深圳成越第五次练习

2019-2020学年初三语文第五次月考试卷说明：1.本试卷共4页，满分100分，考试时长100分钟。

2.试题的答案写在答题卡上，写在试卷上的答案无效。

3.答题卡必须填写姓名班级和考生号，并用2B铅笔在考生号填涂栏处把相应数字涂黑。

一、语言技能考查（10分）1．请选出下列词语中加点字的字音字形完全正确．．的一项（）A．翘．首（qiáo）缄．默（jiān）澎湃．（bài）骄．揉造作（jiǎo）B．锃．亮（zèng）狩．猎（shǒu）秀颀．（qí）轻歌慢．舞（màn）C．婆娑．（suō）冗．杂（yǒng）秘决．（huì）接踵．而至（zhǒng）D．蹒．跚（pán）亵．渎(xiè)悄．然（qiǎo）深恶．痛疾（wù）2．请选出下列句子中加点成语运用正确．．的一项（）A．《钢铁是怎样的炼成的》这部小说非常励志，情节也非常抑扬顿挫．．．．，引人入胜。

B．豪宅税取消后，深圳房价又开始飙升，真令人叹为观止．．．．啊。

C.这件事情本来已经解决了，可他还在这里强聒不舍．．．．，真让人烦躁。

D．要知道竹子的性质，就要把叶子切下来拿到显微镜下去观察，绝不是置之不理．．．．就可以得到知识的。

3．请选出下列句子中没有语病．．．．的一项（）A．中学生之所以喜欢网络文学作品的原因，是因为这些作品不仅表现手法自由活泼，而且思想感情丰富细腻。

B．初二（3）班同学准备去南澳搞拓展训练，班主任马老师把这次活动的具体详情都告诉了家长。

C．望着白云缭绕的香炉峰和飞流直下、势不可挡的庐山瀑布，使游览者无不感受到大自然的雄奇壮美和神功伟力。

D．唯有勇立世界科技创新潮头，才能赢得发展主动权，为人类文明进步作出更大贡献。

4．请选出下列句子排序正确．．的一项（）①百般不能排解乡思情，不妨往诗文中寻个消遣处。

②王维的乡思亦有画意：“来日绮窗前，寒梅著花未？”③从古至今，乡愁是诗人的惆怅。

2024学年广东省深圳市名校中考五模英语试题含答案注意事项:1．答题前，考生先将自己的姓名、准考证号码填写清楚，将条形码准确粘贴在条形码区域内。

2．答题时请按要求用笔。

3．请按照题号顺序在答题卡各题目的答题区域内作答，超出答题区域书写的答案无效；在草稿纸、试卷上答题无效。

4．作图可先使用铅笔画出，确定后必须用黑色字迹的签字笔描黑。

5．保持卡面清洁，不要折暴、不要弄破、弄皱，不准使用涂改液、修正带、刮纸刀。

Ⅰ. 单项选择1、—We are going to visit Mary. She has been ill for a week. Could you tell me ______?—I’m not sure. Maybe we can help her with math first.A．how can we make her happyB．how we can help her with the lessonsC．when we will go to her homeD．where she lives2、_____ Tom_____Maria loves this sport.A．Both, and B．Not only, but also C．But, and D．Both, or3、They walked home last night because they couldn’t _____ to take a taxi.A．leave B．buy C．afford D．allow4、--Where is Jeff?--He ____ to the cinema.A．is going B．has gone C．will go D．went5、—The life we were used to greatly since 2009.—That's true. It is changing for the better all the time.A．change B．changing C．has changed D．have changed6、My sister with my parents _______dumplings when I got home yesterday.A．are making B．is makingC．was making D．were making7、Which of the following public signs is correct in English?A．勿踏草坪Keep out the grass. B．禁止钓鱼No fishC．游泳池Swimming Pool D．单行道One Way8、Lily is a very kind girl. We all love ______.A．you B．him C．them D．her9、— Excuse me, could you tell me ?— Sorry, sir. I wasn't there at that time yesterday.A．how the accident happens B．how does the accident happenC．how the accident happened D．how did the accident happen10、It’s reported that people throw plastic bags along this street every day.A．hundred B．hundreds C．hundred of D．hundreds ofⅡ. 完形填空11、Young people are often unhappy when they are with their parents. They say their parents don't understand them. They often think their parents are too strict 1 them. Parents often find 2 difficult to win their children's trust and they seem 3 how they themselves thought when they were young. For example, young people like to do things without much thinking. It's one of their ways to 4 that they grow up and they can solve some difficult problems. Older people worry more easily. Most of them plan things ahead and don't like their plans to be changed. So when you want your parents to let you do something, you will have better success 5 you ask before you really start doing it. Young people often make their parents angry by clothes they wear, the music they enjoy and something else. But they 6 to cause any trouble. They just feel that in this way they can be cut off from the old people's world and they want to make a new culture 7 their own. And if their parents don't like their music or clothes or their way of speech, the young people will feel so sad. Sometimes 8 going out with their parents, they just want to stay at home 9 and do what they like. If you plan to do something, you'd better win your parents' trust and get them to understand you. 10 your parents will certainly let you do what you want to do.1．A．in B．with C．to2．A．that B．one C．it3．A．to forget B．forgetting C．to remember4．A．show B．learn C．find5．A．since B．if C．because6．A．mean B．don’t mean C．like7．A．at B．over C．of8．A．instead B．instead of C．besides9．A．alone B．lonely C．silent10．A．If not B．If so C．HoweverⅢ. 语法填空12、Tyler was a troublesome student. He sat in the b ack row. Every time I called him to answer questions, he’d r1．with a flip(轻率的) answer. If he got it wrong, he would get very angry.Usually kids could sit q2．in class. However, Tyler was just loud. One day, Tyler was talking while I was teaching. I said to him, “Tyler, why not join in our discussion i3．of having one of your own?” He got up from his chair, pushed it over, and s4．something I can’t remember. I sent him to the office and he received a week’s out-of-school punishment.The week was a wonderful time for me, but when it came to an e5．, I began to feel worried. So I came up with a plan. On the day of his r6．, I told him I wanted to start over with him. If he felt like he was going to lose control(控制) in class, he could step o7．the door for a moment.From then on, Tyler was a changed s8．in my classroom. In fact he was a smart child and he even stopped a fight between two students one day. And he never used the privilege(特权) to leave the class for a moment. I believe that just letting him decide for h9．made all the difference.When the year was over, he wrote me a thank-you note about h10．good the year had been for him. I still have it today and find it very moving to reread when I get stressed(有压力的) about teaching.Ⅳ. 阅读理解A13、Many of us might want to take on traditional jobs when we grow up, such as being a doctor or lawyer. However, there are many more choices than just these that are available today.In October, a job-hunting website issued a report after surveying people who work fitness coach and make up artist. Most of the jobs pay well, with one in three workers earning more than 8,000 yuan a month. The top-paying job is vet-- about 29 percent of these animal doctors earn over 20,000 yuan per month.These workers’ educational b ackground is also impressive (令人印象深刻的). Over 60 percent of the surveyed workers have a college degree (学位) or above, the report says. Most of the workers said they chose their jobs out of love and interest in the area. Many of the jobs are no longer specific to one gender. For example, the report found that one-third of child care workers are men. These positions used to be filled almost only by women.Many of these jobs are in the service industry. Economic (经济的) development means people have more money to spend and are in greater need of high-quality services China News Service noted. For example, more people have started to raise pets. Pet owners will spend over 5,000 yuan per pet this year, an increase of 15 percent from 2018, Xinhua reported. The growing demand for animal care, therefore, has encouraged more people to become veterinarians (兽医).1．What does the report issued by show?A．Most people still prefer to work as doctors or lawyers.B．There are many new job choices these days.C．There are 800 different jobs in major Chinese cities.2．Which job has the best pay according to the survey?A．Veterinarian. B．Fitness coach. C．Make-up artist.3．Why are there many new jobs in the service industry?A．Because people need more high-quality services.B．Because they require less skill and knowledge.C．Because there are no gender-differences in this industry.4．Which of the following is NOT true according to the passage?A．Most of the workers chose their jobs out of love and interest in the area.B．More people have started to raise pets.C．Women will be replaced by men in the child care industry.5．What can we infer from the story?A．Finding a job in big cities has become easier in recent years.B．Other new jobs may appear with people's future demands.C．College degrees are a must for working in cities.B14、阅读理解。

2025届广东深圳市翠园中学高三第五次模拟考试数学试卷注意事项：1． 答题前，考生先将自己的姓名、准考证号填写清楚，将条形码准确粘贴在考生信息条形码粘贴区。

2．选择题必须使用2B 铅笔填涂；非选择题必须使用0．5毫米黑色字迹的签字笔书写，字体工整、笔迹清楚。

3．请按照题号顺序在各题目的答题区域内作答，超出答题区域书写的答案无效；在草稿纸、试题卷上答题无效。

4．保持卡面清洁，不要折叠，不要弄破、弄皱，不准使用涂改液、修正带、刮纸刀。

一、选择题：本题共12小题，每小题5分，共60分。

在每小题给出的四个选项中，只有一项是符合题目要求的。

1．如图，在中，点M 是边的中点，将沿着AM 翻折成，且点不在平面内，点是线段上一点.若二面角与二面角的平面角相等，则直线经过的（ ）A ．重心B ．垂心C ．内心D ．外心2．高三珠海一模中，经抽样分析，全市理科数学成绩X 近似服从正态分布()285,N σ，且(6085)0.3P X <≤=．从中随机抽取参加此次考试的学生500名，估计理科数学成绩不低于110分的学生人数约为（ ） A ．40B ．60C ．80D ．1003．已知直线,m n 和平面α，若m α⊥，则“m n ⊥”是“//n α”的（ ） A ．充分不必要条件 B ．必要不充分条件 C ．充分必要条件D ．不充分不必要4．已知随机变量X 服从正态分布()4,9N ，且()()2P X P X a ≤=≥，则a =（ ） A ．3B ．5C ．6D ．75．已知函数2()ln f x ax x x =-+有两个不同的极值点1x ，2x ，若不等式()()()12122f x f x x x t +>++有解，则t 的取值范围是（ ） A ．(,2ln 2)-∞- B ．(],2ln 2-∞- C ．(,112ln 2)-∞-+D ．(],112ln 2-∞-+6．已知椭圆()222210x y a b a b+=>>的右焦点为F ，左顶点为A ，点P 椭圆上，且PF AF ⊥，若1tan 2PAF ∠=，则椭圆的离心率e 为（ ） A ．14B ．13C ．12D ．237．已知实数,x y 满足约束条件11220220x y x y x y ≥-⎧⎪≥-⎪⎨-+≥⎪⎪--≤⎩，则23x y -的最小值是A ．2-B ．72-C ．1D ．48．半径为2的球O 内有一个内接正三棱柱，则正三棱柱的侧面积的最大值为（ ） A．B．C．D．9．已知抛物线C ：28x y =，点P 为C 上一点，过点P 作PQ x ⊥轴于点Q ，又知点()5,2A ，则PQ PA +的最小值为（ ） A ．132B．2C ．3D ．510．直线1y kx =+与抛物线C ：24x y =交于A ，B 两点，直线//l AB ，且l 与C 相切，切点为P ，记PAB 的面积为S ，则S AB -的最小值为( ) A ．94-B ．274-C ．3227-D ．6427-11．已知双曲线C ：2222x y a b-=1(a >0，b >0)的右焦点为F ，过原点O 作斜率为43的直线交C 的右支于点A ，若|OA |=|OF |，则双曲线的离心率为（ ） ABC ．2D12．已知在ABC ∆中，角,,A B C 的对边分别为,,a b c ，若函数()3222111()324f x x bx a c ac x =+++-存在极值，则角B 的取值范围是（ ） A ．0,3π⎛⎫⎪⎝⎭B ．,63ππ⎛⎫⎪⎝⎭C ．,3π⎛⎫π⎪⎝⎭D ．,6π⎛⎫π⎪⎝⎭二、填空题：本题共4小题，每小题5分，共20分。

2025届广东省深圳市乐而思中心高考数学五模试卷注意事项1．考试结束后，请将本试卷和答题卡一并交回．2．答题前，请务必将自己的姓名、准考证号用0．5毫米黑色墨水的签字笔填写在试卷及答题卡的规定位置． 3．请认真核对监考员在答题卡上所粘贴的条形码上的姓名、准考证号与本人是否相符．4．作答选择题，必须用2B 铅笔将答题卡上对应选项的方框涂满、涂黑；如需改动，请用橡皮擦干净后，再选涂其他答案．作答非选择题，必须用05毫米黑色墨水的签字笔在答题卡上的指定位置作答，在其他位置作答一律无效． 5．如需作图，须用2B 铅笔绘、写清楚，线条、符号等须加黑、加粗．一、选择题：本题共12小题，每小题5分，共60分。

