四川省资阳中学高一自主招生试题

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四川省资阳市高中阶段教育学校招生统一考试.doc

四川省资阳市高中阶段教育学校招生统一考试.doc

四川省资阳市高中阶段教育学校招生统一考试姓名:_____________ 年级:____________ 学号:______________一、未分类(共1题) 1. 下面短文中标有题号的十行中均有一处错误,请先用____________he came tothe main road, looked to both ____________to see that nothing was coming,and then drove across without____________completely.At once he heard a police whistle (口哨声), so he ____________his car to the side of the road and stopped. A policeman walked over to him with a notebook and ____________Mr. Williams. “It just says ‘Slow ’, and I did go slow.”The policeman looked ____________him, and a look of surprise came over his____________his notebook and pencil away, scratched (搔)his head and said, “Well, sorry! I am in the____________street!”1. _________________2. _________________3. _________________4. _________________5. _________________6. _________________7. _________________ 8. _________________9. _________________ 10. _________________【答案】 1. when 2. ways 3. stopping 4. drove5. pencil6. answered7. around8. face9. put 10. wrong难度:中等 知识点:相似、相近词比较 三、阅读理解(共5题)1. A few minutes ago, walking back from lunch, I started to cross the street when I heard the sound of a coin dropping. It wasn ’t much but, as I turned, my eyes caught the heads of several other people turning too. A woman had dropped what seemed to be a dime (十美分硬币).The sound of a coin dropping on the street catches everybody ’s attention. Whatever the coin is, no one ignores (忽视)the sound of it. It got me thinking about sounds again. There are so many sounds that catch the most attention. People in New York City seldom turn to look when they hear the siren (警报)of a police car or an ambulance (救护车).When I ’m in New York, I ’m a New Yorker. I don ’t turn either. I hardly hear a siren there.At home in my little town in Connecticut, it ’s different. The faraway high sound of a police car, an ambulance or a fire siren brings me to my feet if I ’m sitting and brings me to the window if I ’m in bed.It ’s the quietest sounds that catch our attention most easily, not the loudest. Inthe middle of the night, I can hear water dropping a hundred yards away through three closed doors. I’ve been hearing little creaking(吱嘎)noises and sounds in the middle of the night for twenty-five years in our house. Why do I never hear those sounds in the daytime?1. The sound of a coin dropping made people _______.A. think of moneyB. shout aloudC. pay attention to itD. look at each other2. People in New York _______.A. are used to sirensB. don’t hear loud noisesC. are interested in soundsD. don’t care about quiet sounds3. The writer _______.A. has a bad hearingB. stays up late at nightC. comes from a little townD. sleeps next to the window4. The last paragraph(段落)tells us that _______.A. the writer thinks a lot at nightB. water should be turned off at nightC. the sounds at night make the writer afraidD. the quietest sounds at night are easily heard 【答案】 CACD难度:中等知识点:阅读表达2. As we know, there are differences between western culture and Chinese culture. We can see differences when we pay attention to the way words are used. Let’s look at the words about animals and plants. Most expressions in Chinese about the dog, for example, “a homeless dog”, “a mad dog”, “a running dog” and “a dog catching a mouse”, have negative(消极的)meanings. But in western countries, dogs are thought to be honest and good friends of humans. In English, people use the dog to describe positive(积极的)actions. For example, “you are a lucky dog” means you are a lucky person. And “every dog has its day” means each person has good luck sometimes. To describe a person’s serious illness, they say “sick as a dog”. The word “dog-tired” means very tired. However, Chinese love cats very much. But in western culture, “cat” is often used to describe a woman who is cruel(冷酷的). There are many other examples of how “cat” is used differently as well.The rose is regarded as a symbol(象征)of love in both China and some western countries. People think the rose stands for(代表)love, peace(和平), courage and friendship. And the rose is the national flower of England, America and many other countries.The words about plants and animals are used in positive or negative ways in different cultures. We can learn about many differences in cultures by comparing how some words are used.1. The word “dog” in Chinese usually _______.A. shows peaceB. stands for friendshipC. has a negative meaningD. has a positive meaning2. “Every dog has its day.” means “_______”.A. Everybody in the world is lucky.B. Each person lives his own way of life.C. If one works hard, he’s sure to succeed.D. Everybody has a time in life to be lucky.3. Western people usually use “cat” to refer to(指代)“_______”.A. a tired personB. a brave manC. a homeless personD. an unkind woman4. Which of the following is true according to the passage?A. Words show differences in culture.B. Chinese people prefer dogs to cats.C. Western people think cats to be good friends.D. Rose is the national flower of al 【答案】 CDDAB难度:中等知识点:阅读表达3. A wise(有智慧的)woman who was traveling in the mountains found a precious stone in a small river. The next day she met another traveler who was hungry, and the wise woman opened her bag to share her food. The hungry traveler saw the precious stone in the wise woman’s bag, admired(羡慕)it, and asked the wise woman to give it to him. The wise woman did so happily. The traveler left, excited with his good luck. He knew the stone was worth(值……)enough for him to live on for his whole life.But a few days later he came back, searching for the wise woman. When he found her, he returned the stone and said, “I have been thinking. I know how valuable(有价值的)this stone is, but I give it back to you and hope that you can give me something much more precious. If you can, give me what you have within(在……里面)you that made you give me the stone.”1. Where did the woman find the stone?A. In a bag.B. In a village.C. Under a tree.D. In a small river.2. How did the man feel when he met the woman?A. He was sorry.B. He was sad.C. He was hungry.D. He was excited.3. What does “precious” mean in this passage?A. 古老的B. 珍贵的C. 坚硬的D. 新奇的4. We know from the passage that _______.A. the man lived happily since he got the stoneB. the man got the stone after he paid a lot of moneyC. the man wanted to have the same good feeling as the womanD. the woman and the man were travelling together in the mountain【答案】 DCBC难度:中等知识点:阅读表达4. A young lady was on holiday in Brighton. One day, she went into a bank to get some money. It had been sent there for her from the town where she lived.The clerk(职员)in the Brighton bank did not know her, so he said, “What proof(证明)have you got that you are really the lady who should get this money?”The young lady looked worried for a few moments and said, “I don’t think I’ve broughtany proof with me,” but then she suddenly looked happy again. She opened her bag, took a photo of herself out of it and showed it to the clerk. “Here’s something,” she said.The clerk looked at the photo carefully and then looked at the young lady. l A. Because she didn’t know the clerk.B. Because she was far way from home.C. Because she had spent all her money.D. Because she couldn’t prove who she was.3. From the passage we can see that the clerk was _______.A. sillyB. kindC. cleverD. impolite【答案】 ADA难度:中等知识点:阅读表达5. Summer School trips are planned every Wednesday afternoon. Some may last to the evening when we will go on a theatre trip. Weekends are planned for all-day trips and activities. All the trips are designed(设计)to introduce students to Scotland’s culture, exciting cities and beautiful scenery(风景), while giving them a fun-filled break from timetabled classes. On Wednesdays students can choose from:l Glamis Castle(城堡): Visit childhood home of Queen Elizabeth and one of Scotland’s most beautiful castles.l Royal(皇家)research ship Discovery: Visit Captain Scott’s famous research ship Discovery. l Elie Watersports: Go boating and sailing.Saturday trips:l Edinburgh: Visit Scotland’s beautiful capital. Discover Edinburgh Castle, walk along Princes Street, home to some of Edinburgh’s best shops, discover the city’s past.l Glasgow: Experience Scotland’s city of culture and buildings, internationally famous for its Victorian buildings and wonderful museums. Visit Scotland’s best-loved museum.Discover and experience Scotland: the best small country in the world. You will not be disappointed (失望).1. When will the students have their trips?A. On Sunday.B. On Wednesday morning.C. On Wednesday and Sunday.D. On Wednesday and Saturday.2. Where did Queen Elizabeth live when she was young?A. Glasgow.B. Glamis Castle.C. Elie Watersports.D. Edinburgh Castle.3. If you want to go shopping, the best place to go to is _______.A. GlasgowB. EdinburghC. Elie WatersportsD. Discovery4. What you have read is ____________they could keep themselves safe from the sun, wind, rain and cold.Today, we can use ____________materials(材料)to make different kinds of clothes. But clothes do____________than keep us warm in modern society, and they can also ____________about our culture, our life, our jobs, our hobbies and even our mood(情绪). ____________from the uniform. When we see a woman in a kimono(日本和服), we may think that she is ____________. If a man always wears sportswear, we may think he is ____________and likes doing exercise. If a person____________wears yellow or red clothes, maybe he or she is lively and easy-going(随和的). As the saying goes, “You are what you ____________work. His only son, who always ____________him in the past, was then in prison(监狱). So the old man wrote a letter to his son and said: Dear Son,I am feeling pretty bad because it looks like I won’t be able to ____________potatoes in my garden this year. I ____________to miss doing it, because your mother always loved planting time. I’ m just getting too old to dig up a garden. If you were here, all my ____________would be over. I know you would dig up the garden for me ____________you weren’t in prison.Love,DadSoon the old man ____________came and dug up the whole garden without finding any guns. The old man was ____________and wrote another note to his son. He told him what had happened, and ____________him what to do next.His son’s reply was: “Go ahead and plant your potatoes, Dad. It’s the best I could do for you from here.”1. A. hard B. interesting C. simple D. boring2. A. taught B. helped C. changed D. stopped3. A. cook B. dig C. plant D. put4. A. hope B. forget C. hate D. decide5. A. trouble B. illness C. dangerD. fear6. A. if B. unless C. becauseD. when7. A. wrote B. received C. sent D. read8. A. friends B. neighbors C. policemen D. prisoners9. A. ill B. lucky C. surprisedD. sorry30. A. told B. called C. invited D. asked【答案】 1—5ABCCA6—10 ABCCD难度:中等知识点:阅读表达五、选择题(共20题)1. —_______?—He’s a tall man with short hair.A. How is heB. What does he likeC. What is heD. What does he look like 【答案】 D难度:中等知识点:情景交际2. Many people learn English because it _______ widely _______ in the world.A. is; usedB. was; usedC. is; usingD. was; using【答案】 A难度:中等知识点:动词时态3. —What did you say just now?—I asked _______.A. that I could open the doorB. could I open the doorC. how could I open the doorD. how I could open the door【答案】 D难度:中等知识点:宾语从句4. Would you mind _______ me how to remember English words?A. tellB. to tellC. tellingD. told【答案】 C难度:中等知识点:非谓语动词5. —What about playing football this afternoon, Sam?—I would rather _______ at home than _______ football. It’s too hot outside.A. stay; playingB. stay; playC. to stay; to playD. to stay; playing【答案】 B难度:中等知识点:非谓语动词6. Schools _______ allow students at least one hour a day for sports.A. wouldB. mightC. shouldD. could【答案】 C难度:中等知识点:情态动词7. They _______ for Shanghai on Friday. Shall we go to see them off at the train station?A. leftB. were leavingC. have leftD. are leaving【答案】 D难度:中等知识点:动词时态8. —_______ do you call your parents?—Every day.A. How longB. How soonC. How oftenD. How far【答案】 C难度:中等知识点:相似、相近词比较9. Try to guess its meaning when you meet a new word. Don’t _______ your dictionary all the time.A. work onB. try onC. keep onD. depend on【答案】 D难度:中等知识点:相似、相近词比较10. China is the third _______ country in the world.A. largeB. largestC. largerD. as large as【答案】 B难度:中等知识点:句型转换11. Most young people find _______ exciting to watch a football match.A. itB. thisC. thatD. one【答案】 A难度:中等知识点:指示代词12. It’s so crowded here. Let’s make some _______ for the baby.A. groundB. roomC. seatsD. chairs【答案】 B难度:中等知识点:名词13. “_______ exercise every day, my child. It’s good for your health,” Father said.A. TakingB. To takeC. TakeD. Takes【答案】 C难度:中等知识点:非谓语动词14. All the _______ teachers enjoyed themselves on March 8th, because it was their own holiday.A. manB. menC. womanD. women【答案】 D难度:中等知识点:名词15. The house is too small for his family _______.A. to live inB. living inC. live inD. lives in【答案】 A难度:中等知识点:非谓语动词16. —How much does it cost to build the school library?—Four _______ yuan.A. million ofB. millions ofC. millionsD. million【答案】 D难度:中等知识点:副词17. _______ many children like sugar, I think they had better try not to eat it too often.A. BecauseB. WhenC. AlthoughD. If【答案】 C难度:中等知识点:连词18. Betty arrived in London _______ the morning of May 25th.A. onB. atC. inD. for【答案】 A难度:中等知识点:介词和介词短语19. Don’t talk to Tom like that. He is only _______ eleven-year-old boy.A. aB. anC. theD.不填【答案】 B难度:中等知识点:冠词20. —Could I get you something to drink?—_______. I’m thirsty.A. Yes, pleaseB. No, thanksC. You are welcomeD. Here you are【答案】 A难度:中等知识点:情景交际六、书面表达(共1题)1. 假设你叫李华,你的英国笔友Linda为了来中国参观奥运会而报名参加了汉语培训班学习汉语。

