每周真题测试-4(3)
2020年初三第4次 周考试卷
2020年初三第四次周考试卷I、听力（共27 题，每小题1 分，计27分）A)听下面8段对话，找出正确的答案（8分）( )1. How long has the woman kept the camera ?A.For three years.B. For six yearsC. For eight years ( )2. How much is this yellow T-shirt ?A.$20B. $ 15C. $ 5( )3. Who doesn’t like watching sitcoms ?A.NancyB. Nancy’s sisterC. Nancy’s friend ( )4. How will the girl get to Ji’an tomorrow ?A.By trainB. By carC. By air( )5. Where are they possibly talking ?A.At the bookstoreB. At the hospitalC. At the restaurant ( )6. When will the man have an exam ?A.At 8:05 a.mB. At 8:25 a.mC. At 8:30 a.m ( )7. What is the girl’s advice ?A.Try to succeed overnightB. Get high grades in the next examC.Learn from the mistakes.( )8. What happened yesterday ?A.Some windows brokeB. Some heavy objects fellC. Some flower pots fell.B)听5段对话，找出正确答案。
请听第1段材料，回答第9、10小题。
（）9. WhydoesThe慢立刻rockmusic？A.Because the music is interestingB. Because the music makes him excitedC. Because the music makes him relaxed.( )10. What kind of instrument can the man play well ?A.The guitarB. The drumC. The piano请听第2段材料，回答第11、12小题。
高三第四次英语周考试卷[最新版]
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机密*启用前【考试时间:4月14日15:00一17:00】高三第四次英语周考试卷本试卷分第一卷(选择题)和第二卷(非选择题)两部分。
考试结束，将本试卷和答题卡一并交回。
满分150分，考试用时120分钟。
第一卷(三部分，共115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，并认真核准条形码上的准考证号、姓名及科目，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的答案标号涂黑。
如需改动，用橡皮擦擦干净后，再选涂其它答案标号。
答在试卷上的答案无效。
第一部分:听力(共两节，满分30分)做题时，先将答案划在试卷上。
录音内容结束后，你将有两分钟的时间将试卷上的答案转涂到答题卡上。
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--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。
例:How much is the shirt ?A.$19.15.B.$9.15.C.$9.18.答案是B。
1. When will Mr. Addison return?A. On Monday afternoon.B. On Thursday nightC. On Friday morning2. What time did the second baseball game finally start?A. At 3:45B. At 4:45C. At 5:453.Who is the man?A. Tom’s bossB. Tom’s doctor.C. The woman’s doctor.4. Where does this conversation take place?A. In a parkB. At a station.C. On the street.5. What can we learn from this conversation?A. The man is able to manage.B. Mr. Brown will ring back soon.C.. The woman didn’t an swer the phone.第二节(共15个小题;每小题1.5分，满分22.5分)听下面5段对话或独白。
初一每周测试题及答案
初一每周测试题及答案一、选择题（每题2分，共20分）1. 下列哪个选项是正确的英语单词拼写？A. colorB. collorC. colourD. colur2. 以下哪个成语与“画蛇添足”意思相近？A. 画龙点睛B. 画蛇添足C. 画饼充饥D. 画地为牢3. 以下哪个数学公式表示圆的面积？A. A = πr²B. V = πr²C. V = πr³D. A = πr³4. 以下哪个选项是正确的化学元素符号？A. 水 - H2OB. 铁 - FeC. 氧 - O2D. 氢 - H25. 以下哪个选项是正确的物理单位？A. 速度 - 米/秒B. 质量 - 千克C. 长度 - 米D. 所有选项都是6. 以下哪个历史人物是唐朝的皇帝？A. 秦始皇B. 汉武帝C. 唐太宗D. 宋太祖7. 以下哪个选项是正确的生物分类？A. 植物界B. 动物界C. 微生物界D. 所有选项都是8. 以下哪个选项是正确的地理术语？A. 经度 - 纬度B. 纬度 - 经度C. 经纬度 - 纬度D. 纬度 - 经度9. 以下哪个选项是正确的计算机术语？A. 硬件 - 软件B. 软件 - 硬件C. 操作系统 - 硬件D. 硬件 - 操作系统10. 以下哪个选项是正确的音乐符号？A. 音符 - 休止符B. 休止符 - 音符C. 五线谱 - 音符D. 音符 - 五线谱二、填空题（每题1分，共10分）11. 英语中“苹果”的单词是_______。
12. 圆周率π的近似值是_______。
13. 化学中，水的化学式是_______。
14. 地球的赤道周长大约是_______千米。
15. 计算机的CPU是_______的缩写。
16. 世界上最高的山峰是_______。
17. 音乐中，五线谱上的音符“C”代表的是_______。
18. 唐朝是中国历史上的一个朝代，它的首都在今天的_______。
19. 地理中，地球的自转周期是_______小时。
高三上学期周考数学理模拟试卷四
2018 届高三上学期周考数学（理）试卷（四）一．选择题（ 12 小题，每题 5 分，共 60 分）1．已知会集 A={x∈N|1＜x＜log2k} ，会集 A 中最稀有 3 个元素，则（）A．k＞8B．k≥8C．k＞16D．k≥162．复数的共轭复数的虚部是（）A．B．C．﹣1 D．13．已知 f （ x）=x﹣sinx ，命题 p：? x∈（0，），f （ x）＜ 0，则（）A．p 是假命题，￢ p： ? x∈（ 0，），f （x）≥ 0B．p 是假命题，￢ p： ? x∈（ 0，），f （x）≥ 0C．p 是真命题，￢ p： ? x∈（ 0，），f （x）≥ 0D．p 是真命题，￢ p： ? x∈（ 0，），f （x）≥ 04．《算法通宗》是我国古代内容丰富的数学名书，书中有以下问题：“眺望巍巍塔七层，红灯向下倍加增，共灯三百八十一，请问塔顶几盏灯？”其意思为“一座塔共七层，从塔顶至塔底，每层灯的数量都是上一层的 2 倍，已知这座塔共有 381 盏灯，请问塔顶有几盏灯？”A．3 B．4C．5D．65．设函数 f （x）=sin （2x﹣）的图象为C，下边结论中正确的选项）是（A．函数 f （ x）的最小正周期是2πB．函数f （ x）在区间（﹣，）上是增函数C．图象C 可由函数g（x）=sin2x的图象向右平移个单位获得D．图象 C 关于点（，0）对称6．程序框图的算法思路源于我国古代数学名著《九章算术》中的“更相减损术”，履行该程序框图，若输入的a，b 分别为 14， 18，则输出的 a=（）A．0 B．2C．4D．147．若不等式组表示的地域Ω，不等式（x﹣）2+y2表示的地域为Γ，向Ω地域平均随机撒360 颗芝麻，则落在地域Γ中芝麻数约为（）A．114 B．10C． 150 D．508．2015 年 4 月 22 日，亚非领导人会议在印尼雅加达举行，某五国领导人A，B，C，D，E，除 B 与 E、D 与 E 不仅独会见外，其余领导人两两之间都要单独会晤，现安排他们在两天的上午、下午单独会见（每人每个半天最多只进行一次会晤），那么安排他们单独会见的不同样方法共有（）A．48 种B．36 种C．24 种D．8 种9．实数 x，y 满足，则xy的最小值为（）A．2 B．C．D．110．如图，在△ OMN中， A，B 分别是 OM，ON的中点，若=x +y（x，y∈ R），且点 P 落在四边形 ABNM内（含界限），则的取值范围是（）A．[，]B．[，]C．[，]D．[，]11． F1，F2 分别是双曲线﹣=1（a，b＞0）的左右焦点，点P 在双曲线上，满足=0，若△ PF1F2的内切圆半径与外接圆半径之比为，则该双曲线的离心率为（）A．B．C．+1 D．+112．以以下列图，正方体ABCD﹣A′B′C′D′的棱长为1，E，F 分别是棱AA′，CC′的中点，过直线E，F 的平面分别与棱BB′、DD′交于M，N，设BM=x， x∈ [0 ，1] ，给出以下四个命题：①平面 MENF⊥平面 BDD′B′；②当且仅当 x= 时，四边形 MENF的面积最小；③四边形MENF周长 L=f （ x），x∈[0 ，1] 是单调函数；④四棱锥 C′﹣ MENF的体积 V=h（x）为常函数；以上命题中假命题的序号为（）A．①④B．②C．③D．③④二. 填空题（ 4 小题，每题 5 分，共 20 分）13．双曲线﹣y2=1的焦距是，渐近线方程是．14．已知三棱锥 A﹣ BCD中，AB⊥面 BCD，△BCD为边长为 2 的正三角形，AB=2，则三棱锥的外接球体积为．15．已知 a=cosxdx，则 x（x﹣）7的张开式中的常数项是．（用数字作答）16．（填空题压轴题：观察函数的性质，字母运算等）设函数 f （x）的定义域为 D，假如存在正实数k，使对任意 x∈ D，都有 x+k∈D，且 f （x+k）＞ f （x）恒建立，则称函数 f （x）为 D上的“ k 型增函数”．已知 f （x）是定义在 R上的奇函数，且当 x＞0 时， f （x）=|x ﹣ a| ﹣2a，若 f （x）为 R 上的“ 2011 型增函数”，则实数 a 的取值范围是．三．解答题17．在△ ABC中，角 A，B，C 的对边分别为 a，b，c，已知 bcos2 +acos2 = c．（Ⅰ）求证： a， c， b 成等差数列；（Ⅱ）若 C=，△ ABC的面积为2，求c．18．某校新、老校区之间开车单程所需时间为 T，T 只与道路畅达状况有关，对其容量为 100 的样本进行统计，结果以下：T（分钟）25303540频数（次）20304010（Ⅰ）求 T 的分布列与数学希望ET；（Ⅱ）刘教授驾车从老校区出发，前去新校区做一个50 分钟的讲座，结束后马上返回老校区，求刘教授从走开老校区到返回老校区共用时间不超出120分钟的概率．19．如图，在四棱锥P﹣ABCD中， PC⊥底面 ABCD，底面 ABCD是直角梯形，AB⊥AD， AB∥CD，AB=2AD=2CD=2，PE=2BE．（I ）求证：平面 EAC⊥平面 PBC；（Ⅱ）若二面角P﹣AC﹣E 的余弦值为，求直线PA与平面EAC所成角的正弦值．20．已知椭圆的离心率为，且过点．若点M（x0，y0）在椭圆 C 上，则点称为点M的一个“椭点”．（I ）求椭圆 C 的标准方程；（Ⅱ）若直线 l ：y=kx+m与椭圆 C订交于 A，B 两点，且 A，B 两点的“椭点”分别为P，Q，以PQ为直径的圆经过坐标原点，试判断△AOB的面积能否为定值？若为定值，求出定值；若不为定值，说明原由．21．已知函数 f （x）=lnx ﹣x2+ax，（1）当 x∈（ 1，+∞）时，函数 f （x）为递减函数，求 a 的取值范围；（2）设 f' （x）是函数 f （x）的导函数， x1，x2 是函数 f （ x）的两个零点，且 x1＜ x2，求证（3）证明当 n≥2 时，．[ 坐标系与参数方程 ]22．在直角坐标系中，以坐标原点O为极点，轴的非负半轴为极轴建立极x坐标系，已知点 M的极坐标为（ 2，），曲线C的参数方程为（α为参数）．（1）直线 l 过 M且与曲线 C 相切，求直线 l 的极坐标方程；（2）点 N 与点 M关于 y 轴对称，求曲线 C上的点到点 N的距离的取值范围．[ 不等式选讲 ]23．已知 ? x0∈R使得关于 x 的不等式 |x ﹣1| ﹣|x ﹣ 2| ≥t 建立．（Ⅰ）求满足条件的实数t 会集 T；（Ⅱ）若 m＞1，n＞1，且关于 ? t ∈T，不等式 log3m?log3n ≥t 恒建立，试求 m+n的最小值．答案：一．选择题（ 12 小题，每题 5 分，共 60 分）3 个元素，则（）1．已知会集 A={x∈N|1＜x＜log2k} ，会集 A 中最稀有A．k＞8B．k≥8C．k＞16D．k≥16【考点】会集的表示法．【剖析】第一确立会集 A，由此获得 log2k ＞ 4，由此求得 k 的取值范围．【解答】解：∵会集A={x∈N|1＜x＜log2k} ，会集A 中最稀有3 个元素，∴A={2， 3， 4} ，∴l og2k ＞4，∴k＞16．应选： C．2．复数的共轭复数的虚部是（）A．B．C．﹣1 D．1【考点】复数代数形式的乘除运算．【剖析】利用复数代数形式的乘除运算化简，求出原复数的共轭复数得答案．【解答】解：∵=，∴复数的共轭复数为﹣i ，虚部为﹣1．应选： C．3．已知 f （ x）=x﹣sinx ，命题 p：? x∈（0，），f（x）＜0，则（）【考点】命题的否定．【剖析】利用特称命题的否定是全称命题写出结果即可．【解答】解： f （ x） =x﹣sinx ，x∈（ 0，），f′（x）=1﹣cosx＞0，∴ f（x）是（ 0，）上是增函数，∵f（0）=0，∴f （x）＞ 0，∴命题 p：? x∈（ 0，），f（x）＜0是假命题，￢p：? x∈（ 0，），f（x）≥ 0，应选： A．4．《算法通宗》是我国古代内容丰富的数学名书，书中有以下问题：“眺望巍巍塔七层，红灯向下倍加增，共灯三百八十一，请问塔顶几盏灯？”其意思为“一座塔共七层，从塔顶至塔底，每层灯的数量都是上一层的 2 倍，已知这座塔共有 381 盏灯，请问塔顶有几盏灯？”A．3 B．4C．5D．6【考点】等差数列的前n 项和．【剖析】设出塔顶灯的盏数，由题意可知灯的盏数自上而下构成等比数列，且公比为 2，此后由等比数列的前 7 项和等于 381 列式计算即可．选： A．5．设函数 f （x）=sin （2x﹣）的图象为C，下边结论中正确的选项）是（A．函数 f （ x）的最小正周期是2πB．函数f （ x）在区间（﹣，）上是增函数C．图象C 可由函数g（x）=sin2x的图象向右平移个单位获得D．图象 C 关于点（，0）对称【考点】正弦函数的图象．【剖析】由条件利用正弦函数的周期性、单调性、以及图象的对称性，y=Asin （ωx+φ）的图象变换规律，得出结论【解答】解：依据函数 f （x）=sin （2x﹣）的周期为=π，可得 A 错误；选： D．6．程序框图的算法思路源于我国古代数学名著《九章算术》中的“更相减损术”，履行该程序框图，若输入的a，b 分别为14， 18，则输出的a=（）A．0B．2C． 4D．14【考点】程序框图．a，b 的【剖析】由循环结构的特色，先判断，再履行，分别计算出当前的值，即可获得结论．【解答】解：由 a=14，b=18，a＜b，则 b 变成 18﹣14=4，由 a＞ b，则 a 变成 14﹣ 4=10，由 a＞ b，则 a 变成 10﹣ 4=6，由 a＞ b，则 a 变成 6﹣4=2，由 a＜ b，则 b 变成 4﹣2=2，由 a=b=2，则输出的 a=2．应选： B．7．【考点】几何概型；简单线性规划．【剖析】作出两平面地域，计算两地域的公共面积，得出芝麻落在地域Γ内的概率．【解答】解：作出平面地域Ω如图：则地域Ω的面积为 S△ABC==．地域Γ表示以 D（）为圆心，以为半径的圆，则地域Ω和Γ的公共面积为 S′=+=．∴芝麻落入地域Γ的概率为=．∴落在地域Γ中芝麻数约为 360×=30π+20≈ 114．应选 A．8．2015 年 4 月 22 日，亚非领导人会议在印尼雅加达举行，某五国领导人A，B，C，D，E，除 B 与 E、D 与 E 不仅独会见外，其余领导人两两之间都要单独会晤，现安排他们在两天的上午、下午单独会见（每人每个半天最多只进行一次会晤），那么安排他们单独会见的不同样方法共有（）A．48 种B．36 种C．24 种D．8 种【考点】摆列、组合及简单计数问题．【剖析】单独会见，共有AB，AC，AD， AE，BC，BD，CD，CE共 8 种状况，再分步，即可得出结论．【解答】解：单独会见，共有AB，AC， AD，AE，BC，BD，CD， CE共 8 种情况，设为第 n 次，分成四个时段，每个时段 [ 即某个上午或下午 ] 有两次，各个时段没有关系．设第一次会见有E，则有两种方法（不防设为AE），则第二次会见在 BCD内任选（设为 BC），有三种方法，第三次设再有 E 则有一种方法（ CE），第四次在 ABD内任选则有两种方法（设为 AD），则剩下的排序只有 4 种，则有 2× 3× 1× 2× 4=48种．应选： A．9．【考点】函数的最值及其几何意义；基本不等式在最值问题中的应用；三角函数的化简求值．