的方程 x2+bx+c=0 是“偶系二次方程”，并说明理由．
二．填空题（共 6 小题，每题 4 分）

深国交G1入学考试英语模拟试题B

写作要求和评分标准
写作要求：根据题目要求，清晰、准确地表达观点，使用适当的语法和词汇，注意段落结构和逻辑性。
评分标准：内容完整、表达清晰、语言准确、逻辑性强等方面进行评分。
写作技巧和策略
审题清晰：仔细阅读题目要求，明确写作目的和内容要点
结构完整：确保文章有明确的开头、主体和结尾，合理安排段落和布局
07
听力部分解析
听力材料：涉及日常生活、学校、家庭等场景，难度适
中
题目类型：单选、多选、填
空等
解题技巧：先审题干，抓住关键词；再听录音，注意细节；最后检查答案，确保准
确性
注意事项：保持冷静，不要因为紧张而影
响听力理解
阅读部分解析
文章题材：涉及记叙文、议论文、说明文等多种类型题型设置：包括细节理解题、推理判断题、主旨大意题等难度评估：整体难度适中，适合G1水平学生练习解析内容：提供详细的答案解析，帮助学生理解解题思路和方法
难度：深国交G1入学考试英语模拟试题B的难度较高，主要考察学生的英语综合运用能力。
要求：考试要求学生具备扎实的英语基础，良好的阅读、写作、听力和口语能力，以及一定的词汇量和语法知识。
考试内容：考试内容包括听力、阅读理解、词汇和语法、写作和翻译等部分，全面考察学生的英语水平。
备考建议：建议学生多进行英语实践，提高英语综合运用能力，同时注意积累词汇和语法知识，加强阅读和写作训练。
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深国交G1入学考试英语模拟试题B
汇报人：XX
汇报时间：20XX/01/01
目录
01.
添加标题

深国交测试题及答案

深国交测试题及答案一、选择题（每题2分，共20分）1. 以下哪个选项是正确的描述？A. 地球是平的B. 太阳是银河系的中心C. 月亮是地球的卫星D. 火星上存在液态水2. 根据题目分析，选项C是正确的描述，因为月亮确实是地球的卫星。

其他选项描述错误，地球是圆的，太阳不是银河系的中心，火星上尚未发现液态水。

3. 以下哪个历史事件标志着第二次世界大战的结束？A. 珍珠港事件B. 诺曼底登陆C. 广岛原子弹爆炸D. 日本投降4. 选项D是正确的，因为1945年8月15日，日本宣布无条件投降，标志着第二次世界大战的结束。

5. 以下哪个公式是计算圆的面积的公式？A. A = πr²B. A = 2πrC. A = r²D. A = πd6. 选项A是正确的，圆的面积公式是A = πr²，其中r是圆的半径。

7. 以下哪个国家不是联合国安全理事会的常任理事国？A. 中国B. 法国C. 德国D. 俄罗斯8. 选项C是正确的，因为联合国安全理事会的五个常任理事国是中国、法国、俄罗斯、英国和美国，不包括德国。

9. 以下哪个元素是人体必需的微量元素？A. 氢B. 氧C. 铁D. 碳10. 选项C是正确的，铁是人体必需的微量元素，对血红蛋白的形成至关重要。

二、填空题（每空1分，共10分）11. 光合作用是植物通过______吸收太阳能，将______和水转化为葡萄糖和氧气的过程。

答案：叶绿体；二氧化碳12. 牛顿的第二定律表明，力等于______乘以______。

答案：质量；加速度13. 英语中的“Hello”在中文中通常翻译为______。

答案：你好14. 世界上最深的海沟是______。

答案：马里亚纳海沟15. 国际标准时间的起点是______经线。

答案：本初子午线三、简答题（每题5分，共20分）16. 请简述牛顿的三大定律。

答案：牛顿的三大定律是经典力学的基础。

第一定律（惯性定律）指出，物体会保持静止或匀速直线运动状态，除非受到外力作用。

深国交G1入学考试英语模拟试题B(优.选)