【考试必备】2018-2019年最新资阳中学初升高自主招生语文模拟精品试卷【含解析】【4套试卷】

【考试必备】2018-2019年最新资阳中学初升高自主招生语文模拟精品试卷【含解析】【4套试卷】

2018-2019年最新资阳中学自主招生语文模拟精品试卷(第一套)(满分:100分考试时间:90分钟)一、语文基础知识(18分,每小题3分)1.下列词语中加点的字,读音全都正确的一组是()A.连累(lěi) 角(juã)色河间相(xiàng) 冠冕(miǎn)堂皇B专横(hâng) 忖(cǔn)度涮(shuàn) 羊肉妄加揣(chuāi)测C.笑靥(yâ) 顷(qīng)刻汗涔(cãn)涔休戚(qì)相关D慨叹(kǎi) 俨(yǎn)然刽子手(kuàì) 刎(wěn)颈之交2、下列各项中字形全对的是()A、橘子州偌大急躁光阴荏苒B、蒙敝犄角慰籍书生意气C、敷衍磕绊笔竿艰难跋涉D、翱翔斑斓屏蔽自怨自艾3、依次填入下列各句横线上的词语,最恰当..的一项是()⑴虽然他尽了最大的努力,还是没能住对方凌厉的攻势,痛失奖杯。

⑵那些见利忘义,损人利己的人,不仅为正人君子所,还很可能滑向犯罪的深渊。

⑶我认为,真正的阅读有灵魂的参与,它是一种个人化的精神行为。

A.遏制不耻必需B.遏止不耻必需C.遏制不齿必须D.遏止不齿必须4、下列句中加点的成语,使用恰当的一句是()A、故宫博物院的珍宝馆里,陈列着各种奇珍异宝、古玩文物,令人应接不暇。

B、任何研究工作都必须从积累资料做起,如果不掌握第一手资料,研究工作只能是空中楼阁....。

C、电影中几处看来是闲笔,实际上却是独树一帜之处。

D、这部精彩的电视剧播出时,几乎万人空巷,人们在家里守着荧屏,街上显得静悄悄的。

5、下列句子中,没有语病的一项是()A 大学毕业选择工作那年,我瞒着父母和姑姑毅然去了西藏支援边疆教育。

B北京奥运会火炬接力的主题是‚和谐之旅‛,它向世界表达了中国人民对内致力于构建和谐社会,对外努力建设和平繁荣的美好世界。

C他不仅是社会的一员,同时还是宇宙的一员。

他是社会组织的公民,同时还是孟子所说的‚天民‛。

人教版数学高一2011年资阳中学自主招生数学试题

人教版数学高一2011年资阳中学自主招生数学试题

数 学 试 题 卷温馨提示:1.本试卷分试题卷和答题卷两部分,满分120分,考试时间90分钟。

2.所有答案都必须做在答题卷标定的位置上,请务必注意试题序号和答题序号相对应。

一、选择题:(本题有8小题,每小题4分,共32分)1.若2|1|816x x x ---+化简的结果为25x -,则x 的取值范围是( ) A .x 为任意实数 B .14x ≤≤ C .1x ≥ D .4x ≤2.关于x 的方程1x ax =+的解不可能出现的情况为( ) A .正数B .零C .负数D .无解3.设1x 、2x 是方程02=++k x x 的两个实根,若恰有22221212k x x x x =++成立,则k 的值为( ) A .1- B .21或 1- C .21 D .21-或 14.一名模型赛车手遥控一辆赛车,先前进1m ,然后,原地逆时针方向旋转角a(0°<α<180°)。

被称为一次操作.若五次操作后,发现赛车回到出发点,则角α为 ( )A.72°B.108°或144°C.144°D.72°或144° 5.如图:在正方形ABCD 中,点E 、F 分别在边BC 、CD 上,如果AE=4,EF=3,AF=5,那么正方形ABCD 的面积等于( ) A .22516 B .25615 C .25617 D .289166.如图:AB 是⊙O 的直径,M 是⊙O 上一点,MN ⊥AB ,垂足为N ,P 和Q 分别是AM 和BM 上一点,(不与端点重合),如果∠MNP=∠MNQ ,下面结论:①1=∠2;②∠P+∠Q=180°;③∠MQN=∠PMN ;④PM=QM ;⑤ 2MN PN QN =•。

其中正确的是( )A .①③B .①③⑤C .④⑤D .①②⑤ 7.如图,直角梯形ABCD 中,∠A =90°,∠B =45°,底边AB =5,高AD =3,点E 由B 沿折线BCD 向点D 移动,EM ⊥AB 于M ,EN ⊥AD 于N ,设BM =x ,矩形AMEN 的面积为y ,那么y 与x 的函数关系的图像大致是( )8.如图:以Rt ABC 的斜边BC 为一边在ABC ∆的同侧作正方形BCEF ,设正方形的中心为O ,连结AO ,如果AB =4,AO =62,那么AC 的长是( )A .14B .16C .18D .82二、填空题:(本题有6个小题,每小题4分,共24分) 9.若x 为实数,且212x x+22x x ++=-2,则22x x +的值为________________。

四川省资阳中学高一自主招生试题

四川省资阳中学高一自主招生试题

数学试题(2016)本试题卷分第Ⅰ卷(单项选择题)和第Ⅱ卷(非单项选择题),共4页。

考生作答时,须将答案写在答题卡上,在本试题卷、草稿纸上答题无效。

全卷满分120分,考试时间100分钟。

考试结束后,将本试题卷和答题卡一并交回。

Ⅰ卷 选择题部分一、选择题:(每小题只有一个正确答案,共10小题,每小题4分,共40分) 1.某种细胞的直径是0.00000095米,将0.00000095用科学计数法表示为( A )A.9.5×10-7B. 9.5×10-8C.0.95×10-7D. 95×10-82、一组数据2,x ,4,3,3的平均数是3,则这组数据的中位数、众数、方差分别是(A) A .3,3,0.4 B .2,3,2 C .3,2,0.4 D .3,3,2 3.若长为5,12,-a a 的线段能构成一个三角形,则a 的取值范围是( B )A. 61<<aB.62<<aC.52≤<aD.62<≤a 4. 为了节约水资源,某市准备按照居民家庭年用水量实行阶梯水价,水价分档递增。

计划使第一档、第二档和第三档的水价分别覆盖全市居民家庭的80%,15%和5%。

为合理确定各档之间的界限,随机抽查了该市5万户居民家庭上一年的年用水量(单位:3m ),绘制了统计图,如图所示,下面有四个推断:其中正确的是( B )① 年用水量不超过1803m 的该市居民家庭按第一档水价交费② 年用水量超过2403m 的该市居民家庭按第三档水价交费③ 该市居民家庭年用水量的中位数在150-180之间 ④ 该市居民家庭年用水量的平均数不超过180A 、①③B 、 ①④C 、②③D 、②④ 5.如图,I 是∆ABC 的内心,AI 的延长线和△ABC 的外接圆相交于点D ,连接BI ,BD ,DC 下列说法中错误的一项是(D)A .线段DB 绕点D 顺时针旋转一定能与线段DC 重合 B .线段DB 绕点D 顺时针旋转一定能与线段DI 重合C .∠CAD 绕点A 顺时针旋转一定能与∠DAB 重合D .线段ID 绕点I 顺时针旋转一定能与线段IB 重合 6.如图,已知菱形OABC 的顶点是O (0,0),B (2,2),若菱形绕点O 逆时针旋转,每秒旋转450,则第60秒时,菱形的对角线交点D 的坐标为( B )A.(1,-1) B.(-1,-1) C.0) D.(0,7、如图:A 、B 、C 是反比例函数(0)ky k x=<图像上三点,作直线l ,使点A 、B 、C 到直线l 的距离之比为3:1:1,则满足条件的直线l 共有( D )A 、1条B 、2条C 、3条D 、4条8、如图,矩形ABCD 中,AB =3,BC =5,点P 是BC 边上的一个动点(点P 不与点B 、C 重合),现将△PCD 沿直线PD 折叠,使点C 落在点C ’处,作∠BPC ’的角平分线交AB 于点E ,设BP =x ,BE =y ,则下列图象中,能表示y 与x 的函数关系的图象大致是 ( D )9. 已知抛物线y=﹣x 2+1的顶点为P ,点A 是第一象限内该二次函数图象上一点,过点A 作x 轴的平行线交二次函数图象于点B ,分别过点B 、A 作x 轴的垂线,垂足分别为C 、D ,连结PA 、PD ,PD 交AB 于点E ,△PAD 与△PEA ( A )A .始终相似B .始终不相似C .只有AB=AD 时相似 D .无法确定10、在一次球类比赛中有八个队参赛,每两个队要进行一场比赛,胜一场得2分,平一场得1分,负一场得0分,若一个队要进入前四名(即积分至少要超过其他四个队),则该队的积分最少是( C )分A 、9分B 、10分C 、11分D 、12分Ⅱ卷 非选择题部分二、填空题:(本题5小题,每小题4分,共20分)11、因式分解:a 4+7a 2-8= .(a+1)( a-1)(a 2+8)12. 对于X ,Y 定义一种新运算“*”:X*Y=aX+bY ,其中a ,b 为常数,等式右边是通常的加法和乘法的运算.12ba =成立,那么2*3= 1 .13、如图,摩天轮⊙P 的最高处A 到地面l 的距离是62米,最低处B 到地面l 的距离是2米.若游客从B 处乘摩天轮绕一周需15分钟,则游客从B 处乘摩天轮到地面l 的距离是47米时至少需 5 分钟.14.如图,P 是等边三角形ABC 内一点,将线段AP 绕点A 顺时针旋转60°得到线段AQ ,连接BQ .若PA=6,PB=8,PC=10,则四边形APBQ 的面积为 24+9 .15、 在如图所示的33⨯网格中,从顶点A 到顶点B 的所有不同的走法中;其中走从点A 至点C 再至点B 线路的概率是5321Ox三、解答题:(本题共7小题,共60分)16.先化简,再求值222x x 11x x x 2x 1-⎛⎫-÷ ⎪+++⎝⎭,其中x 的值从不等式组x 12x 14-≤⎧⎨-⎩<的整数解中选取。

