2012年吴川市实验学校第六次模拟考试
湛江市吴川市中考化学模拟考试试卷(六)
湛江市吴川市中考化学模拟考试试卷（六）姓名:________ 班级:________ 成绩:________一、选择题 (共10题；共20分)1. （2分）(2017·龙东) 下列变化属于化学变化的是（）A . 汽油挥发B . 粮食酿酒C . 石蜡熔化D . 水蒸气液化2. （2分）(2016·邵阳) 高铁酸钾（K2FeO4）是一种高效多功能净水剂．在高铁酸钾中K为+1价，O为﹣2价，则Fe的化合价是（）A . +2B . +3C . +6D . ﹣63. （2分） (2016九上·寿光期末) 2016年5月12日是我国第八个“防灾减灾日”，下列做法或说法不合理的是（）A . 火灾发生后应用湿毛巾捂住口鼻迅速逃离，并拨打119B . 油库、面粉加工厂、纺织厂等场所要严禁烟火C . 只要温度到达着火点，可燃物一定会燃烧D . 扑灭森立大火，可将大火蔓延路线前的一片树木砍掉，形成隔离带4. （2分）(2016·孝感) 我国科学家用滤纸和二氧化钛（TiO2）薄膜制作出一种新型“纳米纸”，又在纳米纸上“铺”一层“萘胺”（C10H9N）染料，制成一种试纸，用于检测食品中亚硝酸盐浓度的高低．下列说法正确的是（）A . 二氧化钛中Ti的化合价为+2价B . 萘胺中氮元素的质量分数约为11.9%C . 这种试纸是一种新型有机化合物D . 萘胺中碳、氢、氮三种元素的质量比为120：9：145. （2分）(2018·会昌模拟) 2014年4月14日，科学家约翰•帕特森向人们展示了一款真正意义上的原子手表，它内置了一个芯片级的铯原子钟，每1000年仅有1秒的误差．已知这种铯原子核内质子数为55，相对原子质量为133，则其核外电子数和中子数分别为（）A . 188 55B . 78 786. （2分）(2019·宁德模拟) 除去下列物质中所含的杂质，所选除杂试剂或方法正确的是（）A . AB . BC . CD . D7. （2分）(2017·盐城模拟) 在等质量的稀硫酸中分别投入Mg、Al、Fe的粉末，完全溶解后，溶液质量仍相等．则投入的金属质量关系是（）A . Mg＞Al＞FeB . Al＞Mg＞FeC . Fe＞Mg＞AlD . Mg=Al=Fe8. （2分）(2016·三元) 航空航天材料中的重要金属钛(Ti)可以用TiO2与Si反应来制取，反应的化学方程式为TiO2+Si=SiO2+Ti，则该反应属于化学反应基本类型中的（）A . 化合反应B . 分解反应C . 置换反应D . 氧化反应9. （2分）(2012·镇江) 化学与生活、环境、资源、能源等密切相关．下列说法正确的是（）A . 废易拉罐属于不可回收垃圾B . 提倡大量使用塑料超薄袋C . 亚硝酸钠有咸味，可以代替食盐作调味品D . 开发太阳能等新能源，减少对化石燃料的依赖10. （2分）(2014·盐城) 现有X、Y、Z三种金属，已知：①X+YCl2═XCl2+Y，②把Y、Z两种金属分别放入稀硫酸中，只有Y和稀硫酸反应．这三种金属的活动性由强到弱的顺序是（）A . X＞Z＞YB . Z＞Y＞X二、填空题 (共3题；共15分)11. （6分） (2017九上·文安期末) 元素周期律和周期表是学习化学的重要工具，下表是元素周期表的部分信息1 H 氢2 He 氦3 Li 锂4 Be铍5 B硼6 C碳7 N氮8 O氧9 F氟10 Ne氖11 Na钠12 Mg镁13 Al铝14 Si硅15 P磷16 S硫17 Cl氯18 Ar氩请认真分析表中信息，回答下列问题：（1）空气中含量最多的元素名称是________，该元素原子的质子数为________．（2）所表示的粒子符号为________，它的最外层电子数为________．（3）由原子序数为8和13的两种元素组成的化合物是________（写化学式）．（4）元素周期表同一横行元素的排列规律是从左至右________．12. （4分） (2015九上·临澧期末) 已知A、B、C、D四种元素核电荷数依次增大，A原子核内无中子，B的一种单质是自然界中最硬的物质，C是地壳中含量最多的元素，D的最外层电子数与C的最外层电子数相同，且C、D形成的化合物之一是形成酸雨的罪魁祸首，请回答下列问题：（1）写出A、C形成两种液态化合物的化学式：________、________（2）画出D的原子结构示意图：________（3） B、D两种元素按质量比3：16形成化合物的化学式为________．13. （5分） (2018九上·虹口期末) 硝酸钾溶解度曲线如图所示①10℃时，硝酸钾的溶解度是________g/100g水。
吴川沙金实验学校英语考试真题和答案
吴川沙金实验学校英语考试真题和答案全文共3篇示例，供读者参考篇1Wuchuan Shajin Experimental School English ExamPart I: Vocabulary and GrammarChoose the correct answer to complete each sentence.1. The children ______ in the playground when it started to rain.A. were playingB. playsC. playingD. played2. Could you please ______ the window? It's hot in here.A. openB. opensC. openingD. opened3. The teacher asked me ______ the homework for tomorrow.A. finishB. finishesC. finishedD. to finish4. I don't have ______ money to buy a new car.A. enoughB. tooC. soD. very5. ______ you ever been to Paris?A. AreB. DoC. HaveD. CanPart II: Reading ComprehensionRead the following passage and answer the questions.John and Sarah are siblings who enjoy playing sports. John likes basketball, while Sarah prefers soccer. They both joined their school teams and have been practicing hard.1. What sports do John and Sarah like?A. FootballB. Basketball and soccerC. TennisD. Swimming2. What sport does John like?A. SoccerB. BasketballC. TennisD. Swimming3. Why have John and Sarah been practicing hard?A. Because they are boredB. Because their parents told them toC. Because they want to improveD. Because they have toPart III: WritingWrite a short paragraph (about 100 words) about your favorite holiday and why you enjoy it.I enjoy celebrating Christmas with my family because it is a time of love, laughter, and togetherness. We decorate the Christmas tree, exchange gifts, and share delicious meals. The atmosphere is always warm and festive, and I cherish the moments spent with my loved ones. Additionally, I love the spirit of giving and spreading joy to others during this holiday season. Christmas brings out the best in people and reminds us of the importance of family and friendship. It truly is the most wonderful time of the year.Answer Key:Part I:1. A. were playing2. A. open3. D. to finish4. A. enough5. C. HavePart II:1. B. Basketball and soccer2. B. Basketball3. C. Because they want to improveI hope this helps you prepare for the upcoming English exam at Wuchuan Shajin Experimental School. Good luck!