2018年金山区二模答案
- 格式:doc
- 大小:1.36 MB
- 文档页数:12
2018年上海市金山区中考英语二模试卷二、Choose the best answer (选择最恰当的答案)(共20分)1. Which of the following underlined parts is different in pronunciation from others?()A c o ttonB w o nderC st o machD o nion2. Kobe Bryant made____________ exciting short film called "Dear Basketball".()A aB anC theD /3. To my surprise, the answer turned ____________ to be quite right at last.()A intoB downC outD in4. The 24th Winter Olympics will be held in Beijing ____________ February, 2022.()A inB onC atD by5. The students in Mr White's class like to play tennis with ____________after school.()A heB hisC himselfD him6. Hawking wrote____________ popular science books including A Brief History ofTime.()A a littleB littleC a fewD few7. The young mother tried to talk with her naughty son as ______ as possible.A gentleB gentlyC more gentlyD most gently8. We're proud that our country now has ____________ high﹣speed rail network in the world.()A longB longerC longestD the longest9. You'll certainly arrive at your destination(目的地) ____________ you stop walking.()A unlessB ifC becauseD although10. Don't forget to turn on the radio, ____________ you'll miss your favourite programme.()A soB butC orD and11. He____________ a walk with his wife in the garden from seven to eight last night.()A was takingB is takingC tookD would take12. The film Amazing China shows us great changes ___________ in China in the past five years.()A take placeB had taken placeC have taken placeD took place13. The famous lawyer ____________ by a news reporter from China Daily just now.()A has interviewedB was interviewedC is interviewingD is interviewed14. Our class teacher often advises us____________ full use of time during this important period.()A makeB makesC makingD to make15. I still remember ____________ as a prince in a short play competition. How fantastic it was!()A to actB actingC actD acted16. We are eager to know ____________ Tom will be well again and come back to school.()A how longB how farC how soonD how often17. ﹣ ____________ we finish the project about the changes of our hometown in a month?﹣No, you don't have to. You can finish it in one and a half months.()A MustB CanC ShouldD Would18. No people in our neighbourhood set off fireworks last year, ____________?()A don't theyB do theyC didn't theyD did they19. ﹣Shall we go to Shanghai Disneyland Park during the summer holidays?﹣ ____________()A That sounds interesting.B Give it another try.C Thank you verymuch. D Sure, you're welcome.20. ﹣You look so upset. What's wrong with you?﹣ ____________()A I'm sorry to hear that.B I'm not quite sure.C I've lost the key to my bike.D I've got the first prize.三、 Complete the following passage with the words in the box. Each can be used only once (将下列单词填入空格.每空格限填一词,每词只能填一次)(共8分)21. A. spreads B. drums C. electric D. destroyed E. immediatelyPeople in Mayilattumpara, a village in southwest India, could not sleep at night. That's because wild elephants entered their village to look for food and they(1)_______ crops and farmland. The villagers tried to keep the wild elephants out with(2)_______ fences and deep holes. They even tried beating(3)_______. Nothing worked! The repeated destruction of crops led some villagers to stop farming.However, the situation turned around last year. People there have finally found what keeps the elephants away: honey bees. A wire fence with beehive (蜂房)(4)_______ around the village. When elephants try to pass the 2.5kilometer wire fence,angry bees fly out in a large group and the elephants run away quickly. Protected by the bees, farmers have returned to growing their crops.22. A. examination B. technology C. tell D. affect E. restMany of us use our digital devices (电子设备) to wake us up in the morning, listen to music, follow news, find bus schedules, play games and communicate with friends and family.But depending on (1)_______ comes at a price. Studies have found that overuse of electronics can (2)_______ our sleep, the quality of our social communication, and our ability to focus on study and work.To help people take a(3)_______ from their always﹣on lifestyles, the US National Day of Unplugging (拔去插头) was created in 2010. It wants to (4)_______ people to put away their electronics for 24hours. It falls on the second Friday of March each year.四、Complete the sentences with the given words in their proper forms(用括号中所给单词的适当形式完成下列句子.每空格限填一词)(共8分)23. People are the creators of history and they are the real________.(hero)24. We showed________ guests around the Oriental Pearl TV Tower last weekend.(we)25. There were ten students in the room , then________ more came in silently.(third)26. "________ is achieved through hard work," is on everyone's lips these days.(happy)27. Cao Chong was so clever that he found a good way to________the elephant.(weight)28. His wife prefers this restaurant because of its________environment.(please)29. You'd better refuse the invitation________ and give your reasons.(polite)30. Cheating in the exam is considered as a(n)________ act and it's not allowed.(honest)五、Rewrite the following sentences as required(根据所给要求完成句子)(共14分)31. The medical team had completed the task by the end of last month.(改为否定句)The medical team________ the task by the end of last month.32. The famous physicist Stephen Hawking passed away ________.(就划线部分提问)________ the famous physicist Stephen Hawking pass away?33. According to the instruction sign, we can't wash this coat in warm water.(改为被动语态)According to the instruction sign, this coat can't________ in warm water.34. They're discussing government work report very carefully.(感叹句)________ they're discussing government work report!35. President Xi said to a villager, "I am a servant of the people." (改为宾语从句)President Xi told the villager that________ a servant of the people.36. These kids had a wonderful time during the three﹣day winter camp.(保持句意基本不变)These kids________ during the three﹣day winter camp.37. won't , you, until, I, be able to, 8o'clock, join (连词成句)________.六、Reading comprehension(阅读理解)(共50分)38. Whatever life threw at us each year, our family had one tradition at Christmas: our dog Pepper opened our presents for us.Last year, everyone made it home for a Christmas get﹣together. However, it couldn'tfeel perfect because Pepper's health was becoming worse. Her life had already been longer than we expected﹣she was fourteen﹣and yet her mind was still sharp. Her love for life made us feel better. But her body could not keep up with her mind.Probably it was Pepper's last Christmas, so we decided to make sure she would enjoyit. On Christmas Eve, we each prepared presents for her.Soon, Pepper selected her first Christmas gift. She turned the present, just as she was a young dog once more. She pulled the paper off the dog treat before she chewed itslowly. Our family was so happy.Pepper saw the other three presents, and then turned to Mom as if asking, "May I open another? ""Go ahead, girl!" Mom encouraged.For the next few minutes, Pepper opened each of her Christmas presents. While she did, she reminded us of the joy of being together. Our family felt as a whole﹣not because we were in the same room or city, but because our love brought us together.Pepper passed away after Christmas. Her peaceful passing made us tearful. Her passing was also a celebration of life, because she gave my family so much love and laughter.I still treasure (珍惜) Pepper's final Christmas gift. She taught me that no matter where we each spend the holidays, the smallest act of sincere giving can unite our family through our love. For me, that knowledge is ________ of all.(1)The dog Pepper usually________ at Christmas.A chewed the dog treat slowly.B chose the presents for herself.C played withthe author's family happily. D opened the presents for the author's family.