2009年至13年树德中学自主招生考试试卷

数 学 试 卷

本试卷分第Ⅰ卷(选择题)和第Ⅱ卷(非选择题)两部分。全卷满分150分，考试时间120分钟。

第Ⅰ卷

一、选择题：本题共10小题，每小题5分，共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、一列火车花了H小时行程D公里从A城抵达B城，晚点两小时，那么应该以什么样的速度才能准点到达（ ） A．H2 B．

DDD2 C． D． HH2H22、若xyz30（ ） ,x、y、z均为非负整数，则M5x4y2z的取值范围是：

3xyz50A．100M110 B．110M120 C．120M130 D．130M140

3、某天，学校研究性学习小组的同学从8时起骑自行车外出调查，17时回到学校，小组离开学校的距离与时间的关系

可用图中的曲线表示，根据这个曲线图，下列说法错误的是( ) A．在离校最远的地方调查的时间是14~15时 B．第一次调查从9时开始，历时2h C．中午12～13时休息的地方离校15km

D．返校的速度最慢

2 4、已知函数y82xx和ykxk(k为常数）则不论k为何值，这两个函数的图像（ ）

A．只有一个交点 B．只有二个交点 C．只有三个交点 D．只有四个交点 5、如果x、y是非零实数，使得xy3，那么xy等于（ ） 3xyx0A．3 B．13 C．113 D．413 26、一列数：7,72,73,74,,72008．其中末位数字是3的有（ ） A．502个 B．500个 C．1004个 D．256个

7、在ABC中，BCa,ACb,ABc,C90,CD和BE是ABC的两条中线，且CDBE，

那么a:b:c（ ）

A．1:2:3 B．3:2:1 C．3:2:1 D．1:2:3 8、已知三角形的三个内角的度数都是质数，则这三个内角中必定有一个内角等于：（ ）

A．2度 B．3度 C．5度 D．7度 9、已知：mnmnmn1，则

2211的值等于（ ） mnA．1 B．0 C．1 D．2 10、积1111111111

1324359810099101值的整数部分是：（ ）

A．1 B．2 C．3 D．4

第Ⅱ卷

二、填空题：本大题共6个小题，每小题5分，共30分。把答案填在题中横线上。

11、如图所示，一个大长方形被两条线段AB、CD分成四个小长方形，其中长方形Ⅰ、Ⅱ、Ⅲ的面积分别是8、6、5，那么阴影部分的面积是： ；

12当x4时，函数yx1x2x3的最大值减去最小值的差是： ；

13、今年参加数学竞赛的人数比去年增加了30%，其中男生增加了20%，女生增加了50%，设今年参加竞赛的总人数为a，其中男生人数为b，则：

14、如果两点：M(x1,y1),N(x2,y2)，那么MN已知：A3,1,,B1,4C是 ；

15、实数a、b、c满足：a26b17,b28c23,c22a14，则abc= ； 16

、

已

知

恒

等

式

2b= ； a(x1x2)2(y1y2)2。

22PC最小，则点P的坐标1,6在ABC内求一点P，使PA2PB，

：

x2x1a0a1xa2x2a3x3a10x10a11x11a12x1262，则

a0a2a4a6a8a10a12a1a3a5a7a9a11

= 。

座位号 总分

„„„„„„„„„„„„„„密„„„„„„„„„„„„„„封„„„„„„„„„„„„„„线„„„„„„„„„„„„„„„„„ 2009年成都树德中学自主招生考试

数 学 试 卷

一、选择题：本题共10小题，每小题5分，共50分．

1 2 3 4 5 6 7 8 9 10 二、填空题：本大题共6个小题，每小题5分，共30分。把答案填在题中横线上。 11． ； 12． ；

13． ；

14． ； 15． ； 16． ； 三、解答题

17、（6分+6分+6分=18分）

（1）已知：点(x,y)在直线yx1上，且xy2，求xy的值。 (2) 计算： 2007200820082009200920092008227720072008200720092008200720092007 （3）已知a、b、c是直角三角形ABC的角A、B、C所对的边，C90。

求：

1111的值。

abcbcacabcab18、（本题满分9分）已知x、y、z为实数，且xyz5,xyyzzx3。试求z的最大值和最小值。

19、（本题满分9分）在成都火车站开始检票时，有a(a>0)名旅客在候车室排队等候检票进站。检票开始后，仍有旅客

继续前来排队检票进站，设旅客按固定的速度增加，检票口按固定的速度检票。若开放一个检票口，则需30分钟才能将排队等候的旅客全部检票完毕；若开放两个检票口，则需10分钟才能将排队等候的旅客全部检票完毕；如果现在要在5分钟内将排队等候检票的旅客全部检票完毕，以后进站的旅客能够随到随检，至少要同时开放几个检票口？

