福建省厦门市第十一中学2019-2020学年度第一学期期中教学质量检测 九年级数学
福建省厦门市2019-2020学年九年级上学期期中英语试卷精选汇编：短文填空专题(答案不全)
短文填空专题福建省厦门市第十一中学2019-2020学年九年级上学期期中英语试题短文填词阅读下面短文，根据语境、音标或所给单词的提示，在每个空格内填入一个适当的词，要求所填的词意义准确、形式正确，使短文意思完整、行文连贯。
Why do we use the phrase “杏林高手” (expert in the apricot grove) to describe a highly-skilled doctor. Here is a great story about it.It’s_____61_____(say) that the phrase was first used to describe Dong Feng, a talented doctor who lived during the Three Kingdoms period (220-280). Dong was so skillful that he couldbring_______62_______ (die) people back to life. In addition to his amazing skills, Dong also had a kind_____63_____[hɑːt]. He never asked for payment from his ____64____(patient). Instead, he asked them to plant apricot( 杏) trees in his orchard( 果园) ____65____ they recovered from their illness - five trees if they were seriously ill, or just one tree if the illness was mild(轻微的).As Dong saved more people’s lives, _____66_____ number of apricot trees in his orchard grew. Over time, it became a large and beautiful grove( 树林). Dong decided that people could come to the grove with grain and exchange it for___67___[freʃ] apricots. Very soon his barn( 谷仓) was filled_____68_____grain, which Dong then gave away to poor people.Dong’s story became ______69______(wide) known after he passed away. Doctors in later dynasties( 朝代) did the same things Dong did in order to show their___70___[rɪˈspekt] for him. Gradually, people started to use “expert in the apricot grove” to describe doctors who were talented and had strong morals(品行).【答案】61. said62. dead 63. heart64. patients65. after 66. a67. fresh 68. with69. widely 70. respect【解析】【分析】文章介绍了“杏林高手”这个词的来历。
2023-2024学年福建省厦门十一中九年级(上)期中数学试卷(含答案)
2023-2024学年福建省厦门十一中九年级（上）期中数学试卷一、选择题（每小题4分，共40分.每小题有且只有一个选项正确）1．（4分）中国“二十四节气”已被列入联合国教科文组织人类非物质文化遗产代表作名录，下列四幅作品分别代表“立春”、“立夏”、“芒种”、“大雪”，其中不是轴对称图形的是（）A．B．C．D．2．（4分）下列一元二次方程中，一次项系数为3的是（）A．2x2+3x﹣1＝0B．x2+3＝0C．2x2﹣3x﹣1＝0D．3x2+2x﹣1＝03．（4分）抛物线y＝2x2﹣8与y轴的交点坐标是（）A．（0，﹣8）B．（﹣8，0）C．（2，0）D．（﹣2，0）4．（4分）已知⊙O的半径为5，点P在⊙O内，则OP的长可能是（）A．7B．6C．5D．45．（4分）如图，△ABC是等边三角形，D为BC边上的点，∠BAD＝15°，△ABD经旋转后到达△ACE的位置，那么旋转了（）A．75°B．60°C．45°D．15°6．（4分）2022年卡塔尔世界杯足球赛正在进行，小组内比赛采用单循环制，即每支球队必须和其余球队比赛一场．现A组有x支球队参加，共比赛了28场，则下列方程中符合题意的是（）A．x（x﹣1）＝28B．C．D．x（x+1）＝287．（4分）一个圆的内接正多边形中，一条边所对的圆心角为72°，则该正多边形的边数是（）A．4B．5C．6D．78．（4分）如图，在△ABC中，AB＝AC，∠BAC＝36°，AD⊥BC于点D，点E是AC上点，连接BE，交AD于点F，若AE＝BE，则下列说法正确的为（）A．点F为△ABC的外心B．点F为△ABC的内心C．点E、B、C在以F为圆心的同一个圆上D．点E为AC中点9．（4分）“直播带货”已经成为一种热门的销售方式，某主播代销某一品牌的电子产品（这里代销指厂家先免费提供货源，待货物销售后再进行结算，未售出的由厂家负责处理）．经调查发现每件售价99元时，日销售量为200件，当每件电子产品每下降1元时，日销售量会增加2件．已知每售出1件电子产品，该主播需支付厂家和其他费用共50元，设每件电子产品售价为x（元），主播每天的利润为w（元），则w与x之间的函数解析式为（）A．w＝（99﹣x）[200+2（x﹣50）]B．w＝（x﹣50）[200+2（x﹣99）]C．w＝（x﹣50）[200+2（99﹣x）]D．w＝（x﹣50）[200﹣2（99﹣x）]10．（4分）已知点A（a，2），B（b，2），C（c，7）都在抛物线y＝（x﹣1）2﹣2上，点A 在点B左侧，下列选项正确的是（）A．若c＜0，则a＜c＜b B．若c＜0，则a＜b＜cC．若c＞0，则a＜c＜b D．若c＞0，则a＜b＜c二、填空题（本大题有6小题，每小题4分，共24分）11．（4分）点（﹣2，1）关于原点对称的点的坐标为．12．（4分）如图，OA是⊙O的半径，弦BC⊥OA于点D，连结OB．若⊙O的半径为5cm，BC的长为8cm，则OD的长是cm．13．（4分）如图，四边形ABCD为⊙O的内接四边形，∠A＝70°，则∠DCE的度数为．14．（4分）若关于x的一元二次方程kx2﹣2x﹣1＝0有两个不相等的实数根，则实数k的取值范围是．15．（4分）如图，在△ABC中，∠BAC＝90°，AB＝AC＝10cm，点D为△ABC内一点，∠BAD＝15°，AD＝6cm，连接BD，将△ABD绕点A按逆时针方向旋转，使AB与AC 重合，点D的对应点为点E，连接DE，DE交AC于点F，则CF的长为cm．16．（4分）已知抛物线y＝ax2+bx+c，对任意的自变量x都有ax2+bx≥4a+2b，若该抛物线过点A（4﹣m，y1），B（m+1，y2），且y1＜y2，则m的取值范围是．三、解答题（本大题有9小题，共86分.解答应写出必要的文字说明、演算步骤或推理过程.）17．（10分）（1）解方程：x2+4x﹣2＝0；（2）解不等式组：．18．（7分）如图，AC是⊙O的直径，B，D是⊙O上的两点，连结AB，BC，CD，BD，若∠A+∠D＝80°，求∠ACB的度数．19．（7分）先化简，再求值：，其中．20．（8分）某市从2021年起连续投入资金用于“建设美丽城市，改造老旧小区”．已知每年投入资金的增长率相同，其中2021年投入资金1000万元，2023年投入资金1440万元．求该市改造老旧小区投入资金的年平均增长率．21．（8分）如图，已知△ABC．（1）在平面内将△ABC绕点C逆时针旋转60°得△DCE（点D对应点A）（要求尺规作图，不写作法，保留作图痕迹）；（2）在（1）的条件下，若DC⊥BC，AC＝AB，求证：直线BA经过点D．22．（10分）如图，已知⊙O的半径为2，AB是⊙O的直径，点P是AB延长线上一点．以PO为边作△OPC，使得PC＝PO，OC＝4，OC与⊙O的交点为D，连接AC，PD．（1）判断直线DP和⊙O位置关系；（2）若的长为，AC＝AP，延长PD交AC于点E，求证：EA＝EP．23．（10分）根据以下素材，探索完成任务．如何设计喷灌器喷水口的升降方案素材1随着自动化设备的普及，家庭庭院也引入自动喷灌系统．从喷水口喷出的水柱成抛物线形．如素材一的图是该喷灌器OA喷水时的截面示意图，喷水口A点离地高度为0.25m，喷出的水柱在离喷水口水平距离为2m处达到最高，高度为0.45m，且水柱刚好落在庭院围墙和地面的交界B点处．素材2若准备在庭院内沿围墙建花坛种植绣球花，花坛高0.4m，宽0.8m，侧面用大理石包围，长方形BCDE是花坛截面，如图．调整喷水口的高度，喷出的水柱形状与原来相同，水柱落在花坛的上方DE边上（大理石厚度不计），达到给花坛喷灌的效果．问题解决任务1确定喷灌器的位置求出喷灌器OA与围墙的距离．任务2拟定喷头升降方案调整喷水口的高度，使水柱可以喷灌花坛，求喷水口距离地面高度的最小值．24．（12分）已知抛物线y＝x2﹣2mx﹣3（m为常数）．（1）求抛物线的顶点坐标（用含m的代数式表示）；（2）当m≥1时，求抛物线顶点到x轴的最小距离；（3）当m＝0时，点A，B为该抛物线上的两点，顶点为D，直线AD的解析式为y1＝k1x+b1，直线BD的解析式为y2＝k2x+b2，若k1k2＝﹣，求证：直线AB过定点．25．（14分）如图1，四边形ABCD为正方形，点E为AD上的定点，点F是射线BE上的动点，连接AF．将点F绕点A逆时针旋转90°得到点H，连接AH，过点F，H分别作AF和AH的垂线交于点G，射线DH与射线BE交于点P．（1）求证：四边形AFGH为正方形；（2）点F在运动过程中，判断点P的位置是否发生变化？并说明理由；（3）连接CG，PG，AP，探究线段AB，AP，CG，PG的数量关系，并证明．2023-2024学年福建省厦门十一中九年级（上）期中数学试卷参考答案一、选择题（每小题4分，共40分.每小题有且只有一个选项正确）1．C；2．A；3．A；4．D；5．B；6．B；7．B；8．B；9．C；10．D；二、填空题（本大题有6小题，每小题4分，共24分）11．（2，﹣1）；12．3；13．70°；14．k＞﹣1且k≠0；15．（10﹣2）；16．m＞；三、解答题（本大题有9小题，共86分.解答应写出必要的文字说明、演算步骤或推理过程.）17．（1）x1＝﹣2+，x2＝﹣2﹣；（2）﹣3≤x＜1．；18．50°．；19．，．；20．20%．；21．；22．（1）直线DP和⊙O相切，理由见解析；（2）见解析．；23．任务1：5m；任务2：0.442m．；24．（1）（m，﹣m2﹣3）；（2）抛物线顶点到x轴的最小距离为4；（3）直线AB过定点（0，﹣）．； 25．（1）证明见解答过程；（2）点F在运动过程中，点P的位置不发生变化，理由见解答过程；（3）AP2+（CG+PG）2＝2AB2，理由见解答过程．；。