篇2Wuchuan Shajin Experimental School English ExamSection A - Reading ComprehensionRead the passage and answer the questions that follow.Passage 1Climate change refers to the way the Earth's climate is changing, including changes in temperature, topography, and precipitation. Scientists believe that human activities, such as burning fossil fuels, deforestation, and industrial processes, are contributing to climate change.1. What does climate change refer to?2. How do human activities contribute to climate change?Passage 2The Great Barrier Reef is the world's largest coral reef system composed of over 2,900 individual reefs and 900 islands stretching for over 2,300 kilometers in the Coral Sea off the coast of Queensland, Australia. It is home to a wide range of marine life, including whales, sharks, dolphins, and over 1,500 species of fish.1. Where is the Great Barrier Reef located?2. What is the significance of the Great Barrier Reef?Section B - GrammarChoose the correct verb to complete the sentence.1. The students ______ (is/are) studying for the exam.2. The cat _______ (is/are) sleeping on the bed.3. She _______ (like/likes) to read books in her free time.Section C - WritingWrite a letter to your friend about a recent trip you went on. Include details about the location, activities you did, and anything interesting you learned during the trip.Section D - Listening ComprehensionListen to the audio clip and answer the questions that follow.1. What is the main topic of the conversation?2. Where does the speaker suggest going for dinner?Answers:Section APassage 11. Climate change refers to changes in the Earth's climate.2. Human activities contribute to climate change through burning fossil fuels, deforestation, and industrial processes.Passage 21. The Great Barrier Reef is located in the Coral Sea off the coast of Queensland, Australia.2. The Great Barrier Reef is significant for its diverse marine life.Section B1. are2. is3. likesSection D1. The main topic of the conversation is dinner plans.2. The speaker suggests going to an Italian restaurant for dinner.篇3Wuchuan Shajin Experimental School English Exam Questions and AnswersPart I: Reading ComprehensionRead the passage and answer the questions that follow.When it comes to eating healthy, there are a few key principles to keep in mind. First, try to eat a variety of foods from all food groups. This will ensure that you are getting the necessary nutrients your body needs. Second, watch your portion sizes. Even healthy foods can be unhealthy in large quantities. Lastly, try to limit your intake of processed foods and sugary drinks.1. What are the key principles to keep in mind when eating healthy?2. Why is it important to eat a variety of foods from all food groups?3. Why should you watch your portion sizes when eating?Answers:1. The key principles to keep in mind when eating healthy are eating a variety of foods from all food groups, watching your portion sizes, and limiting intake of processed foods and sugary drinks.2. It is important to eat a variety of foods from all food groups to ensure that you are getting the necessary nutrients your body needs.3. You should watch your portion sizes when eating because even healthy foods can be unhealthy in large quantities.Part II: VocabularyChoose the best word to complete each sentence.1. She likes to __________ in the park on weekends.a) readb) swimmingc) swimd) swims2. My brother is a __________ engineer.a) civilb) spinachc) mosquitod) flower3. I need to buy some __________ for dinner tonight.a) brothersb) buildingsc) bananasd) burgers4. The weather today is __________ than yesterday.a) beautifulb) vegetablesc) uglyd) handsome5. She __________ a lot of money on clothes last month.a) wastedb) parkedc) orderedAnswers:1. c) swim2. a) civil3. c) bananas4. c) ugly5. a) wastedPart III: GrammarChoose the correct form of the verb to complete each sentence.1. She always __________ her homework after school.a) doesb) doc) didd) done2. They __________ the movie last night.a) watchedc) watchesd) wached3. He __________ a new car next month.a) will buyb) buyc) buysd) bought4. The students __________ hard for the exam.a) studyingb) will studyc) studyd) studied5. I __________ to the beach if it is sunny tomorrow.a) will gob) goc) goesAnswers:1. a) does2. a) watched3. a) will buy4. c) study5. a) will goPart IV: WritingWrite a short paragraph