高口试卷1997.9
1997年河南省高(中)等学校对rn 口招收职业高中毕业生考试

11997年河南省高(中)等学校对口招收职业高中毕业生考试语文试卷一、填空题(每空1分,共20分)1、《诗经》是我国最早的一部 ___ __,它分为风______、______三部分,_____、比、兴是《诗经》常用的表现手法,“兴”是指:_________________。
2、《梦游天姥吟留别》的作者____ ,字 _____,是 __ 代伟大的浪漫主义诗人,其中"姥"读______。
3、议论文有论点、论据和论证,论点指_______ ____。
论据指______________ __。
论证_________________ ______。
4、《水调歌头·游泳》是毛泽东同志在1936年五、六月间在武汉视察,三游长江后作的一首词。
“水调歌头”是 。
“才饮长沙水,又食武昌鱼”意思是 _________ ______,在这首词的最后,作者赞叹了祖国的巨大变化:“神女应无恙, 。
”5、《包身工》的体裁属于__________。
其作者___ ___。
它以_________________ _为线索,揭露____________________的罪恶实质。
二、选择题(每小题2分,共20分,每小题选项中只有一个正确答案,将其序号填在题前表格内)6、下列成语中加点字的读音、字形全都正确的一组是.................A 、权衡.(h ãng )利弊 求贤若渴.(k ě) 取瑟.(sh â)而歌 沐娱而冠.(gu àn ) B 、穷源溯.(s ù)流 讳疾忌.(j ì)医 璞.(p ú)玉浑金 管窥蠡.(l í)测 C 、睚眦.(zh ì)必报 众口铄.(shu î)金 生杀予.(y ù)夺 实.(sh í)事求是 D 、如愿以尝.(cháng ) 含辛茹.(r ú)苦 人心惟.(w ãi )危 曲高和.(h â)寡 7、下列句子中,加点的词....使用正确的一句是A、临走时,我问他需要不需要从北京带些什么东西?他说得很干脆..,落实政策之后,恢复自由之后,他还没有离开过北大荒,他早该有一次探亲假了。
一九七九年全国高等学校招生考试数学副题及解答(理科)

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1997年普通高等学校招生全国统一考试数学试卷(全国卷.文)答案

参考答案一、选择题:本题考查基本知识和基本运算。
第(1)-(10)题每小题4分,第(11)-(15)题每小题5分.满分65分.(1)B (2)B (3)A (4)C (5)B (6)C (7)D (8)C(9)A (10)B (11)A (12)D (13)C (14)C (15)B二、填空题:本题考查基本知识和基本运算.每小题4分,满分16分.注:第(19)题多填、漏填和错填均给0分.三、解答题(20)本小题主要考查复数的基本概念、复数的运算等基础知识,考查利用三角公式进行变形的技能和运算能力.满分10分.解法一:将已知复数化为复数三角形式:------------2分依题意有 zω+zω3------------8分解法二: zω+zω3=zω(1+ω2)------------4分------------8分(21)本小题主要考查等差数列、等比数列、方程组等基础知识,考查运算能力.满分11分.解:设等差数列{a n}的首项a1=a,公差为d,则通项为a n=a+(n-1)d,前n项和为, ------------2分依题意有其中S5≠0.由此可得------------4分整理得解方程组得------------8分由此得a n=1;------------8分(22)本小题主要考查建立函数关系、不等式性质、最大值、最小值等基础知识,考查综合应用所学数学知识、思想和方法解决实际问题的能力.满分12分.本为, ------------4分故所求函数及其定义域为.------------5分(Ⅱ)依题意知S,a,b,v都为正数,故有.因为c-v≥0,且a>bc2,故有a-bcv≥a-bc2>0,也即当v=c时,全程运输成本y最小.(23)本小题主要考查直线与直线,直线与平面,平面与平面的位置关系,考查逻辑推理和空间想象能力.满分12分.解:(Ⅰ)∵AC1是正方体,∴AD⊥面DC1.又D1F 面DC1,∴AD⊥D1F.------------2分(Ⅱ)取AB中点G,连结A1G,FG.因为F是CD的中点,所以GF、AD平行且相等,又A1D1、AD平行且相等,所以GF、A1D1平行且相等,故GFD1A1是平行四边形,A1G∥D1F.设A1G与AE相交于点H,∠AHA1是AE与D1F所成的角.因为E是BB1的中点,所以Rt△A1AG≌Rt△ABE,∠GA1A=∠GAH,从而∠AHA1=90°,也即直线AE与D1F所成的角为直角. ------------5分(Ⅲ)由(Ⅰ)知AD⊥D1F,由(Ⅱ)知AE⊥D1F,又AD∩AE=A,所以D1F⊥面AED.又因为D 1F 面A1FD1,所以面AED⊥面A1FD1. ------------7分(Ⅳ)∵体积V E-AA1F=V F-AA1E,又FG⊥面ABB1A1,三棱锥F-AA1E的高FG=AA1=2,(24)本小题主要考查对数函数图象、对数换底公式、对数方程、指数方程等基础知识,考查运算能力和分析问题的能力,满分12分.解:(Ⅰ)设点A、B的横坐标分别为x1,x2,由题设知,x1>1,x2>1.则点A、B纵坐标分别为log8x1,log8x2.因为A、B在过点O的直线上,------------2分点C、D坐标分别为(x1,log2x1),(x2,log2x2).,------------4分.由此可知,k1=k2,即O、C、D在同一条直线上.------------7分(Ⅱ)由于BC平行于x轴知log2x1=log8x2,. ------------9分代入x2log8x1=x1log8x2得.由于x1>1知log8x1≠0,.------------12分(25)本小题主要考查轨迹的思想,考查综合运用知识建立曲线方程的能力.满分12分.解:设圆P的圆心为P(a,b),半径为r,则点P到x轴,y轴的距离分别为│b│,│a│.由题设知圆P截x轴所得劣弧对的圆心角为90°,知圆Pr2=2b2------------3分又圆P被y轴所截得的弦长为2,所以有r2=a2+1.从而得2b2-a2=1. ------------6分,------------8分即有a-2b=±1,由此有解方程组得于是r2=2b2=2,所求圆的方程是(x+1)2+(y+1)2=2,或(x-1)2+(y-1)2=2. ------------12分。
1997年普通高等学校招生全国统一考试语文试卷及答案

1997年普通高等学校招生全国统一考试语文试卷本试卷分第Ⅰ卷(选择题)和第Ⅱ卷两部分。
第Ⅰ卷1至6页,第Ⅱ卷7至12页。
共150分。
考试时间150分钟。
第Ⅰ卷(选择题共60分)注意事项1.答第Ⅰ卷前,考生务必将自己的姓名、准考证号、考试科目用铅笔涂写在答题卡上。
2.每小题选出答案后,用铅笔把答题卡上对应题目的答案标号涂黑。
如需改动,用橡皮擦干净后,再选涂其它答案。
不能答在试题卷上。
3.考试结束,将本试卷和答题卡一并交回。
一、(30分)1.下列词语中加点的字,读音全都正确的一组是(2分)2.下列四组词语中都有错别字,其中只有一个错别字的一组是(2分)A.浑浑噩噩针贬时弊狗苟蝇营贪脏枉法B.脱颍而出繁文缛节回肠荡气不径而走C.风声鹤唳纷至踏来积毁消骨穿凿附会D.人才汇萃草菅人命风靡一时步履维艰3.下列句子中标点符号的使用,正确的一句是(2分)A.这个经济协作区,具有大量的技术信息,较强的工业基础,巨大的生活资料、生产资料市场,较丰富的动植物、矿产、海洋、旅游等资源。
B.当太阳完全被月亮的身影遮住时,与神女般若隐若现的"海尔-波普"彗星相比,清晰的水星亮晶晶地伴在被遮黑的太阳旁边,金星、木星也同现在天宇。
C.出版社在1997年第一季度社科新书征订单上提醒邮购者:务必在汇款单上写清姓名及详细地址(汇款单附言栏内注明所购的书名、册数)。
D.今年春季,这个省的沿海地区要完成3700万土方的河堤加高和河口截流改道工程,任务重、工程难、规模大。
4.下列句子中加点的成语,使用恰当的一句是(3分)(1997年)A.那是一张两人的合影,左边是一位英俊的解放军战士,右边是一位文弱的莘莘学子。
B.这次选举,本来他是最有希望的,但由于他近来的所作所为不孚众望,结果落选了。
C.齐白石画展在美术馆开幕了,国画研究院的画家竟相观摩,艺术爱好者也趋之若鹜。
D.这部精彩的电视剧播出时,几乎万人空巷,人们在家里守着荧屏,街上显得静悄悄的。
南昌市97年高三综合测试参考答案-语文试题

南昌市97年高三综合测试参考答案-语文试题-中国教育资源网
1B;2D;3D;4C;5B;6C;7C;8A;9B;10C;11C;12C;13C;14C;15B;16A;17C;18C;19D;20C;21B;22C;23A;24
文学作品本身有着无真实价值;25 ①作品自身的内在价值②驳斥主观论者的“作品的价值完全取决于读者的反应和再创造”的说法;26
大众化的高标准;27 文学作品自身没有任何真实价值,因此道德批评没有必要。
28 D、E;29 (1)精诚所加(至) (2)任尔东南西北风(3)谁言寸草心(4)如履薄冰(5)玉不琢(6)食不甘味30
(1)“等”改为“类”(2)“以”改为“在”或删去“上”字(3)“昂贵”改为“名贵” (4)“健康报、医学科技”改为“《健康报》、《医学科技》”(5)“杂志”改为“报刊”。
31 (1)分别为28.4%、48.6%、23.0%,1993年则为21.2%、51.8%、27.0% (2)改变为1993年的21.2%
、51.8%、27.0%。
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1997年普通高等学校招生全国统一考试

1997年普通高等学校招生全国统一考试物理本试卷分第Ⅰ卷(选择题)和第Ⅱ卷(非选择题)两部分,第Ⅰ卷1至3页,第Ⅱ卷4至11页,共150分,考试时间120分钟.第I卷(选择题共60分)注意事项:1.答第Ⅰ卷前,考生务必将自己的姓名、准考证号、考试科目用铅笔涂写在答题卡上.2.每小题选出答案后,用铅笔把答题卡上对应题目的答案标号涂黑.如需改动,用橡皮擦干净后,再选涂其它答案.不能答在试题卷上.3.考试结束,将本试卷和答题卡一并交回.一、本题共5小题;每小题3分,共15分.在每小题给出的四个选项中只有一项是正确的.1.在卢瑟福的a粒子散射实验中,有少数a粒子发生大角度偏转,其原因是A.原子的正电荷和绝大部分质量集中在一个很小的核上B.正电荷在原子中是均匀分布的C.原子中存在着带负电的电子D.原子只能处于一系列不连续的能量状态中2.质量为m的钢球自高处落下,以速率v1碰地,竖直向上弹回,碰撞时间极短,离地的速率为v2.在碰撞过程中,地面对钢球的冲量的方向和大小为A.向下,m(v1-v2)B.向下,m(v1+v2)C.向上,m(v1-v2)D.向上,m(v1+v2)3.质量为M的木块位于粗糙水平桌面上,若用大小为F的水平恒力拉木块,其加速度为a.当拉力方向不变,大小变为2F时,木块的加速度为a',则A.a'=a B.a'<2a C.a'>2a D.a'=2a4.(1)、(2)两电路中,当a、b两端与e、f两端分别加上220伏的交流电压时,测得c、d间与g、h间的电压均为110伏.若分别在c、d两端与g、h两端加上110伏的交流电压,则a、b间与e、f间的电压分别为A.220伏,220伏B.220伏,110伏C.110伏,110伏D.220伏,05.在双缝干涉实验中,以白光为光源,在屏幕上观察到了彩色干涉条纹,若在双缝中的一缝前放一红色滤光片(只能透过红光),另一缝前放一绿色滤光片(只能透过绿光),这时A.只有红色和绿色的双缝干涉条纹,其它颜色的双缝干涉条纹消失B.红色和绿色的双缝干涉条纹消失,其它颜色的双缝干涉条纹依然存在C.任何颜色的双缝干涉条纹都不存在,但屏上仍有光亮D.屏上无任何光亮二、本题共9小题;每小题5分,共45分.在每小题给出的四个选项中,有的小题只有一个选项正确,有的小题有多个选项正确.全部选对的得5分,选不全的得2分,有选错或不答的得0分.6.在下列核反应方程中,x代表质子的方程是7.光线在玻璃和空气的分界面上发生全反射的条件是A.光从玻璃射到分界面上,入射角足够小B.光从玻璃射到分界面上,入射角足够大C.光从空气射到分界面上,入射角足够小D.光从空气射到分界面上,入射角足够大8.在下列叙述中,正确的是A.物体的温度越高,分子热运动越剧烈,分子平均动能越大B.布朗运动就是液体分子的热运动C.对一定质量的气体加热,其内能一定增加D.分子间的距离r存在某一值r0,当r<r0时,斥力大于引力,当r>r0时,斥力小于引力9.图中重物的质量为m,轻细线AO和BO的A、B端是固定的.平衡时AO是水平的,BO与水平面的夹角为θ.AO 的拉力F1和BO的拉力F2的大小是10.为了增大LC振荡电路的固有频率,下列办法中可采取的是A.增大电容器两极板的正对面积并在线圈中放入铁芯B.减小电容器两极板的距离并增加线圈的匝数C.减小电容器两极板的距离并在线圈中放入铁芯D.减小电容器两极板的正对面积并减少线圈的匝数11.简谐横波某时刻的波形图线如图所示.由此图可知A.若质点a向下运动,则波是从左向右传播的B.若质点b向上运动,则波是从左向右传播的C.若波从右向左传播,则质点c向下运动D.若波从右向左传播,则质点d向上运动12.如图所示的电路中,电源的电动势恒定,要想使灯泡变暗,可以A.增大R1 B.减小R1 C.增大R2 D.减小R213.如图所示的电路中,A1和A2是完全相同的灯泡,线圈L的电阻可以忽略.下列说法中正确的是A.合上开关K接通电路时,A2先亮,A1后亮,最后一样亮B.合上开关K接通电路时,A1和A2始终一样亮C.断开开关K切断电路时,A2立刻熄灭,A1过一会儿才熄灭D.断开开关K切断电路时,A1和A2都要过一会儿才熄灭14.在图示电路的三根导线中,有一根是断的,电源、电阻器R1、R2及另外两根导线都是好的.为了查出断导线,某学生想先将万用表的红表笔连接在电源的正极a,再将黑表笔分别连接在电阻器R1的b端和R2的c端,并观察万用表指针的示数.在下列选挡中,符合操作规程的是A.直流10V挡B.直流0.5A挡C.直流2.5V挡D.欧姆挡第Ⅱ卷(非选择题共90分)注意事项:1.第Ⅱ卷共8页,用钢笔或圆珠笔直接答在试题卷中(除题目有特殊规定外).2.答卷前将密封线内的项目填写清楚.三、本题共3小题;其中第15题5分,其余的每题6分,共17分.把答案填在题中的横线上或按题目要求作图. 15.一游标卡尺的主尺最小分度为1毫米,游标上有10个小等分间隔,现用此卡尺来测量工件的直径,如图所示.该工件的直径为_____________毫米.16.下列给出的器材中,哪些是"验证玻一马定律实验"所必需的,把这些器材前面的字母填在横线上.A.带有刻度的注射器B.刻度尺C.弹簧秤D.钩码若干个答:_____________.实验读数过程中,不能用手握住注射器,这是为了________________.用橡皮帽封住注射器小孔,这是为了___________________________.17.某电压表的内阻在20千欧~50千欧之间,现要测量其内阻,实验室提供下列可选用的器材:待测电压表V(量程3V)电流表A1(量程200μA )电流表A2(量程5mA)电流表A3(量程0.6A)滑动变阻器R(最大阻值1KΩ)电源ε(电动势4V)电键K.(1)所提供的电流表中,应选用_______________________(填写字母代号).(2)为了尽量减小误差,要求测多组数据.