2019-2020 年厦门市第十一中学九年级第一学期期中教学质量检测英语试卷word无答案版(不含听
2019-2020 学年厦门市第十一中学九年级第一学期期中教学质量检测英语（试卷满分：150 分；考试时间：120 分钟；命题人：；审核人：）本卷八大题，91 小题，试卷共 11 页。
本试卷分为两大部分，第一部分（1-65 小题）为选择题，考生将答案用 2B 铅笔填涂在答题卡上；第二部分为非选择题，请考生将答案用 0.5 毫米的黑色签字笔书写在答题卡上。
第一部分（选择题）I.听力测试（共三节，20 小题，每小题1.5 分，满分30 分）第一节. 听句子，听下面五个句子，从每小题所给的三幅图中选出与句子内容相符的选项。
每个句子读两遍。
第二节. 听对话，听下面七段对话，从每小题所给的A、B、C 三个选项中选出正确答案。
每段对话读两遍。
听第一段对话，回答第 6 小题。
6.What date is it probably today?A.June 1.B. September 10.C. October 1.听第二段对话，回答第7 小题。
7.What does Lucy look like now?A.She has short curly hair.B. She has long straight hair.C. She has short straight hair.听第三段对话，回答第8 小题。
8.What is the model plane made of?A.Steel.B. Paper.C. Wood.听第四段对话，回答第9 小题。
9.Where does the woman want to go?A.To a library.B. To a bookstore.C. To a bank.听第五段对话，回答第10、11 小题。
10.What did Mr. Wilson want the man to do?A.Give a talk to the students.B. Stop making trouble.C. Improve all his subjects.11.What is the man most probably?A.An English teacher.B. A football player.C. A student.听第六段对话，回答第12、13 小题。
厦门十一中2019—2020学年九年级上数学期中考试
2019-2020学年厦门市第十一中学九年级第一学期期中教学质量检测数 学（试卷满分：150分；考试时间：120分钟)班级： 姓名： 考号： 温馨提醒：1.本卷共三大题，25小题，试卷共4页2.请认真审题，并在答题卡的相应区域内答题，在本卷中作答无效.一、选择题：(本大题共10小题，每小题4分，共40分 ） 1.下列图形中，属于中心对称图形的是A . 等边三角形B . 直角三角形C . 菱形D . 对角互补的四边形 2．用配方法解一元二次方程2210x x +-=，配方后得到的方程是A.2(1)2x += B.2(1)3x -=C.2(1)2x -= D.2(1)3x +=3．已知⊙O 的直径为6，点P 到圆心O 的距离为4，则点P 在A ．⊙O 内B ．⊙O 外C ．⊙O 上D ．无法确定4．已知关于x 的一元二次方程0122=-+x mx 有两个不相等的实数根，则m 的取值范围是 A ．01≠->m m 且 B ．01≠<m m 且 C ．1-<m D ．1>m5. 抛物线y ＝2(x －2)2＋5向左平移3个单位长度，再向下平移2个单位长度，此时抛物线的对称轴是A . 2=xB .1-=xC .5=xD . 1=x6．如图1，已知□ABCD 的两条对角线AC 与BD 交于平面直角坐标系的原点，点A 的坐标为(－2，3)，则点C 的坐标是A ．(－3，2)B ．(－2，－3)C ．(3，－2)D ．(2，－3) 7.如图2，点C 在︵AB 上，点D 在半径OA 上，则下列结论正确的是A . ∠DCB ＋12∠O ＝180° B ．∠ACB ＋∠O ＝180°C ．∠ACB ＋12∠O ＝180° D ．∠CAO ＋∠CBO ＝确的是所示，则下列判断不正的部分对应值如表、的二次函数1.82y x c bx ax y ++=30.2有一个根是方程=++c bx ax D 2-,4.==y x C 时当1.=x B 对称轴是直线的增大而增大随时，当x y x A 0.<180°图2 表19．两年前生产1吨甲种药品的成本是5000元．随着生产技术的进步，成本逐年下降，第二年的年下降率是第1年的年下降率的2倍，现在生产1吨甲种药品成本是2400元．为求第一年的年下降率，假设第一年的年下降率为x ，则可列方程 A ．24002-15000=-）（x xB ．2400)1(50002=-xC ．24002-5000=-x xD ．2400)21(15000=--x x ）（10.如图，⊙P 与x 轴交于点A （-5，0），B （1，0），与y 轴的正半轴交于点C ，若∠ACB=60°，则点C 的纵坐标为A.313+B.322+C.24D.222+二、填空题：(本大题共6小题，每小题4分，共24分．把答案填在答题卡的相应位置) 11.如果方程0622=-+kx x 的一个根是3-，则=k ____.12.如图1，在平面直角坐标系中，点A 、B 的坐标分别是A (3,0)、B (0,4)，把线段AB 绕点A 旋转后得到图1线段AB′，使点B 的对应点B′落在x 轴上，则点B′的坐标是 .13.我国南宋数学家杨辉在1275年提出一个这样的问题：“直田积（矩形面积）八百六十四步（平方步），只云阔（宽）不及长一十二步（宽比长少一十二步），问阔及长各几步”。
2019-2020学年厦门市第十一中学高三英语期中试卷及参考答案
2019-2020学年厦门市第十一中学高三英语期中试卷及参考答案第一部分阅读（共两节，满分40分）第一节（共15小题；每小题2分，满分30分）阅读下列短文，从每题所给的A、B、C、D四个选项中选出最佳选项AWe are proud to present a showcase for kid inventions from children chosen from the Kid's Forum at Blue Print Earth. We hope you enjoy the ideas expressed here and join us in supporting the next generation.Eater of Natural DisastersMy invention cansave your home by sucking up all-natural disasters. The government will not own this machine, but by you so there will be no taxes on it. Order Now! The Eater of Natural Disasters will run on renewable batteries. It will cost 50 dollars to make and I will sell it for just $ 75.Created by Matthew Szekeresh —Mt.WashingtonElementary, 5th Grade.Pick-up-Pollution BombMy invention is called the Pick-up-Pollution Bomb. It will just pick up pollution and it won't hurt anything else like people, animals, property, playgrounds, and parks. The reason why I made it is that I think there is too much pollution on the Earth. It sells for $100 apiece, and if you buy this now, I will send you another one for free.Created gratefully by Lauren Newberry — Mt. Washington Elementary, 5th GradeFlying HouseMy invention is a home that will blast off in space. For example, if there were an earthquake people would immediately blast off, or if there were a flood it would take off. Only for $ 400.99.Created by David Turner —Mt.WashingtonElementary, 5th GradeBug RobotMy invention is a robot that catches little bugs, eats little bugs, sucks up pollution, sucks up natural disasters, and turns them into food solving the problems of too many little bugs, natural disasters, pollution and starvation. My product is worth $500. My invention works on 2 triple — A batteries. And if you order one today I'll throw in 4 rechargeable triple-A batteries.Created by Cassie Courtey —Mt.WashingtonElementary, 5th Grade1. Why is the Flying House created?A. To explore the space.B. To clean the air.C. To prepare people for earthquakes.D. To help people escape from natural disasters.2. Which invention can turn pollution into food?A. The Bug Robot.B. The Pick-up-Pollution Bomb.C. The Flying House.D. The Eater of Natural Disasters.3. What can we infer about the four