about your favorite hobby. Include details such as why you enjoy it, how often you do it, and any special equipment you need.My favorite hobby is painting. I enjoy painting because it allows me to express my creativity and relax at the same time. I usually paint on weekends when I have more free time. I only need a few brushes, paints, and a canvas to start painting. I love experimenting with different colors and techniques to create unique pieces of art. Overall, painting is a therapeutic and rewarding hobby for me.Overall, the English exam at Wuchuan Shajin Experimental School covers a range of topics including reading comprehension, vocabulary, grammar, and writing skills. Students are encouraged to study and practice regularly to improve their English proficiency.。
广东省湛江市吴川市实验学校2022-2023学年九年级上学期期末数学试题
广东省湛江市吴川市实验学校2022-2023学年九年级上学期期末数学试题一、单选题1．2023的倒数是（ ）A ．2023-B ．2023C ．12023D ．12023- 2．把69700000用科学记数法表示为（ ）A ．56.9710⨯B ．569710⨯C ．76.9710⨯D ．80.69710⨯ 3．下列计算正确的是（ ）A ．358a b ab +=B ．33332a c c a a c -=C ．321a a -=D ．222235a a a += 4．在平面直角坐标系中，点G 的坐标是()2,1-，连接OG ，将线段OG 绕原点O 旋转180︒，得到对应线段OG '，则点G '的坐标为（ ）A ．()2,1-B ．()2,1C ．()1,2-D ．()2,1-- 5．有理数a 、b 在数轴上对应点的位置如图所示，下列各选项正确的是（ ）A ．0a b +<B ．a<0C ．0ab >D ．0a b -> 6．如图，两条平行线a ，b 被第三条直线c 所截．若256∠=︒，则1∠的度数为（ ）A ．120︒B ．112︒C ．124︒D ．56︒7．不透明的袋子中装有红球1个、绿球1个、白球2个，除颜色外无其他差别．随机摸出一个小球后不放回，再摸出一个球，则两次都摸到白球的概率是（ ）A ．12 B ．13 C ．14 D ．168．已知关于x 的一元二次方程()22210a x x --+=有两个不相等的实数根，则a 的取值范围是（ ）A ．3a <B ．3a >C ．3a <且2a ≠D ．3a <-9．如图：将边长为6的正方形纸片ABCD 折叠，使点D 落在AB 边中点E 处，点C 落在点Q 处，折痕为FH ，则线段AF 的长是（ ）A ．2B ．94C ．3D ．9510．已知点A ，B 分别在反比例函数2y x =（x ＞0），8y x-=（x ＞0）的图象上且OA ⊥OB ，则tan B 为（ ）AB ．12 C D ．13二、填空题11．当3a =时，代数式22a a -+的值是．12()210y +=，则()2023x y +=．13．在Rt ABC △中，90135C AB CB ∠=︒==，，，B ∠的余弦值为 ．14．如图，△ABC 的外接圆O 的半径为2，∠C=40°，则»AB 的长是．15．如图，在ABCD Y 中，CD ＝2，∠B ＝60°，BE ∶EC ＝2∶1，依据尺规作图的痕迹，则ABCD Y 的面积为．三、解答题16．（1）计算：101()602π-⎛⎫-+︒ ⎪⎝⎭ （2）解不等式组：311442x x x x -≥+⎧⎨+<-⎩17．如图，已知：12∠=∠，34∠∠=，延长AB 至E ．求证：ABD ABC ≌△△；18．如图，小林要测量塔CD 的高度，他在A 处仰望塔顶，测得仰角为30︒，再往塔的方向前进30m 至B 处仰望塔顶，测得仰角为60︒，那么该塔的高度是多少？（小林的身高忽略不计，结果精确到1m 1.4≈ 1.7≈）19．某中学计划举行以“奋斗百年路，启航新征程”为主题的知识竞赛，并对获奖的同学给予奖励．现要购买甲、乙两种奖品，已知1件甲种奖品和2件乙种奖品共需40元，2件甲种奖品和3件乙种奖品共需70元．(1)求甲、乙两种奖品的单价；(2)根据颁奖计划，该中学需甲、乙两种奖品共60件，且甲种奖品不少于20件，应如何购买才能使总费用最少？并求出最少费用．20．某中学在一次爱心捐款活动中，全体同学积极踊跃捐款．现随机抽查了八年级20位同学捐款情况，并绘制出如下的统计表和统计图．根据上述信息，回答下列问题：(1)m =______，n =______；(2)学生捐款数目的众数是_______元，中位数是_______元，平均数是______元；(3)若该校有学生1500人，估计该校学生共捐款多少元？ 21．如图，已知，()0,4A ，()3,0B -，()2,0C ，过A 作y 轴的垂线交反比例函数k y x= 的图象于点D ，连接CD ，AB CD ∥．(1)证明：四边形ABCD 为菱形；(2)求此反比例函数的解析式；(3)求sin DAC ∠的值．22．如图，已知AB 为⊙O 的直径，过⊙O 上点C 的切线交AB 的延长线于点E ，AD ⊥EC 于点D ，且交⊙O 于点F ，连结BC ，CF ，AC ．(1)求证：BC ＝CF ；(2)若3AD =，4DE =，求BE 的长和tan CAE ∠的值．23．如图，直线4y x =-+与x 轴，y 轴分别交于点B ，C ，点A 在x 轴负半轴上，且12OA OB =，抛物线24y ax bx =++经过A ，B ，C 三点．(1)求抛物线的表达式；(2)点P 是第一象限内抛物线上的动点，设点P 的横坐标为m ，过点P 作PD BC ⊥，垂足为点D ，用含m 的代数式表示线段PD 的长，并求出线段PD 的最大值．(3)设点M 为x 轴上一动点，当直线CM 与直线BC 所夹的锐角30BCM ∠=︒时，直接写出点M 的坐标．。
2024学年广东省吴川一中学实验校中考英语最后一模试卷含答案
2024学年广东省吴川一中学实验校中考英语最后一模试卷含答案注意事项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、---If your parents wanted to have a ______ child, would you agree?---Of course. But they shou ld make it in _____ yeas’ time.A．second; second B．two; two C．second; two D．two;second2、Tim, you're all wet. Take off the clothes, you will catch a cold.A．or B．and C．but D．so3、The nurse won't leave her patients________she's sure they are all taken good care of.A．unless B．because C．since D．if4、－What do you think of the company’s new ideas?－I don’t agree with ___________. But I have to say some of them are of value.A．all B．anything C．any D．none5、— Why do you like living in the countryside?一Because there's noise and fewer cars there.A．less B．little C．fewer D．few6、—Don't go out now，look，it is raining outside，we had better stay at home and watch TV.A．big B．strong C．hard D．hardly7、--- ______ do you volunteer at the old people’s home?--- Once a month.A．How long B．How soon C．How far D．How often8、David to join the singing club because he doesn’t love singing at all.A．failed B．promised C．refused9、—My parents are crazy about Running Man．How about your parents？—_______ my dad _______ my mom likes it，But they prefer Ode to Joy（欢乐颂）A．Not only；but also B．Both；andC．Either；or D．