20、(本题满分11分)如图所示：ΔABC的三边满足关系BC=

1(AB+AC),O、I分别为ABC的外心2和内心、∠BAC的外角平分线交⊙O于E，AI的延长线交⊙O于D，DE交BC于H． 求证：(1)AI＝BD；

(2)OI=

1AE． 2H

21、（本题满分12分）如图，在直角坐标平面内，O为坐标原点，点A的坐标为（1，0），

点B在x轴上且在点A的右侧，ABOA，过点A和B作x轴的垂线，分别交二次

函数yx2的图像于点C和D。直线OC交BD于M，直线CD交y轴于点H，记点C、D的横坐标分别为

xC、xD，点H的纵坐标为yH。

（1）请你验证以下的两个命题成立： ①SCDM:SABMC2:3； ②数值相等关系：xCxDyH；

（2）请你研究：如果将上述命题的条件“点A的坐标为（1，0）”改为“点A的坐标为（t，0）（t0）”，其它条件不变，结论①是否成立？

（3）如果将上述命题的条件“点A的坐标为（1，0）”改为“点A的坐标为（t，0）（t0）”，又将条件“yx2”改为“yax2(a0)”，其它条件不变，那么xC、xD和yH有怎样的数值关系

22、（本题满分11分）如图所示，在ΔABC中，∠A=90，AD⊥BC于D．∠B的平分线分别与AD、AC交于E，F，

H为EF的中点．(1)求证：AH⊥EF；(2)设ΔAHF、ΔBDE、ΔBAF的周长为cl、c2、c3。 试证明：

0

AFc1c29的值． ，并指出等号成立时BFc38

2008年成都树德中学自主招生考试

数学试卷参考答案 一、选择题：本题共10小题，每小题5分，共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． 题号 答案 1 C 2 C 3 D 4 B 5 D 6 A 7 D 8 A 9 B 10 A 二、填空题：本大题共6个小题，每小题5分，共30分。把答案填在题中横线上。 11．

10； 12． 16 ； 3

13．

8 ； 1314． 1,1； 三、解答题 17、（1）解

15． 8； 16． 729 ；

x2y221xyx2y22xy22xyxy212315x3y3xy3xyxy13

22x4y4x2y22172x2y2422232

57171x7y7x3y3x4y4x3y3xy12228（2）解：设2007x,2008y,2009z, 则原式=

xxyxzyyxyzzzxzy

xyzyxzzxy =0

xyyzxz（3）解：原式=

(11112c2c)()222abccabbcacabcabc2ab

2c2cc2a2b22abc2a2b22ab018、解：由xyz5xz5xzxz3x2z5x(z25z3)0

xyyzzx32因为：x、y、z为实数，所以z54z5z303z10z130

221313，故z的最大值是，z的最小值是1。 3319、解：设检票开始后每分钟新增加旅客x人，检票的速度为每个检票口每分钟检y人，5分钟内将排队等候检票的旅

即3z13z101z客全部检票完毕需要同时开放n个检票口。

a30x30yaa,y 由题意，得a10x210yx3015a5xn5ya5aa7n5n 30152n取最小的整数，所以：n=4

20

OI1AE

221解：（1）由已知条件可得点B的坐标为（2，0），点C的坐标为（1，1），点D的坐标为(2,4)。 由点C的坐标为(1，1)易得直线OC对应的函数解析式为y＝x，所以点M的坐标为(2，2)． 因此SCMD1,S梯形ABMC两个：

方法一：设直线CD的函数解析式为y＝kx+b，

3，从而证得结论①成立，对结论②证明方法有如下2kb1k3 则得,

2kb4,b2 ∴直线CD对应的函数解析式为y＝3x-2；由上述可得，点H的坐标为(0，-2)，yH＝-2，

∵xC·xD＝2，∴xC·xD＝-yH，即结论②成立；

方法二：又根据题意，可证ΔOCH≌ΔMCD，得CH＝CM＝2．所以，YH＝-2，证得②成立．

(2)方法同(1)，由已知得B(2t，0)、C(t,t2)、D(2t，4t)，直线OC对应的一次函数的解析式为y＝tx，故M(2t，

2

2t)．

∴SCMD:S梯形ABMC (3)xCxD2

1t(2t2):(t22t2)2:3。所以，结论①仍然成立． 221yH.由题意得C(t,at2),D(2t,4at2)然后可求得直线CD对应的一次函数的解析式为ay3atx2at2,得H的坐标为(0,2at2),即yH2at2.