在每小题给出的四个选项中，只有一项是符合题目要求的。

1．要排出高三某班一天中，语文、数学、英语各2节，自习课1节的功课表，其中上午5节，下午2节，若要求2节语文课必须相邻且2节数学课也必须相邻（注意：上午第五节和下午第一节不算相邻），则不同的排法种数是（ ） A ．84B ．54C ．42D ．182．给出以下四个命题：①依次首尾相接的四条线段必共面；②过不在同一条直线上的三点，有且只有一个平面；③空间中如果一个角的两边与另一个角的两边分别平行，那么这两个角必相等； ④垂直于同一直线的两条直线必平行. 其中正确命题的个数是（ ） A ．0B ．1C ．2D ．33．设全集,U R =集合{}{}1,||2M x x N x x =<=>，则()UM N ⋂=（ ）A ．{}|2x x >B ．{}|1x x ≥C ．{}|12x x <<D ．{}|2x x ≥4．已知数列{}n a 的通项公式为22n a n =+，将这个数列中的项摆放成如图所示的数阵.记n b 为数阵从左至右的n 列，从上到下的n 行共2n 个数的和，则数列n n b ⎧⎫⎨⎬⎩⎭的前2020项和为（ ）A ．10112020B ．20192020C ．20202021D ．101020215．已知()3,0A -，)3,0B，P 为圆221x y +=上的动点，AP PQ =，过点P 作与AP 垂直的直线l 交直线QB于点M ，若点M 的横坐标为x ，则x 的取值范围是（ ） A ．1x ≥B ．1x >C ．2x ≥D ．2x ≥6．定义在上的函数满足，且为奇函数，则的图象可能是（ ）A ．B ．C ．D ．7．等比数列{}n a 的前n 项和为n S ，若0n a >，1q >，3520a a +=，2664a a =，则5S =（ ） A ．48B ．36C ．42D ．318．已知实数x ，y 满足约束条件2211x y y x y kx +≥⎧⎪-≤⎨⎪+≥⎩，若2z x y =-的最大值为2，则实数k 的值为（ ）A ．1B ．53C ．2D ．739．如图所示的程序框图，若输入4a =，3b =，则输出的结果是（ ）A ．6B ．7C ．5D ．810．已知函数()222,02,0x x x f x x x x ⎧-+≥⎪=⎨-<⎪⎩，若关于x 的不等式()()20f x af x +<⎡⎤⎣⎦恰有1个整数解，则实数a 的最大值为（ ） A ．2B ．3C ．5D ．811．集合{}|212P x N x =∈-<-<的子集的个数是（ ） A ．2B ．3C ．4D ．812．已知函数332sin 2044y x x ππ⎛⎫⎛⎫=+<< ⎪⎪⎝⎭⎝⎭的图像与一条平行于x 轴的直线有两个交点，其横坐标分别为12,x x ，则12x x +=（ ） A ．34π B ．23π C ．3π D ．6π 二、填空题：本题共4小题，每小题5分，共20分。

广东省深圳市2024-2025学年三上数学第五单元《倍的认识》部编版基础掌握模拟卷学校：_______ 班级：__________姓名：_______ 考号：__________（满分：100分时间：45分钟）总分栏题号一二三四五六七总分得分评卷人得分一、认真审题，填一填。

（除标注外，每空1分）1.光明小学操场跑道长400米，小红晨练跑了5圈，她跑了( )千米。

2.18是3的( )倍，算式是( )3.（1）如图第一行△的个数是第二行的( )倍。

（2）第一行移( )个△到第二行，就变成第二行△个数是第一行的3倍。

4.120是3的_____倍；120的3倍是_____。

5.小明今年7岁，爷爷今年的年龄是小明的9倍，明年爷爷的年龄是小明的( )倍。

6.袋子里有3个红球，10个黄球，要使黄球的个数是红球的4倍，可以将黄球的数量( )。

7.小亮有28元，小红有7元，小亮的钱数是小红的( )倍；小强的钱数是小红的3倍，小强有( )元。

8.一个数是4，另一个数是它的9倍，另一个数是( ).9.8的5倍是( ); 45是9的( )倍．评卷人得分二、仔细推敲，选一选。

（将正确答案的序号填入括号内）（每小题2分，10分）1.香蕉个数是梨子的4倍，梨子有8个，香蕉有（）个．A．32B．8C．42.890里面（）个十．A．9B．90C．893.下图中，不能表示“苹果的个数是梨的3倍”的是（）。

A．B．C．D．4.甲数是16，乙数是4，甲乙两数的和是乙数的（）倍。

A．5B．4C．165.小明今年8岁，爸爸的年龄是小明的4倍，爸爸明年（）岁。

A．33B．32C．31评卷人得分三、判一判。

（对的打“✓”，错的打“X”）（共10分）1.彬彬有8张画片，是美美的画片张数的4倍，美美有32张画片． ( )2.红花的朵数是黄花的2倍，那么红花的朵数一定比黄花多。

( )3.奶奶养了5只鸡，养的鸭的只数是鸡的5倍，奶奶养的鸡和鸭共有多少只？列式为5×5＝25(只)．( )4.今年小红5岁，爸爸35岁，明年爸爸的年龄是小红的6倍。

广东省深圳市高峰校2024届中考五模英语试题含答案注意事项1．考生要认真填写考场号和座位序号。

2．试题所有答案必须填涂或书写在答题卡上，在试卷上作答无效。

第一部分必须用2B 铅笔作答；第二部分必须用黑色字迹的签字笔作答。

3．考试结束后，考生须将试卷和答题卡放在桌面上，待监考员收回。

Ⅰ. 单项选择1、----She stayed up late last night. She can hardly do more work now.---- . I’ m too tired.A．So can I. B．So I canC．Neither can I D．Neither I can.2、On ________Children's Day，Jack received a prize for being ________honest boy.A．the；an B．/；an C．/；a D．the；a3、 will the concert begin? even o'clock.A．How long, Not until B．How soon, Not untilC．How long, Until D．How soon, Until4、—Do you know that our class won first prize in yesterday’s singing competition?— Really? _______good news!A．What B．What a C．How D．How a5、---QQ and Wechat have changed people’s life in many ways.--- _____. We can use them to keep in touch and communicate with others more easily.A．Completely B．Exactly C．Probably D．Possibly6、Don’t fear difficulties and failure(失败). Remember: .A．No one is wise at all times.B．A kite rises against the wind rather than with it.C．Don’t cross your bridges before you come to them.D．Y ou can lead a horse to water, but you can’t make it drink.7、--_____ is the library from your house?--It’s about 5 minutes’ ride. But I usually walk there.A．How soon B．How far C．How often D．How long8、It is very kind ____ you to tell us the customs ____ the dinner table.A．of; at B．for; on C．of; on D．for; in9、---I hear you gave your mother a big surprise on Mother’s Day?--- Yes, a big bunch of flowers. I think my mum is always giving she has to me.A．which B．that C．what D．all what10、— ______ have you been skating?—I’ve been skating since I was seven years old.A．How long B．How often C．How many D．How muchⅡ. 完形填空11、A）请先阅读下面短文，掌握其大意，然后从各小题所给的A 、B、C、D四个选项中选出可以填入相应空白处的最佳选项，并在答题卡上将该项涂黑When I was a teenager growing up in France, I wanted to leave school and have my own life. The only way I could 1 this was to work in the local paper factory in my town, or get married. I was very nervous then I told my 2 I wanted to lea ve school. I thought he would say, “ 3 ，You are going to college(大学).” I was very 4 when he said, “OK. Let’s go to the paper factory.”Two days later, 5 took me to the factory. I imagined everyone to be friends 6 together and having fun. I even imagined there would be music and singing. I 7 I had watched too many movies as a teenager.When we 8 the factory gate, my father spoke to the guard(门户) and one minute later we were 9 .I walked around the factory looking at the building, the workers, and listening to the noise. It was 10 .I ran back to my father and said,” I want to go home.”He asked me,“What do you think of the 11 ?”“Too bad,” I answered. “And marriage is even 12 !”he said.I went back to school the next day thinking about studying hard 13 I could get into a good college. I 14 studying English ,so I decided to major in (主修)languages at college. Thanks to my father and our 15 to the paper factory, I now work at the United Nations and my father is very proud of me. I married a very good man and my life is much better than it would have been working in the factory!1．A．say B．do C．receive D．find2．A．teacher B．friend C．father D．husband3．A．Yes! B．No! C．Really? D．OK?4．A．angry B．tired C．nervous D．surprised5．A．he B．she C．it D．they6．A．working B．studying C．singing D．farming7．A．guess B．mean C．say D．hope8．A．looked at B．returned to C．arrived at D．left for9．A．outside B．inside C．back D．away10．A．terrible B．wonderful C．funny D．special11．A．workers B．guard C．building D．factory12．A．better B．harder C．worse D．easier13．A．but B．if C．so that D．or14．A．enjoyed B．stopped C．disliked D．minded15．A．way B．idea C．plan D．tripⅢ. 语法填空12、短文填空Some people think that they 1．(get) ill if they use their brains（大脑）too much. It is not true. Through many researches, scientists 2．(show) us that the more you use your brains, the better they 3．(be), and the wiser you will become.Of course, if you want to keep your mind clear and be energetic（充满活力的）, you 4．(take) a proper rest and study properly. To the teenagers 5．(use) their brains in the morning is good for their health.There are many ways 6．(rest). One is a peaceful rest. Sleep is a peaceful rest. Another is an active rest. For example, 7．(take) a walk outdoors, do morning exercises every day. 8．(change) the way of the brains’ activities（活动）is also a good way to rest. In everyday life, 9．(eat) some eggs, meat, fresh vegetable and fruit is also good for the brains. 10．(wish) you a wise man and a happy life.Ⅳ. 阅读理解A13、What do you usually do while waiting for someone? It might say something about you.A．B．C．D．A．Y ou walk around, rubbing(摩擦) your hands.B．Y ou stand still, looking at your watch.C．Y ou cross your arms, looking impatient.D．Y ou stand staring into the distance, thinking.Analysis (分析)★ If your answer is “A”You are short-tempered(脾气暴躁的). You are full of energy but sometimes careless. You make friends with all your heart. But sometimes you may hurt others because of your quick tongue(语言).★ If your answer is “B”You are patient and very strict with yourself. Y ou work hard. When your friends have trouble, you will try your best to help them.★ If your answer is “C”You are strong-minded. You stick to your own views, but are also good with people. You can make others agree with you. ★ If your answer is “D”You have great patience. You are very nice to your family and friends. However, you may be too nice.This quiz is just for fun. Don’t take it seriously.1．If your answer i s “A”, you are _______.A．short-tempered B．strict C．patient D．careful2．Which one sticks to his or her own views?A．The person who chooses A．B．The person who chooses B．C．The person who chooses C．D．The person who chooses D．3．What can we know according to the passage?A．If your answer is “B”, you are strict with yourself.B．If your answer is “C”, you are patient and nice.C．If your answer is “D”, you may be strong-minded.D．The writer really wants us to take the quiz seriously.4．After reading the passage, we can know it is _______.A．a quiz B．a tip C．a notice D．an advertisementB14、阅读下列短文，从各题所给的A．B．C．和D项中选出最佳的选择，并在答题卡上将该选项涂黑.It may be hard to believe, but the American Revolution(革命)—the war that freed the American states from British control—began over a cup of tea. Tea was not the only thing that caused the war, of course, but it played a very big part. The British people’s love of tea is well-known. When the British won control over mush of North America in the early 1700s, they brought their tea- drinking habits with them. Tea quickly became the continents most popular drink. As tea could not be grown locally, just as in Britain, it was shipped into the country—mostly from India.In the early 1700s, the Britain government made a special deal with the East India Company, as an English trading company. They agreed that no other company was allowed to bring tea to Britain or any country controlled by Britain, including America. It was a great deal for the East India Company, since it meant that the company could decide whatever price it wanted for its products. Anditalways decided on a high price!In North America, the local people did not like having to pay such high prices. Instead of overpaying for tea from theBritish, they turned to Dutch traders, who secretly brought tea to the country that was just as good—and much less expensive. Although this broke the law, the American people didn’t care. They got the same cup of tea at a much lower price.The East India Company, however, didn’t like this at all. B y the 1760s, they were losing millions of pounds each year to Dutch traders—a huge amount of money in a time when ￡60 a year was considered a good income. Instead of reducing their prices to compete with the Dutch, the company asked the British government for help and the government agreed. In 1767, the British introduced new law that increased the prices of all goods which were brought into America. These laws helped make the East India Company even richer and forced local people to pay much more for everything. The American leaders asked the British government not to do so, but the British refused to listen. These unfair laws increased Americans’ anger about British rule and the rest, as they say, is history.1．In the early 1700s where did most tea drunk in America come from?A．China B．India C．America D．Britain2．The underlined word “it” in Paragraph 3 refers to________.A．the tea makerB．the American governmentC．the British governmentD．the East India Company3．Why did may Americans begin to buy tea from the Dutch traders?A．The tea was much cheaper.B．The tea was a lot healthier.C．They could buy it more easily.D．They didn't want to support the British.4．What did the East India Company do to stop losing money?A．It reduced the price of its tea.B．It improved the taste of its tea.C．It introduced a new kind of tea.D．It asked the British government for help.5．What is the passage mainly about?A．Tea trade in eighteenth-century America.B．The relationship between America and Britain.C．A reason for the start of the American Revolutionary War.D．The introduction of British tea-drinking habits into America.C15、The first Starbucks coffee shop opened in 1971 in downtown Seattle, Washington，in the United States. It was a small coffee shop that roasted its own coffee beans. The coffee shop’s business did well, and by 1981 there were three more Starbucks stores in Seattle.Things really began to change for the company in 1981. That year, Howard Schultz met the three men who ran Starbucks. Schultz worked in New York for a company that made kitchen equipment. He noticed that Starbucks ordered a large number of special coffee makers, and he was curious about the company. Schultz went to Seattle to see what Starbucks did, and he liked what he saw. He wanted to become part of the company. In 1982, the original（原先的）Starbucks owners hired Schultz as the company’s head of marketing.In 1983, Schultz travelled to Italy. The unique atmosphere of the coffee bars there caught his eye. To Schultz, it seemed that Italians spent their daily lives in three places; home, work, and coffee bars. His experience in Italy gave Schultz a new idea for Starbucks back in Seattle.Schultz created an atmosphere for Starbucks coffee shops that was comfortable, and customers everywhere seemed to like it. Between 1987 and 1992, Starbucks opened 150 new stores—and that was only the beginning. In fact, by the year 2000, three new Starbucks stores opened somewhere around the world every day!Today, Starbucks has thousands of stores, including stores in twenty-six countries. One thing that helps make Starbucks succeed in cities outside the United States is the way Starbucks works with local stores and restaurants. By working together with a store already in the city, Starbucks gets an understanding of customers in the city. This understanding helps Starbucks open stores in the right locations for their customers.1．What is the main idea of this passage?A．How Starbucks has grown B．What Starbucks makesC．Starbucks’ customers D．How Starbucks makes its coffee2．Which is true about Starbucks’ first ten years of business?A．It grew very quickly B．It was a small companyC．It made special coffee makers D．It was run by Howard Schultz3．About how many new Starbucks opened in 1999?A．3 B．150 C．300 D．more than 10004．What helps Starbucks succeed in places outside the United States?A．Opening restaurants in just a few locations each yearB．Only selling locally produced coffee beansC．working with other major coffee-making companiesD．Learning about local customersD16、A tsunami(海啸) is a series of(一系列) huge waves that can cause great destruction(毁灭) when they hit a beach. Most tsunamis are caused by underwater earthquakes, but not all underwater earthquakes cause tsunamis. About 90 percent of all tsunamis take place in the Pacific Ocean, most of them are in Japan. A strong earthquake in the ocean near Japan caused a deadly tsunami on March 11,2011. As of April 25, the number of death had been raised to 14,133, and more than 13,346 people were liste d as missing. The word “tsunami” comes from the Japanese word.Many tsunamis could be found before they hit land with the use of modern technology. If you see the water drawback (后退) quickly and unexpectedly from a beach, run toward higher ground or inland -- there may be a tsunami coming. Also, if you are on the beach and there is an earthquake, it may have caused a tsunami, so run toward higher ground or inland. The first wave in a tsunami is often not the largest; if you experience one unusually-huge wave, go inland quickly -- even bigger waves could be coming soon.Do you know the story of the "angel(天使) of the beach"? Tilly, A 10-year-old English schoolgirl who saved the lives of hundreds of people in Phuket,Thailand in the Asian Tsunami of 2004 , by warning them a wall of water was about to strike(袭击), after learning about tsunamis in geography class. “Last term geography teacher Andrew Kearney taught us about earthquakes and how they can cause tsunamis,” Tilly said to the reporter.“I was on the bea ch and the water started to go funny. There were bubbles and the water went out all of a sudden. I recognised what was happening and had a feeling there was going to be a tsunami. I told mummy.”1．An earthquake may cause a tsunami.A．in the city B．in the country C．under the water2．When the tsunami is coming, we should .A．run towards the higher place or inlandB．run to the playgroundC．run into a house3．Tilly saved hundreds of people’s life in.A．Japan B．Tailand C．the United Kingdom4．Tilly recognised there would be a tsunami because .A．her geography teacher told her.B．she found the water drawback unusually quicklyC．she had a feeling about the earthquake5．Which of the following statement is TRUE according to the passage?A．The word “tsunami” is from Japanese because most recorded tsunamis in the world took place in Japan B．Tsunami can only be found by modern technology before it hit the land.C．Tsunami only happens in the Pacific OceanE17、Chicago is a famous city in the US. If you have a chance to go to the US, it is a good idea to pay a visit to Chicago.Chicago is the third largest city in the US. It is home to people who have migrated from all over the world. People move to Chicago from different places to live with their families or friends who arrived here first. They come by train, plane and ship to live in this great city.The center of Chicago is called The Loop. You can see many tall buildings here, even some of the tallest in the world. As you travel away from The Loop, you will find there are communities of different foreign cultures. But you can’t travel east of The Loop because of Lake Michigan.When you travel south of The Loop, you will find areas like Chinatown. There, people from China celebrate many of the same festivals as people in their hometowns do, for example, the Chinese New Year. They also celebrate the holidays of the US.Chicago is also called the Windy City, so don’t forget to take more clothes with you.1．The underlined word ＂migrated＂means ＂_____________＂in Chinese.A．生长B．移居C．逃离D．改变2．Chinatown is in the _____________ of The Loop.A．south B．north C．east D．west3．After reading the passage, we can know _____________.A．Chicago is the second largest city in the USB．p eople can’t take ships to ChicagoC．in Chicago we can see all the tallest buildings of the worldD．some people in Chicago celebrate the Chinese New Year4．If we can read the passage in the magazine, the name of the magazine may be ＂_____________＂.A．Famous Cities B．Public HolidayC．Beautiful Counties D．Holidays and CelebrationsF18、Many people who work in London prefer to live outside it, and to go in to their offices or schools every day by train, car or bus, even though this means they have to get up early in the morning and reach home late in the evening.One advantage of living outside London is that houses are cheaper. Even a small flat in London without a garden costs quite a lot to rent. With the same money, one can get a little house in the country with a garden of one's own.Then, in the country one can really get away from the noise and hurry of busy working lives. Even though one has to get up earlier and spend more time in trains or buses, one can sleep better at night and during weekends and on summer evenings, one can enjoy the fresh, clean air of the country. If one likes gardens, one can spend one's free time digging, planting, watering and doing the hundred and one other jobs which are needed in a garden. Then, when the flowers and vegetables come up, one has got the reward together with those who have shared the secret of nature.Some people, however, take no interest in country things: for them, happiness lies in the town, with its cinemas and theatres, beautiful shops and busy streets, dance-halls and restaurants. Such people would feel that their life was not worth living if they had to live it outside London. An occasional (偶尔的) walk in one of the parks and a fortnight's (two weeks) visit to the sea every summer is all the country they want: the rest of the country they are quite prepared to spend with those who are glad to get away from London every night.1．（小题1）Which of the following statements is NOT true?A．People who love nature prefer to live outside the city.B．People who work in London prefer to live in the city.C．Some people enjoying city life prefer to work and live inside London.D．Many nature lovers, though working in London, prefer to live outside the city.2．（小题2）One can use the same money for _______ to buy a little house with a garden in the country.A．getting a small flat with a gardenB．having a small flat with a gardenC．renting a small flat without a gardenD．buying a small flat without a garden3．（小题3）People who think happiness lies in the town would feel that _______ if they had to live outside London. A．their life was meaninglessB．their life was invaluableC．they didn't need a happy lifeD．they couldn’t sleep late in the morningⅤ.书面表达19、“人生没有彩排，生命没有重来”，你平安、健康、快乐地成长是父母最大的心愿。