【考试必备】2018-2019年最新资阳中学初升高自主招生考试英语模拟精品试卷【含解析】【4套试卷】

【考试必备】2018-2019年最新资阳中学初升高自主招生考试英语模拟精品试卷【含解析】【4套试卷】

2018-2019年最新资阳中学自主招生考试英语模拟精品试卷(第一套)考试时间:120分钟总分:150分第I卷(选择题,共100分)第一节:单项填空(共25小题,每小题1分,满分25分)1. —When did the terrible earthquake in YaNan happen?—It happened ________ the morning of April 20, 2013.A. onB. atC. inD. /2. Our teacher told us ________ too much noise in class.A. to makeB. makeC. not to makeD. not make3. Here is your hat. Don’t forget______ when you __________.A. to put it on, leaveB. to wear it, leaveC. to wear it, will leaveD. putting it on, will leave4. The baby is sleeping. You _____ make so much noise.A. won’tB. mustn’tC. may notD. needn’t5. Since you are _____ trouble, why not ask _________ help?A. in, forB. in, toC. with, forD. with, to6. It’s about___________kilometers from Nanchong to Chengdu.A. two hundredsB. two hundreds ofC. two hundredD. two hundred of7. It is six years since my dear uncle ________China.A. leftB. has leftC. is leftD. had left8. —How long _______ you _______ the bicycle?—About two weeks.A. have, hadB. have, boughtC. did, buyD. have, have9. The Yellow River is not so ________ as the Yangtze River.A. longerB. longC. longestD. a long10. Mrs.Green usually goes shopping with ________ umbrella in ________ summer.A. a;theB. an; /C. the; aD. /;/11. At first, I was not too sure if he could answer the question. However, ____,he worked it out at last with the help of his friend.A. to my angerB. to my surpriseC. in other wordsD. ina word12. —Must I stay here with you?—No, you ______.You may go home, but you _____ go to the net bar (网吧).A. mustn't; needn'tB. needn't; mustn'tC. must; needD. need; must13. I ______ the newspaper while my mother _____TV plays yesterday evening.A. was reading; was watchingB. was reading; watchedC. read; was watchingD. read; would watch14. It's a rule in my class that our classroom ________ before 6:00 p. m.every day.A. be able to cleanB. should be cleaningC. must cleanD. must be cleaned15. —Tom wants to know if you ________ a picnic next Sunday.—Yes. But if it ________, we'll visit the museum instead.A. will have; will rainB. have; rainsC. have; will rainD. will have; rains16.—Would you mind looking after my dog while I'm on holiday?—________.A. Of course notB. Yes. I'd be happy toC. Not at all. I've no timeD. Yes, please17. Many students didn’t realize the importance of study _______they left school.A. whenB. untilC. afterD. unless18. My father _______ to Shanghai. He _______ for over 2 months.A. has been, has leftB. has gone, has goneC. has gone, has been awayD. has been, has gone19. They are your skirts. Please __________.A. put it awayB. put out itC. put them awayD. put them out20. —Please read every sentence carefully. you are,mistakes you’llmake.—Thank you for your advice.A. The more carefully; the fewerB. The more careful; the lessC. The more carefully; the lessD. The more careful; the fewer21. My friend is coming today but he didn’t tell me _______.A. when did the train arriveB. how did the train arriveC. when the train arrivedD. how the train arrived22. I felt it hard to keep up with my classmate s. But whenever I wantto _______, my teacher always encourages me to work harder.A. go onB. give upC. run awayD. give back23. —________ fine weather it is today!—Let's go for a picnic.A. WhatB. HowC. What aD. How a24.— Mary, you’re going to buy an apartment here, aren’t you?—Yes, but I can’t_______an expensive one.A. spendB. costC. payD. afford25. —Would you like to drink coffee or milk?—_________. Please give me some tea.A. NeitherB. BothC. EitherD. None第二节:完形填空(共20小题,每小题1分,满分20分)(A)Big schoolbags have been a serious problem for students for a long time.Maybe your schoolbag is too __26__ to carry, and it troubles you a lot __27__ you want to find a book out to read. Now an e­textbook will __28__ you.It is said that e­textbooks are going to be __29__ in Chinese middle schools.An e­textbook, in fact, is a small __30__ for students.It is much __31__ than a usual schoolbag and easy to carry. Though it is as small as a book, it can __32__ all the materials (材料) for study.The students can read the text page by page on the __33__, take notes with the pointer (屏写笔). Or even “__34__” their homework to their teachers by sending e­mails. All they have to do is to press a button.Some people say e­textbooks are good, but some say they may be __35__ for the students' eyes. What do you think of it?26.A.light B. heavy C. useful D. comfortable27.A.till B. after C. before D. when28.A.trouble B. prevent C. help D. understanded B. kept C. invented D. lent B. radio C. pen D. computer31.A.heavier B. lighter C. cheaper D. brighter32.A.hold B. build C. discover D. practice33.A.blackboard B. desk C. screen D. card34.A.find out B. hand in C. get back D. give back35.A.helpful B. famous C. good D. bad(B)Food is very important. Everyone needs to _36_ _well if he/she wants to have a strong body. Our minds also need a kind of food. This kind of food is__ 37 __.We begin to get a knowledge even when we are very young. Small children are __38__ in everything around them. They learn __39 __while they are watching and listening. When they are getting older, they begin to ___ 40__ story books, science books…anything they like. When they find something new, they have to ask questions and__41___ to find out the answers.What is the best ___42___to get knowledge? If we learn___43___ourselves, we will get the most knowledge, If we are__44___getting answers from others and don’t ask why, we will never learn more and understand___45_.36. A. sleep B. read C. drink D. eat37. A. sport B. exercise C. knowledge D. meat38. A. interested B. interesting C. weak D. meat39. A. everybody B. something C. nothing D. anything40. A. lend B. write C. think D. read41. A. try B. wait C. think D. need42. A. place B. school C. way D. road43. A. in B. always C. to D. by44. A. seldom B. always C. certainly D. sometimes45.A.harder B. much C. well D. better第三节:阅读理解(共25小题,每小题2分,满分50分)AFamous Museums_______ .A. BeijingB. LondonC. New YorkD. The USA47. New York Museum is America’s largest museum on American__________.A. areaB. historyC. collectionsD. buildings48. The Palace Museum. Which is in the center of Beijing, is also called“Forbidden City(紫禁城)” in China. It lies in __________.A.Chang’an StreetB. New Oxford StreetC. BerlingD. Chestnut Street49. According to the form, if you want to see ancient Chinese collections,you can visit ____ at most.A. one museumB. two museumsC. three museumsD. four museums50. Which of the following is TRUE according to the information above?A. Each ticket for the Palace Museum costs the same in the whole year.B. You don’t have to pay for tickets if you visit New York Museum on Monday.C. British Museum lies in Chestnut street, London.D. New York Museum is the largest in the world.BIn recent years, more and more people like to keep pets such as a dog, a cat, a monkey and other animals. But usually people would accept tame(温顺的) and loyal(忠诚的) animals as pets rather than dangerous ones such as a lion,a tiger or a snake.People love pets and take good care of them. The owners usually regard pets as good friends and some even consider them as members of the family. Although they are not human beings(人类), their behavior sometimes is better than human beings, for they are always loyal to their owners. There are always many stories about brave and smart pets. We often hear that a pet dog saved the owner's life or traveled thousands of miles to return home. Such stories often make pets more lovely.Some pets can also be trained to help people with some special work. For example, trained dogs can help the blind to walk and trained dogs and pigs can even help police to find where drugs are easily.But pets are sometimes trouble-makers. Some pets like dogs or snakes may hurt people without any warning. Some people may become ill after being hurt because of the virus carried by the pets. If they are not taken good care of, they will become very dirty and easily get ill. So pets are helpful to us but keeping pets is not an easy job.51. What animals are thought to be dangerous as pets?A. Cats.B. Dogs.C. Snakes.D. Monkeys52. Which of the following statements is TRUE about pets?A. All the pets are considered as family members.B. Pets always behave better than human beings.C. Sometimes some pets can protect their owners.D. Pets like traveling far away from home.53. Why do people train pets according to the passage?A. To make them more clever.B. To make them more lovely.C. To find drugs for the blind.D. To do some special work.54. What can we learn from the last paragraph?A. Pets often hurt strange people.B. Pets can live well with the virus.C. Pets are dirty and dangerous.D. Pets should be looked after well.55. What is the best title for the passage?A. Training Pets.B. Keeping Pets.C. Cleaning Pets.D.Loving Pets.CFrom Feb. 8 to Mar. 1 is our winter holiday. I think everybody did a lot in the holiday. But it seems that I did nothing and it was my most unlucky holiday.I spent a lot of time on my homework. Every morning my mother woke me up early and I had breakfast in a hurry. Then I had to do my homework almost the whole day! I’m not a very slow person but the homework was too heavy!I was also unlucky when playing. During the Spring Festival, I played fireworks but my finger was hurt because I was careless to light the fireworks. I began to fear playing with fireworks from then.I was still unlucky on my friend’s party. On my friend’s birthday, unusually I woke up at 10:50 because my parents went to visit my grandmother early in the morning. The party would start in 10 minutes! So I hurried to my friend’s home without breakfast. I returned very late that day and when I got home, my parents were very angry with me.Another worrying thing was my weight. Last term, I was 46 kg but nowI am 51 kg! I have to consider losing weight!56. How long did the winter holiday last?A. two monthsB. one monthC. 4 weeksD. 22 days57. The writer got up early every day during the holiday because ______.A. he had to finish homeworkB. he had to have breakfastC. he was a very slow personD. his mother was in a hurry58. He hurt his finger because of ________.A. the Spring FestivalB. his carelessnessC. the light of fireworksD. his fear of playing59. Why were the writer’s parents angry with him?A. Because he got up too late.B. Because he missed breakfast.C. Because he was late for the party.D. Because he came back home too late.60. What did the writer want to tell us in the passage?A. He had an unlucky holiday.B. He had too much homework.C. His parents were very strict.D. He planned to lose weight.DSteven Jobs, the designer of Apple Computer, was not clever when he was in school.At that time, he was not a good student and he always made troubles with his schoolmates.When he went into college, he didn't change a lot.Then he dropped out.But he was full of new ideas.After he left college, Steven Jobs worked as a video game designer.He worked there for only se­veral months and then he went to India.He hoped that the trip would give him some new ideas and give him a change in life.Steven Jobs lived on a farm in California for a year after he returned from India.In 1975, he began to make a new type of computer.He designed the Apple Computer with his friend in his garage.He chose the name “Apple” just because it could help him to remember a happy summer he once spent in an apple tree garden.His Apple Computer was such a great success that Steven Jobs soon became famous all over the world.61.Steven Jobs was not a good student in school because he ________.A. never did his lessonsB. was full of new ideasC. always made troubles with his schoolmatesD. dropped out62.Did Steven Jobs finish college?A. Yes, he did.B. No, he didn't.C. No, he didn't go into college.D. We don't know.63.Steven Jobs designed his new computer ______.A. in IndiaB. with his friendC. in a pear tree gardenD. by himself64.Steven Jobs is famous for his ________ all over the world.A. new ideasB. appleC. Apple ComputerD. video games65.From this passage we know ________.A. Steven Jobs didn't finish his studies in the college because he hatedhis schoolmatesB. Steven Jobs liked traveling in India and CaliforniaC. Steven Jobs liked trying new things and making new ideas become trueD. Steven Jobs could only design video gamesEIf you go into the forest with friends, stay with them. If you don't, you may get lost. If you get lost, this is what you should do. Sit down and stay where you are. Don't try to find your friends. Let them find you. You can help them find you by staying in one place. There is another way to help your friends or other people to find you. You can shout or whistle (吹口哨) three times. Stop. Then shout or whistle three times again. Any signal given three times is a call for help.Keep up shouting or whistling. Always three times together. When people hear you, they will know that you are not just making a noise for fun. They will let you know that they have heard your signal. They will give you two shouts or two whistles. When a signal is given twice, it is an answer to a call for help.If you don't think that you will get help before night comes, try to make a little house with branches .Make yourself a bed with leaves and grass.When you need some water, you have to leave your little branch house to look for it. Don't just walk away .Pick off small branches and drop them as you walk in order to go back again easily.66.If you get lost in the forest, you should ________.A. walk around the forest to find your friendsB. stay in one place and give signalsC. climb up a tree and wait for your friends quietlyD. shout as loudly as possible67.Which signal is a call for help?A. Shouting one time as loudly as you can.B. Crying twice.C. Shouting or whistling three times together.D. Whistling everywhere in the forest.68.When you hear two shouts or two whistles, you know that ________.A. someone finds something interestingB. people will come and help youC. someone needs helpD. something terrible will happen69.Before night comes, you should try to make a little house with ________.A. stoneB. earthC. leaves and grassD. branches70.Which of the following is the best title?A. Getting Water in the ForestB. Spending the Night in the ForestC. Surviving (生存) in the ForestD. Calling for Help in the Forest 第四节:补全对话,从方框内7个选项中选择恰当的5个句子完成此对话(共5分)John: Hi, Karl. You were not here, in your class yesterday afternoon. What was wrong?Karl: 71________John: Sorry to hear that.72Karl: Much better. The fever is gone. But I still cough and I feel weak. John: 73Karl: Yes, I have. I went to the doctor’s yesterday afternoon. The doctor gave me some medicine and asked me to stay in bed for a few days. John: 74Karl: Because I’m afraid I’ll miss more lessons and I’ll be left behind. John: Don’t worry. Take care of yourself. 75Karl: Thank you.第Ⅱ卷(非选择题,共50分)一、根据句意及所给提示,补全单词或用单词、固定短语、固定搭配的正确形式填空(10分)76. Many athletes won gold medals in the Olympics, they are our national h_____.77. Tom didn’t finish _____________( write) his test because he ran out of the time.78. The girl is making a model doll ___________ (care).79. The boy felt __________(困倦的) in class because he stayed up late last night.80. So Terrible! The airplane ______________(起飞) five minutes ago.81.I don't think students should be(允许)to bring mobile phones to school.82.I find it useless to spend much time(解释)it to him.83. She prefers keeping silent to(争吵)with others.84. It is important for us to be(有信心的)of doing everything.85. The doctor operated on the patient(成功)yesterday.二、汉译英, 一空一词(共5小题,每小题2分,计10分)86. 他默默地在雨中行走,浑身上下都被淋湿。

