2020-2021学年甘肃省兰州市一中高一上学期期中考试英语试题
2021年甘肃省兰州市中考英语试卷及答案
2021年甘肃省兰州市中考英语试卷及答案（B卷）一、完形填空（共1小题：每小题10分，满分10分）阅读下面短文，从短文后各题所给的四个选项中选出能填入空白处的最佳答案。
When I was in junior high school，I was not good at sports because I was overweight （超重）.I was often laughed at by some of my classmates in my PE.class.That made me（1）.Gradually，I came to believe that I did not have the（2） for sports.One day，I was playing ping﹣pong with a classmatein my PE.class.My teacher said I was playing （3）andasked me to show the other students how to play.I was veryhappy （4） it was the first time I was praised bymy PE.teacher.I tried my best to do it with my classmates.To mysurprise，I did better than I had thought.From then on，I made up my mind to （5）every day.My teacher encouraged me to join the school sports club.（6） a lot of practice，I became one of the best ping﹣pong players in my school.I started to enjoy（7） and took part in many different kinds of activities：running，swimming and playingbasketball.One year later，I not only did well in my PE.Class but also（8）10 kg and even became a star in the school sports games.Now，I have made many good friends （9） I'm getting on well with them.Doing sports makes me outgoing and confident.The experience of going from failure to success has taught me that（10） is impossible.Everyone can be successful if he or she works hard.（1）A.sad B.happy C.excited D.sleepy（2）A.time B.talent C.chance D.energy（3）monly B.carelessly C.badly D.well（4）A.if B.so C.unless D.because（5）A.play basketball B.run C.practice ping-pong D.swim（6）A.Before B.About C.After D. In（7）A.music B.sports C.art D.science（8）A.lost B.got C.made D.received（9）A.but B.and C.or D.if(10)A . everything B.something C.anything D.nothing二、阅读理解（共3小题：每小题10分，满分30分）阅读下面三段材料，根据材料内容和要求。
甘肃省部分名校2020-2021学年高一上学期期末考试英语试题精选汇编：书面表达专题
甘肃省部分名校2020-2021学年高一上学期期末考试英语试题精选汇编书面表达专题甘肃省静宁县第一中学2020-2021学年高一上学期期末考试英语试题第四部分书面表达（满分25分）近年来全球许多国家开始在公共场所禁止吸烟。
针对这个问题，你班同学组织了一场辩论会，请你根据下表内容，以“Should people stop smoking in public places?”为题，写一篇短文，客观介绍双方的不同观点, 并表达你自己的观点。
注意：1、词数：100左右；2、题目已给出，不计入总词数。
Should people stop smoking in public places?【答案】参考范文：Should people stop smoking in public places?Our class had a heated debate whose topic was about whether people should stop smoking in public places. Opinions vary on this topic.Some students agree that smoking is dangerous. Not only does smoking harm smokers themselves but also harm the people around them. Stopping smoking in public places would also urge smokers to smoke less or give it up.However, others hold an opposite view. They believe that it’s legal to smoke and smokers should have the freedom and right to smoke in any place they like. Besides, stopping smoking in public places would drive many bars, pubs or clubs out of business. What’s worse, many people will be out of job because of this.As far as I am concerned, stopping smoking in public places is really necessary for the benefit of both smokers and non-smokers.甘肃省兰州市第二十七中学2020-2021学年高一上学期期末考试英语试卷第三节书面表达（满分25分）假如你是高一学生李华，你想与一名叫王林的灾区同学成为朋友，并在学习上给予他一定的帮助，请给他写一封信，信的内容包括：1. 你个人的基本情况（年龄，爱好，特长，理想）;2. 向他介绍你的学习经验（至少两条）;3. 欢迎他到学校学习参观。
2020-2021学年度第一学期期中期末考试试卷含答案共六套
2020-2021学年度第一学期期中考试试卷六年级英语（本试卷分为两个部分，共十一个大题，总分100分，考试时间60分钟）第一部分听力(40分)一、请听录音，从A、B、C中选出你听到的正确答案，并用2B铅笔把答题卡上对应题目的答案标号涂黑。
（听两遍）（共5小题，每小题2分，计10分）( )1.A.tomorrow B.tonight C.today( )2.A.visit B.write C.get( )3.A.word book ic book C.storybook( )4.A.next B.behind C.near( )5.A.straight B.left C.right二、请听录音，判断下列句子与你听到的内容是否相符，相符的写“T”，不相符的写“F”，并用2B铅笔把答题卡上对应题目的答案标号涂黑。
（听两遍）（共5小题，每小题2分，计10分）( )6.Turn left at the bookstore.( )7.It’s red.We must stop and wait.( )8.I’m going to visit my uncle tomorrow.( )9.I have to do my homework now.( )10.Go straight and you can see the Palace museum.三、请听小对话，从A、B、C中选出你听到的正确图片，并用2B铅笔把答题卡上对应题目的答案标号涂黑。
（听两遍）（共5小题，每小题2分，计10分）( )11.A. B. C.( )12.A. B. C.( )13.A. B. C.( )14.A. B. C.( )15.A. B. C.四、请听对话，根据所听到的内容补全下面短文中缺少的单词，并将正确答案用黑色墨水笔或黑色签字笔填写在答题卡规定的位置上（一空一词）。
（听三遍）（共5个空，每空2分，计10分）A:Excuse me,sir.How can I get to the 16. ?I’m going to buy a 17. .B:First,18. right here.Then go 19. and you can see it.It’s next tothe 20. .A:Thanks!Bye!第二部分笔试(60分)五、请从A、B、C、D中选出不同类的一项，并用2B铅笔把答题卡上对应题目的答案标号涂黑。
2020-2021学年甘肃省兰州市第一中学高一上学期期末考试数学试题 Word版
兰州一中2020-2021-1学期期末考试试题高一数学命题人:陈小豹 审题人：刘雪峰说明：本试卷分第Ⅰ卷（选择题）和第Ⅰ卷（非选择题）两部分.满分150分，考试时间120分钟.答案写在答题卡上，交卷时只交答题卡.第Ⅰ卷（选择题）一、选择题（本大题共12 小题，每小题5分，共60分，在每小题给出的四个选项中，只有一项是符合题目要求的，请将正确答案涂在答题卡上．．．．．．．．．．．．.） 1．如图，A B C '''∆是水平放置的△ABC 的斜二测直观图，其中2O C O A O B ''''''==，则以下说法正确的是（ ）A ．△ABC 是钝角三角形B ．△ABC 是等腰三角形，但不是直角三角形C ．△ABC 是等腰直角三角形D ．△ABC 是等边三角形2．已知直线l 1：2x +(a +5)y －8＝0，l 2：(a +3)x +4y +3a －5＝0平行，则实数a 的值为（ ）A ．﹣1或﹣7B ．﹣7C ．﹣1D ．133- 3. 用一个平面去截一个几何体，截面的形状是三角形，那么这个几何体不可能是（ ）A ．圆锥B ．圆柱C ．三棱锥D ．正方体4．已知三条直线a ，b ，c 满足：a 与b 平行，a 与c 异面，则b 与c （ ）A ．一定异面B ．一定相交C ．不可能平行D ．不可能相交5．在三棱锥A ﹣BCD 中，若AD ⊥BC ，AD ⊥BD ，那么必有（ ）A ．平面ADC ⊥平面BCDB ．平面ABC ⊥平面BCDC ．平面ABD ⊥平面ADC D ．平面ABD ⊥平面ABC 6．在正方体ABCD －A 1B 1C 1D 1中，E ，F 分别是AB ，AD 的中点，则异面直线B 1C 与EF 所成角的大小为( )A ．30°B ．45°C ．60°D ．90°7．过点A （2，1），B （m ，3）的直线的倾斜角α的范围是0045135α<<，则实数m 的取值范围是（ ）A ．0＜m ≤2B ．0＜m ＜4C ．2≤m ＜4D ．0＜m ＜2或2＜m ＜48．已知l ，m 是两条不同的直线，α，β是两个不同的平面，且l ∥α，m ⊥β，则下列命题中不正确的是（ ）A ．若α∥β，则m ⊥αB ．若α∥β，则l ⊥mC ．若l ⊥m ，则l ∥βD ．若m ∥α，则α⊥β 9．若三条直线x ﹣2y +2＝0，x ＝2，x +ky ＝0将平面划分成6个部分，则k 可能的取值情况是 （ ）A ．只有唯一值B ．有两个不同的值C．有三个不同的值D．无穷多个值10．已知某几何体是由正四棱柱割去两部分后得到，其三视图如图所示，则该几何体的表面积和体积为（）A．573,3+，B．73,5+C．533,3+D．13,5+11．《九章算术》中对一些特殊的几何体有特定的称谓，例如：将底面为直角三角形的直三棱柱称为堑堵，将一堑堵沿其一顶点与相对的棱刨开，得到一个阳马（底面是长方形，且有一条侧棱与底面垂直的四棱锥）和一个鳖臑（四个面均为直角三角形的四面体）．在如图所示的堑堵ABC﹣A1B1C1中，已知AB＝3，BC＝4，AC＝5，若阳马C1﹣ABB1A1的外接球的表面积等于50π，则鳖臑C1﹣ABC的所有棱中，最长的棱的棱长为（）A．5B．41C．52D．812．在等腰直角三角形ABC中，AB＝AC＝4，点P是边AB边上异于AB的一点，光线从点P出发，经BC，CA反射后又回到点P（如图），若光线QR经过△ABC的重心，则AP等于（）A．2B．1C．83D．43第Ⅰ卷（非选择题）二、填空题（本大题共4小题，每小题5分，共20分,将答案写在答题卡上．．．．．．．．．.）13．已知圆锥的表面积为3π，且它的侧面展开图是一个半圆，则它的母线长为．14．已知直线l1的方程为3x＋4y－7＝0，直线l2的方程为6x＋8y＋1＝0，则直线l1与l2的距离为________．15．如图，在四面体A－BCD中，已知棱AC的长为2，其余各棱长都为1，则二面角A－CD－B的平面角的余弦值为________．16．已知直线l1：ax－2y＝2a－4，l2：2x＋a2y＝2a2＋4，当0<a<2时，直线l1，l2与两坐标轴围成一个四边形，当四边形的面积最小时，实数a＝________．三、解答题（本大题共6小题，共70分）17．（本小题满分10分）根据所给条件求直线的方程：(1)直线过点(－3，4)，且在两坐标轴上的截距之和为12；(2)直线过点(5，10)，且到原点的距离为5．18．（本小题满分12分）在一个如图所示的直角梯形ABCD内挖去一个扇形，E恰好是梯形的下底边的中点，将所得平面图形绕直线DE旋转一圈，求所得几何体的表面积和体积．19．（本小题满分12分）如图，在直四棱柱1111D C B A ABCD -中，底面ABCD 是边长为2的正方形，F E ,分别为线段BD DD ,1的中点．(1)求证：∥EF 平面11D ABC ；(2)四棱柱1111D C B A ABCD -的外接球的表面积为π16，求异面直线EF 与BC 所成的角的大小．20．（本小题满分12分）在△ABC 中，BC 边上的高所在直线的方程为x －2y ＋1＝0，∠BAC 的角平分线所在的直线方程为y ＝0.若点B 的坐标为(1,2)，求点A 和点C 的坐标．21．（本小题满分12分）如图，在四棱锥P ﹣ABCD 中，P A ⊥平面ABCD ，底面ABCD为菱形，E 为CD 的中点．(1)求证：BD ⊥PC ；(2)在棱PB 上是否存在点F ，使得CF ∥平面P AE ？若存在描述F 的位置并证明，若不存在，说明理由．22．（本小题满分12分）如图，在正三棱柱ABC ﹣A 1B 1C 1（侧棱垂直于底面，且底面是正三角形）中，AC＝CC1＝6，M是棱CC1的中点．（1）求证：平面AB1M⊥平面ABB1A1；（2）求A1M与平面AB1M所成角的正弦值．兰州一中2020-2021-1学期期末考试试题高一数学命题人:陈小豹审题人：刘雪峰说明：本试卷分第Ⅰ卷（选择题）和第Ⅰ卷（非选择题）两部分.满分150分，考试时间120分钟.答案写在答题卡上，交卷时只交答题卡.第Ⅰ卷（选择题）一、选择题（本大题共12 小题，每小题5分，共60分，在每小题给出的四个选项中，只有一项是符合题目要求的，请将正确答案涂在答题卡上．．．．．．．．．．．．.）1．如图，△A′B′C′是水平放置的△ABC的斜二测直观图，其中O′C′＝O′A′＝2O′B′，则以下说法正确的是（）A．△ABC是钝角三角形B．△ABC是等腰三角形，但不是直角三角形C．△ABC是等腰直角三角形D．△ABC是等边三角形答案C2．已知直线l1：2x+(a+5)y－8＝0，l2：(a+3)x+4y+3a－5＝0平行，则实数a的值为（）A．﹣1或﹣7B．﹣7C．﹣1D．−133答案B3. 用一个平面去截一个几何体，截面的形状是三角形，那么这个几何体不可能是（）A．圆锥B．圆柱C．三棱锥D．正方体答案B4．已知三条直线a，b，c满足：a与b平行，a与c异面，则b与c（）A．一定异面B．一定相交C．不可能平行D．不可能相交答案C5．在三棱锥A﹣BCD中，若AD⊥BC，AD⊥BD，那么必有（）A．平面ADC⊥平面BCD B．平面ABC⊥平面BCDC．平面ABD⊥平面ADC D．平面ABD⊥平面ABC答案A6．在正方体ABCD－A1B1C1D1中，E，F分别是AB，AD的中点，则异面直线B1C与EF 所成角的大小为()A.30°B.45°C.60°D.90°答案C7．过点A（2，1），B（m，3）的直线的倾斜角α的范围是，则实数m的取值范围是（）A．0＜m≤2B．0＜m＜4C．2≤m＜4D．0＜m＜2或2＜m＜4答案B8．已知l，m是两条不同的直线，α，β是两个不同的平面，且l∥α，m⊥β，则下列命题中不正确的是（）A．若α∥β，则m⊥αB．若α∥β，则l⊥mC．若l⊥m，则l∥βD．若m∥α，则α⊥β答案C9．若三条直线x﹣2y+2＝0，x＝2，x+ky＝0将平面划分成6个部分，则k可能的取值情况是（）A．只有唯一值B．有两个不同的值C．有三个不同的值D．无穷多个值答案C10．