2024学年广东省深圳市龙岗区龙岗街道新梓校中考五模数学试题注意事项1．考生要认真填写考场号和座位序号。

2．试题所有答案必须填涂或书写在答题卡上，在试卷上作答无效。

第一部分必须用2B 铅笔作答；第二部分必须用黑色字迹的签字笔作答。

3．考试结束后，考生须将试卷和答题卡放在桌面上，待监考员收回。

一、选择题（每小题只有一个正确答案，每小题3分，满分30分）1．如图，⊙O 的半径OA=6，以A 为圆心，OA 为半径的弧交⊙O 于B 、C 点，则BC=（ ）A ．63B ．62C ．33D ．322．如图，点E 是四边形ABCD 的边BC 延长线上的一点，则下列条件中不能判定AD ∥BE 的是（ ）A ．12∠=∠B ．34∠=∠C ．D 5∠∠= D ．B BAD 180∠∠+=3．若x ＞y ，则下列式子错误的是（ ）A ．x ﹣3＞y ﹣3B ．﹣3x ＞﹣3yC ．x+3＞y+3D ．x y >334．下列运算结果正确的是（ ）A ．3a ﹣a=2B ．（a ﹣b ）2=a 2﹣b 2C ．a （a+b ）=a 2+bD ．6ab 2÷2ab=3b5．如图，矩形ABOC 的顶点A 的坐标为（﹣4，5），D 是OB 的中点，E 是OC 上的一点，当△ADE 的周长最小时，点E 的坐标是（ ）A ．（0，43）B ．（0，53）C ．（0，2）D ．（0，103） 6．已知一个正n 边形的每个内角为120°，则这个多边形的对角线有（ ）A ．5条B ．6条C ．8条D ．9条7．如图，点O 为平面直角坐标系的原点，点A 在x 轴上，△OAB 是边长为4的等边三角形，以O 为旋转中心，将△OAB 按顺时针方向旋转60°，得到△OA′B′，那么点A′的坐标为（ ）A ．（2，23）B ．（﹣2，4）C ．（﹣2，22）D ．（﹣2，23）8．如果关于x 的不等式组2030x a x b -≥⎧⎨-≤⎩的整数解仅有2x =、3x =，那么适合这个不等式组的整数a 、b 组成的有序数对(,)a b 共有（）A ．3个B ．4个C ．5个D ．6个9．已知反比例函数2y x-=，下列结论不正确的是（ ） A ．图象经过点（﹣2，1） B ．图象在第二、四象限C ．当x ＜0时，y 随着x 的增大而增大D ．当x ＞﹣1时，y ＞2 10．如图，已知l 1∥l 2，∠A=40°，∠1=60°，则∠2的度数为（ ）A ．40°B ．60°C ．80°D ．100°二、填空题（共7小题，每小题3分，满分21分）11．关于x 的一元二次方程260x x b -+=有两个不相等的实数根，则实数b 的取值范围是________．12．如图，△ABC ≌△ADE ，∠EAC ＝40°，则∠B ＝_______°．13．（2016辽宁省沈阳市）如图，在Rt△ABC中，∠A=90°，AB=AC，BC=20，DE是△ABC的中位线，点M是边BC上一点，BM=3，点N是线段MC上的一个动点，连接DN，ME，DN与ME相交于点O．若△OMN是直角三角形，则DO的长是______．14．计算：|﹣3|+（﹣1）2= ．15．如图，等腰△ABC中，AB＝AC，∠BAC＝50°，AB的垂直平分线MN交AC于点D，则∠DBC的度数是____________．16．如图，矩形ABCD中，AB＝2，点E在AD边上，以E为圆心，EA长为半径的⊙E与BC相切，交CD于点F，连接EF．若扇形EAF的面积为，则BC的长是_____．17．已知方程组2425x yx y+=⎧⎨+=⎩，则x+y的值为_______．三、解答题（共7小题，满分69分）18．（10分）解方程：3122 x x=-+19．（5分）如图甲，直线y=﹣x+3与x轴、y轴分别交于点B、点C，经过B、C两点的抛物线y=x2+bx+c与x轴的另一个交点为A，顶点为P．（1）求该抛物线的解析式；（2）在该抛物线的对称轴上是否存在点M，使以C，P，M为顶点的三角形为等腰三角形？若存在，请直接写出所符合条件的点M的坐标；若不存在，请说明理由；（3）当0＜x＜3时，在抛物线上求一点E，使△CBE的面积有最大值（图乙、丙供画图探究）．20．（8分）在平面直角坐标系xOy 中，若抛物线2y x bx c =++顶点A 的横坐标是1-，且与y 轴交于点()B 0,1-，点P 为抛物线上一点．()1求抛物线的表达式；()2若将抛物线2y x bx c =++向下平移4个单位，点P 平移后的对应点为Q.如果OP OQ =，求点Q 的坐标．21．（10分）如图，CD 是一高为4米的平台，AB 是与CD 底部相平的一棵树，在平台顶C 点测得树顶A 点的仰角30α=︒，从平台底部向树的方向水平前进3米到达点E ，在点E 处测得树顶A 点的仰角60β=︒，求树高AB (结果保留根号).22．（10分）如图，以△ABC 的一边AB 为直径作⊙O ， ⊙O 与BC 边的交点D 恰好为BC 的中点，过点D 作⊙O 的切线交AC 边于点E ．(1) 求证：DE ⊥AC ；(2) 连结OC交DE于点F，若3sin4ABC∠=，求OFFC的值．23．（12分）一不透明的布袋里，装有红、黄、蓝三种颜色的小球（除颜色外其余都相同），其中有红球2个，蓝球1个，黄球若干个，现从中任意摸出一个球是红球的概率为12．求口袋中黄球的个数；甲同学先随机摸出一个小球（不放回），再随机摸出一个小球，请用“树状图法”或“列表法”，求两次摸出都是红球的概率；24．（14分）如图，在△ABC中，AB=AC，∠ABC=72°．（1）用直尺和圆规作∠ABC的平分线BD交AC于点D（保留作图痕迹，不要求写作法）；（2）在（1）中作出∠ABC的平分线BD后，求∠BDC的度数．参考答案一、选择题（每小题只有一个正确答案，每小题3分，满分30分）1、A【解题分析】试题分析：根据垂径定理先求BC一半的长，再求BC的长．解：如图所示，设OA与BC相交于D点.∵AB=OA=OB=6，∴△OAB是等边三角形.又根据垂径定理可得，OA平分BC，利用勾股定理可得BD=所以BC=2BD=故选A.点睛：本题主要考查垂径定理和勾股定理. 解题的关键在于要利用好题中的条件圆O与圆A的半径相等，从而得出△OAB是等边三角形，为后继求解打好基础.2、A【解题分析】利用平行线的判定方法判断即可得到结果．【题目详解】∵∠1=∠2，∴AB∥CD，选项A符合题意；∵∠3=∠4，∴AD∥BC，选项B不合题意；∵∠D=∠5，∴AD∥BC，选项C不合题意；∵∠B+∠BAD=180°，∴AD∥BC，选项D不合题意，故选A．【题目点拨】此题考查了平行线的判定，熟练掌握平行线的判定方法是解本题的关键．3、B【解题分析】根据不等式的性质在不等式两边加（或减）同一个数（或式子），不等号的方向不变；不等式两边乘（或除以）同一个正数，不等号的方向不变；不等式两边乘（或除以）同一个负数，不等号的方向改变即可得出答案：A、不等式两边都减3，不等号的方向不变，正确；B、乘以一个负数，不等号的方向改变，错误；C、不等式两边都加3，不等号的方向不变，正确；D、不等式两边都除以一个正数，不等号的方向不变，正确．故选B．4、D【解题分析】各项计算得到结果，即可作出判断．【题目详解】解：A、原式=2a，不符合题意；B、原式=a2-2ab+b2，不符合题意；C、原式=a2+ab，不符合题意;D、原式=3b，符合题意；故选D【题目点拨】此题考查了整式的混合运算，熟练掌握运算法则是解本题的关键．5、B【解题分析】解：作A关于y轴的对称点A′，连接A′D交y轴于E，则此时，△ADE的周长最小．∵四边形ABOC是矩形，∴AC∥OB，AC=OB．∵A的坐标为（﹣4，5），∴A′（4，5），B（﹣4，0）．∵D是OB的中点，∴D（﹣2，0）．设直线DA′的解析式为y=kx+b，∴5402k bk b=+⎧⎨=-+⎩，∴5653kb⎧=⎪⎪⎨⎪=⎪⎩，∴直线DA′的解析式为5563y x=+．当x=0时，y=53，∴E（0，53）．故选B．6、D【解题分析】多边形的每一个内角都等于120°，则每个外角是60°，而任何多边形的外角是360°，则求得多边形的边数；再根据多边形一个顶点出发的对角线＝n ﹣3，即可求得对角线的条数．【题目详解】解：∵多边形的每一个内角都等于120°，∴每个外角是60度，则多边形的边数为360°÷60°＝6，则该多边形有6个顶点，则此多边形从一个顶点出发的对角线共有6﹣3＝3条． ∴这个多边形的对角线有12（6×3）＝9条， 故选：D ．【题目点拨】本题主要考查多边形内角和与外角和及多边形对角线，掌握求多边形边数的方法是解本题的关键．7、D【解题分析】分析：作BC ⊥x 轴于C ，如图，根据等边三角形的性质得4,2,60OA OB AC OC BOA ====∠=，则易得A 点坐标和O 点坐标，再利用勾股定理计算出224223BC =-=，然后根据第二象限点的坐标特征可写出B 点坐标；由旋转的性质得60,AOA BOB OA OB OA OB ∠'=∠'==='='，则点A ′与点B 重合，于是可得点A ′的坐标．详解：作BC ⊥x 轴于C ，如图，∵△OAB 是边长为4的等边三角形∴4,2,60OA OB AC OC BOA ====∠=，∴A 点坐标为(−4,0),O 点坐标为(0,0)，在Rt △BOC 中,224223BC =-=，∴B 点坐标为(2,23)-；∵△OAB 按顺时针方向旋转60,得到△OA ′B ′，∴60,AOA BOB OA OB OA OB ∠'=∠'==='='，∴点A ′与点B 重合,即点A ′的坐标为(2, ，故选D.点睛：考查图形的旋转，等边三角形的性质.求解时，注意等边三角形三线合一的性质.8、D【解题分析】求出不等式组的解集，根据已知求出1＜2a ≤2、3≤3b ＜4，求出2＜a≤4、9≤b ＜12，即可得出答案． 【题目详解】 解不等式2x−a≥0，得：x≥2a ， 解不等式3x−b≤0，得：x≤3b ， ∵不等式组的整数解仅有x ＝2、x ＝3，则1＜2a ≤2、3≤3b ＜4， 解得：2＜a≤4、9≤b ＜12，则a ＝3时，b ＝9、10、11；当a ＝4时，b ＝9、10、11；所以适合这个不等式组的整数a 、b 组成的有序数对（a ，b ）共有6个，故选：D ．【题目点拨】本题考查了解一元一次不等式组，不等式组的整数解，有序实数对的应用，解此题的根据是求出a 、b 的值． 9、D【解题分析】A 选项：把（-2，1）代入解析式得：左边=右边，故本选项正确；B 选项：因为-2＜0，图象在第二、四象限，故本选项正确；C 选项：当x ＜0，且k ＜0，y 随x 的增大而增大，故本选项正确；D 选项：当x ＞0时，y ＜0，故本选项错误．故选D ．10、D【解题分析】根据两直线平行，内错角相等可得∠3=∠1，再根据三角形的一个外角等于与它不相邻的两个内角的和列式计算即可得解．【题目详解】解：∵l 1∥l 2，∴∠3=∠1=60°，∴∠2=∠A+∠3=40°+60°=100°．故选D ．【题目点拨】本题考查了平行线的性质，三角形的一个外角等于与它不相邻的两个内角的和的性质，熟记性质并准确识图是解题的关键．二、填空题（共7小题，每小题3分，满分21分）11、b ＜9【解题分析】由方程有两个不相等的实数根结合根的判别式，可得出3640b ＞∆=-，解之即可得出实数b 的取值范围．【题目详解】 解：方程260x x b +=﹣有两个不相等的实数根，2643640b b ∴∆=--=-（）＞，解得：b 9＜．【题目点拨】本题考查的知识点是根的判别式，解题关键是牢记“当0∆＞时，方程有两个不相等的实数根”．12、1°【解题分析】根据全等三角形的对应边相等、对应角相等得到∠BAC=∠DAE ，AB=AD ，根据等腰三角形的性质和三角形内角和定理计算即可．