(2)The author thought the Christmas wasn't perfect last year because________.A he didn't get a Christmas gift.B Pepper was in poor health.C Pepper died on Christmas Eve.D he didn't feel the joy of being together.(3)The dog Pepper got________ Christmas gifts last year.A two.B three.C four.D five.(4)The underlined phrase "the longest﹣lasting gift" in the last paragraph refers to"________".A the friendship with the dog.B the holiday the author spent with family.C the Christmas present for the dog.D the life lesson the author learned from Pepper.(5)Which of the following statements is NOT true according to the passage?________A Pepper passed away peacefully after Christmas.B The smallest act of sincere giving can unite the author's family.C Pepper brought the author's family a lot of trouble and tears.D The author's family felt as a whole because of the love among them.(6)The best title for the passage can be "________".A The Power of Love.B Celebrating Christmas.C The Importance of Helping Others.D Enjoying the Happiness of Making Friends.39. Mrs. Dermit, my drama (戏剧) teacher, wanted to look for someone to play a leading role﹣﹣an energetic boy in a play.(1)_______ , she thought that I could act this important part. After hearing the good news, my friend Kevin and I talked about the play happily.(2)_______ Kevin wasn't chosen for a role on the stage, his job with helping allthe actors was important to the success of the play. I told him I was a little (3)_______ because I had a lot of lines (台词) to memorize. "You can do it." he said. I knew I could depend on him: we had been friends since the third grade, and we made a good team.Preparations for the play moved at a quick pace. While doing his own work, Kevin also spent hours helping me learn my lines. He often said my lines with me by silently moving his lips. We even(4)_______ that he could probably play my part as well as I could.Everything was ready for the performance. However, on the day of the play, I woke up with a high fever and I couldn't perform. The play was planned to open in fewer than six hours, and we had no time to cancel it. I tried to think of a way to help. Then it hit me﹣﹣Kevin knew the lines as well as I did. I called Mrs. Dermit to give her my (5)_______. Within a few short hours, Kevin stood on the stage in costume (戏服) and makeup. The amusing lines he had practised with me so many times made the crowd laugh and cheer. In a strange turn of events, Kevin and I had (6)_______ the day for everyone by working as a team.Of course, I was terribly disappointed to have missed my chance in the spotlight, but I was extremely thankful to have such a good friend.(1)A RecentlyB ) PersonallyC ) LuckilyD ) Probably(2)A WhileB ) AlthoughC ) BecauseD ) After(3)A nervousB ) boredC ) satisfiedD ) lonely(4)A provedB ) promisedC ) expectedD ) joked(5)A questionB ) informationC ) suggestionD ) explanation(6)A keptB ) savedC ) providedD ) spent40.根据短文内容及首字母提示,在句子空白处填入一个恰当的词,使短文内容完整、通顺。
图12018-2019学年第二学期初三期中质量检测(满分150分,考试时间100分钟)物 理 部 分考生注意:1、本试卷物理部分含五个大题.2、答题时,考生务必按答题要求在答题纸规定的位置上作答,在草稿纸、本试卷上答题一律无效.一、选择题(共16分)下列各题均只有一个正确选项,请将正确选项的代号用2B 铅笔填涂在答题纸的相应位置上,更改答案时,用橡皮擦去,重新填涂.1、下列粒子中,带负电的是A 、质子.B 、电子.C 、中子.D 、原子. 2、摄氏温标规定,在标准大气压下,沸水的温度为 A 、50 ℃. B 、100℃ . C 、150℃.D 、200℃. 3、能分辨出钟声和鼓声的主要依据是A 、响度.B 、音调.C 、音色.D 、速度. 4、光射到平面镜上,入射角为30°,反射角为A 、0°.B 、30°.C 、60°.D 、70°.5、将重为G 的物体匀速向上提起,在提起过程中物体受到的合力大小 A 、等于G .B 、大于G .C 、等于0.D 、大于0.6、在图1所示的电路中,电源电压保持不变.闭合电键S,当滑动变阻器的滑片P 向右移动时,不变的是A 、电流表A 示数与电流表A 1示数的差值.B 、电压表V 示数与电流表A 示数的比值.C 、电压表V 示数与电流表A 1示数的比值.D 、电压表V 示数与电流表A 1示数的乘积学校 班级 准考证号 姓名…………………密○……………………………………封○……………………………………○线……………………………7、如图2所示,实心均匀正方体甲、乙对水平地面的压强相同.现沿水平方向分别切去一部分,并将切去部分放置在对方剩余部分的上表面后,若此时它们对地面的压强仍相同,则关于切去的质量△m 和高度△h ,下列说法正确的是A 、△m 甲>△m 乙.B 、△m 甲=△m 乙.C 、△h 甲>△h 乙.D 、△h 甲=△h 乙.8、甲车从P 点、乙车从Q 点沿直线同向而行,P 、Q 是同一直线上相距10米距离的两个点.若乙车在甲车运动3秒后才开始运动,当甲车运动8秒时两车恰好相遇,甲车运动的s-t 图像如图3所示,则乙车的速度A 、一定是1.2米/秒.B 、可能是3.2米/秒.C 、可能是0.8米/秒.D 、可能是5.2米/秒.二、填空题(共23分)请将结果填入答题纸的相应位置.9、上海地区家用照明电路的电压为 (1) 伏.家庭电路中,各用电器之间是 (2) 的(选填“串联”或“并联”),额定功率为1千瓦的用电器正常工作2小时,耗电 (3)度.10、2018年冬奥会于韩国平昌举行,冰壶运动是其中一个项目.如图4所示,一名运动员用力将冰壶推出,说明了力可以改变物体的 (4) ,冰壶由于 (5) 继续向前运动.冰壶前进过程中,以冰面为参照物,冰壶是 (6) 的(选填“运动”或“静止”).11、“复兴号”高铁以350千米/时的速度在轨道上匀速飞驰35千米,所需时间为 (7) 小时.此过程中,列车的动能 (8) (选填“增大”、“不变”或“减小”).列车行驶时车轮表面的温度会升高,这是通过 (9)图2图4图3的方式改变其内能的.12、某导体两端的电压为3伏,10秒内通过该横截面的电荷量为3库,通过该导体的电流为 (10) 安,这段时间内电流做功为 (11) 焦.当该导体两端的电压改变为12伏时,它的电阻为 (12) 欧.13、根据右表所列几种物质的比热容数据,可知:5千克的水温度升高20℃,需吸收的热量为 (13) 焦;质量相等的水与干泥土,吸收相等的热量, (14) 升高的温度多,这就是沿海地区昼夜温差 (15) 内陆地区昼夜温差的原因(选填“大于”、“等于”或“小于”).14、在图5所示的电路中,电源电压保持不变.闭合电键S 后,小灯不亮,已知电路中仅有一处故障,且只发生在电阻R 、灯L上.① 若闭合电键前后,发现两电表指针均有偏转,则故障可能是: (16).②若闭合电键前后,发现其中一个电表示数发生了变化.请根据相关信息,写出示数变化的电表及相应的故障:(17).15、请阅读,然后回答问题:“有用功指对人们有利用价值的功,如简单机械提升重物所做的功就是人们需要的.额外功指对人们既无利用价值而又不得不做的功,如使用简单机械时克服机械间的摩擦和机械自重所做的功就是人们不需要的,没有利用价值而又不得不做的功.”下图是小金同学用三种不同方法把砂子运上三楼,如图6所示.下表中的数据是人、沙子、桶、滑轮、装沙子的口袋的重力.N根据上图中的信息和表格中数据,请判断:(1)小金同学用三种方法把砂子运上三楼,其中哪种方法所做的额外功最多,是图中的 (18) .(选填“方法一”、“方法二”或“方法三”).(2)计算出小金同学用三种方法把砂子运上三楼,其中所做的有用功为 (19) 焦.三、作图题(共7分)请将图直接画在答题纸的相应位置,作图题必须使用2B 铅笔.16、在图7中,重为10牛的物体保持静止状态,用力的图示法画出细线对物体的拉力F .17、根据平面镜成像的特点,在图8中画出物体AB 在平面镜MN 中成的像A ′B ′.18、根据图9中小磁针的N 极,标出通电螺线管的N 极和磁感线方向,并在括号内标出电源的正、负极.图7 图8 图9MAB四、计算题(共26分)请将计算过程和答案写入答题纸的相应位置.19、物体排开水的体积为2×10-3米3,求它所受的浮力F 浮.20、杠杆平衡时,若动力臂L 1为2米,阻力臂L 2为0.2米,当阻力F 2为300牛时,求动力 F 1的大小.21、在图10(a )所示的电路中,电源电压12伏保持不变,变阻器R 2上标有“20 2A ”字样.闭合电键S 后,电流表的示数为0.5安.(1) 求电阻R 1的阻值.(2) 10秒内电流通过电阻R 1所做的功W 1. (3) 若用定值电阻R 0替换R 1,并将R 0和R 2按图10(b )所示接入相同电源的电路,移动滑片P ,在电路安全的情况下,使图(a )中电路的最大电功率是图(b )中电路最小电功率的5倍,求R 0的阻值.22、如图11所示,厚壁柱形容器甲和正方体乙置于水平地面上.若厚壁柱形容器甲的内外底面积分别为S 1、S 2,外底面积S 2为1.2×10-2米2,甲容器盛有一定量的水.正方体乙的体积为0.5×10-3米3,密度为1.2×103千克/米3.(1) 求正方体乙的质量m .(2)求容器内0.1米深处水的压强p 水. (3)将正方体乙浸没在水中(无水溢出),水对容器底部的压强p 水、容器对地面的压强p 地等数据如下表所示.求容器甲的重力G .(a ) 图10 (b)五、实验题(共18分)请根据要求在答题纸的相应位置作答. 23、如图12所示的测量工具是 (1) 表,使用时应 (2) 在电路中(选填“串联”或“并联”);在“探究平面镜成像的特点”实验中,用 (3) 作为平面镜,并将其 (4)放置在水平桌面上.24、在“探究凸透镜成像规律”的实验中,首先调节烛焰、凸透镜、光屏的中心大致在 (5),以保证凸透镜所成的实像呈现在光屏的 (6) .然后将蜡烛放置在光具座的A 点位置不变,分别选择焦距为5厘米、10厘米、20厘米的凸透镜,在如图13所示BC 间移动光屏时得到清晰的像,的,25、某小组同学探究物体从空气中浸没到液体中时,弹簧测力计示数以及其变化和哪些因素有关.实验中,他们使用体积不同的铝、铁、铜三种密度不同的金属块,分别在空气中用弹簧测力计称出它们所受到的重力,然后把它们分别浸没在装有酒精、水和盐水三种不同液体中,记下此时测力计的示数,并将每次实验中的相关数据记录在下表中. 甲 乙2图11图12 图13(1)分析比较实验序号1和4(或2和5或3和6)的数据中物体浸没在液体中的弹簧测力计示数和液体密度的关系及相关条件,可得到初步结论:(9).(2)分析比较实验序号(10)的数据及相关条件,可得出的初步结论是:当液体密度和物体体积相同时,物体(11)越大,浸没在液体中时,弹簧测力计的示数就越大.(3)进一步综合分析比较表中物体在空气中称重时弹簧测力计的示数与物体浸没在液体中弹簧测力计示数的差值的关系及相关条件可以归纳得到结论:物体在空气中称重时的示数与物体浸没在液体中时弹簧测力计示数的差值和物体的密度无关,只和物体的体积与液体的密度有关,且(12)越大,示数差值就越大.(4)请将表格最后一行填写完整. (13)(14).26、在做“用电流表、电压表测电阻”的实验中,甲、乙两同学所用器材完全相同且齐全,测定同一规格的电阻.他们均正确串联电路,闭合电键前都将滑动变阻器的滑片置于一端,并将电压表并联在电路中.闭合电键,观察到甲、乙两同学的电压表示数之差为2伏,然后乙同学将滑片移至变阻器另一端时,同学的实验数据.(1)请画出乙同学的实验电路图(15).(2)根据相关信息,(3)根据相关信息,计算出待测电阻的阻值.(17)(写出解题过程)教学质量检测试卷物理部分答案及评分标准初三物理试卷第11 页共11 页。
