【精准解析】北京市东城区2020届高三一模考试英语试题+Word版含解析
考查非谓语动词。句意:大约100年前,人们认为那里已经没有苍鹰了,因为农民在捕猎它们,而它们的林地栖息地也被砍伐了。分析句子结构可知leave在句中应用非谓语动词形式,与逻辑主语goshawks构成被动关系,故用过去分词。故填left。
【3题详解】
考查动in the past two years可知应用现在完成时,且主语为number,助动词用has。故填has grown。
2020北京东城高三一模
英语试题
本试卷共10页,共120分。考试时长100分钟。考生务必将答案答在答题卡上,在试卷上作答无效。考试结束后,将本试卷和答题卡一并交回。
第一部分:知识运用(共两节,45分)
第一节语法填空(共10小题;每小题1.5分,共15分)
A
阅读下列短文,根据短文内容填空。在未给提示词的空白处仅填写1个适当的单词,在给出提示词的空白处用括号内所给词的正确形式填空。
B
阅读下列短文,根据短文内容填空。在未给提示词的空白处仅填写1个适当的单词,在给出提示词的空白处用括号内所给词的正确形式填空。
One morning, I told my husband jokingly that he’d dropped the ball because he hadn’t made me coffee and I was having trouble getting motivated___4___(start) the day. My five-year-old son overheard me and asked what “drop the ball” meant. I told him it was just something like making a mistake. A few minutes later, he came into our bedroom___5___(hold) an overflowing coffee cup with a dishcloth underneath it to catch the drops. He said to my husband, “You dropped the ball, but I picked the ball up,” and he handed me the worst-tasting, most watered-down but___6___(sweet) cup of coffee ever.
【答案】4.to start
5.holding6.sweetest
【解析】
【分析】
这是一篇记叙文。短文叙述了作者和丈夫开玩笑说他没给自己煮咖啡,使自己很难有动力开始新的一天,结果自己的儿子给自己端来一杯味道最糟、最满但却是最甜的咖啡的故事。
【4题详解】
考查非谓语动词。句意:一天早上,我开玩笑地告诉丈夫,他把事情搞砸了,因为他没有给我煮咖啡,我很难有动力开始新的一天。分析句子结构可知start在句中应用非谓语动词形式,且作主语补足语。故填to start。
The goshawk, a rare bird, once close to extinction, has doubled___1___(it) number in a national park in the south of England. Around 100 years ago, there were thought to be no goshawks___2___(leave), due to farmers hunting them and their woodland habitats being cut down. However, thanks to conservationists, goshawks are back. By monitoring their nesting sites over time, the teams have been able to protect them from further forestry work. As a result, their number___3___(grow) from just 20 pairs to 40 pairs in the past two years.
【5题详解】
考查非谓语动词。句意:几分钟后,他走进我们的卧室,手里拿着一个盛满了咖啡的咖啡杯,杯底是一块洗碗布,用来接滴下的咖啡。分析句子结构可知hold在句中应用非谓语动词形式作状语,且与逻辑主语he构成主动关系,故用现在分词。故填holding。
【6题详解】
考查形容词最高级。句意:他对我丈夫说:“你犯错误另外,但我弥补了这个错误。”然后他递给我一杯味道最糟、最满但却是最甜的咖啡。结合句意表示“最甜的”应用最高级sweetest。故填sweetest。
【答案】1.its2.left
3.has grown
【解析】
这是一篇说明文。主要介绍了一种曾经濒临灭绝的稀有鸟类——苍鹰,在英格兰南部的一个国家公园数量翻了一倍。这都多亏了自然资源保护主义者的工作。
【1题详解】
考查代词。句意:苍鹰,一种曾经濒临灭绝的稀有鸟类,现在在英格兰南部的一个国家公园里它的数量翻了一番。number为名词,应用形容词性物主代词its修饰。故填its。
【点睛】当分词做状语的时候,如果构成分词的动词与句子的主语构成主动关系,就使用现在分词做状语;当二者构成被动关系,使用过去分词做状语。如果分词的动作发生在谓语动词之前,就使用分词的完成式。如果分词与句子的主语没有关系,可以使用状语从句或者独立主格结构。
如第二小题,考查非谓语动词。句意:几分钟后,他走进我们的卧室,手里拿着一个盛满了咖啡的咖啡杯,杯底是一块洗碗布,用来接滴下的咖啡。分析句子结构可知hold在句中应用非谓语动词形式作状语,且与逻辑主语he构成主动关系,故用现在分词。故填holding。
2020北京东城高三英语一模(含答案)
2020北京东城高三一模英语试题本试卷共10页,共120分。
考试时长100 分钟。
考生务必将答案答在答题卡上,在试卷上作答无效。
考试结束后,将本试卷和答题卡一并交回。
第一部分:知识运用(共两节,45分)第一节语法填空(共10小题;每小题1.5分,共15分)A阅读下列短文,根据短文内容填空。
在未给提示词的空白处仅填写1个适当的单词,在给出提示词的空白处用括号内所给词的正确形式填空。
The goshawk, a rare bird, once close to extinction, has doubled ___1___ (it) number in a national park in the south of England. Around 100 years ago, there were thought to be no goshawks ___2___(leave), due to farmers hunting them and their woodland habitats being cut down. However, thanks to conservationists, goshawks are back. By monitoring their nesting sites over time, the teams have been able to protect them from further forestry work. As a result, their number___3___(grow) from just 20 pairs to 40 pairs in the past two years.【答案】1. its 2. left3. has grown【解析】这是一篇说明文。
主要介绍了一种曾经濒临灭绝的稀有鸟类——苍鹰,在英格兰南部的一个国家公园数量翻了一倍。
北京市东城区2020届高三上学期期末考试英语试题 Word版含解析
东城区2019-2020学年第一学期期末教学检测高三英语第一部分:知识运用(共两节,45分)第一节语法填空(共10小题;每小题1.5分,共15分)A阅读下列短文,根据短文内容填空。
在未给提示词的空白处仅填写1个适当的单词,在给出提示词的空白处用括号内所给词的正确形式填空。
Christmas was near. I walked away from my school and followed the worn path through the trees onto the street ___1___Cole’s grocery store stood. In my pocket was a collection of coins and bills I ___2___ (earn) the summer before. Cars ran down the street as I opened the door to the store. The noise of the cars disappeared when the door closed ___3___ me. I was a kid who felt out of place and on a mission. For the first time, I was going to buy a Christmas gift for my mum and dad. 【答案】1. where2. had earned3. behind / after【解析】【分析】这是一篇记叙文,主要讲述自己为父母买圣诞节礼物的事。
【1题详解】考查定语从句。
句意:我从学校离开,沿着两旁有树的老路来到Cole的杂货店所在的那条街。
根据句子结构,这里是定语从句,修饰先行词street,先行词在定语从句中作地点状语,故填where。
【2题详解】考查时态。
句意:我口袋里是我夏天前赚的一些硬币和纸币。
北京市东城区2020届高三下学期4月第一次模拟新高考适应考试数学试题 Word版含答案
