山西省名校联考2018届高三上学期期末数学试卷(文科) Word版(含解析)
2017-2018学年山西省名校联考高三（上）期末数学试卷（文科）
一、本大题共12小题，每小题5分，在每小题给出的四个选项中，只有一项是符合题目要求的.
1．设集合A={x|﹣3＜x＜4}，集合B={x|x＜log29}，则A∪B等于（）
A．（﹣3，log29）B．（﹣3，4）C．（﹣∞，log29）D．（﹣∞，4）
2．复数在复平面上所对应的点位于（）
A．第一象限 B．第二象限 C．第三象限 D．第四象限
3．已知向量=（3，4），=（2，x），若?=2||，则实数x等于（）
A．﹣1 B．1 C．2 D．11
4．已知椭圆+=1的上顶点为A、右顶点为B，直线x﹣2y=0过线段AB的中点，则
实数k等于（）
A．2 B．3 C．4 D．6
5．已知α∈（﹣，0），且cosα=，则sin（π+2α）等于（）
A．B．﹣C．D．﹣
6．从集合A={﹣1，，2}中随机选取一个数记为k，从集合B={，，2}中随机选取一个数记为a，则a k＞1的概率为（）
A．B．C．D．
7．如图是一个程序框图，则输出s的值是（）
A．5 B．7 C．9 D．11
8．已知A、B、C三点在球O的球面上，AB=BC=CA=3，且球心O到平面ABC的距离等
于球半径的，则球O的表面积为（）
A．12πB．16πC．18πD．
9．已知函数f（x）=x3﹣（1+）x2+2bx在区间（﹣3，1）上是减函数，则实数b的取值
范围是（）
A．（﹣∞，﹣3]B．（﹣∞，1]C．[1，2]D．[﹣3，+∞）
10．已知函数f（x）=2cos（ωx+φ）+1（ω＞0，|φ|＜），其图象与直线y=3相邻两个交
点的距离为，若f（x）＞1对?x∈（﹣，）恒成立，则φ的取值范围是（）
A．[﹣，] B．[﹣，0]C．（﹣，﹣]D．[0，]
11．如图是一个几何体的三视图，则该几何体的体积为（）
A．B．C．23 D．24
12．已知函数f（x）=，且函数g（x）=log a（x2+x+2）（a＞0，且a≠1）在[﹣，
1]上的最大值为2，若对任意x1∈[﹣1，2]，存在x2∈[0，3]，使得f（x1）≥g（x2），则实数m的取值范围是（）
A．（﹣∞，﹣]B．（﹣∞，]C．[，+∞）D．[﹣，+∞]
二、填空题：本大题共4小题，每小题5分，共20分.
13．在△ABC中，A=60°，2asinB=3，则b=．
14．已知函数f（x）=log3x+x+m在区间（，9）上有零点，则实数m的取值范围是．
15．如果实数x，y满足条件，则z=的最大值为．
16．已知双曲线C：﹣=1（a＞0，b＞0）和圆O：x2+y2=b2．过双曲线C上一点P引
圆O的两条切线，切点分别为A，B．若△PAB可为正三角形，则双曲线C的离心率e的取值范围是．
三、解答题：本大题共5小题，共70分，解答应写出文字说明，证明过程或演算步骤.
