东北三省三校2014年高三第二次联合模拟考试数学(理)英语试卷及答案

东北三省三校 2014 年高三第二次联合模拟考试
(哈师大附中、东北师大附中、辽宁实验中学)

数学理试题
本试卷分第Ⅰ卷(选择题)和第Ⅱ卷(非选择题)两部分,共 150 分,考试时间 120 分钟。

第Ⅰ卷(选择题 共 60 分) 一、选择题(本大题共 12 小题,每小题 5 分,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. 若 U ? {1,2,3,4,5,6,7,8},A ? {1,2,3},B ? {5,6,7} ,则 (CU A) ? (CU B) = A. {4,8} B. {2,4,,6,8} C. {1,3,5,7} D. {1,2,3,5,6,7}

2. 已知复数 z ? ? A. ?

1 3 ? i ,则 z ? | z |? 2 2
B. ?

1 3 ? i 2 2
B. 2

1 3 ? i 2 2
C. 3

C.

1 3 ? i 2 2
D. 4

D.

1 3 ? i 2 2

3. 设随机变量 ξ 服从正态分布 N (2,9) ,若 P(? ? c) = P(? ? c ? 2) ,则 c 的值是 A. 1

4. 已知 p : x ? k,q : A. [2,??)

3 ? 1 ,如果 p 是 q 的充分不必要条件,则实数 k 的取值范围是 x ?1
C. [1,??) D. (??,?1]

B. (2,??)

5. 已知△ABC 的内角 A,B,C 的对边分别为 a,b,c,且

c?b sin A ? ,则 B= c ? a sin C ? sin B

A.

? 6

B.

? 4
2

C.

? 3

D.

3? 4

6. 已知函数 f ( x) ? ln(x ? 1) 的值域为 {0,1,2} ,则满足这样条件的函数的个数为 A. 8 B. 9 C. 26 D. 27

, AB· AC ? ?16 ,D 为边 BC 的中点,则 AD 等于 7. 已知△ABC 中, BC ? 10
A. 6 B. 5 C. 4 D. 3

8. 函数 h( x) ? 2 sin( 2 x ? 经过 的变换得到

?
4

) 的图象与函数 f ( x) 的图象关于点 (0,1) 对称,则函数 f ( x) 可由 h( x)

A. 向上平移 2 个单位,向右平移

? 个单位 4 ? 的单位 4

B. 向上平移 2 个单位,向左平移

C. 向下平移 2 个单位,向右平移

? 个单位 4 ? 的单位 4

D. 向下平移 2 个单位,向左平移

9. 一个射箭运动员在练习时只记射中 9 环和 10 环的成绩,未击中 9 环或 10 环就以 0 环记。该运 动员在练习时击中 10 环的概率为 a,击中 9 环的概率为 b,既未击中 9 环也未击中 10 环的概率为 c (a,b,c∈ [0,1) ) ,如果已知该运动员一次射箭击中环数的期望为 9 环,则当 c 的值为 A.

10 1 ? 取最小值时, a 9b

1 11

B.

2 11

C.

5 11

D. 0

10. 已知某算法的流程图如图所示,输入的数 x 和 y 为自然数,若已知输出的有序数对为 (13,14) , 则开始输入的有序数对 ( x, y ) 可能为

A. (6,7) 11. 已知双曲线

B. (7,6)

C. ?4,5?

D. (5,4)

x2 y2 ? ? 1 (a ? 0,b ? 0) 的焦点 F1 (?c,0) 、 F2 (c,0)(c ? 0) ,过 F2 的直线 l 交 a2 b2

双曲线于 A,D 两点,交渐近线于 B,C 两点。设 F1 B ? F1C ? m , F1 A ? F1 D ? n ,则下列各式成

立的是 A. | m |?| n | 12. 已知方程 B. | m |?| n | C. | m ? n |? 0 D. | m ? n |? 0

| cos x | ? k 在 (0,??) 上有两个不同的解 α、β (? ? ? ) ,则下列的四个命题正确的是 x
B. cos2α=2αsin2α D. cos2β=-2βsina2β 第Ⅱ卷(非选择题 共 90 分)