2020年高考数学(4月份)第一次模拟试卷一、选择题(共10小题).1.已知集合A={x|x(x+1)≤0},集合B={x|﹣1<x<1},则A∪B=()A.{x|﹣1≤x≤1}B.{x|﹣1<x≤0}C.{x|﹣1≤x<1}D.{x|0<x<1}2.已知复数z=(其中i是虚数单位),则|z|=()A.B.C.1D.23.抛物线x2=4y的准线与y轴的交点的坐标为()A.B.(0,﹣1)C.(0,﹣2)D.(0,﹣4)4.设函数f(x)=x+﹣2(x<0),则f(x)()A.有最大值B.有最小值C.是增函数D.是减函数5.已知曲线C的方程为,则“a>b”是“曲线C为焦点在x轴上的椭圆”的()A.充分而不必要条件B.必要而不充分条件C.充分必要条件D.既不充分也不必要条件6.一排6个座位坐了2个三口之家.若每家人坐在一起,则不同的坐法种数为()A.12B.36C.72D.7207.已知圆C与直线y=﹣x及x+y﹣4=0的相切,圆心在直线y=x上,则圆C的方程为()A.(x﹣1)2 +(y﹣1)2 =2B.(x﹣1)2 +(y+1)2 =2C.(x+1)2 +(y﹣1)2 =4D.(x+1)2 +(y+1)2 =48.已知正项等比数列{a n}中,a1a5a9=27,a6与a7的等差中项为9,则a10=()A.729B.332C.181D.969.春天来了,某池塘中的荷花枝繁叶茂,已知每一天新长出荷叶覆盖水面面积是前一天的2倍,若荷叶20天可以完全长满池塘水面,则当荷叶刚好覆盖水面面积一半时,荷叶已生长了()A.10天B.15天C.19天D.2天10.某学校高三教师周一、周二、周三坐地铁上班的人数分别是8,10,14,若这三天中至少有一天开车上班的职工人数是20,则这三天都开车上班的职工人数至多是()A.8B.7C.6D.5二、填空题共5题,每题5分,共25分.11.设向量,不平行,向量λ+与+2平行,则实数λ=.12.已知角α的顶点在坐标原点,始边与x轴的正半轴重合,将角α的终边按逆时针方向旋转后经过点(﹣1,),则sinα=.13.某四棱锥的三视图如图所示,那么该四棱锥的体积为.14.若顶点在原点的抛物线经过四个点(1,1),,(2,1),(4,2)中的2个点,则该抛物线的标准方程可以是.15.某部影片的盈利额(即影片的票房收入与固定成本之差)记为y,观影人数记为x,其函数图象如图(1)所示.由于目前该片盈利未达到预期,相关人员提出了两种调整方案,图(2)、图(3)中的实线分别为调整后y与x的函数图象.给出下列四种说法:①图(2)对应的方案是:提高票价,并提高成本;②图(2)对应的方案是:保持票价不变,并降低成本;③图(3)对应的方案是:提高票价,并保持成本不变;④图(3)对应的方案是:提高票价,并降低成本.其中,正确的说法是.(填写所有正确说法的编号)三、解答题16.如图1,在△ABC中,D,E分别为AB,AC的中点,O为DE的中点,AB=AC=2,BC=4.将△ADE沿DE折起到△A1DE的位置,使得平面A1DE⊥平面BCED,如图.(Ⅰ)求证:A1O⊥BD;(Ⅱ)求直线A1C和平面A1BD所成角的正弦值;17.在①b2+ac=a2+c2,②a cos B=b sin A,③sin B+cos B=,这三个条件中任选一个,补充在下面的问题中,并解决该问题.已知△ABC的内角A,B,C的对边分别为a,b,c,_______,A=,b=,求△ABC的面积.18.为了解甲、乙两个快递公司的工作状况,假设同一个公司快递员的工作状况基本相同,现从甲、乙两公司各随机抽取一名快递员,并从两人某月(30天)的快递件数记录结果中随机抽取10天的数据,制表如图:每名快递员完成一件货物投递可获得的劳务费情况如下:甲公司规定每件4.5元;乙公司规定每天35件以内(含35件)的部分每件4元,超出35件的部分每件7元.(Ⅰ)根据表中数据写出甲公司员工A在这10天投递的快递件数的平均数和众数;(Ⅱ)为了解乙公司员工B的每天所得劳务费的情况,从这10天中随机抽取1天,他所得的劳务费记为X(单位:元),求X的分布列和数学期望;(Ⅲ)根据表中数据估算两公司的每位员工在该月所得的劳务费.19.已知函数f(x)=lnx﹣.(1)若曲线y=f(x)存在斜率为﹣1的切线,求实数a的取值范围;(2)求f(x)的单调区间;(3)设函数g(x)=,求证:当﹣1<a<0时,g(x)在(1,+∞)上存在极小值.20.已知椭圆C:x2+3y2=6的右焦点为F.(Ⅰ)求点F的坐标和椭圆C的离心率;(Ⅱ)直线l:y=kx+m(k≠0)过点F,且与椭圆C交于P,Q两点,如果点P关于x轴的对称点为P′,判断直线P'Q是否经过x轴上的定点,如果经过,求出该定点坐标;如果不经过,说明理由.21.各项均为非负整数的数列{a n}同时满足下列条件:①a1=m(m∈N*);②a n≤n﹣1(n≥2);③n是a1+a2+…+a n的因数(n≥1).(Ⅰ)当m=5时,写出数列{a n}的前五项;(Ⅱ)若数列{a n}的前三项互不相等,且n≥3时,a n为常数,求m的值;(Ⅲ)求证:对任意正整数m,存在正整数M,使得n≥M时,a n为常数.参考答案一、选择题共10题,每题4分,共40分.在每题列出的四个选项中,选出符合题目要求的一项.1.已知集合A={x|x(x+1)≤0},集合B={x|﹣1<x<1},则A∪B=()A.{x|﹣1≤x≤1}B.{x|﹣1<x≤0}C.{x|﹣1≤x<1}D.{x|0<x<1}【分析】先求出集合A,集合B,由此能求出A∪B.解:∵集合A={x|x(x+1)≤0}={x|﹣1≤x≤0},集合B={x|﹣1<x<1},∴A∪B={x|﹣1≤x<1}.故选:C.2.已知复数z=(其中i是虚数单位),则|z|=()A.B.C.1D.2【分析】利用复数模长的性质即可求解.解:∵复数z=,∴==,故选:A.3.抛物线x2=4y的准线与y轴的交点的坐标为()A.B.(0,﹣1)C.(0,﹣2)D.(0,﹣4)【分析】利用抛物线x2=4y的准线方程为y=﹣1,即可求出抛物线x2=4y的准线与y轴的交点的坐标.解:抛物线x2=4y的准线方程为y=﹣1,∴抛物线x2=4y的准线与y轴的交点的坐标为(0,﹣1),故选:B.4.设函数f(x)=x+﹣2(x<0),则f(x)()A.有最大值B.有最小值C.是增函数D.是减函数【分析】根据x<0即可根据基本不等式得出,从而可得出f(x)≤﹣4,并且x=﹣1时取等号,从而得出f(x)有最大值,没有单调性,从而得出正确的选项.解:∵x<0,∴,当且仅当,即x=﹣1时取等号,∴f(x)有最大值,∴f(x)在(﹣∞,0)上没有单调性.故选:A.5.已知曲线C的方程为,则“a>b”是“曲线C为焦点在x轴上的椭圆”的()A.充分而不必要条件B.必要而不充分条件C.充分必要条件D.既不充分也不必要条件【分析】根据椭圆方程的特点,结合充分条件和必要条件的定义进行判断即可.解:若a>b>0,则对应的曲线为双曲线,不是椭圆,即充分性不成立,若曲线C为焦点在x轴上的椭圆,则满足a>﹣b>0,即a>0,b<0,满足a>b,即必要性成立,即“a>b”是“曲线C为焦点在x轴上的椭圆”的必要不充分条件,故选:B.6.一排6个座位坐了2个三口之家.若每家人坐在一起,则不同的坐法种数为()A.12B.36C.72D.720【分析】根据题意,由捆绑法分析:先将2个三口之家的成员进行全排列,再对2个三口之家整体进行全排列,由分步计数原理计算可得答案.解:根据题意,先将2个三口之家的成员进行全排列,有=36种情况,再对2个三口之家整体进行全排列,有=2种情况,则有36×2=72种不同的坐法;故选:C.7.已知圆C与直线y=﹣x及x+y﹣4=0的相切,圆心在直线y=x上,则圆C的方程为()A.(x﹣1)2 +(y﹣1)2 =2B.(x﹣1)2 +(y+1)2 =2C.(x+1)2 +(y﹣1)2 =4D.(x+1)2 +(y+1)2 =4【分析】根据圆心在直线y=x上,设出圆心坐标为(a,a),利用圆C与直线y=﹣x及x+y﹣4=0的相切,求得圆心坐标,再求圆的半径,可得圆的方程.解:圆心在y=x上,设圆心为(a,a),∵圆C与直线y=﹣x及x+y﹣4=0的相切,∴圆心到两直线y=﹣x及x+y﹣4=0的距离相等,即:⇒a=1,∴圆心坐标为(1,1),R==,圆C的标准方程为(x﹣1)2+(y﹣1)2=2.故选:A.8.已知正项等比数列{a n}中,a1a5a9=27,a6与a7的等差中项为9,则a10=()A.729B.332C.181D.96【分析】正项等比数列{a n}的公比设为q,q>0,运用等差数列的中项性质和等比数列的通项公式及性质,解方程可得公比q,再由等比数列的通项公式计算可得所求值.解:正项等比数列{a n}的公比设为q,q>0,由a1a5a9=27,可得a53=27,即a5=3,即a1q4=3,①a6与a7的等差中项为9,可得a6+a7=18,即a1q5+a1q6=18,②①②相除可得q2+q﹣6=0,解得q=2(﹣3舍去),则a10=a5q5=3×32=96.故选:D.9.春天来了,某池塘中的荷花枝繁叶茂,已知每一天新长出荷叶覆盖水面面积是前一天的2倍,若荷叶20天可以完全长满池塘水面,则当荷叶刚好覆盖水面面积一半时,荷叶已生长了()A.10天B.15天C.19天D.2天【分析】由题意设荷叶覆盖水面的初始面积,再列出解析式,并注明x的范围,列出方程求解即可.解:设荷叶覆盖水面的初始面积为a,则x天后荷叶覆盖水面的面积y=a•2x(x∈N+),根据题意,令2(a•2x)=a•220,解得x=19,故选:C.10.某学校高三教师周一、周二、周三坐地铁上班的人数分别是8,10,14,若这三天中至少有一天开车上班的职工人数是20,则这三天都开车上班的职工人数至多是()A.8B.7C.6D.5【分析】设周三,周二,周一开车上班的职工组成的集合分别为A,B,C,集合A,B,C 中元素个数分别为n(A),n(B),n(C),根据n(A∪B∪C)=n(A)+n(B)+n (C)﹣n(A∩B)﹣n(A∩C)﹣n(B∩C)+n(A∩B∩C),且n(A∩B)≥n(A∩B ∩C),n(A∩C)≥n(A∩B∩C),n(B∩C)≥n(A∩B∩C)可得.解:设周三,周二,周一开车上班的职工组成的集合分别为A,B,C,集合A,B,C中元素个数分别为n(A),n(B),n(C),则n(A)=14,n(B)=10,n(C)=8,n(A∪B∪C)=20,因为n(A∪B∪C)=n(A)+n(B)+n(C)﹣n(A∩B)﹣n(A∩C)﹣n(B∩C)+n (A∩B∩C),且n(A∩B)≥n(A∩B∩C),n(A∩C)≥n(A∩B∩C),n(B∩C)≥n(A∩B∩C),所以14+10+8﹣20+n(A∩B∩C)≥3n(A∩B∩C),即n(A∩B∩C)≤=6.故选:C.