∵xCxD2t,xCxD0

21yH. a0

22解：（1）∠BAC=90，AD⊥BC，

∴∠AFB=90-∠ABF，∠AEF=∠BED=90-∠DEB 又BF平分∠ABC，

0

∴∠ABF=∠DBF，

∵∠AFB=∠AEF，∴AE=AF，H为EF的中点，∴AH⊥EF； （2）设BFx,AFk,则AFkx,BABF2AF2x1k2, BF∵∠AFH=∠BED，∴RtΔAHF∽RtΔBED∽RtΔBAF， ∴

HFDEAFAHBDBAk,1k2, AFBEBFAFBEBF2

2

而FE=BF-2HF=x-2k·AF=x-2kx=(1-2k)x，

2∴c1AFHFAHk(1k1k)x,

c2BEBDDE(11k2k)(12k2)x, c3AFBABF(k1k21)x,

∴

c1c21992k2k12(k)2, c34881AF1时,时取等号. 4BF4故当k

树德中学2010年外地生数学试题

一、选择题：（每小题5分，共25分）

1. 已知实数a,b,c满足abc0,abc0, 则

111的符号为( A ). abc A. 负 B. 正 C. 0 D. 与a,b,c的值有关

2. 已知一次函数yaxc与yax2bxc, 它们在同一坐标系内的大致图象是( C ).

3. 如果ABC的两边长分别为a,b, 那么ABC的面积不可能等于( B ) . A.

12111(ab2) B. (a2b2) C. (ab)2 D. ab 42844. 对任意有理数a, 方程2x2(a1)xba0的根都只有有理数, 则实数b的取值为( C ). A. 44 B. C. 1 D. 1 335. 已知实数a,b,c满足abc0,abc0, 则 ( A ).

A. b4ac B. b24ac,a0 C. b4ac,a0 D. b4ac,a0 6. 已知ay20,by19,cy21, 那么代数式abcabbcca的值是( B ). A. 4 B. 3 C. 2 D.1

7. 已知：点P到直线L的距离为3, 以点P为圆心, r为半径画圆, 如果圆上有且只有两点到直线L 的距离为2, 则半

径r的取值范围是( D ).

A. r1 B. r2 C. 2r1 D. 5r1 8. 如图, 在ABC中, ABAC,BAC80,P在ABC内,

222222PBC10,PCB20, 则PAB( C ).

A. 50 B. 45 C. 60 D. 75

9. 如图, O的半径为2, 点A的坐标为(2,23), 直线AB为O的切线, B为切点, 则B点的坐标为( D ). A. (4938,) B. (3,1) C. (,) D. (1,3)

552510. 用一个平面去截正方体, 所得的截面图形不可能是( D ).

A. 正方形 B. 矩形 C. 菱形 D. 直角梯形

11. 如图, 正ABC内接于圆O, P是劣弧BC上任意一点, PA与BC交于点E, 如下结论：①PAPBPC；②111； ③PAPEPBPC, 其中, 正确结论的个数为( B ). PAPBPC A. 3个 B. 2个 C. 1个 D. 0个

12. 已知：a与d为非负数, b与c为正数, 且bcad,

bc的最小值为( B ). cdab1 A. 21 B. 2 C. 1 D.

2则

2 二、填空题：（每小题5分，共25分）

13. 如图, 长方体的底面边长分别为1cm和3cm, 高为6cm. 如果用一根细线从点A开始经过4个侧面缠绕一圈到达点

B, 那么所用细线最短需要__________cm. 10 14. 若关于x的方程

ax110有增根, 则a的值为__________ . x11

15. 已知k为常数, 6x2xy2y2ky6能分解为两个一次因式的乘积, 则k __________ . 7

16. 已知ABC的三边分别为a,b,c, 它们所对的角分别为A,B,C. 若A2B,b4,c5,

则a __________ . 6

17. 已知方程x3x10的两根,也是方程x6px2q0的根, 其中p,q均为整数,

则q __________ . 7 18. (1) 计算：213tan2302(sin451)2； 216x22x26x45(2) 解方程：2 .

x3x23x1 2； x0,3

19. 如图, 已知直线y1kx与双曲线y(k0)交于A,B两点, 且点A的横坐标2x为4 .

(1) 求k的值；

(2) 过原点O的另一条直线l交双曲线yk(k0)于P,Q两点(P点在第一象限,P点横坐标小于4), 若由点xA,B,P,Q为顶点组成的四边形面积为24, 求点P的坐标.

20. 如图, 已知O1和O2相交于A,B两点, P是O1上一点, PB的延长线交O2于点C,PA交O2于点D,

CD的延长线交O1于点N.

(1) 过点A作AE//CN交O1于点E, 求证：PAPE； (2) 连结PN, 若PB4,BC2, 求PN的长 .

21. 某公司有A型产品40件, B型产品60件, 分配给下属甲、乙两个商店销售, 其中70件给甲店, 30件给乙店, 且都能卖完, 两商店销售这两种产品每件的利润(元)如下表：

甲店 乙店 A型利润 200 160 B型利润 170 150 (1) 设分配给甲店A型产品x件, 这家公司卖出这100件产品的总利润为W(元), 求W关于x的函数关系式, 并求

出x的取值范围；

(2) 若公司要求总利润不低于17560元, 说明有多少种不同分配方案, 并将各种方案设计出来； (3) 为了促销, 公司决定仅对甲店A型产品让利销售, 每件让利a元, 但让利后A型产品的每件

利润仍高于甲店B型产品的每件利润. 甲店的B型产品以及乙店的A,B型产品的每件利润 不变, 问该公司又如何设计分配方案, 使总利润达到最大?