A. sin2α=2αcos2α C. sin2β=-2βsin2β

本卷包括必考题和选考题两部分。第 13 题~第 21 题为必考题,每个试题考生都必须作答,第 22 题-第 24 题为选考题,考生根据要求作答。 二、填空题(本大题共 4 小题,每小题 5 分)
3 3 2 3 3 3 2 3 3 3 3 2 13. 观察下列等式: 1 ? 1 ,1 ? 2 ? 3 , 1 ? 2 ? 3 ? 6 , 1 ? 2 ? 3 ? 4 ? 10 ,?,根据上述

3

2

规律,第 n 个等式为 14. 某几何体的三视图如图所示,则该几何体外接球的体积为

15. 在区间 [0,2] 和 [0,1] 分别取一个数,记为 x、y,则 y ? ? x 2 ? 2x 的概率为



16. P 为正方体 ABCD-A1B1C1D1 对角线 BD1 上的一点,且 BP= ? BD1( ? ? (0,1) ) 。下面结论: ①A1D⊥C1P; ②若 BD1⊥平面 PAC,则 ? ?

1 ; 3

③若△PAC 为钝角三角形,则 ? ? (0, ) ; ④若 ? ? ( ,1) ,则△PAC 为锐角三角形。 其中正确的结论为 。 (写出所有正确结论的序号)

1 2

2 3

三、解答题(解答应写出文字说明,证明过程或演算步骤。 ) 17. (本小题满分 12 分) 设数列{an}的前 n 项和为 Sn,对任意的正整数 n,都有 an=5Sn+1 成立。 (Ⅰ)求数列{an}的通项公式; (Ⅱ)设 bn ? log4 | an | ,求数列 { 18. (本小题满分 12 分) 某个团购网站为了更好地满足消费者需求,对在其网站发布的团购产品展开了用户调查,每个 用户在使用了团购产品后可以对该产品进行打分,最高分是 10 分。上个月该网站共卖出了 100 份团 购产品,所有用户打分的平均分作为该产品的参考分值,将这些产品按照得分分成以下几组:第一 组[0,2) ,第二组[2,4) ,第三组[4,6) ,第四组[6,8) ,第五组[8,10],得到的频率分布直方图如 图所示。

1 } 前 n 项和 Tn。 bn · bn? 2

(Ⅰ)分别求第三,四,五组的频率; (Ⅱ)该网站在得分较高的第三,四,五组中用分层抽样的方法抽取 6 个产品。 ①已知甲产品和乙产品均在第三组,求甲、乙同时被选中的概率; ②某人决定在这 6 个产品中随机抽取 2 个购买,设第 4 组中有 X 个产品被购买,求 X 的分布列 和数学期望。 19. (本小题满分 12 分) 已知四棱柱 ABCD-A1B1C1D1 的底面 ABCD 是边长为 2 的菱形,AC∩BD=O,AA1=2 3 ,BD ⊥A1A,∠BAD=∠A1AC=60°,点 M 是棱 AA1 的中点。

(Ⅰ)求证:A1C∥平面 BMD; (Ⅱ)求证:A1O⊥平面 ABCD; (Ⅲ)求直线 BM 与平面 BC1D 所成角的正弦值。 20. (本小题满分 1 2 分) 已知圆 M : x 2 ? ( y ? 2) 2 ? 1,直线 l : y ? ?1,动圆 P 与圆 M 相外切,且与直线 l 相切。设动 圆圆心 P 的轨迹为 E。 (Ⅰ)求 E 的方程; (Ⅱ)定点 A(4,2) ,B,C 为 E 上的两个动点,若直线 AB 与直线 AC 垂直,求证:直线 BC 恒过定点。 21. (本小题满分 12 分) 已知函数 f ( x ) ?

ax ? b ( a ? 0) x2 ?1

(Ⅰ)求证: f ( x) 必有两个极值点,一个是极大值点,—个是极小值点;

,f (? ) ? 1,求 a、b 的值; (Ⅱ)设 f ( x) 的极小值点为 α,极大值点为 β, f (? ) ? ?1
(Ⅲ)在(Ⅱ)的条件下,设 g ( x) ? f (e ) ,若对于任意实数 x, g ( x ) ?
x

2 恒成立,求 2 ? mx 2

实数 m 的取值范围。 请考生在第 22,23,24 题中任选一题作答,如果多做,则按所做的第一题计分,作答时请写清 题号。 22. (本小题满分 10 分)选修 4-1:几何证明选讲 已知 PQ 与圆 O 相切于点 A,直线 PBC 交圆于 B,C 两点,D 是圆上一点,且 AB∥CD,DC 的 延长线交 PQ 于点 Q。

(Ⅰ)求证:AC2=CQ·AB; (Ⅱ)若 AQ=2AP,AB= 3 ,BP=2,求 QD。 23. (本小题满分 10 分)选修 4-4:坐标系与参数方程 在直角坐标系 xOy 中,以原点 O 为极点,x 轴的正半轴为极轴建立极坐标系。已知曲线 C1 的极 坐标方程为 ? ?
2

2 ,直线 l 的极坐标方程为 ? ? 1 ? sin 2 ?