【题目详解】∵△ABC ≌△ADE ，∴∠BAC=∠DAE ，AB=AD ，∴∠BAD=∠EAC=40°，∴∠B=（180°-40°）÷2=1°，故答案为1．【题目点拨】本题考查的是全等三角形的性质和三角形内角和定理，掌握全等三角形的对应边相等、对应角相等是解题的关键．13、256或5013．【解题分析】由图可知，在△OMN中，∠OMN的度数是一个定值，且∠OMN不为直角. 故当∠ONM=90°或∠MON=90°时，△OMN 是直角三角形. 因此，本题需要按以下两种情况分别求解.(1) 当∠ONM=90°时，则DN⊥BC.过点E作EF⊥BC，垂足为F.(如图)∵在Rt△ABC中，∠A=90°，AB=AC，∴∠C=45°，∵BC=20，∴在Rt△ABC中，2cos cos45201022AC BC C BC=⋅=⋅︒=⨯=∵DE是△ABC的中位线，∴1110252 22CE AC==⨯=∴在Rt△CFE中，2sin sin455252EF CE C BC=⋅=⋅︒==，5FC EF==.∵BM=3，BC=20，FC=5，∴MF=BC-BM-FC=20-3-5=12. ∵EF=5，MF=12，∴在Rt△MFE中，5 tan12EFEMFMF∠==，∵DE是△ABC的中位线，BC=20，∴11201022DE BC==⨯=，DE∥BC，∴∠DEM=∠EMF，即∠DEO=∠EMF，∴5 tan tan12DEO EMF∠=∠=，∴在Rt△ODE中，525tan10126 DO DE DEO=⋅∠=⨯=.(2) 当∠MON=90°时，则DN⊥ME.过点E作EF⊥BC，垂足为F.(如图)∵EF=5，MF=12，∴在Rt△MFE中，222212513ME MF EF=++=，∴在Rt△MFE中，5 sin13EFEMFME∠==，∵∠DEO=∠EMF，∴5 sin sin13DEO EMF∠=∠=，∵DE=10，∴在Rt△DOE中，550sin101313 DO DE DEO=⋅∠=⨯=.综上所述，DO的长是256或5013.故本题应填写：256或5013.点睛：在解决本题的过程中，难点在于对直角三角形中直角的分类讨论；关键点是通过等角代换将一个在原直角三角形中不易求得的三角函数值转换到一个容易求解的直角三角形中进行求解. 另外，本题也可以用相似三角形的方法进行求解，不过利用锐角三角函数相对简便.14、4.【解题分析】|﹣3|+（﹣1）2=4，故答案为4.15、15°【解题分析】分析：根据等腰三角形的性质得出∠ABC的度数，根据中垂线的性质得出∠ABD的度数，最后求出∠DBC的度数．详解：∵AB=AC，∠BAC=50°，∴∠ABC=∠ACB=(180°－50°)=65°，∵MN为AB的中垂线，∴∠ABD=∠BAC=50°，∴∠DBC=65°－50°=15°．点睛：本题主要考查的是等腰三角形的性质以及中垂线的性质定理，属于中等难度的题型．理解中垂线的性质是解决这个问题的关键．416、1【解题分析】分析：设∠AEF=n°，由题意，解得n=120，推出∠AEF=120°，在Rt△EFD中，求出DE即可解决问题．详解：设∠AEF=n°，由题意，解得n=120，∴∠AEF=120°，∴∠FED=60°，∵四边形ABCD是矩形，∴BC=AD，∠D=90°，∴∠EFD=10°，∴DE=EF=1，∴BC=AD=2+1=1，故答案为1．点睛：本题考查切线的性质、矩形的性质、扇形的面积公式、直角三角形10度角性质等知识，解题的关键是灵活运用所学知识解决问题，属于中考常考题型．17、1【解题分析】方程组两方程相加即可求出x+y的值．【题目详解】2425x y x y ＝①＝②+⎧⎨+⎩， ①+②得：1（x+y ）=9，则x+y=1．故答案为：1．【题目点拨】此题考查了解二元一次方程组，利用了消元的思想，消元的方法有：代入消元法与加减消元法．三、解答题（共7小题，满分69分）18、x=-4是方程的解【解题分析】分式方程去分母转化为整式方程，求出整式方程的解得到x 的值，经检验即可得到分式方程的解．【题目详解】 3122x x =-+ ()()322x x +=-∴x=-4，当x=-4时，()()2020x x +≠-≠，∴x=-4是方程的解【题目点拨】本题考查了分式方程的解法，（1）解分式方程的基本思想是“转化思想”，把分式方程转化为整式方程求解．（2）解分式方程一定注意要验根．19、（1）y=x 2﹣4x+3；（2）（2，）或（2，7）或（2，﹣1+2）或（2，﹣1﹣2）；（3）E 点坐标为（，）时，△CBE 的面积最大．【解题分析】试题分析：（1）由直线解析式可求得B 、C 坐标，利用待定系数法可求得抛物线解析式；（2）由抛物线解析式可求得P 点坐标及对称轴，可设出M 点坐标，表示出MC 、MP 和PC 的长，分MC=MP 、MC=PC 和MP=PC 三种情况，可分别得到关于M 点坐标的方程，可求得M 点的坐标；（3）过E 作EF ⊥x 轴，交直线BC 于点F ，交x 轴于点D ，可设出E 点坐标，表示出F 点的坐标，表示出EF 的长，进一步可表示出△CBE 的面积，利用二次函数的性质可求得其取得最大值时E 点的坐标．试题解析：（1）∵直线y=﹣x+3与x 轴、y 轴分别交于点B 、点C ，∴B（3，0），C（0，3），把B、C坐标代入抛物线解析式可得，解得，∴抛物线解析式为y=x2﹣4x+3；（2）∵y=x2﹣4x+3=（x﹣2）2﹣1，∴抛物线对称轴为x=2，P（2，﹣1），设M（2，t），且C（0，3），∴MC=，MP=|t+1|，PC=，∵△CPM为等腰三角形，∴有MC=MP、MC=PC和MP=PC三种情况，①当MC=MP时，则有=|t+1|，解得t=，此时M（2，）；②当MC=PC时，则有=2，解得t=﹣1（与P点重合，舍去）或t=7，此时M（2，7）；③当MP=PC时，则有|t+1|=2，解得t=﹣1+2或t=﹣1﹣2，此时M（2，﹣1+2）或（2，﹣1﹣2）；综上可知存在满足条件的点M，其坐标为（2，）或（2，7）或（2，﹣1+2）或（2，﹣1﹣2）；（3）如图，过E作EF⊥x轴，交BC于点F，交x轴于点D，设E（x，x2﹣4x+3），则F（x，﹣x+3），∵0＜x＜3，∴EF=﹣x+3﹣（x2﹣4x+3）=﹣x2+3x，∴S△CBE=S△EFC+S△EFB=EF•OD+EF•BD=EF•OB=×3（﹣x2+3x）=﹣（x﹣）2+，∴当x=时，△CBE的面积最大，此时E点坐标为（，），即当E 点坐标为（，）时，△CBE 的面积最大．考点：二次函数综合题．20、()1为2y x 2x 1=+-；()2点Q 的坐标为()3,2--或()1,2-． 【解题分析】()1依据抛物线的对称轴方程可求得b 的值，然后将点B 的坐标代入线22y x x c =-+可求得c 的值,即可求得抛物线的表达式；()2由平移后抛物线的顶点在x 轴上可求得平移的方向和距离，故此4QP =，然后由点QO PO =，//QP y 轴可得到点Q 和P 关于x 对称，可求得点Q 的纵坐标，将点Q 的纵坐标代入平移后的解析式可求得对应的x 的值，则可得到点Q 的坐标．【题目详解】()1抛物线2y x bx c =++顶点A 的横坐标是1-， b x 12a ∴=-=-，即b 121-=-⨯，解得b 2=． 2y x 2x c ∴=++．将()B 0,1-代入得：c 1=-，∴抛物线的解析式为2y x 2x 1=+-．()2抛物线向下平移了4个单位．∴平移后抛物线的解析式为2y x 2x 5=+-，PQ 4=．OP OQ =，∴点O 在PQ 的垂直平分线上．又QP //y 轴，∴点Q 与点P 关于x 轴对称．∴点Q 的纵坐标为2-．将y 2=-代入2y x 2x 5=+-得：2x 2x 52+-=-，解得：x 3=-或x 1=． ∴点Q 的坐标为()3,2--或()1,2-．【题目点拨】本题主要考查的是二次函数的综合应用，解答本题主要应用了待定系数法求二次函数的解析式、二次函数的平移规律、线段垂直平分线的性质，发现点Q 与点P 关于x 轴对称，从而得到点Q 的纵坐标是解题的关键．21、6+332【解题分析】如下图，过点C 作CF ⊥AB 于点F ，设AB 长为x ，则易得AF=x-4，在Rt △ACF 中利用∠α的正切函数可由AF 把CF 表达出来，在Rt △ABE 中，利用∠β的正切函数可由AB 把BE 表达出来，这样结合BD=CF ，DE=BD-BE 即可列出关于x 的方程，解方程求得x 的值即可得到AB 的长.【题目详解】解：如图，过点C 作CF ⊥AB ，垂足为F ，设AB =x ，则AF =x -4，∵在Rt △ACF 中，tan ∠α=AF CF ， ∴CF =4tan30x -︒=BD ， 同理，Rt △ABE 中，BE =tan60x ︒， ∵BD -BE =DE ，∴4tan30x -︒-tan60x ︒=3， 解得x 332答：树高AB 为（332 . 【题目点拨】作出如图所示的辅助线，利用三角函数把CF 和BE 分别用含x 的式子表达出来是解答本题的关键.22、（1）证明见解析（2）87【解题分析】（1）连接OD ，根据三角形的中位线定理可求出OD ∥AC ，根据切线的性质可证明DE ⊥OD ，进而得证．（2）连接AD ，根据等腰三角形的性质及三角函数的定义用OB 表示出OF 、CF 的长，根据三角函数的定义求解．【题目详解】解：(1)连接OD . ∵DE是⊙O的切线，∴DE⊥OD，即∠ODE=90° .∵AB是⊙O的直径，∴O是AB的中点.又∵D是BC的中点，.∴OD∥AC .∴∠DEC=∠ODE= 90° .∴DE⊥AC .(2)连接AD . ∵OD∥AC，∴OF OD FC EC=.∵AB为⊙O的直径，∴∠ADB= ∠ADC =90° . 又∵D为BC的中点，∴AB=AC.∵sin∠ABC=ADAB=34，设AD= 3x , 则AB=AC=4x, OD= 2x.∵DE⊥AC，∴∠ADC= ∠AED= 90°.∵∠DAC= ∠EAD，∴△ADC∽△AED.∴AD AC AE AD=.∴2AD AE AC=⋅.∴94=AE x. ∴74=EC x.∴87== OF ODFC EC.23、(1)1;(2)1 6【解题分析】（1）设口袋中黄球的个数为x个，根据从中任意摸出一个球是红球的概率为12和概率公式列出方程，解方程即可求得答案；（2）根据题意画出树状图，然后由树状图求得所有等可能的结果与两次摸出都是红球的情况，再利用概率公式即可求得答案；【题目详解】解：（1）设口袋中黄球的个数为x个，根据题意得：21 212x= ++解得：x=1经检验：x=1是原分式方程的解∴口袋中黄球的个数为1个（2）画树状图得：∵共有12种等可能的结果，两次摸出都是红球的有2种情况∴两次摸出都是红球的概率为：21 126=.【题目点拨】本题考查的是用列表法或画树状图法求概率．列表法或画树状图法可以不重复不遗漏的列出所有可能的结果，列表法适合于两步完成的事件，树状图法适合两步或两步以上完成的事件．24、（1）作图见解析（2）∠BDC=72°【解题分析】解：（1）作图如下：（2）∵在△ABC中，AB=AC，∠ABC=72°，∴∠A=180°﹣2∠ABC=180°﹣144°=36°．∵AD是∠ABC的平分线，∴∠ABD=12∠ABC=12×72°=36°．∵∠BDC是△ABD的外角，∴∠BDC=∠A+∠ABD=36°+36°=72°．（1）根据角平分线的作法利用直尺和圆规作出∠ABC的平分线：①以点B为圆心，任意长为半径画弧，分别交AB、BC于点E、F；②分别以点E、F为圆心，大于12EF为半径画圆，两圆相较于点G，连接BG交AC于点D．（2）先根据等腰三角形的性质及三角形内角和定理求出∠A的度数，再由角平分线的性质得出∠ABD的度数，再根据三角形外角的性质得出∠BDC的度数即可．。