22. 如图, 四边形ABCD内接于圆, 其边AB与DC的延长线交于点P, AD与BC的延长线交于点Q, 由Q作该圆的两条切线QE和QF, 切点分别为E,F. 求证： P,E,F三点共线.

23. 如图, 已知抛物线与x轴交于点A(2,0),B(4,0), 与y轴交于点C(0,8).

(1) 求抛物线的解析式及其顶点D的坐标；

(2) 设直线CD交x轴于点E, 在线段OB的垂直平分线上是否存在点P, 使得点P到

直线CD 的距离等于点P到原点O的距离? 如果存在, 求出点P的坐标； 如果不存在, 请说明理由；

(3) 过点B作x轴的垂线, 交直线CD于点F, 将抛物线沿其对称轴平移, 使抛物线与线段EF总有公共点. 试探究：抛物线向上最多可平移多少个单位长度 ? 向下最多可平移多少个单位长度 ?

2012年树德中学招生考试数学试卷

本试卷分第I卷（选择题）和第II卷（非选择题）两部分。全卷满分150分，考试时间120分钟。

第I卷（选择题）

一、选择题：本大题共12小题，每小题5分，共60分。在每小题的四个选项中有且只有一个是正确的。 1.多项式：2x+x-13x+6的一个因式是（ ）

A.2x-1 B.x+2 C.x-3 D.2x+1

2.计算：1+2-3-4+5+6-7-8+9+10-11-12+…….+2009+2010-2011-2012，最后结果是（ ） A.0 B.-13 C.2011 D.-2012 3.简化13211，所得结果正确的是（ ） 22n(n1)A.

1111111111=1++ B. =1-+ n2(n1)2n2(n1)2nn1nn1111111111=1+- D. =1-- 2222n(n1)n(n1)nn1nn122C.

15abab,则=（ ） 2ab11A. B.- C.3 D.-3 334.设b＜a＜0，a+b=

5.如图，AD是圆内接△ABC的边BC上的高，AE是圆的直径，

AB=2，AC=1，则AE·AD=( ) A.2 B.3 C.2 D.

222 36.关于x的方程：k(k+1)(k-2) x-2(k+1)(k+2)x+k+2=0只有一个实数解（两个相同的也只算一个），则实数k可取不同值的个数为（ ）

A.2 B.3 C.4 D.5

7.设a、b都是正整数，且123456789=（11111+a）(11111-b)，则（ ） A.（a-b）一定是奇数 B.（a-b）一定是4的倍数

C. （a-b）是2的倍数，但不一定是4的倍数 D. （a-b）是2的倍数，但不是4的倍数 8.已知实数a、b、c、p满足：abc≠0且

abbcca===p,那么直线y=px+p一定通过（ ） cabA.第一、二象限 B.第二、三象限 C.第三、四象限 D.第一、四象限

9.如图,在等腰直角△ABC中，CA=CB=3，D是BC上一点， 且

CD1=，点M是斜边AB上一动点，则△CMD的周长 AD2的最小值是（ ）

A.1+10 B.1+11 C.1+23 D.1+13

10.如果对于某一特定范围内的x的任意允许值，P=10-2x+103x+10-4x+105x+…..+1010x为定值，则此定值是（ ）

A.20 B.30 C.40 D.50

11.二次函数y=a x+bx+c的图象如图所示，现有以下结论：

①abc＞0；②b＜a+c；③4a+2b+c＞0；④2c＜3b；⑤a+bm（am+b）。 其中正确的结论有（ ）

A.4个 B.3个 C.2个 D.1个

12.已知方程：x-3x+(m+2)x-m=0的三个互不相等的实数根为一个三角形三边的长，则实数m的取值范围是（ ） A.0＜m＜1 B.m＞

322334 C. ＜m＜1 D. 1＜m＜ 443一、

第II卷（非选择题）

填空题：本大题共4小题，每小题4分，共16分。

13.从小到大排列各个分数：

61012152060、、、、、是 。 111719233391-114.记x为不超过实数x的最大整数，例如，2=2，1.5=1，-0.3=-1。则= 。

16-715.已知△ABC三内角A、B、C满足：ABC，且A=2C，则角B的取值范围是 。

16.已知x1、x2、x3、x4、x5、x6、x7、x8、x9、x10都是正整数，且x1+x2+x3+x4+x5+x6+x7+x8+x9+x10=24，

2222222若x1+x2+x3+x4+x5+x6+x7+x8+x9+x10的 最大值与最小值的和是 。

222三、解答题：本大题共7小题，共74分。解答应写出文字说明，证明过程或演算步骤。 17.（本题满分9分）设a、b、c都是实数，考虑下列命题：

（1）若a+ab+c＞0且c＞1，则0＜b＜2；（2）若c＞1且0＜b＜2，则a+ab+c＞0； （3）若0＜b＜2且a+ab+c＞0，则c＞1。

试判断哪些命题正确，哪些命题不正确。对你认为正确的命题给出证明；认为不正确的命题，举反例予以否定。

18.（本题满分9分）计算下列各题 （1）1-2222π01-20+2sin60-1； ++

3-133（2）

11111++++ 13355779911

（3）

1111+++…+

211232234334100999910019.（本小题满分8分）n为大于2的正整数，大家知道：1+2+3+…+n=∵（n+1）-n=3n+3n+1 ∴n=1时，2-1=3×1+3×1+1 n=2时，3-2=3×2+3×2+1 n=3时，4-3=3×3+3×3+1 … …