4 2 sin ? ? cos?



(Ⅰ)写出曲线 C1 与直线 l 的直角坐标方程; (Ⅱ)设 Q 为曲线 C1 上一动点,求 Q 点到直线 l 距离的最小值。 24. (本小题满分 10 分)选修 4-5:不等式选讲 已知 a, b, c ? R,a 2 ? b 2 ? c 2 ? 1。 (Ⅰ)求证: | a ? b ? c |? 3 ; (Ⅱ)若不等式 | x ? 1 | ? | x ? 1 |? (a ? b ? c) 2 对一切实数 a,b,c 恒成立,求实数 x 的取值范 围。

参考答案 二模理科数学参考答案

题号 答案
3

1 A

2 D
3

3 C

4 B
3

5 C

6 B

7 D

8 A

9 A

10 B 14.

11 C

12 C 15.

13. 1 ? 2 ? ??? ? n ?

n2 (n ? 1)2 4

125 2 ? 3
1 4

2 3

16.①②④

17. (Ⅰ)解:当 n ? 1 时, a1 ? 5S1 ? 1,? a1 ? ? 又? an ? 5Sn ? 1, an?1 ? 5Sn?1 ? 1

???2 分 ???4 分

?an?1 ? an ? 5an?1 ,



an ?1 1 ?? an 4
1 4

∴数列 ?an ? 是首项为 a1 ? ?

1 1 ,公比为 q ? ? 的等比数列, 4 4

n ∴ an ? (? )

???6 分

(Ⅱ) bn ? log4 (? )

1 4

n

? ?n ,

???8 分

所以

1 1 1?1 1 ? ? ? ? ? ? bnbn? 2 n(n ? 2) 2 ? n n ? 2 ?

???10 分

Tn ?

1? 1 1 1 1 1 ? 1? 1 1 1 ? ???12 分 (1 ? ) ? ( ? ) ? ? ? ( ? ) ? ? ?1 ? ? ? ? 2? 3 2 4 n n ? 2 ? 2 ? 2 n ?1 n ? 2 ? ?

18 .(Ⅰ)解:第三组的频率是 0.150× 2=0.3 ;第四组的频率是 0.100× 2=0.2 ;第五组的频率是 0.050× 2=0.1 ???3 分

(Ⅱ) ①由题意可知,在分层抽样的过程中第三组应抽到 6× 0.5=3 个,而第三组共有 100× 0.3=30 个,
1 C28 1 所以甲乙两产品同时被选中的概率为 P ? 3 ? C30 145

???7 分

②第四组共有 X 个产品被购买,所以 X 的取值为 0,1,2

P( X ? 0) ?

1 1 1 1 2 C3 ? C32 6 C3 C2 ? C2 C2 8 1 ; ; ? P ( X ? 1) ? ? P ( X ? 2) ? ? ; 2 2 2 C6 15 C6 15 C6 15

X
所以 X 的分布列为

P

0 1 2 2 8 1 5 15 15

???10 分

EX ?

8 1 2 ? ?2 ? 15 15 3

???12 分

19. (Ⅰ)证明: 连结 MO

A1M ? MA? ? ? ? MO // A1C ? AO ? OC ? ? ? MO ? 平面BMD ? ? A1C // 平面BMD ? A1C ? 平面BMD ? ? ?
(Ⅱ) BD ? AA1,BD ? AC得BD ? 面A1AC 于是 BD ? A1O

???3 分

AC ? BD ? O
? ABCD ? ? 1 ? ? ?? ?BAD ? 60 ? ? AO ? AC ? 3 ? ? 2 ? ? AB ? 2 ? ? ? ? ? AA1 ? 2 3 ? ? A1O ? AC ? ? ? ? A1O ? 平面ABCD cos ?A1 AC ? 60? ? ? ? ? ? ? ? ? ? ? ? A1O ? BD ? ?