上海市金山区2018届高三下学期质量监控(二模)数学试卷一、填空题 1.函数y=3sin(2x +3π)的最小正周期T = . 2.函数y =lg x 的反函数是 .3.已知集合P ={x | (x+1)(x –3)<0},Q ={x | |x | > 2},则P ∩Q = . 4.函数xx y 9+=,x ,+∞)的最小值是 .5.计算:1111lim[()]2482n n →∞+++⋯+= . 6.记球O 1和O 2的半径、体积分别为r 1、V 1和r 2、V 2,若12827V V =,则12r r = . 7.若某线性方程组对应的增广矩阵是421m m m ⎛⎫⎪⎝⎭,且此方程组有唯一一组解,则实数m的取值范围是 .8.若一个布袋中有大小、质地相同的三个黑球和两个白球,从中任取两个球,则取出的两 球中恰是一个白球和一个黑球的概率是 .9.(1+2x )n 的二项展开式中,含x 3项的系数等于含x 项的系数的8倍,则正整数n = . 10.平面上三条直线x –2y +1=0,x –1=0,x+ky =0,如果这三条直线将平面划分为六个部分, 则实数k 的取值组成的集合A = .11.已知双曲线C :22198x y -=,左、右焦点分别为F 1、F 2,过点F 2作一直线与双曲线C 的右半支交于P 、Q 两点,使得∠F 1PQ=90°,则△F 1PQ 的内切圆的半径r =________. 12.若sin 2018α–(2–cosβ)1009≥(3–cosβ–cos 2α)(1–cosβ+cos 2α),则sin(α+2β)=__________. 二、选择题13.若向量=(2, 0),=(1, 1),则下列结论中正确的是( )(A) ⋅=1 (B) ||=|| (C) (-)⊥ (D) ∥14.椭圆的参数方程为⎩⎨⎧θ=θ=sin 3cos 5y x (θ为参数),则它的两个焦点坐标是()15.如图几何体是由五个相同正方体叠成的,其三视图中的左视图序号是( )(A) (1) (B) (2) (C) (3) (D) (4) 16.若对任意1(,1)2x ∈-,都有221xx x -+=a 0+a 1x+a 2x 2+…+a n x n +…,则32a a +的值等于 ( )(A) 3 (B) 2 (C) 1 (D)1- 三、解答题17.在四棱锥P –ABCD 中,底面ABCD 是边长为6的正方形,PD 平面ABCD ,PD =8.(1) 求PB 与平面ABCD 所成角的大小; (2) 求异面直线PB 与DC 所成角的大小.18.复数2)i 2321(-=z 是一元二次方程mx 2+nx+1=0(m 、n R )的一个根. (1) 求m 和n 的值; (2) 若(i)m n u u z ++=(u C ),求u .19.已知椭圆Γ:22143x y +=的右焦点为F ,过点F 且斜率为k 的直线与椭圆Γ交于A (x 1,y 1)、B (x 2, y 2)两点(点A 在x 轴上方),点A 关于坐标原点的对称点为P ,直线P A 、PB 分别交直线l :x =4于M 、N 两点,记M 、N 两点的纵坐标分别为y M 、y N .(1) 求直线PB 的斜率(用k 表示);(2) 求点M 、N 的纵坐标y M 、y N (用x 1, y 1表示) ,并判断y M y N 是否为定值?若是,请求出该定值;若不是,请说明理由.20.已知数列{a n }满足:a 1=2,a n +1=12a n +2. (1) 证明:数列{a n –4}是等比数列; (2) 求使不等式123n n a m a m +-<-成立的所有正整数m 、n 的值;(3) 如果常数0 < t < 3,对于任意的正整数k ,都有12k k a ta t+-<-成立,求t 的取值范围.21.若函数y=f (x )对定义域内的每一个值x 1,在其定义域内都存在唯一的x 2,使f (x 1)f (x 2)=1成立,则称该函数为“依赖函数”.(1) 判断函数g (x )=2x 是否为“依赖函数”,并说明理由;(2) 若函数f (x )=(x –1)2在定义域[m ,n ](m >1)上为“依赖函数”,求实数m 、n 乘积mn 的取值范围;(3) 已知函数f (x )=(x –a )2 (a <34)在定义域[34,4]上为“依赖函数”.若存在实数x 34,4],使得对任意的t R ,有不等式f (x )≥–t 2+(s –t )x +4都成立,求实数s 的最大值.【参考答案】一、填空题1.π;2.y=10x ;3.{x |2<x <3 }[ 或(2, 3) ];4.6;5.1;6.23;7.m ;8.0.6;9.5;10.{–1,0,–2};11.2;12..二、选择题13.C ;14.A ;15.A ;16.B17.解:(1)连BD ,因为PD 平面ABCD ,则PBD 就是PB 与平面ABCD 所成的角, 在△PBD 中,PBD =322, PBD =arctan 322, PB 与平面ABCD 所成的角的大小为arctan322; (2)因为AB ∥DC ,所以PBA 就是异面直线PB 与DC 所成的角, 因为PD 平面ABCD ,所以AB ⊥PD ,又AB ⊥AD ,所以AB ⊥P A , 在Rt △P AB 中,P A=10,AB=6,PBA =35,PBA=arctan 35, 异面直线PB 与DC 所成角的大小为arctan35. 18.解:(1)因为z=2)i 2321(-=i 2321--,所以1i 22z =-+, 由题意知:z 、z 是一元二次方程mx 2+nx+1=0(m 、n R )的两个根,由11((22111(22n m m⎧-=-+-⎪⎪⎨⎪=--+⎪⎩, 解之得:11m n =⎧⎨=⎩,(2)设u=c+d i(c,d R ),则(1+i)(c –d i)+(c+d i)=i 2321--,2c +d +c i=i 2321--. ⎪⎪⎩⎪⎪⎨⎧-=-=+23212c d c ,⎪⎪⎩⎪⎪⎨⎧+-=-=32123d c , 所以u =i )213(23-+-. 19.解:(1)设直线AB 方程为(1)y k x =-,联立22(1)143y k x x y =-+=⎧⎪⎨⎪⎩,消去y ,得2222(43)84120k x k x k +-+-=,因为11(,)A x y 、22(,)B x y ,且2122212284341243k x x k k x x k ⎧+=⎪⎪+⎨-⎪=⎪+⎩, 又11(,)P x y --,所以k PB =12121212(1)(1)34y y k x k x x x x x k +-+-==-++, (2)又直线PA 的方程为11y y x x =,则114M yy x =, 由题意可知,111y k x =-,直线PB 的方程为y+y 1=113(1)4x y --(x+x 1), 则11113(1)(4)4N x x y y y -+=--,2211143x y +=,y M y N =2111113(1)(4)4x x y x x -+--=22111134912x y x x ++--=–9, 综上,乘积y M y N 为定值–9.20.解:(1) 由a n +1=21a n +2,所以a n +1–4 =21( a n –4 ), 且a 1–4=–2,故数列{a n –4}是以–2为首项,21为公比的等比数列;(2) 由(1)题,得a n –4=–21)21(-n ,得2142n n a -⎛⎫=- ⎪⎝⎭,于是2114223142n n m m --⎛⎫-- ⎪⎝⎭<⎛⎫-- ⎪⎝⎭,当m ≥4时,211421142n n mm --⎛⎫-- ⎪⎝⎭>⎛⎫-- ⎪⎝⎭,无解, 因此,满足题意的解为11m n =⎧⎨=⎩或21m n =⎧⎨=⎩或32m n =⎧⎨=⎩;(3) 解:① 当k =1时,由322tt-<-,解得0<t <1或2<t <3,② 当k ≥2时,21423n n a -⎛⎫=- ⎪⎭≥⎝,故分母0n a t ->恒成立,从而,只需a k +1–t <2(a k –t )对k ≥2,k ∈N *恒成立,即t <2a k –a k +1对k ≥2,k ∈N *恒成立,故t <(2a k –a k +1)min ,又1112432k k k a a -+⎛⎫-=- ⎪⎝⎭,故当2k =时,1min 5(2)2k k a a +-=,所以52t <, 综上所述,t 的取值范围是(0,1)∪(2,25). 21.解:(1) 对于函数g (x )=2x 的定义域R 内任意的x 1,取x 2= –x 1,则g (x 1)g (x 2)=1, 且由g (x )=2x 在R 上单调递增,可知x 2的取值唯一, 故g (x )=2x 是“依赖函数”;(2) 因为m >1,f (x )=(x –1)2在[m ,n ]递增,故f (m )f (n )=1,即(m –1)2(n –1)2=1, 由n >m >1,得(m –1) (n –1) =1,故1mn m =-, 由n >m >1,得1<m <2,从而211211m mn m m m ==-++--在(1,2)m ∈上单调递减,故(4,)mn ∈+∞, (3) 因43a <,故2()()f x x a =-在4[,4]3上单调递增, 从而4()(4)13f f ⋅=,即224()(4)13a a --=,进而4()(4)13a a --=,解得1a =或133a =(舍),从而,存在4[,4]3x ∈,使得对任意的t ∈R ,有不等式22)41)((t t x s x ≥-+-+-都成立,即22(302)t xt x s x ++-+≥-恒成立,由22(4[]02)3x s x x -+-∆=-≤,得24(2)312x x s ≤-+,由4[,4]3x ∈,可得4(2)123xs x ≤-+, 又123y x x =-在4[,4]3x ∈单调递增,故当4x =时,max1239x x ⎛⎫-= ⎪⎝⎭, 从而4()92s +≤,解得14s ≤,故实数s 的最大值为14.。
金山区2017学年第二学期质量调研高二地理试卷一、选择题(40分)1.500米口径球面射电望远镜(简称 FAST ),被誉为“中国天眼”(图1・1), 位于贵州省黔南布依族苗族口治州喀斯 特地形区,这个世界最大射电望远镜会选 在该地形区的原因是因为这里 .............. ( )① 地形崎岖②不易积水③洼地地形④晴 天多⑤少数民族众多A.①④B.②③C.③⑤D.②④A.花岗岩B ・玄武岩 C.沉积岩 D ・变质岩3•根据图所示,两条河流下游各有一个小岛,最终小岛可能连接的堤岸是 .......... (........................................................................... )2 •从岩石成因分类看, 东岳泰山是由哪种岩石构成的2018年4月图1-1图1-3A.①④B.②③C.①③D.②④4•一定时间内的河流径流总呈平铺在流域地面的水层深度叫径流深度。
图1・4是“我国某地气温、降雨暈和所在流域径流深度统计图〃。
读图判断该流域河流夏季补给来源主要是雨水和.......()A.湖泊水C・冰川融B.地下水D ・沼泽降砒代采>40 505•北京时间2017年10月18日上午9:00,屮国共产党笫十九次全国代表大会在人民大会堂开幕。
此时在纽约(西五区)的华人华侨观看十九大开幕式现场直播,是当地时间是……()A.10 月19 S 22:00B.10 月18 B 22:00C.10 月17 日20:00D.10 月17 H 6:006•读中国人口数量增长分组趋势图(图1・6),分析1950年至2015年,我国人口的变化趋势是()A. 0-4岁人口逐渐增加B. 5-19岁人口的比重逐渐上升C. 20-49岁人口逐渐增加D. 总人口在2015年达到顶峰图1-67•下列农业类型的排列顺序中,反映我国降水量从东南向西北变化规律的是……()A. ------------------------------ 水出为主的农业--- 旱地为主的农业灌溉农业B・草原牧业 - 灌溉农业-----高山牧业C.水田为主的农业---- 灌溉农业---- 旱地为主的农业D・草原牧业.……高山牧业……■农耕区牧业8•读图「8,结合有关大潮、小潮出现日期的月相的叙述,正确的一组是 ........................()①图中大潮出现当天的月相是新月②图屮大潮出现当天的月相是满月③图中小潮出现当天的月相是上弦月④图中小潮出现当天的月相是下弦月A.①②B.②③C.①③D.②④9•美国小麦年产量一直比加拿大高,其原因木庖密...........................A.耕地面积广大B•人口数量多 C.气候温暖湿润D•黑土土壤肥沃10•剪纸(图1-10)所反映的地域文化是……(A. 四川盆地文化B. 华北平原文化C ・呑贵高原文化D ・江南水乡文化□•下列木属扌太空资源的是 ............................................12•目前,我国已经建成“数字屮国〃的地理空间框架,"天上看,地上查,网上管〃的国土资源管理运行体系初步形成,大大提升了国土监管能力。
图1-1 金山区2017学年第二学期质量调研高二地理 试卷2018年4月一、选择题(40分)1.500米口径球面射电望远镜(简称FAST ),被誉为“中国天眼"(图1—1),位于贵州省黔南布依族苗族自治州喀斯特地形区,这个世界最大射电望远镜会选在该地形区的原因是因为这里………( ) ①地形崎岖②不易积水③洼地地形④晴天多⑤少数民族众多A 。
①④ B.②③ C 。
③⑤D 。
②④2.从岩石成因分类看,东岳泰山是由哪种岩石构成的……………………………………( )A.花岗岩B.玄武岩 C 。
沉积岩 D 。
变质岩3.根据图1-3所示,两条河流下游各有一个小岛,最终小岛可能连接的堤岸是………( )A 。
①④B 。
②③ C.①③ D.②④4.一定时间内的河流径流总量平铺在流域地面的水层深度叫径流深度。
图1-4是“我国某地气温、降雨量和所在流域径流深度统计图”.读图判断该流域河流夏季补给来源主要是雨水和………( )A.湖泊水B.地下水 C 。
冰川融水 D 。
沼泽水5.北京时间2017年10月18日上午9:00,中国共产党第十九次全国代表大会在人民大会堂开幕。
此时在纽约(西五区)的华人华侨观看十九大开幕式现场直播,是当地时间是……( )A.10月19日22:00B.10月18日22:00C.10月17日20:00 D 。
10月17日6:00 6。
读中国人口数量增长分组趋势图(图1—6),分析1950年至2015年,我国人口的变化趋势是( )A 。
0-4岁人口逐渐增加 B.5-19岁人口的比重逐渐上升 C 。
20-49岁人口逐渐增加图1-4图1-3D 。
总人口在2015年达到顶峰7.下列农业类型的排列顺序中,反映我国降水量从东南向西北变化规律的是……( )A 。
水田为主的农业——---——旱地为主的农业-—----—灌溉农业 B.草原牧业---—-——灌溉农业—----—-高山牧业C.水田为主的农业-————--灌溉农业-—-----旱地为主的农业 D 。
2018年金山区二模答案D九年级数学第2页共4页九年级数学第3页共4页九年级数学第4页共4页九年级数学第5页共4页九年级数学 第6页 共4页22.解:(1)设2y 关于x 的函数关系式是222yk x b =+,根据题意,得:2222200404k b k b +=⎧⎨+=⎩,………………………………………………(2分)解得:215k =,24b =-,………………………………………………………(2分)∴2y 关于x 的函数关系式是2145y x =-.……………………………………(1分)(2)设1y 关于x 的函数关系式是11yk x=,根据题意,得:1404k=,∴1110k=,1y 关于x 的函数关系式是1110y x =,…………………………………………(1分)当16y =时,60x =,当26y =时,50x =,………………………………(2分)∴骑自行车的学生先到百花公园,先到了10分钟.…………………………(2分)九年级数学 第7页 共4页23.证明:(1)∵AE //BC ,∴∠AEM =∠DCM ,∠EAM =∠CDM ,…………………………(1分)又∵AM=DM ,∴△AME ≌△DMC ,∴AE =CD ,………………………………(1分)∵BD=CD,∴AE =BD .……………………………………………………………(1分)∵AE ∥BD ,∴四边形AEBD 是平行四边形.……………………………………(2分) (2)∵AE //BC ,∴AF AEFB BC=.………………………………………………………(1分)∵AE=BD=CD ,∴12AF AE FB BC ==,∴AB=3AF .……………………………(1分)∵AC=3AF ,∴AB=AC ,…………………………………………………………(1分)又∵AD 是△ABC 的中线,∴AD ⊥BC ,即∠ADB =90°.……………………(1分)∴四边形AEBD 是矩九年级数学 第8页 共4页形.…………………………………………………………(1分)24.解:(1)∵二次函数2y x bx c=++的图像经过点A(1,0)和B (3,0),∴10930b c b c ++=⎧⎨++=⎩,解得:4b =-,3c =.………………………………………(2分)∴这条抛物线的表达式是243y x x =-+…………………………………………(1分)顶点P的坐标是(2,-1).…………………………………………………………(1分) (2)抛物线243y xx =-+的对称轴是直线2x =,设点E 的坐标是(2,m ).……(1分)根据题意得:=解得:m=2,……(2分)∴点E的坐标为(2,2).……………………………………………………………(1分)(3)解法一:设点Q 的坐标为2(,43)t tt -+,记MN九年级数学 第9页 共4页与x 轴相交于点F .作QD ⊥MN ,垂足为D , 则2DQ t =-,2243241DE t t t t =-+-=-+…………………………………(1分)∵∠QDE=∠BFE=90°,∠QED=∠BEF,∴△QDE∽△BFE ,…………………(1分)∴DQ DE BF EF=,∴224112t t t --+=,解得11t =(不合题意,舍去),25t =.……………………………………………(1分)∴5t =,点E 的坐标为(5,8).…………………………………………………(1分)解法二:记MN 与x 轴相交于点F .联结AE ,延长AE 交抛物线于点Q ,∵AE=BE , EF ⊥AB ,∴∠AEF=∠NEB , 又∵∠AEF=∠MEQ ,∴∠QEM=∠NEB ,…………………………………………(1分)九年级数学 第10页 共4页点Q 是所求的点,设点Q 的坐标为2(,43)t t t -+,作QH ⊥x 轴,垂足为H ,则QH =243tt -+,OH =t ,AH =t -1,∵EF ⊥x 轴,∴EF ∥QH ,∴EF AFQH AH=,∴221431t t t =-+-,……………(1分)解得11t =(不合题意,舍去),25t =.……………………………………………(1分)∴5t =,点E 的坐标为(5,8).…………………………………………………(1分)25.解:(1)在⊙P 中,PA =PQ ,∴∠PAQ =∠PQA ,……………………………………(1分)∵AD ∥BC ,∴∠PAQ =∠APB ,∠PQA=∠QPC ,∴∠APB =∠EPC ,……(1分)∵梯形ABCD 中,AD ∥BC ,AB =DC ,∴∠B=∠C ,………………………………(1分)∴△APB ∽△ECP .………………………………………………(2)作AM ⊥BC ,PN ⊥AD ,∵AD ∥BC ,∴AM ∥PN ,∴四边形AMPN 是平行四边形,∴AM =PN ,AN =MP .…………………………………………………………………(1分)在Rt △AMB 中,∠AMB =90°,AB =5,sinB =35,∴AM =3,BM =4,∴PN =3,PM =AN =x -4,…………………………………………(1分)∵PN ⊥AQ ,∴AN =NQ ,∴AQ =2x -8,……………………………………………(1分) ∴()1128322y AQ PN x =⋅⋅=⋅-⋅,即312y x =-,……………………………(1分)定义域是1342x <<.……………………………………………(3)解法一:由△QED 与△QAP 相似,∠AQP =∠EQD ,①如果∠PAQ =∠DEQ ,∵△APB ∽△ECP ,∴∠PAB =∠DEQ ,又∵∠PAQ =∠APB ,∴∠PAB =∠APB ,∴BP =BA =5.…………………………(2分)②如果∠PAQ =∠EDQ ,∵∠PAQ =∠APB ,∠EDQ =∠C ,∠B =∠C ,∴∠B =∠APB ,∴ AB =AP ,∵AM ⊥BC ,∴ BM =MP =4,∴ BP =8.…………(2分)综上所述BP 的长为5或者8.………………………………………………………(1分)解法二:由△QAP 与△QED 相似,∠AQP=∠EQD ,在Rt △APN 中,AP PQ === ∵QD ∥PC ,∴EQ EP QD PC=, ∵△APB ∽△ECP ,∴AP EP PB PC=,∴AP EQ PB QD =,①如果AQ EQ QP QD =,∴AQ AP QP PB =,即x =,解得5x =………………………………………………………………………………(2分) ②如果AQ DQ QP QE =,∴AQ PB QP AP =,即=,解得8x =………………………………………………………………………………(2分)综上所述BP 的长为5或者8.………………………………………………………(1分)。