四川省资阳中学自主招生模拟试题化学试卷

四川省资阳中学自主招生模拟试题化学试卷

四川省资阳中学自主招生模拟试题化学试卷一、选择题1.下列图像中有关量的变化趋势与对应叙述关系正确的是()A.向一定质量表面生锈的铁片中滴加盐酸至过量 B.向一定质量的稀硫酸中滴加水C.向氢氧化钠和碳酸钠的混合溶液中滴加石灰水至过量 D.加热一定质量的氯酸钾2.下表中,有关量的变化图象与其对应叙述相符的是A.某同学误将少量KMnO4当成MnO2加入KClO3中进行加热制取氧气,部分物质质量随时间变化如图所示,则t1时刻,KMnO4开始分解B.在一定量硝酸银和硝酸铜的混合溶液中加入铁粉,充分反应,硝酸根质量分数随加入铁粉质量变化如图所示C.密闭容器中发生化学反应,X、Y、Z的质量随着反应时间的变化如图所示,则该反应的化学方程式一定为3X+Y=4ZD.稀硫酸和氢氧化钠溶液反应的pH的变化图象如图所示,图中c点时,可以加BaCl2溶液来检验硫酸是否被反应完3.往AgNO3和Cu(NO3)2的混合溶液中加入一定量的铁粉,充分反应后,有金属析出,过滤、洗涤后往滤渣中加入稀盐酸,有无色气体放出,则滤液中一定存在的物质是A.Fe(NO3)2B.Fe(NO3)3C.Cu(NO3)2、Fe(NO3)2D.AgNO3、Cu(NO3)2、Fe(NO3)24.现有一包由5.6g铁、7.2g镁、1.0g碳混合而成的粉末,把它加入一定量的CuCl2溶液中。

实验结束后,测得剩余固体中含有三种物质。

则剩余固体的质量不可能是A.26. 2gB.26.6gC.26. 0gD.25. 8g5.向盛有一定质量MgO和MgCO3混合物的烧杯中加入142 g稀盐酸,恰好完全反应,一定温度下,得到150 g不饱和溶液。

下列数据中,与该溶液的溶质质量分数最接近的是A.5.3%B.5.6%C.12.7%D.13.4%6.某气体可能含有H2、CO2、CO、HCl中的一种或几种,把该气体依次通过澄清石灰水、饱和碳酸氢钠溶液、浓硫酸、灼热的氧化铜、无水硫酸铜、澄清石灰水,观察到的现象是:前面的一瓶澄清石灰水无明显变化,灼热的氧化铜变红色,无水硫酸铜变蓝(无水硫酸铜遇水变蓝),后面的一瓶澄清石灰水变浑浊,下列关于该气体说法不正确的是()A.一定含有H2 B.一定含有COC.可能含有HCl D.可能含有CO27.甲烷和水反应可以制备水煤气(混合气体),其反应的微观示意图如图所示,根据微观示意图得出的结论中,正确的是()A.反应前后碳元素化合价没有发生变化B.反应中甲和丙的质量之比为4:7C.水煤气的成分是一氧化碳和氧气D.反应中含氢元素的化合物有三种8.童童同学将一定量的氧化铜粉末加入到100g溶质的质量分数为14%的稀硫酸中,充分反应后固体全部消失,为了避免该废液排放造成污染,他又向废液中加入20g铁粉,充分反应后过滤,滤渣的质量为20g,加稀硫酸时所消耗的氧化铜质量是()A.8g B.10g C.12g D.14g9.有Mg、Al、Zn的混合物共7.2g,与足量盐酸反应,生成H2的质量可能是( )A.0.2 g B.0.6g C.0.8g D.0.9g10.下列四位同学分别设计实验方案,你认为可行的是()A.分离碳酸钙和氯化钠的混合物,先加入足量的水,然后充分溶解、过滤、洗涤、烘干B.某无色溶液中滴加稀硝酸无明显现象,再加BaCl2溶液,产生白色沉淀,证明无色溶液中一定含有SO42-离子C.将CO、CO2、N2的混合气体,依次通过浓NaOH溶液,浓硫酸,灼热CuO后(假设每次反应均完全),最后得到N2D.不用其它试剂就能鉴别NaOH、H2SO4、Mg(NO3)2、FeCl3、NaNO311.下列有关量的变化图象与其对应叙述相符的是()A.①常温下,向一定量的饱和石灰水中加入氧化钙B.②一定温度下,向不饱和硝酸钾溶液中加入硝酸钾C.③向一定质量的过氧化氢的水溶液中加入二氧化锰D.④向等质量的铁和镁中分别加入足量的稀盐酸12.图中“→”表示甲在一定条件下可以转化成乙,“—”表示相连的物质在一定条件下可以发生反应,甲、乙、丙、丁分别表示一氧化碳、碳、氧气、二氧化碳中的某一物质,下列说法正确的是A.甲一定是一氧化碳B.乙一定不是二氧化碳C.丙可能是碳或氧气D.丁可能是碳或二氧化碳13.逻辑推理是一种重要的化学思维方法。

四川省资阳市全国重点高中初升高自主招生物理模拟试题(含答案)

四川省资阳市全国重点高中初升高自主招生物理模拟试题(含答案)

四川省资阳市全国重点高中初升高自主招生物理模拟试题(含答案)一、选择题1.下列现象是由于光沿直线传播形成的是()A.水中的倒影B.海市蜃楼C.路灯下人的影子D.人视网膜上成的像2.(2017•杭州卷)如图所示装置,在水平拉力F的作用下,物体M沿水平地面做匀速直线运动,已知弹簧秤读数为10牛,物体M的运动速度为1米/秒(若不计滑轮与绳子质量、绳子与滑轮间的摩擦、滑轮与轴间摩擦),那么在此过程中()A.物体M与地面间的摩擦力为5牛B.物体M与地面间的摩擦力为10牛C.水平拉力F做功的功率为20瓦D.1秒内滑轮对物体M做功为10焦3.汽车装有安全带未系提示系统,当乘客坐在副驾驶座椅上时,座椅下的开关S1闭合,若未系安全带,则开关S2断开,仪表盘上的指示灯亮起,蜂鸣器工作;若系上安全带,则开关S2闭合,指示灯熄灭,蜂鸣器不工作.图设计的电路图正确的是A.B.C.D.4.下列说法中,正确的是A.内能较大的物体所含有的热量较多B.温度高的物体具有的内能一定比温度低的物体多C.热量总是由内能大的物体传递给内能小的物体D.物体的内能增大时,可能是从外界吸收了热量,也可能是外界对物体做了功5.如图所示,某一型号的锁设置了三种打开方式:密码(S1)、特定指纹(S2)或应急钥匙(S3),三者都可以单独使电动机M工作而打开门锁,下列电路设计符合要求的是A.B.C.D.6.如图所示,是用3D打印技术将固态树脂打印成的工艺品。