n=n时,( n+1) -n=3n+3n+1

332332332332332n(n1)，请看下面的计算： 2把以上的n个等式相加得：( n+1) -1=3（1+2+3+…+n）+3(1+2+3+…+n)+n 所以，3（1+2+3+…+n）=( n+1) -（n+1）-31+2+3+…+n=

22222222332222n(n1),即 21n(n+1)(2n+1) 63333类比上述方法，求1+2+3…+n。

20.（本题满分12分）如图，在边长为2的正△ABC内有一点P，它到三边BC、AB、AC的距离分别是PD、PE、PF。 求：（1）PD+PE+PF的值； （2）PD+PE+PF的最小值；（3）△DEF面积的最大值。

222

21.（本小题满分12分）如图，已知A，B两点的坐标分别为A（0,23），B（2,0）直线AB与反比例函数y=图象交与点C和点D（-1，a）

（1）求直线AB和反比例函数的解析式； （2）求ACO的度数；

（3）将△OBC绕点O逆时针方向旋转α角（α为钝角），得到 △OBC，当α为多少度时O C⊥AB，并求此时线段AB的长。

22.（本小题满分12分）如图，⊙A与⊙B相外离，⊙A的半径为2，⊙B的半径为1，AB=4，P为连接两圆圆心的线段AB上的一点，PC切⊙A于点C，PD切⊙B于点D （1）若PC=PD，求PB的长； （2）试问线段AB上是否存在一点P。使PC+PD=4？若果存在，问这样的P点有几个？并求出PB的值；如果不存在，说明理由；

（3）当P点在线段AB上运动到某处，使PC⊥PD时，△APC∽△PBD。试问除上述情况外，当P点在线段AB上运动到何处（说明PB的长是多少）时，△APC与△PBD相似，并判断此时直线PC与⊙B的位置关系，证明你的结论。

23.（本小题满分12分）通过研究学生的学习行为，心理学家发现，学生的接受能力依赖于老师引入概念和描述问题所用的时间。讲座开始时，学生兴趣激增；中间有一段不太长的时间，学生的兴趣保持较理想的状态，随后学生的注意力开始分散。分析结果和实验表明，用y表示学生掌握和接受概念的能力，x表示提出概念和讲授概念的时间（单位：分），可有以下的关系式：

22‘‘‘‘m的x-0.1x22.6x43,(0＜x10)（,10＜x16）y=59 -3x107，（16＜x30）(1) 开讲后多少分钟，学生的接受能力最强？能维持多少时间？

(2) 一个数学难题，需要55（或以上）的接受能力，上课开始30分钟内，求能达到该接受能力要求的时间共有多少

分钟？

(3) 如果每隔5分钟测量一次学生的接受能力，填写下表： x y 5 10 15 20 25 30 再计算六个y值得平均值M，它能高于45吗？

成都树德中学2012年外地生入学考试数学

2013年成都树德中学自主招生考试模拟试题

英语(一)

时间90分钟 满分100分. 单项填空(每小题1分,共20分)

从A.B.C,D四个选项中,选出可以填入空白处的最佳选项,并将该项填在答题卡上. 1. ---- It’s been a wonderful evening. Thank you very much.

----__________. a. My pleasure b. I’m glad to hear that. c. No, thanks d. It’s OK.

2. Alice had thought I was talking about her father, _________i was talking about my uncle. A. when b. as c. while d.and. 3. ---- I’ll tell Mary about her new job tomorrow. ---- You _____ her last week. a. should have told b. would have told. c. must tell d. ought to tell. 4. It was ______surprise that we didn’t even know what to say. a. so great b. such a great. c. so a great d. such great. 5. ----Look at the lights in the lab! Who is there/ ----Oh, I forgot ____.

a. to turn them down. B. to turn them off c. turning them down. d. turning them off. 6. ----How long have you been in China? ----For ______.

a. three and a half months b.three and half a month c.three and half months d.three and half month.

7. If you _____at the corner when the truck passes, you will be knocked down. a. are standing b. will be standing c. stood d. have stood.

8.The Americans and British not only speak the same language but also _____a large number of special customs(习俗). a. join b. share c. make d.take. 9. ---- I knocked over my coffee cup. It went right over ______keyboard(键盘) ----You shouldn’t put drinks near ______computer. a. the, 不填 b. the; a c. a; 不填 d.a;a 10. Before she could move, she heard a loud noise, _______grew to a terrible roar. a. that b. one c.which d. it.