inventions?A. They are very easy to build.B. They are ideas from kids in the same school.C. They are expensive but of practical use.D. They are being used by people.BEarthquake can disrupt whales’ hunting for food for up to a year,according to a new study.On November 14, 2016, the Kaikoura earthquake struck New Zealand’s South Island, causing a destructive tsunami. Under the surface, the earthquake caused strong currents that swept away and mostly killed off diverse ecosystems of creatures living along the Kaikoura underwater canyon.As a result, whales had to dive deeper and longer to find food—“a major shift” in their behavior, says co-author Liz Slooten, a marine biologist at the University of Otago in New Zealand.The impact earthquakes have on land animals has been well documented, but scientists know ly little about what happens underwater. Such research is important for government agencies, which may need to take recent earthquakes into consideration when considering fishing quotas（限额）, notes Rochelle Constantine, a marine mammal ecologist at the University of Auckland.The canyon’s upper reaches are rich in creatures, supplying food for the fish that make up the whales’ diet. So when these smaller life forms were washed away, it had “severe consequences for the community around there”, says study co-author Will Rayment. “That effect flowed all the way through the food chain.”As part of their ongoing study, the scientists were tracking 42 individual whales. After the earthquake, in all, the team managed to record data on 40 whales, showing that the abundance of whales in the general area didn’t change after the earthquake. However, the whales changed how they used their habitat.A year after the earthquake, the researchers observed the whales returning to their previous surface-breathing intervals. This could have been because the communities of animals that make up the whales’ food began to recover. “It gives you an idea of how resilient（有复原力的）these deep-sea communities are,” says Rayment.But he and his colleagues will continue long-term monitoring to see if there are effects they missed. Whale activity in the area had already been declining, though it’s unknown whether it is due to natural changes in food abundance, whale-watching tourism, fishing, or warming ocean temperatures. “There is something going on inKaikoura,” says Rayment.4. What happened after the Kaikoura earthquake in the Kaikoura canyon?A. Several destructive tsunamis struck the area.B. Whales had to swim to other oceans to find food.C. Nearly all marine creatures in Kaikoura were killed off.D. Strong currents washed away many smaller creatures.5. Which is one of the findings of the study?A. Earthquakes can make it easier for whales to find food.B. The whales changed their habitat after the earthquake.C. It usually takes whales a year to adapt to their new diet.D. The number of whales in the area dropped sharply after the quake.6. What does Rochelle Constantine think of the study?A. It can help government agencies to make some decisions about fishing.B. It can help government agencies to solve problems in the fishing industry.C. It is a breakthrough in research on what happens underwater after an earthquake.D. It offers a detailed description of the impact earthquake have on marine mammals.7. What can we infer from the last paragraph?A. Something is affecting the whale activity in Kaikoura.B. Fishing quotas have been increasing in recent years.C. The team missed some effects in the research process.D. The scientists will continue studying earthquakes.CPreventing heart disease is a topic I think about all the time, given my family history of heart disease. So last summer, I travelled toBolivia.The natives, called the Tsimane, were reported to have the healthiest hearts in the world. I wanted to learn what they could teach me about preventing heart disease.Getting to the Tsimane wasn't easy. They lived in small family groups of about 60 people along river banks. We finally found one of the villages at sunset. That night, we set up our tents in the middle of the village. Thatched huts surrounded us, with no electricity or modem conveniences.At first, I thought they mainly got their calorics from meat. However, I found food such as rice and com made up nearly 70% of their diet. The food was not processed, lacking added sugars or salts.During my stay there, I went hunting and fishing with the men and played soccer with the kids. I found the Tsimane were standing or walking nearly all of their waking hours. Men spent lots of time tracking animals. Fanning and gathering, mostly done by children and women, were all-day affairs.I also got a clear idea of how they rested. As soon as the sun went down, people returned to their huts and went to sleep. And with the call of the cock