2024届广东省深圳市龙岗区龙岗街道新梓校中考五模物理试题请考生注意：1．请用2B铅笔将选择题答案涂填在答题纸相应位置上，请用0．5毫米及以上黑色字迹的钢笔或签字笔将主观题的答案写在答题纸相应的答题区内。

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一、单选题（本大题共10小题，共30分）1．图所示为滑动变阻器的四种接线方法，把它们分别连接在电路中，当滑片P向右移动时，可使通过滑动变阻器的电流变大的接法是A．B．C．D．2．如图是探究焦耳定律的实验装置，通电前，A、B两个U型管的液面相平，通电一段时间后，通过R1、R2的电流分别为I1、I2，则A．I1＝l2，A管中的液面较低B．I1＞I2，A管中的液面较高C．I1＝l2，A管中的液面较高D．I1＜I2，A管中的液面较低3．如图中的四个物态变化实例，属于吸热的是A．初春，湖面上冰化成水B．盛夏，草叶上形成露C．深秋，枫叶上形成霜D．寒冬，河水结成冰4．指尖陀螺是目前很流行的一种玩具，该玩具中间是轴承，轴承内有滚珠，边上有三个用密度较大的金属制作的飞叶，拨动飞叶后，飞叶可以绕轴在指尖上长时间转动（如图所示）．下列分析正确的是A．飞叶转速变慢，惯性减小B．轴承内有滚珠，目的是减小压强C．飞叶被拨动后旋转是因为力能改变物体的运动状态D．陀螺对指尖的压力和指尖对陀螺的支持力是一对平衡力5．关于厨房中的物理现象，以下说法中不正确的是A．拧开醋瓶盖，醋味扑鼻是由于分子不停地做无规则运动B．用高压锅煮饭熟得快是因为高压锅内气压大、水的沸点高C．洗碗时“油花”漂在水面上，其原因是油的密度比水大D．水和酒精充分混合后，总体积小于混合前水和酒精的总体积，说明分子间有间隙6．如图所示,是某游泳爱好者在游泳上岸后站立时的情境示意图，由图可知A．蒸发和沸腾是液化的两种方式B．所有气体在温度降到足够低时都可以液化C．水在蒸发的过程中要吸热，使水和它依附的人体温度上升D．图中游泳爱好者的姿势是为了减少水分的蒸发7．下列估测中，最接近生活实际的是A．一支新铅笔的长约17cmB．南京市夏季平均气温约为50℃C．一瓶500mL 的矿泉水质量为5kgD．复兴号高铁列车运行速度可达350m/s8．在图中，静止小磁针N极指向正确的是A．B． C． D．9．下列能源中，属于可再生能源的是（）A．太阳能B．核能C．煤炭D．石油10．如图所示，电源电压保持不变．闭合电键S，当滑动变阻器滑片P向右移动时，不变的是：①电流表A的示数；②电压表V的示数；③电流表A与A1示数的差值；④电压表V与电流表A示数的比值A．只有①B．只有②C．②③D．②③④二、多选题（本大题共3小题，共12分）11．在探究“凸透镜成像规律”的实验中，当蜡烛、凸透镜及光屏的相对位置如图所示时，恰能在光屏上得到一清晰的像；若保持透镜位置不变，将蜡烛和光屏的位置对换，发现在光屏上仍能成一清晰的像，对于此时像的性质判断正确的是（）A．一定是缩小的像B．一定是放大的像C．一定是倒立的像D．一定是正立的像12．如图所示，从车箱顶的A处有一小球自由落下，结果落在底板上的B处，则此时该车箱所处的运动状态可能是（）A．匀速向左运动B．向左加速运动C．匀速向右运动D．向右减速运动13．如图所示的甲、乙两个电路中，闭合开关后，输电线因电流过大而燃烧起来．下列说法中正确的是A．甲电路中各用电器在工作时是互相影响的B．甲电路中输电线电流过大的原因可能是用电器的总功率过大C．乙电路中输电线电流过大的原因是短路D．乙电路中输电线电流过大会烧毁灯泡三、填空题（本大题共5小题，共10分）14．小明同学在课外研究“弹簧的伸长量Δx与所受拉力F大小的关系”实验中，在弹性限度内，通过测量得到了如表所示的实验数据，根据表中实验数据可归纳出：在弹性限度内，弹簧的伸长量Δx与所受拉力F的大小关系为Δx=_____________；表中第6次实验受到的拉力F大小为_________N.实验次数 1 2 3 4 5 6 7F/N 0 0.5 1 1.5 2 3Δx/cm 0 2 4 6 8 10 1215．如图是茜茜家的电能表，她家同时使用的用电器总功率不超过______W．茜茜打开一台“220V 40W”的电风扇（其它用电器均未工作），当电风扇工作半小时，电能表的转盘转______转．16．里约奥运中国女排姑娘团结协作，顽强拼搏逆转夺冠，振奋国人．如图所示比赛中头号功臣朱婷飞身跃起重扣，球砸在对方界内，这是因为力可以改变物体的_____，球在落向地面的过程中，它的惯性_____，重力势能_____．（后两空均选填“改变”或“不变”）．17．如图是城市亮化工程中，葫芦岛安装的一种新型太阳能路灯，太阳能电池将太阳能转化为_____能提供给路灯，太阳能属于_____（填“可再生”或“不可再生”）能源。

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Ⅰ. 单项选择1、—You look so sad. What happened?一The exam to be much harder than I thought.A．broke out B．carried out C．put out D．turned out2、I will go to the park if it ________ tomorrow.A．don’t rain B．won’t rain C．doesn’t rain D．didn't rain3、______ wonderful speech Emma Watson has given at the US conference!A．What B．How C．What a D．How a4、If our government pay attention to the safety of food, our health in danger.A．isn’t; is B．doesn’t; will beC．won’t; is D．isn’t; will be5、—Shall we go out for Chinese food or Western food?—I would rather _____ Chinese food. I think Chinese food looks nice and it tastes delicious.A．/ B．have C．having D．to have6、We all know that learning a foreign language time and effort.A．reduces B．requires C．removes D．repeats7、I’m very tired and really f eel like ______.A．to rest B．rest C．resting D．to resting8、---The pen looks nice. Who bought it for you?---It’s a birthday present from my mother. I like it very much and it writes very.A．completely B．properly C．rapidly D．smoothly9、________it’s Sunday tomorrow, we have to go to school.A．Though B．Since C．As D．Because10、In China, about ___________ of people live in the country.A．three fifth B．third fifthC．three fifths D．three fivesⅡ. 完形填空11、When I woke up, I was surprised to discover that I was in in my own room. Somebody had put me there when I was 1 . The same had happened to Ned and Conseil. Capital Nemo did not 2 until about two o’clock. When he came out in front of us, he didn’t explain anything.“Are you a doctor?” he asked me. 3 had studied medicine in Paris. When I told him that, he asked me to help one of his men. I followed him to another 4 .“He is going to die soon,” I said. “ 5 can save him.” Tears filled Capital Nemo’s eyes, and he asked me t o leave the room first.The next day, he 6 me to go with him for another walk under the water. I agreed, and my 7 friends decided to come, too. We went out and found that we were not on sand but on coral(珊瑚).We used our lights to go 8 into the ocean. Some of the crew had come with us. Four of them 9 the coffin(棺材) of the man who had died. We walked for two hours and stopped 10 we reached 300 meters. This is where coral begins to 11 . Some of the crew had brought tools with them, and they dug a hole in the coral. They placed the coffin in it. Then, they 12 the coffin with rocks. I could see that there had been other burials(埋葬) here 13 . We returned to the Nautilus. “Your 14 friend is safe from sharks,” I sai d to Capital Nemo.“And from men!” he added 15 .I began to think that Nemo was not just keeping away from humans in his Nautilus. He was planning revenge(复仇).1．A．asleep B．awake C．hungry D．thirsty2．A．attack B．attend C．act D．appear3．A．He B．They C．I D．We4．A．boat B．room C．hole D．ocean5．A．Something B．Everything C．Nothing D．Anything6．A．allowed B．ordered C．invited D．refused7．A．two B．three C．four D．five8．A．slower and slower B．faster and fasterC．higher and higher D．deeper and deeper9．A．took B．moved C．carried D．brought10．A．while B．when C．since D．until11．A．begin B．build C．find D．form12．A．filled B．covered C．hid D．built13．A．at present B．so far C．in the past D．in the future14．A．living B．dead C．lively D．dying15．A．happily B．sadly C．angrily D．calmlyⅢ.语法填空12、阅读下面材料，在空白处填入适当的内容（1 个单词）或括号内单词的正确形式。