上海市金山区2018届中考数学二模试题(满分150分,考试时间100分钟)(2018.4)考生注意:1.本试卷含三个大题,共25题;2.务必按答题要求在答题纸规定的位置上作答,在草稿纸、本试卷上答题一律无效;3.除第一、二大题外,其余各题如无特别说明,都必须在答题纸的相应位置上写出证明或计算的主要步骤.一、选择题:(本大题共6题,每题4分,满分24分)【下列各题的四个选项中,有且只有一个选项是正确的,选择正确项的代号并填涂在答题纸的相应位置上.】1.下列各数中,相反数等于本身的数是(▲) (A )1-; (B )0; (C )1; (D )2. 2.单项式32a b 的次数是(▲)(A )2; (B )3 (C )4; (D )5.3.如果将抛物线22y x =-向上平移1个单位,那么所得新抛物线的表达式是(▲)(A )()221y x =-+; (B )()221y x =--; (C )221y x =--; (D )221y x =-+. 4.如果一组数据1,2,x ,5,6的众数为6,则这组数据的中位数为(▲) (A )1; (B )2 (C )5; (D )6.5.如图1,□ABCD 中,E 是B C 的中点,设AB a =,AD b =, 那么向量AE 用向量a 、b 表示为(▲)(A )12a b + ;(B )12a b - ;(C )12a b -+;(D )12a b --.6.如图2,∠AOB=45°,OC 是∠AOB 的角平分线,PM ⊥OB , 垂足为点M ,PN ∥OB ,PN 与OA 相交于点N ,那么PMPN的值等于( ▲ )(A )12; (B(C; (D二、填空题:(本大题共12题,每题4分,满分48分) 【请直接将结果填入答题纸的相应位置】D图1MNA BC图2P7.因式分解:2a a -= ▲ . 8.函数y =的定义域是 ▲ .9.方程21xx =-的解是 ▲ . 10.一次函数2y x =-+的图像不经过第 ▲ 象限.11.有一枚材质均匀的正方体骰子,它的六个面上分别有1点、2点、…、6点的标记,掷这枚骰子,向上一面出现的点数是素数的概率是 ▲ . 12.如果关于x 的一元二次方程240x x k -+=有两个不相等的实数根,那么k 的取值范围是 ▲ .13.如果梯形的中位线长为6,一条底边长为8,那么另一条底边长等于 ▲ . 14.空气质量指数,简称AQI ,如果AQI 在0~50空 气质量类别为优,在51~100空气质量类别为良, 在101~150空气质量类别为轻度污染,按照某市最 近一段时间的AQI 画出的频数分布直方图如图3 所示,已知每天的AQI 都是整数,那么空气质量 类别为优和良的天数占总天数的百分比为 ▲ %. 15.一辆汽车在坡度为1:2.4的斜坡上向上行驶130米,那么这辆汽车的高度上升了 ▲ 米.16.如果一个正多边形的中心角等于30°,那么这个正多边形的边数是 ▲ . 17.如果两圆的半径之比为3:2,当这两圆内切时圆心距为3,那么当这两圆相交时,圆心距d 的的取值范围是 ▲ .18.如图4,Rt △ABC 中,∠C =90°,AC =6,BC =8,D 是AB 的中点,P 是直线BC 上一点,把△BDP 沿PD 所在的直线翻折后,点B 落在点Q 处,如果QD ⊥BC , 那么点P 和点B 间的距离等于 ▲ .三、解答题:(本大题共7题,满分78分) 19.(本题满分10分)计算:21oo21tan 452sin 60122-⎛⎫-+- ⎪⎝⎭.6 天数图3图4320.(本题满分10分) 解方程组:248x y x xy +=⎧⎨-=⎩.21.(本题满分10分,每小题5分)如图5,在矩形ABCD 中,E 是BC 边上的点,AE =BC ,DF ⊥AE ,垂足为F .(1)求证:AF=BE ;(2)如果BE ∶EC=2∶1,求∠CDF 的余切值.22.(本题满分10分,每小题5分)九年级学生到距离学校6千米的百花公园去春游,一部分学生步行前往,20分钟后另 一部分学生骑自行车前往,设x (分钟)为步行前往的学生离开学校所走的时间,步行学生走的路程为1y的函数 图像如图6所示.(1)求2y 关于x 的函数解析式; (2)步行的学生和骑自行车的学生谁先 到达百花公园,先到了几分钟?ABCDFE图5 图623.(本题满分12分,每小题6分)如图7,已知AD 是△ABC 的中线, M 是AD 的中点, 过A 点作AE ∥BC ,CM 的延 长线与AE 相交于点E ,与AB 相交于点F . (1)求证:四边形AEBD 是平行四边形; (2)如果AC =3AF ,求证四边形AEBD 是矩形.24.(本题满分12分,每小题4分)平面直角坐标系xOy 中(如图8),已知抛物线2y x bx c =++经过点A (1,0)和B (3,0), 与y 轴相交于点C ,顶点为P .(1)求这条抛物线的表达式和顶点P 的坐标; (2)点E 在抛物线的对称轴上,且EA =EC ,求点E 的坐标;(3)在(2)的条件下,记抛物线的对称轴为直线MN ,点Q 在直线MN 右侧的抛物线 上,∠MEQ =∠NEB ,求点Q 的坐标.E AFMD图7C图8525.(本题满分14分,第(1)小题4分,第(2)小题5分,第(3)小题5 分) 如图9,已知在梯形ABCD 中,AD ∥BC ,AB =DC =AD =5,3sin 5B =,P 是线段BC 上 一点,以P 为圆心,PA 为半径的⊙P 与射线AD 的另一个交点为Q ,射线PQ 与射线CD 相交于点E ,设BP =x .(1)求证△ABP ∽△ECP ;(2)如果点Q 在线段AD 上(与点A 、D 不重合),设△APQ 的面积为y ,求y 关于x 的函数关系式,并写出定义域; (3)如果△QED 与△QAP 相似,求BP 的长.金山区2017学年第二学期初三数学期中质量检测参考答案及评分建议2018.4.19一、选择题:(本大题共6题,每题4分,满分24分) 1.B ; 2.C ; 3.D ; 4.C ; 5.A ; 6.B .二.填空题:(本大题共12题,满分48分)7.()1a a -; 8.2x ≥; 9.2x =; 10.三; 11.12; 12.4k <; 13.4; 14.80; 15.50; 16.12; 17.3d 15<<; 18.52或10.三、(本大题共7题, 第19~22题每题10分, 第23、24题每题12分, 第25题14分, 满分78分)ABD图9备用图19.解:原式=124-+…………………………………………………………(8分)14+………………………………………………………………(1分)=5.………………………………………………………………………(1分) 20.解:248x y x xy +=⎧⎨-=⎩①②, 由①得:4y x =- ③,…………………………………………………………(2分) 把③代入②得:()248x x x --=.………………………………………………(2分)解得:121,1x x ==…………………………………………………(2分)把121,1x x ==,代入③得:121211,33x x y y ⎧⎧==⎪⎪⎨⎨==⎪⎪⎩⎩,……………………………………………………(4分) 21.解:(1)∵四边形ABCD 是矩形,∴AD =BC ,AD ∥BC ,∠B =90°,∴∠DAF=∠AEB ,……………………………………………………………………(1分) ∵AE=BC ,DF ⊥AE ,∴AD=AE ,∠ AFD=∠EBA=90°,………………………(2分) ∴△ADF ≌△EAB ,∴AF =EB ,………………………………………………………(2分)(2)设BE =2k ,EC =k ,则AD =BC =AE =3k ,AF =BE =2k ,…………………………(1分)∵∠ADC =90°,∠AFD =90°,∴∠CDF +∠ADF =90°,∠DAF +∠ADF =90°, ∴∠CDF =∠DAF …………………………………………………………………(2分) 在Rt △ADF 中,∠AFD =90°,DF∴cot ∠CDF =cot ∠DAF=AF DF ==.………………………………(2分) 22.解:(1)设2y 关于x 的函数关系式是222y k x b =+,根据题意,得:2222200404k b k b +=⎧⎨+=⎩,………………………………………………(2分)解得:215k =,24b =-,………………………………………………………(2分)7∴2y 关于x 的函数关系式是2145y x =-.……………………………………(1分) (2)设1y 关于x 的函数关系式是11y k x =, 根据题意,得:1404k =,∴1110k =, 1y 关于x 的函数关系式是1110y x =,…………………………………………(1分) 当16y =时,60x =,当26y =时,50x =,………………………………(2分) ∴骑自行车的学生先到百花公园,先到了10分钟.…………………………(2分)23.证明:(1)∵AE //BC ,∴∠AEM =∠DCM ,∠EAM =∠CDM ,…………………………(1分)又∵AM=DM ,∴△AME ≌△DMC ,∴AE =CD ,………………………………(1分) ∵BD=CD ,∴AE =BD .……………………………………………………………(1分) ∵AE ∥BD ,∴四边形AEBD 是平行四边形.……………………………………(2分)(2)∵AE //BC ,∴AF AEFB BC=.………………………………………………………(1分) ∵AE=BD=CD ,∴12AF AE FB BC ==,∴AB=3AF .……………………………(1分) ∵AC=3AF ,∴AB=AC ,…………………………………………………………(1分) 又∵AD 是△ABC 的中线,∴AD ⊥BC ,即∠ADB =90°.……………………(1分) ∴四边形AEBD 是矩形.…………………………………………………………(1分)24.解:(1)∵二次函数2y x bx c =++的图像经过点A (1,0)和B (3,0), ∴10930b c b c ++=⎧⎨++=⎩,解得:4b =-,3c =.………………………………………(2分)∴这条抛物线的表达式是243y x x =-+…………………………………………(1分)顶点P 的坐标是(2,-1).…………………………………………………………(1分)(2)抛物线243y x x =-+的对称轴是直线2x =,设点E 的坐标是(2,m ).……(1分)根据题意得:=,解得:m=2,……(2分)∴点E 的坐标为(2,2).……………………………………………………………(1分) (3)解法一:设点Q 的坐标为2(,43)t t t -+,记MN 与x 轴相交于点F .作QD ⊥MN ,垂足为D ,则2DQ t =-,2243241DE t t t t =-+-=-+…………………………………(1分) ∵∠QDE=∠BFE=90°,∠QED=∠BEF ,∴△QDE ∽△BFE ,…………………(1分)∴DQ DEBF EF =,∴224112t t t --+=, 解得11t =(不合题意,舍去),25t =.……………………………………………(1分) ∴5t =,点E 的坐标为(5,8).…………………………………………………(1分) 解法二:记MN 与x 轴相交于点F .联结AE ,延长AE 交抛物线于点Q ,∵AE=BE , EF ⊥AB ,∴∠AEF=∠NEB ,又∵∠AEF=∠MEQ ,∴∠QEM=∠NEB ,…………………………………………(1分) 点Q 是所求的点,设点Q 的坐标为2(,43)t t t -+, 作QH ⊥x 轴,垂足为H ,则QH =243t t -+,OH =t ,AH =t -1, ∵EF ⊥x 轴,∴EF ∥QH ,∴EF AFQH AH=,∴221431t t t =-+-,……………(1分) 解得11t =(不合题意,舍去),25t =.……………………………………………(1分) ∴5t =,点E 的坐标为(5,8).…………………………………………………(1分)25.解:(1)在⊙P 中,PA =PQ ,∴∠PAQ =∠PQA ,……………………………………(1分)∵AD ∥BC ,∴∠PAQ =∠APB ,∠PQA =∠QPC ,∴∠APB =∠EPC ,……(1分) ∵梯形ABCD 中,AD ∥BC ,AB =DC ,∴∠B =∠C ,………………………………(1分) ∴△APB ∽△ECP .…………………………………………………………………(1分) (2)作AM ⊥BC ,PN ⊥AD ,∵AD ∥BC ,∴AM ∥PN ,∴四边形AMPN 是平行四边形,∴AM =PN ,AN =MP .…………………………………………………………………(1分) 在Rt △AMB 中,∠AMB =90°,AB =5,sinB =35, ∴AM =3,BM =4,∴PN =3,PM =AN =x -4,…………………………………………(1分) ∵PN ⊥AQ ,∴AN =NQ ,∴AQ = 2x -8,……………………………………………(1分)∴()1128322y AQ PN x =⋅⋅=⋅-⋅,即312y x =-,……………………………(1分) 定义域是1342x <<.………………………………………………………………(1分)(3)解法一:由△QED 与△QAP相似,∠AQP=∠EQD,①如果∠PAQ=∠DEQ,∵△APB∽△ECP,∴∠PAB=∠DEQ,又∵∠PAQ=∠APB,∴∠PAB=∠APB,∴BP=BA=5.…………………………(2分)②如果∠PAQ=∠EDQ,∵∠PAQ=∠APB,∠EDQ=∠C,∠B=∠C,∴∠B=∠APB,∴AB=AP,∵AM⊥BC,∴BM=MP=4,∴BP=8.…………(2分)综上所述BP的长为5或者8.………………………………………………………(1分)解法二:由△QAP与△QED相似,∠AQP=∠EQD,在Rt△APN中,AP PQ==∵QD∥PC,∴EQ EP QD PC=,∵△APB∽△ECP,∴AP EPPB PC=,∴AP EQPB QD=,①如果AQ EQQP QD=,∴AQ APQP PB==,解得5x=………………………………………………………………………………(2分)②如果AQ DQQP QE=,∴AQ PBQP AP==,解得8x=………………………………………………………………………………(2分)综上所述BP的长为5或者8.………………………………………………………(1分)9。
上海市金山区2018届中考语文二模试题考生注意:1.本试卷共28题。
2.请将所有答案写在答卷上,做在试卷上一律不计分。
一、文言文(40分)(一)默写(15分)1.僵卧孤村不自哀, 。
(《十一月四日风雨大作》)2.草色烟光残照里,。
(《蝶恋花》)3. ,莲动下渔舟。
(《山居秋暝》)4.呼嘘毒疠,。
(《捕蛇者说》5. ,皆出酒食。
(《桃花源记》)(二)阅读下面这首诗,完成第6—7题(4分)钱塘湖春行白居易孤山寺北贾亭西,水面初平云脚低。
几处早莺争暖树,谁家新燕啄春泥。
乱花渐欲迷人眼,浅草才能没马蹄。
最爱湖东行不足,绿杨阴里白沙堤。
6.《钱塘湖春行》是白居易任哪个地方的刺史时所作?()(2分)A.杭州B.苏州C.徐州D.扬州7.下列对诗歌内容理解正确..的一项是( )(2分)A.“水面初平”表明湖水丰盈,勾勒出暮春之景。
B.“乱花写出暮春时节杂花稀少、稀疏的特点。
C.“没马蹄”表明杂草繁茂,把马蹄子都遮住了。
D.“行不足”是因为看不够,表明诗人流连忘返。
(三)阅读下文,完成第8—10题(9分)陈涉世家吴广素爱人,士卒多为用者。
将尉醉,广故数言欲亡,忿恚尉,令辱之,以激怒其众。
尉果笞广。
尉剑挺,广起,夺而杀尉,陈胜佐之,并杀两尉。
召令徒属曰:“公等遇雨,皆已失期,失期当斩。
借第令毋斩,而戍死者固十六七。
且壮士不死即已,死即举大名耳,王俟将相宁有种乎!”徒属皆曰:“敬受命。
”乃诈称公子扶苏、项燕,从民欲也。
袒右,称大楚。
为坛而盟,祭以尉首。
陈胜自立为将军,吴广为都尉。
8.《陈涉世家》选自《》,它是我国第一部通史。
(2分)9.用现代汉语翻译下面句子。
(3分)而戍死者固十六七。
10.这段文字中最能凸显陈胜、吴广智谋的两个字是□、□。
(4分)(四)阅读下文,完成第11-14题(12分)王沂公①善为文辞,咸平②年间,状元及第,还青州故郡。
府帅闻其归.,乃命父老迎于郊。
公乃易.服,乘小驴,由他门入,谒太守。