试在方框中画出符合要求的实验电路图(其中电源和电键及其连线已画出).四、本题共4小题;每小题5分,共20分.把答案填在题中横线上.18.如图,在x轴的上方(y≥0)存在着垂直于纸面向外的匀强磁场,磁感应强度为B.在原点O有一个离子源向x 轴上方的各个方向发射出质量为m、电量为q的正离子,速率都为v.对那些在xy平面内运动的离子,在磁场中可能到达的最大x=________________,最大y=________________.19.质量为m、电量为q的质点,在静电力作用下以恒定速率v沿圆弧从A点运动到B点,其速度方向改变的角度为θ(弧度),AB弧长为s.则A,B两点间的电势差U A-U B=________________,AB弧中点的场强大小E=________________.20.已知地球半径约为6.4×106米,又知月球绕地球的运动可近似看作匀速圆周运动,则可估算出月球到地心的距离约为________________米.(结果只保留一位有效数字)21.一内壁光滑的环形细圆管,位于竖直平面内,环的半径为R(比细管的半径大得多).在圆管中有两个直径与细管内径相同的小球(可视为质点).A球的质量为m1,B球的质量为m2.它们沿环形圆管顺时针运动,经过最低点时的速度都为v0设A球运动到最低点时,B球恰好运动到最高点,若要此时两球作用于圆管的合力为.零,那么m1,m2,R与v0应满足的关系式是_________________________.五、本题共5小题,53分.解答应写出必要的文字说明、方程式和重要演算步骤.只写出最后答案的不能得分.有数值计算的题,答案中必须明确写出数值和单位.22.(9分)有一个焦距为36厘米的凸透镜,在主轴上垂直放置一支蜡烛,得到一个放大率为4的虚像.如果想得到放大率为4的实像,蜡烛应向哪个方向移动?移动多少?23.(9分)图中竖直圆筒是固定不动的,粗筒横截面积是细筒的4倍,细筒足够长.粗筒中A、B两轻质活塞间封有空气,气柱长l=20厘米.活塞A上方的水银深H=10厘米,两活塞与筒壁间的摩擦不计.用外力向上托住活塞B,使之处于平衡状态,水银面与粗筒上端相平.现使活塞B缓慢上移,直至水银的一半被推入细筒中,求活塞B 上移的距离.设在整个过程中气柱的温度不变,大气压强p0相当于75厘米高的水银柱产生的压强.24.(11分)在方向水平的匀强电场中,一不可伸长的不导电细线的一端连着一个质量为m的带电小球,另一端固定于O点.把小球拉起直至细线与场强平行,然后无初速释放.已知小球摆到最低点的另一侧,线与竖直方向的最大夹角为θ(如图).求小球经过最低点时细线对小球的拉力.25.(12分)质量为m的钢板与直立轻弹簧的上端连接,弹簧下端固定在地上.平衡时,弹簧的压缩量为x0,如图所示.一物块从钢板正上方距离为3x0的A处自由落下,打在钢板上并立刻与钢板一起向下运动,但不粘连.它们到达最低点后又向上运动.已知物块质量也为m时,它们恰能回到O点.若物块质量为2m,仍从A处自由落下,则物块与钢板回到O点时,还具有向上的速度.求物块向上运动到达的最高点与O点的距离.26.(12分)如图1所示,真空室中电极K发出的电子(初速不计)经过U0=1000伏的加速电场后,由小孔S沿两水平金属板A、B间的中心线射入.A、B板长l=0.20米,相距d=0.020米,加在A、B两板间的电压u 随时间t变化的u-t图线如图2所示.设A、B间的电场可看作是均匀的,且两板外无电场.在每个电子通过电场区域的极短时间内,电场可视作恒定的.两板右侧放一记录圆筒,筒在左侧边缘与极板右端距离b=0.15米,筒绕其竖直轴匀速转动,周期T=0.20秒,筒的周长s=0.20米,筒能接收到通过A、B板的全部电子.(1)以t=0时(见图2,此时u=0)电子打到圆筒记录纸上的点作为xy坐标系的原点,并取y轴竖直向上.试计算电子打到记录纸上的最高点的y坐标和x坐标.(不计重力作用)(2)在给出的坐标纸(图3)上定量地画出电子打到记录纸上的点形成的图线.图1图2图31997年普通高等学校招生全国统一考试物理参考答案说明:(1)定出评分标准是为了使全国各地尽可能在统一标准下评定成绩.试题的参考解答是用来说明评分标准的.考生如按其它方法或步骤解答,正确的,同样给分;有错的,根据错误的性质,参照评分标准中相应的规定评分.(2)第一、二、三、四题只要求写出答案,不要求说明理由或列出算式,只根据答案评分.(3)第五大题,只有最后后答案而无演算过程的,不给分;只写出一般公式但未能与试题所给的具体条件联系的,不给分.一.答案及评分标准:全题15分,每小题3分.答错的或不答的,都给0分.1.A 2.D 3.C 4.B 5.C二.答案及评分标准:全题45分,每小题5分.每小题全选对的给5分,选不全的给2分,有选错的给0分,不答的给0分.6.B、C 7.B 8.A、D 9.B、D 10.D11.B、D 12.A、D 13.A、D 14.A三.答案及评分标准:全题17分,其中15题5分,其余的每题6分.答案正确的,按下列答案后面括号内的分数给分;答错的,不答的,都给0分.15.29.80 (5分,答29.8的同样给5分)16.A,B,C,D (2分.选不全的给0分)保持气体的温度恒定(2分)保持气体的质量不变(2分)17.A1 (2分),如右图(4分,线路有错就不给这4分)四.答案及评分标准:全题20分,每小题5分,答案正确的,按下列答案后面括号内的分数给分;答错的,不答的,都给0分.20.4×108 (5分.只要数量级对,就给5分)五.参考解答及评分标准:22.解:先求蜡烛的原位置由放大率公式得v1= 4u1 ①由透镜成像公式②解得再求蜡烛移动后的位置,由放大率公式得v2=4u2 ③由透镜成像公式④解得所以蜡烛应向远离透镜的方向移动,移动的距离为评分标准:本题9分.①式2分,②式1分,③式2分,④式1分,⑤式2分.物体移动方向正确的给1分.23.解: 在以下的计算中,都以1厘米汞柱产生的压强作为压强的单位.设气体初态的压强为p1,则有p1=p0+H ①设S为粗圆筒的横截面积,气体初态的体积V1=S l.设气体末态的压强为P2,有②设末态气柱的长度为l',气体体积为V2=S l'由玻意耳定律得P1V1=P2V2 ③活塞B上移的距离d为④代入数据解得d=8厘米⑤评分标准:本题9分.①式1分,②式2分,③式1分,④式3分,⑤式2分.24.解:设细线长为l,球的电量为q,场强为E.若电量q为正,则场强方向在题图中向右,反之向左.从释放点到左侧最高点,重力势能的减少等于电势能的增加,mg l cosθ=qE l(1+sinθ)①若小球运动到最低点时的速度为v,此时线的拉力为T,由能量关系得②由牛顿第二定律得③由以上各式解得④评分标准:本题11分.①、②式各3分,③式2分,④式3分.25.解:物块与钢板碰撞时的速度①设v1表示质量为m的物块与钢板碰撞后一起开始向下运动的速度,因碰撞时间极短,动量守恒,mv0=2mv1 ②刚碰完时弹簧的弹性势能为E P.当它们一起回到O点时,弹簧无形变,弹性势能为零,根据题给条件,这时物块与钢板的速度为零,由机械能守恒,③设v2表示质量为2m的物块与钢板碰撞后开始一起向下运动的速度,则有2mv0=3mv2 ④仍继续向上运动,设此时速度为v,则有⑤在以上两种情况中,弹簧的初始压缩量都是x0,故有⑥当质量为2m的物块与钢板一起回到O点时,弹簧的弹力为零,物块与钢板只受到重力作用,加速度为g.一过O点,钢板受到弹簧向下的拉力作用,加速度大于g.由于物块与钢板不粘连,物块不可能受到钢板的拉力,其加速度仍为g.故在O点物块与钢板分离,分离后,物块以速度v竖直上升,则由以上各式解得,物块向上运动所到最高点与O点的距离为⑦评分标准:本题12分.①、②、③、④式各1分,⑤式2分,⑥式3分,得出⑦式再给3分.26.解:(1)计算电子打到记录纸上的最高点的坐标设v0为电子沿A、B板的中心线射入电场时的初速度,则①电子在中心线方向的运动为匀速运动,设电子穿过A、B板的时间为t0,则l=v0t0 ②图(1)电子在垂直A、B板方向的运动为匀加速直线运动.对于恰能穿过A、B板的电子,在它通过时加在两板间的电压u c应满足③联立①、②、③式解得此电子从A、B板射出时沿y方向的分速度为④此后,此电子作匀速直线运动,它打在记录纸上的点最高,设纵坐标为y,由图(1)可得⑤由以上各式解得⑥从题给的u-t图线可知,加于两板电压u的周期T0=0.10秒,u的最大值u m=100伏,因为u C<u m,在一个周期T0内,只有开始的一段时间间隔△t内有电子通过A、B板⑦因为电子打在记录纸上的最高点不止一个,根据题中关于坐标原点与起始记录时刻的规定,第一个最高点的x坐标为⑧第二个最高点的x坐标为⑨第三个最高点的x坐标为由于记录筒的周长为20厘米,所以第三个最高点已与第一个最高点重合,即电子打到记录纸上的最高点只有两个,它们的x坐标分别由⑧和⑨表示(2)电子打到记录纸上所形成的图线,如图(2)所示.评分标准:本题12分.第(1)问10分,①、②、③、④、⑤、⑥式各1分,⑦式2分,⑧、⑨式各1分.第(2)问2分,有任何错误都不给这2分.。
1997年普通高等学校招生全国统一考试数学试卷(全国卷.理)答案
参考答案一、选择题:本题考查基本知识和基本运算.第(1)-(10)题每小题4分,第(11)-(15)题每小题5分,满分65分.(1)B (2)B (3)A (4)C (5)B (6)D (7)D(8)C(9)B (10)B (11)A (12)D (13)C (14)C (15)D二、填空题:本题考查基本知识和基本运算.每小题4分,满分16分.注:第(19)题多填、漏填和错填均给0分.三、解答题(20)本小题主要考查复数的基本概念、复数的运算以及复数的几何意义等基础知识,考查运算能力和逻辑推理能力.满分10分.解法一:-------2分于是,.-------5分由此知△OPQ有两边相等且其夹角为直角,故△OPQ为等腰直角三解形. -------------7分解法二:由此得OP⊥OQ,│OP│=│OQ│.由此知△OPQ有两边相等且其夹角为直角,故△OPQ为等腰直角三角形.-------------10分(21)本小题主要考查等比数列的概念、数列极限的运算等基础知识,考查逻辑推理能力和运算能力.满分11分.解:,. -------------3分分两种情况讨论.(Ⅰ)p>1.=p. -------------7分(Ⅱ)p<1.∵ 0<q<p<1,-------11分(22)本小题主要考查建立函数关系、不等式性质、最大值、最小值等基础知识,考查综合应用所学数学知识、思想和方法解决实际问题的能力,满分12分.-------------4分故所求函数及其定义域为.-------------5分(Ⅱ)依题意知S,a,b,v都为正数,故有.因为c-v≥0,且a>bc2,故有a-bcv≥a-bc2>0,也即当v=c时,全程运输成本y最小.(23)本小题主要考查直线与直线、直线与平面、平面与平面的位置关系,考查逻辑推理能力和空间想象能力,满分12分.解:(Ⅰ)∵AC1是正方体,∴AD⊥面DC1.又D 1F 面DC1,∴AD⊥D1F. -------------2分(Ⅱ)取AB中点G,连结A1G,FG.因为F是CD的中点,所以GF、AD平行且相等,又A1D1、AD平行且相等,所以GF、A1D1平行且相等,故GFD1A1是平行四边形,A1G∥D1F.设A1G与AE相交于点H,则∠AHA1是AE与D1F所成的角,因为E是BB1的中点,所以Rt△A1AG≌Rt△ABE,∠GA1A=∠GAH,从而∠AHA1=90°,即直线AE与D1F所成角为直角. -------------5分(Ⅲ)由(Ⅰ)知AD⊥D1F,由(Ⅱ)知AE⊥D1F,又AD∩AE=A,所以D1F⊥面AED.又因为D1F 面A1FD1,所以面AED⊥面A1FD1. -------------7分(Ⅳ)连结GE,GD1.∵FG∥A1D1,∴FG∥面A1ED1,∵AA1=2,(24)本小题主要考查一元二次方程、二次函数和不等式的基础知识,考查综合运用数学知识分析问题和解决问题的能力.满分12分.证明:(Ⅰ)令F(x)=f(x)-x.因为x1,x2是方程f(x)-x=0的根,所以F(x)=a(x-x1)(x-x2).------------2分当x∈(0,x1)时,由于x1<x2,得(x-x1)(x-x2)>0,又a>0,得F(x)=a(x-x1)(x-x2)>0,即x<f(x). ------------4分,所以x1-x>0,1+a(x-x2)=1+ax-ax2>1-ax2>0.得 x1-f(x)>0.由此得f(x)<x1.------------7分(Ⅱ)依题意知因为x1,x2是方程f(x)-x=0的根,即x1,x2是方程ax2+(b-1)x+c=0的根.,------------9分.因为ax2<1,所以.------------12分(25)本小题主要考查轨迹的思想,求最小值的方法,考查综合运用知识建立曲线方程的能力.满分12分.解法一:设圆的圆心为P(a,b),半径为r,则点P到x轴,y轴的距离分别为│b│,│a│.r2=2b2------------2分又圆P截y轴所得的弦长为2,所以有r2=a2+1.从而得2b2-a2=1. -------------5分又点P(a,b)到直线x-2y=0的距离为,-------------7分所以 5d2=│a-2b│2=a2+4b2-4ab≥a2+4b2-2(a2+b2)=2b2-a2=1,当且仅当a=b时上式等号成立,此时5d2=1,从而d取得最小值.-------------10分由此有解此方程组得由于r2=2b2知于是,所求圆的方程是(x-1)2+(y-1)2=2,或(x+1)2+(y+1)2=2. -------------12分解法二:同解法一得∴得①将a2=2b2-1代入①式,整理得②把它看作b的二次方程,由于方程有实根,故判别式非负,即△=8(5d2-1)≥0,得 5d2≥1..将其代入②式得2b2±4b+2=0.解得b=±1.将b=±1代入r2=2b2,得r2=2.由r2=a2+1得a=±1.综上a=±1,b=±1,r2=2.由│a-2b│=1知a,b同号.于是,所求圆的方程是(x-1)2+(y-1)2=2,或(x+1)2+(y+1)2=2. -------------12分。
1997年河南省高级中等学校招生统一考试试卷