3D打印机的喷头在高能激光的作用下,可使固态树脂吸收热量变成液态,在喷头按照3D图纸轨迹运动的过程中,同时将液态材料挤出,液态材料放热后迅速变成固态,并与周围的材料粘结,就这样层层叠加组成了立体实物的工艺品。

在上述过程中,先后发生的物态变化是()A.升华和凝华B.汽化和液化C.液化和凝固D.熔化和凝固7.如下图所示,甲、乙两个弹簧测力计在同一水平面上并相互钩在一起,用水平拉力F1和F2分别拉开,F1=F2=3N,两弹簧测力计静止时,下列分析正确的是()A.甲对乙的拉力和乙对甲的拉力是一对平衡力B.甲和乙受到的合力均为零,示数均为零C.乙受力平衡,甲对乙的拉力是3N,乙的示数是6ND.甲受力平衡,乙对甲的拉力是3N,甲的示数是3N8.图甲是小灯泡L和电阻R的电流随电压变化图象,将它们按图乙所示接入电路中.已知该电路中电源电压是2V,则下列结论错误的是()A.只闭合开关S,电路消耗的功率是1WB.当再闭合S1后,电流表示数变化了0.2AC.当再闭合S1后,电路消耗的总功率为1.2WD.当再闭合S1后,电路消耗的功率将增大0.4W9.在水平桌面上有甲、乙两个完全相同的杯子盛满不同浓度的盐水,将两个完全相同的小球分别放入其中,当小球静止时,两个杯子中小球所处的位置如图所示,则()A.甲杯中溢出的盐水质量较小B.乙杯底部所受的液体压强较大C.甲杯底部所受的液体压力较大D.小球在乙杯中受到的浮力较大10.有6位同学用一把刻度尺测量同一本《科学》课本的长度,测得数据分别为26.02厘米,26.09厘米、26.10厘米、26.00厘米和26.08厘米、31.38厘米。

(完整word)四川省资阳中学2017年7月自主招生数学试题

(完整word)四川省资阳中学2017年7月自主招生数学试题

资阳中学高2017级学生核心素养评价(数学)本试题卷分第Ⅰ卷(单项选择题)和第Ⅱ卷(非单项选择题)。

考生作答时,须将答案写在答题卡上,在本试题卷、草稿纸上答题无效.全卷满分120分,考试时间110分钟。

考试结束后,将本试题卷和答题卡一并交回.Ⅰ卷选择题部分一、选择题:(每小题只有一个正确答案,共10小题,每小题4分,共40分)1.某同学做了四道题:①3m+4n=7mn;②(—2a2)3=—8a6;③6x6÷2x2=3x3;④y3•xy2=xy5,其中正确的题号是()A.②④B。

①③ C.①② D.③④2。

小明在解决一个关于计算机病毒传播的问题时,设计算机有x台,列方程3+x+x(x+3)=48,则方程的解中一定不合题意的是()A.5B.9C.—5D.-93.为促进朗诵艺术的普及,某校初二年级举办朗诵大赛,凡凡同学根据比赛中九位评委所给的某位参赛选手的分数,制作了一个表格,如果去掉一个最高分和一个最低分,则表中数据一定不发生变化的是( )中位数众数平均数方差9。

29.39.10.3A。

中位数 B.众数 C.平均数D。

方差4。

我们知道,一元二次方程x2=-1没有实数根,即不存在一个实数的平方等于-1,若我们规定一个新数“i”,使其满足i2=—1(即方程x2=—1有一个根为i),并且进一步规定:一切实数可以与新数进行四则运算,且原有的运算律和运算法则仍然成立,于是有i1=i,i2=-1,i3=i2•i=(-1)•i=—i,i4=(i2)2=(-1)2=1,从而对任意正整数n,则6i =()A.-1B.1 C。

i D。

—i5.已知⊙O的两条直径AC,BD互相垂直,分别以AB,BC,CD,DA为直径向外作半圆得到如图所示的图形,现随机地向该图形内掷一枚小针,记针尖落在阴影区域内的概率为P1,针尖落在⊙O内的概率为P2,则=( )A.4ππ-B.1πC.2πD.4π6.如图,在平面直角坐标系中,⊙P的圆心坐标是(3,a)(a>3),半径为3,函数y=x的图象被⊙P截得的弦AB的长为42,则a的值是()A。

四川省资阳中学2017年5月自主招生数学试题

四川省资阳中学2017年5月自主招生数学试题

数学试题(2017)本试题卷分第Ⅰ卷(单项选择题)和第Ⅱ卷(非单项选择题),共4页。

考生作答时,须将答案写在答题卡上,在本试题卷、草稿纸上答题无效。

全卷满分120分,考试时间110分钟。

考试结束后,将本试题卷和答题卡一并交回。

Ⅰ卷选择题部分一、选择题:(每小题只有一个正确答案,共10小题,每小题4分,共40分)1.下列计算正确的是(▲)A.B.(a2)3=a5C.2a﹣a=2 D.a•a3=a42.2016年某市全年财政收入为373.9亿元,其中373.9亿元用科学记数法表示为(▲)A.373.9×108元B.37.39×109元C.3.739×1010元D.0.3739×10113.如右图是由五个相同的小立方块搭成的几何体,则它的俯视图是(▲)A B C D4.如图,直线1l∥2l,以直线1l上的点A为圆心、适当长为半径画弧,分别交直线12,l l于点B、C,连接AC、BC,若∠ABC=67°,则∠1=(▲)A.23°B.46°C.67°D.78°5.对于实数x,我们规定[x]表示不大于x的最大整数,如[4]=4,[3]=1,[-2.5]=-3.现对82进行如下操作:82第一次[8282]=9第二次[99]=3第三次[33]=1,这样对82只需进行3次操作后变为1,类似地,对121只需进行(▲)次操作后变为1。

A.1 B.2 C.3 D.46.一个十字路口的交通信号灯每分钟红灯亮30秒,绿灯亮25秒,黄灯亮5秒,当你抬头看信号灯时是绿灯的概率是(▲)A.12B.13C.14D.5122顶点为(1,2),则结论:①abc>0;②x=1时,函数最大值是2;③4a+2b+c>0;④2a+b=0;⑤2c=3b.其中正确的结论有(▲)A.1个B.2个C.3个D.4个8.如图,在四边形ABCD中,AB∥CD,∠A=90°,AB=5,CD=2.以A为圆心,AD为半径的圆与BC边相切于点M,与AB交于点E,将扇形A﹣DME剪下围成一个圆锥,则圆锥的高为(▲)A.1 B.4 C.15D.179.当m,n是实数且满足m﹣n=mn时,就称点Q(m,)为“奇异点”,已知点A、点B是“奇异点”且都在反比例函数y=的图象上,点O是平面直角坐标系原点,则△OAB的面积为(▲)A.1 B.C.2 D.10.如图,直线122y x=+与y轴交于点A,与直线12y x=-交于点B,以AB为边向右作菱形ABCD,点C恰与原点O重合,抛物线y=(x-h)2+k的顶点在直线12y x=-上移动.若抛物线与菱形的边AB、BC都有公共点,则h的取值范围是(▲)A.-2≤h≤12B.-2≤h≤1 C.-1≤h≤32D.-1≤h≤12Ⅱ卷非选择题部分二、填空题:(本题5小题,每小题4分,共20分)11.分解因式:3220x x x--=___▲___。

四川省资阳市全国重点高中初升高自主招生物理模拟试题(含答案)

四川省资阳市全国重点高中初升高自主招生物理模拟试题(含答案)

四川省资阳市全国重点高中初升高自主招生物理模拟试题(含答案)一、选择题1.如图所示,电源两端电压保持不变,闭合开关S1和S2,电流表和电压表都有示数;当只断开开关S2时,下列判断正确的是()A.电流表示数变小,电压表示数变大B.电流表示数变小,电压表示数变小C.电流表示数变大,电压表示数变小D.电流表示数变大,电压表示数变大2.水平台面上有两个同规格烧杯,分别盛有甲、乙两种液体将两个完全相同的物体A、B分别放入两杯中静止时如图所示,甲、乙液面刚好相平此时,设A物体受到的浮力为F浮A甲液体对烧杯底部的压强为p甲;B物体受到的浮力为F浮B,乙液体对烧杯底部的压强为p乙,则A.F浮A=F浮B, p甲>p乙B.F浮A=F浮B, p甲<p乙C.F浮A <F浮B, p甲>p乙D.F浮A<F浮B, p甲<p乙3.如图所示的现象,物态变化类型相同的一组是()① 露珠的形成②壶嘴里冒出的“白气”③正在消融的冰④寒冬,冰冻衣服晾干A.①②B.①③C.②③D.②④4.如图所示,演员与观众高声齐唱《我和我的祖国》,合唱中“高音声部”和“低音声部”中的“高”和“低”,指的是声音的()A.速度B.响度C.音调D.音色5.如图所示,叠放在一起的物体A和B,在大小为F的恒力作用下沿水平面做匀速直线运动,则下列结论中正确的是A.甲、乙两图中A物体所受的摩擦力大小均为FB.甲、乙两图中B物体受到地面对它的摩擦力均为FC.甲图中物体A受到的摩擦力为0,物体B受到地面对它的摩擦力为FD.乙图中物体A受到的摩擦力为F,物体B受到地面对它的摩擦力为F6.下列措施中属于在传播途中控制噪声的是A.在摩托车发动机上安装消声器B.在高速公路两侧安装隔音幕墙C.在学校附近安装喇叭禁鸣标志D.机场的地勤佩戴有耳罩的头盔7.图甲是模拟调光灯。

电源电压为4V,小灯泡额定电压为2.5V,电流随电压变化的I-U 图像如图乙所示,小灯泡两端电压达到0.4V时“刚亮”,铅笔芯长15cm、阻值为30Ω,其阻值与长度成正比。