in the morning, another day began.The lifespan of the Tsimane is actually much shorter than those living in theUS. Various factors, like animal attacks and infections, bring down the lifespan. But up until the day they die, they are often very healthy. While heart disease kills thousands of Americans every year and costs nearly a billion dollars a day, the Tsimane remind us that wealth doesn't necessarily buy health.8. Why does the author pay so much attention to preventing heart disease?A. He dreams of becoming a doctor.B. He wants to teach others about the topic.C. His family members encourage him to do so.D. He was born with a high risk of heart disease.9. Which factors did the author mainly focus on in his research?A. Housing, food and cooperation.B. Diet, activity and rest.C. Physical work, social life and lifespan.D. Group size, family history and consumption10. What was the Tsimane 's sleep-wake cycle mainly based on?A. Natural sound.B. Routine activity.C. Animal behaviour.D. Natural light.11. What might the author advise us to do after his travels inBolivia?A. Take in less sugar and salt.B. Stand less and walk more.C. Eat white meat instead of red meat.D. Live in the middle of the community.DOne day when I was 5, my mother criticized me for not finishing my rice and I got angry. I wanted to play outside and not to be made to finish eating my old rice. In my angry motion to open the screen door (纱门) with my foot, I kicked back about a 12-inch part of the lower left hand corner of the new screen door. But I had no regret, for I was happy to be playing in the backyard with my toys.Today, I know if my child had done what I did, I would have criticized my child, and told him about how expensive this new screen door was, and I would have delivered a spanking (打屁股) for it. But my parents neversaid a word. They left the corner of the screen door pushed out, creating an opening, a crack in the defense against unwanted insects.For years, every time I saw that corner of the screen, it would remind me of my mistake from time to time. For years, I knew that everyone in my family would see that hole and remember who did it. For years, every time I saw a fly buzzing in the kitchen, I would wonder if it came in through the hole that I had created with my angry foot. I would wonder if my family members were thinking the same thing, silently blaming me every time a flying insectentered our home, making life more terrible for us all. My parents taught me a valuable lesson, one that a spanking or stern (严厉的) words perhaps could not deliver. Their silent punishment for what I had done delivered a hundred stern messages to me. Aboveall, it has helped me become a more patient person and not burst out so easily.12. When the author damaged the door, his parents _______.A. scolded him for what he had doneB. left the door unrepairedC. told him how expensive it wasD. gave him a spanking13. How did the author feel every time he saw the damaged door?A. He felt ashamed of his uncontrolled anger at that time.B. He found that his family members no longer liked him.C. He found it destroyed the happy atmosphere at his home.D. He felt he had to work hard to make up for (弥补) the damage.14. The experience may cause the author _______.A. to hide his anger away from othersB. not to go against his parents’ willC. to have a better control of himselfD. not to make mistakes in the future15. What of the following is the main idea of this passage?A. Adults should ignore their children’s bad behavior.B. Parents shouldn’t educate their children.C. What is the best way to become a more patient person?D. Silent punishment may have a better effect on educating people.第二节（共5小题；每小题2分，满分10分）阅读下面短文，从短文后的选项中选出可以填入空白处的最佳选项。
福建省厦门市第十一中学2024-2025学年九年级上学期期中质量检测数学试卷
福建省厦门市第十一中学2024-2025学年九年级上学期期中质量检测数学试卷一、单选题1．如图所示图形中，既是轴对称图形又是中心对称图形的是（）A ．B ．C ．D ．2．在平面直角坐标系xOy 中，点()1,4P -关于原点对称的点的坐标是（）A ．()1,4--B ．()1,4-C ．()1,4D ．()1,4-3．抛物线22y x =-+的顶点坐标为（）A ．()0,2B ．()0,2-C ．()2,0-D ．()2,04．如图，点A ，B ，C 均在O 上，80AOB ∠=︒，则ACB ∠的度数为（）A ．80︒B ．60︒C ．50︒D ．40︒5．若关于x 的一元二次方程240x x c -+=有两个相等的实数根，则实数c 的值为（）A ．16-B ．4-C ．4D ．166．如图，某汽车车门的底边长为1m ，车门侧开后的最大角度为72︒，若将一扇车门侧开，则这扇车门底边扫过区域的最大面积是（）A ．2m 10πB ．2m 5πC ．22m 5πD ．24m 5π7．某校开展课外阅读活动，经过两年，2021级的学生人均阅读量从七年级的每年36万字增长到九年级时的每年49万字，设2021级的学生人均阅读量年平均增长率为x ，根据题意列出方程，正确的是（）A ．()236149x +=B ．()362149x ⨯+=C ．()361249x +=D ．()()236136149x x +++=8．已知O 的半径是3cm ，点O 到同一平面内直线l 的距离为一元二次方程2340x x --=的根，则直线l 与O 的位置关系是（）A ．相交B ．相切C ．相离D ．无法判断9．如图，二次函数21y ax bx =-的图象与正比例函数2y kx =的图象交于点()3,2A ，与x 轴交于点()2,0B ，若120y y <<，则x 的取值范围是（）A ．02x <<B ．03x <<C ．0x <或3x >D ．23x <<10．如图，在平面直角坐标系中，有()1,0A -，()0,1B ，()3,2P -三点，若点C 是以点P 为圆心，1为半径的圆上一点，则ABC V 的面积最大值为（）A ．22+B ．22-C ．2D ．2二、填空题11．二次函数2y 2(x 1)3=-+的图象的对称轴是直线．12．若O 的半径为2，M 为平面内一点，3OM =，则点M 在O ．（填“上”、“内部”或“外部”）13．已知1x =是方程230x mx -+=的解，则m 的值为．