1997年河南省高级中等学校招生统一考试试卷数 学注意事项:1.本试卷共七大题,满分100分,考试时间100分钟.请用钢笔或圆珠笔直接答在试卷上. 2.答卷前将密封线内的项目填写清楚.一、填空题:(本题满分40分,每小题2分) 1.-(-2)的相反数是 .2.把多项式2xy 2-x 2y -x 3y 3-7按x 作升幂排列是 . 3.如果x =5,y =7满足kx -2y =1,那么k = .4.当a =-1,b =-2时,代数式a 2−ba的值是 .5.如果a 的平方根是±2,那么a = .6.正比例函数y =kx ,当k <0时,y 随x 的增大而 .7.如果一个角的余角等于这个角的补角的73,那么这个角等于 度.8.函数y =252+-x x中,自变量x 的取值范围是 .9.如图,直线a ∥b ,直线c 与a 、b 都相交,且∠1=80°,那么∠2= 度. 10.如果△ABC 中,∠C =90°,AC =5,BC =12,那么AB 边上的中线长是 .11.计算:32232⎪⎭⎫⎝⎛-⋅⎪⎭⎫ ⎝⎛-a b b a = .12.计算:(x +1)(x 2-x +1)-x (x +2)(x -2)= .13.如图,l 1//l 2//l 3,BC =3,EFDE=2,那么AC = .第9题第13题14.用四舍五入法,对60340取近似值(保留两个有效数字),得60340≈ . 15.分解因式:m 2(m -1)-4(1-m )2= .16.扇形的半径为50cm ,圆心角为288°,这个扇形的弧长等于 cm .17.若反比例函数y =xk的图象在一、三象限,则一次函数y =kx +1的图象在 象限.18.已知等腰梯形的高是3cm ,它的中位线长是6cm ,一个底角是45°,那么这个梯形的下底边的长是 cm .19.如图,O 是圆心,OP ⊥AB ,AP =4厘米,PD =2厘米,那么OP = 厘米.20.如果两圆的圆心距等于2,半径分别是R 和r ,并且R 、r 是方程4x 2-20x +21=0的两个根,那么两圆的位置关系是 . 二、选择题:(本题满分15分,每小题3分).1.不等式组⎪⎩⎪⎨⎧>->-04012x x 的解是( )A .x >21 B .x <4 C .21<x <4 D .x >42.当ab <0时,化简a 2b 的结果是( )A .-abB .a -bC .-a -bD .ab 3.一名射击运动员连续射靶8次,命中的环数如下:8 9 10 9 8 7 10 8这名运动员射击环数的众数与中位数分别是( )A .3与8B .8与8.5C .8.5与9D .8与9 4.下列命题正确的是( )A .如果两个三角形有两条边和其中一边上的中线对应相等,那么这两个三角形全等学校 班级 姓名 考号 .……………………………○…………………………○…………………………○…………………………○…………………………○……………………………………………………………○…………………………密…………………………封…………………………线…………………………○………………………………B .如果两个三角形有两条边和其中一边所对的角对应相等,那么这两个三角形全等C .如果两个直角三角形有一条边和这条边所对的角对应相等,那么这两个三角形全等D .如果两个直角三角形有两锐角对应相等,那么这两个三角形全等 5.如图,从山顶A 望地面C 、D 两点,测得它们的俯角分别为45°和30°,已知CD =100米,点C 在BD 上,则山高AB =( )A .100米B .503米C .502米D .50(3+1)米三、(本题满分12分,每小题4分)1.尺规作图:经过已知直线外一点作这条直线的垂线(写出已知、求作、作法,并画图,不证明).2.化简求值:⎪⎪⎭⎫ ⎝⎛-++x x x x 11÷⎪⎪⎭⎫⎝⎛--+x x x x 11,其中x =22.3.已知一个二次函数的图象经过(0,-3),(3,0),(4,5)三点,求这个函数的解析式.四、(本题满分10分,每小题5分) 1.解方程:12-+x x +21+-x x =25.2.已知□ABCD 的对角线AC 、BD 相交于点O ,△AOB 是等边三角形,AB =4cm ,求这个平行四边形的面积.五、(本题满分7分)从甲站到乙站有150千米,一列快车和一列慢车同时从甲站开出,1小时后,快车在慢车前12千米;快车到达乙站比慢车早25分钟,快车和慢车每小时各走几千米?六、(本题满分7分)如图,△ABC内接于⊙O,AB=AC,AD是⊙O的切线,BD∥AC,BD交⊙O 于点E,连接AE.求证:AE2=DE·DB.七、(本题满分9分)如图,a、b、c分别是△ABC中∠A、∠B、∠C的对边,且a、b是关于x的一元二次方程x2+4(c+2)=(c+4)x的两个根.点D在AB上,以BD为直径的⊙O切AC于点E.(1)判断△ABC的形状;(2)若tanA=43,求AE的长.。
1997普通高等学校招生全国统一考试(理工农医类)数学
一九九七年普通高等学校招生全国统一考试数学试题(理工农医类)一、 选择题: 本大题共15小题; 第(1)—(10)题每小题4分,第(11)—(15)题每小题5分,共65分.1.设集合M= { x | 0 ≤ x < 2 }, 集合N={ x | x 2 –2x –3 <0 }, 集合M ⋂N =_______.(A) { x | 0 ≤ x < 1 } (B) { x | 0 ≤ x < 2 } (C) { x | 0 ≤ x ≤ 1 } (D) { x | 0 ≤ x ≤2 }2.如果直线a x +2 y+2 =0与 直线3x – y – 2 = 0平行, 那么系数a =_______.(A) –3 (B) –6 (C) –32 (D) 323.函数y = tg ( 12 x – 13π ) 在一个周期内的图象是_______.x x5.函数 y = sin(13π –2x) + cos2x 的最小正周期是__________.(A) 12 π (B) π (C) 2π (D) 4π6.满足arccos (1 – x ) ≥ arccos x 的x 的取值范围是________.(A) [ – 1 , – 12 ] (B) [– 12 , 0] (C) [0, 12 ] (D) [12, 1]7.将 y =2 x 的图象____________.(A) 先向左平行移动1个单位 (B) 先向右平行移动1个单位 (C) 先向上平行移动1个单位 (D) 先向下平行移动1个单位 再作关于直线y = x 对称的图象, 可得到函数y = log 2(x+1) 的图象. 8.长方体一个顶点上三条棱的长分别为3, 4, 5, 且它的八个顶点都在同一个球面上, 这个球的表面积是_________.(A) 20 2 π (B)25 2 π (C) 50π (D) 200π32 (D) 2 (C) 31arccos (B) 33arccos(A) ._____________,,2 , 3,.4ππ为面的二面角的大小是与面面棱为则以且的三个侧面与底面全等已知三棱锥BCA BCD BC BC AC AB ABC D ===-x = 1- 1/ t9.曲线的参数方程是 (t 是参数, t ≠ 0), 它的普通方程是⎽⎽⎽⎽⎽⎽. y = 1-t 210.函数 y = cos 2x – 3 cosx + 2 的最小值为________.(A) 2 (B) 0 (C) – 14(D) 611.椭圆C 与椭圆 19 (x –3)2 + 14 (y –2 )2 = 1关于直线x + y = 0对称, 椭圆C 的方程是________.12.圆台上、下底面积分别为π、4π, 侧面积为6π, 这个圆台的体积是⎽⎽⎽⎽⎽⎽⎽⎽⎽⎽⎽.13.定义在区间(–∞, +∞)的奇函数f (x)为增函数;偶函数g (x)在区间 [0,+ ∞)的图象与f (x)的图象重合. 设a > b > 0, 给出下列不等式:f(b) – f (-a) >g(a)-g(-b) f(b) – f (-a) <g(a)-g(-b) f(a) – f (-b) >g(b)-g(-a) f(a) – f (-b) <g(b)-g(-a) 其中成立的是________.(A) 与 (B) 与 (C) 与 (D) 与15.四面体的顶点和各棱中点共10个点,在其中取4个不共面的点, 不同的取法共有⎽⎽⎽⎽⎽⎽⎽.(A) 150种 (B) 147种 (C) 144种 (D) 141种第1页 共 3页一九九七年普通高等学校招生全国统一考试数学答题卷班级: 高______班 姓名: ____________ 学号: ____________ 成绩: ____________一、选择题: 第(1)—(10)题每小题4分, 第(11)—(15)每小题5分, 共65分.19)3(42)(x )( 14)3(92)(x (14)3(92)(x )( 19)3(42)(x )(22222222=-+-=+++=-+-=+++y D y C)y B y A 1x-1xy (D) 1x)-(11y (C) x)-(12)-x(x y (B) 1)1y (1)-(x )A (2222+=-===-337)( 637)( 32 )( 332)(ππππD C B A 3}x 0| x { )( } 6x 0| x { )( } 2.5 x 0 | x { )( } 2 x 0 |{x )(.___________ x2x -2x 3x -3 0 x .14<<<<<<<<⎪⎩⎪⎨⎧+>+>D C B A 的解集是不等式组).(.,,. 2222 , 2123z 32为原点其中是等腰直角三角形证明分别为在复平面上所对应的点复数已知复数O OPQ Q P z z i ∆+=-=ωωω.lim1-∞→n nS S n19.已知m 、l 是直线,α、β是平面,给出下列命题:若l 垂直于 α 内的两条相交直线, 则l ⊥α; 若l 平行于α,则l 平行与α内的所有直线; 若m ⊂ α , l ⊂ β, 且 l ⊥ m , 则 α ⊥ β; 若l ⊂ β , 且l ⊥ α, 则 α ⊥ β; 若m ⊂ α , l ⊂ β, 且 α // β, 则m // l.其中正确的命题的序号是___________________.(注: 把你认为正确的命题的序号都.写上) 三、解答题: 本大题共6小题; 共69分, 解答应写出文字说明、证明过程或演算步骤. 20.(本小题满分10分)21. (本小题满分11分)已知数列 {a n },{b n } 都是由正数组成的等比数列, 公比分别为p, q , 其中p>q , 且p ≠1,q ≠ 1. 设c n = a n + b n , S n 为数列{c n }的前n 项和求.____________8sin 15sin 7cos 8sin 15cos sin718.._____,22)4sin( .17.__________ ,49)2(.1600000039的值为是则极点到该直线的距离程为已知直线的极坐标系方的值为常数的系数为的展开式中已知-+=+-πθρa x x x a22. (本小题满分12分)甲、乙两地相距S千米, 汽车从甲地匀速行驶到乙地, 速度不超过c千米/时. 已知汽车每小时的运输成本........( 以元为单位)由可变部分和固定部分组成: 可变部分与速度v (千米/时)的平方成正比, 比例系数为b; 固定部分为a元.( I) 把全程运输成本......y(元)表示为速度v (千米/时)的函数, 并指出这个函数的定义域;(II) 为了使全程运输成本......最小,汽车应以多大速度行驶?第4 页共6页23. (本小题满分12分) D1 C1如图, 在正方体ABCD-A1B1C1D1中,E、F分别是BB1、CD的中点. A1B1( I ) 证明AD⊥D1F;(II ) 求AE与D1F所成的角; E(III) 证明面AED⊥面A1FD1; D C (IV) 设AA1=2,求三棱锥F-A1ED1的体积V F-A1ED1. FA B24.(本小题满分12分)设二次函数f(x) = ax2 +bx + c (a>0),方程f(x) – x =0的两个根x1 , x2满足0< x1 <x2 < 1a.( I ) 当x (0, x1) 时, 证明x < f(x) < x1;(II ) 设函数f(x)的图象关于直线x = x 0对称,证明x 0< 12x1 .25. (本小题满分12分)设圆满足: 截y轴所得弦长为2 ; 被x轴分成两段圆弧,其弧长的比为3:1.在满足 、 的所有圆中,求圆心到直线l : x – 2y =0的距离最小的圆的方程.。
1997年普通高等学校招生全国统一考数学试题及答案(文)
1997年普通高等学校招生全国统一考试数学(文史类)本试卷分第Ⅰ卷(选择题)和第Ⅱ卷(非选择题)两部分.第Ⅰ卷1至2页.第Ⅱ卷3至8页.共150分.考试时间120分钟.第Ⅰ卷(选择题共65分)注意事项:1.答第Ⅰ卷前,考生务必将自己的姓名、准考证号、考试科目用铅笔涂写在答题卡上. 2.每小题选出答案后,用铅笔把答题卡上对应题目的答案标号涂黑,如需改动,用橡皮擦干净后,再选涂其它答案,不能答在试题卷上.3.考试结束,监考人将本试卷和答题卡一并收回.一、选择题:本大题共15小题;第(1)—(10)题每小题4分,第(11)—(15)题每小题5分,共65分.在每小题给出的四个选项中,只有一项是符合题目要求的(1) 设集合M ={x |0≤x <2},集合N ={x |x 2-2x -3<0},集合M ∩N = ( )(A) {x |0≤x <1} (B) {x |0≤x <2} (C) {x |0≤x ≤1}(D) {x |0≤x ≤2}(2) 如果直线ax +2y +2=0与直线3x -y -2=0平行,那么系数a = ( )(A) -3(B) -6(C) -23(D)32 (3) 函数y =tg ⎪⎭⎫⎝⎛-π3121x 在一个周期内的图像是( )(4) 已知三棱锥D —ABC 的三个侧面与底面全等,且AB =AC =3,BC =2,则以BC 为棱,以面BCD 与面BCA 为面的二面角的大小是( )(A)4π (B)3π (C)2π (D)32π (5) 函数y =sin(3π-2x )+sin2x 的最小正周期是 ( )(A)2π (B)π(C) 2π(D) 4π(6) 满足tg a ≥ctg a 的角a 的一个取值区间是 ( )(A) ⎥⎦⎤⎝⎛40π,(B) ⎥⎦⎤⎢⎣⎡40π,(C) ⎪⎭⎫⎢⎣⎡24ππ,(D) ⎥⎦⎤⎢⎣⎡24ππ,(7) 设函数y =f (x )定义在实数集上,则函数y =f (x -1)与y =f (1-x )的图像关于 ( )(A) 直线y =0对称 (B) 直线x =0对称 (C) 直线y =1对称(D) 直线x =1对称(8) 长方体一个顶点上三条棱的长分别是3,4,5且它的八个顶点都在同一个球面上,这个球的表面积是( )(A) 202π(B) 252π(C) 50π(D) 200π(9) 如果直线l 将圆:x 2+y 2-2x -4y =0平分,且不通过第四象限,那么l 的斜率的取值范围是( )(A) [0,2](B) [0,1](C) [0,21] (D) ⎪⎭⎫⎢⎣⎡210,(10) 函数y =cos 2x -3cos x +2的最小值为 ( )(A) 2(B) 0(C) -41(D) 6(11) 椭圆C 与椭圆()()1429322=-+-y x 关于直线x +y =0对称,椭圆C 的方程是( )(A)()()1934222=+++y x(B)()()1439222=-+-y x(C)()()1439222=+++y x(D)()()1934222=-+-y x(12) 圆台上、下底面积分别为π、4π,侧面积为6π,这个圆台的体积是( )(A)332π(B) π32(C)637π(D)337π(13) 定义在区间(-∞,+∞)的奇函数f (x )为增函数;偶函数g (x )在区间[)∞+,0的图像与f (x )的图像重合.设a >b >0,给出下列不等式( )① f (b )-f (-a )>g (a )-g (-b );② f (b )-f (-a ) < g (a )-g (-b ); ③ f (a )-f (-b )>g (b )-g (-a );④ f (a )-f (-b )<g (b )-g (a ). (A) ①与④(B) ②与③(C) ①与③(D) ②与④(14) 不等式组⎪⎩⎪⎨⎧+->+->x x x x x 22330的解集是( )(A) {x |0<x <2} (B) {x |0<x <2.5} (C) {x |0<x <6}(D) {x |0<x <3}(15) 四面体的一个顶点为A ,从其它顶点与各棱的中点中取3个点,使它们和点A 在同一平面上,不同的取法有( )(A) 30种(B) 33种(C) 36种(D) 39种第Ⅱ卷(非选择题 共85分)注意事项:1.第Ⅱ卷共6页,用钢笔或圆珠笔直接答在试题卷中. 2.答卷前将密封线内的项目填写清楚.二、填空题:本大题共4小题;每小题4分,共16分.把答案填在题中横线上.