???7 分 (Ⅲ)

如图建立直角坐标系, A 1 (0,0,3) A( 3,0,0)C(? 3,0,0) B(0,1,0) D(0, ?1,0)

???? ? ??? ? 3 3 ???? 3 3 M ( ,0, ) MB ? (? ,1, ? ) AC ? AC ? ( ? 2 3,0,0) ? C ( ? 2 3,0,3) 1 1 1 2 2 2 2 ??? ? ???? ? DB ? (0,2,0)BC1 ? (?2 3, ?1,3)
设平面 BC1D 的法向量为 n ? ( x, y, z)

?

? ??? ? ? ??? ? ? ? ? n ? DB ? 0 2y ? 0 ? ? n ? DB ? ? ?? ? n ? ( 3, 0, 2) ? ? ? ? ???? ? ? ? ???? ??2 3 ? y ? 3z ? 0 ? ?n ? BC1 ? ?n ? BC1 ? 0 ?
???? ? ? 9 cos ? BM , n ?? 4 7
所以,直线 BM 与平面 BC1D 所成角的正弦值为 20.
2 2 2 (Ⅰ)设 P( x, y) ,则 x ? ( y ? 2) ? ( y ? 1) ? 1 ? x ? 8 y

???9 分

???11 分

9 7 28

???12 分

???4 分

(Ⅱ)设直线 BC : y ? kx ? b , B( x1 , y1 ), C( x2 , y2 )
2 将直线 BC 代入到 x ? 8 y 中得 x ? 8kx ? 8b ? 0 ,所以 x1 ? x2 ? 8k , x1 x2 ? ?8b ???5 分
2

又因为 AB ? ( x1 ? 4, y1 ? 2), AC ? ( x2 ? 4, y2 ? 2) 所以

??? ?

??? ?

??? ? ???? AB ? AC ? ( x1 ? 4)( x2 ? 4) ? ( y1 ? 2)( y2 ? 2) ? ( x1 ? 4)( x2 ? 4) ? ( kx1 ? b ? 2)( kx2 ? b ? 2) ? (k 2 ? 1) x1 x2 ? [k (b ? 2) ? 4]( x1 ? x2 ) ? (b ? 2) 2 ? 16 ? 0

? ?8b (k 2 ? 1) ?8k [k (b ? 2) ? 4] ? (b ? 2)2 ? 16 ? 0 ? b2 ?12b ?16k 2 ? 32k ? 20 ? 0 ? (b ? 6)2 ?16(k ? 1)2 ? 0 ???8 分
? b ? 4k ? 10 或 ? b ? ?4k ? 2
所以恒过定点 (?4,10) 21. ???10 分 ???12 分

(Ⅰ) f ' ( x) ?

a ? x 2 ? 1? ? 2 x ? ax ? b ?

?x

2

? 1?

2

??

ax 2 ? 2bx ? a

?x

2

? 1?

2

令 f ' ( x) ? 0 ? ax2 ? 2bx ? a ? 0 ? ? ? 4(b2 ? a2 ) ? 0

???2 分

? f ' ( x) ? 0 有两实根不妨记为 ? , ?

x
f ' ( x)
f ( x)

? ??,? ?
?
?

?
0
极小

?? , ? ?
?
?

?
0
极大

? ? , ???
?
?
???4

所以, f ( x ) 有两个极值点 ,一个极大值点一个极小值点 分
2 (Ⅱ) ax ? 2bx ? a ? 0 ,由韦达定理得 ? ? ? ? ?

2b a

2 f ?? ? ? ?1? ? ?? ? a? ? b ? 1 ? 0 ? ? ? 2 ? ? 2 ? a ?? ? ? ? ? 2b ? 0 ? ?? ? ? ??? ? ? ? ? 0 ?? ? ? 2 f ?? ? ?1 ? ? ? ? ? a? ? b ? 1 ? 0

6分

?? ? ? ? 0 ? b ? 0, ? ? ?1, ? ? 1,所以 a ? 2
(Ⅲ) 因为 g ( x) ?