14．我国东汉初年的数学典籍《周髀算经》中总结了对几何工具“矩”（即直角形状的曲尺，如图1所示）的使用之道，其中就有“环矩以为圆”的方法．我国许多数学家对该方法作了如下更具体的描述：如图2所示，在平面内固定两个钉子A ，B ，保持“矩”的两边始终紧靠两钉子的内侧，转动“矩”，则“矩”的顶点C 的运动路线将会是一个圆．依此描述，请用你学过的一个数学概念或定理解释“环矩以为圆”这种方法的道理：．15．如图，在ABC V 和ADE V 中，40AB AC BAC DAE =∠=∠=︒，，将ADE V 绕点A 顺时针旋转一定角度，当AD BC ∥时，BAE ∠的度数是．16．在平面直角坐标系xOy 中，()11,A x y ，()22,B x y ，()33,C x y 是二次函数241y x x =-+-图象上三点．若101x <<，24x >，则1y 2y （填“>”或“<”）；若对于11m x m <<+，212m x m +<<+，323m x m +<<+，存在132y y y <<，则m 的取值范围是．三、解答题17．解方程：2430x x -+=．18．如图，AB 是O 的直径，CD 是O 的弦，CD AB ⊥于点E ，点F 在O 上且CF CA =，连接AF ．求证：AF CD =；19．先化简、再求值：2221111a a a -⎛⎫÷- ⎪-+⎝⎭，其中a =20．习近平总书记说：“读书可以让人保持思想活力，让人得到智慧启发，让人滋养浩然之气．”学校为响应我市全民阅读活动，利用节假日面向社会开放学校图书馆．据统计，第一个月进馆200人次，进馆人次逐月增加，到第三个月来进馆288人次．若进馆人次的月平均增长率相同，求进馆人次的月平均增长率．21．按照下列要求作出图形（不写作法，保留作图痕迹）．(1)尺规作图：将图1中的破轮子复原(2)如图2，矩形ABCD 的顶点A 在圆上，顶点B ，C ，D 在圆内，请仅用无刻度的直尺画出图2中的圆心O ．22．如图，以点O 为圆心，AB 长为直径作圆，在O 上取一点C ，延长AB 至点D ，连接DC ，DCB DAC ∠=∠，过点A 作AE AD ⊥交DC 的延长线于点E ．(1)求证：CD 是O 的切线；(2)若42CD DB ==，，求AE 的长．23．如图，已知二次函数2y x bx c =++的图象与x 轴交于,A B 两点，与y 轴交于点C ，其中()()2,0,0,2A C --．(1)求二次函数的表达式；(2)若P 是二次函数图象上的一点，且点P 在第二象限，线段PC 交x 轴于点,D PDB △的面积是CDB △的面积的2倍，求点P 的坐标．24．在ABC V 中，AB AC =，120BAC ∠=︒，D 为BC 上一点，连接DA ，将线段DA 绕点D 顺时针旋转60︒得到线段DE ．(1)如图1，当点D 与点B 重合时，连接AE ，交BC 于点H ，求证：AE BC ⊥；(2)当BD CD ≠时（图2中BD CD <，图3中BD CD >），F 为线段AC 的中点，连接EF ．在图2，图3中任选一种情况，完成下列问题：①依题意，补全图形．②猜想AFE ∠的大小，并证明．25．【问题提出】在绿化公园时，需要安装一定数量的自动喷洒装置，定时喷水养护，某公司准备在一块边长为18m 的正方形草坪（如图1）中安装自动喷洒装置，为了既节约安装成本，又尽可能提高喷洒覆盖率，需要设计合适的安装方案．说明：一个自动喷洒装置的喷洒范围是半径为()m r 的圆面．喷洒覆盖率k sρ=，s 为待喷洒区域面积，k 为待喷洒区域中的实际喷洒面积．【数学建模】这个问题可以转化为用圆面覆盖正方形面积的数学问题．【探索发现】（1）如图2，在该草坪中心位置设计安装1个喷洒半径为9m 的自动喷洒装置，该方案的喷洒覆盖率ρ=______．（2）如图3，在该草坪内设计安装4个喷洒半径均为9m 2的自动喷洒装置；如图4，设计安装9个喷洒半径均为3m 的自动喷洒装置；⋅⋅⋅⋅⋅⋅，以此类推，如图5，设计安装2n 个喷洒半径均为9m n 的自动喷洒装置．与（1）中的方案相比，采用这种增加装置个数且减小喷洒半径的方案，能否提高喷洒覆盖率？请判断并给出理由．（3）如图6所示，该公司设计了用4个相同的自动喷洒装置喷洒的方案，且使得该草坪的喷洒覆盖率1ρ=．已知正方形ABCD 各边上依次取点F ，G ，H ，E ，使得AE BF CG DH ===，设()m AE x =，1O 的面积为()2my ，求y 关于x 的函数表达式，并求当y 取得最小值时r 的值．【问题解决】（4）该公司现有喷洒半径为的自动喷洒装置若干个，至少安装几个这样的喷洒装置可使该草坪的喷洒覆盖率1ρ=？（直接写出结果即可）。
2019-2020学年（上）厦门市初三年质量检测及答案
2019-2020学年（上）厦门市初三年质量检测学年（上）厦门市初三年质量检测注意事项：1.全卷三大题，25小题，试卷共5页，另有答题卡.2. 答案必须写在答题卡上，否则不能得分.3. 可以直接使用2B 铅笔作图.一、选择题（本大题有10小题，每小题4分，共40分.每小题都有四个选项，其中有且只有一个选项正确）有一个选项正确）1. 用求根公式计算方程0232=+-x x 的根，公式中b 的值为的值为A.3B.-3C.2D.23- 2. 方程()012=-x 的根是的根是A. 121==x x B.0,121==x x C.0,121=-=x x D.1,121-==x x3.如图1，四边形ABCD 的顶点A ，B ，C 在圆上，且边CD 与该圆交于点E ，AC ，BE 交于点F .下列角中，弧AE 所对的圆周角是所对的圆周角是A.∠ADEB.∠AFEC.∠ABED.∠ABC 4.下列事件中，是随机事件的是下列事件中，是随机事件的是 A.画一个三角形，其内角和是180°B.在只装了红色卡片的袋子里，摸出一张白色卡片在只装了红色卡片的袋子里，摸出一张白色卡片C.投掷一枚正六面体骰子，朝上一面的点数小于7D.在一副扑克牌中抽出一张，抽出的牌是黑桃65.图2中的两个梯形成中心对称，点p 的对称点是的对称点是 A.点A B.点B C.点CD.点D 6.抛物线1C 向右平移4个单位长度后与抛物线2C 重合，若（-1，3）在抛物线1C 上，则下列点中，一定在抛物线2C 上的是上的是A. （3,3）B.（3，-1）C.（-1,7）D.（-5,3） 7. 如图3，将命题“在同圆中，相等的圆心角所对的弧相等，所对的弦也相等”改写成“已知……求证……”的形式，下列正确的是的弦也相等”改写成“已知……求证……”的形式，下列正确的是A.已知：在⊙O 中，∠AOB=∠COD ，弧AB=弧CD.求证：AB=CDB.已知：在⊙O 中，∠AOB=∠COD ，弧AB=弧BC.求证：AD=BCC.已知：在⊙O 中，∠AOB=∠COD.求证：弧AD=弧BC ，AD=BC D.已知：在⊙O 中，∠AOB=∠COD.求证：弧AB=弧CD ，AB=CD8.一个不透明的盒子里只装有白色和红色两种颜色的球，这些球除颜色外没有其他不同。
2019-2020学年厦门市第十一中学高三英语期中考试试题及答案
2019-2020学年厦门市第十一中学高三英语期中考试试题及答案第一部分阅读（共两节，满分40分）第一节（共15小题；每小题2分，满分30分）阅读下列短文，从每题所给的A、B、C、D四个选项中选出最佳选项ALocated in the beautiful Sichuan Basin, Chongqing is a magical 8D city. The natural history and cultural scenery of the area provide children with learning opportunities because they can enjoy the many wonders of this area.Fengjie Tiankeng Ground JointTiankeng Diqiao Scenic Area is located in the southern mountainous area of Fengjie County. The Tiankeng pit is 666 meters deep and is currently the deepest tiankeng in the world. The scenic spot is divided into ten areas including Xiaozhai Tiankeng, Tianjingxia Ground, Labyrinth River, and Longqiao River. There are many and weird karst cave shafts, and countless legends haunt them.Youyang Peach GardenYouyang Taohuayuan Scenic Area is a national forest park, a national 5A-level scenic spot, and a national outdoor sports training base. Located in the hinterland of Wuling Mountain. The Fuxi Cave in the scenic spot is about 3,000 meters long, with winding corridors, deep underground rivers, and color1 ful stalactites. The landscape is beautiful.Jinyun Mountain National Nature ReserveJinyun Mountain is located in Beibei District of Chongqing City, about 45 kilometers away from the Central District of Chongqing City. The nine peaks of Jinyun Mountain stand upright and rise from the ground. The ancient trees on the mountain are towering, the green bamboos form the forest, the environment is quiet, and the scenery is beautiful, so it is called "Little Emei". Among them, Yujian Peak is the highest, 1050 meters above sea level; Lion Peak is the most precipitous and spectacular, and the other peaks are also unique.Chongqing People's SquareChongqing's Great Hall of the People, one of the landmarks of Chongqing, gives people the deepest