已知某几何体是由正四棱柱割去两部分后得到，其三视图如图所示，则该几何体的表面积和体积为（）A．，B．，5C．，D．，5答案A11．《九章算术》中对一些特殊的几何体有特定的称谓，例如：将底面为直角三角形的直三棱柱称为堑堵，将一堑堵沿其一顶点与相对的棱刨开，得到一个阳马（底面是长方形，且有一条侧棱与底面垂直的四棱锥）和一个鳖臑（四个面均为直角三角形的四面体）．在如图所示的堑堵ABC﹣A1B1C1中，已知AB＝3，BC＝4，AC＝5，若阳马C1﹣ABB1A1的外接球的表面积等于50π，则鳖臑C1﹣ABC的所有棱中，最长的棱的棱长为（）A．5B．C．D．8答案C12．在等腰直角三角形ABC中，AB＝AC＝4，点P是边AB边上异于AB 的一点，光线从点P出发，经BC，CA反射后又回到点P（如图），若光线QR经过△ABC的重心，则AP等于（）A．2B．1C．D．答案D第Ⅰ卷（非选择题）二、填空题（本大题共4小题，每小题5分，共20分,将答案写在答题卡上．．．．．．．．．.）13．已知圆锥的表面积为3π，且它的侧面展开图是一个半圆，则它的母线长为2.答案 2.14．已知直线l1的方程为3x＋4y－7＝0，直线l2的方程为6x＋8y＋1＝0，则直线l1与l2的距离为________.答案3 215．如图，在四面体A－BCD中，已知棱AC的长为2，其余各棱长都为1，则二面角A－CD－B的平面角的余弦值为________.答案3 316．已知直线l1：ax－2y＝2a－4，l2：2x＋a2y＝2a2＋4，当0<a<2时，直线l1，l2与两坐标轴围成一个四边形，当四边形的面积最小时，实数a＝________.答案1 2三、解答题（本大题共6小题，共70分）18．（本小题满分10分）根据所给条件求直线的方程：(1)直线过点(－3，4)，且在两坐标轴上的截距之和为12；(2)直线过点(5，10)，且到原点的距离为5.解 (1)由题设知纵横截距不为0，设直线方程为x a ＋y12－a ＝1，又直线过点(－3，4)，从而－3a ＋412－a ＝1，解得a ＝－4或a ＝9.故所求直线方程为4x －y ＋16＝0或x ＋3y －9＝0.(2)当斜率不存在时，所求直线方程为x －5＝0满足题意；当斜率存在时，设其为k ，则所求直线方程为y －10＝k (x －5)，即kx －y ＋10－5k ＝0. 由点线距离公式，得|10－5k |k 2＋1＝5，解得k ＝34.故所求直线方程为3x －4y ＋25＝0.综上知，所求直线方程为x －5＝0或3x －4y ＋25＝0.22．（本小题满分12分）在一个如图所示的直角梯形ABCD 内挖去一个扇形，E 恰好是梯形的下底边的中点，将所得平面图形绕直线DE 旋转一圈，求所得几何体的表面积和体积．【解答】解：根据题意知，将所得平面图形绕直线DE 旋转一圈后，所得几何体是上部是圆锥，下部是圆柱挖去一个半球体的组合体；则该组合体的表面积为S 组合体＝S 圆锥侧+S 圆柱侧+S 半球＝π×3×3+2π×3×3+×4π×32＝（9+36）π；组合体的体积为V 组合体＝V 圆锥+V 圆柱﹣V 半球＝×π×32×3+π×32×3﹣××π×33＝18π．23．（本小题满分12分）如图，在直四棱柱1111D C B A ABCD 中，底面ABCD 是边长为2的正方形，F E ,分别为线段BD DD ,1的中点.(1)求证：∥EF 平面11D ABC ；(2)四棱柱1111D C B A ABCD -的外接球的表面积为π16，求异面直线EF 与BC 所成的角的大小.证明：（1）连接1BD ，在B DD 1∆中，F E ,分别为线段BD DD ,1的中点，∴EF 为中位线，∴B D EF 1∥，而⊂B D 1面11D ABC ，⊄EF 面11D ABC ，∴∥EF 平面11D ABC .………………6分（2）由（1）知B D EF 1∥，故BC D 1∠即为异面直线EF 与BC 所成的角. ∵四棱柱1111D C B A ABCD -的外接球的表面积为π16，∴四棱柱1111D C B A ABCD -的外接球的半径2=R ，设a AA =1，则244212=++a ，解得22=a ，在直四棱柱1111D C B A ABCD -中，∵⊥BC 平面11C CDD ，⊄1CD 平面11C CDD ， ∴1CD BC ⊥，在C C D RT 11∆中，BC C D CD BC ⊥==11,32,2 ，∴60,3tan 111=∠∴==∠BC D BC C D BC D ，∴异面直线EF 与BC 所成的角为 60.………………12分24．（本小题满分12分）在△ABC 中，BC 边上的高所在直线的方程为x －2y ＋1＝0，∠BAC 的角平分线所在的直线方程为y ＝0.若点B 的坐标为(1,2)，求点A 和点C 的坐标．解：由方程组⎩⎪⎨⎪⎧ x －2y ＋1＝0，y ＝0，得⎩⎪⎨⎪⎧x ＝－1，y ＝0. 所以点A 的坐标为(－1,0)．所以直线AB 的斜率k AB ＝1，又x 轴是∠BAC 的角平分线，所以k AC ＝－1，则AC 边所在直线的方程为y ＝－(x ＋1)． ①又已知BC 边上的高所在直线的方程为x －2y ＋1＝0，故直线BC 的斜率k BC ＝－2，所以BC 边所在的直线方程为y －2＝－2(x －1)． ②由①②得⎩⎪⎨⎪⎧x ＝5，y ＝－6， 即点C 的坐标为(5，－6)．25．（本小题满分12分）如图，在四棱锥P ﹣ABCD 中，P A ⊥平面ABCD ，底面ABCD 为菱形，E 为CD 的中点．（1）求证：BD ⊥PC ；（2）在棱PB 上是否存在点F ，使得CF ∥平面P AE ？若存在，求出PF 的位置，若不存在，说明理由．【解答】解：（1）证明：P A ⊥平面ABCD ，BD Ⅰ平面ABCD ， 所以P A ⊥BD ，又底面ABCD 为菱形，所以AC ⊥BD ，又P A ∩AC ＝A ，所以BD ⊥平面P AC ，所以BD ⊥PC ；（2）当F 为PB 中点时，CF ∥平面P AE理由如下：设AB的中点为M，连接MF，MC，CF，M，F分别是AB，PB的中点，MF∥P A，又AM∥EC，AM＝CE，即四边形AMCE是平行四边形所以MC∥AE，又MF∩MC＝M，P A∩PE＝A，所以平面MFC∥平面P AE，CF⊂平面MFC，所以CF∥平面P AE．22．（本小题满分12分）如图，在正三棱柱ABC﹣A1B1C1（侧棱垂直于底面，且底面是正三角形）中，AC＝CC1＝6，M是棱CC1的中点．（1）求证：平面AB1M⊥平面ABB1A1；（2）求A1M与平面AB1M所成角的正弦值．【解答】（1）证明：连接A1B交AB1于O，连接MO，易得O为A1B，AB1的中点．∵CC1⊥平面ABC，AC⊂平面ABC，∴CC1⊥AC．又M为CC1中点，AC＝CC1＝6，∴．同理可得，∴MO⊥AB1．连接MB，同理可得，∴MO⊥A1B．又AB1∩A1B＝O，AB1，A1B⊂平面ABB1A1，∴MO⊥平面ABB1A1，又MO⊂平面AB1M，∴平面AB1M⊥平面ABB1A1．（2）解：易得A1O⊥AB1，由（1）平面AB1M⊥平面ABB1A，平面AB1M∩平面ABB1A1＝AB1，A1O⊂平面ABB1A1，∴A1O⊥平面AB1M．∴∠A1MO即为A1M与平面AB1M所成的角．在Rt△AA1B1中，，在Rt△A1OM中，．所以A1M与平面AB1M所成角的正弦值为．。
甘肃省兰州市第一中学2020-2021学年高一上学期期中考试化学(理)试题
②CO2 的水溶液能导电，所以 CO2 是电解质 ③氢气不导电，所以氢气是非电解质
④硫酸氢钠电离出的阳离子有氢离子，所以硫酸氢钠是酸
⑤强电解质的导电能力一定比弱电解质的导电能力强
A．①④
B．①③⑤
C．②③④
D．①②③④⑤
7．标准状况下 V L 气体 A 的质量为 2 g，则气体 A 的摩尔质量为
A．11.2/V g/mol
B．在常温常压下，11.2 L O2 含有的分子数为 0.5 NA
C．7.1 g Cl2 所含质子数为 0.2 NA
D．0.1 mol 熔融的 KHSO4 中含有 0.2 NA 个阳离子
13．在强酸性溶液中，下列离子组能大量共存且溶液为无色透明的是
A．Na＋ K＋ OH－ Cl－ C．Mg2＋ Na＋ SO42－ NO3－
子的物质的量之比为 1:1:2:1，则 M 离子可能是
A．Na+
B．Fe3+
C．OH－
D．Cl－
23．相同体积的硫酸钠、硫酸镁、硫酸铁溶液分别加入足量的氯化钡溶液，产生相同质量
的沉淀，则三种溶液的物质的量浓度之比为
A．6:3:2
B．3:3:1
C．2:3:1
D．1:1:1
24．已知反应：3Cl2+8NH3=6NH4Cl+N2，下列分析正确的是（设阿伏伽德罗常数为 NA）
B．44.8/V g/mol
C．22.4V g/mol
D． V/11.2 g/mol
8．下列化学反应，能用离子方程式 CO32－＋2H＋＝CO2↑＋H2O 来表示的是 A．稀硝酸和碳酸钾的反应
B．稀磷酸和碳酸钠溶液的反应
C．石灰石和盐酸的反应
D．稀硫酸和碳酸氢钠溶液的反应
甘肃省兰州市2024年中考英语试题
甘肃省兰州市2024年中考英语试题考前须知：1.全卷共150分，考试时间120分钟。
2.考生必需将姓名、准考证号、考场号、座位号等个人信息填〔涂〕写在答题卡上。
3.考生务必将答案干脆填〔涂〕写在答题卡的相应位置上。
一、听力理解〔分5小节，共25小题；每题1分，总分值25分〕第一节：听句子，选择与所听内容或语境相关的信息。
每个句子读两遍。
4. A. blew B. bought C. brought5. A. wonderful B. dangerous C. fantastic其次节：听句子，选出恰当的情景应答语。
每个句子读两遍。
6. A. Thanks B. It's OK C. Never mind.7. A. Yes, sure B. I'm sorry to hear that. C. Don't be nervous8. A. No, I'm no B. With pleasure C. Sorry, Sir9. A. It's Sunday B. It's June 5th C.It's5:00.10.A. It's windy. B. It's red C It's long第三节：听小对话及问题，选择能答复所提问题的最正确答案。
每段对话读两遍。
11.A. By bus B. On foot C. By bike12. A. She has a cold B. She has a fever C. She has a toothache13. A. Yes, she will B No, she won't. C. Yes, she is14. A In a shop. B. In a library C. In a school15. A. She has curly hair. B. She has long hair. C. She has short hair.第四节：听长对话，依据其内容选出能答复以下问题的最正确答案。
甘肃省兰州市第一中学2018-2019学年高一下学期期中考试英语试题-
兰州一中2018-2019-2 学期期中考试一试题高一英语说明：本试卷分第 I 卷（选择题）和第 II 卷（非选择题）两部分。
满分 120 分，考试时间 100 分钟。
答案写在答题卡上，交卷时只交答题卡。
第一部分：阅读理解（共两节第一节（共 10 小题，每题阅读以下短文，从每题所给的, 满分 30 分）2 分，满分20 分）A、B、 C、 D四个选项中，选出最正确选项。
AAsking for help is a sign of strength rather than weakness. In American culture,the independent individual is seen as their ideal. As the University of Missouri atSt. Louis states on its website under the heading Key American Va lues, “Americans have been trained since very early in their lives to consider themselves as separate individuals who are responsible for their own situations in life and their own destinies. ” The value also makes them think they can do everything themselves, andmakes them feel badly about asking for help when they need it.And when it comes to work situations, when they think about asking for help there,sometimes they fear that a request for help would make them look inept. While thishas always been true for men, many women in the workplace have felt the need to trytwice as hard as their male colleagues and do twice as much to get just as far andto prove their worth. Sometimes when we think about asking for help, our inner voices tell us, “ See, if you admit you can ’ t do this on your own, they ’ ll see you for the imposter( 骗子 ) you really are. ”But the fact is, even though individualism is on the rise, we can ’t do everythingby ourselves and we shouldn ’ t try.Apple founder Steve Jobs once told the Santa Clara Valley Historical Associationabout the power of asking for help, and how he “ never found anybody who didn ’ t want to help me when I asked them for help ” . He said, at the age of 12, he called BillHewlett, co-founder of Hewlett-Packard, on the phone after getting his number fromthe phone book and asking him for spare parts so he could build a frequency counter(计频器 ). And Hewlett agreed and offered young Jobs a summer job assembling frequencycounters.