(16)已知92⎪⎪⎭⎫⎝⎛-x x a 的展开式中x 3的系数为49,常数a 的值为___________ (17)已知直线x -y =2与抛物线y 2=4x 交于A 、B 两点,那么线段的中点坐标是_______(18)︒︒-︒︒︒+︒8sin 15sin 7cos 8sin 15cos 7sin 的值为__________(19)已知m 、l 是直线,α、β是平面,给出下列命题: ①若l 垂直于α内的两条相交直线,则l ⊥α;②若l 平行于α,则l 平行于α内的所有直线; ③若m ⊂α,l ⊂β,且l ⊥m ,则α⊥β; ④若l ⊂β,且l ⊥α,则α⊥β; ⑤若m ⊂α,l ⊂β,且α∥β,则m ∥l .其中正确的命题的序号是___________ (注:把你认为正确的命题的序号都.填上)三、解答题:本大题共6小题;共69分.解答应写出文字说明、证明过程或演算步骤.(20)(本小题满分10分) 已知复数i z 2321+=,i 2222+=ω.求复数3ωωz z +的模及辐角主值. (21)(本小题满分11分)设S n 是等差数列{a n }前n 项的和.已知331S 与441S 的等比中项为551S ,331S 与441S 的等差中项为1.求等差数列{a n }的通项a n .(22)(本小题满分12分)甲、乙两地相距s 千米,汽车从甲地匀速行驶到乙地,速度不得超过c 千米/时.已知汽车每小时的运输成本........(以元为单位)由可变部分和固定部分组成:可变部分与速度v (千米/时)的平方成正比,且比例系数为b ;固定部分为a 元.(Ⅰ)把全程运输成本......y (元)表示为速度v (千米/时)的函数,并指出这个函数的定义域; (Ⅱ)为了使全程运输成本......最小,汽车应以多大速度行驶? (23)(本小题满分12分)如图,在正方体ABCD -A 1B 1C 1D 1中,E 、F 分别是BB 1、CD 的中点.(Ⅰ)证明AD ⊥D 1F ; (Ⅱ)求AE 与D 1F 所成的角; (Ⅲ)证明面AED ⊥面A 1FD 1;(Ⅳ)设AA 1=2,求三棱锥E -AA 1F 的体积F AA E V 1-. (24)(本小题满分12分)已知过原点O 的一条直线与函数y =log 8x 的图像交于A 、B 两点,分别过点A 、B 作y 轴的平行线与函数的y =log 2x 的图像交于C 、D 两点.(Ⅰ)证明点C 、D 和原点O 在同一条直线上; (Ⅱ)当BC 平行于x 轴时,求点A 的坐标. (25)(本小题满分12分)已知圆满足:①截y 轴所得弦长为2;②被x 轴分成两段圆弧,其弧长的比为3:1;③圆心到直线l :x -2y =0的距离为55.求该圆的方程.1997年普通高等学校招生全国统一考试数学试题(文史类)参考解答及评分标准说明:一.本解答指出了每题要考查的主要知识和能力,并给出了一种或几种解法供参考,如果考生的解法与本解答不同,可根据试题的主要考查内容比照评分标准制订相应的评分细则.二.对计算题,当考生的解答在某一步出现错误时,如果后继部分的解答未改变该题的内容和难度,可视影响的程度决定后继部分的给分,但不得超过该部分正确解答应得分数的一半;如果后继部分的解答有较严重的错误,就不再给分.三.解答右端所注分数,表示考生正确做到这一步应得的累加分数. 四.只给整数分数.选择题和填空题不给中间分.一、选择题:本题考查基本知识和基本运算.第(1)—(10)题每小题4分,第(11)—(15)题每小题5分.满分65分.(1)B (2)B (3)A (4)C (5)B (6)C (7)D (8)C (9)A (10)B (11)A (12)D (13)C (14)C (15)B二、填空题:本题考查基本知识和基本运算.每小题4分,满分16分.(16)4 (17) (4,2) (18)2-3 (19)①,④ 注:第(19)题多填、漏填和错填均给0分.三、解答题(20)本小题主要考查复数的基本概念、复数的运算等基础知识,考查利用三角公式进行变形的技能和运算能力.满分10分.解法一:将已知复数化为复数三角形式:3sin 3cos 2321ππi i z +=+=, i 2222+=ω 4sin4cosππi +=依题意有z ω+z ω3=(cos 127π+i sin 127π)+(cos 1213π+i sin 1213π) =(cos 127π+cos 1213π)+i (sin 127π+sin 1213π)=2cos 4π(cos 65π+i sin 65π)故复数z ω+z ω3的模为2,辐角主值为65π.解法二:z ω+z ω3 = z ω(1+ω2) =(21+23i )(22+22i )(1+i ) =2(-23i +21i ) =2(cos65π+i sin 65π) (21)本小题主要考查等差数列、等比数列、方程组等基础知识,考查运算能力.满分11分.解:设等差数列{a n }的首项a 1=a ,公差为d ,则通项为 a n =a +(n -1)d , 前n 项和为()d n n na S n 21-+=,依题意有⎪⎪⎩⎪⎪⎨⎧=+⎪⎭⎫ ⎝⎛=⋅24131514131432543S S S S S 其中S 5≠0. 由此可得⎪⎪⎩⎪⎪⎨⎧=⎪⎭⎫ ⎝⎛⨯++⎪⎭⎫ ⎝⎛⨯+⎪⎭⎫⎝⎛⨯+=⎪⎭⎫ ⎝⎛⨯+⨯⎪⎭⎫ ⎝⎛⨯+223444122333124552512344412233312d a d a d a d a d a整理得⎪⎩⎪⎨⎧=+=+22520532d a d ad 解方程组得⎩⎨⎧==1a d ⎪⎩⎪⎨⎧=-=4512a d 由此得 a n =1;或 a n =4-512(n -1) =532-512n .经验证知时a n =1,S 5=5,或n a n 512532-=时,S 5=-4,均适合题意. 故所求等差数列的通项为a n =1,或n a n 512532-=. (22)本小题主要考查建立函数关系、不等式性质、最大值、最小值等基础知识,考查综合应用所学数学知识、思想和方法解决实际问题的能力.满分12分.解:(1)依题意知汽车从甲地匀速行驶到乙地所用时间为vs,全程运输成本为 y =a ·v s +bv 2·v s =S (va+bv ) 故所求函数及其定义域为y = S (va+bv ),v ∈(]c ,0 (Ⅱ)依题意知S 、a 、b 、v 都为正数,故有 S (va+bv )≥2ab S . 当且仅当bv v a =,即ba v =时上式中等号成立. 若c b a ≤,则当b av =时,全程运输成本y 最小. 若c ba>,当(]c x ,0∈时,有 S (v a +bv )-S (c a +bc )= S [(v a -c a )+(bv -bc )]=vcS (c -v )(a -bcv ). 因为c -v ≥0,且a >bc 2,故有 a -bcv ≥a -bc 2>0, 所以S (v a +bv )≥S (ca+bc ),且仅当v =c 时等号成立. 也即当v =c 时,全程运输成本y 最小. 综上知,为使全程运输成本y 最小,当c b ab ≤时行驶速度应为b ab v =;当cbab>时行驶速度应为.(23)本小题主要考查直线与直线,直线与平面,平面与平面的位置关系,考查逻辑推理和空间想象能力.满分12分.解:(Ⅰ) ∵ AC 1是正方体, ∴ AD ⊥面DC 1. 又D 1F ⊂面DC 1, ∴ AD ⊥D 1F .(Ⅱ)取AB 中点G ,连结A 1G ,FG .因为F 是CD 的中点,所以GF 、AD 平行且相等,又A 1D 1、AD 平行且相等,所以GF 、A 1D 1平行且相等,故GFD 1A 1是平行四边形,A 1G ∥D 1F .设A 1G 与AE 相交于点H ,∠AHA 1是AE 与D 1F 所成的角.因为E 是BB 1的中点,所以Rt △A 1AG ≌Rt △ABE ,∠GA 1A =∠GAH , 从而∠AHA 1=90º,也即直线AE 与D 1F 所成的角为直角.(Ⅲ)由(Ⅰ)知AD ⊥D 1F ,由(Ⅱ)知AE ⊥D 1F ,又AD ∩AE =A , 所以D 1F ⊥面AED .又因为D 1F ⊂面A 1FD 1,所以面AED ⊥面A 1FD 1. (Ⅳ)∵ 体积E AA F F AA E V V 11--=,又FG ⊥面ABB 1A 1,三棱锥F -AA 1E 的高FG =AA 1=2,面积 E AA S 1∆=21S □11A ABB =21×22=2. ∴F AA E V 1-=31×E AA S 1∆×FG =31×2×2=34(24)本小题主要考查对数函数图像、对数换底公式、对数方程、指数方程等基础知识,考查运算能力和分析问题的能力,满分12分.解:(Ⅰ)设点A 、B 的横坐标分别为x 1、x 2由题设知,x 1>1,x 2>1.则点A 、B 纵坐标分别为log 8x 1、log 8x 2.因为A 、B 在过点O 的直线上,所以,228118log log x x x x =点C 、D 坐标分别为(x 1,log 2x 1),(x 2,log 2x 2). 由于log 2x 1=2log log 828x -3 log 8x 1,log 2x 2=2log log 828x =3log 8x 2OC 的斜率 1181121log 3log x x x x k ==, OD 的斜率 2282222log 3log x x x x k ==. 由此可知,k 1=k 2,即O 、C 、D 在同一条直线上. (Ⅱ)由于BC 平行于x 轴知log 2x 1= log 8x 2, 即得 log 2x 1=31log 2x 2, ∴ x 2=31x .代入x 2log 8x 1=x 1log 8x 2得31x log 8x 1=3x 1log 8x 1.由于x 1>1知log 8x 1≠0,∴ 31x =3x 1.考虑x 1>1解得x 1=3.于是点A 的坐标为(3,log 83).(25)本小题主要考查轨迹的思想,考查综合运用知识建立曲线方程的能力.满分12分. 解:设圆P 的圆心为P (a ,b ),半径为γ,则点P 到x 轴,y 轴的距离分别为|b |,|a |.由题设知圆P 截x 轴所得劣弧对的圆心角为90º,知圆P 截x 轴所得的弦长为r 2.故r 2=2b 2又圆P 被y 轴所截得的弦长为2,所以有 r 2=a 2+1.从而得2b 2-a 2=1.又因为P (a ,b )到直线x -2y =0的距离为55,所以5552b a d -=,即有 a -2b =±1, 由此有⎩⎨⎧=-=-121222b a a b ⎩⎨⎧-=-=-121222b a a b 解方程组得⎩⎨⎧-=-=11b a ⎩⎨⎧==11b a 于是r 2=2b 2=2, 所求圆的方程是(x +1)2+(y +1)2=2,或(x -1)2+(y -1)2=2.一九九七年(文科)一.选择题:本题共15个小题;第(1)-(10)题每小题4分,第(11)-(15)题每小题5分,共65分。
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1997.9上海市英语高级口译资格证书第一阶段考试SECTION 1:LISTENING TEST (30 minutes)Part A: Spot DictationDirections:In this part of the test, you will hear a passage and read the same passage with blanks in it. Fill in each of the blanks with the word or words you have heard on the tape. Write your answer in the corresponding space in your ANSWER BOOKLET. Remember you will hear the passage only once.Today I'm going to consider very briefly a problem concerned with the competition for land use, that is, whether crops should be used to produce food or should be used to _________(1) and in considering this problem I will look at ________(2): the historical background to the problem, the economic involved in the competition for land use, some examples, and ________(3) to a potential problem.In considering the historical background we should ___________(4) of the 1970s due to the rapid trend in increasing oil prices. Many countries have looked for ____________(5) to make them independent of other countries' _____________(6). Examples of alternative energy sources include such things as solar power. the ____________(7), and also the production of biogas. Biogas is methane which is produced from _____________(8).A particularly interesting possibility for many developing countries has been the ___________(9) to alcohol. This is interesting because in many developing countries there is a ____________(10) and at the same time a small industrial sector and thus the ____________(11) the agricultural sector to produce fuel is of interest to those countries.Research is going on ___________(12), for example, from sugar and there are two main economic reasons for this. First of all, the world price of sugar _________(13) or the world price of sugar has fallen in very real terms __________(14). This has caused a problem for those economics which are ____________(15) their sugar production, as it gives them an alternative possibility for ______________(16). And secondly sugar is the most efficient source of alcohol, therefore, it is __________(17) to make fuel by distilling alcohol from it.In addition to sugar there are _______(18) that can be used to make alcohol, for example, ____________(19) such plants as the cassava plant and the sweet potato are good sources from which alcohol can be made and in non-tropical countries you have such things as __________(20).Part B: Listening ComprehensionDirections: In this part of the test there will be some short talks and conversations. After each one, you will be asked some questions. The talks, conversations and questions will be spoken only once. Now listen carefully and choose the right answer to each question you have heard andwrite the letter of the answer you have chosen in the corresponding space in your ANSWER BOOKLET.Questions 1 to 5 are based on the following conversation.1. (A) Blue. (B) Green.