2018年上海市金山区中考物理二模试卷一、选择题(共16分)下列各题均只有一个正确选项,请将正确选项的代号用2B铅笔填涂在答题纸的相应位置上,更改答案时,用橡皮擦去,重新填涂.1.(2分)在原子中带负电的是()A.质子B.电子C.中子D.原子核2.(2分)摄氏温标规定,在标准大气压下,沸水的温度为()A.50℃B.100℃C.150℃D.200℃3.(2分)能分辨出钟声和鼓声的主要依据是()A.响度B.音调C.音色D.速度4.(2分)光射到平面镜上,入射角为30°,反射角为()A.0°B.30°C.60°D.70°5.(2分)将重为G的物体匀速向上提起,在提起过程中物体受到的合力大小()A.等于G B.大于G C.等于0 D.大于06.(2分)在如图所示的电路中,电源电压保持不变。
闭合电键S,当滑动变阻器的滑片P向右移动时,不变的是()A.电流表A示数与电流表A1示数的差值B.电压表V示数与电流表A示数的比值C.电压表V示数与电流表A1示数的比值D.电压表V示数与电流表A1示数的乘积7.(2分)如图所示,实心均匀正方体甲、乙对水平地面的压强相同。
现沿水平方向分别切去一部分,并将切去部分放置在对方剩余部分的上表面后,若此时它们对地面的压强仍相同,则关于切去的质量△m和高度△h,下列说法正确的是()A.△m甲>△m乙B.△m甲=△m乙C.△h甲>△h乙D.△h甲=△h乙8.(2分)甲车从P点、乙车从Q点沿直线同向而行,P、Q是同一直线上相距10米距离的两个点。
若乙车在甲车运动3秒后才开始运动,当甲车运动8秒时两车恰好相遇,甲车运动的s﹣t图象如图所示,则乙车的速度()A.一定是1.2米/秒B.可能是3.2米/秒C.可能是0.8米/秒D.可能是5.2米/秒二、填空题(共23分)请将结果填入答题纸的相应位置.9.(3分)上海地区家用照明电路的电压是伏;家庭中的空调器与微波炉是(选填“串联”或“并联”)连接的;额定功率为1千瓦的用电器正常工作2小时,耗电度。
2018年上海市金山区中考英语二模试卷一、Listening Comprehension (听力理解)(共30分)1.(6分)1.2.3.4.5.6.2.(1分)A)By plane.B)By train.C)By car.D)By ship.3.(1分)A)At 12:00.B)At 12:15.C)At 11:15.D)At 12:45.4.(1分)A)Husband and wife.B)Father and daughter.C)Shop assistant and customer.D)Doctor and patient.5.(1分)A)Lily.B)Lena.C)Tim.D)David.6.(1分)A)In the classroom.B)In the library.C)In the reading room.D)On the playground.7.(1分)A)Because they jumped into a river.B)Because they met a policeman.C)Because their car broke down.D)Because they met a traffic jam.8.(1分)A)She wants to lose weight.B)She doesn't like sweet food.C)She is too full to eat anything else.D)She would like something else.9.(1分)A)Whether she has something to do on New Year's Eve.B)Whether she will have a New Year's party successfully.C)Whether she will have enough guests for this party.D)Whether she will receive any invitation from others.10.(6分)(1)A young man was once travelling by train and the journey was long but interesting.(2)Almost all passengers in the train were attracted by the house but the young man wasn't.(3)The noise of the train troubled the owner of the house a lot,so he wanted to sell it.(4)The young man thought it was a good place for advertisement because passengers would have plenty of time to look at it.(5)A company agreed to place advertisements on the side of the house for 13years.(6)The story tells us that to discover may bring success and turn disadvantages intoadvantages.11.(10分)(1)In winter,you have to know how to be safe while you're out.(2)Wearing thick clothes is the to stay warm in the cold.(3)Body heat escapes from head,so you'll stay warmer with a hat than.(4)When you're outside in the cold and breathing hard,your body loses.(5)You'll if your body temperature drops even 4or 5degrees while you're outside.二、Choose the best answer (选择最恰当的答案)(共20分)12.(1分)Which of the following underlined parts is different in pronunciation from others?()A.cotton B.wonder C.stomach D.onion13.(1分)Kobe Bryant made____________ exciting short film called "Dear Basketball".()A.a B.an C.the D./14.(1分)To my surprise,the answer turned ____________ to be quite right at last.()A.into B.down C.out D.in15.(1分)The 24th Winter Olympics will be held in Beijing ____________ February,2022.()A.in B.on C.at D.by16.(1分)The students in Mr White's class like to play tennis with ____________after school.()A.he B.his C.himself D.him17.(1分)Hawking wrote____________ popular science books including A Brief History of Time.()A.a little B.little C.a few D.few18.(1分)The young mother tried to talk with her naughty son as ____________ as possible.()A.gentle B.gently C.more gently D.most gently19.(1分)We're proud that our country now has ____________ high﹣speed rail network in the world.()A.long B.longer C.longest D.the longest20.(1分)You'll certainly arrive at your destination(目的地)____________ you stop walking.()A.unless B.if C.because D.although21.(1分)Don't forget to turn on the radio,____________ you'll miss your favourite programme.()A.so B.but C.or D.and22.(1分)He____________ a walk with his wife in the garden from seven to eight last night.()A.was taking B.is taking C.took D.would take23.(1分)The film Amazing China shows us great changes ___________ in China in the past five years.()A.take place B.had taken placeC.have taken place D.took place24.(1分)The famous lawyer ____________ by a news reporter from China Daily just now.()A.has interviewed B.was interviewedC.is interviewing D.is interviewed25.(1分)Our class teacher often advises us____________ full use of time during this important period.()A.make B.makes C.making D.to make26.(1分)I still remember ____________ as a prince in a short play competition.How fantastic it was!()A.to act B.acting C.act D.acted27.(1分)We are eager to know ____________ Tom will be well again and come back to school.()A.how long B.how far C.how soon D.how often28.(1分)﹣____________ we finish the project about the changes of our hometown in a month?﹣No,you don't have to.You can finish it in one and a half months.()A.Must B.Can C.Should D.Would29.(1分)No people in our neighbourhood set off fireworks last year,____________?()A.don't they B.do they C.didn't they D.did they30.(1分)﹣Shall we go to Shanghai Disneyland Park during the summer holidays?﹣____________()A.That sounds interesting. B.Give it another try.C.Thank you very much.D.Sure,you're welcome.31.(1分)﹣You look so upset.What's wrong with you?﹣____________()A.I'm sorry to hear that.B.I'm not quite sure.C.I've lost the key to my bike.D.I've got the first prize.三、Complete the following passage with the words in the box. Each can be used only once(将下列单词填入空格.每空格限填一词,每词只能填一次)(共8分)32.(4分)A.spreads B.drums C.electric D.destroyed E.immediatelyPeople in Mayilattumpara, a village in southwest India,could not sleep at night.That's because wild elephants entered their village to look for food and they (1)crops and farmland.The villagers tried to keep the wild elephants out with(2)fences and deep holes.They even tried beating (3).Nothing worked! The repeated destruction of crops led somevillagers to stop farming.However,the situation turned around last year.People there have finally found what keeps the elephants away:honey bees.A wire fence with beehive (蜂房)(4)around the village.When elephants try to pass the 2.5kilometer wire fence,angry bees fly out in a large group and the elephants run away quickly.Protected by the bees,farmers have returned to growing their crops.33.(4分)A.examination B.technology C.tell D.affect E.restMany of us use our digital devices (电子设备)to wake us up in the morning,listen to music,follow news,find bus schedules,play games and communicate with friends and family.But depending on (1)comes at a price.Studies have found that overuse of electronics can (2)our sleep,the quality of our social communication,and our ability to focus on study and work.To help people take a(3)from their always﹣on lifestyles,the US National Day of Unplugging (拔去插头)was created in 2010.It wants to (4)people to put away their electronics for 24hours.It falls on the second Friday of March each year.四、Complete the sentences with the given words in their proper forms(用括号中所给单词的适当形式完成下列句子.每空格限填一词)(共8分)34.(1分)People are the creators of history and they are the real.(hero)35.(1分)We showed guests around the Oriental Pearl TV Tower last weekend.(we)36.(1分)There were ten students in the room ,then more came in silently.(third)37.(1分)"is achieved through hard work," is on everyone's lips these days.(happy)38.(1分)Cao Chong was so clever that he found a good way to the elephant.(weight)39.(1分)His wife prefers this restaurant because of its environment.(please)40.(1分)You'd better refuse the invitation and give your reasons.(polite)41.(1分)Cheating in the exam is considered as a(n)act and it's not allowed.(honest)五、Rewrite the following sentences as required(根据所给要求完成句子)(共14分)42.(2分)The medical team had completed the task by the end of last month.(改为否定句)The medical team the task by the end of last month.43.