impression than its magnificent appearance resembling the Temple of Heaven. It also uses the traditional method of central axis symmetry, with colonnade-style double wings and a tower ending, plus a large green glazed roof, large red pillars, white railings, double-eave bucket arches, and painted carved beams.1.How deep is the Tiankeng Ground Joint?A.666mB.3,000mC.45kmD.1050m2.Which of the following rocks can you see in Youyang Peach Garden?A.LimestoneB.StalactiteC.MarbleD.Quartzite3.Which attraction is closest to downtown Chongqing?A.Fengjie Tiankeng Ground JointB.Jinyun Mountain National Nature ReserveC.Chongqing People's SquareD.Youyang Peach GardenBIn 2002, young Elon Musk tried unsuccessfully to buy Russian rockets to help him send mice to Mars and back. Afterwards, the youngmillionaire decided to build his own rockets.Musk went to Southern California and started hiring people to help bring his dream to life. In a very short time, and despite some failures, his company SpaceX launched Falcon 1, the first successful privately-built liquid fuel rocket, into Earth's orbit in 2008.As the first Falcon rocket began testing, development was already underway for the Falcon 9. This much larger rocket, which uses nine engines to lift heavy payloads（有效载荷）into orbit, is engineered to return to Earth, ready to be reused for another flight.For Musk, space is the final destination. To help people get there, his company Neuralink is developing devices that will link people's brains with computers. A similar device has been developed at the University of Utah. It consists of a chip（芯片）with 256 threads（线程）that is placed between a person's skin and brain. The threads attach directly to brain tissue（脑组织）.Patients who have the device are able to use only their minds to communicate with one another through computers.Neuralink's chips will have about 1,000 threads. A robot developed by the company will place up to ten chips under a person's skin. The chips will communicate without wires but with a tiny device that will be worn behind the person's ear. That device, in turn, will communicate with computers. The primary market for the technology will be for people that, because of injuries or birth defects, cannot control their hands and arms. With Neuralink^ product, they'll be able to mentally command a computer to type messages for them or carry out other tasks.4. According to this article, what was the first Falcon 1 able to do?A. Launch big satellites.B. Reach distant moons.C. Move around our planet.D. Study the universe.5. What does the article explain about Neuralink's chips?A. How they'll be set up.B. What safety features they'll have.C. How much money they'll earn.D. Where they'll be produced.6. According to this article, who is Neuralink going to market its product to first?A. Those who own great wealth.B. Those who are physically disabled.C. Those who travel internationally.D. Those who do research on plants.7. In which publication is this article most likely to appear?A. The Journal of Environmental Studies.B. Advances in Business and Technology.C. Digest of Fashion and Entertainment News,D. Consumer's Guide to Outdoor Recreation.CTo show empathy is to identify with another’s feelings. It is to emotionally put yourself in the place of another. The ability to empathize is directly dependent on your ability to feel your own feelings and identify them.If you have never felt a certain feeling, it will be hard for you to understand how another person is feeling. If you have never put your hand in a flame, you will not know the pain of fire. If you have not experienced jealousy, you will not understand its power.Readingabout a feeling and intellectually knowing about it is very different than actually experiencing it for yourself.Among those with an equal level of emotional intelligence, the person who has actually experienced the widest range and variety of feelings — the great depths of depression and the heights of fulfillment, for example, — is the one who is most able to empathize. On the other hand, when we say that someone “can’t relate” to other people, it is likely because they haven’t experienced, acknowledged or accepted many feelings of their own.Once you have felt discriminated against, for example, it is much easier to relate with someone else who has been discriminated against. Our innate emotional intelligence gives us the ability to quickly recall those instances and form associations when we encounter discrimination again. We then can use the “reliving” of those emotions to guide our thinking and actions. This is one of the ways nature slowly evolves towards a higher level of survival.For this process to work, the first step is that we must be able to experience our own emotions. This means we must be open to them and not