二、填空题共5题,每题5分,共25分.11.设向量,不平行,向量λ+与+2平行,则实数λ=.【分析】利用向量平行的条件直接求解.解:∵向量,不平行,向量λ+与+2平行,∴λ+=t(+2)=,∴,解得实数λ=.故答案为:.12.已知角α的顶点在坐标原点,始边与x轴的正半轴重合,将角α的终边按逆时针方向旋转后经过点(﹣1,),则sinα=1.【分析】由题意利用任意角的三角函数的定义,先求得α的值,可得sinα的值.解:∵角α的顶点在坐标原点,始边与x轴的正半轴重合,将角α的终边按逆时针方向旋转后经过点(﹣1,),∴tan(α+)==﹣,故α+为第二象限角.∴可令α+=,此时,α=,sinα=1,故答案为:1.13.某四棱锥的三视图如图所示,那么该四棱锥的体积为.【分析】画出几何体的直观图,利用三视图的数据,求解几何体的体积.解:几何体的直观图如图:是长方体的一部分,长方体的棱长为:2,1,2,四棱锥的体积为:×1×2×2=.故答案为:.14.若顶点在原点的抛物线经过四个点(1,1),,(2,1),(4,2)中的2个点,则该抛物线的标准方程可以是x2=8y或y2=x.【分析】由题意可设抛物线方程为y2=2px(p>0)或x2=2py(p>0),然后分类求解得答案.解:由题意可得,抛物线方程为y2=2px(p>0)或x2=2py(p>0).若抛物线方程为y2=2px(p>0),代入(1,1),得p=,则抛物线方程为y2=x,此时(4,2)在抛物线上,符合题意;若抛物线方程为x2=2py(p>0),代入(2,1),得p=2,则抛物线方程为x2=8y,此时(2,)在抛物线上,符合题意.∴抛物线的标准方程可以是x2=8y或y2=x.故答案为:x2=8y或y2=x.15.某部影片的盈利额(即影片的票房收入与固定成本之差)记为y,观影人数记为x,其函数图象如图(1)所示.由于目前该片盈利未达到预期,相关人员提出了两种调整方案,图(2)、图(3)中的实线分别为调整后y与x的函数图象.给出下列四种说法:①图(2)对应的方案是:提高票价,并提高成本;②图(2)对应的方案是:保持票价不变,并降低成本;③图(3)对应的方案是:提高票价,并保持成本不变;④图(3)对应的方案是:提高票价,并降低成本.其中,正确的说法是②③.(填写所有正确说法的编号)【分析】解题的关键是理解图象表示的实际意义,进而得解.解:由图可知,点A纵坐标的相反数表示的是成本,直线的斜率表示的是票价,故图(2)降低了成本,但票价保持不变,即②对;图(3)成本保持不变,但提高了票价,即③对;故选:②③.三、解答题共6题,共85分.解答应写出文字说明,演算步骤或证明过程.16.如图1,在△ABC中,D,E分别为AB,AC的中点,O为DE的中点,AB=AC=2,BC=4.将△ADE沿DE折起到△A1DE的位置,使得平面A1DE⊥平面BCED,如图.(Ⅰ)求证:A1O⊥BD;(Ⅱ)求直线A1C和平面A1BD所成角的正弦值;【分析】(Ⅰ)推导出A1O⊥DE,从而A1O⊥平面BCDE,由此能证明A1O⊥BD.(Ⅱ)以O为原点,在平面BCED中过点O作DE的垂线为x轴,以OE为y轴,OA1为z轴,建立空间直角坐标系,由此能求出直线A1C和平面A1BD所成角的正弦值.解:(Ⅰ)证明:∵在△ABC中,D,E分别为AB,AC的中点,O为DE的中点,AB=AC=2,BC=4.∴A1O⊥DE,∵将△ADE沿DE折起到△A1DE的位置,使得平面A1DE⊥平面BCED,∴A1O⊥平面BCDE,∵BD⊂平面BCDE,∴A1O⊥BD.(Ⅱ)解:以O为原点,在平面BCED中过点O作DE的垂线为x轴,以OE为y轴,OA1为z轴,建立空间直角坐标系,A1(0,0,2),C(2,2,0),B(2,﹣2,0),D(0,﹣1,0),=(2,2,﹣2),=(2,﹣1,0),=(0,1,2),设平面A1BD的法向量为=(x,y,z),则,取x=1,得=(1,2,﹣1),设直线A1C和平面A1BD所成角为θ,则直线A1C和平面A1BD所成角的正弦值为:sinθ===.17.在①b2+ac=a2+c2,②a cos B=b sin A,③sin B+cos B=,这三个条件中任选一个,补充在下面的问题中,并解决该问题.已知△ABC的内角A,B,C的对边分别为a,b,c,_______,A=,b=,求△ABC的面积.【分析】取①,由余弦定理可得cos B=进而解得B,C的大小也可得出,再由正弦定理可得a,最后利用三角形的面积公式计算即可得出;取②a cos B=b sin A,由正弦定理可得:tan B=1,B∈(0,π),解得B,可得sin C=sin(A+B),由正弦定理可得:a,利用三角形面积计算公式即可得出;取③,可得,由此可求出B的大小,C的大小也可得出,再由正弦定理可得a,最后利用三角形的面积公式计算即可得出;解:(1)若选择①,由余弦定理,……………因为B∈(0,π),所以;……………………由正弦定理,得,……………因为,,所以,……………所以………所以.……………(2)若选择②a cos B=b sin A,则sin A cos B=sin B sin A,……………因为sin A≠0,所以sin B=cos B,……………因为B∈(0,π),所以;……………由正弦定理,得,……………因为,,所以,……………所以,…所以.……………(3)若选择③,则,所以,……………因为B∈(0,π),所以,所以,所以;……………由正弦定理,得,……………因为,,所以,……………所以,………18.为了解甲、乙两个快递公司的工作状况,假设同一个公司快递员的工作状况基本相同,现从甲、乙两公司各随机抽取一名快递员,并从两人某月(30天)的快递件数记录结果中随机抽取10天的数据,制表如图:每名快递员完成一件货物投递可获得的劳务费情况如下:甲公司规定每件4.5元;乙公司规定每天35件以内(含35件)的部分每件4元,超出35件的部分每件7元.(Ⅰ)根据表中数据写出甲公司员工A在这10天投递的快递件数的平均数和众数;(Ⅱ)为了解乙公司员工B的每天所得劳务费的情况,从这10天中随机抽取1天,他所得的劳务费记为X(单位:元),求X的分布列和数学期望;(Ⅲ)根据表中数据估算两公司的每位员工在该月所得的劳务费.【分析】(Ⅰ)由茎叶图能求出甲公司员工A投递快递件数的平均数和众数.(Ⅱ)由题意能求出X的可能取值为136,147,154,189,203,分别求出相对应的概率,由此能求出X的分布列和数学期望.(Ⅲ)利用(Ⅱ)的结果能估算算两公司的每位员工在该月所得的劳务费.解:(Ⅰ)甲公司员工A投递快递件数的平均数为:=(32+33+33+38+35+36+39+33+41+40)=36,众数为33.(Ⅱ)设a为乙公司员工B投递件数,则当a=34时,X=136元,当a>35时,X=35×4+(a﹣35)×7元,∴X的可能取值为136,147,154,189,203,P(X=136)=,P(X=147)=,P(X=154)=,P(X=189)=,P(X=203)=,X的分布列为:X136147154189203P=.(Ⅲ)根据图中数据,由(Ⅱ)可估算:甲公司被抽取员工该月收入=36×4.5×30=4860元,乙公司被抽取员工该月收入=165.5×30=4965元.19.已知函数f(x)=lnx﹣.(1)若曲线y=f(x)存在斜率为﹣1的切线,求实数a的取值范围;(2)求f(x)的单调区间;(3)设函数g(x)=,求证:当﹣1<a<0时,g(x)在(1,+∞)上存在极小值.【分析】(1)求出函数的导数,问题转化为x2+x+a=0存在大于0的实数根,根据y=x2+x+a 在x>0时递增,求出a的范围即可;(2)求出函数f(x)的导数,通过讨论a的范围,判断导函数的符号,求出函数的单调区间即可;(3)求出函数g(x)的导数,根据f(e)=﹣>0,得到存在x0∈(1,e)满足g′(x0)=0,从而得到函数的单调区间,求出函数的极小值,证出结论即可.解:(1)由f(x)=lnx﹣﹣1得:f′(x)=,(x>0),由已知曲线y=f(x)存在斜率为﹣1的切线,∴f′(x)=﹣1存在大于0的实数根,即x2+x+a=0存在大于0的实数根,∵y=x2+x+a在x>0时递增,∴a的范围是(﹣∞,0);(2)由f′(x)=,(x>0),得:a≥0时,f′(x)>0,∴f(x)在(0,+∞)递增;a<0时,若x∈(﹣a,+∞)时,f′(x)>0,若x∈(0,﹣a),则f′(x)<0,故f(x)在(﹣a,+∞)递增,在(0,﹣a)递减;(3)由g(x)=及题设得:g′(x)==,由﹣1<a<0,得:0<﹣a<1,由(2)得:f(x)在(﹣a,+∞)递增,∴f(1)=﹣a﹣1<0,取x=e,显然e>1,f(e)=﹣>0,∴存在x0∈(1,e)满足f(x0)=0,即存在x0∈(1,e)满足g′(x0)=0,令g′(x)>0,解得:x>x0,令g′(x)<0,解得:1<x<x0,故g(x)在(1,x0)递减,在(x0,+∞)递增,∴﹣1<a<0时,g(x)在(1,+∞)存在极小值.20.已知椭圆C:x2+3y2=6的右焦点为F.(Ⅰ)求点F的坐标和椭圆C的离心率;(Ⅱ)直线l:y=kx+m(k≠0)过点F,且与椭圆C交于P,Q两点,如果点P关于x轴的对称点为P′,判断直线P'Q是否经过x轴上的定点,如果经过,求出该定点坐标;如果不经过,说明理由.【分析】(I)由椭圆的标准方程即可得出;(II)直线l:y=kx+m(k≠0)过点F,可得l:y=k(x﹣2).代入椭圆的标准方程可得:(3k2+1)x2﹣12k2x+12k2﹣6=0.(依题意△>0).设P(x1,y1),Q(x2,y2),可得根与系数的关系.点P关于x轴的对称点为P',则P'(x1,﹣y1).可得直线P'Q的方程可以为,令y=0,,把根与系数的关系代入化简即可得出.解:(Ⅰ)∵椭圆C:,∴c2=a2﹣b2=4,解得c=2,∴焦点F(2,0),离心率.(Ⅱ)直线l:y=kx+m(k≠0)过点F,∴m=﹣2k,∴l:y=k(x﹣2).由,得(3k2+1)x2﹣12k2x+12k2﹣6=0.(依题意△>0).设P(x1,y1),Q(x2,y2),则,.∵点P关于x轴的对称点为P',则P'(x1,﹣y1).∴直线P'Q的方程可以设为,令y=0,====3.∴直线P'Q过x轴上定点(3,0).21.各项均为非负整数的数列{a n}同时满足下列条件:①a1=m(m∈N*);②a n≤n﹣1(n≥2);③n是a1+a2+…+a n的因数(n≥1).(Ⅰ)当m=5时,写出数列{a n}的前五项;(Ⅱ)若数列{a n}的前三项互不相等,且n≥3时,a n为常数,求m的值;(Ⅲ)求证:对任意正整数m,存在正整数M,使得n≥M时,a n为常数.【分析】(Ⅰ)当m=5时,写出数列{a n}的前五项;(Ⅱ)对a2、a3分类取值,再结合各项均为非负整数列式求m的值;(Ⅲ)令S n=a1+a2+…+a n,则.进一步推得存在正整数M>m,当n>M时,必有成立.再由成立证明a n为常数.【解答】(Ⅰ)解:m=5时,数列{a n}的前五项分别为:5,1,0,2,2.(Ⅱ)解:∵0≤a n≤n﹣1,∴0≤a2≤1,0≤a3≤2,又数列{a n}的前3项互不相等,(1)当a2=0时,若a3=1,则a3=a4=a5= (1)且对n≥3,都为整数,∴m=2;若a3=2,则a3=a4=a5= (2)且对n≥3,都为整数,∴m=4;(2)当a2=1时,若a3=0,则a3=a4=a5= 0且对n≥3,都为整数,∴m=﹣1,不符合题意;若a3=2,则a3=a4=a5= (2)且对n≥3,都为整数,∴m=3;综上,m的值为2,3,4.(Ⅲ)证明:对于n≥1,令S n=a1+a2+…+a n,则.又对每一个n,都为正整数,∴,其中“<”至多出现m﹣1个.故存在正整数M>m,当n>M时,必有成立.当时,则.从而.由题设知,又及a n+1均为整数,∴=a n+1=,故=常数.从而=常数.故存在正整数M,使得n≥M时,a n为常数.。