(2分)The famous physicist Stephen Hawking passed away on March 14,2018.(就划线部分提问)the famous physicist Stephen Hawking pass away?44.(2分)According to the instruction sign,we can't wash this coat in warm water.(改为被动语态)According to the instruction sign,this coat can't in warm water.45.(2分)They're discussing government work report very carefully.(感叹句)they're discussing government work report!46.(2分)President Xi said to a villager,"I am a servant of the people." (改为宾语从句)President Xi told the villager that a servant of the people.47.(2分)These kids had a wonderful time during the three﹣day winter camp.(保持句意基本不变)These kids during the three﹣day winter camp.48.(2分)won't ,you,until,I,be able to,8o'clock,join (连词成句).六、Reading comprehension(阅读理解)(共50分)49.(12分)Whatever life threw at us each year,our family had one tradition at Christmas:our dog Pepper opened our presents for us.Last year,everyone made it home for a Christmas get﹣together.However,it couldn't feel perfect because Pepper's health was becoming worse.Her life had already been longer than we expected﹣she was fourteen﹣and yet her mind was still sharp.Her love for life made us feel better.But her body could not keep up with her mind.Probably it was Pepper's last Christmas,so we decided to make sure she would enjoy it.On Christmas Eve,we each prepared presents for her.Soon,Pepper selected her first Christmas gift.She turned the present,just as she was a young dog once more.She pulled the paper off the dog treat before she chewed it slowly.Our family was so happy.Pepper saw the other three presents,and then turned to Mom as if asking,"May I open another?""Go ahead,girl!" Mom encouraged.For the next few minutes,Pepper opened each of her Christmas presents.While she did,she reminded us of the joy of being together.Our family felt as a whole ﹣not because we were in the same room or city,but because our love brought us together.Pepper passed away after Christmas.Her peaceful passing made us tearful.Her passing was also a celebration of life,because she gave my family so much love and laughter.I still treasure (珍惜)Pepper's final Christmas gift.She taught me that no matter where we each spend the holidays,the smallest act of sincere giving can unite our family through our love.For me,that knowledge is the longest﹣lasting gift of all.(1)The dog Pepper usually at Christmas.A.chewed the dog treat slowlyB.chose the presents for herselfC.played with the author's family happilyD.opened the presents for the author's family(2)The author thought the Christmas wasn't perfect last year because.A.he didn't get a Christmas giftB.Pepper was in poor healthC.Pepper died on Christmas EveD.he didn't feel the joy of being together(3)The dog Pepper got Christmas gifts last year.A.twoB.threeC.fourD.five(4)The underlined phrase "the longest﹣lasting gift" in the last paragraph refers to "".A.the friendship with the dogB.the holiday the author spent with familyC.the Christmas present for the dogD.the life lesson the author learned from Pepper(5)Which of the following statements is NOT true according to the passage?A.Pepper passed away peacefully after Christmas.B.The smallest act of sincere giving can unite the author's family.C.Pepper brought the author's family a lot of trouble and tears.D.The author's family felt as a whole because of the love among them.(6)The best title for the passage can be "".A.The Power of LoveB.Celebrating ChristmasC.The Importance of Helping OthersD.Enjoying the Happiness of Making Friends50.(12分)Mrs.Dermit,my drama (戏剧)teacher,wanted to look for someone to play a leading role﹣﹣an energetic boy in a play.(1),she thought that I could act this important part.After hearing the good news,my friend Kevin and I talked about the play happily.(2)Kevin wasn't chosen for a role on the stage,his job with helping all the actors was important to the success of the play.I told him I was a little (3)because I had a lot of lines (台词)to memorize."You can do it." he said.I knew I could depend on him:we had been friends since the third grade,and we made a good team.Preparations for the play moved at a quick pace.While doing his own work,Kevin also spent hours helping me learn my lines.He often said my lines with me by silently moving his lips.We even(4)that he could probably play my part as well as I could.Everything was ready for the performance.However,on the day of the play,I woke up with a high fever and I couldn't perform.The play was planned to open in fewer than six hours,and we had no time to cancel it.I tried to think of a way to help.Then it hit me﹣﹣Kevin knew the lines as well as I did.I called Mrs.Dermit to give her my (5).Within a few short hours,Kevin stood on the stage in costume (戏服)and makeup.The amusing lines he had practised with me so many times made the crowd laugh and cheer.In a strange turn of events,Kevin and I had (6)the day for everyone by working as a team.Of course,I was terribly disappointed to have missed my chance in the spotlight,but I was extremely thankful to have such a good friend.(1)A)Recently B)Personally C)Luckily D)Probably(2)A)While B)Although C)Because D)After(3)A)nervous B)bored C)satisfied D)lonely(4)A)proved B)promised C)expected D)joked(5)A)question B)information C)suggestion D)explanation (6)A)kept B)saved C)provided D)spent51.(14分)I still remember my first 10,000m race.That was an unforgettable experience.I was not good at running.I was not strong enough,either.Why did I take part in the race?That's because of my volunteer work.When I was 14years old,I volunteered to work at the water station at a 10,000m race.My job was to pass out water to the runners.I felt (1)e when I saw all the different kinds of people pass by and take a cup of water hurriedly.Some ran past,some walked past and a few wheeled past.After seeing so many (2)t of people do it,I thought maybe I could also do it.So the next year I signed up for the race.During the race,I jogged,I walked,I jogged and I walked.Sometimes I was even not sure (3)i I could finish.Then came an important moment.At one point near the end,an old man ran past me,very,very fast.Therefore,I was embarrassed because I was much younger than him,but I couldn't keep up with him.I felt hopeless for a second.But then I(4)r something.He was running his race and I was running my race.He had different abilities,experience,training and goals for himself.I had (5)m.Remember my goal was only to finish.I learned something important at that moment.I turned my embarrassment into inspiration (鼓舞).I decided that I would not give up though many people ran past me.As I(6)c the finish line,I was proud of my success.In life we all have those moments when we compare ourselves with others.It's only (7)n.Don't allow those moments to weaken you.Turn them into motivation (动力)and let them inspire you.52.(12分)Metropolis Book ClubMembership (会员):All you need to do is to fill in the order form at the bottom of the page,select your first order from our book list and then post the completed form back to us.Special offers for new members:• Choose any reduced﹣price books from our new members' book list,to the value (价值)of 100yuan in total.• Tick (打勾)the box on your form to order a free watch.• Join before the end of this month and you receive another free book.When you've joined:As a member you get around 50% off the publisher's price of every book you buy,and what's more,they come straight to your door.Your free club magazine arrives once a month to let you know the latest best﹣sellers (畅销书).On the Internet,you can find all our titles for the year at our members' website.Our website also has a book swap service where members can exchange books.Being a member:All you have to do is to order four books during your first year.After that,you can decide on the number of books you wish to take.In each of your monthly club magazines,our staff choose a "Book of the Month" for you,which is offered at an extra﹣special price.If you do not want this book,just say so on the form and send it back to us.We always send the book if we do not receive this form.And remember,you have two weeks to decide whether you wish to keep the books you have ordered.If they aren't what you expected,just send them back!