(C) Red. (D) Yellow.2. (A) "Swimming". (B) "Wills's Woodbines".(C) A petrol company badge. (D) "Tidy".3. (A) In the early 1900s. (B) In the early 1950s.(C) Around 1945. (D) After 1955.4. (A) "Smoked by Millions". (B) "Bought by Millions."(C) "Love for Humankind". (D) "I've been to Disneyland."5. (A) Two (B) Three(C) Four (D) FiveQuestions 6 to 10 are based on the following news.6. (A) 25% (B) 35%(C) 45% (D) 75%7. (A) Inadequate pay.(B) Short-staffing at air-traffic control centers.(C) Certain government welfare policies.(D) The company pension scheme proposals.8. (A) There was a substantial increase in the number of employment.(B) Just over 12,000 people were still unemployed last month.(C) The unemployment situation has got a little better.(D) There is no real reduction in unemployment.9. (A) More than fourteen-million-pound worth of jewellery.(B) Over forty-million-pound worth of jewellery.(C) Over one-quarter million pound of cash.(D) A very large but unspecified amount of money.10. (A) A woman and a child. (B) Three men.(C) Three men and a woman. (D) Three men, a woman and a child.Questions 11 to 15 are based on the following intervies.11. (A) A South African Businessman.(B) A British diamond supplier.(C) An American writer and journalist.(D) A chief executive officer of De Beers Corporation.12. (A) Because they are difficult to mine.(B) Because they are rare.(C) Because they are sort of marriage license.(D) Because they are controlled by a monopoly.13. (A) An advertising agency for diamonds (B) A South African diamond company.(C) A Belgian diamond cutter. (D) A Japanese diamond designer.14. (A) Russia. (B) Japan.(C) Israel. (D) Belgium.15. (A) Diamonds are a good investment.(B) Diamonds are expensive because there is a monopoly.(C) Diamonds are an international symbol of marriage.(D) Diamonds are rare and therefore precious.Questions 16 to 20 are based on the following talk.16. (A) The dangers of computer use to health.(B) The dangers and benefits of computer use.(C) Computer use and personal privacy.(D) Computer use and national or industrial security.17. (A) Less than 25%. (B) About 35%.(C) More than 45%. (D) Around 55%.18. (A) USA. (B) UK.(C) Australia. (D) Denmark.19. (A) Disturbance to vision. (B) Increased stress.(C) Abnormality in pregnancy. (D) Skin disease.20. (A) Because they stay longer hours in front of the terminal screen than do professional users.(B) Because they use computers in places without safeguards against potential risks.(C) Because they usually use computers of an inferior quality.(D) Because they use computers only for interest or pleasure.SECTION 2: READING TEST (30 minutes)Directions:In this section you will read several passages. Each one is followed by several questions about it. You are to choose ONE best answer, (A), (B), (C) or (D), to each question. Answer all the questions following each passage on the basis of what is stated or implied in that passage and write the letter of the answer you have chosen in the corresponding space in your ANSWER BOOKLET.Questions 1~5British Aerospace is planning to set up its own university because it cannot recruit the skilled graduates it needs from existing institutions.BAe has a team drafting a range of options for the university, which would award its own degrees. Work on the scheme is expected to start in the next few months.Sir Richard Evans, chief executive of British Aerospace, has already launched a recruiting drive for engineers on the Continent because of a shortage of high-calibre domestic candidates. Advertising campaigns in France, Germany and other European countries will seek to attract students expecting to graduate in the summer.Other engineering employers are expe3cted to follow suit. The move to take on overseas graduates comes after BAe left one in five of its graduate places unfilled last year, blaming shortcomings in the education system.If the scheme is approved, BAe will either build a full university or incorporate sites at its main research and manufacturing centres at Farnborough, Surrey, and Warton, Lancashire. The company would have to convince the education authorities that the university had sufficient teaching capacity and autonomy for it to be allowed to award degrees. BAe said it was setting up its own education system and recruiting staff abroad because "there is a shortage of engineering graduates, both in terms of quantity and quality".The Engineering Employers' Federation said that skill shortages were an urgent problem. Rolls-Royce, another large engineering employer, said there was a general skill shortage, although it had filled its graduate quota. Rolls will soon recruit internationally to reflect its expanding international operations.Engineering's failure to attract students has been attributed to poor pay and long-term prospects, given the decline in British manufacturing. BAe would not reveal how much it pays graduates, but Lucas Variety, a large engineering employer, paid a starting salary of £14,200 last year. That compares with an average graduate starting salary of £15,300, according to Income Data Services.British universities have found it increasingly difficult to recruit well-qualified undergraduates. Even Oxford and Cambridge fail to meet their quotas in many engineering subjects.Alan Smithers, whose Centre for Education and Employment Research, at Brunel University, produced a report on the supply of science and engineering graduates early this year, said that the discipline had been over expanded. "There is now a lack of quality to withstand competition in an increasingly international sphere. Companies go where they can find the best candidates."Engineering does not enjoy the high status in Britain that it occupies in other parts of the world. Courses in other parts of Europe and the Far East command among the highest entry requirements of all degree subjects and take five years, rather than the norm of three in Britain.1. British Aerospace is recruiting engineers on the Continent ______.