17．设公比不为1等比数列{a n}的前n项和为S n，已知a3是a1和a2的等差中项，S4+a2=．（1）求a n；
（2）已知等差数列{b n}的前n项和T n，b1=a3，T7=49，求++…+．
18．为了解某班学生喜好体育运动是否与性别有关，对本班50人进行了问卷调查得到了如下的列联表：
已知喜好体育运动与否，采用分层抽样法抽取容量为10的样本，则抽到喜好体育运动的人数为6．
（1）请将上面的列联表补充完整；
（2）能否在犯错误的概率不超过0.005的前提下认为喜好体育运动与性别有关？说明你的
（参考公式：K2=，其中n=a+b+c+d）
19．如图，直三棱柱ABC﹣A1B1C1中，D、E分别是棱BC、AB的中点，点F在棱CC1上，已知AB=AC，AA1=3，BC=CF=2．
（1）求证：C1E∥平面ADF；
（2）若点M在棱BB1上，当BM为何值时，平面CAM⊥平面ADF？
20．平面直角坐标系xoy中，直线x﹣y+1=0截以原点O为圆心的圆所得的弦长为
（1）求圆O的方程；
（2）若直线l与圆O切于第一象限，且与坐标轴交于D，E，当DE长最小时，求直线l的方程；
（3）设M，P是圆O上任意两点，点M关于x轴的对称点为N，若直线MP、NP分别交于x轴于点（m，0）和（n，0），问mn是否为定值？若是，请求出该定值；若不是，请说明理由．
21．已知函数f（x）=x2﹣（2a+2）x+（2a+1）lnx
（1）若曲线y=f（x）在点（2，f（2））处的切线的斜率小于0，求f（x）的单调区间；
（2）对任意的a∈[，]，函数g（x）=f（x）﹣在区间[1，2]上为增函数，求λ的取值范围．
选考题（请考生从22、23、24题中任选一题作答，如果多做，则按所做的第一题计分）选修4-1：几何证明选讲
22．如图，AB是圆O的直径，C为圆周上一点，过C作圆O的切线l，过A作直线l的垂线AD，D为垂足，AD与圆O交于点E．
（1）求证：AB?DE=BC?CE；
（2）若AB=8，BC=4，求线段AE的长．
选修4-4：坐标系与参数方程
23．已知极点与直角坐标系的原点重合，极轴与x轴的正半轴重合，圆C的极坐标方程是
ρ=asinθ，直线l的参数方程是（t为参数）
（1）若a=2，直线l与x轴的交点是M，N是圆C上一动点，求|MN|的最大值；
（2）直线l被圆C截得的弦长等于圆C的半径的倍，求a的值．
选修4-5：不等式选讲
24．已知实数a、b满足：a＞0，b＞0．
（1）若x∈R，求证：|x+a|+|x﹣b|≥2．
（2）若a+b=1，求证： ++≥12．
2020年高三英语【名校、地市联考】精选仿真模拟卷01(试卷版)
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山东省2020届高三英语12月联考试题
h叶利带 明主旦 件 央语 注意事项： 1.答卷前，考生务必将自己的姓名、考生号等填写在答题卡和试卷指定位置上。 2.回答选择题时，选出每小题答案后，用铅笔把答题卡上对应题目的答案标号涂 黑。如需改动，用橡皮擦干净后，再选涂其他答案标号。回答非选择题时，将答案写在 答题卡上。写在本试卷上无效。 3.考试结束后，将本试卷和答题卡一并交囚。 第一部分阅读（共两节，满分50分） 第一节（共15小题：每小题2.5分，满分37.5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工页。 A Why go to Madrid? There may be a slight chill （寒冷）in the air, with temperatures staying a r ound 15。C in March, but Spain’s handsome capital is slowly starting to _warm up. Even more a位ractive are the cultural events. A new exhibition on the living and working spaces of Spain’s greatest artist, Picasso, has just opened in the studio at the Fundaci6n Mapfre at Paseo de Recoletos 23. It runs until 11 May with rarely seen pieces borrowed from his family. Later this summe几the400th anniversary of the death of the Renaissance （文艺复兴） painter El Greco will be marked with an exciting exhibition at也e Museo del Prado at Paseo de! Prado from 24 June to 5 October. How togo? The widest range of flights is offered by Easy J et一企om Bristol, Edinbur驹，Gatwick, Liverpool and Luton. B ritish Airways and its sister airline Iberia combine forces from Heathrow and London City. Ryanair flies from Manchester and Stansted; Air Europa flies from Gatwick. 英语试题第1页（共9页〉 Bar梆ai叩ort is 13km north-east of the city centre and is served by frequent trains on Metro line 8, but the shortest underground journey is a bit complex with at least one change at Nuevos Ministerios station and takes about 30 minutes. The也re to any station in the city centre is €4.50. The airport express bus runs eve可15to 35 minutes around the clock；白one way. It takes 40 minutes to reach the city centre. A taxi takes half the time. A flat rate ofε30、 covers most of central Madrid. I.When will the exhibition about Picasso close? A.On 23 March. C.On 24 June. B.On 1 l沁fay. D.On 5 O ctober. 