高中自主招生试题及答案

高中自主招生试题及答案

高中自主招生试题及答案一、选择题(每题2分,共20分)1. 下列关于光合作用的说法,正确的是:A. 光合作用只能在有光条件下进行B. 光合作用的产物是氧气和水C. 光合作用需要叶绿体的参与D. 光合作用是植物细胞特有的过程答案:C2. 以下哪项是牛顿第一定律的内容?A. 物体在没有外力作用时,会保持静止或匀速直线运动B. 物体的加速度与作用力成正比,与质量成反比C. 物体的加速度与作用力成正比,与质量成正比D. 物体的加速度与作用力成反比,与质量成正比答案:A3. 以下哪个选项不是化学元素的分类?A. 金属元素B. 非金属元素C. 稀有气体元素D. 放射性元素答案:D4. 以下哪个选项是细胞分裂过程中不会出现的?A. 染色体复制B. 细胞核分裂C. 细胞质分裂D. 细胞壁形成答案:D5. 以下关于生态系统的描述,错误的是:A. 生态系统由生物部分和非生物部分组成B. 生态系统中的能量是可循环的C. 生态系统中的物质是可循环的D. 生态系统中的生物之间存在相互依赖的关系答案:B二、填空题(每题2分,共20分)1. 光合作用是植物通过_______,利用_______,将_______和_______转化为_______和_______的过程。

答案:叶绿体;光能;二氧化碳;水;有机物;氧气2. 牛顿第二定律的数学表达式是:_______ = __________。

答案:F;ma3. 化学元素周期表中,第IA族元素的名称是_______。

答案:碱金属4. 细胞分裂过程中,染色体的数量在_______期加倍,在_______期减半。

答案:有丝分裂间期;有丝分裂后期5. 在生态系统中,能量的流动是_______的,物质的循环是_______的。

答案:单向;循环三、简答题(每题10分,共30分)1. 简述光合作用的意义。

答案:光合作用是植物将光能转化为化学能的过程,它不仅为植物自身提供能量和有机物质,而且为整个生态系统提供能量和氧气,是地球上生命活动的基础。

2024四川单招试题普高

2024四川单招试题普高

选择题下列哪项是四川省普通高中的主要教育目标?A. 培养专业技能人才B. 提供职业教育培训C. 为学生提供全面的学术教育,并准备高考(正确答案)D. 专注于艺术或体育特长生的培养四川省普通高中课程设置中,哪门课程是必修的?A. 心理学B. 编程技术C. 语文(正确答案)D. 摄影艺术下列哪项不是四川省普通高中学生综合素质评价的内容?A. 学业水平(正确答案,实际上是评价内容之一,但此题要求选非,故设为“不是”以符合题目要求,实际情况下应评价学业水平)B. 身心健康C. 艺术素养D. 社会实践四川省普通高中学生通常在哪个年级开始准备高考?A. 高一B. 高二(正确答案,多数学生会在高二开始更加专注于高考准备)C. 高三(虽然高三也是准备高考的重要阶段,但通常高二就开始有系统准备)D. 初中毕业后下列哪项是四川省普通高中常见的课外活动?A. 专业技能实训B. 社团活动(正确答案)C. 实习工作D. 研究生课程学习在四川省普通高中,学生的学业成绩通常采用哪种评价方式?A. 仅平时成绩B. 平时成绩与期末考试成绩相结合(正确答案)C. 仅期末考试成绩D. 无需评价,以综合素质为主下列哪项不是四川省普通高中毕业生可能面临的升学选择?A. 国内大学(正确答案,实际上是升学选择之一,但此题要求选非)B. 高职院校C. 出国留学D. 直接就业四川省普通高中在促进学生全面发展方面,通常注重哪方面的培养?A. 专业技能培训B. 学术研究与创新能力(正确答案)C. 特定职业准备D. 单一学科深造下列哪项是四川省普通高中教育阶段的重要目标之一?A. 培养学生成为特定行业的专家B. 为学生提供多样化的课程选择(正确答案)C. 专注于职业技能培训D. 仅限于学术精英的培养。

2013年资阳中学自主招生考试数学试题及答案

2013年资阳中学自主招生考试数学试题及答案

数学试题2013一、选择题:(本题有10小题,每小题4分,共40分)1、已知实数a 满足|2008-a |+2009 a =a ,那么a-20082值是( )A 、2009B 、2008C 、2007D 、2006 2、设a,b,c 的平均数是m,a 、b 的平均数为n,又n 、c 的平均数为p,若a>b>c,则m 和p 的大小关系是( ) A 、 m=p B 、 m>p C 、 m<p D 、不确定3、在正方体的表面上画有如图1中所示的粗线,图2是其展开图的示意图,但只在A 面上画有粗线,那么将图1中剩余两个面中的粗线画入图2中,画法正确的是(如果没把握,还可以动手试一试噢)( )4、直线y=-21x-1与反比例函数y=xk,(x<0)的图象交于点A ,与x 轴相交于点B ,过点B 作x 轴垂线交双曲线于点C ,若AB=AC ,则k 的值为( )A 、-2B 、-4C 、-6D 、-85、已知一列数:1,-2,3,-4,5,-6,7,……将这列数排成下列形式: 第1行 1第2行 -2 3第3行 -4 5 -6第4行 7 -8 9 -10 第5行 11 -12 13 -14 15按照上述规律排下去,那么2013排在第多少行从左边数的第几个数( )A 、46行第33个B 、62行第59个C 、64行第24个D 、63行第60个6、如图在平行四边形ABCD 中,过A,B,C 三点的圆交AD 于E ,且与CD 相切,若AB=4,BE=5,则DE 的长为( )A 、3 B 、4 C 、415D 、5167、如图所示,二次函数y=ax 2+bx+c 的图象与x 轴负半轴相交于A ,B 两点,Q (n,21)是二次函数y=ax 2+bx+c 图象上一点,且AQ ⊥BQ ,则a 的值为( ) A 、-31B 、-21 C 、-1 D 、-28、如图,⊙O 是△ABC 的外接圆,AD ⊥BC 于D ,CE ⊥AB 于E ,AD 交CE 于H 点,交⊙O 于N ,OM ⊥BC 于M,BF为⊙O 的直径,下列结论:①DN=DH ;②四边形AHCF 为平行四边形;③BF=2FC ;④AH=2OM ;其中正确的有( )A 、①②③B 、②③④C 、①③④D 、①②④9、将一块上底长1,下底长2,直角腰长为3的直角梯形木板从一个圆钢圈中穿过,那么这个圆钢圈的最小直径是( ) A 、1 B 、2C 、5310D 、2 10、某旅游团一行56人从旅馆乘出租车出行,现有A 、B 两个出租车队,A 队比B 队少3辆车,若全部安排乘A 队的车,每辆坐5人,车不够;每辆坐6人,有的车辆未满; 若全部安排B 队的车,每辆车坐4人,车不够,每辆坐5人,有的车未满,则A 队有出租车( )辆 A 、11 B 、10 C 、9 D 、8二、真空题(每小题4分,共32分)11、如图,正方形OEFG 和ABCD 中,点A 和点F 的坐标分别为(3,2)、(-1,-1)则两个正方形的位似中心的坐标是。