11.I was giving a talk to a large group of people, the same talk I _____to half a dozen other groups. a. was giving b. am giving c.had given d.have given 12. ----Did you have a good time at the ball? ----I’m afraid not. And ______. a. my friends weren’t, either. B. my friends don’t, either c. neither do my friends d. nor did my friends. 13. Oh, it’s so cold here. Somebody _____ the window, please.

a. closes b. close c. shall close d. will close 14. we will never lose heart. If we fail again, we’ll try _______. a. the second time b. second time c. a second time d.second. 15. Hello! I _____you ____ here in Chengdu. How long have you been here? a. don’t know; were b.haven’t known; are c.didn’t know; were d. won’t know;are 16. ----How did you like your visit to the exhibition? ----It was ______interesting than expected. a. even much b. a lot much c. very much d. far more.

17.In Luoyang on the night of Dec.26, the number of people who were killed in the terrible fire _____400, so we can say that a large number of people______killed in the fire. a. was ;was b. were; was c.was; were d. were; were 18. In the past twenty years, great changes _______in China. a. took place b. have been taken place c.have taken place d. were taken place. 19. I was about _____ search some information online when the computer _______. a. search; broke out b. searching; broke up c.searched; broke in d.to search;broken down. 20 ----Would you like to come to my house for dinner tonight? ----_____, but I’m busy. a. No problem. B. I’d love to c.yes, I would d.Thank you all the same.

完形填空(每小题1.5分,共30分)

阅读下面短文,掌握其大意,然后从21 -40 各题所给的A.B.C.D四个选项中,选出可以填入空白处的最佳选项,并将该选项填在答题卡上.

Eleven-year-old Angela had something wrong with her nervous system. She was unable to 21 . In fact, she could hardly make any 22 . Although she believed that she had a 23 chance of recovering, the doctors said that 24 , if any, could come back to normal after getting this disease. Having heard this, the little girl was not 25 . There, lying in her hospital bed, she 26 that no matter what the doctors said, her going back to school was 27 .

She was moved to a specialized health center, and whatever method could be tried was used. Still she would not 28 . It seemed that she was 29 . The doctors were all fond of her and taught her about 30 that she could make it. Every day Angela would lie there, 31 doing her mental exercise.

One day, 32 she was imagining her legs moving again, it seemed as though a miracle happened: The bed began to 33 ! \"Look what I'm doing! Look! I can do it! I moved! I moved!\" she 34 .

Of course, at this very moment everyone else in the hospital was 35 . More importantly, they were running 36 safety.

People were crying, and equipment was 37 . You see, it was an earthquake. But don't 38 that to Angela. She has 39 that she did it, just as she had never doubted that she would recover. And now only a few years later, she's back in school. You see, to such a person who can 40 the earth, such a disease is a small problem, isn't it? 21. A. see B. hear C. talk D. walk

22. A. progress B. difference C. movement D. achievement 23. A. poor B. good C. little D. special

24. A. few B. all C. some D. most

25. A. satisfied B. delighted C. surprised D. discouraged 26. A. insisted B. sighed C. feared D. promised 27. A. true B. doubtful C. certain D. impossible 28. A. get up B. give up C. turn up D. stand up 29. A. disappointed B. proud C. troubled D. undefeatable 30. A. thinking B. expecting C. pretending D. imagining 31. A. sadly B. madly C. carefully D. faithfully 32. A. as B. since C. after D. before 33. A. fly B. move C. roll D. speak 34. A. jumped B. wondered C. screamed D. recovered 35. A. frightened B. pleased C. touched D. encouraged 36. A. in B. by C. for D. with 37 A. rising B. falling C. missing D. gathering 38. A. tell B. do C. give D. show

39. A. noticed B. supposed C. believed D. discovered 40. A. push B. shock C. shake D. save 阅读理解(每小题2分,共40分)

阅读下列短文,从A.B.C.D.四个答案中,选出最佳答案.

A

One Saturday morning Ann was going on business. Before starting, she took her son Sam to her friends, Bill and Kate, and asked them to look after him for the day. Sam, an independent boy of six years old, had black hair and was wearing a pair of jeans and a bright yellow shirt.

At eleven o'clock Bill took Sam into town. Sam walked along behind Bill, looking at the windows of all the shops they passed. After lunch they went to the park and walked about. The whole place was very crowded. Bill stopped to buy some chocolate. When he turned round to give some to Sam, the boy wasn't there. Bill ran round calling Sam, but he couldn't find him. About an hour later, just in front of a shop, he saw the black hair, the pair of jeans and the bright yellow shirt. The boy looked as if he was waiting for someone to come out of the shop. Bill ran across the road, took the boy by the hand and hurried off, as it was quite late. The boy began to cry and pull hard, but Bill, who didn't know much about children, couldn't understand a word the boy was saying. All the boy made was a lot of noise.