“ If you’ re afraid of failing, you won ’ t get very far, ”Jobs said.1. What is the first paragraph mainly about?A.What key American values are.B.Why Americans refuse to ask for help.C.Asking for help is a sign of strength.D.Americans are responsible for their life.2. Which of the following can replace the underlined word “ inept ” in Paragraph 2?A. impoliteB. identicalC. incompetentD. inappropriate3. What can be learned from this US cultural phenomenon?A. Americans suffer a lot from mutual distrust.B. Americans see weakness as a sign of strength.C. Americans should learn to build up confidence.D. Americans lay emphasis on individual values.4. What can we learn from Jobs ’ words in the last paragraph?A.Don’ t hesitate to ask for assistance.B.Be brave to try whatever you want.C.Failure is the mother of success.D.Learn to cooperate with others.BThroughout my educational years, despite the kind teachers I had met, I never feltinterest in writing until I met her, Mrs Kelley. At first, I believed that writingwould still be my worst class. Gradually, my fondness increased. She taught the lesson in such a lively way and her word choice impressed me. But that was not what madeher my favorite. Unlike other teachers, after instructions, she gave an enormousamount of freedom in what we wrote, allowing us to create our own stories using ourimagination. And that mattered most.There was one really revolutionary event: the historical fiction unit. We were toinvent out own stories using the period we were given. World War II was mine. At that point, I was just looking for a good grade. Rather than creating a mundane ( 平庸的 ) story, I wanted to make a story that I felt was meaningful. As I progressed, Iwas pulled further and further into the reality that I had made. Grammar no longerexisted, as my hands gained acceleration. When I typed the final word, my handstrembled with excitement. Briefly, I read it over and then submitted the draft.In the midst of anxiousness, Mrs Kelley responded. She pointed out some mistakesand gave some suggestions. Sadly, there were no comments of recognition. I fixed theerrors and moved on. But when waiting for the final grade, i erased all the unrealistic thoughts that wandered in my mind.In the next class, surprisingly,after handing back my paper, Mrs Kelley mentioned that my story was very good. I looked at her in confusion. Soon excitement stirredinside me. I found a “ +5”attached to the score. She had given an extra point inOn that day, I felt “ Plot ” ,adding an “ Excellent! ” No other teacher had done this. what itmeans to be a writer. Mrs Kelley introduced me to the beauty of literature andmade writing so enjoyable.5.What made Mrs Kelley so special according to the author?A.He patience and kindness.B.Her confidence in students.C.Her creative teaching style.D.Her professional knowledge.6.How did the author feel when Mrs Kelley responded at first?A.Excited.B. Worried.C. Surprised.D. Disappointed.7. What was the biggest benefit the author got from Mrs Kelley’ s class?A.Recognizing his talent.B.Finding the joy of writing.C.Determine his lifetime career.D.Acquiring practical writing skills.CThe idea that you can use humor, laughter, and play to make you healthier probablyseems too simple to be true. However, it is really true and simple. The sense of humor, laughter and play plays an important part in keeping you healthy.Treat the blues with a sense of humor, which is closely tied to laughter. Laughteris infectious.Have you ever heard a big laugh of a young child and been able to keep yourself from smiling? When laughter is shared between people, it makes them closerto each other and increases their happiness. Smiling is the beginning of laughterand a smile is also just as infectious as laughter is. You can experience somethingby smiling at everyone around you, and you will feel happier just by sharing a smile, even with a stranger.Play is an important part of making sure that we stay healthy. Weare often encouraged to make sure our children play, and are told of the benefits of being out playing.However, what we often forget is that it is just as important for old people to makeplay be part of their life as it’ s for children. Physical play is important for theold and it certainly helps prevent illness. While the studies are still in the earlystages, the studies that have been done have shown that physical play certainly playsa part in preventing cognitive (认知的) falling.8. What can laughter increase according to the author?A.Cognitive abilityB. Good relationshipsC. A sense of humorD. Happiness andtrust9. What does the author think the old should do?A.They should have a good rest.B.They should play like children.C.They should prevent cognitive falling.D.They should take part in physical play.10.Which of the following would be the best title for the text?A.Humor, Laughter and Play for HealthB.Always Keep Our Body HealthyC.Have an Active and Happy LifeD. Let Our Body and Mind Relax第二节（共5小题，每题 2 分，满分10 分）依据短文内容，从短文后的选项中选出能填入空白处的最正确选项。
2020-2021学年第一学期期中考试英语试题
142020-2021学年第一学期期中考试高一年级 英语学科试卷（考试时间120分钟，总分150分）第一部分：听力理解（共三节，30分）第一节（共5小题；每小题1.5分，共7.5分）听下面5段对话。
每段对话后有一道小题，从每题所给的A 、B 、C 三个选项中选出最佳选项。
听完每段对话后，你将有10秒钟的时间来回答有关小题和阅读下一小题。
每段对话你将听一遍。
例：What is the man going to read?A. A newspaper.B. A magazine.C. A book. 答案是A 。
1.What fruit will the woman buy?A. Apples.B. Grapes.C. Bananas.2. When will the play start?A. At 7:00.B.At 7:30.C.At 8:00. 3. What is the man ’s present?A. Some flowers.B. A plant.C. A CD.4. Where will Sarah put her sports bag?5. Who are the speakers?A. Tom’s parents .B. Tom’s friends .C. Tom’s work colleagues .第二节（共10小题；每小题1.5分，共15分）听下面4段对话或独白。
每段对话或独白后有几道小题，从每题所给的A 、B 、C 三个选项中选出最佳选项。
听每段对话或独白前，你将有5秒钟的时间阅读每小题。
听完后，每小题将给出5秒钟的作答时间。
每段对话或独白你将听两遍。
听第6段材料，回答第6至7题。
6. What kind of book does the woman want?A. A book on writing.B. A book on computer.C. A book on travel.7. How will the woman find the book upstairs?A. By title.B. By author.C. By year.听第7段材料，回答第8至9题。
甘肃省兰州市第一中学2020-2021学年高一下学期期中考试数学试题(解析版)
兰州一中2020-2021-2学期高一年级期中考试试题参考答案数学命题：何乃文 审题：陈小豹本试卷分第Ⅰ卷（选择题）和第Ⅱ卷（非选择题）两部分，满分150分，考试时间120分钟. 请将答案填在答题卡上.第Ⅰ卷（选择题 共60分）一、选择题：本大题共12小题，每小题5分，共60分.在每小题给出的四个选项中，只有一项是符合题目要求的. 1．将两个数1,2a b ==交换，使2,1a b ==，下列语句正确的是（ ）.A ．=,=a b b aB ．=,=b a a bC ．=,=,=a c c b b aD ．=,=,=c b b a a c 2．袋中装有3个黑球、2个白球、1个红球，从中任取两个，互斥而不对立的事件是（ ） A ．“至少有一个黑球”和“没有黑球”B ．“至少有一个白球”和“至少有一个红球”C ．“至少有一个白球”和“红球黑球各有一个”D ．“恰有一个白球”和“恰有一个黑球”3．已知实数,x y 满足22430x y x +-+=,则 ）AB ．C ．1D ．24．某公司从代理的A ，B ，C ，D 四种产品中，按分层随机抽样的方法抽取容量为110的样本，已知A ，B ，C ，D 四种产品的数量比是2：3：2：4，则该样本中D 类产品的数量为（ ） A ．55件B ．40件C ．33件D ．22件5．某公司在2016－2020年的收入与支出如下表所示：根据表中数据可得回归方程为ˆ0.8a yx =+，依此估计2021年该公司收入为8亿元时支出为（ ） A ．4．2亿元B ．4．4亿元C ．5．2亿元D ．5．4亿元6．下列各数中最大的数是（ ） A ．()985B ．()6210C ．()41000D ．()21111117．根据下面茎叶图提供了甲、乙两组数据，可以求出甲、乙的中位数分别为（ ）A ．24和29B ．26和29C ．26和32D ．31和298．我校高中数学兴趣小组在国际数学日（每年3月14日）开展相关活动，其中一个活动是用随机模拟实验的方法获得π的近似值.现通过计算器随机获得500个点的坐标（x ，y ）()01,01x y <<<<，其中有399个点的坐标满足221x y +≤，据此可估计π的值约为（ ） A ．3.19B ．3.16C ．3.14D ．3.119.一组数据中的每一个数据都乘以2，再减去80，得到一组新数据，若求得的新数据的平均数是1.2，方差是4.4，则原来数据的平均数和方差分别是（ ） A ．40.6, 1.1B ．48.8, 4.2C ．81.2, 44.4D ．78.8, 75.610．已知圆O ：x 2+y 2=4上到直线l ：x +y =a 的距离等于1的点至少有2个，则a 的取值范围为（ ）A ．[-B ．(,)-∞-⋃+∞C ．(-D ．(-11．从标有1、2、3、…、9的9张纸片中任取2张，那么这2张纸片数字之积为偶数的概率是（ ） A ．1318B ．1118C ．718D ．1212．曲线1y =与直线y ＝k (x －2)＋4有两个交点，则实数k 的取值范围是( ) A ．5012⎛⎫ ⎪⎝⎭， B ．5+12⎛⎫∞ ⎪⎝⎭， C ．1334⎛⎤ ⎥⎝⎦， D ．53124⎛⎤⎥⎝⎦，第Ⅱ卷（非选择题 共90分）二、填空题：本大题共4小题，每小题5分，共20分.13．一个容量为n 的样本分成若干个小组，已知某组的频数和频率分别是48和0.3，则n ＝________. 【答案】16014．下图是一个算法的流程图，则输出的e 值是_______【答案】515．由点(1,3)P -向圆222220x y x y ++--=作的切线方程为___________． 【答案】1x =或3490x y ++=16．在平面直角坐标系xOy 中，设点A (1,0)，B (3,0),C (0,a )，D (0,a +2)，若存在点P ，使得,PA PC PD ==，则实数a 的取值范围是 ．（注：PA 表示点P 与点A 之间的距离）【答案】1⎡⎤-⎣⎦三、解答题：本大题共6小题，共70分.解答应写出文字说明、证明过程或演算步骤. 17．（本小题10分）同学小王通过做游戏的方式来确定周末活动，他随机地往单位圆内投掷一点，若此点到圆心的距离大于12，则周末去看电影；若此点到圆心的距离小于14，则去打篮球；否则，在家看书. 求小王周末不在家看书的概率.解析：∵去看电影的概率P 1＝π×12－π×⎝⎛⎭⎫122π×12＝34，……………3分 去打篮球的概率P 2＝π×⎝⎛⎭⎫142π×12＝116， ……………6分 ∴不在家看书的概率为P ＝34＋116＝1316.故小王周末不在家看书的概率：1316 ……………10分18．（本小题12分）已知直线:30l kx y k --=与圆22:8290M x y x y +--+=.（Ⅰ）求证：直线l 必过定点，并求该定点； （Ⅱ）当圆M 截直线l 所得弦长最小时，求k 的值.【解析】（Ⅰ）证明：直线l 方程可化为：()30k x y --=， 对上式中，当3,0x y ==时，不论k 取何值，等式恒成立，所以直线l 恒过点()3,0A .……………4分（Ⅱ）将圆M 的方程化为：()()22418x y -+-=，圆心为()4,1M ，半径r =由（Ⅰ）知，直线l 恒过点()3,0A ，当圆M 截直线l 所得弦长最小时，则MA 垂直于直线l ， ……………8分 即1MA k k ⋅=-.()4,1M ，()3,0A ，10143MA k -∴==-，1k ∴=- 所以当圆M 截直线l 所得弦长最小时，k 的值为1- .……………12分 19．（本小题12分）一只口袋装有形状大小都相同的6只小球，其中2只白球，2只红球，2只黄球，从中随机摸出2只球，试求：（1）2只球都是红球的概率 （2）2只球同色的概率（3）“恰有一只是白球”是“2只球都是白球”的概率的几倍？