distract ourselves from them or try to numb ourselves from our feelingsthrough drugs, alcohol, etc.Next, we need to become aware of what we are actually feeling — to acknowledge, identify, and accept our feelings. Only then can we empathize with others. That is one reason why it is important to work on your own emotional awareness and sensitivity — in other words, to be “in touch with” your feelings.8. How does the author explain the feelings of empathy?A. By giving examples.B. By having classification.C. By making comparison.D. By providing data.9. Which statement may the author agree with?A. Low level of empathy leads to fewer varieties of feelings.B. The deeper one’s feelings are, the more empathetic one is.C. Empathy is a way we recently picked up for better survival.D. Rich experiences may not go with a high level of empathy.10. What’s the purpose of the last two paragraphs of the text?A. To advise a sincere attitude to one’s experiences.B To suggest a right understanding of empathy.C. To require a realbond with one’s emotions.D. To call for true acceptance of one’s feelings.11. What is the best title for the text?A. How Empathy UnfoldsB. Be Open to Your EmotionsC. Why Is Empathy ImportantD. Accept Your True SelfDWhat will people die of 100 years from now? If you think that is a simple question，you have not been paying attention to the revolution that is taking place in bio-technology（生物技术）. With the help of new medicine，the human body will last a very long time. Death will come mainly from accidents，murder and war. Today’s leading killers，such as heart disease，cancer，and aging itself，will become distant memories.In discussion of technological changes，the Internet gets most of the attention these days. But the change in medicine can be the real technological event of our times. How long can humans live? Human brains were known to decide the final death. Cells（细胞）are the basic units of all living things，and until recently，scientists were sure that the life of cells could not go much beyond 120 years because the basic materials of cells，such as those of brain cells，would not last forever. But the upper limits will be broken by new medicine. Sometime between 2050and 2100，medicine will have advanced to the point at which every 10 years or so，people will beable to take medicine to repair their organs（器官）. The medicine，made up of the basic building materials of life，will build new brain cells，heart cells，and so on－in much the same way our bodies make new skin cells to take the place of old ones.It is exciting to imagine that the advance in technology may be changing the most basic condition of human existence，but many technical problems still must be cleared up on the way to this wonderful future.12. According to the passage，human death is now mainly caused by ________.A. diseases and agingB. accidents and warC. accidents and agingD. heart disease and war13. In the author’s opinion，today’s most important advance in technology lies in（在于）________.A. the InternetB. medicineC. brain cellsD. human organs14. Humans may live longer in the future because ________.A. heart disease will be far away from usB. human brains can decide the final deathC. the basic materials of cells will last foreverD. human organs can be repaired by new medicine15. How long can humans live in the future according to the passage?A. Over 100 years.B. More than 120 years.C. About 150 years.D. The passage doesn’t tell us.第二节（共5小题；每小题2分，满分10分）阅读下面短文，从短文后的选项中选出可以填入空白处的最佳选项。
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2019-2020学年厦门市第十一中学九年级第一学期期中教学质量检测
数 学
（试卷满分：150分；考试时间：120分钟)
班级： 姓名： 考号： 温馨提醒：1.本卷共三大题，25小题，试卷共4页
2.请认真审题，并在答题卡的相应区域内答题，在本卷中作答无效.
一、选择题：(本大题共10小题，每小题4分，共40分 ） 1.下列图形中，属于中心对称图形的是
A . 等边三角形
B . 直角三角形
C . 菱形
D . 对角互补的四边形 2．用配方法解一元二次方程2210x x +-=，配方后得到的方程是
A.2
(1)2x += B.2
(1)3x -=
C.2
(1)2x -= D.2(1)3x +=
3．已知⊙O 的直径为6，点P 到圆心O 的距离为4，则点P 在
A ．⊙O 内
B ．⊙O 外
C ．⊙O 上
D ．无法确定
4．已知关于x 的一元二次方程0122=-+x mx 有两个不相等的实数根，则m 的取值范围是 A ．01≠->m m 且 B ．01≠<m m 且 C ．1-<m D ．1>m
5. 抛物线y ＝2(x －2)2＋5向左平移3个单位长度，再向下平移2个单位长度，此时抛物线的对称轴是
A . 2=x
B .1-=x
C .5=x
D . 1=x
6．如图1，已知□ABCD 的两条对角线AC 与BD 交于平面直角坐标系的原点，点A 的坐标为(－2，3)，则点C 的坐标是
A ．(－3，2)
B ．(－2，－3)
C ．(3，－2)
D ．(2，－3) 7.如图2，点C 在︵
AB 上，点D 在半径OA 上，则下列结论正确的是
A . ∠DC
B ＋12∠O ＝180° B ．∠ACB ＋∠O ＝180°
C ．∠ACB ＋1
2
∠O ＝180° D ．∠CAO ＋∠CBO ＝
确的是
所示，则下列判断不正的部分对应值如表、的二次函数1.82y x c bx ax y ++=3
0.2有一个根是方程=++c bx ax D 2
-,4.==y x C 时当1
.=x B 对称轴是直线的增大而增大
随时，当x y x A 0.<180°
图2 表1
9．两年前生产1吨甲种药品的成本是5000元．随着生产技术的进步，成本逐年下降，第二年的年下降率是第1年的年下降率的2倍，现在生产1吨甲种药品成本是2400元．为求第一年的年下降率，假设第一年的年下降率为x ，则可列方程 A ．24002-15000=-）（x x
B ．2400)1(50002
=-x
C ．24002-5000=-x x
D ．2400)21(15000=--x x ）（
10.如图，⊙P 与x 轴交于点A （-5，0），B （1，0），与y 轴的正半轴交于点C ，
若∠ACB=60°，则点C 的纵坐标为
A.313+
B.322+
C.24
D.222+
二、填空题：(本大题共6小题，每小题4分，共24分．把答案填在答题卡的相应位置)
11.如果方程0622
=-+kx x 的一个根是3-，则=k ____.