Neither；nor10、---Excuse me, would you mind helping me with the math problem?---I’m sorry. _______, I’m in a hurry.A．In general B．In fact C．In all D．In detailⅡ. 完形填空11、Sarah hung all the colorful paper on the wall, but not really cared about if she put them in the right places. She was a little 1 . It was her birthday, too. But it seemed that 2 in her class remembered it. They were all busy planning the surprise 3 for their head teacher Mr. Smith.Sure Mr. Smith was 4 . He knew everyone’s birthday and made cards for them. He high-fived you when you got an A on a test, and tried to 5 you when you had a problem. Sarah knew Mr. Smith was good enough to get the surprise party. 6 she still wished just one person could remember it was her birthday, too!Sarah had a quick look at the 7 card the classmates made. It was almost as big as the blackboard. She knew Mr. Smith would be unhappy if they 8 him presents. So she advised the class to make a card for him, just like he 9 for them.“Sarah，will you turn off the 10 please? ” Ms.Clark said. “I’m going to call Mr. Smith now.” Ms. Clark called Mr. Smith, saying the lights in the 11 had gone out. As soon as Ms. Clark finished the call, Sarah looked around the classroom 12 with a sigh (叹气）for another time and turned the lights 13 .The door opened and everyone shouted, “14 !”“A surprise party for15 ?” Mr. Smith asked.He walked over to the big card. “This is the most beautiful card I can16 . But it makes my birthday card kind of 17 . ” Then he turned to Sarah and handed her the card. “Happy birthday, Sarah. I’m excited that we have the same 18 . ”“Me, too.” Sarah said, 19 at Mr. Smith.“Happy birthday, Sarah!” Her classmates shouted again happily, and her best friend gave her another birthday card.Sarah was so 20 that tears came to her eyes.1．A．happy B．unhappy C．tired D．bored2．A．no one B．someone C．anyone D．everyone3．A．talk B．lesson C．trip D．party4．A．strict B．great C．funny D．serious5．A．thank B．hear C．leave D．help6．A．And B．Or C．But D．So7．A．big B．foreign C．small D．simple8．A．showed B．made C．lent D．bought9．A．made B．did C．had D．found10．A．TV B．fan C．lights D．computers11．A．classroom B．dinning hall C．library D．school12．A．angrily B．happily C．slowly D．surely13．A．off B．on C．up D．down14．A．Welcome B．Surprise C．Morning D．Goodbye15．A．us B．her C．you D．me16．A．post B．see C．make D．order17．A．expensive B．old C．small D．long18．A．birthday B．cake C．dream D．card19．A．laughing B．running C．shouting D．smiling20．A．excepted B．touched C．trusted D．invitedⅢ. 语法填空12、Which do you prefer to use when you are studying, iPads 1．books? Here is a survey about it. Some students think that iPads are2．(good). iPads can give them more choices. They can search for information in an iPad easily instead of 3．(look) everything up in different books. At the same time, students can send pictures directly to a printer to photocopy4．(they). And homework will not be5．(forget)easily because teachers can send all the homework to their iPads. With 6．iPads, they can do all their work in them. But 7．(other) think that books are more8．(help) for learning. 9．, reading books won’t hurt eyes. Second, what they read in books can leave a deeper impression on them. What’s more, some students usually use iPads to play games at school, which is bad 10．their study. So they prefer to use books.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 background 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、A large number of people in the world eat fast food. Whenever you go into a fast food restaurant, you can see lots of people enjoying their meals there. How do you know in which country people like fast food best?The English people are the world’s biggest fans of fast food, while the French are the least interested in quick meals, according to a survey done last year. The survey of thirteen countries shows 45﹪of the Engl ish people say they can’t give up fast food because it’s delicious. And 44﹪of Americans and 37﹪of Canadians say the same. The French, proud of their delicious and high-class cuisine, don’t like fast food. 81﹪of them think it is unhealthy, followed by 75﹪of the Japanese.How about the Chinese? How often do you have hamburgers or fried chicken? It doesn’t matter whether you like western fast food or Chinese food. The most important thing is to keep a balanced diet.1．