【解析】记两只白球分别为1a ，2a ；两只红球分别为1b ，2b ；两只黄球分别为1c ，2c 从中随机取2只的所有结果为()12,a a ，()11,a b ，()12,a b ，()11,a c ，()12,a c ，()21,a b ，()22,a b ，()21,a c ，()22,a c ，()12,b b ，()11,b c ，()12,b c ，()21,b c ， ()22,b c ，()12,c c 共15种（1）2只球都是红球为()12,b b 共1种，概率115P =……………4分 （2）2只球同色的有：()12,a a ，()12,b b ，()12,c c ，共3种，概率31155P ==……………8分 （3）恰有一只是白球的有：()11,a b ，()12,a b ，()11,a c ，()12,a c ，()21,a b ，()22,a b ，()21,a c ，()22,a c ，共8种，概率815P =; 2只球都是白球的有：()12,a a ，概率115P =……………12分 所以：“恰有一只是白球”是“2只球都是白球”的概率的8倍 20．（本小题12分）某企业为了增加某种产品的生产能力，决定改造原有生产线，需一次性投资300万元，第一年的年生产能力为300吨，随后以每年40吨的速度逐年递减，根据市场调查与预测，该产品的年销售量的频率分布直方图如图所示，该设备的使用年限为3年，该产品的销售利润为1万元/吨．(Ⅰ)根据年销售量的频率分布直方图，估算年销量的平均数(x 同一组中的数据用该组区间的中点值作代表)；(Ⅱ)将年销售量落入各组的频率视为概率，各组的年销售量用该组区间的中点值作年销量的估计值，并假设每年的销售量相互独立．()i 根据频率分布直方图估计年销售利润不低于180万的概率和不低于220万的概率； ()ii 试预测该企业3年的总净利润.(3年的总净利润3=年销售利润一投资费用)【解析】(Ⅰ)年销量的平均数0.11200.21600.32000.252400.15280206(x =⨯+⨯+⨯+⨯+⨯=吨)． (Ⅱ())i 该产品的销售利润为1万元/吨，由频率分布直方图得只有当年平均销量不低于220吨时，年销售利润才不低于220万，∴年销售利润不低于220万的概率0.30.250.150.7P =++=．()ii 由(Ⅰ)可知第一年的利润为：2061206(⨯=万元)，第二年的利润为：()0.11200.21600.32000.42401200(⨯+⨯+⨯+⨯⨯=万元)， 第三年的利润为：()0.11200.21600.72001184(⨯+⨯+⨯⨯=万元)，∴预测该企业3年的总净利润为：206200184300290(++-=万元)．21．（本小题12分）我们定义一个圆的圆心到一条直线的距离与该圆的半径之比，叫做直线关于圆的距离比，记作λ.已知圆1C :221x y +=，直线:340l x y m -+=.（Ⅰ）若直线l 关于圆1C 的距离比2λ=，求实数m 的值；（Ⅱ）当0m =时，若圆2C 与y 轴相切于点()0,3A ，且直线l 关于圆2C 的距离比65λ=，试判断圆1C 与圆2C 的位置关系，并说明理由.【解析】（Ⅰ）由直线关于圆的距离的比的定义得：25m =，所以10m =±（Ⅱ）当0m =时，直线:340l x y -=，圆2C 与y 轴相切点于(0,3)A所以可设2C ：222()(3)x a y a -+-=3126545a a a -=⇒=-或43①当4a =-时，2C ：22(4)(3)16x y ++-=两圆的圆心距5d =，两圆半径之和为145+=，因此两圆外切 ②当43a =时，2C ：22416()(3)39x y -+-=两圆的圆心距48433d =-+=大于两圆的半径之和47133+=，因此两圆外离 22．（本小题12分）已知某地区某种昆虫产卵数和温度有关.现收集了一只该品种昆虫的产卵数y （个）和温度x （C ）的7组观测数据，其散点图如所示：根据散点图，结合函数知识，可以发现产卵数y 和温度x 可用方程bx ay e+=来拟合，令ln z y =，结合样本数据可知z 与温度x 可用线性回归方程来拟合．根据收集到的数据，计算得到如下值：表中ln i i z y =，7117i i z z ==∑．（Ⅰ）求z 和温度x 的回归方程（回归系数结果精确到0.001）；（Ⅱ）求产卵数y 关于温度x 的回归方程；若该地区一段时间内的气温在26~36C C 之间（包括26C 与36C ），估计该品种一只昆虫的产卵数的范围.（参考数据： 3.28227e ≈， 3.79244e ≈，5.832341e ≈， 6.087440e ≈， 6.342568e ≈．） 附：对于一组数据()11,v ω，()22,v ω，…，(),n n v ω，其回归直线ˆˆˆvαβω=+的斜率和截距的最小二乘估计分别为()()()121ˆniii nii v v ωωβωω==--=-∑∑．【解析】（Ⅰ）因为z 与温度x 可以用线性回归方程来拟合，设ˆˆˆz abx =+． ()()()7172146.418ˆ0.255182iii ii x x zz bx x ==--===-∑∑， 所以ˆˆ 3.5370.25527 3.348a z bx=-=-⨯=-， 故z 关于x 的线性回归方程为ˆ0.255 3.348zx =-． （Ⅱ）由（Ⅰ）可得ln 0.255 3.348y x =-， 于是产卵数y 关于温度x 的回归方程为0.255 3.348x y e -=,当26x =时，0.25526 3.3483.28227y ee ⨯-==≈； 当36x =时，0.25536 3.3485.832341y e e ⨯-==≈；因为函数0.255 3.348x y e-=为增函数，故气温在26~36C C 之间时，一只该品种昆虫的产卵数的估计范围是[]27.341内的正整数．。
甘肃省兰州市城关区兰州第一中学2024-2025学年高一上学期10月月考英语试题(含答案)
兰州一中2024-2025-1学期10月月考试题高一英语说明：本试卷分第Ⅰ卷（选择题）和第Ⅱ卷（非选择题）两部分。
满分150分，考试时间120分钟。
答案写在答题卡上，交卷时只交答题卡。
第Ⅰ卷选择题（共95分）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，从每题中所给的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。
听下面5段对话，选出最佳选项。
1．Where are the two speakersA．At home. B．At a shop. C．At school.2．How much does the man earn for half a yearA．$750. B．$960. C．$480.3．When will the man probably see Professor WilkinsA．On Tuesday. B．On Thursday. C．On Wednesday.4．What is the relationship between the man and the woman A．A hotel manager and a tourist. B．A salesman and a customer. C．A professor and a student.5．What did the woman buy her brother for ChristmasA．She bought him a watch.B．She has not bought him a present yet.C．She bought him a case for his coin collection.第二节（共15小题；每小题1.5分，满分22.5分）听下面5段对话或独白。
2020-2021学年高一上学期期中考试英语试卷(答案不全)
高一学年英语考试试题第一卷第一部分：阅读理解（共15小题，每小题2分，满分30分）阅读下列短文，从每小题所给的四个选项（A、B、C）中，选出最佳选项.AHidden London: the city’s lesser known delights Dulwich Picture GalleryAs much an excuse to enjoy the village charms of Dulwich Village as to admire some delicate European masterworks, this gallery is a southeast London charmer, which was founded in 1811. Join a free guided tour to the permanent collection(3 pm Saturday and Sunday),catch the latest temporary exhibition and admire the lovely garden(open 1:30 pm to 3:30 pm Tuesdays).Where: Gallery RD SE21 7ADTrain: West DulwichTemple ChurchFeaturing in the novel The Da Vinci Code and dating back to the late 12th century, this is one of London’s oldest and holiest medieval treasures. Built by the Knights Templar, the church is divided into the Round---which contains the statues of crusading knights, who tried to recover the Holy Land from the Muslims in the Middle Ages and the Chancel, where the priests and singers performing in church services sit.Where: Temple EC4Y 7DEUnderground: Temple or BlackfriarsChelsea Physic GardenEndlessly satisfying the green-fingered, the plain curious or those eager to discover botanical interests in central London, this delightful walled garden was founded by the Apothecaries’Society in the 17th century and is one of the oldest botanical gardens in London.Where: 66 Royal Hospital Rd SW3 4HSUnderground: Sloane SquareEstorick Collection of Modern Italian ArtBuilt between 1953 and 1958, the Estorick is Britain’s only gallery devoted to Italian art. It draws together a fascinating collection of Futurist masterpieces from Umberto Boccioni, Giacomo Balla, Carlo Carra and others, who emphasized the importance of modern things, especially technology and machines.Where: 39a Canonbury Sq N1 2ANUnderground: Highbury & Islington1.When can you follow a free guide to visit Dulwich Picture Gallery?A. 3 pm on SundayB. 3:30 pm on TuesdayC. 1:30 pm on TuesdayD. 1:30 pm on Saturday2.Which of the following has the longest history?A. Dulwich Picture GardenB. Temple ChurchC. Estorick Collection of Modern Italian ArtD. Chelsea Physics Garden3.Where should you go if you have an interest in plants?A. Gallery Rd SE21 7ADB. Temple EC4Y 7DEC. 66 Royal Hospital Rd SW3 4HSD. 39a Canonbury Sq N1 2ANBPeople read books less often in these days. With the invention of radio, television and most recently, the Internet and computer games, it seems that reading books is no longer a popular activity. However, I believe that books are an important part of our lives.Books offer an outstanding wealth of learning and at a cheaper price than taking a course. Books can make people cleverer, because heavy readers have greater knowledge of how things work and who or what people were.Everything in today’s society requires reading. Imagine trying to do something as simple as reading the directions on a medicine bottle without good reading skills. Someone could not understand them and become very sick or even die.Even something as simple as walking or driving through the city could become very dangerous without enough reading. Sometimes, you must be able to understand what is written and explain the meaning of them.Some people say that reading is a waste of time and we can do better things with our time. Even if we don't read books, we still read every day, and reading books can strengthen (加强) our abilities. Reading is one of the greatest things we can do in our spare time.With a book, you can travel anywhere you want, do anything you want, and talk to anyone you want. Reading is very important in our lives, no matter your age. So I think people should read books.4.What activity is less popular these days than before?A. Reading a book.B. Listening to the radio.C. Watching TV.D. Surfing the Internet.5..We can learn from the second paragraph that _______.A. reading can improve your memoryB. reading can make you interesting and attractiveC. reading can make you smarterD. reading can reduce stress6.The best title of the passage can be _________.A. People Should Enjoy ThemselvesB. How We Improve Reading SkillsC. Why People Should Read BooksD. What We Love Doing in Spare TimeCOne of my best friends went abroad to enjoy her holidays, so the job of looking after her dog Missy has