(1)To be a member of Metropolis Book Club,do you need to post the completed form back?(2)How does a new member of the club get a free watch?(3)When must you join the club if you want to get another free book?(4)What information do the members get from the free club magazine?(5)What does a member have to do during the first year?(6)Would you like to be a member of the club?Why or why not?(at least two reasons)七、Writing(作文)(共20分)53.(20分)Write at least 60 words on the topic "A precious photo"(以"一张珍贵的照片"为题,写一篇不少于60个词的短文,标点符号不占格)在我们成长的历程中,一定留下了许多珍贵的照片,那些精彩的瞬间,记录着许多美好的回忆和有趣的故事.请选择其中一张珍贵的照片,来讲一讲它背后的故事吧!(注意:短文中不得出现考生的姓名、校名及其他相关信息,否则不予评分.)2018年上海市金山区中考英语二模试卷参考答案与试题解析一、Listening Comprehension (听力理解)(共30分)1.(6分)1.略2.略3.略4.略5.略6.略【解答】略2.(1分)A)By plane.B)By train.C)By car.D)By ship.【解答】略3.(1分)A)At 12:00.B)At 12:15.C)At 11:15.D)At 12:45.【解答】略4.(1分)A)Husband and wife.B)Father and daughter.C)Shop assistant and customer.D)Doctor and patient.【解答】略5.(1分)A)Lily.B)Lena.C)Tim.D)David.【解答】略6.(1分)A)In the classroom.B)In the library.C)In the reading room.D)On the playground.【解答】略7.(1分)A)Because they jumped into a river.B)Because they met a policeman.C)Because their car broke down.D)Because they met a traffic jam.【解答】略8.(1分)A)She wants to lose weight.B)She doesn't like sweet food.C)She is too full to eat anything else.D)She would like something else.【解答】略9.(1分)A)Whether she has something to do on New Year's Eve.B)Whether she will have a New Year's party successfully.C)Whether she will have enough guests for this party.D)Whether she will receive any invitation from others.【解答】略10.(6分)(1)A young man was once travelling by train and the journey was long but interesting.略(2)Almost all passengers in the train were attracted by the house but the young man wasn't.略(3)The noise of the train troubled the owner of the house a lot,so he wanted to sell it.略(4)The young man thought it was a good place for advertisement because passengers would have plenty of time to look at it.略(5)A company agreed to place advertisements on the side of the house for 13years.略(6)The story tells us that to discover may bring success and turn disadvantages into advantages.略【解答】略11.(10分)(1)In winter,you have to know how to be safe while you're out略略.(2)Wearing thick clothes is the略略to stay warm in the cold.(3)Body heat escapes from head,so you'll stay warmer with a hat than略略.(4)When you're outside in the cold and breathing hard,your body loses略略.(5)You'll略略if your body temperature drops even 4or 5degrees while you're outside.【解答】略二、Choose the best answer (选择最恰当的答案)(共20分)12.(1分)Which of the following underlined parts is different in pronunciation from others?()A.cotton B.wonder C.stomach D.onion【解答】考查语音.A.cotton[ˈkɔtən].B.wonder[ˈwʌndə].C.stomach [ˈstʌmək].D.onion[ˈʌnjən].A选项划线部分发/ɔ/.B,C,D选项划线部分发/ʌ/.因此划线部分发音不同的一项是A.故选:A.13.(1分)Kobe Bryant made____________ exciting short film called "Dear Basketball".()A.a B.an C.the D./【解答】考查冠词.句意"科比•布莱恩特制作了一部激动人心的短片叫《亲爱的篮球》.".这里泛指一部激动人心的短片.exciting是以元音音素/ɪ/开头,用an 修饰.故选:B.14.(1分)To my surprise,the answer turned ____________ to be quite right at last.()A.into B.down C.out D.in【解答】turn out to be……,是固定词组,结果是,证明是,结合句意:使我吃惊的是,答案最后完全正确了.故选:C.15.(1分)The 24th Winter Olympics will be held in Beijing ____________ February,2022.()A.in B.on C.at D.by【解答】在具体某一天的前面应该用介词on.在月份,年代,季节前面用in,具体几点钟前面用at.结合句意:第二十四届冬奥会将于2022年2月在北京举行.故选:A.16.(1分)The students in Mr White's class like to play tennis with ____________after school.()A.he B.his C.himself D.him【解答】考查代词.A他,主格.B他的.C他自己.D他,宾格.结合语境"怀特先生班的学生喜欢放学后和__打网球.".可知,应该是"他".介词with后用宾格.故选:D.17.(1分)Hawking wrote____________ popular science books including A Brief History of Time.()A.a little B.little C.a few D.few【解答】考查同义词.A一点儿,修饰不可数名词.B很少,修饰不可数名词.C 一点儿、几,修饰可数名词复数.D很少,修饰可数名词复数.结合语境"霍金写了__科普读物,包括《时间简史》.".可知,应该是"几本".修饰可数名词复数books用a few.故选:C.18.(1分)The young mother tried to talk with her naughty son as ____________ as possible.()A.gentle B.gently C.more gently D.most gently【解答】根据The young mother tried to talk with her naughty son as ____________ as possible,可知as…as…和…一样,中间用原级,这里修饰动词用副词形式.故选:B.19.(1分)We're proud that our country now has ____________ high﹣speed rail network in the world.()A.long B.longer C.longest D.the longest【解答】考查最高级.A长的.B更长的.C最长的,前面通常加the.D最长的.结合语境n the world世界上.可知,三者以上比较,用最高级the longest最长的.故选:D.20.(1分)You'll certainly arrive at your destination(目的地)____________ you stop walking.()A.unless B.if C.because D.although【解答】首先明确选项中各个连词的意思,A:除非;B:如果;C:因为;D:虽然;本题考查的是从属连词的辨析.根据语境推测句意是"除非你停止前行,否则你一定会到达目的地."从句意来看,这里需要一个表假设的连词,说明后句是表假设的条件状语从句,结合选项,unless可以引导一个表假设的条件状语从句,意为"除非",相当于if not.故选:A.21.(1分)Don't forget to turn on the radio,____________ you'll miss your favourite programme.()A.so B.but C.or D.and【解答】根据语境以及上下文,本题考查的是连词的用法.根据设空处前后句子可以推断句意是:别忘记打开收音机,否则你会错过你最喜欢的节目.句型"祈使句+or+陈述句",表示在以祈使句为条件下的相反假设,意为"否则,要不然",所以用连词or(否则);so"所以",but"但是",and"并且"都不符合句意.故选:C.22.(1分)He____________ a walk with his wife in the garden from seven to eight last night.()A.was taking B.is taking C.took D.would take【解答】结合语境推测句意是"昨天晚上从7点到8点,他和他的妻子一起在花园里散步.",判断设空处的动作在过去某个时间段内正在进行着,且动作在一段时间内持续进行,所以用过去进行时,过去进行时的构成是:主语+was/were+动词的现在分词.故选:A.23.(1分)The film Amazing China shows us great changes ___________ in China in the past five years.()A.take place B.had taken placeC.have taken place D.took place【解答】考查动词短语.A发生,一般现在时态.B已经发生,过去完成时态.C 已经发生,现在完成时态.D发生,一般过去时态.结合语境in the past five years 在过去的五年里.可知,in+段时间通常用于现在完成时态.故选:C.24.(1分)The famous lawyer ____________ by a news reporter from China Daily just now.()A.has interviewed B.was interviewedC.is interviewing D.is interviewed【解答】根据语境推测句意是"刚才一个新闻记者采访了那个著名的律师."句子表述的是过去的事情,判断句子中的谓语动词用一般过去时,主语是动作的承受者,所以用被动语态,一般过去时被动语态的构成是:主语+was/were+动词的过去分词.故选:B.25.(1分)Our class teacher often advises us____________ full use of time during this important period.()A.make B.makes C.making D.to make【解答】考查动词的固定搭配.advise sb.to do sth.建议某人做某事,动词不定式短语充当宾语补足语,make full use of充分利用,故选:D.26.(1分)I still remember ____________ as a prince in a short playcompetition.How fantastic it was!()A.to act B.acting C.act D.acted【解答】考查动词的固定搭配.remember doing sth.记得做某事,指已经做过的事,remember to do sth.记得要做某事,指未做过的事.根据How fantastic it was!真是太棒了!由此可以推断出这里指记得已经做过的事.故选:B.27.(1分)We are eager to know ____________ Tom will be well again and come back to school.()A.how long B.how far C.how soon D.how often【解答】根据We are eager to know ____________ Tom will be well again and come back to school,可知这里意思是说我们很想知道汤姆多久能恢复健康,回到学校.这里询问多久用how soon.故选:C.28.(1分)﹣____________ we finish the project about the changes of our hometown in a month?﹣No,you don't have to.You can finish it in one and a half months.()A.Must B.Can C.Should D.Would【解答】结合选项可知本题考查情态动词,首先明确选项中每个单词的意思:A:必须;B:能够;C:应该;D:将会;结合题干推测句意是"﹣﹣我们必须一个月内完成关于家乡变化的课题吗?﹣﹣不,不必要,你们可以在一个半月内完成.",所以Must 符合句意,故选:A.29.(1分)No people in our neighbourhood set off fireworks last year,____________?()A.don't they B.do they C.didn't they D.did they【解答】考查反义疑问句.反意疑问句通常遵循前肯后否,或前否后肯的原则,由No 没有,可知,陈述部分是否定形式.疑问部分用肯定形式.由last year判断句子是一般过去时态,用助动词did.主语people用they代替.故选:D.30.(1分)﹣Shall we go to Shanghai Disneyland Park during the summer holidays?﹣____________()A.That sounds interesting. B.Give it another try.C.Thank you very much.D.Sure,you're welcome.【解答】首先明确各选项中句子的意思,A:听上去真有趣.;B:再试一次;C:非常感谢;D:当然,不客气;根据前面一个人表达的意思是" 暑假期间我们去上海迪士尼乐园好吗?(这是一个提出建议的方式)",确定设空处填" 听上去真有趣."符合语境.故选:A.31.(1分)﹣You look so upset.What's wrong with you?