From the survey we know _______ like fast food best.A．the Chinese B．the French C．the English2．The survey shows _______ of Americans like fast food.A．37﹪B．44﹪C．75 ﹪3．According to the survey, some can’t give up fast food because.A．it’s cheap B．it’s healthy C．it’s delicio us4．The underlined word “cuisine” in the passage means _______.A．food B．house C．water5．The survey is about _______.A．western countries B．fast food C．restaurants in the worldC15、Most students，who are learning a foreign language, like to choose Homestay when they study abroad. Others also prefer homestay even if they go on a visit or a holiday in another country. Presently，homestay has become a form of accommodation(寄宿) which is very popular all around the world. If you want tostay at a comfortable and home-like house and experience the life of local people，you can book a homestay on the Internet before you go abroad. It is easy for you to pick out a host family that you want to live with from all over the world. So what is homestay? And what makes it so popular nowadays?Homestay means living with a foreign family or "host family" as we stay abroad. It is usually called a home away home. There are three ways of doing it:★Choose to learn English in a language school near your homestay where youlive ；★Have your English classes in the house with a member of family who is a qualified (合格的) teacher；★Don't have any classes at all when you visit a foreign country-a popularchoice if you want to be a tourist for example.Even in the busy summer period the organization that provides the homestays will always try to place you with the most suitable(适合的) host family to meet your needs. With the help of the organizations, you don't worry about where you live，your interests，your language level, eating habits, medical care and anything else you may have during the homestay.Though the price of homestay is，mainly depended on your needs，high-quality homestay accommodation can be relatively economical(经济的). And if you want your homestay in or near the city center，you may pay for an extra amount of money. Even if you stay further out. you can expect your journey into the center not to Go beyond 30 minutes.Not only does homestay accommodation represent(象征) value for money，it also gives you an excellent opportunity topractice the foreign language with your host family. This is a very important extra for students who like to speak as much language as possible. But if you plan to learn English. Why not have your English classes in your host family? There's no better way to learn languages than this because it makes learning and accommodation together as well as the cultural experience!1．What can be inferred from the passage?A．Learning languages at school is much better than that in homestays.B．All the homestay family members used to be good teachers in the pastC．More money should be paid if you live in host families in city center.D．Everything has to be thought about after you enter a homestay family.2．What's the writer's attitude towards homestay according to the passage?A．The writer think homestay is good for language learning.B．The writer hopes homestay families will provide more service.C．The writer is worried about the safety of homestay in the future.D．The writer complains about development of homestay nowadays3．What's the passage mainly about?A．It introduces famous places of interest around the world.B．It tells us why homestay has been popular in the world.C．It gives us advice on how to learn foreign languages well.D．It describes how homestay works between different countries.D16、1．Who plays the leading role in making decisions?A．Cat B．Mara C．Iggy D．Barney 2．The underlined word “awesome” probably means______.A．awful B．crazy C．nervous D．fantastic 3．What do we know about the Island Club?A．It’s a new place for the three friends.B．It’s one of the top clubs of UK. C．Coffee is always free there. D．Iggy prefers to eat there.E17、阅读理解How time flies! The 9th graders are going to graduate soon. We invite them to write about their school memories. Let’s share some of them. —Ms. Rosen1．Who dislikes tests among the four students?A．Brita B．Jay C．Rocky D．