been given to me. A few months ago, Missy came to my friend’s house. She looked terrible. She has been abused for a long time.When we first visited my friend and Missy, my friend had to gently pull her over on a lead (牵绳) to get her to come to us. She wanted to come but afraid to do so-the poor, beautiful thing. Clearly Missy came to the right home. My friend has given birth to a baby of his own and shows the love of a mother. This is just what Missy needs. Thanks to the love of my friend, she has changed into a new dog step by step. Sad ly, she is still afraid of strange humans. I hate to imagine what the dog must have gone through.Now, Missy trusts me completely, so I can touch her berry(肚皮).While standing, she will jump up so gently to be closer to me, putting her paws(爪子)on my legs as she looks at me with those beautiful eyes.Missy is really brave. She has the courage to try again, to open her hearts, and to know that not everyone is the same kind of people as before. Keep it in mind that tomorrow is another day.7.. The writer felt _________ when she first saw Missy.A. proud and relaxedB. sorry and caringC. afraid and angryD. sad and disappointed8. The writer thought it was good for Missy to stay with her friend __________.A. because her friend could offer the love of a mother to MissyB. because her friend had more free time to take care of MissyC. because her friend stayed long at home and felt quite lonelyD. because her friend helped Missy to accept different people9. The third paragraph mainly tells us _________.A. the writer has learned the skills to communicate with MissyB. the writer has made Missy understand and follow her ordersC. the writer has succeeded in winning the trust of MissyD. t h e writer has come to realize that Missy is a beautiful dog10. The underlined word " abused " in the first paragraph means．A．保护B．喂养C．虐待D．挨饿七选五What is the difference between happy people and unhappy people? 11 Read the following list of things that HAPPY people do differently from UNHAPPY people and you will know.Well, I can tell you for sure that those people who are really happy, FEAR less and LOVE a lot more. They see each moment, each challenge, each person as an opportunity to discover（发现）more about themselves and the world around them 12Happy people understand that you can’t really change a situation by resisting（反抗）it. But they can feel better by understanding that there might be a reason for its existence（存在）. 13 But rather, they ask themselves questions like: What can I learn from this? How can I make this better? They always seem to be pleasant and hopeful no matter what happens to them.They do the things they do because of the meaning it brings into their lives and because they get a sense of purpose by doing so.14 They care more about living a life full of meaning rather than, what in our modern society we would call, living a successful life. The fact here is that most of thetime they get both, success and meaning, just because they choose to focus on doing the things they love the most.15 They make sure that their actions bring meaning and happiness in the lives of many. They look for ways to give and to share the best of themselves with the world and to make other people happy.A. They have an ideal（理想的）living and a balanced life.B. What are the things that these people do differently?C. They are kind to themselves and others and they understand the power of love.D. The things happy people do are not for themselves, but for the good of others.E. They are ready to embrace(拥抱) whatever lies in front of them.F. They understand that “Doing what you love is the most impor tant for living a full life”.G. When something unpleasant（不愉快的）happens to them, they don’t try to fight （打仗，对抗）it, knowing that this will make the situation even worse.第二部分英语知识运用（共两节，满分45分）第一节：完形填空（共15小题；每小题2分，满分30分）How military(军事的) training makes us confidentThe sun was shining brightly over our heads and sweat（汗水）was pouring off our backs and faces. We stood still without___16____ any noise, all hot and tired. But everyone kept standing as as trees.It was___17______ most high schools give to new Senior One students –military training. We 18 four days in a closed environment. Although we couldn’t go home at night and the training was 19 and difficult, our humorous young drillmaster (教官) with a funny accent was a real____20_____ of our days. We laughed his jokes, sat in rows singing different songs and __21____ him telling true stories about his life. He gave us the feeling that _22___ and sweat were not the only things that military training 23 .After this journey, We were more 24 than we had imagined and we were much braver than we had 25 .Girls who looked pale rested for a little while, then came back to the team. Boys who were being punished (惩罚)26 to the playground at once and began to run. Sweat flowed down our faces when we thought about how to shout 27 than other classes.Military training taught us perseverance (坚持不懈) and determination. On the last day of our training, the confidence could be 28 in our faces. We shouted so loud that our 29 could be heard across the heavens. With eyes like burning torches(火炬), we walked into the future. Now the sun is 30 at all of us.16.A .crying B. making C. sending D. telling17.A. nothing B. anything C. something D. everything18.A. wasted B. spent C. kept D. took19.A. strict B. curious C. interesting D. normal20.A. success B. pleasure C. worry D. wonder21.A. referred to B. devoted to C. turned to D. listened to22.A. sunlight B. wealth C. desire D. health23.A. received B. helped C. offered D. happened24.A. concerned B. determined C. interested D. surprised25.A. expected B. expressed C. disliked D. rescued26.A. escaped B. moved C. rode D. rushed27.A. larger B. stronger C. louder D. lower18.A. seen B. heard C. smelt D. touched29.A. thoughts B. feelings C. opinions D. voices30.A. traveling B. falling C. setting D. smiling三．语法填空。
甘肃省兰州市2020年中考英语试题
甘肃省兰州市2020年中考英语试题学校:___________姓名：___________班级：___________考号：___________一、单项选择1．My grandfather usually takes ________ walk after breakfast with his pet dog.A．a B．an C．the D．/2．We are looking forward ________ the summer holiday.A．in B．for C．at D．to3．________ love to eat popcorn while watching their favorite TV programs.A．She B．They C．You D．I4．We should learn to decide what is right and what is ________ facing rumors （谣言）. A．easy B．difficult C．wrong D．high5．________ his parents work as doctors in the First Hospital of Lanzhou.A．Both B．All C．Either D．Neither 6．Be quiet, please. They _________ a meeting now.A．have B．had C．are having D．were having 7．My advice on learning English ________.A．accepted B．is accepted C．accepts D．are accepted 8．I will never forget the young man ________ saved my mom in the fire.A．when B．which C．where D．who 9．—Mom, what are you cooking in the kitchen? It ________ delicious.—I’m preparing a hot pot dinner.A．tastes B．smells C．sounds D．feels10．I don’t like his speech because I can’t find ________ in it.A．something boring B．something new C．anything boring D．anything new 11．—How long ________ you ________ chemistry so far?—For almost one year.A．are; studying B．do; study C．have; studied D．will; study 12．It is not always necessary to ________ new words in the dictionary while reading. A．look up B．look at C．look for D．look around 13．________ it was raining heavily, the policemen were still working on the roads.A．If B．Because C．Although D．Until14．—Can you tell me ________ this term?—On September 21st.A．when will the school trip be B．when the school trip will beC．where will the school trip be D．