【解答】解：∵，∴2cos2（x+y﹣1）=∴2cos2（x+y﹣1）=，故 2cos2（x+y﹣1）=x﹣y+1+，由基本不等式可得（ x﹣ y+1）+≥2，或（x﹣y+1）+≤﹣2，∴2cos2（x+y﹣1）≥ 2，由三角函数的有界性可得 2cos2（ x+y﹣1）=2，故 cos2（x+y﹣ 1） =1，即 cos（x+y﹣ 1） =± 1，此时 x﹣y+1=1，即 x=y，∴x+y﹣ 1=kπ，k∈Z，故 x+y=2x=kπ+1，解得 x=，故 xy=x?x=（）2，当 k=0 时， xy 的最小值，应选： B10．如图，在△ OMN中，A，B 分别是 OM，ON的中点，若=x +y（x，y∈R），且点 P 落在四边形 ABNM内（含界限），则的取值范围是（）A．[，]B．[ ， ]C．[ ， ]D．[ ， ]【考点】平面向量的基本定理及其意义．【解答】解：若 P 在线段 AB上，设=λ，则有==，∴=，因为=x+y（x，y∈ R），则 x=，y=，故有 x+y=1，若 P 在线段 MN上，设 =λ，则有=，故 x=1，y=0 时，最小值为，当 x=0，y=1 时，最大值为故范围为 []因为在△ OMN中， A，B 分别是 OM，ON的中点，则 =x +y = x+ y （x，y∈R），则 x=，y=，故有 x+y=2，当 x=2，y=0 时有最小值，当 x=0，y=2 时，有最大值故范围为 []若 P 在暗影部分内（含界限），则∈应选： C．．11．【考点】双曲线的简单性质．【剖析】设P 为双曲线的右支上一点，由向量垂直的条件，运用勾股定理和双曲线的定义，可得 |PF1|+|PF2| ，|PF1| ?|PF2| ，再由三角形的面积公式，可得内切圆的半径，再由直角三角形的外接圆的半径即为斜边的一半，由条件联合离心率公式，计算即可获得所求值．【解答】解：设 P 为双曲线的右支上一点，=0，即为⊥，由勾股定理可得 |PF1|2+|PF2|2=|F1F2|2=4c2 ，①由双曲线的定义可得 |PF1| ﹣|PF2|=2a ，②①﹣②2，可得 |PF1| ?|PF2|=2 （c2﹣a2），可得 |PF1|+|PF2|=，由题意可得△ PF1F2的外接圆的半径为|F1F2|=c，设△ PF1F2的内切圆的半径为r ，可得|PF1| ?|PF2|=r （|PF1|+|PF2|+|F1F2|），解得r=（﹣ 2c），即有化简可得=8c2﹣ 4a2=（ 4+2，） c2，即有 c2=a2，则 e= == +1．应选： D．12．以以下列图，正方体 ABCD﹣A′B′C′ D′的棱长为 1，E，F 分别是棱AA′，CC′的中点，过直线 E，F 的平面分别与棱 BB′、 DD′交于 M，N，设BM=x， x∈ [0 ，1] ，给出以下四个命题：①平面 MENF⊥平面 BDD′B′；②当且仅当 x= 时，四边形 MENF的面积最小；③四边形MENF周长 L=f （ x），x∈[0 ，1] 是单调函数；④四棱锥 C′﹣ MENF的体积 V=h（x）为常函数；以上命题中假命题的序号为（）A．①④B．②C．③D．③④【考点】命题的真假判断与应用．【剖析】①利用面面垂直的判判断理去证明 EF⊥平面 BDD'B'．②四边形 MENF 的对角线 EF 是固定的，因此要使面积最小，则只需 MN的长度最小即可．③判断周长的变化状况．④求出四棱锥的体积，进行判断．【解答】解：①连结 BD，B'D' ，则由正方体的性质可知， EF⊥平面 BDD'B'，因此平面 MENF⊥平面 BDD'B'，因此①正确．②连结 MN，因为 EF⊥平面 BDD'B'，因此 EF⊥MN，四边形 MENF的对角线EF 是固定的，因此要使面积最小，则只需 MN的长度最小即可，此时当 M为棱的中点时，即 x=时，此时MN长度最小，对应四边形MENF的面积最小．因此②正确．③因为 EF⊥ MN，因此四边形 MENF是菱形．当 x∈[0 ，] 时，EM的长度由大变小．当 x∈[，1]时，EM的长度由小变大．因此函数L=f （x）不仅调．因此③错误．④连结 C'E， C'M，C'N，则四棱锥则切割为两个小三棱锥，它们以C'EF 为底，以 M，N 分别为极点的两个小棱锥．因为三角形C'EF 的面积是个常数． M，N 到平面 C'EF 的距离是个常数，因此四棱锥C' ﹣MENF的体积 V=h（x）为常函数，因此④正确．因此四个命题中③假命题．因此选 C．二. 填空题（ 4 小题，每题 5 分，共 20 分）13．双曲线﹣y2=1的焦距是2，渐近线方程是y=±x．【考点】双曲线的简单性质．【剖析】确立双曲线中的几何量，即可求出焦距、渐近线方程．【解答】解：双曲线=1 中， a=，b=1，c=，∴焦距是 2c=2，渐近线方程是y=±x．故答案为： 2；y=±x．14．已知三棱锥 A﹣ BCD中，AB⊥面 BCD，△BCD为边长为 2 的正三角形，AB=2，则三棱锥的外接球体积为π．【考点】球的体积和表面积；球内接多面体．【剖析】由已知联合三棱锥和正三棱柱的几何特色，可得此三棱锥外接球，r ，即为以△ BCD为底面以 AB为高的正三棱柱的外接球，分别求出棱锥底面半径和球心距 d，可得球的半径R，即可求出三棱锥的外接球体积．答案为：π ．15．已知a=cosxdx ，则x（ x ﹣）7的张开式中的常数项是﹣128．（用数字作答）【考点】二项式系数的性质．【剖析】利用微积分基本定理可得a，再利用二项式定理的通项公式即可得出答案为：﹣ 128．16．（填空题压轴题：观察函数的性质，字母运算等）设函数 f （x）的定义域为 D，假如存在正实数k，使对任意 x∈ D，都有 x+k∈D，且 f （x+k）＞ f （x）恒建立，则称函数 f （x）为 D上的“ k 型增函数”．已知 f （x）是定义在 R上的奇函数，且当 x＞0 时， f （x）=|x ﹣ a| ﹣2a，若 f （x）R 上的“ 2011 型增函数”，数【考点】奇偶性与性的合．【解答】解：∵ f （x）是定在a| 2a，a 的取范是R 上的奇函数，且当x＞0．， f （ x） =|x∴又 f （ x） R上的“ 2011 型增函数”，当 x＞ 0 ，由定有 |x+2011 a| 2a＞ |x a| 2a，即 |x+2011 a| ＞|xa| ，其几何意到点 a 小于到点 a 2011 的距离，因为 x＞0 故可知 a+a2011＜0 得 a＜当 x＜0 ，分两研究，若 x+2011＜0，有 |x+2011+a|+2a ＞|x+a|+2a ，即 |x+a| ＞|x+2011+a| ，其几何意表示到点 a 的距离小于到点 a 2011 的距离，因为 x＜0，故可得 a a 2011＞ 0，得 a＜；若 x+2011＞0，有 |x+2011 a| 2a＞ |x+a|+2a ，即 |x+a|+|x+2011 a| ＞4a，其几何意表示到到点 a 的距离与到点 a 2011 的距离的和大于 4a，当 a≤ 0 ，然建立，当 a＞0 ，因为 |x+a|+|x+2011+a|≥| a a+2011|=|2a 2011| ，故有 |2a 2011| ＞ 4a，必有 2011 2a＞ 4a，解得上， x∈ R 都建立的数 a 的取范是故答案：．三．解答17、【考点】数列与三角函数的合；正弦定理；余弦定理的用．【剖析】（Ⅰ）利用正弦定理以及两角和与差的三角函数，三角形的内角和，化求解即可．（Ⅱ）利用三角形的面以及余弦定理化求解即可．【解答】解：（Ⅰ）明：由正弦定理得：即，∴sinB+sinA+sinBcosA+cosBsinA=3sinC ⋯∴s inB+sinA+sin （A+B）=3sinC∴s inB+sinA+sinC=3sinC ⋯∴s inB+sinA=2sinC∴a+b=2c⋯∴a，c，b 成等差数列．⋯（Ⅱ）∴ab=8⋯c2=a2+b22abcosC=a2+b2ab=（a+b）23ab=4c2 24．⋯∴c2=8 得⋯18．某校新、老校区之开程所需T，T 只与道路通状况有关，其容量 100 的本行，果以下：（Ⅰ）求 T 的分布列与数学希望ET；（Ⅱ）刘教授从老校区出，前去新校区做一个50 分的座，束后马上返回老校区，求刘教授从走开老校区到返回老校区共用不超120分的概率．【考点】失散型随机量的希望与方差；失散型随机量及其分布列．【剖析】（Ⅰ）求 T 的分布列即求出相的率，率 =数÷ 本容量，数学希望ET=25×0.2+30 × 0.3+35 ×0.4+40 ×0.1=32 （分）；（Ⅱ） T1，T2 分表示往、返所需，事件 A 于“刘教授内行程中的不超 70 分”，先求出 P（）=P（T1=35，T2=40）+P（T1=40，T2=35）+P（T1=40，T2=40）=0.09 ，即 P（A）=1 P（） =0.91 ．【解答】解（Ⅰ）由果可得 T 的率分布以率估概率得T 的分布列从而数学希望 ET=25× 0.2+30 ×0.3+35 ×0.4+40 ×0.1=32 （分）（Ⅱ） T1，T2 分表示往、返所需，T1，T2 的取互相独立，且与T 的分布列同样，设事件 A 表示“刘教授共用时间不超出120 分钟”，因为讲座时间为50 分钟，因此事件 A 对应于“刘教授内行程中的时间不超出70 分钟”P（）=P（T1+T2＞70）=P（T1=35，T2=40）+P（T1=40，T2=35）+P（T1=40，T2=40）=0.4 ×0.1+0.1 × 0.4+0.1 ×故 P（ A）=1﹣P（）故答案为：（Ⅰ）分布列如上表，数学希望ET=32（分钟）（Ⅱ）19．如图，在四棱锥P﹣ABCD中， PC⊥底面 ABCD，底面 ABCD是直角梯形，AB⊥AD， AB∥CD，AB=2AD=2CD=2，PE=2BE．（I ）求证：平面 EAC⊥平面 PBC；（Ⅱ）若二面角P﹣AC﹣E 的余弦值为，求直线PA与平面EAC所成角的正弦值．【考点】二面角的平面角及求法；平面与平面垂直的判断．【解答】（I ）证明：∵ PC⊥底面 ABCD， AC? 平面ABCD，∴PC⊥AC．∵AB=2，AD=CD=1，∴ AC=BC= ，∴ AC2+BC2=AB2，∴AC⊥BC，又 BC∩ PC=C，∴AC⊥平面 PBC，又 AC? 平面 EAC，∴平面 EAC⊥平面 PBC．（I I ）解：取 AB的中点 F，两角 CF，则 CF⊥ AB，以点 C 为原点，建立空间直角坐标系，可得： C（0，0， 0），A（1，1，0），B（1，﹣ 1，0），设 P（ 0，0，a）（a＞0），则 E，=（1，1，0），=（0，0，a），=，=0，取 =（1，﹣ 1，0），则∴为平面 PAC的法向量．设 =（x，y，z）为平面 EAC的法向量，则，即，取 =（a，﹣ a，﹣ 4），∵二面角 P﹣AC﹣E 的余弦值为，∴===，解得a=4，∴ =（4，﹣ 4，﹣ 4），=（ 1， 1，﹣ 4）．设直线PA与平面EAC所成角为θ，则sinθ=||===，∴直线 PA与平面 EAC所成角的正弦值为．20．【考点】椭圆的简单性质．【解答】解：（I ）由题意知 e= =，a2﹣b2=c2，即又，可得 a2=4， b2=3，即有椭圆的方程为+=1；（I I ）设 A（x1，y1），B（x2，y2），则，因为以 PQ为直径的圆经过坐标原点，因此，即，由得（ 3+4k2） x2+8kmx+4（m2﹣ 3）=0，△=64m2k2﹣16（ 3+4k2）（m2﹣ 3）＞ 0，化为 3+4k2﹣m2＞0．x1+x2=﹣，x1x2=，y1y2=（kx1+m）（ kx2+m）=k2x1x2+km（x1+x2）+m2=k2x1x2+km（ x1+x2）+m2 =k2?+km（﹣）+m2=，代入，即，得：，2m2﹣4k2=3，，O到直线 l 的距离为，△ABO的面积为，把 2m2﹣4k2=3 代入上式得．21．已知函数 f （x）=lnx ﹣x2+ax，（1）当 x∈（ 1，+∞）时，函数 f （x）为递减函数，求 a 的取值范围；（2）设 f' （x）是函数 f （x）的导函数， x1，x2 是函数 f （ x）的两个零点，且 x1＜ x2，求证（3）证明当 n≥2 时，．【考点】利用导数研究函数的单调性；利用导数求闭区间上函数的最值．【解答】（1）解：∵ x∈（ 1，+∞）时，函数 f （ x）为递减函数，∴f′（ x） = ﹣2x+a≤0 在（ 1，+∞）恒建立，即 a≤ 2x﹣恒建立，而 y=2x﹣在（1，+∞）递加，故 2x﹣＞ 1，故 a≤ 1；（2）证明：∵ f （x）的图象与 x 轴交于两个不同样的点A（x1， 0），B（x2，0），∴方程 lnx ﹣x2+ax=0 的两个根为 x1，x2，则 lnx1 ﹣+ax1=0，①， lnx2 ﹣+ax2=0，②，两式相减得 a=（x1+x2）﹣，又 f （ x）=lnx ﹣x2+ax，f ′（ x）= ﹣2x+a，则 f ′（）=﹣（x1+x2）+a=﹣，要证﹣＜0，即证明＞ln，令 t= ，∵ 0＜x1＜x2，∴ 0＜ t ＜ 1，即证明 u（t ）=+lnt ＜ 0 在 0＜t ＜1 上恒建立，∵u′（ t ） =，又 0＜ t ＜1，∴ u' （t ）＞ 0，∴u（t ）在（ 0， 1）上是增函数，则u（t ）＜ u（1）=0，从而知﹣＜0，故 f ′（）＜0建立；（3）明：令 a=1，由（ 1）得： f （x）在（ 1， +∞）减，∴f（x）=lnx x2+x≤f （1）=0，故 lnx≤x2 x，x＞1 ，＞，分令 x=2，3，4，5，⋯ n，故++⋯+＞++⋯+=1，∴++⋯+＞1，即左＞ 1＞1，得．[ 坐系与参数方程 ]22．（1）直 l M且与曲 C 相切，求直 l 的极坐方程；（2）点 N 与点 M关于 y 称，求曲 C上的点到点 N的距离的取范．【考点】参数方程化成一般方程；曲的极坐方程．【剖析】（ 1）直 l 的方程 y=k（ x 2） +2，曲 C的一般方程立消元，令判式等于0 求出 k，得出直角坐方程，再化极坐方程；（2）求出 N 到心的距离，即可得出最．【解答】解：（1）M 的直角坐（ 2， 2），曲 C 的一般方程（ x 1）2+y2=4．直 l 的方程 y=k（x 2）+2，立方程得（ 1+k2）x2+（ 4k 4k2 2） x+4k2 8k+1=0，∵直 l 与曲 C 相切，∴（ 4k 4k2 2）2 4（ 1+k2）（4k2 8k+1） =0，解得 k=0 或 k=．∴直 l 的方程 y=2 或 y= （ x 2） +2，即 4x+3y 8=0，∴直 l 的极坐方程ρ sin θ=2 或 4ρcosθ+3ρsin θ 8=0．（2）点 N 的坐 N（ 2， 2），C（1，0）．CN==，C的半径2．高三上学期周考数学理模拟试卷四∴曲线 C 上的点到点 N 的距离最大值为+2，最小值为﹣2．曲线 C 上的点到点 N 的距离的取值范围是 [﹣ 2，+2] ．[ 不等式选讲 ]23．已知 ? x0∈R使得关于 x 的不等式 |x ﹣1| ﹣|x ﹣ 2| ≥t 建立．（Ⅰ）求满足条件的实数t 会集 T；（Ⅱ）若 m＞1，n＞1，且关于 ? t ∈T，不等式 log3m?log3n ≥t 恒建立，试求 m+n的最小值．【考点】绝对值不等式的解法；绝对值三角不等式．【剖析】（Ⅰ）依据绝对值的几何意义求出 t 的范围即可；（Ⅱ）依据级别不等式的性质联合对数函数的性质求出 m+n的最小值即可．【解答】解：（I ）令 f （x）=|x ﹣1| ﹣|x ﹣2| ≥|x ﹣ 1﹣ x+2|=1 ≥t ，∴T=（﹣∞， 1] ；（Ⅱ）由（ I ）知，关于 ? t ∈T，不等式?≥ t恒建立，只需?≥tmax，因此?≥1，又因为 m＞1，n＞1，因此＞0，＞0，又 1≤?≤=（=时取“ =”），因此≥4，因此≥2，mn≥9，因此 m+n≥2≥6，即 m+n的最小值为 6（此时 m=n=3）．。
国家公共英语(四级)笔试模拟试卷344(题后含答案及解析)