2020东城高三一模英语
北京市东城区2019—2020 学年度第二学期期末教学统一检测高三英语2020.5本试卷共10 页,共120 分。
考试时长100 分钟。
考生务必将答案答在答题卡上,在试卷上作答无效。
考试结束后,将本试卷和答题卡一并交回。
第一部分:知识运用(共两节,45分)第一节语法填空(共10小题;每小题1.5分,共15分)阅读下列短文,根据短文内容填空。
在未给提示词的空白处仅填写1个适当的单词,在给出提示词的空白处用括号内所给词的正确形式填空。
AThe goshawk, a rare bird, once close to extinction, has doubled 1 (it) number in a national park in the south of England. Around 100 years ago, there were thought to be no goshawks 2 (leave), due to farmers hunting them and their woodland habitats being cut down. However, thanks to conservationists, goshawks are back. By monitoring their nesting sites over time, the teams have been able to protect them from further forestry work. As a result, their number 3 (grow) from just 20 pairs to 40 pairs in the past two years.BOne morning, I told my husband jokingly that he’d dropped the ball because he hadn’t made me coffee and I was having trouble getting motivated 4 (start) the day. My five-year-old son overheard me and asked what “drop the ball” meant. I told him it was just something like making a mistake. A few minutes later, he came into our bedroom 5 (hold) an overflowing coffee cup with a dishcloth underneath it to catch the drops. He said to my husband, “You dropped the ball, but I picked the ball up,” and he handed me the worst-tasting, most watered-down but 6 (sweet) cup of coffee ever.CIn half a century, the Internet has transformed society. Billions of us can connect at the touch ofa button. Access 7 information, banks and shops has never been easier. The world has changed8 (dramatic) and continues to do so in ways we couldn’t have imagined. However, the Internet isn’t without disadvantages. By design, it has no central authority, 9 makes protecting people online or dealing with misinformation a near-impossible task.10 the Internet develops will shape our future. If the past 50 years has been dominated by free and open exchanges, the next 50 will be about whether rules and restrictions can actually makethe Internet, and the world, a better place.第二节完形填空(共20小题;每小题1.5分,共30分)阅读下面短文,掌握其大意,从每题所给的A、B、C、D四个选项中,选出最佳选项,并在答题卡上将该项涂黑。
【2020东城区一模】北京市东城区2020届高三5月综合测试(一)英语试题
北京市东城区2019—2020 学年度第二学期高三综合练习(一)英语2020.5本试卷共10 页,共120 分。
考试时长100 分钟。
考生务必将答案答在答题卡上,在试卷上作答无效。
考试结束后,将本试卷和答题卡一并交回。
第一部分:知识运用(共两节,45分)第一节语法填空(共10小题;每小题1.5分,共15分)阅读下列短文,根据短文内容填空。
在未给提示词的空白处仅填写1个适当的单词,在给出提示词的空白处用括号内所给词的正确形式填空。
AThe goshawk, a rare bird, once close to extinction, has doubled 1 (it) number in a national park in the south of England. Around 100 years ago, there were thought to be no goshawks 2 (leave), due to farmers hunting them and their woodland habitats being cut down. However, thanks to conservationists, goshawks are back. By monitoring their nesting sites over time, the teams have been able to protect them from further forestry work. As a result, their number 3 (grow) from just 20 pairs to 40 pairs in the past two years.BOne morning, I told my husband jokingly that he’d dropped the ball because he hadn’t made me coffee and I was having trouble getting motivated 4 (start) the day. My five-year-old son overh eard me and asked what “drop the ball” meant. I told him it was just something like making a mistake. A few minutes later, he came into our bedroom 5 (hold) an overflowing coffee cup with a dishcloth underneath it to catch the drops. He said to my husb and, “You dropped the ball, but I picked the ball up,” and he handed me the worst-tasting, most watered-down but 6 (sweet) cup of coffee ever.CIn half a century, the Internet has transformed society. Billions of us can connect at the touch ofa button. Access 7 information, banks and shops has never been easier. The world has changed8 (dramatic) and continues to do so in ways we couldn’t have imagined. However, the Internet isn’t without disadvantages. By design, it has no central authority, 9 makes protecting people online or dealing with misinformation a near-impossible task.10 the Internet develops will shape our future. If the past 50 years has been dominated by free and open exchanges, the next 50 will be about whether rules and restrictions can actually make1the Internet, and the world, a better place.第二节完形填空(共20小题;每小题1.5分,共30分)阅读下面短文,掌握其大意,从每题所给的A、B、C、D四个选项中,选出最佳选项,并在答题卡上将该项涂黑。