(A) as the pay for them can be much lower(B) as there are not enough well-qualified candidates at home(C) to compete with France, Germany and other European countries(D) to set up a university of its own.2. In the passage, the expression "to follow suit" in the sentence "Other engineering employers are expected to follow suit" (para. 4) can best be paraphrased as _______.(A) to join BAe in its recruiting scheme (B) to take the unanimous action(C) to recruit graduates overseas (D) to establish universities3. Which of the following is NOT the reason that engineering courses fail to attract British students?(A) The decline of British manufacturing industry.(B) The recruitment of engineers abroad.(C) The lower pay for engineering graduates.(D) The long and slow process of success and promotion after graduation.4. "Oxford" and "Cambridge" are mentioned in the passage to show that _______.(A) they are the world famous universities.(B) they are not cooperating with British Aerospace(C) they are reforming the engineering education(D) they can not fulfil their recruitment quotas in engineering5. Which of the following best summarizes the main idea of the passage?(A) There should be further cooperation between British Aerospace and Higher Institutions(B) Shortage of engineers leads BAe to plan its own university(C) British Higher Education has recently been reevaluated(D) British Engineering education is severely criticized for its lack of qualityQuestion 6~10In an unprecedented trans-European strike, Renault workers yesterday staged simultaneous stoppages in France, Belgium and Spain to protest against the car maker's decision to close its factory at Vilvoorde in Belgium and cut 6,000 jobs.Despite union fury and a storm of criticism from French politicians and the European Commission, Louis Schweitzer, the Renault chairman, insisted that the closure of the Belgian factory in July with the loss of 3,100 jobs was traumatic but necessary. "It's a brutal, hard and painful decision," Mr. Schweitzer said. "If we do nothing, the company will be."Up to one third of workers downed tools for one hour during each shift in Paris and other parts of France, while Belgian demonstrators from the threatened Vilvoorde plant massed outside the French Embassy in Brussels and threw a car chassis across police barricades. Belgian Renault dealers across the country joined the protest by shutting up shop.The Renault board has approved a plan to shed an additional 2,764 jobs in France, where stoppages began overnight at the Renault factory in Le Mans, and continued yesterday at plants in Cleon, Sandouville and Douai.About 90 per cent of workers at four Renault plants in Spain downed tools for one hour and employees at factories operated in Belgium by General Motors, V olkswagen, Ford, Opel and V olvo also staged one-hour strikes in solidarity with their Renault counterparts.Workers at Renault plants in Portugal, however, did not respond to the strike call.Union leaders last night hailed the so-called "Eurostrike" as proof of cross-border workers' unity in the face of glaring gaps in European social legislation.Mr. Schweitzer suggested that a new use might be found for the Vilvoorde factory and that some workers may be transferred to other plants, but he showed no sign of backing off from the radical restructuring plan.Critics claim that he is callously taking advantage of different labour costs across Europe,and on Thursday Karl Van Miert, the European Commissioner, announced he was blocking Spanish investment subsides for Renault on the grounds that it was "absurd" to close the profitable Belgian plant.The Spanish Government yesterday decided to suspend its request for approval of an 8 million subsidy it had planned to provide for a Renault investment in Valladolid.The management of the newly-privatised French automaker claims that the Vilvoorde plant was singled out because it has the highest production costs.While President Chirac of France has expressed "shock" at the abrupt way the closure was announced, as Mr. Schweitzer pointed out "the French Government has not said that the decision should be altered, corrected or that it was not good for the company".6. The Belgians demonstrated outside the French Embassy in Brussels ______.(A) to protest against French President Chirac's speech(B) to support French workers' strike at Renault plants(C) to protest against the closure of the Vilvoorde factory by the French car maker(D) to voice their solidarity with all Renault workers7. It can be concluded from the passage that ______.(A) about 6,000 jobs will be cut from the Renault factory at Vilvoorde in Belgium(B) one third of workers in the Vilvoorde factory will lose their jobs(C) about 6,000 workers will be laid off from Renault factories in Belgium and France(D) the strikes at Renault plants in Belgium and France will lead to a dismissal of about 6,000workers8. According to the passage, the workers at factories operated in Belgium by General Motors,V olkswagen, Ford, Opel and V olvo staged strikes _____.(A) to protest against the closure of their plants(B) to demand higher wages(C) to demand more subsidies from their governments(D) to support workers in Renault plants9. The expression "was singled out" (para. 11) can be replaced by which of the following?(A) was closed down (B) was chosen(C) was reconstructed (D) was separated10. Which of the following is NOT true according to the passage?(A) Renault workers in several European countries staged strike against the closure of theVilvoorde factory.(B) The French Government planned to take action to change the decision of the Renaultboard.(C) The decision to close the Renault factory in Vilvoorde met strong criticism from differentcircles.