国家公共英语（四级）笔试模拟试卷344(题后含答案及解析)题型有：1. Listening Comprehension 2. Use of English 3. Reading Comprehension 4. WritingSection I Listening Comprehension (30 minutes)Directions: This section is designed to test your ability to understand spoken English. You will hear a selection of recorded materials and you must answer the questions that accompany them. There are THREE parts in this section, Part A, Part B and Part C. Remember, while you are doing the test, you should first put down your answers in your test booklet. At the end of the listening comprehension section, you will have 5 minutes to transfe PART ADirections: For Questions 1-5, you will hear a conversation. While you listen, fill out the table with the information you have heard. Some of the information has been given to you in the table. Write only 1 word in each numbered box. You will hear the recording twice. You now have 25 seconds to read the table below.听力原文：Shakespeare was born in 1564. He probably studied Latin in the village school, and his plays show that he had read widely the books in his day, but we know little of his education. He left his hometown in 1586 and in 1592 he was well known in London as an actor and a dramatist. In the next few years he published two poems, and by this time he was also writing some famous poems. His life seems to have lacked the adventure found in the careers of many Elizabethans and indeed in those of some of his early dramatists. He early became a member of one of the leading dramatic companies and he continued a shareholder in its profits until his death. Shakespeare’ s plays were popular both in the theatre and at court, but less than half were printed. It was only late in his career that man began to realize that his successful and interesting dramas were to be a part of the world’s great literature. Shakespeare did not appear as an actor after 1603, but he continued writing plays for nearly ten years more, when he was retired to his hometown, where he died in 1616.1．正确答案：15642．正确答案：hometown3．正确答案：15924．正确答案：retired5．正确答案：1616PART BDirections: For Questions 6-10, you will hear a passage. Use not more than 3 words for each answer. You will hear the recording twice. You now have 25 seconds to read the sentences and the questions below.听力原文：M: Hello, Peggy. Why are you going through all those newspapers?W: Oh, David. I’m trying to find a flat and I’ve got to go through all these advertisements. I just can’t find anything good.M: Are you wanting to share or do you want a flat on your own?W: Well, you know Sara and Mary? I’ d really like to share with them.M: Well, I know of an empty flat. I don’t know if you’ d like it. It is on the No. 10 bus route in Woodsite Road No. 12, I think it is.W: Oh, I know Woodside Road and the bus is the one that brings me to work. It would be a marvelous place. How many rooms has it got?M: Well, it’ s got kitchen and bathroom. Um, apart from that I think it’s got two bedrooms.W: Mm, well, I suppose two of us could share. How much is the rent?M: I think they want $ 21 a week for it.W: Oh, that’ s fine, that would be $ 7 each. I don’t really want to spend more than $ 7. M: No, but you see the trouble is it might be a bit noisy. Woodside Road is really quite busy. It’ s on the bus route after all. With all that traffic going past I don’t know if you’ d really like it. W: Oh, that doesn’t matter, we’ d be out all day. It’ s marvelous to be on the bus route, we wouldn’ t have to walk at all and we’ d get to work so quickly. Oh thanks so much, David. I must go and tell Sara and Mary. M: Well, I hope it’ s what you want. W: Oh yes, thanks a lot. M: That’ s all right.6．正确答案：two other girls/Sara and Mary7．正确答案：two8．正确答案：$79．正确答案：No. 10 bus10．正确答案：quite noisyPART CDirections: You will hear three dialogues or monologues. Before listening to each one, you will have 5 seconds to read each of the questions which accompany it. While listening, answer each question by choosing A, B, C or D. After listening, you will have 10 seconds to check your answer to each question. You will hear each piece ONLY ONCE.听力原文：Mark Twain, who wrote the story we are going to read, travelled quite a lot, often because circumstances, usually financial circumstances forced him to. He was born in Florida Missouri in 1835, and moved to Hannibal Missouri with his family when he was about four years old. Most people think he was born in Hannibal, but that wasn’ t true. After his father died when he was about 12, Twain worked in Hannibal for a while and then left so that he could earn more money. He worked for a while as a type-setter on various newspapers and then got a job as a river pilot on the Mississippi. Twain loved his job and many of his books showed it. The river job didn’t last, however, because of the outbreak of the Civil War. Twain was in the Confederal Army for just two weeks and then he and his whole company went to West to get away from the war and the army. In Nevada and California, Twain prospected for silver and gold without much luck but did succeed as a writer. When that happened, Twain travelled around the country, giving lectures and earning enough money to go to Europe. Twain didn’t travel much the last ten years of his life and he didn’t publish much either. Somehow, his travels, even when forced, inspired his writings. Like many other popular writers, Twain derived much of the materials for his writing from the wealth and diversity of his own personal experiences.11．When was Twain bom?A．1865.B．1825.C．1835D．1845正确答案：C12．What job did Twain get on the Mississippi?A．Type-setter.B．Writer.C．River pilot.D．Reporter.正确答案：C13．Why did Twain go to West?A．To prospect for silver and gold.B．To get away from the war and the army.C．Because of the outbreak of the Civil War.D．To travel.正确答案：B听力原文：Here in Switzerland you get a bachelor’ s degree in two years and three years later a master’ s. Usually, people stop at a master’ s, but if you want to go on for a Ph. D. , that takes another four years. Most people stay in one subject, so you need to decide the direction you want to take after high school. There are required core courses for bachelor’s and master’s programs. My university is a technical university, so the core courses are the same for everybody—computer science, mathematics, physics, mechanics and so on. For students specializing in computer science, there is another set of required courses that we call basic computer science. Completing these takes two years. At that point, you can choose a specialty in one of the four areas—system software, information technology, hardware or theoretical computer science. For students doing Ph. D. , the program is mostly fixed in the first four semesters. During the next two years, you can choose up to 90 percent of what you want to study. There’s a booklet of about 50 courses from which to choose. I think computer science education in Switzerland is particularly good in that it is quite wide-ranging, from theoretical computer science and mathematical computer science to databases and computer systems. It’ s possible that there’ s more emphasis in the U. S. on applied Information Technology because in America, there are more grants available for basic research at the Ph. D. level from the companies or the U. S. government. This is not the case here. We normally get our money from the state, and we are restricted to applied research.14．How long does a master’ s degree take in Switzerland?A．One year.B．Two years.C．Three years.D．Four years.正确答案：C15．Who has to choose from a booklet of fifty courses for study?A．Students specializing in computer science.B．Students studying for a bachelor’ s degree.C．Students doing Ph. D.D．Students studying for a master’ s degree.正确答案：C16．Why does the speaker think the computer science education in Switzerlandis particularly good?A．Because it is quite wide-ranging.B．Because there’ s more emphasis on applied Information Technology.C．Because there are more grants available.D．Because students can get money from the state.正确答案：A听力原文：Before a new plane goes into service, every part of it is tested again and again. But there are two tests that are more important than all the others. In , the first test, a modern airliner must fly at very high altitudes. Air must be pushed into the airliner so that the passengers can breathe. The metal structure of the plane has to be very strong for this reason. When the airliner is filled with air, the air presses against the skin of the plane inside. The pressure on a small window, for instance, is like a huge, giant foot that is trying to get out. If a small part of the plane were to crack, the plane would explode in the sky. It is lowered into a huge tank of water to test the structrue of the plane. Then it is filled with air. The pressure inside the plane is greater than it ever will be when it is in the air. Finally, there is an explosion. Engineers can discover which part of the plane has cracked. In the second test, the test pilot must find out exactly what happens when all the engines are shut off at once. He takes the plane up very high. Then he shuts the engines off, the plane begins to fall like a stone. It is the pilot’s job to find out how he can control the plane again. These two tests are examples of how planes are made safe before they ever carry passengers.17．