2020年东城高三一模英语试题及答案(2020.05)
北京市东城区2019—2020学年度第二学期高三综合练习(一)英语2020.5本试卷共10页,共120分。
考试时长100分钟。
考生务必将答案答在答题卡上,在试卷上作答无效。
考试结束后,将本试卷和答题卡一并交回。
第一部分:知识运用(共两节,45分)第一节语法填空(共10小题;每小题1.5分,共15分)阅读下列短文,根据短文内容填空。
在未给提示词的空白处仅填写1个适当的单词,在给出提示词的空白处用括号内所给词的正确形式填空。
AThe goshawk,a rare bird,once close to extinction,has doubled1(it)number in a national park in the south of England.Around100years ago,there were thought to be no goshawks2 (leave),due to farmers hunting them and their woodland habitats being cut down.However,thanks to conservationists,goshawks are back.By monitoring their nesting sites over time,the teams have been able to protect them from further forestry work.As a result,their number3(grow)from just20pairs to40pairs in the past two years.BOne morning,I told my husband jokingly that he’d dropped the ball because he hadn’t made me coffee and I was having trouble getting motivated4(start)the day.My five-year-old son overheard me and asked what“drop the ball”meant.I told him it was just something like making a mistake.A few minutes later,he came into our bedroom5(hold)an overflowing coffee cup with a dishcloth underneath it to catch the drops.He said to my husband,“You dropped the ball,but I picked the ball up,”and he handed me the worst-tasting,most watered-down but6(sweet) cup of coffee ever.CIn half a century,the Internet has transformed society.Billions of us can connect at the touch of a button.Access7information,banks and shops has never been easier.The world has changed8(dramatic)and continues to do so in ways we couldn’t have imagined.However,the Internet isn’t without disadvantages.By design,it has no central authority,9makes protecting people online or dealing with misinformation a near-impossible task.10the Internet develops will shape our future.If the past50years has been dominated by free and open exchanges,the next50will be about whether rules and restrictions can actually make the Internet,and the world,a better place.第二节完形填空(共20小题;每小题1.5分,共30分)阅读下面短文,掌握其大意,从每题所给的A、B、C、D四个选项中,选出最佳选项,并在答题卡上将该项涂黑。
2020年北京市第二十中学高三英语一模试卷及参考答案
2020年北京市第二十中学高三英语一模试卷及参考答案第一部分阅读(共两节,满分40分)第一节(共15小题;每小题2分,满分30分)阅读下列短文,从每题所给的A、B、C、D四个选项中选出最佳选项APersonal Time Off(PTO)is something my wife and I created after having kids. We learned that,over time,a full life can leave little time for personal rest and for reflection,hanging out with friends,or just being“off. ”So,after a number of years,we make a change. If I can persuade you to take your own PTO,then these might help.■Schedule itFirst of all,one of our favorite family sayings is“schedule it. ”Sounds easy enough,but life gets complicated managing full-time work and full-time family. Put yourPTO time on the calendar and you make it a real thing.■Be flexible and strictIf you can schedule PTO at the same time each week,then all the better. Because our calendar can get rather full,flexibility in scheduling becomes a necessity. But being strict in actually taking the time each week is more important. Skipping it once makes it easier to skip again.■Take enough timeMy typical PTO lasts a couple of hours or longer. Sometimes it might be half the day depending on what I’m doing. The goal is to spend enough time away to1et your shoulders drop.■Do what you want to doRemember,PTO time is about personal time to do what you want to do,not what you have to do. PTO time is about relaxation. Grab a friend and get a beer. Work can wait until tomorrow.1.What can be the first step to take the PTO?A.Persuade the family.B.Have a personal rest.C.Ask friends for advice.D.Make a time plan.2.What does the underlined part“let your shoulders drop”probably mean?A.Get you more focused.B.Have you feel relaxed.C.Shake your shoulders often.D.Make you feel more stressed.3.What does the text mainly talk about?A.Tips on how to take your time offB.Skills to manage work and familyC.Advice on how to free yourselfD.Ways of scheduling your workBHumans are the only creature that gets around by standing up and putting one foot in front of the other. Our ability to walk upright