(D) The labour costs of automobile industry vary greatly from country to country, even inEurope.Question 11~15The Australian art world swooned when they saw the work of "Aboriginal" painter Eddie Burrup, whose haunting canvases depicted Aboriginal "Dreamtime" legends.The only trouble is, Eddie Burrup does not exist. He is a figment of the imagination of an 82-year-old white woman whose hoax has embarrassed the cognoscenti and infuriated the nation's indigenous artists. Not since Brisbane literary award winner, Helen Demidenko, admitted she fooled the publishing world in 1995 by assuming a false identity, have Australia's artistic elite been so humbled.The elderly painter who so successfully pulled the wool over everyone's eyes, is in fact Elizabeth Durack, a pastoralist, author and amateur anthropologist who lives in the remote Kimberley region of Western Australia. Under Burrup's fictitious name, she produced a range of critically acclaimed work, including paintings, photographs and even an autobiography. Everyone assumed Burrup was recluse living a hermit's existence in the Outback."His" creations were so impressive that they even featured in a touring Aboriginal art show. This month some of the works were due to be entered for the highly respected Sulman Prize, to be announced on March 21. But after yesterday's revelation "Burrup's" work will almost certainly be withdrawn.Durack, of Irish descent, is a member of one of the country's most famous pioneering families. She is a well-know painter in her own right and confessed to her deception in an arts magazine, but refused to explain her motivation. "It's my last creative phase," was all she would say.However, art historian Robert Smith, a close family friend, defended her actions. "she has created a character, just a playwright or a poet or a novelist will create a character," he said. "She hasn't appropriated any motifs or themes, or forms of Aboriginal art at all," he insisted.Members of the Aboriginal art community were less forgiving, claiming she had stolen indigenous culture. "It's the last thing left that you could possibly take away other than our lives or shoot us all." John Mundine, an Aboriginal art curator, said. Doreen Mellor, senior curator at Flinders Art Museum in Adelaide, said: "As an Aboriginal person I feel really offended."Ironically, the Durack family probably has a deeper knowledge of Aboriginal affairs than many other white settlers, having lived among Australia's indigenous people in Kimberley for nearly 180 years. In the last century the Duracks had a reputation as the only family of pastoralists who did not shoot Aborigines.11. According to the passage. Eddie Burrup _______.(A) is an 82-year-old female painter(B) has long fascinated the Australian art world(C) has lived in Western Australia for many years(D) is an imaginary male Aboriginal painter12. According to the passage, the Australian artistic circles ______.(A) highly appreciate the work of Eddie Burrup(B) do not cosider Durack to be an artist(C) felt cheated by the trick of Elizabeth Durack(D) acknowledged Durack's contribution to the Aboriginal art13. It can be concluded from the passage that ______.(A) Durack imitated paintings from other Aboriginal artists(B) Durack lacked confidence in her own painting skills(C) Durack knew much about Aboriginal culture(D) Durack devoted all her life to the creation of Eddie Burrup14. The word "appropriated" in the sentence "She hasn't appropriated any motifs or themes, orforms of Aboriginal art at all," (para. 6) can be replaced by which of the following?(A) made proper use of (B) used as her own invention(C) imitated and copied (D) studied and designed15. Which of the following can NOT be inferred from the passage?(A) Many white men killed or injured the native people in Australia in the last century.(B) The Durack family have been hostile to Australia's natives.(C) The Aboriginal artists criticised Durack's deceptive behaviour.(D) Some people felt sympathetic with Durack after the revelation of her deception.Question 16~20The medical world was thrown into confusion yesterday when a judge ruled that food and hydration could be withdrawn from a 29-year-old woman, even though doing so would not strictly follow rules laid down by the Royal College of Physicians.The woman, known as Miss D, was suffering a "living death" and the time had come for "merciful relief," said Sir Stephen Brown, President of the High Court Family Division.The case breaks new ground because in previous cases where doctors have applied to turn off life-support machines of seriously brain-damaged patients, the victims have been in a "persistent vegetative state"(PVS).Miss D was not considered by experts to be in a PVS because she could track movement with her eyes and responded to cold water being poured into her ears.James Munby QC, who was appointed to represent the woman's interests, told Sir Stephen that the reason the Royal College had been anxious to identify what he had called a "bright line" over which the boundaries should not be pushed was because there was always a danger of going down a "slippery slope". But the judge, in his ruling said that all the consultants, doctors, medical team and family were agreed that Miss D had no awareness of her surroundings or herself, and all the evidence was that there was "no possibility of any meaningful life whatsoever". Sir Stephen said that he did not feel he was altering the boundaries of who could be allowed to die. "I am driven to the conclusion... that it is in this patient's best interest to withdraw the artificial feeding and hydration which is keeping her body alive."But the judgement was condemned by the anti-euthanasia group. Alert, which said the "barbaric practice" of cutting off life support systems to braindamaged patients should be banned. Dr. Peggy Norris, chairwoman of Alert, said: "Withholding food and fluids from a personcapable of experiencing thirst had been used as a form of torture."The British Medical Association took the vies, however, that the judgement did not extend the categories of patients from whom nutrition and hydration can be withdrawn. "It is an acknowledgment that it would be ethically acceptable to consider withdrawal of nutrition and hydration from and individual who has permanently lost his or her sentience and awareness," a spokesman said.Miss D was at university when she was seriously injured in a road accident in 1989. She recovered enough to walk round in familiar surroundings, but in 1995 was found unconscious in her bed, probably having had an epileptic fit. She has never subsequently recovered consciousness.This week her feeding tube had become dislodged, and a small operation would have been needed to replace it. Consequently the hospital trust caring for her had applied to the court for a declaration that it was lawful to "discontinue all life sustaining treatment." Its request was upheld.A spokesman for the Royal College of Physicians said the decision had caused confusion. "We set up a working group to produce guidelines, in order to help doctors in a difficult situation. But they are only guidelines and the judge is not obliged to follow them. The judgement does not change them, but it seems to be leading to some uncertainty among doctors."16. The case which concerns Miss D is mainly about ______.