1. “Tommy, run! Be quick! The house is on fire!” the mother shouted, with clearly ________ in her voice．A．anger B．rudeness C．regret D．panic 2．The two girls are so alike that strangers find ______ difficult to tell one from the other．A．it B．them C．her D．that 3．Planning so far ahead _____ no sense—so many things will have changed by next year．．A．made B．is making C．makes D．has made 4．Tom______ in the library every night over the last three months．A．works B．workedC．has been working D．had been working5．—Bob has gone to California．—Oh, can you tell me when he _________?A．has left B．left C．is leaving D．would leaving 6．The next thing he saw was smoke ______ from behind the house．A．rose B．rising C．to rise D．risen 7．Sarah pretended to be cheerful, ______nothing about the argument．A．says B: said C．to say D．saying 8．The rare fish, _____ from the cooking pot, has been returned to the sea．A．saved B．saving C．to be saved D．having saving 9．When Mom looked back on the early days of their marriage, she wondered how they had managed with ______ money．A．so few B．such few C．so little D．such little 10．Mr. Stevenson is great to work for—I really couldn't ask for a＿boss．A．better B．good C．best D．still better 11．I can _____ the house being untidy, but I hate it if it’s not clean．A．come up with B．put up with C．turn to D．stick to 12．____ Barbara Jones offers to her fans is honesty and happiness．A．Which B．What C．That D．Whom13. In my opinion, what he told us just now about the affair simply doesn’t make any .A. ideaB. meaningC. senseD. point14. I didn’t like the story, , it’s too long, also it was written by a writer I don’t knowA. for one thingB. for a thingC. althoughD. in one hand15. It is strongly suggested that measures students to cheat in the exams.A. be taken to preventB. be taken to forbidC. are taken to preventD. are taken to forbid1.My mother is not satisfied with my _____________(explain).2._____________(practise) makes perfect.3.The book written by him is really worth_____________(read) again.4.Golf has gained ____________(popular) among the wealthy in my country.5.The boy finally___________(success) in passing the test.6.He is an ___________(energy) boy.7.The famous pop singer sang many songs, ______________(include) some of my favorite.8.He is busy____________(prepare) for the coming test.9.She could not wait any ___________(long).10.Jim was deeply ___________(influence) by his mother.11.She felt very sorry about her children's bad ____________(behave).12.We'll go for a picnic if it _____________(not rain) tomorrow.13.It's important to exercise______________(regular).14.Much to his ______________(surprising), she gave him her phone number.15. His father's ______________(die) made him very sad.16. Nowadays blogs are much more useful than __________diaries. (tradition)17. In the end, the young man came up with a _____________(wonder) idea.18. They _____(not hear) of that thing yet.19. I happened _________(meet) my old friend in the street yesterday.20.His bike needs _________(repair)21.She thought the young man was a queue _______________(jump).22.Liu Xiang is the ____________(proud) of the Chinese people.23. The film The promise which (direct) by Chen doesn’t interest me as much.24. It is said that at least 23 people (kill) in the gas explosion in a coal mine in Shaanxi Province.25. They (make) to stay at home all day because of the bad weather.Ⅱ完形填空Number sense is not the ability to count. It is the ability to recognize a 1 in number. Human beings are born with this ability. 2 , Experiments show that many animas are, too. For example, many birds have good number sense. If a nest has four eggs and you remove one, the bird will not 3 . However, if you remove two, the bird 4 leaves. This means that the bird knows the 5 between two and three.Another interesting experiment showed a bird’s 6 number sense. A man was trying to take a photo of a crow(乌鸦) that had a nest in a tower, but the crow always left when she saw him coming. The bird did not 7 until the man left the tower. The man had an 8 . He took another man with him to the tower. One man left and the other stayed, but they did not 9 the bird. The crow stayed away until the second man left, too. The experiment was 10 with three men and then with four men. But the crow did not return to the nest until all the men were 11 . It was not until five men went into the tower and only four left that they were 12 able to fool the crow.How good is a human’s number sense? It’s not very good. For example, babies about fourteen months old almost always notice if something is taken away from a 13 group. But when the number goes beyond three or four, the children are14 fooled.It seems that number sense is something we have in common with many animals in this world, and that our human 15is not much better than a crow’s.1. A. rise B. pattern C. change D. trend2. A. Importantly B. Surprisingly C. Disappointedly D. Fortunately3. A. survive B. care C. hatch D. notice4. A. generally B. sincerely C. casually D. deliberately5. A. distance B. range C. difference D. interval6. A. amazing B. annoying C. satisfying D. disturbing7. A. relax B. recover C. react D. return8. A. appointment B. excuse C. idea D. explanation9. A. fool B. hurt C. catch D. kill10. A. reported B. repeated C. designed D. approved11. A. confused B. gone C. tired D. drunk12. A. gradually B. luckily C. strangely D. finally13. A. single B. small C. local D. new14. A. seldom B. temporarily C. merely D. often15. A. sight B. nature C. ability D. beliefⅢ阅读理解A．