What’ s the main topic of this passage?A．It’ s about the tests of a new airliner before its flying.B．It’ s about how to protect a new airliner.C．It’ s about how to train a new pilot.D．It’ s about what the airliner engineers should do.正确答案：A18．Why air must be pumped into the plane?A．Because without air the plane can’t fly.B．Because the plane needs air for its fuel.C．Because the passengers’ lives depend on air.D．Because the passengers have paid for it.正确答案：C19．What would happen if a small part of the plane were to crack?A．The plane would not go forward.B．The plane would explode.C．The plane would fall down.D．The plane would fly slowly.正确答案：B20．For what purpose does the pilot shut off all the engines?A．To find out exactly what happens.B．To save fuel.C．To fly more slowly.D．To keep balance.正确答案：ASection II Use of English (15 minutes)Directions: Read the following text. Choose the best word for each numbered blank and mark A, B, C or D on ANSWER SHEET 1.Using a public telephone may well be one of the minor irritations of life, demanding patience, determination and a strong possibility of failure together on occasion with considerable unpopularity. The hopeful【C1】______(shall we call him George?) waits till six o’ clock in the evening to take【C2】______of the so-called “cheap rates” for a long distance call. The telephone box, with two broken panes of glass in the side, stands at the【C3】______of two main roads with buses, lorries and cars roaring past. It is pouring with rain as George【C4】______a queue of four depressed-looking people. Time passes slowly and seems to come to a standstill【C5】______the person immediately before George【C6】______on an endless conversation, pausing only to insert another coin every minute or so. Eventually the receiver is replaced and the caller leaves the【C7】______. George enters and picks up one of the directories inside, only to discover that someone unknown has torn out the 【C8】______page he needs. Nothing for it but to dial Directory Enquiries. He waits patiently for a reply (while someone outside【C9】______repeatedly on the door) and finally notes down the number given. At last George can go【C10】______with his call. Just as he is starting to dial, however, the door opens and an unpleasant-looking face peers in with the demand “can’t you hurry up?”. 【C11】______such barbarity, George continues to dial and his unwanted companion withdraws. At last he hears the burr-burr of the ringing【C12】______, immediately followed by rapid pips demanding his money, but he is now so upset that he knocks down the coins he has placed ready on the top of the box. Having at last located them, he dials again the pips are repeated and he hastily inserts the coins. A cold voice【C13】______him, “Grand Hotel, Chalfont Well. ““I’ve an urgent message for a Mr. Smith who is a guest in your hotel. Could you put me through to him? I’m afraid I don’t know his room number. “The response appears less than enthusiastic and a long silence【C14】______. George inserts more coins. Then the voice informs him, “I’ ve been trying to locate Mr. Smith but the hall porter reports having seen him leave about a minute ago.“Breathing heavily, George【C15】______the receiver, just as the knocking on the door starts again.21．【C1】正确答案：caller解析：根据原句中的“．．．the so-called‘cheap rates’for a long distance call．”(…所谓低花费的长途电话。
08-第4周 周周测 (解析版)--备考2021年高考英语能力提升题型小卷天天练周周测
第4周周测卷学校:___________姓名：___________班级：___________考号：___________第二部分阅读理解(共两节,满分40分)第一节(共15小题；每小题2分，满分30分)阅读下列短文，从每题所给的A、B、C和D四个选项中，选出最佳选项。
ABook Your Field Trip to Pacific Science CenterA field trip to Pacific Science Center is a time-honored tradition for students of all ages across Washington State. Our hands-on exhibits, shows, and creative programs inspire students’ curiosity for science in a day of exploration meant to strengthen your curriculum and fuel lifelong enthusiasm for science, math, engineering and technology. Schedule (安排) Your Field TripTo schedule your field trip, complete the registration request form available at the link/field-tripsl/, or call (206) 443-2925 Monday — Friday from 8:30 a.m. to 4:30 p.m. not less than two weeks ahead of your visit date. We will contact you within two business days to set up your field trip. New Fall/winter HoursStarting September 3, 2019 PacSci will be closed on Mondays and Tuesdays except for holidays and weeks during Seattle Public School breaks. We will no longer be booking field trips on those days, as well.PricingOne free adult general admission is covered for every 10 paid students. Free adult admission doesn’t include IMAX documentary. These adults will be charged a $4 IMAX documentary admission. Additional adults outside of the ratio (比例) will be charged the student admission rate. Pacific Science Center Memberships cannot be applied to field trips. Payment is due one week before you visit.Available Experiences■ Planetarium Shows■ IMAX Documentaries■ Science on a Sphere Shows■ Laser Shows21．What can we know about Pacific Science Center?A．It is famous for its typical architecture.B．It offers students chances for free classes.C．It’s where students can learn about science.D．It is only accessible to students in Washington.22．If 2 teachers and 10 students watch exhibits and IMAX Documentaries, how much will they at least pay? A．$118.B．$125.C．$127.D．$134.23．When can we reserve a field trip by phone?A．On weekends.B．Any Monday or Tuesday.C．Two workdays ahead of the visit time.D．At least 14 days before the actual visit.【答案】21．C22．B23．D【解析】这是一篇说明文。
2021年高三数学上学期周考(四)试题 理
2021年高三数学上学期周考（四）试题理本试卷共22小题，满分150分。
考试用时120分钟。
一、选择题：本大题共10小题，每小题5分，满分50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. ( )A．B．C．D．2. 设，，，记，，则＝( )A. ;B.;C. ;D.3. 与向量a=的夹解相等，且模为1的向量是(A) (B) 或（C）（D）或4. 某校为了了解学生的课外阅读情况，随即调查了50名学生，得到他们在某一天各自课外阅读所用时间的数据，结果用右侧的条形图表示。
根据条形图可得这50名学生这一天平均每人的课外阅读时间为（）。
A. 0.6 小时B. 0.9 小时C. 1.0 小时D. 1.5 小时5. 数列中，,且，则( )6. 定义在R上的偶函数满足：对任意的，有.则(A) (B)(C) (D)7. 如图，已知、，从点射出的光线经直线反向后再射到直线上，最后经直线反射后又回到点，则光线所经过的路程是A ．B ．C ．D ．8. 一台机床有的时间加工零件A, 其余时间加工零件B, 加工A 时,停机的概率是,加工B 时,停机的概率是, 则这台机床停机的概率为( )A. 3011B. 307C. 107D. 1019．若多项式，则（ ）A ．9B ．10C ． -9D ． -1010. 若点在以A(-3,1),B(-1,0),C(-2,0)为顶点的△ABC 的内部运动(不包含边界),则的取值范围（ ）。
A. B. C. D.二、填空题：本大题共6小题，考生作答5小题，每小题5分，满分25分． （一）必做题（11～13题） 11. 设 则=____________ 12. 已知为m 实数，直线：（2m+1）x+（1-m ）y-（4m+5）=0， P （7，0），求点P 到直线的距离d 的取值范围是____________13. 已知，右边程序框图表示的是给定的值，求其函数值的算法.请将该程序框图补充完整.其中①处应填，②处应填 .（二）选做题（14 ~ 16题，考生只能从中选做两题）14．（坐标系与参数方程选做题）已知曲线的极坐标方程分别为，，则曲线与交点的极坐标为．15. （不等式选讲选做题）已知则的最小值是．16. (几何证明选讲选做题）已知C点在圆O直径BE的延长线上，CA切圆O于A点， DC是∠ACB的平分线交AE于点F，交AB于D点.则的度数为三、解答题：本大题共6小题，满分80分．解答须写出文字说明、证明过程和演算步骤，17．(本小题满分12分）已知函数的周期为.（1）当时，求的取值范围；（2）求函数的单调递减区间.18. (本小题满分12分）某学生在上学路上要经过4个路口，假设在各路口是否遇到红灯是相互独立的，遇到红灯的概率都是，遇到红灯时停留的时间都是2min.（Ⅰ）求这名学生在上学路上到第三个路口时首次遇到红灯的概率；（Ⅱ）求这名学生在上学路上因遇到红灯停留的总时间的分布列及期望.19. (本小题满分12分）如图，三棱锥P—ABC中， PC平面ABC，PC=AC=2，AB=BC，D是PB上一点，且CD平面PAB．(I) 求证：AB平面PCB；(II) 求异面直线AP与BC所成角的大小；（III）求二面角C-PA-B的大小的余弦值．20. (本小题满分13分）已知定义在R上的函数是实数.（Ⅰ）若函数在区间上都是增函数，在区间（－1，3）上是减函数，并且求函数的表达式；（Ⅱ）若，求证：函数是单调函数．21. (本小题满分13分）已知在数列中，，其中，是函数的一个极值点.(1)求数列的通项公式；(2)若，，求证：.22. (本小题满分13分）已知圆C:.(1)直线过点P(1,2)，且与圆C交于A、B两点，若，求直线的方程；(2)过圆C上一动点M作平行于y轴的直线m，设m与x轴的交点为N，若向量，求动点的轨迹方程.(3) 若点R(1,0)，在（2）的条件下，求的最小值.模拟题（四）参考答案及详细解析1-10 CABBB AAADD 11. 12. 13. 14. 15. 16. 45° 一、选择题 1.答案：C 【解析】， 故选C 2.答案：A【解析】依题意得，，所以， ，故应选A3.答案：B【解析】与向量的夹角相等，且模为1的向量为(x ，y)，则，解得或，选B. 4.答案：B【解析】50名学生阅读总时间为45，平均阅读时间0.9小时 5.答案：B【解析】由，得， ，6.答案：A【解析】由等价，于则在上单调递增, 又是偶函数,故在单调递减.且满足时, , ,得,故选A.7.答案：A利用对称知识，将折线的长度转化为折线的长度设点关于直线的对称点为，关于轴的对称点为，则光线所经过的路程的长8.答案：A【解析】机床停机的概率就是A ，B 两种零件都不能加工的概率，即31×103＋32×52=3011. 9. 答案：D 【解析】所以 10.D【解析】可看成过点与三角形内点的斜率的范围，又斜率最大为，最小为，因不含边界，所以选D 。