2.Which airline operates flights from Manchester to Madrid? A.EasyJet. C.Air Europa. B.Ryanair. D.BritishAirways. 3.What is the fastest way to reach central Madrid from Bar苟as ai叩ort? A.Take a taxi. B.Take a city bus. C.Take Metro line 8. D. Take the airport express bus. B My school appeared on the news last week because we had made an important change in our local area. Our class had planted a large garden in what was once only a vacant lot. It was a lot of work but it was all worth it. I got blisters （水泡）企om digging, and we all got insect bites, too. I learned a lot about 伊dening and collaboration （合作），and then I learned about the media. Our teacher telephoned the TV station and informed them of what we had accomplished. She spoke with the produce汇The producer checked with the directors, but they said there were plenty of stories similar to ours. They wanted to know what was special about our p缸t icular garden, since many schools plant them. The teacher explained that, after going on the Internet to learn about the prairie （大草原）， we had made a prairie garden. We had gone to a prairie and gotten seeds from the plants, and then we planted them. We did not water the garden, but we did weed it. We decided to let nature water it with rain, since that was how prairies grew in the past. We sent a picture of t he garden to the news station. In the picture, the grass was so high that it stood taller than the fourth grade students. 英语试题第2页（共9页）
2019年浙江省十校联盟高三10月联考英语试题及答案解析
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2019-2020年高三第三届联考试题英语
2019-2020年高三第三届联考试题英语 考生注意： 1．本试卷分第一卷和第二卷两部分，共150分。考试时间120分钟。 2．请将各题答案填在试卷后面的答题卷上。[来源:学科网ZXXK] 3．本试卷主要考试内容：高中综合 第一卷 第一部分：听力（共两节，满分30分） 第一节（共5小题；每小题1．5分，满分7．5分） 听下面5段对话。每段对话后有一个小题，从题中所给的A、B、C三个选项中选出最佳选项，并标在试卷的相应位置。听完每段对话后，你都有10秒钟的时间来回答有关小题和阅读下一小题。每段对话仅读一遍。 1．What are the speakers talking about? A．A relative．B．A room．C．A present．[来源:Z§xx§https://www.360docs.net/doc/eb6920790.html,] 2．What do we know about the woman? A．She's excited about the trip． B．She's uninterested in the trip． C．She's regretful for the trip． 3．How far will the man have to walk to get to the nearest bank? A．Two blocks．B．Three blocks．C．Five blocks． 4．Where will the woman get cigarettes for the man? A．At the drugstore．B．At her aunt's．C．At the supermarket. 5．What do we know from the conversation? A．The woman is dishonest． B．The man and John are good friends． C．The woman's mother has a low opinion of John． 第二节（共15小题；每题1．5分，满分22．5分） 听下面5段对话或独白。每段对话或独白后有几个小题，从题中所给的A，B，C三个选项中选出最佳选项，并标在试卷的相应位置。听每段对话或独白前，你将有时间阅读各个小题，每小题5秒钟；听完后，每小题将给出5秒钟的作答时间。每段对话或独白读两遍。 听第6段材料，回答第6至8题。 6．What day does the conversation probably take place? A．On Saturday．B．On Wednesday．C．On Tuesday．7．Where does the conversation most likely take place? A．At school．B．In the park．C．In the hospital． 8．What caused the woman’s illness? A．Her not getting proper meals．
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