Imagination and fantasy can play an important role in achieving the things we fear. Children know this very well. Fred Epstein, in his book I Make It to Five, tells a story he heard from one of his friends about Tom, a four-year-old boy with a cancer in his back bone. He came through several operations and a lot of pain by mastering his imagination.Tom loved to pretend, and he particularly loved to play superheroes. Dr. Epstein explained that it was actually a brilliant way for his young mind to handle the terrifying and painful life he led.The day before his third trip to the operating room, Tom was terribly afraid. “ Maybe I could go as Superman,” he whispered to his mom. Hearing this, the mother hesitated for while. She has avoided buying the expensive costume(戏装), but finally she agreed.The next day Tom appeared as the powerful Superman, showing off through the hospital halls and coolly waving his hand to the people greeting him along the way. And Tom, with the strength of his fantasy, successfully made it through the operation.The power of imagination need not be reserved for children only. We all have the power to use our fantasies to attempt things we never thought possible, to go through those things that seem impossible, and to achieve what we never believed we could. Just as Dr. Epstein puts it, “If you can dream it, you can do it.”It doesn’t mean that y ou should dress as a superhero for your next job interview. But, next time you are tested in a way that seems impossible, imagine what it would take to overcome it. Become the person you need to become to win over your challenge and do it in your mind first. So, let your imagination run wild, and dare to dream.26. What do we know about Tom?A. He was seriously ill.B. He was a dishonest boy.C. He was crazy about magic.D. He was Dr. Epstein’s patient.27. What can be inferred about Tom’s mother?A. She was a rich lady.B. She refused Tom’s request.C. She wanted Tom to be a superhero.D. She wanted to get Tom through the pain.28. When Tom went for the third operation, he_________.A. pretended to be painfulB. acted like a superheroC. appeared in poor spiritsD. argued with his mother29. In the last paragraph, you are advised________.A. to go through some difficult testsB. to wake up from your wild dreamsC. to become a powerful person in your mindD. to wear expensive clothes for job interviews30. What is the purpose of the passage?A. To tell us an interesting story.B. To help us make right decisions.C. To advise us to care about children.D. To encourage us to use our imagination.B.Some people think that success is only for those with talent or those who grow up in the right family, and others believe that success mostly comes down to luck. I’m not going to say luck, talent, and circumstances don’t come into play because they do. Some people are born into the right family while others are born with great intelligence, and that’s just the reality of how life is.However, to succeed in life, one first needs to set a goal and then gradually make it more practical. And, in addition to that, in order to get really good at something, one needs to spend atleast 10,000 hours studying and practicing. To become great at certain things, it’ll require even more time, time that most people won’t put in.This is a big reason why many successful people advise you to do something you love. If you don’t enjoy what you do, it is going to feel like unbearable pain and will likely make you quit well before you ever become good at it.When you see people exhibiting some great skills or having achieved great success, you know that they have put in a huge part of their life to get there at a huge cost. It’s sometimes easy to think they got lucky or they were born with some rare talent, but thinking that way does you no good, and there’s a huge chance that you’re wrong anyway.Whatever you do, if you want to become great at it, you need to work day in and day out, almost to the point of addiction, and over a long period of time. If you’re not willing to put in the time and work, don’t expect to receive any rewards. Consistent, hard work won’t guarantee you the level of success you may want, but it will guarantee that you will become rally good at whatever it is you put all that work into.31. Paragraph 1 mainly talks about__________.A. the reasons for successB. the meaning of successC. the standards of successD. the importance of success32. Paragraph 2, the underlined word that refers to__________.A. being good at somethingB. setting a practical goalC. putting in more timeD. succeeding in life33. Successful people suggest doing what one loves because_____________.A. work makes one feel painB. one tends to enjoy his workC. one gives up his work easilyD. it takes a lot of time to succeed34. What can be infer from Paragraph 4?A. Successful people like to show their great skills.B. People sometimes succeed without luck or talent.C. People need to achieve success at the cost of life.D. It helps to think that luck or talent leads to success.35. What is the main theme of the passage?A. Having a goal is vital to success.B. Being good is different from being great.C. One cannot succeed without time and practice.D. Luck, talent and family help to achieve success.C.One day, when I was working as a psychologist in England, an adolescent boy showed up in my office. It was David. He kept waling up and down restlessly, his face pale, and his hands shaking