2018秋季初一周练试卷（四）试题及答案解析
2018秋季初⼀周练试卷（四）试题及答案解析2018秋季初⼀周练试卷(四）II. 知识运⽤（两部分，共20⼩题，计20分）第⼀节单项填空从A、B、C三个选项中选出最佳答案填空。
（共10⼩题，计10分）21. There is _______ “u” and _______ “m” in the word “umbrella”.A. a; anB. an; aC. an; an解析A 考查冠词。
an⽤于元⾳⾳素前，a⽤于辅⾳⾳素前，字母u，m的发⾳分别为/ju:/，/em/选A。
22. --Do you have a notebook?-- _______.A. Yes, I haveB. Yes, I doC. No, I am not解析B 考查⼀般疑问句的回答。
⼀般疑问句⽤什么问⽤什么答，do来问do来答，选B。
23. --Are those _______ pencils?--No, they are _______.A. your; meB. his; herC. her; mine解析C 考查⼈称代词。
第⼀空后有名词pencils，⽤形物代；第⼆空后⽆名词，⽤名物代，选C。
24. My name is Jack Jones. So my sister name is _______.A. Jones billB. Nick JonesC. Mary Jones解析C 考查⽂化常识。
“我叫Jack Jones，因此我的妹妹叫…”，Jones是姓，排除A选项。
妹妹是⼥孩⼦，B选项Nick是男孩⼦名字，选C。
25. --_______?--B-A-S-E-B-A-L-L.A. How do you spell itB. Can you spell itC. Is this your baseball解析A 考查疑问句的回答。
B，C选项都是⼀般疑问句，回答要⽤Yes/No，均排除，选A。
26. Let’s _______ tennis after school.A. playB. playingC. plays解析A 考查动词搭配。
2021年高三上学期第四次周练英语试题含答案
2021年高三上学期第四次周练英语试题含答案本试卷分为第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。
考试结束后，将答题卡收回。
第I卷（选择题，共100分）第一部分听力(共两节，满分30分)做题时，先将答案标在试卷上。
录音内容结束后，你将有两分钟的时间将试卷上的答案转涂到答题卡上。
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 will the man probably do?A.Help the woman paint her car.B.Buy the woman’s car.C.Get a new car.2.Where does the conversation probably take place?A.In a bookstore.B.In a classroom.C.In a library.3.Why is the man leaving early?A.He isn’t interested in the movie.B.He wants to avoid a traffic jam.C.He doesn’t know the way to the theater.4.What is the man dissatisfied with about his job?A. The salary.B.The hours.C.The location.5.What does the woman imply?A.The sweater looks terrible.B.It’s cool in the lecture hall.C.The weather is heavily polluted today.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。
第三次周考试卷
高2015级1班政治周考试卷一、选择题(每小题3分，共48分)1、2013年4月23日是第18个“世界读书日”主题“阅读，让我们的世界更丰富”。
书籍是人类知识和文化的载体。
读书决定着一个人的修养和境界，关系着一个民族的素质和力量，影响着一个国家的前途和命运。
这是因为( )①文化是社会实践的产物，精神产品离不开物质载体②世界观、人生观、价值观是人们文化素养的核心和标志③文化能够在人们认识世界、改造世界的过程中转化为物质力量④文化能够反作用于经济、政治，是综合国力竞争中的重要因素A.①②B．①③C．②③D．③④2、在生命的长河中，总有一段经历让你终生难忘；总有一份情感让你刻骨铭心；总有一种理想让你永不放弃；总有一种力量让你奋然前行。
这说明（）①文化对人的影响是潜移默化的②文化对人的影响是深远持久的③文化深深地影响着人们的实践活动和思维方式④文化深深地影响着人的世界观、人生观和价值观A．①② B. ①③④ C. ①②③④ D. ③④3、某制鞋公司成立初期收集了300多件上至先秦下迄民国、不同时期不同民族的具有代表性的鞋，认真研究“张良跪履”“谢公屐”等典故所代表的文化经典，然后把鞋与民俗、鞋与小说、鞋与民间美术、鞋与文学等结合起来，制作出独具特色的文化鞋。
从“鞋文化”到“文化鞋”说明( )A．对待传统文化，首先是继承，其次是发展B．继承是发展的必要前提，发展是继承的必然要求C．每个人都应该根据自己的需要对传统文化采取不同的态度D．新的文化形态取代旧的文化形态，就是在继承的基础上发展4、植根于农耕文明的天津杨柳青年画，它继承了宋、元绘画的传统，吸收了明代木刻版藏、工艺美术、戏剧舞台的形式，采用木版套印和手工彩绘相结合的方法，创立了鲜明活泼、喜气吉祥、富有感人题材的独特风格，为广大群众喜闻乐见。
材料表明( )①文化创新离不开对传统文化的继承②社会实践是文化创新的源泉③文化在交流借鉴中融为一体④传统文化为人民大众喜闻乐见A．①② B. ①③④ C. ①②③④ D.③④5、“红色经典”作为特定时代的产物，以强烈的革命英雄主义和理想主义精神、社会主义优越感和民族自豪感，塑造了一种乐观向上的社会生活气氛，培养了一代又一代人的英雄主义情怀。
四月英语每周好题精选(第3周)附答案
四月英语每周好题精选（第3周）一、San Francisco Fire Engine ToursSan Francisco Winery TourRunning: February 1st through April 30thThis delicious tour goes through the city on its way to Treasure Island where we will stop at the famous Winery SF. Here you can enjoy 4 pours of some of the best wine San Francisco has to offer.(Included in tickets price)Departing from the Cannery: Tell time upon request.Duration(时长):2 hoursPrice: $90Back to the Fifties TourRunning: August 16th through August 31stThis tour transports you back in time to one of San Francisco's most fantastic periods, the 1950s! Enjoy fun history as we take you through San Francisco for a free taste of ice cream.Departing form the Cannery 5:00 pm and 7:00 pmDuration:2 hoursPrice:$90Spooky Halloween TourRunning: October 10th through October 31stJoin us for a ride through the historical Presidio district .Authentic fire gear (服装)is provided for your warmth as our entertainers take you to some of the most thrilling parts of San Francisco Departing from the Cannery:6:30 pm and 8:30 pmDuration: 1 hour and 30 minutesPrice: Available upon requestHoliday Lights TourRunning: December 6th through December 23ndThis tractive four takes you to some of San Francis's most cheerful holiday scenes. Authentic fire gear is provided for your warmth as you get into the holiday spirit.Departing from the Cannery 7:00 pm and 9:00 pmDuration: I hour and 30 minutesAdvance reservations required.1. Which of the tours is available in March?A. San Francisco Winery Tour.B. Back to the Fifties Tour.C. Spooky Hallowen Tour.D. Holiday Lights Tour.2. What can tourists do on Back to the Fifties Tours?A. Go to Treasure Island.B. Enjoy the holiday scenes.C. Have free ice cream.D. Visit the Presidio district.3. What are tourists required to do to go on Holiday Lights Tour?A. Take some drinks.B. Set off early in the morning.C. Wear warm clothes.D. Make reservations in advance.二、After nearly 70 years of space exploration, Earth is now surrounded by space junk. Recently, an accident made the cleanup more difficult to start.According to the European Space Agency (ESA), scientists plan on testing their "junk truck", ClearSpace-1, in 2025. It's a spacecraft with four arms that can catch debris (碎片) and bring it back to Earth. They have chosen to bring back VESPA, a 113-kilogram, two-meter-wide rocket part. However, in August, it was hit by another piece of space junk, creating new pieces. The ESA is now revising its cleanup plan.Most satellites today are sent into Earth's low orbit, which reaches up to around 2,000 kilometers above the Earth. There, spacecraft are most likely to crash with each other. There may be as many as 170 million pieces of space junk in orbit. Big or small, any of the pieces can cause harm to a spacecraft.In terms of the cleanup, scientists have some other ideas. One popular plan is to equip a spacecraft with harpoons (叉) and magnets (磁铁). The craft would shoot the harpoon to stick into the debris before "throwing" it back to Earth. Magnets could move the debris, changing its direction. The debris would burn after entering Earth's atmosphere so there wouldn't be much left when it reaches Earth. Scientists are also considering shooting lasers (激光) from spacecraft to heat up the debris' surface, creating a small push that would change the debris' orbit. This change would allow the debris to be caught by Earth's gravity.Space junk can be very dangerous, and space agencies around the world are testing and planning the cleanup. But why haven't they done anything yet? One reason is the expense.It would take between $4, 000 and $60, 000 per kilogram to catch one piece of debris larger than 10 cm. And around $300 million is needed to develop the laser technology.1. What's the mission of ClearSpace-1?A. To mark Earth's low orbit.B. To monitor space debris.C. To study the harm of space junk.D. To bring VESPA back to Earth.2. How do lasers work in cleaning up space debris?A. By burning it up in space.B. By pushing it into deeper space.C. By moving it towards a spacecraft.D. By redirecting it into the atmosphere.3. What's a disadvantage of the cleanup according to the last two paragraphs?A. It's complex.B. It's risky.C. It's costly.D. It's changeable.4. What might be a suitable title?A. Escaping from Crowded SpaceB. Looking for Ways to Clean up SpaceC. Dangerous Space DebrisD. Exceptional Space Exploration三、"Running is so natural—it's something we've been doing for thousands of years, and it's something very enjoyable." The words of Tao Geoghegan Hart, a professional (专业的) cyclist. As an ambassador (大使) for The Daily Mile, a movement that calls for one simple thing—15 minutes of daily exercise, where children run, walk, jog or skip one mile—he encourages any form of exercise and movement.Geoghegan Hart sees schools as key to setting young people up for life with good