x -2 -1 0 1 2 y
－2.5
1.5
2
1.5
图1
12.如图1，在平面直角坐标系中，点A 、B 的坐标分别是A (3,0)、B (0,4)，把线段AB 绕点A 旋转后得到线段AB′，使点B 的对应点B′落在x 轴上，则点B′的坐标是 .
13.我国南宋数学家杨辉在1275年提出一个这样的问题：“直田积（矩形面积）八百六十四步（平方步），只云阔（宽）不及长一十二步（宽比长少一十二步），问阔及长各几步”。
设阔为x 步，根据题意，可列方程 .
14. 在平面直角坐标系xOy 中，已知A （3，0），B （2，－2），将线段OA 绕点O 逆时针旋转，设旋转角为α（0°＜α＜135°）.记点A 的对应点为A 1，若点A 1与点B 的距离为17，则 α= .
图1 图2
15.如图2，是抛物线)0(21≠++=a c bx ax y 的图象的一部分,抛物线的顶点坐标是),1(n A ，与x 轴的一个交
点)0,4(B ，直线)0(2≠+=m d mx y 与抛物线交于A ，B 两点，下列结论： ①03=+b a ,②方程n c bx ax =+++12有两个相等的实数根, ③)(42n c a b -=,
④当41<<x 时,有12y y >,⑤b a bx ax +≤+2,其中正确的结论是 (只填写序号).
16.如图3，AB 为半圆O 的直径，直线CE 与半圆O 相切于点C ，点D 是︵AC 的中点，CB ＝6，四边形ABCD 的面积为33AC ，则圆心O 到直线CE 的距离是 .
三、解答题：(本大题共9小题，共86分．解答应写出文字说明，证明过程或演算步骤) 17.解方程（8分）
0612=+x x ）（ 034)2(2
=--x x n
C
O B 18. （8分）已知二次函数k x y +=2
的图象经过点(-2，3)
（1）求二次函数的解析式；（2）画出此二次函数的图象.
19.（7分）每个小方格都是边长为1个单位长度的正方形， 在建立平面直角坐标系后，ABC ∆的顶点均在格点上， ①写出C B A 、、的坐标．
②以原点O 为对称中心，画出ABC ∆关于原点O 对称 的111C B A ∆.
20.（8分）如图，点C B A 、、都在圆O 上，OB OC ⊥，点A 在劣弧⌒
BC 上，且AB OA =， 求ABC ∠的度数.
21. （9分） 我市高新区某企业接到一批产品的生产任务，按要求必须在14天内完成．已知每件产品
的售价为60元．工人甲第x 天生产的产品数量为y 件，y 与x 满足如下关系：
（1）工人甲第几天生产的产品数量为60件？
8(04)510(414)x x y x x ⎧=⎨
+≤⎩≤≤＜ （2）设第x 天生产的产品成本为P 元/件，P 与x 的函数关系图象如图, 工人甲第x 天创造的利润为W 元， 求W 与x 的函数关系式，第几天时， 利润最大，最大利润是多少？
22. （10分）如图，四边形ABCD 内接于⊙O ，︒=∠90BAD ，
BC AD 、的延长线交于点F ，点E 在CF 上，
且BAC DEC ∠=∠．
（1）求证：DE 是⊙O 的切线；
.14,10,)2(CD EF CE AC AB ，求若===
23.（10分）阅读下列材料：
我们可以通过下列步骤估计方程0222=--x x 的根所在的范围.
第一步：画出函数0222
=--x x 的图象，发现函数图象是一条连续不断的曲线，且与x 轴的一个交
点的横坐标在0，-1之间.
第二步：因为当0=x 时，02<-=y ；当1-=x 时，01>=y ，
所以可确定方程0222
=--x x 的一个根1x 所在的范围是01-1<<x
第三步：通过取0和-1的平均数缩小1x 所在的范围：
取 21201-=+-=
x ，因为当2
1
-=x 时，0<y ， 又因为当1-=x 时，0>y ， 所以2
1
1-1-
<<x （1）请仿照第二步，通过运算验证方程0222=--x x 的另一个根2x 所在的范围是322<<x （2）在322<<x 的基础上，重复应用第三步中取平均数的方法，将x 2所在的范围缩小至
b x a <<2，使得4
1≤
-a b . 24.（12分）如图，矩形ABCD 中，6,8==BC AB ，将此矩形绕点B 顺时针方向旋转)1800(0<<θθ
得到矩形111D BC A ，直线 111D C BA 、分别与直线CD 相交于点 F E 、. （1）若此矩形绕点B 顺时针方向旋转90°，求1DD 的长. （2）在旋转过程中，点11D A D 、、三点共线时，求△BCE 的面积.
（3）在矩形ABCD 旋转的过程中，是否存在某个位置使得以1D F E B 、、、为顶点的四边形为平行四边形？若存在，求出CF 的长；若不存在，请说明理由.
（备用图） （备用图）
25. （14分）在平面直角坐标系中，点)0,1(A ,已知抛物线m mx x y 22-+=（m 是常数）， 顶点为P . （1） 当抛物线经过点A 时，① 求顶点P 的坐标；
② 设直线l ：13+=x y 与抛物线交于C B 、两点，抛物线上的点M 的横坐标为)31(≤≤-n n ，过点M 作x 轴的垂线，与直线l 交于点Q ，若d MQ =，当d 随n 的增大而减少时，求n 的取值范围.
C
B
D
A
C
B
D
A
（2）无论m取何值，该抛物线都经过定点H，当︒
AHP时，求抛物线的解析式.
=
∠45。