slightly. His head teacher had referred him to me. “This boy has lost his family,” he wrote. “He is understandably very sad and refuses to talk to others, and I’m very worried about him. Can I help?”I looked at David and showed him to a chair. How could I help him? There are problems psychology doesn’t have the answer to, and which no wards can describe. Sometimes the best thing one can do is to listen openly and sympathetically.The first two times we met, David didn’t say a word. He sat there, only looking up to look at the children’s drawings on the wall behind me. I suggested we play a game of chess. He nodded. After that he played chess with me every Wednesday afternoon---in complete silence and without looking at me. It’s not easy to cheat in chess, but I admit I made sure David won once or twice.Usually, he arrived earlier than agreed, took the chess board and pieces from the shelf and began setting them up before I even got a chance to sit down. It seemed as if he enjoyed my company. But why did he never look at me?“Perhaps he simply needs someone to share his pain with,” I thought. “Perhaps he senses that I respect his suffering.”Some months later, when we were playing chess, he looked up at me suddenly.“It’s your turn,” he said.After that day, David started talking. He got friends in school and joined a bicycle club. He wrote to me a few times, about his biking with some friends, and about his plan to get into university. Now he had really started to live his own life.Maybe I gave David something. But I also learned that one---without any words---can reach out to another person. All it takes is a hug, a shoulder to cry on, a friendly touch, and an ear that listens.36. When he first met the author, David_________.A. felt a little excitedB. walked energeticallyC. looked a little nervousD. showed up with his teacher37. As a psychologist, the author __________.A. was ready to listen to DavidB. was skeptical about psychologyC. was able to describe David’s problemD. was sure of handling David’s problem38. David enjoyed being with the author because he____________.A. wanted to ask the author for adviceB. needed to share sorrow with the authorD. beat the author many times in the chess game39. What can be inferred about David?A. He recovered after months of treatment.B. He liked biking before he lost his family.C. He went into university soon after starting to talk.D. He got friends in school before he met the author.40. What made David change?A. His teacher’s help.B. The author’s friendship.C. His exchange of letters with the author.D. The author’s silent communication with him.D.While Jennifer was at home taking an online exam for her business law class, a monitor(监控器) a few hundred miles away was watching her every move.Using a web camera equipped in Jennifer’s Los Angeles apartment, the monitor in Phoenix tracked how frequently her eyes moved from the computer screen and listened for the secret sounds of a possible helper in the room. Her Internet access was locked---remotely---to prevent Internet searches, and her typing style was analyzed to make sure she was who she said she was; Did she enter her student number at the same speed as she had in the past? Or was she slowing down?In the battle against cheating, this is the cutting edge and a key to encourage honestly in the booming field of on line education. The technology gives trust to the entire system, to the institution and to online education in general. Only with solid measures against cheating, experts say, can Internet universities show that their exams and diplomas are valid---that students haven’t searched the Internet to get the right answers.Although online classes have existed for more than a decade, the concern over cheating become sharper in the last year with the growth of “open online courses.” Private colleges, public universities and corporations are jumping into the online education field, spending millions of dollars to attract potential students, while also taking steps to help guarantee honesty at a distance.Aside from the web cameras, a number of other high-tech methods are becoming increasingly popular. Among them are programs that check student’s identities using personas information, such as the telephone numbers they once used.Other programs can produce unique exams by drawing on a large list of questions and can recognize possible cheaters by analyzing whether difficult test questions are answered at he same speed as easy ones. As in many university classes, term papers are scanned against some large Internet data banks for cheating.41. Why was Jennifer watched by a monitor in an online exam?42. The underlined expression cutting edge in Paragraph 3 is closest in meaning to _______.A. advanced techniqueB. sharpening toolC. effective ruleD. dividing line43. For Internet universities, exams and diplomas will be valid if__________.A. they can attract potential studentsB. they can defeat academic cheatingC. they offer students online helpD. they offer many online courses44. Some programs can find out possible cheaters by_________.A. checking the question answering speedB. producing a large number of questionsC. scanning the Internet test questionsD. giving difficult test questions45. Which of the following is the best title of this passage?A. The Advantages of Online ExamsB. The High-tech Methods in Online CoursesC. The Fight against Cheating in Online EducationD. The War against the Booming of Online EducationⅣ。