sporting habits. "When you're school age, sport can encourage you and take hold of you and change you more than at any other age," he explains. "Yes, we all go on journeys with sport, but when you look back at those journeys, they start with your childhood."One big attraction of taking part in The Daily Mile is that it is a cost-free way in which schools can encourage regular exercise. Geoghegan Hart says he hopes The Daily Mile will encourage children to try and be more active in the future. "Something as simple as The Daily Mile can lead to much more," he says.At Cowley Hill Primary School, head teacher Louise Thomas says that they've found the movement has had a great positive influence upon the lives of their learners. Charlie Honour, year-5 teacher and PE subject leader at St Peter's School, says that although the activity takes place out on the field, it has classroom benefits (效益,受益), too. "I find that the children are more willing to complete class work," says Honour. "I think it is because they know they will soon be outside and getting some fresh air."1. What can be learned about The Daily Mile from paragraph 1?A. It is a sports club.B. It is a cycling race.C. It is a call for exercise.D. It is a plan for running tests.2. Why does Geoghegan Hart want children for The Daily Mile?A. They are easily encouraged.B. They are more likely to benefit.C. They have more time for sports.D. They have teachers to coach them.3. What does Geoghegan Hart expect of The Daily Mile?A. It'll attract more schools to it.B. It'll start more similar projects.C. It'll get more support from the government.D. It'll push children to lead a more active life.4. What do the two teachers' words show about The Daily Mile?A. Its influence on students.B. Its influence on teachers.C. Its differences among schools.D. Its differences among players.四、As it is said in the book: How to Be Interesting, it's not difficult to make yourself interesting at a dinner party.The first step is to go exploring, if you're out of your comfort zone or if you're wandering into somebody's house for the first time. ①______, trying different foods and talking to strangers.②______. If you can start the conversation with a question other than "What's the weather like?", you'll be able to get a lot more interesting conversation out of whomever it is you're talking to. If you ask the question "How did you get here?", it can bring in "I have this old, broken-down vehicle" or "I rode the bus with these crazy people who were laughing at silly jokes in the back." It just opens up conversation.③______ If you can't take their wine away, you should certainly try to take away their soapbox(讲台). If you're the host, you can ask them to help you in the kitchen with something and just remove them from the situation. ④______.And what about that other dinner-party killer: awkward silence? If you're faced with an awkward silence at a dinner party, the only thing that always gets everyone talking again is to give the host a compliment(赞扬). ⑤______. Just quickly turn around and say, "This cake is extremely delicious and you have to tell me all about it."So being interesting at a dinner party isn't that hard.A. People love to talk about themselvesB. The second step is to ask questionsC. What can you do to stop your friends from drinking all the time in dinnerD. Or turn the conversation into a topic where they have little to sayE. So the main thing is just to show up and be adventurousF. What about that person who had too much drink or won't stop talking?G. He or she is the person who is feeling the weight of that awkwardness the most五、Have you seen people who take pictures of food for more than 10 minutes before eating? My friend Stella is such an example. Every time we went to a restaurant she would not take a bite until allit—it all went cold, actually Stella's real life is much less elegant. For example, she hates to wash the dishes, so she leaves them in the sink for days.1.A. ordered B. served C. offered D. prepared2.A. cooking B. washing C. setting D. collecting3.A. messy B. arranged C. casual D. missed4.A. dishes B. restaurants C. tables D. pictures5.A. chance B. choice C. excuse D. reason6.A. comfort B. please C. inspire D. discourage7.A. independent B. generous C. responsible D. confident8.A. real B. secret C. peaceful D. healthy9.A. rarely B. hardly C. exactly D. nearly10.A. difficulty B. change C. guidance D. harm11.A. question B. dislike C. doubt D. follow12.A. effort B. ambitions C. feeling D. money13.A. other than B. more than C. rather than D. less than14.A. identifying B. accepting C. persuading D. amusing15.A. simplifying B. ruining C. beautifying D. worsening六、Ocean Park Hong Kong is one of Hong Kong's greatest tourist ①________(attract). Because thepark isn't run for profit, it is much more suitable for education and wildlife conservation research. And ②________(compare) with other theme parks, it takes better care of the animals. In addition, you will find prices there fairly reasonable considering the size and the quality. Therefore, since its opening, the park③ ________(draw) a large number of visitors.④________(cover) about a square kilometer on the southern side of Hong Kong Island, the theme park is conveniently close to downtown. As the park attracts large crowds every day, try to be there ⑤________ the park opens at 10 in the morning and avoid the busy holidays and weekends. It is also recommended that tickets ⑥________(buy) online in advance.Hong Kong is ⑦________ unique city in the world where you can buy one card to pay for public transport and all your purchases. The card is available at the ticket windows of any subway station in Hong Kong, ⑧________ which then you can pay for things in the park. And you can add money as you wish and have ⑨________ returned to a station window for the remaining money back.Wish you an ⑩__________(enjoy) day in Hong Kong's most popular theme park.七、While the Internet has guaranteed the place of English as the most used language, Chinese still holds the top position as the most used mother tongue. Since Shang dynasty, Chinese people ①______ (use) a complete system of characters. One of the great advantages of using one single writing system is that people ②______ speak different dialects can understand each other's writing. Therefore, communication can go on ③______ many troubles. People in Hong Kong, Macao and Taiwan still write traditional Chinese characters, while people on China's mainland use ④______ (simplify) Chinese characters, but it does not pose much ⑤______ (difficult) in recognizing the characters. Some scholars believe that Chinese characters are one of the important ⑥______ (factor) that keep South and North China unbroken for ⑦______ very long time. Some scholars even consider Chinese characters ⑧______ (be) the Fifth Great Invention of Ancient China, alongside the other Four Great Inventions, which are paper, the compass, gunpowder and movable typography (活版印刷术). Though pronunciation marks are ⑨______ (slight) different, Chinese characters ⑩______ (adopt) in other languages in ancient time, which indicates China`s cultural influence on these countries since ancient times, especially during the Tang(618—907) and the Song(960—1279) dynasties.八、假定你是校学生会主席，你们市下周日将要举行王羲之书法艺术展，请你向校英文报写一则书面通知，号召大家观看展览，内容包括：1. 王羲之及其代表作；2. 展出时间地点和内容；3. 参展注意事项。
新教材高考英语总复习考案4周测综合能力检测三
考案(四) 周测综合能力检测三第一部分听力(共两节，满分30分)第一节听下面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。
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 will the woman probably do tomorrow？_A__A．Attend a party. B．Study for the exam.C．Play volleyball.2．Where does the conversation take place？_C__A．In a store. B．In a restaurant.C．In a hotel.3．What are the speakers mainly talking about？_B__A．A dog.B．The woman's hairstyle.C．The colors of their hair.4．Why does the woman live in the country？_B__A．She works there.B．She loves the scenery.C．She thinks it convenient.5．What does the man think of the new drug？_A__A．Ineffective. B．Useful.C．Successful.第二节听下面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。