When they got home at last, Bill went straight to the kitchen, with the boy still crying. At the door Bill stopped with an amazed look. There, sitting at the kitchen table with Kate, was a small boy with black hair, in a pair of jeans and a bright yellow shirt.

41. Why did Ann take Sam to Bill and Kate？ A. Because Sam wanted to play with them. B. Because Bill and Kate wanted to see Sam. C. Because Sam's father wasn't at home. D. Because Ann was too busy to look after Sam.

42. Where did Bill and Sam play?

A. In a park. B. In a zoo. C. Near a river.

43. Why did Bill take the boy by mistake? A. Because the boy was waiting for Bill. B. Because the boy was lost and crying. C. Because the boy's clothes were like Sam's. D. Because the boy asked Bill to take him home.

44 What does the underlined word \"amazed\" mean？ A. Surprised.

B. Excited.

C. Sad.

B

D. In a museum.

D. Frightened.

EVENTS

Bicycle tour and race

A bike tour and race will be held on August 26 and 27 (Sat, & Sun.). At 5:30 a.m., the riders will leave Tian' anmen square and ride the first 35 kilometers as a training leg. Then the next 55 kilometer leg, from Yanjiao to Jixian, will be the first competitive part of the tour. The riders and their bikes will then be taken from Jixian to Changli.

The second racing leg of the tour will be from Changli to the seaside of Nandaihe, covering a distance of 20 kilometers. Saturday night includes the stay at Nandaihe and supper. Sunday morning is free for play at the seaside. At noon all the people and their bikes will be taken back to Beijing. Cost: 200 Yuan Telephone: 4675027

Brazilian footballers

The Brazilian Football Club will play Beijing Guo'an Team at the Workers Stadium on August 26. The club has four national team players. Also coming is 1994 US Would Cup star Romario who has promised to play for at least 45 minutes. Ticket prices: 60, 100, 150 Yuan

Time/Date: 4:30 pm. August 26 (Sat.) Telephone: 5012372

Rock-climbing

The Third National Rock Climbing Competition will be held on August 26-27 at the Huairou Mountain-climbing Training Base. More than 10 teams from Beijing. Wuhan, Dalian, Jilin and other places will take part in it. A Japanese team will give an exhibition climbing. Free for spectators (观众). Take a long-distance bus from Dongzhimen to Huairou. Time/ Date: 9-12 am, August26 and 27

Telephone: 7143177, 7144850, Wang Zhenghua

45.The main purpose of the passages in the newspaper is to give information about __________ .

A. visiting teams B. famous players C. things to do for the weekend D. prices to pay for the sports events.

46. If you take part in the bike tour, you will probably ride for _________. A. 35 kilometers B. 55 kilometers C. 75 kilometers D. 110 kilometers

47.The underlined word “leg” in “Bicycle Tour and Race ” probably means ________. A. race B. practice C. part of the training D. part of the tour.

48.What is special about the rock climbing competition? A. A foreign team takes part in it. C. You don’t have to be a sportsman to take part in. 答案

B. You can watch it without paying.

D. The bus trip to the place of the competition is free.

C

I was 9 years old when I found out my father was ill. It was 1994.but I can remember my mother's words as if it were yesterday. \"Kerrel, I don't want you to take food from your father, because he has AIDS. Be very careful when you are around him.\"

AIDS wasn't something we talked about in my country when I was growing up. From then on, I knew that this would be a family secret. My parents were not together any more and my dad lived alone. For a while, he could take care of himself. But when I was 12, his condition worsened. My father's other children lived far away, so it fell to me to look after him.

We couldn't afford all the necessary medicine for him because Dad was unable to work. I had no money for school supplies and often couldn't even buy food for dinner. I would sit in class feeling completely lost, the teacher's words muffled as I tried to figure out how I was going to manage.

I did not share my burden with anyone. I had seen people react to AIDS. Kids laughed at classmates who had parents with the disease. And even adults could be cruel. When my father was moved to the hospital, the nurses would leave his food on the bedside even though he was too weak to feed himself.

I had known that he was going to die, but after so many years of keeping his condition a secret, I was completely unprepared when he reached his final days. Sad and hopeless, I called a woman at the nonprofit National AIDS Support. That day, she kept me on the phone for hours. I was so lucky to find someone who cared. She saved my life .

I was 15 when my father died. He took his secret away with him, having never spoken about AIDS to anyone. Even me, he didn't want to call attention to AIDS.

49. What does Kerrel tell us about her father?

A. He had stayed in the hospital since he fell ill B. He depended on the nurses in his final days. C. He worked hard to pay for his medication. D. He told no one about his disease. 50. What can we learn from the underlined sentence? A. Kerrel couldn't understand her teacher. B. Kerrel had special difficulty in hearing.

C. Kerrel was too troubled to focus on the lesson. D. Kerrel was too tired to hear her teacher's words. 51. Why did Kerrel keep her father's disease a secret?