2020年最新深圳国际交流学院G1入学考试数学模拟试

2020年最新深圳国际交流学院G1入学考试数学模拟试卷1一．选择题（共36分）（）1.已知b a ab b a 则其中,0,≥=⋅满足的条件是A ．0<bB ．0≥bC ．b 必须等于零D ．不能确定（）2.已知y x y x +=-+-则,02)1(2的值为 A ．1 B ．2 C ．3 D ．5 （）3.在平面直角坐标系中，点P （－2，－5）关于原点对称的点的坐标是 A ．（－2，5）B ．（2，5） C.（－2，－5） D ．（2，－5）（）4.下列图形中，旋转60o后可以和原图形重合的是Ａ、正六边形Ｂ、正五边形Ｃ、正方形Ｄ、正三角形（）5..将数字0.0000031用科学记数法表示为A ．53.110-⨯ B ．63.110-⨯ C ．73.110-⨯ D ．83.110-⨯（）6.在Rt △ABC 中，∠C ＝90°，cosA ＝51，则tanA ＝ A.62 B.26 C.562 D. 24 （）7.已知⊙O 和⊙O ＇的半径分别为5 cm 和7 cm ，且⊙O 和⊙O ＇相切，则圆心距OO ＇为 A 、2 cm B 、7 cm C 、12 cm D 、2 cm 或12 cm （）8.关于x 的一元二次方程0122=-+x kx 有两个不相等的实数根, 则k 的取值范围是 A. k>－1 B. k>1 C. k ≠0 D. k>－1且k ≠0（）9.圆O 的半径为6cm ，P 是圆O 内一点，OP=2cm,那么过点P 的最短弦的长等于 A 24cm B 28cm C 26cm D 12cm（）10．如图4，是一个由若干个相同的小正方体组成的几何体的三视图，则组成这个几何体的小正方体的个数是 A ．7个 B ．8个 C ．9个 D ．10个ABC A'C '（）11.在Rt △ABC 中，∠ABC ＝90°,AB ＝8cm,BC ＝6cm ，分别以A,C 为圆心，以2AC的长为半径作圆，将Rt △ABC 截去两个扇形，则阴影部分的面积为A ．2524π4-cm 2 B ．25π4cm 2 C ．524π4-cm 2 D ． 2524π6- cm 2（）12.如图，一块边长为8 cm 的正三角形木板ABC ，在水平桌面上绕点B 按顺时针方向旋转至A ′BC ′的位置时，顶点C 从开始到结束所经过的路径长为(点A 、B 、C ′在同一直线上) A.16π B.38π C.364π D.316π 二．填空题（共12分）13.亮亮想制作一个圆锥模型，它的侧面是用一个半径为9cm ，圆心角为240°的扇形铁皮制作的，再用一块圆形铁皮做底．计算这块铁皮的半径为 cm ．14.在⊙O 中，半径为2，弦AB 的长为2，则弦AB 所对的圆周角的度数为_______；15.某种型号的电视机经过两次降价，价格从原来每台2250元降为每台1440元，则平均每次下降的百分率是____________； 16.Rt △ABC 中，∠C ＝90°，AC=5,BC=12,则它的内切圆半径为____________；三．解答题（共69分） 17．（5分）先化简、再求值：33)225(423-=---÷--a a a a a ，其中。