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，各小题将给出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、7题。
6．When will the man's math class begin？_B__A．At 900. B．At 1100.C．At 230.7．Why does the woman look worried？_C__A．She missed her math class.B．She left her math book at home.C．She didn't prepare for the math test.听第7段材料，回答第8、9题。
2020_2021学年高中数学1.4周练卷3习题含解析新人教A版必修4
周练卷(三)一、选择题(每小题5分，共35分)1．函数y ＝2cos ⎝⎛⎭⎫－x ＋π2的最小正周期是( C ) A.π2 B.π4 C ．2πD ．π解析：函数y ＝2cos ⎝⎛⎭⎫－x ＋π2＝2sin x ， ∴函数的最小正周期是2π.2．下列函数中，最小正周期为π的奇函数是( B ) A ．y ＝sin(2x ＋π2)B ．y ＝cos(2x ＋π2)C ．y ＝2sin(2x ＋π4)D ．y ＝2sin(x ＋π4)解析：y ＝sin(2x ＋π2)＝cos2x 是周期为π的偶函数，y ＝cos(2x ＋π2)＝－sin2x 是周期为π的奇函数，y ＝2sin(2x ＋π4)是周期为π的非奇非偶函数，y ＝2sin(x ＋π4)是周期为2π的非奇非偶函数．故选B.3．函数f (x )＝sin(2x ＋π3)的图象的一条对称轴方程为( A )A ．x ＝π12B ．x ＝5π12C ．x ＝π3D ．x ＝π6解析：令2x ＋π3＝k π＋π2，得x ＝k π2＋π12，k ∈Z ，当k ＝0时，x ＝π12，故选A.4．函数f (x )＝sin(2x －π4)在区间[0，π2]上的最小值为( B )A ．－1B ．－22C.22D ．0解析：由x ∈[0，π2]得2x －π4∈[－π4，3π4]，所以sin(2x －π4)∈[－22，1]，故函数f (x )＝sin(2x－π4)在区间[0，π2]上的最小值为－22.5．若函数y ＝sin(x ＋φ)(0≤φ≤π)是R 上的偶函数，则φ等于( C ) A ．0 B.π4 C.π2D ．π解析：因为y ＝sin x 的图象的对称轴为x ＝π2＋k π，k ∈Z ，所以函数y ＝sin(x ＋φ)的图象的对称轴应满足x ＋φ＝π2＋k π，k ∈Z .又y ＝sin(x ＋φ)是偶函数，所以x ＝0是函数图象的一条对称轴，所以φ＝π2＋k π，k ∈Z .又0≤φ≤π，所以当k ＝0时，φ＝π2.6．若函数f (x )＝sin ⎝⎛⎭⎫ωx ＋π6(ω>0)图象的两条相邻的对称轴之间的距离为π2，且该函数图象关于点(x 0,0)成中心对称，x 0∈⎣⎡⎦⎤0，π2，则x 0＝( B ) A.π12 B.5π12 C.π6D.π4解析：依题意，T ＝π，所以ω＝2，所以f (x )＝sin ⎝⎛⎭⎫2x ＋π6，令2x ＋π6＝k π，解得x ＝－π12＋k π2(k ∈Z )，因为f (x )＝sin ⎝⎛⎭⎫2x ＋π6的图象关于点(x 0,0)成中心对称，x 0∈[0，π2]，所以x 0＝5π12，选择B.7．若函数f (x )＝sin ωx (ω>0)在区间⎣⎡⎦⎤0，π3上单调递增，在区间⎣⎡⎦⎤π3，π2上单调递减，则ω＝( C )A ．3B ．2 C.32D.23解析：因为当0≤ωx ≤π2时，函数f (x )为增函数，当π2≤ωx ≤π时，函数f (x )为减函数，即当0≤x ≤π2ω时，函数f (x )为增函数，当π2ω≤x ≤πω时，函数f (x )为减函数，所以π2ω＝π3，所以ω＝32.二、填空题(每小题5分，共20分) 8．函数y ＝sin ⎝⎛⎭⎫2x －π3的最小正周期为π. 解析：由sin[2(x ＋π)－π3]＝sin ⎝⎛⎭⎫2x －π3＋2π＝sin ⎝⎛⎭⎫2x －π3，可知函数y ＝sin ⎝⎛⎭⎫2x －π3的最小正周期为π.9．函数y ＝sin x －cos x 的定义域为{x |2k π＋π4≤x ≤2k π＋5π4，k ∈Z }．解析：要使函数式有意义，必须有sin x －cos x ≥0.在同一直角坐标系中画出[0,2π]内y ＝sin x 和y ＝cos x 的图象，如图所示．在[0,2π]内，满足sin x ＝cos x 的x 为π4，5π4，结合正、余弦函数的周期是2π，可得所求定义域为{x |2k π＋π4≤x ≤2k π＋5π4，k ∈Z }．10．当x ∈[π6，7π6]时，函数y ＝3－sin x －2cos 2x 的最小值是78，最大值是2.解析：∵x ∈[π6，7π6]，∴－12≤sin x ≤1，y ＝3－sin x －2cos 2x ＝1－sin x ＋2(1－cos 2x )＝2sin 2x－sin x ＋1＝2⎝⎛⎭⎫sin x －142＋78，当sin x ＝14时，y min ＝78；当sin x ＝1或sin x ＝－12时，y max ＝2. 11．定义在R 上的奇函数f (x )对于任意x ∈R ，有f (x )＝f (2－x )，若tan α＝12，则f (－10sin αcos α)的值为0.解析：∵f (x )是R 上的奇函数，∴f (0)＝0，由f (x )＝f (2－x )，得f (x ＋4)＝f (x )，∴f (x )的最小正周期为4.又∵tan α＝12，∴α为第一或第三象限角．当α为第一象限角时，sin α＝55，cos α＝255，当α为第三象限角时，sin α＝－55，cos α＝－255，∴－10sin α·cos α＝－4，∴f (－10sin αcos α)＝f (－4)＝f (0)＝0.三、解答题(本大题共3小题，共45分．解答应写出文字说明，证明过程或演算步骤) 12．(15分)已知函数f (x )＝sin(2x ＋φ)是奇函数，且0<φ<2π. (1)求φ；(2)求函数f (x )的单调增区间．解：(1)方法一：因为f (x )是奇函数，所以对任意的x 都有f (x )＝－f (－x )，即sin(2x ＋φ)＝－sin(－2x ＋φ)＝sin(2x －φ)，根据正弦函数的图象可得2x ＋φ＝2x －φ＋2k π，即φ＝k π，k ∈Z .根据0<φ<2π，可得φ＝π.方法二：因为函数f (x )是奇函数，则f (0)＝0，即sin φ＝0，所以φ＝k π，k ∈Z .根据0<φ<2π，可得φ＝π.(2)由(1)得f (x )＝sin(2x ＋π)＝－sin2x ，它的单调增区间实质是y ＝sin2x 的单调减区间[k π＋π4，k π＋3π4](k ∈Z )．13．(15分)已知函数f (x )＝2sin(2x ＋π4)＋1.(1)求f (x )的最小正周期；(2)求f (x )在区间[0，π2]上的最大值和最小值．解：(1)因为f (x )＝2sin(2x ＋π4)＋1，所以函数f (x )的最小正周期T ＝2π2＝π.(2)当x ∈[0，π2]时，2x ＋π4∈[π4，5π4]，由正弦函数y ＝sin x 在[π4，5π4]上的图象知，当2x ＋π4＝π2，即x ＝π8时，f (x )取最大值2＋1；当2x ＋π4＝5π4，即x ＝π2时，f (x )取最小值0.综上，f (x )在[0，π2]上的最大值为2＋1，最小值为0.14．(15分)已知函数f (x )＝2sin(2x －π4)．(1)利用“五点法”画出函数在一个周期内的图象；(2)当x ∈[－π2，π8]时，方程f (x )－a ＝0有解，求实数a 的取值范围．解：(1)按五个关键点列表如下：X ＝2x －π40 π2 π 3π2 2π xπ8 3π8 5π8 7π8 9π8 f (x )＝2sin(2x －π4)2－2描点并将它们用光滑的曲线连接起来，如图所示．(2)∵－π2≤x ≤π8，∴－5π4≤2x －π4≤0，∴－1≤sin(2x －π4)≤22，∴－2≤2sin(2x －π4)≤1.方程f (x )－a ＝0有解，即f (x )＝a 有解，故a ∈[－2，1]．。
高三英语四月周考试题(共18页)
HY第四高级中学(gāojízhōngxué)2021届高三英语四月周考试题第一局部听力〔一共两节，满分是30分〕第一节听下面5段对话。
每段对话后有一个小题，从题中所给的A、B、C三个选项里面选出最正确选项，并标在试卷的相应位置。
听完每段对话后，你都有10秒钟的时间是来答复有关小题和阅读下一小题。
每段对话仅读一遍。
例：How much is the shirt?A.￡19.15.B.￡9.15C.￡9.18. 答案是B。
1. What' s the man really interested in?A. The date.B. The barbecue.C. The temperature.2. Where does the conversation probably take place?A. In a restaurant.B. In a hospital.C. In a supermarket.3. How was the woman' s performance in the exam?A. She failed it.B. She just passed it.C. She did very well in it.4. Who does the woman miss?A. Her mother.B. Her friends.C. Her sister.5. What are the speakers mainly talking about?A. Flight to Canada.B. Changes on the plane.C. Fee of checking luggage.第二节〔一共15小题：每一小题1.5分，满分是22.5分〕请听下面5段对话。
每段对话后有几个小题，从题中所给出的A、B、C三个选项种选出最正确选项，并标在试卷的相应位置。
每段对话或者独白仅读两遍。
英语周考(四)试卷.doc
英语周考（四）试卷一、单项选择（每小题2分，共20分）1.The World War II made impossible for Einstein to go on with his research.A.himB. itC. thisD. that2.The new suspension bridge by the famous architect is now.A.designing; under constructionB. designed ; under constructionC. designing ; under the constructionD. designed; under the construction3.People have planted a great many trees in order to wind and sand in the desert.A.hold downB.hold upC.hold backD.hold out4.The temple the Tang period was designed by a painter and a famous architect.A.dating back toB.dating backC.date fromD.date back to5.Mary never dreams of of her to be sent abroad very soon.A.there being a chanceB. there to be a chanceC. there be a chanceD. being a chance6.At last, the headmaster's words the meeting to an end.A.cameB. gaveC. madeD.brought7.The accident him his life. It 3years for his wife to off the debt he left.A.took; spent;payB. cost; spent; takeC. cost; took; payD.spent; cost; take8.Bill suggested a meeting on what to do for the Shanghai Expo during the vacation.A. having heldB. to holdC. holdingD. hold9.The old woman has two sons, one is a teacher.A. of whoB. of whomC. of whichD. of them10.The reason he was late for work was he didn't get up early.A. for, becauseB. which, becauseC. why, thatD. for, that二、完形填空（共20小题；每小题2分，满分40分）Once the king of India was ill and sent for his doctor. The doctor came, 11 him and said, "You will be well soon in a few days if you take a bulFs The king was 12 for he had never heard of a bull that gave milk. "How is it 13 T" he asked.“Order Gulbo to get it for you," answered the doctor. <4He can do anything.,, Gulbo was a person with great knowledge and was a（n）14 to the doctor. So the doctor thought this would be a way of making him 15 . When the king told Gulbo what the doctor said and 16 him to get a bulFs milk, Gulbo 17 understood what the doctor was trying to do.When he got home, he sat thinking how to get out of the 18 . His daughter, seeing him worried, asked what was the 19 . On hearing what the king had asked for, she said, "Don't 20 , Father, I will help you."The next day she took some old clothes, went to the bank of the river near the palace and chose a place 21 the king's bedroom window. In the middle of the night, she started to do her washing. She made 22 much noise that the king could not sleep. The king got very angry and sent a guard to 23 what had happened. The soldier found the girl and led her to the king.“Why do you wash your clothes here at night?" said the king.The girl 24 to be afraid and said, “I had to wash clothes at night. This afternoon my fathe r 25 a baby, I was busy all day because of that. Then I found there were no clean 26 for the baby,so I had to come and wash them now.