Angel2．How many of the four students mentioned Ms. Rosen?A．One. B．Two. C．Three. D．Four.3．What can we learn from the given information above?A．The four students will be in Grade 9 next term.B．The four students do not enjoy school very much.C．The four students all think it’s important to work hard.D．Their favourite memories are all about trips.F18、Even nowadays there are a lot of misunderstandings between nationalities. Let’s have a look at what the following people have to say.Maria Conti: I find the English people insincere (虚伪), cold and unfriendly. They keep saying “Thank you”, “I’m sorry”, even when they don’t know each other. They are even polite to their own relatives! Except for helping you find your way in the streets, they aren’t really friendly and never in vite you to their houses. Giannis Sinios: On the contrary I found them both broad-minded and friendly. I was invited to people’s houses and they all showed great interest in my ideas, Greek life and people. In England I learned that it was possible to be warm, friendly and polite at the same time.Judy Brown: I lived in both Italy and Greece for a few years. At first there were a few misunderstandings between my foreign friends and myself. For example, I once gave a Greek friend a present for her birthday. I was rather sorry that she didn’t unwrap it immediately. What’s more, she even didn’t thank me until I asked her if she liked it! I’ve learned from different experiences that a lot of foreigners find our attitude to what we English people call politeness is rather insincere. They feel that politeness isn’t necessary between friends. 1．According to Maria Conti, it is _________.A．insincere to keep saying “thank you” and “I’m sorry” to strangersB．necessary for relatives to be polite to each otherC．unfriendly for the English people to help your way in the streetsD．not polite for the English people to invite her to their houses2．Giannis Sinios is from________.A．England B．Greece C．Italy D．America3．According to Judy Brown’s experience, ___________ .A．what the English people call politeness is rather insincereB．the English people are less polite than the people in other countriesC．ideas of what are good manners are the same in different countriesD．ideas of what is politeness are not always the same in different countrie sⅤ.书面表达19、好的团队要有团队精神。
湛江市吴川市中考化学一模考试试卷
湛江市吴川市中考化学一模考试试卷姓名:________ 班级:________ 成绩:________一、单选题 (共9题；共18分)1. （2分）(2018·鸡西模拟) 人类食物供给的总能量中，有70%左右来自糖类，下列物质中富含糖类的是（）A . 玉米B . 豆腐C . 奶油D . 黄瓜2. （2分） (2017九上·扬州月考) 下图所示的基本实验操作中错误的是（）A . 倾倒液体B . 检查气密性C . 收集二氧化碳气体D . 滴加少量液体3. （2分）(2017·内江模拟) 2011年5月2日胡锦涛同志在天津调研时着重指出“民以食为天，食以安为先．食品安全是关系人民群众身体健康和生命安全的一件大事”．下列做法不会对人体有害的是（）A . 为了增进营养和促进消化，牛奶经工业发酵后得到酸奶B . 为了使馒头看相好，上海华联超市销售用柠檬黄、糖精钠、玉米精等多种添加剂炮制的染色馒头C . 为了保持肉制品的鲜美，河南济源双汇食品有限公司使用吃了“瘦肉精”的猪肉做原料制火腿肠D . 为了避免浪费，广东江门有人将餐馆的潲水油进行净化成“地沟油”再售往学校和酒店再利用4. （2分）在化学世界里没有生命的阿拉伯数字也变得鲜活起来，它们在不同的位置表示着不同的含义。
下列化学符号中数字“2”表示的意义不正确的是（）A . Mg2+：一个镁离子带2个单位正电荷B . CO2：每个二氧化碳分子中含有2个氧原子C . 2H：2个氢元素D . ：氧化钙中钙元素的化合价为+2价5. （2分）(2017·宝应模拟) 如图所示装置气密性良好、要使注射器中的活塞向右移动，使用的液体M和固体N可能是（）①稀盐酸和石灰石；②稀硫酸和锌；③水和氢氧化钠；④水和硝酸铵．A . ①②③④B . ①②③C . ①②④D . ②③④6. （2分）下列鉴别物质的方法中，不可行的是（）A . 用嗅气味的方法鉴别白酒和食醋B . 用酚酞试液鉴别稀硫酸和Na2SO4 溶液C . 用点燃的方法鉴别羊毛和涤纶D . 用水鉴别NaCl和CaCO3固体7. （2分） (2015九上·平度期末) 下列关于溶液的说法正确的是（）A . 均一稳定的液体一定是溶液B . 植物油倒入水中，充分搅拌，可得到溶液C . 饱和溶液一定是浓溶液D . 饱和溶液和不饱和溶液之间可以相互转化8. （2分）(2019·广灵模拟) 泉城济南，景色秀美；保护环境，人人有责。
吴川市实验中学2018-2019学年高二上学期第二次月考试卷数学
吴川市实验中学2018-2019学年高二上学期第二次月考试卷数学 班级__________ 姓名__________ 分数__________一、选择题1． 下列函数中，在区间（0，+∞）上为增函数的是（ ） A ．y=x ﹣1B ．y=（）x C ．y=x+D ．y=ln （x+1）2． 若动点A ，B 分别在直线l 1：x+y ﹣7=0和l 2：x+y ﹣5=0上移动，则AB 的中点M 到原点的距离的最小值为（ ） A ．3B ．2C ．3D ．43． 抛物线x=﹣4y 2的准线方程为（ ） A ．y=1 B ．y=C ．x=1D ．x=4． 已知在R 上可导的函数f （x ）的图象如图所示，则不等式f （x ）•f ′（x ）＜0的解集为（ ）A ．（﹣2，0）B ．（﹣∞，﹣2）∪（﹣1，0）C ．（﹣∞，﹣2）∪（0，+∞）D ．（﹣2，﹣1）∪（0，+∞）5． 若变量x y ，满足约束条件22024010x y x y x +-≥⎧⎪-+≥⎨⎪-≤⎩，则目标函数32z x y =-的最小值为（ ）A ．-5B ．-4 C.-2 D ．3 6． 对一切实数x ，不等式x 2+a|x|+1≥0恒成立，则实数a 的取值范围是（ ） A ．（﹣∞，﹣2） B ． D ．上是减函数，那么b+c （ ）A．有最大值B．有最大值﹣C．有最小值D．有最小值﹣7． 已知集合A={﹣1，0，1，2}，集合B={0，2，4}，则A ∪B 等于（ ）A ．{﹣1，0，1，2，4}B ．{﹣1，0，2，4}C ．{0，2，4}D ．{0，1，2，4}8．如果过点M（﹣2，0）的直线l与椭圆有公共点，那么直线l的斜率k的取值范围是（）A．B．C．D．9．执行如图所示的程序框图，若输出的结果是，则循环体的判断框内①处应填（）A．11？ B．12？ C．13？ D．14？10．在△ABC中，∠A、∠B、∠C所对的边长分别是a、b、c．若sinC+sin（B﹣A）=sin2A，则△ABC的形状为（）A．等腰三角形B．直角三角形C．等腰直角三角形D．等腰三角形或直角三角形11．如图所示的程序框图，若输入的x值为0，则输出的y值为（）A ．B ．0C ．1D ．或012．已知数列{a n }满足log 3a n +1=log 3a n+1（n ∈N *），且a 2+a 4+a 6=9，则log （a 5+a 7+a 9）的值是（ ）A ．﹣B ．﹣5C ．5D ．二、填空题13．设x R ∈，记不超过x 的最大整数为[]x ，令{}[]x x x =-.现有下列四个命题: ①对任意的x ，都有1[]x x x -<≤恒成立； ②若(1,3)x ∈，则方程{}22sincos []1x x +=的实数解为6π-；③若3n n a ⎡⎤=⎢⎥⎣⎦（n N *∈），则数列{}n a 的前3n 项之和为23122n n -；④当0100x ≤≤时，函数{}22()sin []sin 1f x x x =+-的零点个数为m ，函数{}()[]13xg x x x =⋅--的 零点个数为n ，则100m n +=.其中的真命题有_____________.（写出所有真命题的编号）【命题意图】本题涉及函数、函数的零点、数列的推导与归纳，同时又是新定义题，应熟悉理解新定义，将问题转化为已知去解决，属于中档题。