has allowed humankind to travel great distances and survive changing climates, environments and landscapes.Countless scientific studies have found that walking is really good for us and this simple act can provide a number of healthimplications, which help people live longer. In fact, a walking routine, if done properly, might be the only exercise people need.How much walking should one aim for? You’ve likely heard we need 10,000 steps a day. That’s about 5 miles. But contrary to popular belief, this recommendation doesn’t come from science. Instead, itis from a 1960s advertising campaign to promote a pedometer (计步器) in Japan. Perhaps because it’s a round number and easy to remember, it stuck.Since the 1960s, researchers have studied the 10,000-steps-a-day standard and have turned up mixed results. Although 10,000 steps is certainly a healthy and worthwhile goal, it’s not fit for all.For instance, a recent Harvard University study involving more than 16,000 senior women found that those who got at least 4,400 steps a day greatly reduced their risk of dying early when compared with less active women. The study also noted that these benefits continued up to 7,500 steps. This 7,500 mark isn’t surprising: It’s similar to common public health recommendations, such as the Centers for Disease Control and Prevention’s recommendation of 150 minutes of moderate (适度的) physical activity a week for adults.4. What does the underlined word “implications” in Paragraph 2 refer to?A. BenefitsB. Problems.C. Habits.D. Manners.5. Where does the 10,000-steps-a-day standard come from?A. A Harvard University study.B. Science research on health.C. A pedometer advertisement.D. Public health recommendation.6. What can we know from the last paragraph?A. 7,500-steps-a-day standard is the best choice for all.B. More than 16,000 old people were involved in the study.C. Those who walk at least 4,400 steps a day won’t die early.D. 150-minute moderate exercise a week for adults is advised.7. What does the author mainly want to tell readers?A. The more you walk a day, the healthier you will be.B. We can benefit from continuous and proper walking.C. Walking upright helps humankind to explore the world.D. Advertisements can always tell us some scientific suggestions .CI come to theUnited Statesten year ago. I would always say that I was trying to study, but there were always things like work and my kids that would not allow me to start.Now I realized that those were only excuses. What stopped me was that I was afraid to start studying again. I always believed I would learn by myself.One day, however, my son told me that he was sad because his friends would come over and I didn’t understand them because I didn’t speak English. He was also sad because I could never help him with his homework. That same day, I told myself, “Rocio, you have to start believing in yourself and you will see you can make it.”The next day, I went downtown to look for a big banner (横幅) in front of the school which said that they offered classes for adults. I came in to see if I could join, but the classes were closed already. That night I took the kids to the movies, and on the way back, I told them we would take a new route. I ended up getting lost. That’s the way I foundChaffeyCollege. The following Monday, I went to ask for information. They told me that summer school was starting that week.That’s how I started studying English last summer. It is difficult, but I have had great rewards. My daughter had to write a story for school. It was about the female they most admired and why . She wrote that I was the person she most admired because I had started going to College. I will never forget this.8. According to the passage, the author probably is a .A. teacherB. doctorC. fatherD. mother9. What made the author make up her mind to study English?A. What her son said.B. What her daughter said.C. Thinking about herself.D. Thinking about her daughter.10. How did they findChaffeyCollege?A. On the way to the movies.B. They took a new route and got lost.C. Ask a stranger for information.D. According to the banner.11. Which of the following is NOT true?A. The author came to theUnited Statesfrom another country.B. The author had two children at least including one daughter.C. What really changed the author’s life was she believed in herself.D. The author wrote that she was the person her son most admired.DThere have been many fine