A. She was afraid of being looked down upon. B. She thought it was shameful to have AIDS. C. She found no one willing to listen to her. D. She wanted to obey her mother. 52. Why did Kerrel write the passage?

A. To tell people about the sufferings of her father. B. To show how little people knew about AIDS. C. To draw people's attention to AIDS. D. To remember her father.

D

It’s a safe bet that a robot made your car and made your computer. Pretty soon, they could be making your bed and breakfast too.

Increasingly, engineers are saying that robots are going to move out of research departments and into your home. Companies including Sony and General Electric are working on designs for small robots. Products like the Roomba, a robot that can clean floors, are flying off the shelves.

What’s behind this new robot revolution? It’s partly a matter of technology. Devices that can recognize and respond to a human voice have been developed. There are now a few different ways for robots to move around. They can walk, crawl or ride on wheels. Robots are being made smaller and smaller. They are also becoming more and more energy efficient.

A bigger part of the story is on the demand side. From the day the television remote control was invented, people around the world have searched for new ways to be lazy. Take into consideration that more and more people can afford robots, and the time seems ripe to introduce robots to the average family.

To be sure, robots that walk on two legs and talk like people are still a long way off. However, robots that do basic housework such as cleaning or gardening are sure to come out soon. One thing is certain---when these robots do come to our homes, it will change things forever.

53. According to the passage, robots can do the following things EXCEPT________. A. cleaning floors B. making cars C. talking like people D. making computers 54.Which of the following is TRUE according to the passage? A. Smaller robots are less energy efficient. B. Roomba has been out of date

C. People will become lazier than before. D. People’s demand contributes to new robots

55. The underlined part in the 2nd paragraph probably means________. A. new robots will soon come into people’s homes. B. new robots can fly by themselves . C. robot products are cheaper and cheaper

D. new robots have more functions than old ones 56. What is the main idea of this passage?

A. Robots will soon be on sale B. Robots are in great demand C. Robots are coming into our families. D. Robots help us a lot

E

“Life is speeding up. Everyone is becoming unwell.” This may sound like something someone would say today. But in fact, an unwell person who lived in Rome in AD 53 wrote it.

We all love new inventions. They are exciting, amazing and can even change our lives.

But have all these developments really improved the quality of our lives?

Picture this: You’re rushing to finish your homework on the computer. Your mobile phone rings, a QQ message from your friend appears on the screen, the noise from the telephone is getting louder and louder. Suddenly the computer goes blank and you lose all your work. Now you have to stay up all night to get it done.

Inventions have speeded up our lives so much that they often leave us feeling stressed and tired. Why do you think people who live far away from noisy cities, who have no telephones, no cars, not even any electricity often seem to be happier? Perhaps that is because they live simpler lives.

One family in the UK went “back in time” to see what life was like without all the inventions we have today. The grandparents, with their daughter, and grandsons, Benjamin, 10, and Thomas, 7, spent nine weeks in a 1940s house. They had no washing machine, microwave, computer or mobile phone.

The grandmother, Lyn, said, “The more things you have, the more difficult life becomes.” The boys said they fought less. Probably, they said, because there was less to fight over, such as their computer. Benjamin also noticed that his grandmother had changed from being a trendy, been-drinking granny, to one who cooked things.

57. The passage is mainly about ____________.

A. problems with technology

B. improvements in our lives caused by technology C. changes happening to technology D. the importance of technology

58. The writer uses the quote(引语) at the beginning of the story to____________. A. tell us the truth about life

B. tell us what life was like a long time ago C. point out what causes such a thing to happen

D. point out that you experience some big problems and they may be the same

59.The family chose to spend some time in a 1940s house because______________. A. they loved to live simple lives

B. they wanted to know how people lived without modern inventions C. they were troubled by modern inventions

D. living in a different time would be a lot of fun for them

60. What does the word “available” in the suggestion offered by the writer mean? A. Busy online B. Free C. Be able to D. Be found by others. 短文改错(每小题1分,共10分)

以下标有题号的每一行均有一个错误， 请找出， 并按下列情况改正：

此行多一个词： 把多余的词用斜线(/)划掉， 在该行右边横线上写出该词，并也用斜线划掉。 此行缺一个词： 在缺词处加一个漏字符号(∧), 在该行右边横线上写出该加的词。 此行错一个词： 在错的词下画一横线， 在该行右边横线上写出改正后的词。 Dear Ms. Donforth,

I'm writing to ask you come to our class for a visit. I've 76. ________ heard that you have been to Greece. In our Greece unit, we 77. ________ have been learning about it's rich culture and long history. 78. ________ Since you have visited Greece several times, so I would like to 79. ________ Know whether you have seen the old buildings here. We have 80. ________ learned a lot from the textbook, but I believe you personal 81. ________ experience will be a lot better. Your knowledges of Greece can 82. ________ help the whole class. Could you share your experiences for 83. ________ us? It will be surely exciting and rewarding. I hoped that you 84. ________ think about my request and visit us as soon as possibly. 85. ________ Sincerely. Jeremy Taylor