where the school trip will be 15．Which of the following underlined parts is different in pronunciation from the others? A．cow B．grow C．blow D．know二、完形填空Happiness comes from what you believe! Here goes a story of Jack, a friend of mine. He is a very _____16_____ man. One day I asked him, “How do you keep happy every day?” He _____17_____, “Every morning I wake up and say to _____18_____, ‘Jack, you have two choices today. You can choose to be happy _____19_____ you can choose to be unhappy.’ I chose to be happy.”Several years later, I _____20_____ that he fell off a building, and I went to the hospital to see him. I asked him what he thought when the _____21_____ happened. “The first thing that appeared in my _____22_____ was my little daughter, “Jack answered.” Then, I remembered that I had two choices: I could choose to live or I could choose to _____23_____.I chose to live.” Doctors and nurses were all around him. The operation went well with him.Jack is living _____24_____ now, thanks to the nurses, the doctors and also his belief. I have learned from him that every day we have a (an) ______25______ about how we live. Belief, after all, is everything!16．A．tall B．happy C．heavy D．handsome 17．A．answered B．told C．decided D．shouted 18．A．himself B．yourself C．herself D．myself 19．A．but B．and C．or D．so 20．A．am told B．was told C．am telling D．was telling 21．A．accident B．fire C．earthquake D．sandstorm 22．A．eyes B．hands C．mind D．ears 23．A．run B．lie C．stay D．die 24．A．unexpectedly B．unluckily C．happily D．sadly 25．A．choice B．idea C．method D．way三、阅读判断Thousands of high school students enjoy reading. Today, we have selected 4 of the most popular books loved by young readers. If you are interested in them, you can get them from the school library.The Little Prince by Antoine deSaint-ExuperyPublished （出版）in 2016●A little prince from a small planet is looking for the secret of what is important in life. It has been translated into over 180 languages.One and Only Bob by Katherine Applegate Published in 2020●Bob sets out on a dangerous journey in search of his long-lost sister with the help of his two best friends.The Diary of Anne Frank by Anne Frank Published in 1947●The Diary of Anne Frank is a record of her understanding of World War II The Kite Runner by Khaled Hosseini Published in 2003● The book is about two boys’ story. Since it came out, nearly 7 million readers have read it.阅读以上信息.根据其内容判断下列各小题的正误。
甘肃省兰州市第一中学2020_2021学年高一英语下学期4月月考试题
甘肃省兰州市第一中学2020-2021学年高一英语下学期4月月考试题第一部分单项选择（共5小题；每小题1分，满分5分）1. —How’s your tour around the North Lake? Is it beautiful?—It ________ be, but it is now heavily polluted.A. willB. wouldC. shouldD. must2. The boss has given everyone a special holiday, so we ______ go to work tomorrow.A．can’t B．mustn’t C．shouldn’t D．needn’t3. —Guess what! I have got A for my term paper.—Great! You ______ read widely and put a lot of work into it.A. mustB. shouldC. must haveD. should have4. The biggest problem for most plants, which ________ just get up and run away when threatened, is that animals like to eat them.A. shan’tB. can’tC. needn’tD. mustn’t5. As a result of the serious flood, two-thirds of the buildings in the area .A. need repairingB. needs to repairC. needs repairingD. need to repair第二部分阅读理解（共两节，满分30分）第一节（共10小题；每小题2分，满分20分）阅读下列短文，从每题所给的A、B、C和D四个选项中，选出最佳选项。
甘肃省2020-2021学年高一上学期期末英语试题分类汇编：七选五专题(部分答案)
七选五专题甘肃省兰州市第一中学2020-2021学年高一英语上学期期末考试试题第二节（共5小题；每小题2分，共10分）根据短文内容，从短文后的七个选项中选出能填入空白处的最佳选项。
选项中有两项为多余选项。
Four habits to help you succeedWe all want to succeed, whether it is in losing weight or learning the guitar. For those who have tried and failed, success seems difficult to understand. 11●Know your values.Finding your values is in line with creating motivation. 12 Pick a handful of things and write them down. Remind yourself of your values every day and reflect on whether you are honoring those values through your work.●Pick a goal and focus on it.Choose one goal to start something large enough that will give you a sense of achievement, while adjusting well to your values. Focus is key here. 13 If you perform many tasks at a time, you might never finish your projects because they will take far too long.●Set a time for success.Set a date for success. Know when you hope to realize your goal. 14 By setting a time limit, you are making the process realistic.●15Failure can’t be avoided when you take risks. By its very definition, the desire to succeed means you are risking failure. Many people tend to give up far too early. Don’ t fall into this trap! Remember your mindset earlier. Know it will happen. A failure is only you working out the details, and learning what works and what doesn’t. Use failure. Treat it as a good thing, and go on.A. Make the right decision.B. Don’t give up because of failure.C. Sit and reflect on what you value most.D. Keep it realistic, while not giving you too much time.E. Push yourself to be courageous, and take the next step.F. I have made a list of four habits to help you set goals and realize them.G. The more focused you are on one goal, the higher chance you have of success.甘肃省甘南州合作一中2020-2021学年第一学期期末考试高一英语试卷第二节(共5小题；每小题2分，满分10分)根据短文内容，从短文后的选项中选出能填入空白处的最佳选项。
甘肃省兰州市第一中学2021届高三上学期期中考试 数学(理)
兰州一中2020-2021-1学期期中考试试题高三数学（理科）本试卷分第Ⅰ卷（选择题）和第Ⅱ卷（非选择题）两部分，满分150分，考试时间120分钟. 请将答案填在答题卡上.第Ⅰ卷（选择题共60分）注意事项：1. 答题前，考生务必用黑色碳素笔将自己的姓名、准考证号、考场号、座位号在答题卡上填写清楚，并请认真核准条形码上的准考证号、姓名、考场号、座位号及科目，在规定的位置贴好条形码. 2．每小题选出答案后，用2B 铅笔把答题卡上对应题目标号涂黑，如需改动，用橡皮擦干净后，再选择其它答案标号，在试卷上答案无效.一、选择题：本大题共12小题，每小题5分，共60分.在每小题给出的四个选项中，只有一项是符合题目要求的. 1.设集合A ＝{(x ，y )|x ＋y ＝1}，B ＝{(x ，y )|x －y ＝3}，则满足M ⊆(A ∩B )的集合M 的个数是( ) A.0B.1C.2D.32.已知z ＝11＋i ＋i (i 为虚数单位)，则|z |＝( )A.12B.22C.32D.2 3.某中学有高中生960人，初中生480人，为了了解学生的身体状况，采用分层抽样的方法，从该校学生中抽取容量为n 的样本，其中高中生有24人，那么n 等于( ) A.12B.18C.24D.364.等比数列{a n }中，a 4＝2，a 5＝5，则数列{lg a n }的前8项和等于( ) A.6B.5C.4D.35.已知向量a ,b 满足|a |＝1，|b |＝2，a －b ＝(3，2)，则|2a －b |等于( ) A.2 2B.17C.15D.2 56. ( )A.a b c <<B.b c a <<C.c a b <<D.c b a <<7.已知命题p ：x 2＋2x －3＞0；命题q ：x ＞a ，且q ⌝的充分不必要条件是p ⌝，则a 的取值范围是( ) A.[1，＋∞)B.(－∞，1]C.[－1，＋∞)D.(－∞，－3]8.函数y ＝2|x |·sin 2x 的图象可能是( )212(),52xx f x x x ⎧-≤⎪=⎨-+>⎪⎩9.函数若互不相等的实数a ，b ，c 满足f (a )＝f (b )＝f (c ),则2a ＋2b ＋2c 的取值范围是( ) A.(16，32)B.(18，34)C.(17，35)D.(6，7)10.函数f (x )的定义域为D ，若满足：①f (x )在D 内是单调函数；②存在[a ，b ]⊆D ，使f (x )在 [a ，b ]上的值域为⎣⎡⎦⎤a 2，b 2，那么就称y ＝f (x )为“半保值函数”，若函数f (x )＝log a (a x ＋t 2)(a >0，且a ≠1)是“半保值函数”，则t 的取值范围为( ) A.⎝⎛⎭⎫0，14 B.⎝⎛⎭⎫－12，0∪⎝⎛⎭⎫0，12 C.⎝⎛⎭⎫0，12 D.⎝⎛⎭⎫－12，12 11.已知函数f (x )＝kx ＋1，g (x )＝e x ＋1(－1≤x ≤1)，若f (x )与g (x )的图象上分别存在点M ，N ，使得点M ，N 关于直线y ＝1对称，则实数k 的取值范围是( ) A.⎣⎡⎭⎫1e ，＋∞ B.⎣⎡⎦⎤－e ，1e C.[－e ，＋∞) D.(]－∞，－e ∪⎣⎡⎭⎫1e ，＋∞ 12.已知f (x )在R 上是奇函数，且f ′(x )为f (x )的导函数，对任意x ∈R ，均有()'()ln 2f x f x >成立，若f (－2)＝2，则不等式f (x )>－2x－1的解集为( )A.(－2，＋∞)B.(2，＋∞)C.(－∞，2)D.(－∞，－2)第Ⅱ卷（非选择题 共90分）注意事项：本卷共10小题，用黑色碳素笔将答案答在答题卡上.答在试卷上的答案无效.二、填空题：本大题共4小题，每小题5分，共20分. ()2log 013.30x x x f x x >⎧=⎨≤⎩已知函数，则18f f ⎡⎤⎛⎫=⎪⎢⎥⎝⎭⎣⎦ ________．()22214.4=x x dx --+⎰定积分________.15.若,,a b c 均为正数, 且346a b c ==, 则2c ca b+的值是_______________． ()()1123116.21x a x a x f x R a x -⎧-+<=⎨≥⎩已知函数的值域为，则实数的取值范围是______. 三、解答题：本大题共6小题，共70分.解答应写出文字说明、证明过程或演算步骤. 17. (本题满分12分)已知a ，b ，c 分别是△ABC 内角A ，B ，C 的对边，且满足 (a ＋b ＋c )(sin B ＋sin C －sin A )＝b sin C . (1)求角A 的大小；(2)设a ＝3，S 为△ABC 的面积，求S ＋3cos B cos C 的最大值.18.(本题满分12分)如图，直四棱柱ABCD －A 1B 1C 1D 1的底面是菱形， AA 1＝4，AB ＝2，∠BAD ＝60°，E ，M ，N 分别是BC ，BB 1，A 1D 的中点. (1)证明：MN ∥平面C 1DE ； (2)求二面角A －MA 1－N 的正弦值.序号 分组（分数段） 频数（人数） 频率 1 [0, 60) a 0.1 2[60, 75)15b19.(本题满分12分)为迎接我校建校120周年，某班开展了一次“校史知识”竞赛活动，竞赛分初赛和决赛两个阶段进行，在初赛后，把成绩（满分为100分，成绩均为整数）进行统计，制成如右图的频率分布表： （1）求,,,a b c d 的值；（2）决赛规则如下：为每位参加决赛的选手准备四道题目，选手对其依次作答，答对两道就终止答题，并获得一等奖，若题目答完仍然只答对一道，则获得二等奖.