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模拟试卷二（90分钟）
一、选择题（共12小题，每小题3分，共36分）
1．下列各数中，最大的是（）
A ．－3
B ．0
C ．1
D ．2
2．式子在实数范围内有意义，则x 的取值范围是（） A ．<1 B ．≥1 C ．≤－1 D ．<－1
3．不等式组的解集是（）
A ．－2≤≤1
B ．－2<<1
C ．≤－1
D ．≥2
4．袋子中装有4个黑球和2个白球，这些球的形状、大小、质地等完全相同，在看不到球的条件下，随机地从袋子中摸出三个球．下列事件是必然事件的是（） A ．摸出的三个球中至少有一个球是黑球． B ．摸出的三个球中至少有一个球是白球． C ．摸出的三个球中至少有两个球是黑球．
D ．摸出的三个球中至少有两个球是白球．
5．若，是一元二次方程的两个根，则的值是（） A ．－2 B ．－3 C ．2 D ．3
6．如图，△ABC 中，AB ＝AC ，∠A ＝36°，BD 是AC 边上的高，则∠DBC 的度数是（）
A ．18°
B ．24°
C ．30°
D ．36° 7．如图，是由4个相同小正方体组合而成的几何体，它的左视图是（）
A ．
B ．
C ．
D ．
8．两条直线最多有1个交点，三条直线最多有3个交点，四条直线最多有6个交点，……，那么六条直线最多有（）
A ．21个交点
B ．18个交点
C ．15个交点
D ．10个交点
1-x x x x x ⎩
⎨⎧≤-≥+010
2x x x x x x 1x 2x 0322=--x x 21x x 第6题图
D
C
B
A
9．为了解学生课外阅读的喜好，某校从八年级随机抽取部分学生进行问卷调查，调查要求每人只选取一种喜欢的书籍，如果没有喜欢的书籍，则作“其它”类统计。