﹣____________()A.I'm sorry to hear that.B.I'm not quite sure.C.I've lost the key to my bike.D.I've got the first prize.【解答】首先明确各选项中句子的意思,A:听说这件事我很遗憾;B:我不是很确信;C:我弄丢了自行车上的钥匙.;D:我获得了第一名;根据前面一个人表达的意思是"你看上去不开心,怎么了?",确定设空处填"我弄丢了自行车上的钥匙."符合语境.故选:C.三、Complete the following passage with the words in the box. Each can be used only once(将下列单词填入空格.每空格限填一词,每词只能填一次)(共8分)32.(4分)A.spreads B.drums C.electric D.destroyed E.immediatelyPeople in Mayilattumpara, a village in southwest India,could not sleep at night.That's because wild elephants entered their village to look for food and they (1)D crops and farmland.The villagers tried to keep the wild elephantsout with(2)C fences and deep holes.They even tried beating(3)B.Nothing worked! The repeated destruction of crops led some villagers to stop farming.However,the situation turned around last year.People there have finally found what keeps the elephants away:honey bees.A wire fence with beehive (蜂房)(4)A around the village.When elephants try to pass the 2.5kilometer wire fence,angry bees fly out in a large group and the elephants run away quickly.Protected by the bees,farmers have returned to growing their crops.【解答】1.D考查动词.根据前句That's because wild elephants entered their village to look for food.这是因为野生大象进入他们的村庄寻找食物,可知结合选项,应说他们毁坏了庄稼和农田.句子是一般过去时,故答案为D.2.C考查名词.根据前后句The villagers tried to keep the wild elephants out with…fences and deep holes.可知结合选项,应说村民们试图用电栅栏和深洞来驱赶野象.故答案为C.3.B考查名词.根据前句They even tried beating,可知结合选项,应说他们甚至试着敲鼓,故答案为B.4.A考查动词.根据前后句A wire fence with beehive (蜂房)…around the village.可知结合选项,应说一个带蜂箱的铁丝网在村子周围蔓延.句子是一般现在时,主语是第三人称单数A wire fence with beehive ,故答案为A.33.(4分)A.examination B.technology C.tell D.affect E.restMany of us use our digital devices (电子设备)to wake us up in the morning,listen to music,follow news,find bus schedules,play games and communicate with friends and family.But depending on (1)B comes at a price.Studies have found that overuse of electronics can (2)D our sleep,the quality of our social communication,and our ability to focus on study and work.To help people take a(3)E from their always﹣on lifestyles,the US National Day of Unplugging (拔去插头)was created in 2010.It wants to (4)C people to put away their electronics for 24hours.It falls on the second Friday of March each year.【解答】1.B.名词考查,depend on依赖,后加名词代词,结合上文是说人们用电子设备,依赖技术价格很高,故这里technology 技术,故答案是B.2.D.动词考查,结合句意overuse of electronics can (2)our sleep和常识可知过度使用电子设备会影响睡眠,故用动词affect影响,故答案是D.3,E.名词考查,结合take a和所给单词用take a rest休息,表示为了让人们休息,美国有了电源拔掉日,故答案是E.4.C.动词考查.want to do sth想要做某事,结合所给单词tell告诉,tell sb to do sth让某人做某事,表示想要告诉人们放下他们的电子产品24小时,故答案是C.四、Complete the sentences with the given words in their proper forms(用括号中所给单词的适当形式完成下列句子.每空格限填一词)(共8分)34.(1分)People are the creators of history and they are the real heroes.(hero)【解答】根据People are the creators of history and they are the real﹣﹣.(hero)从主语判断这里名词应该用复数形式.故填heroes.35.(1分)We showed our guests around the Oriental Pearl TV Tower last weekend.(we)【解答】根据We showed﹣﹣guests around the Oriental Pearl TV Tower last weekend.(we)可知这里修饰名词用形容词性物主代词.故填our.36.(1分)There were ten students in the room ,then three more came in silently.(third)【解答】根据There were ten students in the room ,then﹣﹣more came in silently.(third)可知这里表示数量用基数词.故填three.37.(1分)"Happiness is achieved through hard work," is on everyone's lips these days.(happy)【解答】根据"﹣﹣is achieved through hard work," is on everyone's lips these days.(happy)可知这里放在主语的位置用名词形式.故填Happiness.38.(1分)Cao Chong was so clever that he found a good way to weigh the elephant.(weight)【解答】根据Cao Chong was so clever that he found a good way to﹣﹣the elephant.(weight)可知这里考查a good way to do sth,这里用动词原形.故填weigh.39.(1分)His wife prefers this restaurant because of its pleasant environment.(please)【解答】根据His wife prefers this restaurant because of its﹣﹣environment.(please)可知这里修饰名词用形容词形式.故填pleasant.40.(1分)You'd better refuse the invitation politely and give your reasons.(polite)【解答】根据You'd better refuse the invitation﹣﹣and give your reasons.(polite)可知修饰动词用副词形式.故填politely.。
2018年金山区二模答案
九年级数学 第2页 共4页
金山区2017学年第二学期初三数学期中质量检测
参考答案及评分建议2018.4.19
一、选择题:(本大题共6题,每题4分,满分24分)
1.B ; 2.C ; 3.D ; 4.C ; 5.A ;
6.B .
二.填空题:(本大题共12题,满分48分)
7.()1a a -; 8.2x ≥; 9.2x =; 10.三;
11.12
; 12.4k <; 13.4; 14.80; 15.50; 16.12; 17.3d 15<<;
18.52
或10. 三、(本大题共7题, 第19~22题每题10分, 第23、
24题每题12分, 第25题14分, 满分78分)
19.
解:原式
=124-+…………………………………
………………………(8分)
14-+………………………………………
九年级数学第3页共4页
九年级数学 第4页 共4页
AEB ,……………………………………
………………………………(1分)
∵AE=BC ,DF ⊥AE ,∴AD=AE ,∠
AFD=
∠EBA=90°,………………………(2分) ∴△ADF ≌△EAB
,∴AF =EB ,………………………………………………………(2分)
(2)设BE =2k ,EC =k ,则AD =BC =AE =3k ,AF =BE =2k ,…………………………(1分)
∵∠ADC =90°,∠AFD =90°,∴∠
CDF +∠ADF =90°,∠DAF +∠ADF =90°,
∴∠CDF =∠
DAF …………………………………………………………………(2分)
在Rt △ADF 中,∠AFD =90°,
DF
=
∴cot ∠CDF =cot ∠
DAF
=5AF DF ==.………………………………(2
九年级数学 第5页 共4页
分)
22.解:(1)设2y 关于x 的函数关系式是222y k x b =+,
根
据题意,得:2222200404k b k b +=⎧⎨+=⎩,……………………………………………
…(2分)
解
得:215k =,24b =-,………………………………………………
………(2分) ∴2y 关于x 的函数关系式是
2145y x =-.……………………………………(1分)
(2)设1y 关于x 的函数关系式是11y k x =,
根据题意,得:1404k
=,∴1110k =, 1y 关于x 的函数关系式是
1110y x =,…………………………………………(1
分)
当
16y =时,60x =,当26y =时,50x =,………………………………(2分)
∴骑自行车的学生先到百花公园,先
九年级数学 第6页 共4页 到了10分钟.…………………………(2分)
23.证明:(1)∵AE //BC ,∴∠AEM =∠DCM ,∠EAM =∠CDM ,…………………………(1分)
又∵AM=DM ,∴△AME ≌△DMC ,
∴AE =CD ,………………………………(1分)
∵BD=CD ,∴
AE =BD .……………………………………………………………(1分)
∵AE ∥BD ,∴四边形AEBD 是平行四
边形.……………………………………(2分) (
2)∵AE //BC ,∴AF AE FB BC =.……………………………………………
…………(1分)
∵AE=BD=CD ,∴12AF AE FB BC ==,∴
AB=3AF .……………………………(1分)
∵
AC=3AF ,∴AB=AC ,…………………………………………………………(1分)
又∵AD 是△ABC 的中线,∴AD ⊥BC ,
即∠ADB =90°.……………………(1分)
九年级数学 第7页 共4页 ∴
四边形AEBD 是矩形.…………………………………………………
………(1分) 24.解:(1)∵二次函数2y x
bx c =++的图像经过点A (1,0)和B (3,0),
∴10930b c b c ++=⎧⎨++=⎩,解得:4b =-,3c =.………………………………………(2分)
∴这条抛物线的表达式是243y x x =-+…………………………………………(1
分)
顶点P 的坐标是(2,-1).…………………………………………………………(1分)
(2)抛物线243y x x =-+的对称轴是直线2x =,设点
E 的坐标是(2,m ).……(1分) 根据题意得:
=解得:m=2,……(2分) ∴点
E 的坐标为(2,2).……………………………………………………………(1分)
九年级数学 第8页 共4页
(3)解法一:设点Q 的坐标为2(,43)t t
t -+,记MN
与x 轴相交于点F . 作QD ⊥MN ,垂足为D ,
则
2DQ t =-,2243241DE t t t t =-+-=-+…………………………………(1
分) ∵∠QDE=∠BFE=90°,
∠QED=∠BEF
,∴△QDE ∽△BFE ,…………………(1分) ∴DQ DE BF EF =,∴224112
t t t --+=, 解得
11t =(不合题意,舍去),25t =.……………………………………………(1
分) ∴5t =,点E 的坐标为(5,
8).…………………………………………………(1分)
解法二:记MN 与x 轴相交于点F .联结AE ,延长AE 交抛物线于点Q ,
∵AE=BE , EF ⊥AB ,∴∠AEF=∠NEB ,
又∵∠AEF=∠MEQ ,∴∠QEM=∠
九年级数学 第9页 共4页
点Q 是所求的点,设点Q 的坐标为
2(,43)t t t -+,
作QH ⊥x 轴,垂足为H ,则QH =243t t -+,
OH =t ,AH =t -1,
∵EF ⊥x 轴,∴EF ∥QH ,∴EF AF QH AH
=,∴221431t t t =-+-,……………(1分)
解得
11t =(不合题意,舍去),25t =.……………………………………………(1
分) ∴5t =,点E 的坐标为(5,
8).…………………………………………………(1分)
25.解:(1)在⊙P 中,PA =PQ ,∴∠PAQ =∠PQA ,……………………………………(1分)
∵AD ∥BC ,∴∠PAQ =∠APB ,∠PQA
=∠QPC ,∴∠APB =∠EPC ,……(1分)
∵梯形ABCD 中,AD ∥BC ,AB =DC ,∴∠B
=∠C ,………………………………(1分)
∴
△APB ∽△
九年级数学 第10页 共4页 …………………(1分)
(2)作AM ⊥BC ,PN ⊥AD ,
∵AD ∥BC ,∴AM ∥PN ,∴四边形
AMPN 是平行四边形,
∴AM =PN ,
AN =MP .…………………………………………………………………(1分)
在Rt △AMB 中,∠AMB =90°,AB =5,
sinB =35,
∴AM =3,BM =4,∴PN =3,
PM =AN =x -4,…………………………………………(1分)
∵PN ⊥AQ ,∴AN =NQ ,∴AQ =
2x -8,……………………………………………(1分) ∴
()1128322y AQ PN x =⋅⋅=⋅-⋅,即312y x =-,……………………………(1分)
定义
域是
13
42x <<.……………………………………………
…………………(1分)
(3)解法一:由△QED 与△QAP 相似,∠
AQP =∠EQD ,
①如果∠PAQ =∠DEQ ,∵△APB ∽△
ECP ,∴∠PAB =∠DEQ ,
又∵∠PAQ =∠APB ,∴∠PAB =∠
APB ,∴BP =BA =5.…………………………(2分)
②如果∠PAQ =∠EDQ ,∵∠PAQ =∠
APB ,∠EDQ =∠C ,∠B =∠C ,
∴∠B =∠APB ,∴ AB =AP ,∵AM ⊥
BC ,∴ BM =MP =4,∴ BP =8.…………(2分)
综上所述BP 的长为5或者
8.………………………………………………………(1分)
解法二:由△QAP 与△QED 相似,∠AQP
=∠EQD ,
在Rt △APN 中,
AP PQ === ∵QD ∥PC ,∴EQ EP QD PC
=,
∵△APB ∽△ECP ,∴AP EP PB PC
=,∴AP EQ PB QD =, ①如果
AQ EQ QP QD =,∴AQ AP QP PB =,即
x =,
解
得5x =……………………………………………………
…………………………(2分) ②如果AQ DQ QP QE =,∴AQ PB QP AP =,即
=,
解
得8x =……………………………………………………
…………………………(2分)
综上所述BP 的长为5或者8.………………………………………………………(1分)。