2020-2021学年初三第五次月考数学试卷一、选择题（本大题共 10 小题，每小题 3 分，共 30 分，每小题有四个选项，其中只有一个是正确的）1.有理数2，1，﹣1，0中，最小的数是（）A．2B．1C．﹣1D．02.下列计算正确的是（）A. a2+a3=a5B. a6÷a3=a2C. (a+b)2=a2+b2D. (−2a3)2=4a63.下列四个标志中.既是轴对称图形又是中心对称图形的是（）A. B. C. D.4.将如图所示的正方体的展开图重新折叠成正方体后，和“应”字相对的面上的汉字是（）A. 静B. 沉C. 冷D. 着5.数字 56000000 用科学记数法可以表示为（）A. 5.6×106B. 5.6×107C. 5.6×108D. 56×1066.下列命题是真命题的是（）A. 两个锐角的和还是锐角；B. 全等三角形的对应边相等；C. 同旁内角相等，两直线平行；D. 等腰三角形既是轴对称图形，又是中心对称图形．7.如图，小敏同学想测量一棵大树的高度．她站在B处仰望树顶，测得仰角为30°，再往大树的方向前进4m，测得仰角为60°，已知小敏同学身高（AB）为1.6m，则这棵树的高度为（）（结果精确到0.1m，√3≈1.73）．A. 3.5mB. 3.6mC. 4.3mD. 5.1m8.一组数据4，4，5，5，x，6，7的平均数是5，则这组数据的众数和中位数分别是（）A. 4，5B. 4，4C. 5，4D. 5，5，反比9.如图，O为坐标原点，四边形OACB是菱形，OB在x轴的正半轴上，sin∠AOB= 45在第一象限内的图象经过点A，与BC交于点F，则△AOF的面积等于（）例函数y= 48xA. 60B. 80C. 30D. 40D E 10.如图，在正方形ABCD 中，E 、F 分别是BC 、CD 上的点，且∠EAF=45°，AE 、AF 分别交BD 于M 、N ，连接EN 、EF ，有以下结论： ①△ABM∽△NEM；②△AEN 是等腰直角三角形；③当AE=AF 时，BE EC =2−√2 ；④BE+DF=EF；⑤若点F 是DC 的中点，则CE =23 CB ．其中正确的个数是（ ）A. 2B. 3C. 4D. 5二、填空题（本大题共 5 小题，每小题 3 分，共 15 分）11.分解因式 7x 3−63x = ________.12.三张完全相同的卡片上分别写有函数y=3x ， y =3x ，y=x 2 ， 从中随机抽取一张，则所得卡片上函数的图象在第一象限内y 随x 的增大而增大的概率是________.13.某校要组织一次篮球赛邀请赛，参赛的每两个队之间都要比赛一场，根据场地和时间条件，赛程计划安排2天，每天安排5场比赛，设比赛组织者应邀请x 个队参赛，则x 满足的方程为________.14.如图，在 ▱ABCD 中，E 为边AD 上一点，且 AE:DE =3:2 ，连接 CE,BD 交于点F ，连接 BE ，若 S △DEF =4 ，则 S △BCE = ________.15.如图，正方形ABCD 中，AB=52,点O 是BC 边的中点，点E 是正方形内一动点，OE=2，连接DE ，将线段DE 绕点D 逆时针旋转90°得DF ，连接AE 、CF ，则线段OF 长的最小值为_____________.三、解答题（本大题共 7 小题，其中第 16 题6 分，第 17 题 6 分，第 18 题 8 分，第 19 题7 分，第 20 题 8 分，第 21 题 10 分，第 22 题 10 分，共 55 分）16.计算：332)21()602(27220210----+-COS17.解不等式组：．18.某学校为了了解学生自主学习、合作交流的情况，对部分学生进行了为期半个月的跟踪调查，并将调查结果分类，A：特别好；B：好；C：一般；D：较差．现将调查结果绘制成以下两幅不完整的统计图，请你根据统计图解答下列问题：（1）本次调查中，一共调查了名同学，其中C类女生有名；（2）将下面的条形统计图补充完整；（3）为了共同进步，学校想从被调查的A类和D类学生中分别选取一位同学进行“一帮一”互助学习，请用列表法或画树形图的方法求出所选两位同学恰好是一位男生、一位女生的概率．19．如图，在矩形ABCD中，对角线AC的垂直平分线分别与边AB和边CD的延长线交于点M，N，与边AD交于点E，垂足为点O．（1）求证：△AOM≌△CON；（2）若AB＝3，AD＝6，求AE的长．20.某小微企业为加快产业转型升级步伐，引进一批A，B两种型号的机器．已知一台A型机器比一台B型机器每小时多加工2个零件，且一台A型机器加工80个零件与一台B型机器加工60个零件所用时间相等．（1）每台A，B两种型号的机器每小时分别加工多少个零件？（2）如果该企业计划安排A，B两种型号的机器共10台一起加工一批该零件，为了如期完成任务，要求两种机器每小时加工的零件不少于72件，同时为了保障机器的正常运转，两种机器每小时加工的零件不能超过76件，那么A，B两种型号的机器可以各安排多少台？21.如图1所示，以点M（﹣1，0）为圆心的圆与y轴，x轴分别交于点A，B，C，D，与⊙M相切于点H的直线EF交x轴于点E（﹣5，0），交y轴于点F（0，335-）．（1）求⊙M的半径r；（2）如图2所示，连接CH，弦HQ交x轴于点P，若cos∠QHC＝，求的值；（3）如图3所示，点P为⊙M上的一个动点，连接PE，PF，求PF+PE的最小值．22.如图，点B、C分别在x，y轴的正半轴上，OB，OC的长分别为x2﹣8x+12＝0的两个根，且OC＞OB，将△COB绕点O逆时针旋转90°，点C落在x轴负半轴上的点A处，点B落在y轴正半轴的点D处，连接AC．（1）求过A，B，C三点的抛物线的函数解析式；（2）直接写出tan∠CAD的值；（3）点P从点C以每秒2个单位长度的速度沿CA运动到点A，点Q从点O以每秒1个单位长度的速度沿OC运动到点C，连接PQ．求S△CPQ的最大值，及此时点P的坐标；（4）M是第二象限内一点，在平面内是否存在点N，使得以A，D，M，N为顶点的四边形是正方形？若存在，请直接写出点N的坐标，若不存在，请说明理由．备用图。

2024届广东省深圳市翠园中学中考五模英语试题含答案考生请注意：1．答题前请将考场、试室号、座位号、考生号、姓名写在试卷密封线内，不得在试卷上作任何标记。

2．第一部分选择题每小题选出答案后，需将答案写在试卷指定的括号内，第二部分非选择题答案写在试卷题目指定的位置上。

3．考生必须保证答题卡的整洁。

考试结束后，请将本试卷和答题卡一并交回。

Ⅰ. 单项选择1、—Have you returned the book to the library ____?—Yes，I have ____ returned it.A．yet，ever B．ever，alreadyC．already，yet D．yet，already2、We______TV from seven to nine last night.A．were watching B．will C．watched D．watch3、—Don’t throw rubbish everywhere, Please. Building a civilize(文明的)city is our duty.—.A．OK,I will B．Y ou are joking C．Take it easy D．Sorry, I won't4、What ______news made them so down? I'm worried about them.A．sad B．happy C．exciting D．good5、– What else do you want?-- ________ else. I think I have got everything ready.A．Something B．NothingC．Anything D．Everything6、— __________did you make your dream come true ?—By working hard all the time.A．What B．WhenC．How D．Why7、She ________on the phone,so I just smiled at her and went away.A．has talked B．was talking C．will talk D．is talking8、—_____ you _____ your homework yet?—Yes, I _____ it ten minutes ago.A．Did; do; finished B．Have; done; have finishedC．Have; done; finished D．Will; do; finish9、---Hello! I’d like to speak to Mr Smith?---Please hold on and I’ll _______ your call to him.A．look through B．put through C．run through D．go through10、Soccer has become a wonderful game for school children. It great exercise, such as running and kicking .A．expresses B．provides C．improves D．promisesⅡ. 完形填空11、When Roy entered the tiny bookshop, Mr. Banner looked up at him, annoyed.‘‘You’re late again,” he said.“Sorry,” Roy said. “I had a lot of 1 to do.”Mr. Banner rolled his eyes and walked away.Roy’s mother had a tiny apartment but a big 2 . She was so kind-hearted. Ever since Roy could 3 , a lot of orphans (孤儿) had lived with them. So he had to help in the house.Roy worked his way up one side of a narrow aisle (过道) and back down the other. Every now and then（不时地）, he glanced（瞥一眼）at Mr. Banner who gradually fell into 4 in his chair. Roy walked 5 to the back of the aisle and reached for the top shelf. He carefully 6 a book The Little Book of Fairy Tales, then sat on the floor and opened it. Within minutes, Roy went into a world of giants, queens and talking wolves. Every day, Roy got 7 in the fairy-tale world while Mr. Banner was dreaming in his chair. Every day he would find a new place to put the book so that no one could see it and 8 it.Roy felt bad about 9 the book. He thought Mr. Banner would be 10 if he knew. But Roy loved thosefairy-tale worlds. Most importantly, he could tell the children the fairy tales in the book and they always listened to him with great 11 .Then one day, something 12 happened. Mr. Banner told Roy he had 13 the bookshop and then he showed him a book. It was The Little Book of Fairy Tales. “Maybe those kids at home will like this,” Mr. Banner said. Mr. Banner had known his 14 all along! Roy tried to say “Thank you,” but his voice was too 15 . He took a deep breath, and said loudly, “Thank you.” The old man smiled, “You’re welcome.”1．A．homework B．reasons C．housework D．problems2．A．heart B．head C．decision D．smile3．A．imagine B．remember C．think D．guess4．A．silence B．thought C．sadness D．sleep5．A．proudly B．shyly C．quietly D．calmly6．A．took down B．turned down C．showed off D．knocked off7．A．lost B．hurt C．sick D．tired8．A．borrow B．steal C．discuss D．buy9．A．reading B．hiding C．copying D．borrowing10．A．mad B．thankful C．frightened D．pleased11．A．effort B．interest C．purpose D．help12．A．similar B．rare C．bad D．unfair13．A．sold B．locked C．owned D．broken14．A．history B．way C．dream D．secret15．A．clear B．soft C．tired D．hopelessⅢ. 语法填空12、Ⅶ短文填词Jahkil Jackson remembered going with his family a few years ago to give out food to the homeless. He wanted to do more for them as he1．(become) sad to see how little the people had.While talking with his parents about the ways to help, Jahkil came up with the 2．[aɪ'dɪə] about “blessing bags” — bags filled with 3．['deili] things such as socks and hand cleaner. That got Jahkil 4．(excite). He started making bags and giving them out to the homeless. When people heard about his project, they gave 5．things or money. Volunteers helped fill the 6．. Jahk handed thousands of blessing bags to the homeless from 2016 to 2018. Jahkil’s hard work has made him 7．['feɪməs]. The president even wrote that “It is one of the stories that reminds us what is best about America.”Jahkil started an organization8．(call) Project I Am to continue helping people in need and he hoped to inspire other kids to find more ways to make a9．(different). “They don’t have to w ait 10．they become adults. They can do it right now.” he said,Ⅳ. 阅读理解A13、Sometimes, you might not finish drinking your glass of water before you go to bed. You might want to drink it the next morning. But have you ever wondered if it is still safe to drink?“If you have clean water in a clean glass, you’re fine to drink it for a day or two,” Kellogg Schwab from the Johns Hopkins University Water Institute in the US told Time.But you may find that it tastes strange. That’s because after about 12 hours, the carbon dioxide in the air reacts with the water in your glass, slightly lowering its pH level.Also, there might be more microorganisms in your water if you leave it out overnight. Microorganisms grow more quickly at room temperature. These microorganisms can stick to your glass. They can make you get sick more easily. But as long as you clean your glasses very often, this will not be a problem.In countries like the US and UK, people often drink water directly from the tap . This is OK – however, tap watercannot be stored for a long time. Most experts say that tap water has a shelf life of six months, according to Zane Satterfield from West Virginia University, US. After six months, there is less chlorine in the water and bacteria start to grow. You’d better not drink the water otherwise you may get sick.What about plastic water bottles? Schwab said people should be careful with them. If you leave a bottle of water under the sun or in a car for a long period of time, the plastic produces a chemical called BPA．This chemical can cause heart disease and cancer.1．According to the passage,the water in the glass tastes strange after about_______.A．12 hours B．2 hoursC．a day and a night D．two days2．Why does the water taste strange after a night?A．Because there is less chlorine in the water.B．Because the glasses are dirty after a night.C．Because the plastic produces a chemical called BPAD．Because the carbon dioxide in the air reacts with the water , lowering its pH level.3．The underlined word “ microorganisms”in the fourth paragraph probable mean “________”A．漂浮物B．微生物C．抗生素D．废弃物4．Which of the following is not true?A．Y ou may get sick more easily after you drink the water overnight.B．It’s not a right way to leave a bottle of water under the sun for a long time.C．Many people drink water directly from the tap because of no bacteria in the running water.D．Kellogg Schwab advised us to drink clean water in a clean glass for a day or two.B14、Can animals be made to work for us? Some scientists think that one day animals may be taught to do a number of simple jobs. They say that in a film or on TV .We may see elephants, or monkeys, dogs, bears, or other animals doing a lot of things. If you watch carefully, you may find that those animals are always given something to eat in return(作为回报) for doing them. The scientists say that many different animals may be taught to do a number of simple jobs if they know they will get something to eat in return.Of course, as we know, dogs can be used to guard a house, and elephants can be used to do some heavy jobs. And we can also teach animals to work in factories. Apes(猿猴), for example, have been used in America to help make cars and scientists believe that these large monkeys may one day get in crops(收割庄稼) and even drive trains.1．Elephants can be used to do some heavy jobs because ____.A．they can eat a lot B．they are very heavy C．they are very strong2．____ can be trained to work for us.A．Only a few animals B．A lot of animals C．Few animals3．Many scientists are working hard to ____.A．make monkeys get in crops and drive trainsB．make monkeys guard houses like dogsC．make bears get in crops4．Many different animals may be taught to do some simple jobs if ____.A．they have enough food to eatB．they are sent to schoolC．they learn they will get something to eat in return after doing themC15、It’s so beautiful outside that spending the day in the office would be very boring. So why not take the vacations(假期)off? A new survey(调查)found that 31﹪of U.S workers don’t always take all of their vacation days. Americans have 12 vacation days on average(平均)each year, but they give back an average of 3 vacation days each year.So why don’t they use up their vacation days? Some say they would rather get money back for t heir unused days; some busy workers say they just can’t leave their work. Americans have fewer vacation days than workers in any other country surveyed.The French take their vacations seriously. French workers get an average of 39 vacation days, and 40﹪plan to take at least one there-to-four-week vacation.Workers in Sweden receive an average of 25 vacation days a year, but they can’t find time to use them all. More workers there return vacation days than any other country surveyed.British workers have the longest working week in Europe(欧洲),with 23 vacation days --the shortest vacation. So they feel overworked.75﹪say their weekends or vacations are too short and 40﹪wouldsacrifice a day’s pay(工资)for one more vacation day.1．____________ U.S workers don’t always take all of their vacation days.A．All B．Most C．Some D．Few2．How many vacation days do Americans have on average each year in fact?A．9 B．12 C．15 D．233．Which country has the most workers working during the vacation days?A．America. B．France. C．Sweden. D．Great Britain.4．What does the word “sacrifice” mean in the last sentence?A．Use up. B．Put up. C．Take up. D．Give up.5．Which of the following is true?A．Some American workers are too busy to leave their work.B．French workers can take one Three-to-four week days.C．Swedish workers can enjoy all of their vacation days.D．British workers have the shortest vacation days of all the countries surveyed.D16、阅读下列短文，从每题A、B、C、D四个选项中，选出一个能回答所提问题或完成所给句子的最佳答案。