图（1）与图（2）是整理数据后绘制的两幅不完整的统计图。

以下结论不正确．．．的是（）
A ．由这两个统计图可知喜欢“科普常识”的学生有90人．
B ．若该年级共有1200名学生，则由这两个统计图可估计喜爱“科普常识”的学生约有 360个．
C ．由这两个统计图不能确定喜欢“小说”的人数．
D ．在扇形统计图中，“漫画”所在扇形的圆心角为72°．
10．如图，⊙A 与⊙B 外切于点D ，PC ，PD ，PE 分别是圆的切线，C ，D ，E 是切点，若∠CED ＝°，∠ECD ＝°，⊙B 的半径为R ，则的长度是（
A ．
B ．
C ． D
．
二、填空题（共4小题，每小题3分，共12分）
11．计算＝．
12．在2013年的体育中考中，某校6名学生的分数分别是27、28、29、28、26、28．这组
数据的众数是．
13．太阳的半径约为696 000千米，用科学记数法表示数696 000为． 14．设甲、乙两车在同一直线公路上匀速行驶，开始甲车在乙车的前面，当乙车追上甲车后，
两车停下来，把乙车的货物转给甲车，然后甲车继续前行，乙车向原地返回．设秒后两车间的距离为千米，关于的函数关系如图所示，则甲车的速度是米/
秒．
x y ⋂
DE ()9090R
x -π()90
90R
y -π()180180R
x -π()180
180R y -π︒45cos x y y x 第9题图（2）
第9题图（1）
30%
其它10%科普常识漫画
小说
书籍
P
第10题图
15．如图，已知四边形ABCD 是平行四边形，BC ＝2AB ，A ，B 两点的坐标分别是（－1，0），
（0，2），C ，D 两点在反比例函数的图象上，则的值等于．
16．如图，E ，F 是正方形ABCD 的边AD 上两个动点，满足AE ＝DF ．连接CF 交BD 于G ，连
接BE 交AG 于点H ．若正方形的边长为2，则线段DH 长度的最小值是．
三、解答题（共9小题，共72分）
17．（本题满分6分）解方程：
．
18．（本题满分6分）直线经过点（3，5），求关于的不等式≥0的解集． 19．（本题满分7分）有两把不同的锁和四把不同的钥匙，其中两把钥匙恰好分别能打开这
两把锁，其余的钥匙不能打开这两把锁．现在任意取出一把钥匙去开任意一把锁．（1）请用列表或画树状图的方法表示出上述试验所有可能结果；
)0(<=
x x
k
y k b x y +=2x b x +2
第16题图
H
G
F E D
C
B
A
（2）求一次打开锁的概率． 22．（本题满分8分）如图，在平面直角坐标系中，△ABC 是⊙O 的内接三角形，AB ＝AC ，点
P 是的中点，连接PA ，PB ，PC ．
（1）如图①，若∠BPC ＝60°，求证：；
（2）如图②，若，求的值．
24．（本题满分10分）已知四边形ABCD 中，E 、F 分别是AB 、AD 边上的点，DE 与CF 交于点G ．
（1）如图①，若四边形ABCD 是矩形，且DE ⊥CF ，求证
；（2）如图②，若四边形ABCD 是平行四边形，试探究：当∠B 与∠EGC 满足什么关系时，使得
成立？并证明你的结论；（3）如图③，若BA =BC =6，DA =DC =8，∠BAD ＝90°，DE ⊥CF ，请直接写出的值．
⋂
AB AP AC 3=25
24
sin =∠BPC PAB ∠tan CD
AD
CF DE =
CD
AD
CF DE =
CF
DE
第22题图①
E F G
A B C
D
第24题图①
第24题图②
A
B C
D
F G
E
第24题图③
A B
C
D
F
G
E
25．（本题满分12分）如图，点P 是直线：上的点，过点P 的另一条直线交抛物线于A 、B 两点．
（1）若直线的解析式为，求A 、B 两点的坐标；（2）①若点P 的坐标为（－2，），当PA ＝AB 时，请直接写出点A 的坐标；
②试证明：对于直线上任意给定的一点P ，在抛物线上都能找到点A ，使得PA ＝AB
成立．（3）设直线交轴于点C ，若△AOB 的外心在边AB 上，且∠BPC ＝∠OCP ，求点P 的坐标．
（注：可编辑下载，若有不当之处，请指正，谢谢!）
l 22--=x y m 2x y =m 2
3
21+-
=x y t l l y。

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