(A) whether she was in a "persistent vegetative state"(B) if she should be given further medical treatment(C) which method to be used to recover her consciousness(D) whether the withdrawal of food and fluids from her is justifiable17. In the passage, the expression "breaks new ground" (para. 3) can be paraphrased as which ofthe following?(A) makes new discoveries (B) provides further opportunities(C) brings new problems (D) makes breakthroughs18. What is the major issue of the argument according to the passage?(A) The redefinition of "persistent vegetative state."(B) The stoppage of life sustaining treatment to non PVS patients.(C) The ethical issues in treating PVS patients.(D) The distinctions between PVS and non PVS patients.19. It can be concluded that the author of the passage ______.(A) gives his personal opinion about the issue in question(B) reaches a comprehensive conclusion in the end(C) provides a detailed introduction on the issue of euthanasia(D) offers an objective report on different views towards the issue20. According to the spokesman for the Royal College of Physicians, the judgement has ______.(A) set a precedent for future cases(B) strictly followed the guidelines set up by the Royal College of Physicians(C) brought about certain confusion in the medical profession(D) led to strong opposition in the medical worldSECTION 3: TRANSLATION TEST (30 minutes)Directions:Translate the following passage into Chinese and write your version in the corresponding space in your ANSWER BOOKLET.A commonplace criticism of American culture is its excessive preoccupation with material goods and corresponding neglect of the human spirit. Americans, it is alleged, worship only "the almighty dollar." We scramble to "keep up with the Joneses." The love affair between Americans and their automobiles has been a continuing subject of derisive commentary by both foreign and domestic critics. Americans are said to live by a quantitative ethic. Bigger is better, whether in bombs or sedans. The classical virtues of grace, harmony, and economy of both means and ends are lost on most Americans. As a result, we are said to be swallowing up the world's supply of natural resources, which are irreplaceable. Americans constitute 6 percent of the world's population but consume over a third of the world's energy. These are now familiar complaints. Indeed, in some respects Americans may believe the "pursuit of happiness" to mean the pursuit of material things.SECTION 4: LISTENING TEST (30 minutes)Part A: Note-taking and Gap-fillingDirections: In this part of the test you will hear a short talk. You will hear the talk only once. While listening to the talk, you may take notes on the important points so that you can have enough information to complete a gap-filling task on a separate ANSWER BOOKLET. You are required to write ONE word or figure only in each blank. You will not get your ANSWER BOOKLET until after you have listened to the talk.I want to discuss problems of ___________(1) and three possible policies which could stop ________(2) urbanization in developing countries.Certain urban problems are ____________(3) to both developed and developing countries, for example, poor housing, __________(4), traffic congestion and pollution. But there are problems which are __________(5) to developing countries and this is due to the need of these countries to provide a basic infrastructure necessary for ____________(6). The provision of this infrastructure is the urbanization process itself.There are five main _____________(7) of this uncontrolled urbanization: Firstly, people __________(8) from the country to the city because they see the city as a more __________(9) place to live. Secondly, rural areas thus become less ______________(10) and this causes a decrease in the production of food. Thirdly, There is a high urban population growth rate. Fourthly, There is a dramatic __________(11) on the supply of social services, especially those services related to education and ___________(12), and finally uncontrolled urbanization leads to an ___________(13) of labour supply in the cities.There are three policies which could __________(14) this kind of uncontrolledurbanization in ____________(15) countries. Firstly, to promote a more equal _________(16) distribution. In this way farmers would be more __________(17) to stay on the land. Secondly, to improve the supply of social services in the __________(18) areas, particularly in the field of health and education. And thirdly, to give _________(19) assistance to agriculture, especially to the small _________(20).Part B: Listening and TranslationⅠ. Sentence TranslationDirections:In this part of the test, your will hear 5 English sentences. You will hear the sentences only once. After you have heard each sentence, translate is into Chinese and write your version in the corresponding space in your ANSWER BOOKLET.(1)___________________________________________________________________________ _____________________________________________________________________________ (1)___________________________________________________________________________ _____________________________________________________________________________ (2)___________________________________________________________________________ _____________________________________________________________________________ (3)___________________________________________________________________________ _____________________________________________________________________________ (4)___________________________________________________________________________ _____________________________________________________________________________ (5)___________________________________________________________________________ _____________________________________________________________________________Ⅱ. Passage TranslationDirections: In this part of the test, you will hear 2 English passages. You will hear the passages only once. After you have heard each passage, translate it into Chinese and write your version in the corresponding space in your ANSWER BOOKLET. You may take notes while you are listening.(1)___________________________________________________________________________ _____________________________________________________________________________ _____________________________________________________________________________ _____________________________________________________________________________ _____________________________________________________________________________ _________________________________________________________________________(2)___________________________________________________________________________ _____________________________________________________________________________ ____________________________________________________________________________。