四川省资阳中学2016年5月自主招生数学试题

四川省资阳中学2016年5月自主招生数学试题

数学试题(2016)本试题卷分第Ⅰ卷(单项选择题)和第Ⅱ卷(非单项选择题),共4页。

考生作答时,须将答案写在答题卡上,在本试题卷、草稿纸上答题无效。

全卷满分120分,考试时间100分钟。

考试结束后,将本试题卷和答题卡一并交回。

Ⅰ卷 选择题部分一、选择题:(每小题只有一个正确答案,共10小题,每小题4分,共40分)1. 已知关于x 的一元二次方程x 2﹣2x ﹣3=0两实数根为x 1、x 2,则x 1+x 2的值是(▲)A .3B .2C .﹣3D .﹣2 2. 下列因式分解正确的是( ▲ )A.22()()m n m n m n +=+-B. 2221(1)x x x +-=-C. 221(2)1a a a a ++=++D. 2(1)a a a a -=- 3. 为了解某社区居民的用电情况,随机对该社区10户居民进行调查,下表是这10户居民2015年4月份用电量的调查结果:那么关于这10户居民月用电量(单位:度),下列说法错误的是( ▲ )A .中位数是50B .众数是51C .方差是42D .极差是21 4. 一个长方体的三视图如图所示,若其俯视图为正方形,则长方体的高和底面边长分别为(▲ ) A. 5, B.2, C.3,5 D.5,3 5. 如图,已知AB 、CD 、EF 都与BD 垂直,垂足分别是B 、D 、F ,且AB=1,CD=3,那么EF 的长是( ▲ )A .13B .23C .34D .456. 有五张下面分别标有数字-2,0,12,1,3的不透明卡片,它们除数字不同外其余全部相同,现将它们背面向上,洗匀后从中任意取出一张,将该卡片上的数字记为a ,则使关于x 的分式方程11222ax x x -+=--有整数解的概率是( ▲ ) A .15 B .25 C .35 D .457. 一次函数3()y x a a =-+-为常数与反比例函数4y x=-的图像交于A ,B 两点,当A ,B 两点关于原点对称时a 的值是( ▲ ) A .0 B.-3 C.3 D.48. 如图,AB 、CD 是⊙O 的两条平行弦,BE ∥AC 交CD于E ,过A点的切线交DC 延长线于P ,若AC=则PC CE 的值是( ▲ )A .18 B.5C.D.9. 已知双曲线(0)k y k x =>与直线1(0)y x k k=>交于A ,B 两点(点A 在B 的左侧),如图,点P 是第一象限内双曲线上一动点,BC ⊥AP 于C ,交x 轴于F ,PA 交y 轴于E ,若222AE BF m EF +=,则m =( ▲ )A.1B.32C.2D.310. 二次函数2(0)y ax bx c a =++>的顶点为P ,其图象与x 轴有两个交点A(,0m -),B(1,0),交y 轴于点C(0,36am a -+),以下说法:①3m =; ②当∠APB=120°时,a =; ③当∠APB=120°时,抛物线上存在点M(M 与P 不重合),使得△ABM 是顶角为120°的等腰三角形;④抛物线上存在点N ,当△ABN 为直角三角形时,有12a ≥;其中正确的是( ▲ ) A.①② B. ③④C.①②③D.①②③④Ⅱ卷 非选择题部分二、填空题:(本题5小题,每小题4分,共20分) 11. 小明设计了一个魔术盒,当任意实数对(a ,b )进入其中,会得到一个新的实数a 2﹣2b +3,若将实数对(x ,﹣2x )放入其中,得到一个新数为8,则x= ▲ . 12.如图,抛物线223y x x =--交x 轴于A(-1,0)、B(3,0),交y 轴于C(0,-3),M 是抛物线的顶点,现将抛物线沿平行于y 轴的方向向上平移三个单位,则曲线CMB 在平移过程中扫过的面积为_____▲_____(面积单位)13. 设实数,,a b c 111||a b c=++,则函数2y ax bx c =++的图象一定经过一个定点,那么这个定点的坐标是_____▲__14. 如图,在等边△ABC 内有一点D ,AD=5,BD=6,CD=4,将△ABD 绕A 点逆时针旋转,使AB 与AC 重合,点D 旋转至点E ,则∠CDE 的正弦值为 ▲15. 已知二次函数y=x 2﹣2(k+1)x+k 2﹣2k ﹣3与x 轴有两个交点,当k取最小整数时的二次函数的图象在x 轴下方的部分沿x 轴翻折到x 轴上方,图象的其余部分不变,得到一个新图象,则新图象与直线y =x +m有四个不同公共点时m的取值范围是▲ 三、解答题:(本题共7小题,共60分)16.先化简,再求值:22226951(2)22x xy y yx yx xy x y x++÷--+++,其中x、y满足方程22223(60)(sin43sin47)02x y︒+︒+︒-=.(7分)17.为了提高学生书写汉字的能力,增强保护汉字的意识,我市举办了首届“汉字听写大赛”,经选拔后有50名学生参加决赛,这50名学生同时听写50个汉字,若每正确听写出一个汉字得1分,根据测试成绩绘制出部分频数分布表和部分频数分布直方图如下:请结合图表完成下列各题:(1)求表中a的值;并把频数分布直方图补充完整;(4分)(2)第5组10名同学中,有4名男同学,现将这10名同学平均分成两组进行对抗练习,且4名男同学每组分两人,求小宇与小强两名男同学能分在同一组的概率.(4分)18.南沙群岛自古以来都是中国领土,如图,点A、B、C分别表示南沙群岛的三个小岛,岛C在岛A的北偏东45°方向,岛B在岛C的南偏西15°方向上,岛B在岛A的南偏东30°方向,且岛A、岛B两岛的距离为3海里.(1)求岛A、岛C间的距离;(4分)(2)我国南海某雷达观测站发现一艘不明国籍舰艇正从岛C正东10海里的点P处以20海里/小时的速度接近岛A,其航线为P→C→A(直线行进),而我某海警船正位于岛A西偏南60°方向12海里的点Q处,收到上级命令迅速前往A岛,其航线为先向正东航行8海里至点M处,再折向点A直线航行,航速为30海里/小时,问海警船能否先于不明国籍舰艇到达岛A?请说明理由.(4分)19.现有一传统酿醋作坊计划生产A,B两种品质的醋共10缸,需购买甲、乙两种粮食,已知以下信息:解答下列问题:(1)现作坊计划用于甲、乙两种粮食资金不超过7500元,问符合条件的生产方案有哪几种?(4分)(2)在(1)的条件下,若生产一缸A品质的醋需加工费200元,生产B品质的醋需加工费300元,应选择哪种生产方案,使生产这10缸醋的成本最低,最低成本为多少?(成本=材料费+加工费)(4分)20. 如图,在矩形ABCD中,点P在边CD上,且与C、D不重合,过点A作AP的垂线与CB的延长线相交于点Q,连接PQ,M为PQ中点.(1)求证:△ADP∽△ABQ;(4分)(2)若AD=10,AB=a,DP=8,随着a的大小的变化,点M的位置也在变化,当点M落在矩形ABCD内部时,求a的取值范围.(4分)21.如图,⊙O是△ABC的外接圆,AB为直径,过点O作OM∥BC,交AC于点M.(1)求∠ AMO;(3分)(2)延长OM交⊙O于点E,过E作⊙O的切线,交BC延长线于点F,连接FM,并延长FM交AB于点G.①试判断四边形CFEM的形状,并说明理由;(4分)②若AG=2,CM=3,求四边形CFEM的面积.(3分)22.如图1,在平面直角坐标系xOy中,直线l:34y x m=+与x轴、y轴分别交于点A和点B(0,﹣1),抛物线212y x bx c=++经过点B,且与直线l的另一个交点为C(4,n).(1)求n的值和抛物线的解析式;(4分)(2)点D在抛物线上,且点D的横坐标为t(0<t<4).DE∥y轴交直线l于点E,点F在直线l上,且四边形DFEG为矩形(如图2).若矩形DFEG的周长为p,求p与t的函数关系式以及p的最大值;(4分)(3)M是平面内一点,将△AOB绕点M沿逆时针方向旋转90°后,得到△A1O1B1,点A、O、B的对应点分别是点A1、O1、B1.若△A1O1B1的两个顶点恰好落在抛物线上,请直接写出点A1的横坐标.(3分)数学试题(2016)答题卷二、填空题:(本题5小题,每小题4分,共20分)11. 12. 13.14. 15.三、解答题:(本题共7小题,共60分)16.17. 18.19.///////////////////////////////////////////////////////// 密 封 线 内 不 要 答 题 ////////////////////////////////////////////////////////////// /////// 20. 21.22.。

四川省资阳市全国重点高中初升高自主招生化学模拟试题(含答案)

四川省资阳市全国重点高中初升高自主招生化学模拟试题(含答案)

四川省资阳市全国重点高中初升高自主招生化学模拟试题(含答案)一、选择题1.关系图中“—”两端的物质能发生化学反应,“→”表示物质的转化方向。

下列说法错误的是( )A.反应①放出热量B.不能将图中稀盐酸换为稀H2SO4C.反应②所得溶液可呈中性D.反应③可得NaOH2.将等质量的镁和铁分别放入等质量、相同质量分数的稀盐酸中,产生氢气的质量与反应时间的关系如图所示,下列说法错误的是()A.反应结束后镁一定有剩余B.反应消耗盐酸的总质量一定相等C.O—t1时段,产生氢气的质量镁比铁大D.O—t2时段,参加反应的镁的质量与铁相等3.某实验小组将Ba(OH)2溶液逐滴滴入硫酸溶液中,溶质的质量与加入的Ba(OH)2溶液的质量关系如图所示。

下列说法错误的是()A.a点溶液为酸性B.b点恰好完全反应C.c点溶液的溶质为硫酸D.b、c两点沉淀质量相等4.如图是A~H六种物质的相互转化关系,每个反应涉及的所有物质都已给出。

下列说法错误的是()①若A是金属氧化物,则C可能是盐②若A是酸,则C不可能是盐③若H是化合物,则A可能是碱④若H是化合物,则B不可能是碱A.①③B.①④C.②③D.②④5.下列有关物质的鉴别、检验、除杂所用的试剂或方法正确的是()A.A B.B C.C D.D6.下列图象关系合理的是( )A.A B.B C.C D.D7.下列图像能正确反映其对应操作中各量变化关系的是A.图①是给氯酸钾和二氧化锰的混合物加热B.图②是向一定温度下的饱和氢氧化钙溶液中不断加入氧化钙固体C.图③是向pH=1的酸溶液中不断加水D.图④是向一定质量的稀硫酸中加入锌粒8.如图是初中化学常见物质间的转化关系。

F、G是组成元素相同的两种气体,Q、R都是黑色固体,E是生活中常用的调味剂、防腐剂(部分反应条件和产物略去)。

以下说法错误的是A.反应④为吸热反应B.D在一定条件下可以转化成AC.图中涉及的物质类别有单质、氧化物、酸、碱、盐D.图中反应的基本类型有分解反应、化合反应、复分解反应9.在含有H2SO4和CuSO4的混合溶液中,逐滴加入NaOH溶液至过量,下列图象能正确反映生成沉淀的质量(m1)与加入NaOH溶液的质量(m2)的关系是()A.B.C.D.10.中考复习阶段,小胖梳理了以下知识:①均一、稳定的液体一定是溶液;②向某固体上滴加稀盐酸,有气泡产生,则该固体不一定是碳酸盐;③有盐和水生成的反应一定是中和反应;④配制6%的氯化钠溶液,量取水时,仰视量筒刻度使所配氯化钠溶液的质量分数偏低;⑤粗盐提纯时需把蒸发皿中的水蒸干才能停止加热;⑥盐能解离出酸根离子,能解离出酸根离子的化合物一定是盐;其中正确的个数是()A.5 B.4 C.3 D.211.常温下,在两只各盛有100mL水的烧杯中,分别加入相同质量的甲、乙两种物质,使其充分溶解,结果如图所示。

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数学试题(2016)本试题卷分第Ⅰ卷(单项选择题)和第Ⅱ卷(非单项选择题),共4页。

考生作答时,须将答案写在答题卡上,在本试题卷、草稿纸上答题无效。

全卷满分120分,考试时间100分钟。

考试结束后,将本试题卷和答题卡一并交回。

Ⅰ卷 选择题部分一、选择题:(每小题只有一个正确答案,共10小题,每小题4分,共40分) 1.某种细胞的直径是0.00000095米,将0.00000095用科学计数法表示为( A )A.9.5×10-7B. 9.5×10-8C.0.95×10-7D. 95×10-82、一组数据2,x ,4,3,3的平均数是3,则这组数据的中位数、众数、方差分别是(A) A .3,3,0.4 B .2,3,2 C .3,2,0.4 D .3,3,2 3.若长为5,12,-a a 的线段能构成一个三角形,则a 的取值范围是( B )A. 61<<aB.62<<aC.52≤<aD.62<≤a 4. 为了节约水资源,某市准备按照居民家庭年用水量实行阶梯水价,水价分档递增。