2021-2022中考数学模拟试卷注意事项1．考试结束后，请将本试卷和答题卡一并交回．2．答题前，请务必将自己的姓名、准考证号用0．5毫米黑色墨水的签字笔填写在试卷及答题卡的规定位置．3．请认真核对监考员在答题卡上所粘贴的条形码上的姓名、准考证号与本人是否相符．4．作答选择题，必须用2B 铅笔将答题卡上对应选项的方框涂满、涂黑；如需改动，请用橡皮擦干净后，再选涂其他答案．作答非选择题，必须用05毫米黑色墨水的签字笔在答题卡上的指定位置作答，在其他位置作答一律无效．5．如需作图，须用2B 铅笔绘、写清楚，线条、符号等须加黑、加粗．一、选择题（共10小题，每小题3分，共30分）1．小王抛一枚质地均匀的硬币，连续抛4次，硬币均正面朝上落地，如果他再抛第5次，那么硬币正面朝上的概率为( )A ．1B ．12C ．14D ．152．如图所示，将矩形纸片ABCD 折叠，使点D 与点B 重合，点C 落在点C′处，折痕为EF ，若∠ABE=20°，那么∠EFC′的度数为（ ）A ．115°B ．120°C ．125°D ．130°3．边长相等的正三角形和正六边形的面积之比为（ ）A ．1∶3B ．2∶3C ．1∶6D ．1∶64．如图所示，点E 在AC 的延长线上，下列条件中能判断AB ∥CD 的是( )A ．∠3=∠AB ．∠D=∠DCEC ．∠1=∠2D ．∠D+∠ACD=180°5．下列运算正确的是（ ）A ．2510a a a ⋅=B ．326(3)6a a =C ．222()a b a b +=+D ．2(2)(3)6a a a a6．已知二次函数y ＝ax 2+bx+c 的图象如图所示，有以下结论：①a+b+c ＜0；②a ﹣b+c ＞1；③abc ＞0；④4a ﹣2b+c ＜0；⑤c ﹣a ＞1，其中所有正确结论的序号是（ ）A．①②B．①③④C．①②③⑤D．①②③④⑤7．如图，平行四边形ABCD的周长为12，∠A=60°，设边AB的长为x，四边形ABCD的面积为y，则下列图象中，能表示y与x函数关系的图象大致是（）A．B．C．D．8．6的绝对值是（）A．6 B．﹣6 C．16D．169．下列4个点，不在反比例函数图象上的是（）A．（2，－3）B．（－3，2）C．（3，－2）D．（3，2）10．计算﹣8+3的结果是（）A．﹣11 B．﹣5 C．5 D．11二、填空题（本大题共6个小题，每小题3分，共18分）11．从1，2，3，4，5，6，7，8这八个数中，任意抽取一个数，这个数恰好是合数的概率是__________．12．已知某二次函数图像的最高点是坐标原点，请写出一个符合要求的函数解析式：_______．13．如图，是用三角形摆成的图案，摆第一层图需要1个三角形，摆第二层图需要3个三角形，摆第三层图需要7个三角形，摆第四层图需要13个三角形，摆第五层图需要21个三角形，…，摆第n层图需要_____个三角形．14．八位女生的体重（单位：kg）分别为36、42、38、40、42、35、45、38，则这八位女生的体重的中位数为_____kg．15．如图，在平面直角坐标系中，矩形OABC的两边OA，OC分别在x轴和y轴上，并且OA＝5，OC＝1．若把矩形OABC绕着点O逆时针旋转，使点A恰好落在BC边上的A1处，则点C的对应点C1的坐标为_____．16．如图，已知点E 是菱形ABCD 的AD 边上的一点，连接BE 、CE ，M 、N 分别是BE 、CE 的中点，连接MN ，若∠A=60°，AB=4，则四边形BCNM 的面积为_____．三、解答题（共8题，共72分）17．（8分）26?32--（12）-1+3tan60° 18．（8分）某汽车销售公司6月份销售某厂家的汽车，在一定范围内，每部汽车的进价与销售有如下关系，若当月仅售出1部汽车，则该部汽车的进价为27万元，每多售一部，所有出售的汽车的进价均降低0.1万元/部．月底厂家根据销售量一次性返利给销售公司，销售量在10部以内，含10部，每部返利0.5万元，销售量在10部以上，每部返利1万元．① 若该公司当月卖出3部汽车，则每部汽车的进价为 万元；② 如果汽车的销售价位28万元/部，该公司计划当月盈利12万元，那么要卖出多少部汽车？（盈利=销售利润+返利）19．（8分）数学兴趣小组为了研究中小学男生身高y （cm ）和年龄x （岁）的关系，从某市官网上得到了该市2017年统计的中小学男生各年龄组的平均身高，见下表：如图已经在直角坐标系中描出了表中数据对应的点，并发现前5个点大致位于直线AB 上，后7个点大致位于直线CD 上． 年龄组x78 9 10 11 12 13 14 15 16 17男生平均身高y115.2 118.3 122.2 126.5 129.6 135.6 140.4 146.1 154.8 162.9 168.2 （1）该市男学生的平均身高从 岁开始增加特别迅速．（2）求直线AB 所对应的函数表达式．（3）直接写出直线CD 所对应的函数表达式，假设17岁后该市男生身高增长速度大致符合直线CD 所对应的函数关系，请你预测该市18岁男生年龄组的平均身高大约是多少？20．（8分）桌面上放有4张卡片，正面分别标有数字1，2，3，4，这些卡片除数字外完全相同．把这些卡片反面朝上洗匀后放在桌面上，甲从中任意抽出一张，记下卡片上的数字后仍放反面朝上放回洗匀，乙从中任意抽出一张，记下卡片上的数字，然后将这两数相加．（1）请用列表或画树状图的方法求两数和为5的概率；（2）若甲与乙按上述方式做游戏，当两数之和为5时，甲胜；反之则乙胜；若甲胜一次得12分，那么乙胜一次得多少分，才能使这个游戏对双方公平？21．（8分）两个全等的等腰直角三角形按如图方式放置在平面直角坐标系中，OA在x轴上，已知∠COD=∠OAB=90°，OC=2，反比例函数y=kx的图象经过点B．求k的值．把△OCD沿射线OB移动，当点D落在y=kx图象上时，求点D经过的路径长．22．（10分）如图，在菱形ABCD中，E、F分别为AD和CD上的点，且AE=CF，连接AF、CE交于点G，求证：点G在BD上．23．（12分）已知抛物线y=ax2+ c(a≠0)．（1）若抛物线与x轴交于点B(4，0)，且过点P(1，–3)，求该抛物线的解析式；（2）若a>0，c =0，OA、OB是过抛物线顶点的两条互相垂直的直线，与抛物线分别交于A、B 两点，求证：直线AB恒经过定点(0，1a )；（3）若a>0，c <0，抛物线与x轴交于A，B两点(A在B左边)，顶点为C，点P在抛物线上且位于第四象限．直线PA、PB与y轴分别交于M、N两点．当点P运动时，OCOM ON是否为定值？若是，试求出该定值；若不是，请说明理由．24．在直角坐标系中，过原点O及点A（8，0），C（0，6）作矩形OABC、连结OB，点D为OB的中点，点E是线段AB上的动点，连结DE，作DF⊥DE，交OA于点F，连结EF．已知点E从A点出发，以每秒1个单位长度的速度在线段AB上移动，设移动时间为t秒．如图1，当t=3时，求DF的长．如图2，当点E在线段AB上移动的过程中，∠DEF的大小是否发生变化？如果变化，请说明理由；如果不变，请求出tan∠DEF的值．连结AD，当AD将△DEF分成的两部分的面积之比为1：2时，求相应的t的值．参考答案一、选择题（共10小题，每小题3分，共30分）1、B【解析】直接利用概率的意义分析得出答案．【详解】解：因为一枚质地均匀的硬币只有正反两面，所以不管抛多少次，硬币正面朝上的概率都是12， 故选B ．【点睛】 此题主要考查了概率的意义，明确概率的意义是解答的关键．2、C【解析】分析：由已知条件易得∠AEB=70°，由此可得∠DEB=110°，结合折叠的性质可得∠DEF=55°，则由AD ∥BC 可得∠EFC=125°，再由折叠的性质即可得到∠EFC′=125°.详解：∵在△ABE 中，∠A=90°，∠ABE=20°，∴∠AEB=70°，∴∠DEB=180°-70°=110°，∵点D 沿EF 折叠后与点B 重合，∴∠DEF=∠BEF=12∠DEB=55°， ∵在矩形ABCD 中，AD ∥BC ，∴∠DEF+∠EFC=180°，∴∠EFC=180°-55°=125°，∴由折叠的性质可得∠EFC′=∠EFC=125°.故选C.点睛：这是一道有关矩形折叠的问题，熟悉“矩形的四个内角都是直角”和“折叠的性质”是正确解答本题的关键. 3、C【解析】解：设正三角形的边长为1a ，则正六边形的边长为1a ．过A 作AD ⊥BC 于D ，则∠BAD =30°，AD =AB •cos30°=1a ，∴S △ABC =12BC •AD =12×1a a 1．连接OA、OB，过O作OD⊥AB．∵∠AOB=3606=20°，∴∠AOD=30°，∴OD=OB•cos30°=1a•323a，∴S△ABO=12BA•OD=12×1a×331，∴正六边形的面积为：31，3a1：31=1：2．故选C．点睛：本题主要考查了正三角形与正六边形的性质，根据已知利用解直角三角形知识求出正六边形面积是解题的关键．4、C【解析】由平行线的判定定理可证得，选项A，B，D能证得AC∥BD，只有选项C能证得AB∥CD．注意掌握排除法在选择题中的应用．【详解】A.∵∠3=∠A，本选项不能判断AB∥CD，故A错误；B.∵∠D=∠DCE，∴AC∥BD.本选项不能判断AB∥CD，故B错误；C.∵∠1=∠2，∴AB∥CD.本选项能判断AB∥CD，故C正确；D.∵∠D+∠ACD=180°，∴AC ∥BD .故本选项不能判断AB ∥CD ，故D 错误.故选：C.【点睛】考查平行线的判定，掌握平行线的判定定理是解题的关键.5、D【解析】【分析】根据同底数幂的乘法、积的乘方、完全平方公式、多项式乘法的法则逐项进行计算即可得.【详解】A. 257a a a ⋅= ，故A 选项错误，不符合题意；B. ()2363a 9a =，故B 选项错误，不符合题意；C. ()222a b a 2ab b +=++ ，故C 选项错误，不符合题意；D. ()()2a 2a 3a a 6+-=--，正确，符合题意， 故选D.【点睛】本题考查了整式的运算，熟练掌握同底数幂的乘法、积的乘方、完全平方公式、多项式乘法的运算法则是解题的关键.6、C【解析】根据二次函数的性质逐项分析可得解.【详解】解：由函数图象可得各系数的关系：a ＜0，b ＜0，c ＞0，则①当x=1时，y=a+b+c ＜0，正确；②当x=-1时，y=a-b+c ＞1，正确；③abc ＞0，正确；④对称轴x=-1，则x=-2和x=0时取值相同，则4a-2b+c=1＞0，错误；⑤对称轴x=-2b a=-1，b=2a ，又x=-1时，y=a-b+c ＞1，代入b=2a ，则c-a ＞1，正确． 故所有正确结论的序号是①②③⑤．故选C7、C【解析】过点B作BE⊥AD于E，构建直角△ABE，通过解该直角三角形求得BE的长度，然后利用平行四边形的面积公式列出函数关系式，结合函数关系式找到对应的图像.【详解】如图，过点B作BE⊥AD于E.∵∠A＝60°，设AB边的长为x，∴BE＝AB∙sin60°＝32x.∵平行四边形ABCD的周长为12，∴AB＝12（12－2x）＝6－x，∴y＝AD∙BE＝（6－x）×32x＝﹣23332x x＋（0≤x≤6）.则该函数图像是一开口向下的抛物线的一部分，观察选项，C符合题意.故选C.【点睛】本题考查了二次函数的图像，根据题意求出正确的函数关系式是解题的关键.8、A【解析】试题分析：1是正数，绝对值是它本身1．故选A．考点：绝对值．9、D【解析】分析：根据得k=xy=-6，所以只要点的横坐标与纵坐标的积等于-6，就在函数图象上．解答：解：原式可化为：xy=-6，A、2×（-3）=-6，符合条件；B、（-3）×2=-6，符合条件；C、3×（-2）=-6，符合条件；D、3×2=6，不符合条件．故选D．10、B【解析】绝对值不等的异号加法，取绝对值较大的加数符号，并用较大的绝对值减去较小的绝对值．互为相反数的两个数相加得1．依此即可求解．【详解】解：−8＋3＝−2．故选B．【点睛】考查了有理数的加法，在进行有理数加法运算时，首先判断两个加数的符号：是同号还是异号，是否有1．从而确定用那一条法则．在应用过程中，要牢记“先符号，后绝对值”．二、填空题（本大题共6个小题，每小题3分，共18分）11、38． 【解析】根据合数定义，用合数的个数除以数的总数即为所求的概率．【详解】∵在1，2，3，4，5，6，7，8这八个数中，合数有4、6、8这3个，∴这个数恰好是合数的概率是38． 故答案为：38． 【点睛】本题考查了概率的求法．如果一个事件有n 种可能，而且这些事件的可能性相同，其中事件A 出现m 种结果，那么事件A 的概率P （A ）m n =；找到合数的个数是解题的关键． 12、2y x =-等【解析】根据二次函数的图象最高点是坐标原点，可以得到a ＜0，b=0，c=0，所以解析式满足a ＜0，b=0，c=0即可．【详解】解：根据二次函数的图象最高点是坐标原点，可以得到a ＜0，b=0，c=0，例如：2y x =-.【点睛】此题是开放性试题，考查函数图象及性质的综合运用，对考查学生所学函数的深入理解、掌握程度具有积极的意义.13、n 2﹣n+1【解析】观察可得，第1层三角形的个数为1，第2层三角形的个数为3，比第1层多2个；第3层三角形的个数为7，比第2层多4个；…可得，每一层比上一层多的个数依次为2，4，6，…据此作答．【详解】观察可得,第1层三角形的个数为1,第2层三角形的个数为22−2+1=3，第3层三角形的个数为32−3+1=7，第四层图需要42−4+1=13个三角形摆第五层图需要52−5+1=21.那么摆第n层图需要n2−n+1个三角形。