某同学进入决赛，每道题答对的概率P 的值恰好与频率分布表中不少于90分的频率的值相同.设该同学决赛中答题个数为X ，求X 的分布列以及X 的数学期望.20.(本题满分12分)已知P 点坐标为(0，－2)，点A ，B 分别为椭圆E ：x 2a 2＋y 2b 2＝1(a >b >0)的左、右顶点，直线BP 交E 于点Q ，△ABP 是等腰直角三角形，且PQ →＝32QB →.(1)求椭圆E 的方程；(2)设过点P 的动直线l 与E 相交于M ，N 两点，当坐标原点O 位于以MN 为直径的圆外时，求直线l 斜率的取值范围.21.(本题满分12分)已知函数f (x )＝－a ln x ＋x ＋1－ax .(1)讨论函数f (x )的单调性；(2)设g (x )＝e x ＋mx 2－2e 2－3，当a ＝e 2＋1时，对任意x 1∈[1，＋∞)，存在x 2∈[1，＋∞)，使g (x 2)≤ f (x 1)，求实数m 的取值范围.选考题:（请考生在第22、23题中任选一题做答，如果多做，则按所做的第一题记分.答时用2B 铅笔在答题卡上把所选题目的题号涂黑.请在答题卷上注明题号.）22.(本题满分10分)平面直角坐标系xOy 中，曲线C 的参数方程为⎩⎪⎨⎪⎧x ＝3cos θ，y ＝3sin θ(θ为参数).以坐标原点为极点，x 轴正半轴为极轴建立极坐标系，直线l 的极坐标方程为ρ(cos θ－sin θ)＝1.(1)求C 的普通方程和l 的直角坐标方程；(2)已知直线l 与y 轴交于点M ，且与曲线C 交于A ，B 两点，求⎪⎪⎪⎪1|MA |－1|MB |的值.23.(本题满分10分)已知函数()|21||23|f x x x =++-. (1)求不等式6)(≤x f 的解集；(2)若关于x 的不等式|1|)(-<a x f 的解集非空，求实数a 的取值范围.兰州一中2020-2021学年度高三第一学期期中数学试卷（理科）本试卷分第Ⅰ卷（选择题）和第Ⅱ卷（非选择题）两部分，满分150分， 考试时间120分钟. 请将答案填在答题卡上.第Ⅰ卷（选择题共60分）注意事项：1. 答题前，考生务必用黑色碳素笔将自己的姓名、准考证号、考场号、座位号在答题卡上填写清楚，并请认真核准条形码上的准考证号、姓名、考场号、座位号及科目，在规定的位置贴好条形码. 2．每小题选出答案后，用2B 铅笔把答题卡上对应题目标号涂黑，如需改动，用橡皮擦干净后，再选择其它答案标号，在试卷上答案无效.一、选择题：本大题共12小题，每小题5分，共60分.在每小题给出的四个选项中，只有一项是符合题目要求的. 1.设集合A ＝{(x ，y )|x ＋y ＝1}，B ＝{(x ，y )|x －y ＝3}，则满足M ⊆(A ∩B )的集合M 的个数是( C ) A.0B.1C.2D.32.已知z ＝11＋i ＋i(i 为虚数单位)，则|z |＝( B )A.12B.22C.32D.23.某中学有高中生960人，初中生480人，为了了解学生的身体状况，采用分层抽样的方法，从该校学生中抽取容量为n 的样本，其中高中生有24人，那么n 等于( D ) A.12B.18C.24D.364.等比数列{a n }中，a 4＝2，a 5＝5，则数列{lg a n }的前8项和等于( C ) A.6B.5C.4D.35.已知向量a ,b 满足|a |＝1，|b |＝2，a －b ＝(3，2)，则|2a －b |等于( A ) A.2 2B.17C.15D.25.6.6.设123log 2,ln 2,5a b c -===，则 ( C )A.a b c <<B.b c a <<C.c a b <<D.c b a <<7.已知命题p ：x 2＋2x －3＞0；命题q ：x ＞a ，且q ⌝的一个充分不必要条件是p ⌝，则a 的取值范围是( A ) A.[1，＋∞)B.(－∞，1]C.[－1，＋∞)D.(－∞，－3]8.函数y ＝2|x |·sin 2x 的图象可能是( D )9.函数f (x )＝⎩⎪⎨⎪⎧|2x －1|，x ≤2，－x ＋5，x >2.若互不相等的实数a ，b ，c 满足f (a )＝f (b )＝f (c )，则2a ＋2b ＋2c 的取值范围是( B ) A.(16，32)B.(18，34)C.(17，35)D.(6，7)10.函数f (x )的定义域为D ，若满足：①f (x )在D 内是单调函数；②存在[a ，b ]⊆D ，使f (x )在 [a ，b ]上的值域为⎣⎡⎦⎤a 2，b 2，那么就称y ＝f (x )为“半保值函数”，若函数f (x )＝log a (a x ＋t 2)(a >0，且a ≠1)是“半保值函数”，则t 的取值范围为( B ) A.⎝⎛⎭⎫0，14 B.⎝⎛⎭⎫－12，0∪⎝⎛⎭⎫0，12 C.⎝⎛⎭⎫0，12D.⎝⎛⎭⎫－12，12 11.已知函数f (x )＝kx ＋1，g (x )＝e x ＋1(－1≤x ≤1)，若f (x )与g (x )的图象上分别存在点M ，N ，使得点M ，N 关于直线y ＝1对称，则实数k 的取值范围是( D ) A.⎣⎡⎭⎫1e ，＋∞B.⎣⎡⎦⎤－e ，1eC.[－e ，＋∞)D.(]－∞，－e ∪⎣⎡⎭⎫1e ，＋∞ 12.已知f (x )在R 上是奇函数，且f ′(x )为f (x )的导函数，对任意x ∈R ，均有f (x )>f ′（x ）ln 2成立，若f (－2)＝2，则不等式f (x )>－2x－1的解集为( C )A.(－2，＋∞)B.(2，＋∞)C.(－∞，2)D.(－∞，－2)第Ⅱ卷（非选择题 共90分）注意事项：本卷共10小题，用黑色碳素笔将答案答在答题卡上.答在试卷上的答案无效.二、填空题：本大题共4小题，每小题5分，共20分. 13. 已知函数()2log ,0,3,0x x x f x x >⎧=⎨≤⎩则18f f ⎡⎤⎛⎫= ⎪⎢⎥⎝⎭⎣⎦ 127． 14.定积分⎠⎛－22(4－x 2＋x )d x ＝___2π._____.15．若,,a b c 均为正数, 且346a b c ==, 则2c ca b+的值是___2____________． 16．已知函数f (x )＝⎩⎪⎨⎪⎧（1－2a ）x ＋3a ，x <1，2x －1，x ≥1的值域为R ，则实数a 的取值范围是_0≤a <12.___.三、解答题：本大题共6小题，共70分.解答应写出文字说明、证明过程或演算步骤.17. (本小题满分12分)已知a ，b ，c 分别是△ABC 内角A ，B ，C 的对边，且满足(a ＋b ＋c )(sin B ＋sin C －sin A )＝b sin C . (1)求角A 的大小；(2)设a ＝3，S 为△ABC 的面积，求S ＋3cos B cos C 的最大值. 解 (1)∵(a ＋b ＋c )(sin B ＋sin C －sin A )＝b sin C ，∴根据正弦定理，知(a ＋b ＋c )(b ＋c －a )＝bc ，即b 2＋c 2－a 2＝－bc . ∴由余弦定理，得cos A ＝b 2＋c 2－a 22bc ＝－12.又A ∈(0，π)，所以A ＝23π.(2)根据a ＝3，A ＝23π及正弦定理得b sin B ＝c sin C ＝a sin A ＝332＝2， ∴b ＝2sin B ，c ＝2sin C .∴S ＝12bc sin A ＝12×2sin B ×2sin C ×32＝3sin B sin C .∴S ＋3cos B cos C ＝3sin B sin C ＋3cos B cos C ＝3cos(B －C ).故当B ＝C ＝π6时，S ＋3cos B cos C 取得最大值 3.18.（本题满分12分）如图，直四棱柱ABCD －A 1B 1C 1D 1的底面是菱形，AA 1＝4，AB ＝2，∠BAD ＝60°，E ，M ，N 分别是BC ，BB 1，A 1D 的中点. (1)证明：MN ∥平面C 1DE ； (2)求二面角A －MA 1－N 的正弦值. (1)证明 如图，连接B 1C ，ME .因为M ，E 分别为BB 1，BC 的中点，所以ME ∥B 1C ，且ME ＝12B 1C .又因为N 为A 1D 的中点，所以ND ＝12A 1D .由题设知A 1B 1∥DC ，可得B 1C ∥A 1D ，故ME ∥ND ， 因此四边形MNDE 为平行四边形，所以MN ∥ED . 又MN ⊄平面C 1DE ，DE ⊂平面C 1DE ， 所以MN ∥平面C 1DE .(2)解 由已知可得DE ⊥DA ，以D 为坐标原点，DA →，DE →，DD 1→的方向为x 轴、y 轴、z 轴的正方向，建立如图所示的空间直角坐标系D －xyz ，则A (2，0，0)，A 1(2，0，4)，M (1，3，2)，N (1，0，2)，A 1A →＝(0，0，－4)，A 1M →＝(－1，3，－2)，A 1N →＝(－1，0，－2)，MN →＝(0，－3，0).设m ＝(x ，y ，z )为平面A 1MA 的法向量，则⎩⎪⎨⎪⎧m ·A 1M →＝0，m ·A 1A →＝0，所以⎩⎨⎧－x ＋3y －2z ＝0，－4z ＝0，可取m ＝(3，1，0).设n ＝(p ，q ，r )为平面A 1MN 的法向量，则⎩⎪⎨⎪⎧n ·MN →＝0，n ·A 1N →＝0，所以⎩⎨⎧－3q ＝0，－p －2r ＝0，可取n ＝(2，0，－1).于是cos 〈m ，n 〉＝m ·n |m ||n |＝232×5＝155，则sin 〈m ，n 〉＝105，所以二面角A －MA 1－N 的正弦值为105. 19.（本题满分12分）为迎接我校建校110周年，某班开展了一次“校史知识”竞赛活动，竞赛分初赛和决赛两个阶段进行，在初赛后，把成绩（满分为100分，分数为均匀整数）进行统计，制成如右图的频率分布表：（Ⅰ）求,,,a b c d 的值；（Ⅱ）决赛规则如下：为每位参加决赛的选手准备四道题目，选手对其依次作答，答对两道就终止答题，并获得一等奖，若题目答完仍然只答对一道，则获得二等奖.某同学进入决赛，每道题答对的概率P 的值恰好与频率分布表中不少于90分的频率的值相同.设该同学决赛中答题个数为X ，求X 的分布列以及X 的数学期望.解：(Ⅰ(Ⅱ)X 的可能取值为2，3，4.12(2)0.20.20.04,(3)0.20.80.20.064,P X P X C ==⨯===⨯⨯=1233(4)0.20.80.80.896P X C ==⨯+=所以分布列为：()20.0430.06440.896 3.856E X =⨯+⨯+⨯=20.（本题满分12分）已知P 点坐标为(0，－2)，点A ，B 分别为椭圆E ：x 2a 2＋y 2b 2＝1(a >b >0)的左、右顶点，直线BP 交E 于点Q ，△ABP 是等腰直角三角形，且PQ →＝32QB →.(1)求椭圆E 的方程；(2)设过点P 的动直线l 与E 相交于M ，N 两点，当坐标原点O 位于以MN 为直径的圆外时，求直线l 斜率的取值范围.解 (1)由△ABP 是等腰直角三角形，得a ＝2，B (2，0).设Q (x 0，y 0)，则由PQ →＝32QB →，得⎩⎨⎧x 0＝65，y 0＝－45，代入椭圆方程得b 2＝1， 所以椭圆E 的方程为x 24＋y 2＝1. (2)依题意得，直线l 的斜率存在，方程设为y ＝kx －2.联立⎩⎪⎨⎪⎧y ＝kx －2，x 24＋y 2＝1，y 并整理得(1＋4k 2)x 2－16kx ＋12＝0.(*) 因直线l 与E 有两个交点，即方程(*)有不等的两实根，故Δ＝(－16k )2－48(1＋4k 2)>0，解得k 2>34. 设M (x 1，y 1)，N (x 2，y 2)，由根与系数的关系得⎩⎨⎧x 1＋x 2＝16k 1＋4k 2，x 1x 2＝121＋4k 2，因坐标原点O 位于以MN 为直径的圆外，所以OM →·ON →>0，即x 1x 2＋y 1y 2>0，又由x 1x 2＋y 1y 2＝x 1x 2＋(kx 1－2)(kx 2－2)＝(1＋k 2)x 1x 2－2k (x 1＋x 2)＋4＝(1＋k 2)·121＋4k 2－2k ·16k 1＋4k 2＋4>0，解得k 2<4，综上可得34<k 2<4， 则32<k <2或－2<k <－32. 则满足条件的斜率k 的取值范围为⎝⎛⎭⎫－2，－32∪⎝⎛⎭⎫32，2. 21.（本题满分12分）已知函数f (x )＝－a ln x ＋x ＋1－a x.(1)讨论函数f(x)的单调性；(2)设g(x)＝e x＋mx2－2e2－3，当a＝e2＋1时，对任意x1∈[1，＋∞)，存在x2∈[1，＋∞)，使g(x2)≤f(x1)，求实数m的取值范围.解(1)由题意知f(x)的定义域为(0，＋∞)，f′(x)＝－ax＋1＋a－1x2＝（x－1）（x－a＋1）x2，令f′(x)＝0，得x＝1或x＝a－1.当a≤1时，a－1≤0，由f′(x)<0得0<x<1，由f′(x)>0得x>1，所以函数f(x)在(0，1)上单调递减，在(1，＋∞)上单调递增.当1<a<2时，0<a－1<1，由f′(x)<0，得a－1<x<1，由f′(x)>0得0<x<a－1或x>1，所以函数f(x)在(a－1，1)上单调递减，在(0，a－1)和(1，＋∞)上单调递增. 当a＝2时，a－1＝1，可得f′(x)≥0，此时函数f(x)在(0，＋∞)上单调递增.当a>2时，a－1>1，由f′(x)<0得1<x<a－1，由f′(x)>0得0<x<1或x>a－1，所以函数f(x)在(1，a－1)上单调递减，在(0，1)和(a－1，＋∞)上单调递增.(2)当a＝e2＋1时，由(1)得函数f(x)在(1，e2)上单调递减，在(0，1)和(e2，＋∞)上单调递增，从而f(x)在[1，＋∞)上的最小值为f(e2)＝－e2－3.对任意x1∈[1，＋∞)，存在x2∈[1，＋∞)，使g(x2)≤f(x1)，即存在x 2∈[1，＋∞)，使g (x 2)的函数值不超过f (x )在区间[1，＋∞)上的最小值－e 2－3.由e x ＋mx 2－2e 2－3≤－e 2－3得e x ＋mx 2≤e 2，m ≤e 2－e xx 2. 记p (x )＝e 2－e xx 2，则当x ∈[1，＋∞)时，m ≤p (x )max . p ′(x )＝－e x x 2－2（e 2－e x ）x （x 2）2＝－e x x ＋2（e 2－e x ）x 3， 当x ∈[1，2]时，显然有e x x ＋2(e 2－e x )>0，p ′(x )<0，当x ∈(2，＋∞)时，e x x ＋2(e 2－e x )>e x x －2e x >0，p ′(x )<0，故p (x )在区间[1，＋∞)上单调递减，得p (x )max ＝p (1)＝e 2－e ，从而m 的取值范围为(－∞，e 2－e].四．选考题:（请考生在第22、23题中任选一题做答，如果多做，则按所做的第一题记分.答时用2B 铅笔在答题卡上把所选题目的题号涂黑.请在答题卷上注明题号.）22. （本题满分10分）坐标系xOy 中，曲线C 的参数方程为⎩⎪⎨⎪⎧x ＝3cos θ，y ＝3sin θ(θ为参数).以坐标原点为极点，x 轴正半轴为极轴建立极坐标系，直线l 的极坐标方程为ρ(cos θ－sin θ)＝1.(1)求C 的普通方程和l 的直角坐标方程；(2)已知直线l 与y 轴交于点M ，且与曲线C 交于A ，B 两点，求⎪⎪⎪⎪1|MA |－1|MB |的值.解 (1)将直线l 的极坐标方程ρ(cos θ－sin θ)＝1化为直角坐标方程为x －y －1＝0.将曲线C 的参数方程⎩⎪⎨⎪⎧x ＝3cos θ，y ＝3sin θ(θ为参数)化为普通方程为x 2＋y 2＝9. (2)由(1)知点M (0，－1)，故直线l 的参数方程为⎩⎨⎧x ＝22t ，y ＝－1＋22t(t 为参数)，代入圆的方程为t 2－2t －8＝0，设A ，B 对应的参数为t 1和t 2，所以t 1＋t 2＝2，t 1·t 2＝－8.故⎪⎪⎪⎪1|MA |－1|MB |＝|t 1＋t 2||t 1t 2|＝28. 23．（本题满分10分）已知函数()|21||23|f x x x =++-. （Ⅰ）求不等式6)(≤x f 的解集；（Ⅱ）若关于x 的不等式|1|)(-<a x f 的解集非空，求实数a 的取值范围. 解：（Ⅰ）原不等式等价于即不等式的解集为}21|{≤≤-x x .，解此不等式得53>-<a a 或.。
2021年甘肃省兰州市中考英语试题(A卷)
A tourist was driving along a road one evening, he accidentally ran over a kangaroo. The tourist thought that____6____would believe him, so he decided to take a photo of the kangaroo. He picked the dead kangaroo up and put it next to the car. He then____7____his jacket and sunglasses and put them on the kangaroo to make his photo more interesting. All went well,____8____, the kangaroo woke up! It had only been knocked out but not actually dead! As soon as the kangaroo woke up,____9____ran away, wearing a jacket, which also included three credit cards（信用卡）, one passport and＄1,000 in cash! What a_____10_____kangaroo!