广东省湛江市吴川实验中学高二语文模拟试题含解析
广东省湛江市吴川实验中学高二语文模拟试题含解析一、现代文阅读（35分，共3题）1. 阅读下面的文字，完成1—3题。
悲剧与人生的距离朱光潜悲剧中有人生，人生中不必有悲剧。
我们的世界中有的是凶灾险恶。
但是说这种凶灾险恶是悲剧，只是在用比譬。
悲剧所描写的固然也不外乎凶灾险恶，但是悲剧的凶灾险恶是在艺术的锅炉中蒸馏过的。
像一切艺术一样，戏剧要有几分近情理，也要有几分不近情理。
它要有几分近情理，否则它和人生没有接触点，读来兴味索然；它也要有几分不近情理，否则你会把舞台真正看做世界，看《奥塞罗》会想到自己的妻子，或者老实递消息给司马懿，说诸葛亮是在演空城计。
悲剧和人生之间自有一种不可跨越的距离，你走进舞台，你便须暂时丢开世界。
悲剧都有些古色古香。
希腊悲剧流传于人间的几十部之中只有《波斯人》一部是写当时史实，其余都是写人和神还没有分家时的老故事老传说：莎士比亚并不醉心于古典，在这一点上他却近乎守旧。
他的悲剧事迹也大半是代远年淹的。
17世纪法国悲剧也是如此。
拉辛在《巴雅泽》序文里说：“说老实话，如果剧情在哪一国发生，剧本就在哪一国表演，我不劝作家拿这样近代的事迹做悲剧。
”他自己用近代的“巴雅泽”事迹，因为它发生在土耳其，“国度的辽远可以稍稍补救时间的邻近”，这是以空间的远救时间的近。
悲剧和平凡是不相容的，而实际上不平凡就失人生世相的真面目。
所谓“主角”同时都有几分“英雄气”。
普罗米修斯、哈姆雷特都不是你我凡人所能望其项背的，你我凡人没有他们的伟大魄力，也没有他们那股傻劲儿。
许多悲剧情境移到我们日常世界中来，都会被妥协酿成一个平凡收场，不至于引起轩然大波。
如果你我是俄狄浦斯，要逃弑父娶母的预言，索性不杀人，独身到老，便什么祸事也没有。
悲剧的产生就由于不平常人睁着大眼睛向我们平常人所避免的灾祸里闯。
悲剧的世界和我们是隔着一层的。
这种另一世界的感觉往往因神秘色彩而更加浓厚。
悲剧压根儿就是一个不可解的谜语，如果能拿理性去解释它的来因去果，便失其为悲剧了。
湛江市吴川市中考化学模拟考试试卷
湛江市吴川市中考化学模拟考试试卷姓名:________ 班级:________ 成绩:________一、单选题 (共32题；共64分)1. （2分）下列过程不包含化学变化的是（）A . 天原化工厂用食盐水生产烧碱B . 宜宾城区住户烧天然气煮饭C . 南岸建筑工地上倾倒鹅卵石D . 五粮液厂用粮食酿酒2. （2分）我们的生活中有很多化学物质，生活中的下列物质，属于纯净物的是（）A . 洗衣粉有素B . 蒸馏水C . 酸奶D . 精制碘盐3. （2分）为解决日益加剧的温室效应等问题，科学家正在研究建立如下图所示的二氧化碳新循环体系：（）结合上述关系图下列说法正确的有：①化学变化中元素种类是守恒的；②燃烧时化学能可以转化为热能和光能；③二氧化碳也是一种重要的资源；④无机物和有机物可以相互转化。
A . ①②③B . ①②④C . ①③④D . ①②③④4. （2分）(2018·信阳模拟) 吃饺子是中国北方人过春节重要的传统习俗之一，饺子用到的食材中富含蛋白质的是（）A . 食盐B . 芹菜C . 小麦粉D . 猪肉5. （2分）(2016·吉林模拟) 下列有关金属及合金的说法中正确的是（）A . 合金是由两种或两种以上金属熔合而成的具有金属特性的物质B . 在日常生活中，大量使用的常常不是纯金属，而是它们的合金C . “真金不怕火炼”说明黄金的硬度非常大D . 铜的化学性质不活泼，所以铜制品不会生锈6. （2分） (2016九上·埇桥期末) 下列物质中，含有氧分子的是（）A . 空气B . H2OC . CO2D . H2O27. （2分）(2017·罗平模拟) 如图实验操作正确的是（）A .B .C .D .8. （2分） (2017九上·秦淮期中) 下列行为会增加空气中PM2.5的是（）A . 露天焚烧垃圾B . 处理工业废水C . 治理工地扬尘D . 禁止焚烧秸秆9. （2分） (2016九上·南召期中) 下列化学反应既不属于分解反应又不属于化合反应的是（）A . 硫+氧气二氧化硫B . 高锰酸钾锰酸钾+二氧化锰+氧气C . 氢气+氯气氯化氢D . 二氧化碳+氢氧化钙→碳酸钙+水10. （2分）(2017·锦江模拟) 以下主题的知识归纳中，完全正确的一组是（）A、化学与环境B、化学与安全①鼓励生活垃圾焚烧处理②减少化石燃料燃烧可控制雾霾产生①房间里着火应立即打开门窗②天然气泄漏应立即打开排气扇换气C、化学与营养D、化学与材料①蔬菜、水果中富含维生素②幼儿及青少年缺钙易患佝偻病①纯金属、合金都是金属材料②塑料、纤维、橡胶都是合成材料A . AB . BC . CD . D11. （2分） (2018九上·南山期末) 对下面符号或示意图的理解，正确的是（）A . Fe2+、Fe3+都属于铁元素，是同一种离子B . NO2、N2O4中氮元素的化合价都是+4价，是同一化合物C . NH4NO3中氮元素有两种不同的化合价，分别是﹣3、+5D . 两种粒子的电子排布情况相同，属于同一元素12. （2分）下列选项正确的是（）A . NO2中不含氧分子B . 次氯酸钠NaClO中，氯元素的化合价为-1价C . 镁的离子符号是Mg+2D . Na2SO4 + 2KNO3 = K2SO4 + 2NaNO313. （2分） (2018九下·福田月考) 质量相同的下列四种物质，完全分解后制得氧气质量最多的是（）A . H2O2B . H2OC . KClO3D . KMnO414. （2分）(2018·河北) 下图所示的四个图像，分别对应四种过程，其中正确的是（）A . ①分别向等质量Mg 和Cu 中加入足量等质量、等浓度的稀硫酸B . ②分别向等质量且足量的Zn中加入等质量、不同浓度的稀硫酸C . ③分别向等质量且足量的Mg和Zn中加入等质量、等浓度的稀硫酸D . ④分别向等质量的Mg和Zn中加入等质量、等浓度且足量的稀硫酸15. （2分） (2016九上·自贡期末) 下列说法错误的是（）A . 在灯泡中充入氮气，可以延长灯泡的使用寿命B . 催化剂在反应前后质量和化学性质不变，也不影响生成物的质量C . 空气质量报告中所列的空气质量级别越大，空气质量越好D . 饼干在空气中变软是因为空气中含有水蒸气16. （2分） (2016九上·富顺期中) 下列实验方案不能达到相应目的是（）A B C D 实验方案目的证明呼出气体比吸入空气的CO2含量多证明氨分子在不断运动检查装置的气密性测定空气中氧气的含量A . AB . BC . CD . D17. （2分）(2017·个旧模拟) 下列变化中属于化学变化的是（）A . 粉笔折断B . 汽油挥发C . 冰雪融化D . 钢铁生锈18. （2分） (2016九下·津南期中) 材料与人类生活紧密相关，下列物品与所用材料的对应关系错误的是（）A . 纯羊毛衫﹣﹣﹣天然纤维B . 汽车轮胎﹣﹣﹣塑料C . 钻石﹣﹣﹣金刚石D . 不锈钢餐具﹣﹣﹣铁合金19. （2分） (2017九上·镇雄期末) 下列说法中不正确的是（）A . 空气的主要成分是氮气和氧气B . 氧气可用于医疗急救C . 新鲜空气中不含二氧化碳D . 食品包装中充入氮气以防腐20. （2分） (2016九上·罗山期末) 小明同学的学习档案中，对下列符号中“2”所表示的含义有如下记载，其中错误的是（）A . 2H2O中的“2”表示两个水分子B . O2中的“2”表示一个氧气分子中含有两个氧原子C . 2Fe中的“2”表示两个铁原子D . Fe2+中的“2”表示一个铁离子带两个单位正电荷21. （2分）(2017·绵阳) 下列除杂或鉴别方法正确的是（）A . AB . BC . CD . D22. （2分）艾滋病的蔓延已经成为影响人们生活、阻碍经济发展的一大社会公害。