films over the past several years aboutcharacters struggling with Alzheimer’s disease. But few of them have gone as deeply and frighteningly into the corners of adeterioratingmind as The Father,a powerful new drama built around a spellbinding performance from Anthony Hopkins.At this point in his long career,Hopkinswould seem to have exhausted his ability to surprise us, but his work here is nothing short of astonishing. His character, also named Anthony, is 80 years old and has dementia. At the beginning of the movie, his daughter, Anne — played by Olivia Colman — stops by hisLondonapartment to check on him. Her father's condition has taken a turn for the worse, and his temper has become severe enough to send his latest live in nurse packing. Anthony is stubborn and defiant and insists that he can manage on his own. But that's clearly not the case, given his habit of misplacing his things and his inability to remember names and faces, Anne's included.As The Father goes on, the more it becomes clear that it's his own mind that's playing tricks on him. What makes the movie so unsettling is the way it wires us directly into his subjective experience, so that the foundations of the story seem to shift at random from scene to scene. A man suddenly appears in the apartment, claiming tobe Anne's husband, which is odd, since just a few moments earlier, Anne seemed to be single. Anne goes out shopping for groceries, but when she returns, she's played not by Olivia Colman but by another actress, Olivia Williams. Even the apartment itself begins to shift. You notice puzzling differences-wasn't there a lamp on that hallway table just a moment ago?The story in The Father may be complicated but it's also heartbreakingly simple: man grows old and loses his memory, and his daughter, after lifetime of love and devotion, must begin the long painful process of saying goodbye.Hopkinsshows us Anthony's struggle to keep his sense about him. It's a striking performance-and an impossible one to forget.12. What does the underlined word “deteriorating” mean in the first paragraph?A. Worsening.B. Narrowing.C. Recovering.D. Improving.13. What do we learn about the character Anthony in the movie?A. He can take care of himselfB. He drives away the nurses.C. He is easy-going and forgetful.D. He lives with his daughter all the time.14. The shift of scenes in the movie is designed to .A. build the dramatic tension in the family.B. show off the well-designed story line.C. frighten the movie-goers with mysterious plot.D. involve the viewers into thedisordered memories.15. What does the author think ofHopkins?A. He has run out of his talent.B. He is not suitable for the roleC. He masterly plays the old man.D. He presents an odd performance.第二节(共5小题;每小题2分,满分10分)阅读下面短文,从短文后的选项中选出可以填入空白处的最佳选项。
北京市东城区2020届高三一模考试英语试题含答案
2020北京东城高三一模含答案英语 2020.5第一部分:知识运用(共两节,45分)第一节语法填空(共10小题;每小题1.5分,共15分)阅读下列短文,根据短文内容填空。
在未给提示词的空白处仅填写1个适当的单词,在给出提示词的空白处用括号内所给词的正确形式填空。
AThe goshawk, a rare bird, once close to extinction, has doubled 1 (it) number in a national park in the south of England. Around 100 years ago, there were thought to be no goshawks 2 (leave), due to farmers hunting them and their woodland habitats being cut down. However, thanks to conservationists, goshawks are back. By monitoring their nesting sites over time, the teams have been able to protect them from further forestry work. As a result, their number 3 (grow) from just 20 pairs to 40 pairs in the past two years.BOne morning, I told my husband jokingly that he’d dropped the ball because he hadn’t made me coffee and I was having trouble getting motivated 4 (start) the day. My five-year-old son overheard me and asked what “drop the ball” m eant. I told him it was just something like making a mistake. A few minutes later, he came into our bedroom 5 (hold) an overflowing coffee cup with a dishcloth underneath it to catch the drops. He said to my husband, “You dropped the ball, but I picked the ball up,” and he handed me the worst-tasting, most watered-down but 6 (sweet) cup of coffee ever.CIn half a century, the Internet has transformed society. Billions of us can connect at the touch of a button. Access 7 information, banks and shops has never been easier. The world has changed8 (dramatic) and continues to do so in ways we couldn’t have imagined. However, the Internet isn’t without disadvantages. By design, it has no central authority, 9 makes protecting people online or dealing with misinformation a near-impossible task.10 the Internet develops will shape our future. If the past 50 years has been dominated by free and open exchanges, the next 50 will be about whether rules and restrictions can actually make the Internet, and the world, a better place.第二节完形填空(共20小题;每小题1.5分,共30分)阅读下面短文,掌握其大意,从每题所给的A、B、C、D四个选项中,选出最佳选项,并在答题卡上将该项涂黑。