2020-2021学年初三第五次月考数学试卷参考答案及评分标准一、 选择题（30分）1 2 3 4 5 6 7 8 9 10 CDCABBDADC二、 填空题 （15分）11. 7x(x+3)(x-3) 12.3213. x(x−1)2=10 14. 35 15. 22516. -3-----------------------------6分17. 解：，解①得x ＜2， -----------------------------2分 解②得x ≥﹣1， -----------------------------4分 则不等式组的解集是﹣1≤x ＜2． -----------------------------6分18. 解：（1）样本容量：25÷50%＝50，-----------------------------2分C 类总人数：50×40%＝20人，C 类女生人数：20﹣12＝8人．-----------------------4分故答案为：50，8；（2）补全条形统计图如下：----------------------5分 （3）将A 类与D 类学生分为以下几种情况：男A 女A 1 女A 2 男D 男A 男D女A 1男D女A 2男D女D女D 男A 女A 1女D 女A 2女D∴共有6种结果，每种结果出现可能性相等，∴两位同学恰好是一位男同学和一位女同学的概率为：P （一男一女）＝＝．-------8分19. 解：（1）∵MN 是AC 的垂直平分线， ∴AO ＝CO ，∠AOM ＝∠CON ＝90°， ∵四边形ABCD 是矩形， ∴AB ∥CD ， ∴∠M ＝∠N ， 在△AOM 和△CON 中，{∠M =∠N∠AOM =∠CON AO =CO，∴△AOM ≌△CON （AAS ）；——————————3分 （2）如图所示，连接CE ，∵MN 是AC 的垂直平分线， ∴CE ＝AE ，设AE ＝CE ＝x ，则DE ＝6﹣x ， ∵四边形ABCD 是矩形， ∴∠CDE ＝90°，CD ＝AB ＝3， ∴Rt △CDE 中，CD 2+DE 2＝CE 2， 即32+（6﹣x ）2＝x 2， 解得x =154，即AE 的长为154．——————————7分20.解：（1）设每台B型机器每小时加工x个零件，则每台A型机器每小时加工（x+2）个零件，依题意，得：＝，解得：x＝6，经检验，x＝6是原方程的解，且符合题意，∴x+2＝8．答：每台A型机器每小时加工8个零件，每台B型机器每小时加工6个零件．——————————4分（2）设A型机器安排m台，则B型机器安排（10﹣m）台，依题意，得：，解得：6≤m≤8．∵m为正整数，∴m＝6，7，8．答：共有三种安排方案，方案一：A型机器安排6台，B型机器安排4台；方案二：A型机器安排7台，B型机器安排3台；方案三：A型机器安排8台，B型机器安排2台．——————————8分21.解：（1）如图1，连接MH，∵E（﹣5，0），F（0，﹣），M（﹣1，0），∴OE＝5，OF＝，EM＝4，∴在Rt△OEF中，tan∠OEF＝＝，∴∠OEF＝30°，∵EF是⊙M的切线，∴∠EHM＝90°，∴sin∠MEH＝sin30°＝，∴MH＝ME＝2，即r＝2；——————————3分（2）如图2，连接DQ、CQ，MH．∵∠QHC＝∠QDC，∠CPH＝∠QPD，∴△PCH∽△PQD，∴，由（1）可知，∠HEM＝30°，∴∠EMH＝60°，∵MC＝MH＝2，∴△CMH为等边三角形，∴CH＝2，∵CD是⊙M的直径，∴∠CQD＝90°，CD＝4，∴在Rt△CDQ中，cos∠QHC＝cos∠QDC＝，∴QD＝CD＝3，∴；——————————7分（3）连MP，取CM的点G，连接PG，则MP＝2，G（﹣2，0），∴MG＝CM＝1，∴，又∵∠PMG＝∠EMP，∴△MPG∽△MEP，∴，∴PG＝PE，∴PF+PE＝PF+PG，当F，P，G三点共线时，PF+PG最小，连接FG，即PF+PE有最小值＝FG，在Rt△OGF中，OG＝2，OF＝，∴FG＝＝＝．∴PF+PE的最小值为——————————10分22．解：（1）解x2﹣8x+12＝0得：x＝6或2，故点B（2，0）、点C（0，6），由图象的旋转知，点A、D的坐标分别为（﹣6，0）、（0，2）；设抛物线的解析式为y＝ax2+bx+c，将点A、B、C的坐标代入抛物线解析式中得，解得，故抛物线的表达式为y＝﹣x2﹣2x+6；——————————3分（2）过点D作DH⊥AC于点H，则S△ACD＝×CD×AO＝×AC×HD，即×4×6＝××HD，解得HD＝2，根据勾股定理得，AH＝＝＝4，故tan∠CAD＝；——————————5分（3）∵OA＝OC，则∠ACO＝45°，由题意得：PC＝2t，CQ＝6﹣t，则|x P|＝PC•cos45°＝t，则S△CPQ＝×CQ×|x P|＝×t（6﹣t）＝﹣（t2﹣6t），∵﹣＜0，故S△CPQ有最大值，当t＝3时，其最大值为，当t＝3时，PC＝6，点P的纵坐标为6﹣3，故点P（﹣3，6﹣3）；——————————7分（4）①当AD是正方形的对角线时，则正方形为ANDM′，设M′N交AD于R，交x轴于点H，则点R是AD的中点，则点R（﹣3，1），在Rt△AOD中，tan∠DAO＝＝＝，则tan∠RHA＝3，则设直线M′N的表达式为y＝﹣3x+b，将点R的坐标代入上式并解得b＝﹣8，故直线M′N的表达式为y＝﹣3x﹣8，设点N（m，﹣3m﹣8），过点N作x轴的平行线交过点A与y轴的平行线于点G，交y轴于点K，∵∠DNK+∠ANG＝90°，∠ANG+∠NAG＝90°，∴∠NAG＝∠DNK，∵∠NGA＝∠DKN＝90°，AN＝DN，∴△NGA≌△DKN（AAS），∴GN＝DK，即m+6＝2+3m+8，解得m＝﹣2，故点N的坐标为（﹣2，﹣2）；②当AD是正方形的边时，当DN′是边时，同理可得：△DSN′≌△AOD（AAS），∴N'S＝OD＝2，DS＝AO＝6，故点N′（﹣2，8）；当AN是边时，点N对应的是上图中的点M，同理可得，点M（﹣8，6），即点N″（﹣8，6）；综上，点N的坐标为（﹣8，6）、（﹣2，8）、（﹣2，﹣2）．————————10分。

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一、单选题（本大题共15小题，共30分）1．下列实验操作中，正确的是（）A．倾倒液体B．读取液体的体积C．塞紧橡胶塞D．稀释浓硫酸2．二氧化碳的化学性质是初中重要的学习内容，如图所示，烧杯中的溶液是下列哪种物质才能发生化学反应的是（）A．硝酸银溶液B．氯化钙溶液C．碳酸氢钠溶液D．氢氧化钠溶液3．利用溶解度曲线，可以获得许多有关物质溶解度的信息。

下图是a、b两物质的溶解度曲线。

有关叙述正确的是A．a的溶解度大于b的溶解度B．当a物质中混有少量b物质时，可以用蒸发结晶的方法除去bC．10℃时，取相同质量的a、b两物质分别配成饱和溶液所需水的质量是a大于bD．将t℃时a、b的饱和溶液升温至40℃，其溶液中溶质的质量分数为a大于b4．除去下列物质中混有的少量杂质，所用试剂和操作方法均正确的是（）选项物质（括号内为杂质）操作方法A HCl气体（H2O）通过装有氢氧化钠固体的干燥管后收集气体B KCl（MnO2）加适量水充分溶解，过滤、洗涤、干燥C NaCl溶液（Na2CO3）加入过量氯化钙溶液，充分反应后过滤D CaCl2溶液（HCl）加入过量的碳酸钙粉末，充分反应后过滤A．A B．B C．C D．D5．利用下表中的装置进行实验。

有关该实验说法不正确的是( )实验装置实验步骤①将a试管充满二氧化碳，b试管加入紫色石蕊溶液（K处于关闭状态）②密闭下，用针筒将a试管中部分二氧化碳抽出A．用针筒将部分二氧化碳抽出，a试管中气体分子间间隔变大B．打开K，b试管中的液体颜色变红C．打开K，导管E内液面上升D．打开K，发生反应：H2O+CO2==H2CO36．下列图示实验能达到目的的是A ．探究溶剂种类对物质溶解性的影响B ．探究铁生锈的条件与O2、H2O 有关C ．鉴别NH4Cl 溶液和NH4NO3溶液D ．比较铁与锌的活动性强弱7．下列说法错误的是（）A．生铁含碳量大于钢B．铜可以作导线因为它具有良好的导电性C．铁钉在潮湿的空气中容易生锈D．工业上用高炉炼铁得到的产品为纯铁8．下列知识整理的内容完全正确的一组是（）A．实验分析B．物质鉴别配制一定质量分数溶液时，质量分数偏小﹣﹣量取水时俯视凹液面最低处测定空气中氧气含量时，结果偏小﹣﹣装置漏气氯化铵、尿素和氯化钾三种化肥﹣﹣加入熟石灰粉末，研磨NaCl、HCl、KOH三中无色溶液﹣﹣加入无色酚酞C．化学与生活D．化学与安全蔬菜、水果﹣﹣富含维生素人体缺氟﹣﹣青少年会引起佝偻病酒精灯酒精洒出燃烧﹣﹣用湿抹布盖灭家里煤气泄漏﹣﹣关阀门、开窗A．A B．B C．C D．D9．化学元素含量的多少对人体健康有着重要的影响。