^,“What!" cried the king. "Are you trying to make a 27 of me?" I have never heard of a man having a baby.,,“Well, if the king himself orders someone to get a bulFs milk for him, 28 can't a man have a baby?"The king smiled and said, "You must be Gulbo's 29 . Go and tell your father that he may keep the bull's milk to his 30 .11. A. checked B. tested C. judged D. examined12. A. pleased B. surprised C. touched D. moved13. A. possible B. impossible C. usual D. unusual14. A. friend B. enemy C. neighbor D. patient15. A. suffer B. happy C. angrily D. excited16. A. begged B. ordered C. decided D.demanded17. A. suddenly B. certainly C. correctly Ddirectly18. A. chance B. situation C. position D. difficult19. A. matter B. wrong C. thing D. problem20. A. frighten B. worry C. doubt D. fear21. A. above B. on C. below D. under22. A. such B. that C. more D. so23. A. find out B. get out C. take out D. bring out24. A. began B.looked C. became D. pretended25. A. gave birth to B. had birthin C. gave birth of D. had birthto26. A. food B. clothes C. bowls D. bottles27. A. trick B. joke C. friend D. fool28. A. why B. how C. who D. what29. A. girl B. daughter C. wife D. friend30. A. daughter B. son C. sister D. baby三、阅读理解（每小题2分，共20分）APlants are very important living things. Life could not go on if there were no plants. This is because plants can make food from air, water and sunlight. Animals and man cannot make food from air, water and sunlight. Animals get their food by eating plants and other animals. Therefore animals and man need plants in order to live. This is why we find that there are so many plants around us.If you look carefully at the plants around you, you will find that there are two kinds of plants: flowering plants and non-flowering plants.Flowering plants can make seeds. The seeds are protected by the fruits. Some fruits have one seed, some have two, three or four, and some have many seeds. But a few fruits have no seeds at all. An example of a fruit without seeds is the banana fruit.Most non-flowering plants do not grow from seeds. They grow from spores（胚芽）.Spores are very small. Some spores are so small and light that they can float in the air. We may say that spores are quite the same as seeds. When these spores are all on wet and shady places, they usually grow into new plants.31.The main idea of the first paragraph is that.A. plants are important for lifeB. plants cannot grow without airC. there are many plants in the worldD. we can not live without water32.Plants can make food from.A. flower, water and airB. water, sunlight and airC. air, water and soilD. air, sun and light33.What can we infer(推断)from the passage ?A.Of all living things animals are most importantB.Spores are seedsC.All fruits of flowering plants have seedsD.Without plants, man will die out34.This passage may be taken from.A. a medicine bookB. a novelC. a science magazineD. an experiment report35.The underlined word “protected" in the third paragraph can be replaced by.A. damagedB. pollutedC. preventedD. guardedBMrs. Blake teaches English in a large school in the inner area of a big city on the west of coast Even since she was a young girl, she has wanted to become a teacher. She has taught eight years now and hasn't changed her mind.After she graduated from high school, she went on to college. Four years later, she received her bachelor's degree (B A) in English and her teaching certificate (证书).Then she went to teach in the secondary schools of her state. In the summers, Mrs. Blake takes more classes; she hopes to get a master's degree (M A). With an MA, she will receive a higher salary and if possible, she hopes to get a doctor's degree as well.The school day at Mrs. Blake's high school, like that in many high schools in the United States, is divided into one hour each. Mrs. Blake must teach five of these periods. During her free period, which for her is from 2 to 3 P.M. , Mrs. Blake must meet with parents, make out examinations, check assignments at all, Mrs. Blake works continuously from the time she arrives at school in the morning till the time she leaves for home late in the afternoon.36.How long is it since Mrs. Blake graduated from middle school?A. four yearsB. eight yearsC. twelve yearsD. twenty years37.According to the article, which is the right order of the degrees a person can receive after going to university?A. a doctor's degree 一a bachelor's degree 一a master's degreeB. a bachelor's degree 一a master's degree 一a doctor's degreeC. a master's degree一a bachelor's degree 一a doctor's degreeD. a bachelor's degree 一a doctor's degree一a master's degree38.How many degrees has Mrs. Blake achieved so far?A. oneB. twoC. threeD. none39.Which of the following sentences is not true?A. Mrs. Blake teaches in the inner area of big city on the east of the United SatesB.Mrs. Blake has turned her wish of becoming a teacher into reality.C.Mrs. Blake is still studying in her holidays in order to get higher degrees.D.The working hours in the school where Mrs. Blake works are similar to those of manyother high schools in the states.40.According to that third paragraph, Mrs. Blake is during the school day.A. lonelyB. freeC. funnyD. busy四、短文改错（每个2分，共20分）On a snowy winter night, a bus with 45 passenger had an accident because of the wet road. And all of them were trapping in the bus and what was worse, the bus ran out of gas and it is very cold in it. They could do nothing but to wait for help. A man who lived nearby saw what happened. He and some villagers managed to open the door and helped all of them out of bus. He took them to his home but offered food and water and even some warm clothes to the children. They spent two days in their home and finally helps came. All of them were thankful with their help.。
河北省衡水中学2017届高三下学期第四周周测英语试题含答案
I卷（满分90分）第一部分听力（共两节，满分20分）第一节(共5小题，每小题1分，满分5分第一节：听下面5段对话.每段对话后面有一个小题，从试题所给的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。
例:How much is the shirt?A.￡19.15。
B。
￡9。
15. C。
￡9.18。
答案是B。
1.What does the man want to do?A。
See a film. B。
Enjoy a play。
C。
Read a novel。
2.How will the speakers go to Pars?A. By air。
B。
By train.C。
By ship。
3.Which place is the man looking for？A. A post office. B。
A bookstore。
C. A park。
4.Why is Bill absent from the part?A. He’s gone to the concert. B。
He is not feeling well.C. He prefers to stay home.5.Where does the conversation take place?A. At the man’s house。
B。
At a tailor’sC。
At a clothing shop。
第二节：听下面5段对话.每段对话后有几个小题，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。
听每段对话前,你将有时间阅读各个小题，每小题5:听完后，各个小题给出5秒钟的作答时间.每段对话读两遍。
听第6段材料，回答6、7题。
6.What are the speakers going to do on Saturday together？A. Watch a game. B。
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每周真题测试-4（3）
三、（12分，每小题3分）
阅读下面的文言文，完成9～12题。
留侯论
苏轼
古之所谓豪杰之士者，必有过人之节。
人情有所不能忍者，匹夫见辱，拔剑而起，挺身而斗，此不足为勇也。
天下有大勇者，卒然临之而不惊，无故加之而不怒。
此其所挟持者甚大，而其志甚远也。
夫子房受书于圯上之老人也，其事甚怪。
然亦安知其非秦之世有隐君子者，出而试之？观其所以微见其意者，皆圣贤相与警戒之义。
而世不察，以为鬼物，亦已过矣。
且其意不在书。
当韩之亡、秦之方盛也，以刀锯鼎镬待天下之士，其平居无罪夷灭者，不可胜数。
虽有贲、育，无所复施。
夫持法太急者，其锋不可犯，而其末可乘。
子房不忍忿忿之心，以匹夫之力，而逞于一击之间，当此之时，子房之不死者，其间不能容发，盖亦已危矣。
千金之子，不死于盗贼，何者？其身之可爱，而盗贼之不足以死也。
子房以盖世之才，不为伊尹、太公之谋，而特出于荆轲、聂政之计，以侥幸于不死，此固圯上之老人所为深惜者也。
是故倨傲鲜腆而深折之。
彼能有所忍也，然后可以就大事，故曰孺子可教也。
楚庄王伐郑，郑伯肉袒牵羊以逆。
庄王曰：其君能下人，必能信用其民矣。
遂舍之。
勾践之困于会稽，而归臣妾于吴者，三年而不倦。
且夫有报人之志，而不能下人者，是匹夫之刚也。
夫老人者，以为子房才有余，而忧其度量之不足，故深折其少年刚锐之气，使之忍小忿而就大谋。
何则？非有生平之素，卒然相遇于草野之间，而命以仆妾之役，油然而不怪者，此固秦皇之所不能惊，而项籍之所不能怒也。
观夫高祖之所以胜，而项籍之所以败者，在能忍与不能忍之间而已矣。
项籍唯不能忍，是以百战百胜，而轻用其锋；高祖忍之，养其全锋而待其弊，此子房教之也。
当淮阴破齐而欲自王，高祖发怒，见于词色。
由此观之，犹有刚强不忍之气，非子房其谁全之？
太史公疑子房以为魁梧奇伟，而其状貌乃如妇人女子，不称其志气。
呜呼！此其所以为子房欤！
【注】贲(bn)、育：孟贲和夏育，相传为古代的勇士，能力举千钧。
倨傲鲜腆：傲慢无礼。
9．下列句中加点词语，解释不正确的一项是
（
）
A．人情有所不能忍者
忍：忍受
B．非有生平之素
素：交情
C．郑伯肉袒牵羊以逆
逆：反对
D．而命以仆妾之役
役：差使
10．下列各组句中加点词语的意义与用法相同的一顶是
（
）
A．卒然临之而不惊/ 以其求思之深而无不在也
B．夫子房受书于圯上之老人也/ 于其身也，则耻师焉
C．当韩之亡、秦之方盛也/ 悲夫古书之不存
D．是以百战百胜/ 以若所为，求若所欲
11．以下6句话编为四组，全都说明张良是豪杰之士的一项
（
）
以匹夫之力，而逞于一击之间
彼能有所忍也，然后可以就大事
此固秦皇之所不能惊，而项籍之所不能怒也
而特出于荆轲、聂政之计，以侥幸于不死
高祖忍之，养其全锋而待其弊，此子房教之也
而其状貌乃如妇人女子，不称其志气
A．
B．
C．
D．
12．下列是对原文内容的概括与分析，其中有误的一项是
（
）
A．苏轼认为豪杰的志士，一定具有胜人的节操，有一般人的常情所无法忍受的度量。
B．对于张良刺杀秦始皇一事，苏轼持反对意见，认为这是逞一时之勇。
C．苏轼认为，汉高祖之所以成功，项羽之所以失败，就在于一个能忍耐、一个不能忍耐罢了。
D．张良长相竟然像妇人女子，与他的志气和度量不相称，所以苏轼认为张良还不是真正的豪杰之士。
第卷（非选择题
114分）
四、(24分)
13．把下列句子翻译成现代汉语。
(10分)
（1）人情有所不能忍者。
（3分）
（2）夫持法太急者，其锋不可犯，而其末可乘。
（4分）
（3）养其全锋而待其弊。
（3分）。