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2012年吴川市实验学校第六次模拟考试数学试卷说明：全卷共6页，考试时间为90分钟，满分150分．一、选择题(本大题共12小题，每小题3分，共36分．每小题只有一个正确选项，请把正确选项的代号填在下列表格相应的位置） 1. -3的相反数是( )A.-3B. 3C. 31-D. 31 2. 我市今年参加中考人数约为106000，用科学记数法表示为（ ） A ．610106.0⨯ B ．41006.1⨯ C ．51006.1⨯ D ．4106.10⨯ 3. 函数12-=x y 中自变量x 的取值范围是（ ）A ． 1≥xB ．1>xC ．1-≥xD ．1-≥x 且0≠x4. 下列等式中，成立的是（ ）A.(-2)0=0 B.39±= C.3273= D.221-=-5. 已知点P （1，－2）和点Q （－1，2），那么点P 和点Q ( )A.关于x 轴对称B.关于y 轴对称C.关于原点对称D.以上结论都不对 6. 如图，已知AD//BC ，∠EAD=50O，∠ACB=40 O，则∠BAC 的度数是（ ）A. 400B. 500C. 600D. 9007. 为分析10000名学生的中考数学成绩，从中抽取200名学生的数学成绩．在这个问题中，下列说法正确的是（ ）A ．每名学生是个体B ．从中抽取的200名学生是总体的一个样本C ．10000名学生是总体D ．样本容量是2008. 如果两圆内切，半径分别为3cm 和5cm , 则两圆的圆心距为( ) A.2cm B. 3cm C.5cm D.8cm9. 在Rt ABC ∆中， 90=∠C ，如果2=AB ，1=BC ，那么B sin 的值是（ ）．A.21B.23C.33D.310. 如图是由5个大小相同的正方体摆成的立方体图形,它的左视图．．．是( )BADCE第6题50 O40 O11. 已知正六边形的半径为2，则这个正六边形的周长是（ ）． A.6B. 12C. 36D. 31212. 如图，已知一次函数b kx y +=的图象与反比例函数xm y =图象交于Ａ、Ｂ两点，根据图象回答：当x 函数值大于反比例函数的函数值？（ ） A ．402<<-<x x 或 B ．42<<-x C ．024<<->x x 或 D ．42>-<x x 或二、填空题(本大题共8小题，每小题4分，共32分)13. 已知双曲线y=x k经过点（1，-3），则k 的值等于________． 14．抛物线2(3)2y x =-+的顶点坐标是15.分解因式：x x x 16823+-= .16. 如图，在⊿ABC 中，D 、E 分别为AB 、AC 的中点，已知DE=4cm ，则BC=________cm ．17. 023=-++y x ,则=xy .18. 不等式组⎩⎨⎧>-<+01231x x 的整数解是 .19. 若一个圆锥的母线长是3，底面半径是1，则它的侧面展开图的面积是 ． 20. 用同样大小的黑色棋子按下图所示的方式摆图形，按照这样的规律摆下去，则第20个图形需棋子 枚.第1个图2个图 3个图…A ．B ．C ．D ． 第10题EDCBA第16题三、解答题21．（本小题满分8分）计算： 0001)30cos 1(45sin 2212----+-22.（本小题满分8分）小强为了测量某一大厦CD 的高度，利用大厦CD 旁边的高楼AB ，在楼顶A 测得大厦CD 的顶部C 的仰角是30°，再测得大厦CD 的底部D 的俯角是45°，测出点B 到底部D 的水平距离BD ＝40m.求大厦CD 的高度.23．（本题满分10分）有形状、大小和质地都相同的四张卡片A ，B ，C ，D ，正面上分别写有四个实数－7， π，5， 32，将这四张卡片背面向上洗匀，从中随机抽取一张(不放回)，接着再随机抽取一张．（1）画树形图或列表法表示抽取两张卡片可能出现的所有情况（卡片可用A 、B 、C 、D 表示）； （2）求取到的两个数都是无理数的概率．天）24. （本小题满分10分）某家庭装修房屋，由甲、乙两个装修公司合作完成，选由甲装修公司单独装修3天，剩下的工作由甲、乙两个装修公司合作完成．工程进度满足如图所示的函数关系，该家庭共支付工资8000元．（1）完成此房屋装修共需多少天？ （2）若按完成工作量的多少支付工资， 甲装修公司应得多少元？25.（本小题满分10分）已知：如图，△ABC 内接于⊙O，AE 是⊙O 的直径，CD 是△ABC 中AB边上的高，求证：AC·BC=AE·CD26.（本题满分12分）某市为了解市民对2010年上海世博会的总体印象，利用最新引进的“计算机辅助电话访问系统”（简称CATI 系统），采取电脑随机抽样的方式，对本市年龄在16～65岁之间的居民，进行了400个电话抽样调查．并根据每个年龄段的抽查人数和该年龄段对上海世博会总体印象感到满意的人数绘制了下面的图(1)和图(2)（部分）（１）被抽查的居民中，人数最多的年龄段是 岁；（２）已知被抽查的400人中有85%的人对博览会总体印象感到满意，请你求出31～40岁年龄段的满意人数，并补全图2；（３）比较16～20岁和41～50岁这两个年龄段对上海世博会总体印象满意率的高低（四舍五入到1%）．61～65岁27.（本题满分12分）某超市销售甲、乙两种商品，甲商品每件进价10元，售价15元；乙商品每件进价30元，售价40元.(1)若该超市同时一次购进甲、乙两种商品共80件，恰好用去1700元，求购进甲、乙两种商品各多少件？(2)该超市若要甲、乙两种商品共80件的总利润(利润=售价-进价) 不超过612元，但又不少于600元，请你帮助该超市设计相应的进货方案。
28．（本题满分12分）建立如图平面直角坐标系，已知四边形ABCD是矩形，边AB在x轴上，且MO=MD=4,MC=3.(1)求直线BM的解析式；(2)求过A、M、B三点的抛物线的解析式;(3)在(2)中的抛物线上是否存在点P,使△PMB构成以BM为直角边的直角三角形?若没有,请说明理由；若有,第六次模拟考试答题卡六模参考答案及评分标准21．解：原式12221221-⨯--+=…………4分 121221---+= …………6分 23-= …………8分 22.解：根据题意：AE ⊥CD 于E ，∠CAE=30°，∠DAE=45° AE=BD=40m …………2分 在Rt ⊿ACE 中，3340334030tan 0=⨯=⋅=AE CE …………4分 在Rt ⊿ADE 中，4014045tan 0=⨯=⋅=AE DE …………6分 ∴403340+=+=DE CE CD …………7分 答：大厦CD 的高度是m )403340(+.…………8分 23. 解：（1）根据题意作树形图第一张A B C D第二张 B C D A C D A B D A B C由树形图可得，所有等可能结果有12种，即AB 、AC 、AD 、BA 、BC 、BD 、CA 、CB 、CD 、DA 、DB 、DC 。
………………………………6分（2）取到两个数都是无理数（记事件为A ）的情况有2种∴P(A)=61122= …………………………10分 24. （1）方法1解：设一次函数的解析式（合作部分）是y kx b =+（0k k b ≠，，是常数）……1分 ∵图象经过点)41,3(和点)21,5(∴⎪⎪⎩⎪⎪⎨⎧=+=+215413b k b k ……2分 ∴⎪⎪⎩⎪⎪⎨⎧-==8181b k ……3分 ∴一次函数的解析式为1188y x =- …………4分 当1y =时，11188x -=， 解得9x = …………5分∴完成此房屋装修共需9天 …………6分方法2： 解：由函数图象可知：甲工作的效率是112………1分 乙工作的效率：11181224-= …………3分 甲、乙合作的天数：311641224⎛⎫÷+= ⎪⎝⎭（天） …………5分 ∵甲先工作了3天，∴完成此房屋装修共需9天…………6分（2）由正比例函数图象可知：甲的工作效率是112 …………7分 甲9天完成的工作量是：139124⨯= …………8分 ∴甲得到的工资是：3800060004⨯=（元） …………10分 25.证明：连结EC. …………1分∵AE 是⊙O 的直径，CD 是△ABC 中AB 边上的高∴∠ACE=∠CDB=90° …………4分又∵∠B=∠E …………5分∴⊿BDC ∽⊿ECA …………7分 ∴ACCD AE BC = …………9分 ∴AC·BC=AE·CD …………10分26.（12分）（1） 21~30 ； …… 2分（2） ∵总体印象感到满意的人数共有3408540000=⨯ …… 4分∴31~40岁年龄段总体印象感到满意的人数是：749245312654340=-----（人）…… 6分（3）16~20岁年龄段总体印象的满意率是000000841001640054≈⨯⨯…… 8分 41~50岁满意率是000000881001540053≈⨯⨯…… 10分 ∵31~40岁年龄段满意率是84%, 41~50岁年龄段满意率是88%,∴41~50岁年龄段比31~40岁年龄段对博览会总体印象的满意率高. …… 12分27.（12分）（1）设购进甲种商品进了x 件，则乙种商品进了（80-x ）件， …… 1分依题意得： 10x+30(80-x) =1700解得： x=3580-x=45 …… 4分即甲种商品进了35件，乙种商品进了45件. …… 5分(2)设购买甲种商品为x 件，则购买乙种商品为(80-x)件，依题意可得：600≤(15-10)x+(40-30)(80-x)≤612 …… 8分解得：37.6≤x ≤40 …… 9分因为x 取整数，所以x=38,39,40 …… 10分即有三种方案，方案一：购进甲种商品38件，乙种商品42件方案二甲种商品39件，乙种商品41件方案三甲种商品40件，乙种商品40件. …… 12分28.（13分）（1）(1)∵MO=MD=4,MC=3,∴M 、A 、B 的坐标分别为(0,4),(-4,0),(3,0) ………1分设BM 的解析式为b kx y +=； 则⎪⎩⎪⎨⎧=-=∴⎩⎨⎧+⨯=+⨯=4343004b k b k b k , ∴BM 的解析式为434+-=x y .………3分 (2)方法一：设抛物线的解析式为c bx ax y ++=2……4分则⎪⎩⎪⎨⎧=++=+-=c c b a c b a 43904160，解得⎪⎪⎪⎩⎪⎪⎪⎨⎧=-=-=43131c b a ∴431312+--=x x y …………6分 方法二：设抛物线的解析式为)3)(4(-+=x x a y ……4分将M （0，4）的坐标代入得31-=a ∴)3)(4(31-+-=x x y 431312+--=x x …………6分 （3）设抛物线上存在点P,使△PMB 构成直角三角形。