北京市东城区2020届高三英语上学期期末教学统一检测试题[含答案].doc
北京市东城区2020届高三英语上学期期末教学统一检测试题第一部分:知识运用(共两节,45分)第一节语法填空(共10小题;每小题1.5分,共15分)阅读下列短文,根据短文内容填空。
在未给提示词的空白处仅填写1个适当的单词,在给出提示词的空白处用括号内所给词的正确形式填空。
AChristmas was near. I walked away from my school and followed the worn path through the trees onto the street (1) ______ Cole’s grocery store stood. In my pocket was a collection of coins and bills I (2) ______ (earn) the summer before. Cars ran down the street as I opened the door to the store. The noise of the cars disappeared when the door closed (3) ______ me. I was a kid who felt out of place and on a mission. For the first time, I was going to buy a Christmas gift for my mum and dad.BAccording to a recent study, dolphins have displayed certain characteristics of human conversation in their communication. Two dolphins, Yana and Yasha, (4) ______ (study) as they communicated with each other. Researchers found that they would stop talking in order to listen to (5) ______ the other had to “say”, just like a conversation between two humans. Dolphins have been known to be one of the most intelligent (6) ______ (animal). We have studied dolphins for decades, but this new evidence on their communication patterns is one of the most exciting.CThe Dunhuang Mogao Grottoes is a world heritage (遗产) site (7) ______ (locate) in Gansu Province, Northwest China. In 2016, the first phase of Digital Dunhuang resource database went online. Now people from all over the world can enjoy high-definition images and panoramic (全景的) tours of 30 caves on the Digital Dunhuang website. Digital Dunhuang (8) ______ (integrate) all kinds of data, including videos, 3D data, pictures and others, into digital images that can be shared globally over the Internet, Although the Digital Dunhuang project has a long way (9) ______ (go), it has significant meaning to (10) ______ (culture) heritage protection.第二节完形填空(共20小题;每小题1.5分,共30分)阅读下面短文,掌握其大意,从每题所给的A、B、C、D四个选项中,选出最佳选项,并在答题卡上将该项涂黑。
东城2020高三一模英语试卷及答案word版可编辑
北京市东城区2019—2020学年度第二学期高三综合练习(一)英语本试卷共10页,共120分。
考试时长100分钟。
考生务必将答案答在答题卡上,在试卷上作答无效。
考试结束后,将本试卷和答题卡一并交回。
第一部分:知识运用(共两节,45分)第一节语法填空(共10小题;每小题分,共15分)阅读下列短文,根据短文内容填空。
在未给提示词的空白处仅填写1个适当的单词,在给出提示词的空白处用括号内所给词的正确形式填空。
AThe goshawk, a rare bird, once close to extinction, has doubled 1 (it) number in an ati onal park in the south of En gla nd. Around 100 years ago, there were thought to be no goshawks2_(leave), due to farmers hunting them and their woodla nd habitats being cut dow n. However, thanks to conservationists, goshawks are back. By monitoring their nesting sites over time, the teams have bee n able to protect them from further forestry work. As a result, their nu mber _3(grow) from just 20 pairs to 40 pairs in the past two years.BOne morning, I told my husband jokingly that he 'd dropped the ball because he hadn 't m me coffee and I was havi ng trouble gett ing motivated 4 (start) the day. My five-year-old sonoverheard me and asked what “ drdpe ball ” meattitld him it was just someth ing like making a mistake. A fewminu tes later, he came into our bedroom 5 (hold) an overflow ing coffee cupwith a dishcloth underneath it to catch the drops. He said to my husband, dropped the ball, “ You but I picked the ball up, "and he handed me the worst-tasting, most watered-down but _6 (sweet) cup of coffee ever.In half a century, the Internet has transformed society. Billions of us can connect at the touchof a butt on. Access 7 in formati on, banks and shops has n ever bee n easier. The world haschanged8 (dramatic) and continues to do so in ways we couldn 't have imaginedteHoetever, theisn ' t without disadvantages. By design, it has no central authority, 9 makes protecting people online or dealing with misinformation a near-impossible task.10 the Internet develops will shape our future. If the past 50 years has bee n domin atedby free and ope n excha nges, the n ext 50 will be about whether rules and restricti ons can actually make the Internet, and the world, a better place.第二节完形填空(共20小题;每小题分,共30分)阅读下面短文,掌握其大意,从每题所给的A、B、C、D四个选项中,选出最佳选项,并在答题卡上将该项涂黑。