计划使第一档、第二档和第三档的水价分别覆盖全市居民家庭的80%,15%和5%。

为合理确定各档之间的界限,随机抽查了该市5万户居民家庭上一年的年用水量(单位:3m 错误!未找到引用源。

),绘制了统计图,如图所示,下面有四个推断:其中正确的是( B ) ① 年用水量不超过180错误!未找到引用源。

的该市居民家庭按第一档水价交费② 年用水量超过240错误!未找到引用源。

的该市居民家庭按第三档水价交费③ 该市居民家庭年用水量的中位数在150-180之间 ④ 该市居民家庭年用水量的平均数不超过180A 、①③B 、 ①④C 、②③D 、②④ 5.如图,I 是∆ABC 的内心,AI 的延长线和△ABC 的外接圆相交于点D ,连接BI ,BD ,DC 下列说法中错误的一项是(D)A .线段DB 绕点D 顺时针旋转一定能与线段DC 重合 B .线段DB 绕点D 顺时针旋转一定能与线段DI 重合C .∠CAD 绕点A 顺时针旋转一定能与∠DAB 重合D .线段ID 绕点I 顺时针旋转一定能与线段IB 重合 6.如图,已知菱形OABC 的顶点是O (0,0),B (2,2),若菱形绕点O 逆时针旋转,每秒旋转450,则第60秒时,菱形的对角线交点D 的坐标为( B )A.(1,-1)B.(-1,-1)C.(2,0)D.(0,-2)7、如图:A 、B 、C 是反比例函数(0)ky k x=<图像上三点,作直线l ,使点A 、B 、C 到直线l 的距离之比为3:1:1,则满足条件的直线l 共有( D )A 、1条B 、2条C 、3条D 、4条8、如图,矩形ABCD 中,AB =3,BC =5,点P 是BC 边上的一个动点(点P 不与点B 、C 重合),现将△PCD 沿直线PD 折叠,使点C 落在点C ’处,作∠BPC ’的角平分线交AB 于点E ,设BP =x ,BE =y ,则下列图象中,能表示y 与x 的函数关系的图象大致是 ( D )9. 已知抛物线y=﹣x 2+1的顶点为P ,点A 是第一象限内该二次函数图象上一点,过点A 作x 轴的平行线交二次函数图象于点B ,分别过点B 、A 作x 轴的垂线,垂足分别为C 、D ,连结PA 、PD ,PD 交AB 于点E ,△PAD 与△PEA ( A )A .始终相似B .始终不相似C .只有AB=AD 时相似 D .无法确定10、在一次球类比赛中有八个队参赛,每两个队要进行一场比赛,胜一场得2分,平一场得1分,负一场得0分,若一个队要进入前四名(即积分至少要超过其他四个队),则该队的积分最少是( C )分 A 、9分B 、10分C 、11分D 、12分Ⅱ卷 非选择题部分二、填空题:(本题5小题,每小题4分,共20分) 11、因式分解:a 4+7a 2-8= .(a+1)( a-1)(a 2+8)12. 对于X ,Y 定义一种新运算“*”:X*Y=aX+bY ,其中a ,b 为常数,等式右边是通常的加法和乘法的运算.若12842ba a a ---+=成立,那么2*3= 1 .13、如图,摩天轮⊙P 的最高处A 到地面l 的距离是62米,最低处B 到地面l 的距离是2米.若游客从B 处乘摩天轮绕一周需15分钟,则游客从B 处乘摩天轮到地面l 的距离是47米时至少需 5 分钟.14.如图,P 是等边三角形ABC 内一点,将线段AP 绕点A 顺时针旋转60°得到线段AQ ,连接BQ .若PA=6,PB=8,PC=10,则四边形APBQ 的面积为 24+9 .15、 在如图所示的33⨯网格中,从顶点A 到顶点B 的所有不同的走法中;其中走从点A 至点C 再至点B 线路的概率是 532121D 第8题Oy x A C B三、解答题:(本题共7小题,共60分)16.先化简,再求值222x x 11x x x 2x 1-⎛⎫-÷ ⎪+++⎝⎭,其中x 的值从不等式组x 12x 14-≤⎧⎨-⎩<的整数解中选取。

(7分) 解:原式=()()()()22x+1x-1x x x+1x+1-÷ =x x+1x+1x-1-⨯=x x-1- 解x 12x 14-≤⎧⎨-⎩<得-1≤x ≤52,∴不等式组的整数解为-1,0,1,2.若分式有意义,只能取x=2,∴原式=-221-=-2 .17.(8分)某国发生强烈地震,我国积极组织抢险队赴地震灾区参与抢险工作,如图,某探测队在地面A 、B 两处均探测出建筑物下方C 处有生命迹象,已知探测线与地面的夹角分别是25°和60°,且AB=4米,求该生命迹象所在位置C 的深度.(结果精确到1米,参考数据:sin25°≈0.4,cos25°≈0,9,tan25°≈0.5,3≈1.7)解:作CD ⊥AB 交AB 延长线于D ,设CD=x 米. 在Rt △ADC 中,∠DAC=25°,所以tan25°=CDAD=0.5, 所以AD=0.5CD=2x . Rt △BDC 中,∠DBC=60°, 由tan 60°=24xx -=3, 解得:x ≈3.即生命迹象所在位置C 的深度约为3米.18.(8分) 某家具商场计划购进某种餐桌、餐椅进行销售,有关信息如表: 原进价(元/张) 零售价(元/张) 成套售价(元/套)餐桌a 270 500元 餐椅a ﹣110 70 已知用600元购进的餐桌数量与用160元购进的餐椅数量相同. (1)求表中a 的值;(2)若该商场购进餐椅的数量是餐桌数量的5倍还多20张,且餐桌和餐椅的总数量不超过200张.该商场计划将一半的餐桌成套(一张餐桌和四张餐椅配成一套)销售,其余餐桌、餐椅以零售方式销售.请问怎样进货,才能获得最大利润?最大利润是多少?(3)由于原材料价格上涨,每张餐桌和餐椅的进价都上涨了10元,按照(2)中获得最大利润的方案购进餐桌和餐椅,在调整成套销售量而不改变销售价格的情况下,实际全部售出后,所得利润比(2)中的最大利润少了2250元.请问本次成套的销售量为多少? 解:(1)由题意得600a =160110a -, 解得a=150,(2)设购进餐桌x 张,则购进餐椅(5x+20)张,销售利润为W 元. 由题意得:x+5x+20≤200, 解得:x ≤30.∵a=150,∴餐桌的进价为150元/张,餐椅的进价为40元/张. W=12x •(500-310)+12x •(270-150)+(5x+20-12x •4)(70-40)=245x+600, ∵k=245>0,∴W 随x 的增大而增大,∴当x=30时,W 取最大值,最大值为7950.故购进餐桌30张、餐椅170张时,才能获得最大利润,最大利润是7950元. (3)涨价后每张餐桌的进价为160元,每张餐椅的进价为50元, 设本次成套销售量为m 套.依题意得:m(500-360)+(30-m )×(270-160)+(170-4m)×(70﹣50)=7950﹣2250, 即6700﹣50m=5700,解得:m=20. 答:本次成套的销售量为20套.19.(8分)如图,BD 是△ABC 的角平分线,它的垂直平分线分别交AB ,BD ,BC 于点E ,F ,G ,连接ED ,DG .(1)请判断四边形EBGD 的形状,并说明理由;(2)若∠ABC=30°,∠C=45°,ED=210,点H 是BD 上的一个动点,求HG+HC 的最小值.解:(1)四边形EBGD 是菱形.理由:∵EG 垂直平分BD ,∴EB=ED ,GB=GD ,∴∠EBD=∠EDB , ∵∠EBD=∠DBC ,∴∠EDF=∠GBF , 在△EFD 和△GFB 中,,∴△EFD ≌△GFB ,∴ED=BG ,∴BE=ED=DG=GB ,∴四边形EBGD 是菱形.(2)作EM ⊥BC 于M ,DN ⊥BC 于N ,连接EC 交BD 于点H ,此时HG+HC 最小, 在RT △EBM 中,∵∠EMB=90°,∠EBM=30°,EB=ED=210, ∴EM=12BE=10, ∵DE ∥BC ,EM ⊥BC ,DN ⊥BC ,∴EM ∥DN ,EM=DN=10,MN=DE=210, 在RT △DNC 中,∵∠DNC=90°,∠DCN=45°, ∴∠NDC=∠NCD=45°,∴DN=NC=10,∴MC=310,在RT △EMC 中,∵∠EMC=90°,EM=10.MC=310, ∴EC=22EM MC +=22(10)(310)+=10. ∵HG+HC=EH+HC=EC ,∴HG+HC 的最小值为10.20.(8分) (1)类比探究:根据完全平方公式222)(2b a b ab a -=+-可知 ab b a 222≥+,故当0x >时,=+⋅-=+-22)1(12)(12xx x x x x ( )2, 从而可得≥+xx 1(2)归纳猜想:若0,0>>a x ,则≥+xax ,由此可知当=x 时,x a x +有最小值 ;(3)学以致用:某公司为一家制冷设备厂设计生产一种长方形薄板,其周长为4米,这种薄板须沿其对角线折叠后使用.如图所示,()ABCD AB AD >为长方形薄板,沿AC 折叠后,AB '交DC 于点P .当△ADP 的面积最大时最节能.①已知AB =x 米,用x 表示图中DP 的长度,并写出x 的取值范围; ②若要求最节能,应怎样设计薄板的长和宽?解.(1)2)1(xx -,2 (2)a 2,a ,a 2 (3)①由题意,AB x =,2BC x =-.因2x x >-,故12x <<.设DP y =,则PC x y =-.因△ADP ≌△CB P ',故PA PC x y ==-.由 222PA AD DP =+,得 2221()(2)2(1)x y x y y x-=-+⇒=-,12x <<.(说明:不写定义域扣1分)②记△ADP 的面积为1S ,则11(1)(2)S x x =--23()322x x =-+≤-,当且仅当2x =时,S 1取得最大值.故当薄板长为2米,宽为22-米时,节能效果最好.21.(10分) 如图,点C 为△ABD 的外接圆上的一动点(点C 不在BAD 上,且不与点B ,D 重合),∠ACB=∠ABD=45°(1)求证:BD 是该外接圆的直径;(2)连结CD ,求证:2AC=BC+CD ;(3)若△ABC 关于直线AB 的对称图形为△ABM ,连接DM ,试探究DM 2,AM 2,BM 2三者之间满足的等量关系,并证明你的结论.解:(1)∵AB AB =,∴∠ACB=∠ADB=45°,∵∠ABD=45°,∴∠BAD=90°, ∴BD 是△ABD 外接圆的直径;(2)在CD 的延长线上截取DE=BC ,连接EA , ∵∠ABD=∠ADB ,∴AB=AD , ∵∠ADE+∠ADC=180°,∠ABC+∠ADC=180°,∴∠ABC=∠ADE , 在△ABC 与△ADE 中,,∴△ABC ≌△ADE (SAS ),∴∠BAC=∠DAE ,∴∠BAC+∠CAD=∠DAE+∠CAD , ∴∠BAD=∠CAE=90°,∵AD AD =,∴∠ACD=∠ABD=45°,∴△CAE 是等腰直角三角形,2AC=CE 2AC=CD+DE=CD+BC ;(3)过点M 作MF ⊥MB 于点M ,过点A 作AF ⊥MA 于点A ,MF 与AF 交于点F ,连接BF , 由对称性可知:∠AMB=ACB=45°, ∴∠FMA=45°,∴△AMF 是等腰直角三角形, ∴AM=AF ,2AM ,∵∠MAF+∠MAB=∠BAD+∠MAB ,∴∠FAB=∠MAD , 在△ABF 与△ADM 中,,∴△ABF ≌△ADM (SAS ),∴BF=DM ,在Rt △BMF 中,∵BM 2+MF 2=BF 2,∴BM 2+2AM 2=DM 2.22. (11分)已知二次函数22(21)(0)y x k x k k k =-+++>(1)当12k =时,求这个二次函数的顶点坐标; (2)求证:关于x 的一元次方程22(21)=0x k x k k -+++有两个不相等的实数根;(3)如图,该二次函数与x 轴交于A 、B 两点(A 点在B 点的左侧),与y 轴交于C 点,P 是y 轴负半轴上一点,且OP=1,直线AP 交BC 于点Q ,求证:222111OA AB AQ+= y xO QCBAP解(1)将12k =代入二次函数得,顶点坐标为1(1,)4- (2)∵22(21)4()10k k k ∆=+-+=>∴方程有两个不相等的实数根 (3)方法一:点P 的坐标为(0,1),A (,0)k ,B (1,0)k +,C 2(0,)k k +求出AB=1,OA=k ,11PA y x k=- 2CB y kx k k =-++从而求出点Q 坐标为222(,)11k kk k k +++运用距离公式求出2221k AQ k =+代入可得证 方法二:从角的关系发现△ABQ 中∠A QB=90°,从而得△APO ∽△ABQAB AQ AP AO=(AB=1, OA=k ,21AP k =+) 从而求出21kAQ k=+ 代入可得。

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