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兰州一中2020-2021-1学期高一年级期中考试试题英语说明：本试卷分第I卷（选择题）和第II卷（非选择题）两部分，满分120分。
考试时间100分钟。
答案写在答题卡上，交卷时只交答题卡。
第I卷选择题（共50分）第一节阅读理解(共10小题；每小题2分，满分20分)阅读下列短文，从每题所给的四个选项(A、B、C和D)中, 选出最佳选项。
AEach applicant to Harvard College is considered with great care. We consider each applicant to Harvard College as a whole person, and put a lot of care into evaluating every application(申请). We hope you will explore the information in this section to understand what we look for in our admissions process.How to ApplySubmit(提交) your application through the Common Application, the Coalition Application, or the Universal College Application. Each is treated equally by the Admissions Committee. Complete and submit your materials as soon as possible to ensure full and timely consideration of your application. View our Application Tips for step-by-step information.When to ApplyWhat We Look ForWe seek promising students who will contribute to the Harvard community during their college years, and to society throughout their lives.While academic accomplishment is the basic requirement, the Admission Committee considers many other factors—strong personal qualities, special talents or excellence of all kinds, perspectives(观点；视角) formed by unusual personal circumstances, and the ability to take advantage of all sorts of resources and opportunities.We outline everything you need to apply to Harvard.Click https: //college. harvard. edu/admissions/apply to get detailed requirements.1．Where can you find step-by-step information of how to apply?A．Common Application.B．Coalition Application.C．Application Tips.D．Universal College Application.2．Which is the final day for Financial Aid Application?A．November 1.B．March 1.C．January 1.D．May 1.3．What is the basic requirement to apply for Harvard University?A．Unique perspectives.B．Strong personal qualities.C．Special talents.D．Academic accomplishment.BRich as a KingWilliam I, who conquered England some 930 years ago, had wealth, power and an army. Yet although William was very rich by the standard of his time, he had nothing like a flush toilet (抽水马桶), paper towels, or riding lawn mower (除草机). How did he get by?History books are filled with wealthy people who were poor compared to me. I have storm windows, Croesus did not. Entire nations trembled(颤抖) before Alexander the Great, but he couldn't buy cat food. Czar Nicholas lacked an electric saw(电锯).Given how much better off I am than so many famous dead people, you'd think I'd be content. The trouble is that, like most people, I compare my wealth with that of living person: neighbors, school classmates, famous TV people. The greed(贪婪) I feel toward my friend Howard's new kitchen is not reduced by the fact that no kings ever had a refrigerator with glass doors,There is really no rising or falling standard of living. Over the centuries people simply find different things to feel sad about. You'd think that simply not having disease would put us in a good mood, but no, we want a hot bath too.Of course, one way to achieve happiness would be to realize that even by today's standards the things I own are pretty nice. My house is smaller than the houses of many bankers, but even so it has a lot more rooms than my wife and I can keep clean.Besides, to people looking back at our age from a century or two in the future, these bankers' fancy furniture and my own old Formica will seem equally shabby(寒酸的), I can't keep up with my neighbors right now. But just wait.4.What does the underlined phrase "get by" in the first paragraph mean?A . Succeed as a king.B . Deal with complains.C . Get some extra money.D . Live in a satisfactory way.5.How many historical figures are mentioned to compare lives in the past and present?A . 3.B . 4.C . 5.D . 6.6.According to the passage, the author intends to .A . tell us to be content with lifeB . warn us to live in a simple wayC . leach us to learn lessons from lifeD . encourage us lo struggle for wealth7.What's the author's attitude towards life?A . Doubtful.B . Optimistic.C . Uncaring.D . Cautions.CIt is generally acknowledged that young people from poorer social-economic backgrounds tend to do less well in the education system. In an attempt to help the children of poor families, a nationwide program called “Headstart”was started in the US in 1965. A lot of money was poured into it. It took children into pre-school institutions at the age of three and was supposed to help them succeed in school. But the results have been disappointing , because the program began too late. Many children who entered it at three were already behind their peers(同龄人) in language and intelligence and the parents were not involved in the process. At the end of each day, “Headstart”children returned to the same disadvantaged home environment.To improve the results, another program was started in Missouri that concentrated on parents as the child’s first teachers. This program was based on research showing that working with the family is the most effective way of helping children get the best possible start in life. The four-year study included 380 families who were about to have their first child and represented different social-economic status, age and family structure. The program involved trained educators visiting and working with the parent or parents and the child. The program also gave the parents some guidance, and useful skills on child development.At three, the children involved in the “Missouri”program were evaluated with the children selected from the same social-economic background and family situations. The results were obvious. The children in the program were moreadvanced in language development, problem solving and other intellectual(智力的) skills than their peers. They performed equally well regardless of social-economic backgrounds or family structure. The one factor that was found to affect the child’s development was the poor quality of parent-child interaction. That interaction was not necessarily bad in poorer families.The “Missouri”program compares quite clearly with the “Headstart”program. Without a similar focus on parent education and on the vital importance of the first three years, some evidence indicates that it will not be enough to overcome educational unfairness.8.What caused the failure of the “Headstart”program ?A．The large number of poor families.B．The late start of the program.C．The disapproval from children.D．The long period of time.9．According to the passage, what is likely to influence children’s performance ?A．The number of family members.B．The intelligence of their parents.C．The parent-child communication.D．The teacher-student relationship.10．How does the author develop the passage ?A．By making comparisons.B．By listing figures.C．By giving examples.D．By drawing conclusions.第二节阅读补全(共5小题；每小题2分，满分10分)Becoming Refreshed without sleepingSometimes there is just not enough hours in the day to get everything done and get a good night's rest. 11. Once in a while you can get away with a sleepless night and still feel reasonably good by adjusting your meals and activities.12. The last thing you want to do when you are tired is get warm and cozy, because this will cause you to fall asleep. Keeping the air conditioner on will make you feel much more alert and refreshed.Eat small amounts. Eating small amounts of healthy food will help refresh you. Fruit and nuts are a good choice because they are nutritious(有营养的) and will energize you. 13. Try to stick to low carbon meals to keep you going. Chewing(咀嚼) gum after your snack or small meal will also help keep you awake.Keep it bright. When it is dark your body thinks it is time to go to sleep. Turn on lots of lights, which will trick your body into waking up and feeling better. 14. You’ll get double the benefits if it is daytime.Take a break. Taking a little break will help you in the long run. Turn up some energizing music to get yourself positive. Relax and talk to a friend in person or on the phone for a few minutes. 15.A. Keep it coolB. Calm down and sleepC. Avoid big, heavy meals as they will make you tiredD. Go outside whether it is day or night for some fresh airE. Missing sleep regularly can make you sick and should be avoidedF. When you are tired, you may just want to sit around and do nothingG. Having a good time for a few minutes will refresh you quicker than anything else.第三节完形填空（共20小题；每题1分，满分20分）When I was a young boy growing up in North Dakota, my grandparents were farmers; And I remember the huge garden that my Grandma 16 ．I promise you it was about 4,000 square metres．Well, 17 it seemed that way to me! She 18 the garden all by hand, with a hoe(锄头) and some water．Each spring the garden took shape from cold flat earth, which she changed through much hard work into rows of hills ready for 19 ．I especially remember 20 Grandma plant potatoes．Grandma had 21 potatoes from last year．She stored them with the rest of the harvest in the outdoor cellar(地窖), where vegetables were kept safely all 22 . When spring came, we 23 last year's potatoes and planted each piece into a hill of soil in the garden．I thought we would never 24 the end of the planting work even though everybody was helping!Before long the garden became fully 25 because of sunny days, warmer temperatures and rain．26 it needed lots of hoeing and watering by Grandma and her helper to have a harvest．But it provided vegetables throughout the summer, until the final 27 when cold weather set in．By the time Thanksgiving dinner 28 , the ground at my grandparent's farm often would be covered with snow and we'd be29 for a long winter．Warm inside the house, around Thanksgiving dinner, we looked through windows at bare(光秃的) tree branches(树枝) in the 30 garden．Our whole family would 31 potatoes and other vegetables from the 32 ．And of course wonderful pumpkin(南瓜) pie…I can smell it now! It's 33how a pumpkin pie can make me 34 years of Thanksgiving dinners, and how that warmth 35 in my heart．16．A．shared B．owned C．controlled D．found17．A．at first B．at last C．at most D．at least18．A．looked after B．showed off C．took over D．brought up19．A．watering B．moving C．planting D．giving20．A．helping B．watching C．making D．spying21．A．sold B．chosen C．saved D．spotted22．A．spring B．summer C．autumn D．winter23．A．ate B．cut C．fried D．grew24．A．reach B．hear C．use D．cover25．A．important B．popular C．active D．peaceful26．A．For example B．Of course C．In return D．After all27．A．flavour B．celebration C．harvest D．vacation28．A．continued B．followed C．ended D．arrived29．A．right B．ready C．fit D．safe30．A．changing B．sleeping C．tiny D．poor31．A．enjoy B．want C．send D．buy32．A．market B．garden C．store D．farm33．A．difficult B．doubtful C．amazing D．crazy34．A．accept B．understand C．realize D．remember35．A．races B．passes C．remains D．jumps第II卷非选择题（共70分）第一节单词拼写（共10小题，每小题1分，满分10分）36.Twenty years has gone and my hometown has changed beyond r___________.37.To be honest, I was ____________(完全地) frightened by the thunder just now.38.I_________ the difference between the two research findings will be one of the worst mistakes you make.39.He has paid several o_________ visits to our country since he came to power.40.After an earthquake most survivors can be expected to ____________(恢复) from trauma(创伤) overtime, particularly with the support of family and friends.41.While shopping, women cannot help ___________（说服）to buy something they don’t really want.42.People develop a _________(偏爱) for a particular style of learning at an early age.43.When they returned to Rockaway the next day, they found their neighbourhood in r________.44.The girl was sitting on the bench in the park, _________(埋头) her head in the book in her hands.45.The school has a system of _________(奖励) and punishments to encourage good behaviour.第二节. 单句语法填空（共10小题，每小题1分，满分10分）46.Was it because Jack came late for school ________ Mr Smith got angry?47.Eye doctors recommend that a child’s first eye exam __________(be) at the age of six months old.48.Besides the high-speed rail system, China _________(improve) people’s lives in many other innovative fields over the last decade.49.Everyone wanting to be successful has to pick themselves up and continue practicing ________ they reach a goal.50.A series of lectures _________(be) scheduled.51.The university has a few dozen lecturers, all of __________ have graduated from top-class universities.52.How long will it be ________ he finishes his homework?53.The teacher told us that he _________(teach) English since he came here.54.The number of foreign students attending Chinese universities ________(be) rising since 1990.55.Once ________(find), any mistake must be corrected.第三节语法填空（共10小题；每小题1.5分，满分15分）阅读下面材料，在空白处填入一个适当的词或括号内单词的正确形式。