???7 分

2e x ? 0 ,所以 m ? 0 e2 x ? 1

???8 分

又因为当 x ? 0 时,不等式恒成立

e x ? e? x ? 2 所以,原问题 ? m ? 对一切 x ? ? ??,0? ? ? 0, ??? 恒成立 x2
法一、设 u ( x) ?

e x ? e? x ? 2 ( x ? ? ??,0? ? ? 0, ??? ) x2

?e u ( x) ?
'

x

? e? x ? x 2 ? 2 x ? e x ? e ? x ? 2 ? x4

?e ?

x

? e? x ? x ? 2 ? e x ? e? x ? 2 ? x3

x ?x x ? 2 e x ? e ? x ? 2 , h ' ( x) ? e x ? e ? x x ? e x ? e ? x , h '' ( x) ? e x ? e ? x x 设 h( x ) ? e ? e

?

?

?

?

?

? ?

?

?

?

当 x ? 0 时, e ? e
x

?x

,所以 h'' ( x) ? 0 ,当 x ? 0 时, e ? e
x

?x

,所以 h'' ( x) ? 0 ,

所以 h' ( x) 在 R 上单调递增,又因为 h' (0) ? 0 所以当 x ? 0 时, h' ( x) ? 0 ,当 x ? 0 时, h' ( x) ? 0 所以 h( x) 在 ? ??,0? 上递减, ? 0, ??? 递增,所以 h( x) ? h(0) ? 0 所以当 x ? 0 时, u ' ( x) ? 0 ,当 x ? 0 时, u ' ( x) ? 0 所以 u ( x) 在 ? ??,0? 上递减, ? 0, ??? 递增,所以 h( x) ? lim h( x) ? 1
x ?0

???10 分

所以 0 ? m ? 1 法二不妨设 x ? 0

???12 分

h( x) ? ? e x ? e ? x ? ? mx 2 ? 2 h' ( x) ? ? e x ? e ? x ? ? 2mx , h '' ( x) ? ? e x ? e ? x ? ? 2m
x ?x ? 2 ? 2m , h'' ( x) ? 0 ,所以 h' ( x) 在 ? 0, ??? 上单调递增, h' ( x) ? h' (0) ? 0 当 m ? 1 时, e ? e

?

?

所以

h( x) 在 ? 0, ??? 上单调递增, h( x) ? h(0) ? 0 ,所以当 m ? 1 时成立???10 分
2 2 '' 当 m ? 1 时 h ( x) ? 0 得 x ? ln(m ? m ? 1), 令x0 ? ln(m ? m ? 1)

当 x ? ? 0,x0 ? 时 h'' ( x) ? 0 所以 h' ( x) 在 ? 0,x0 ? 上单调递减, h' ( x) ? h' (0) ? 0 所以

h( x) 在 ? 0,x0 ? 上单调递减, h( x) ? h(0) ? 0 ,与条件矛盾,同理 x ? 0 时亦如此
综上 0 ? m ? 1 22. (Ⅰ) 12 分

? ? ? ? ?AQC ? ?ACB ? PA为圆O切线 ? ?PAB ? ?ACB ? ? ? ?ACB ~ ?CQA ? AQ为圆O切线 ? ?QAC ? ?CBA ? ? AC AB ? ? AC 2 ? AB ? CQ CQ AC
???5 分 (Ⅱ)

AB / / CD ? ?PAB ? ?AQC

AB // CD ? ? BP AP AB 1 ? ? ? ? ? AP 1 ? ? ? ? PC PQ QC 3 ? ? ? QC ? 3 3, PC ? 6 AQ 2 ? ? ? BP ? 2, AB ? 3 ?
AP 为圆 O 切线 ? AP2 ? PB ? PC ? 12 ? QA ? 4 3
又因为 AQ 为圆 O 切线 ? AQ ? QC ? QD ? QD ?
2

16 3 3

???10 分

23. (Ⅰ) C1 : x2 ? 2 y 2 ? 2 , l : 2 y ? x ? 4 (Ⅱ)设 Q ???5 分

?

2 cos ? ,sin ? ,则点 Q 到直线 l 的距离

?

d?

2 sin ? ? 2 cos ? ? 4 3

2sin(? ? ) ? 4 2 4 ? ? 3 3

?

???8 分

当且仅当 ? ?

?
4

? 2 k? ?

?
2

,即 ? ? 2 k? ?

?
4
2

( k ? Z )时取等
2 2 2 2 2 2

???10 分

24.解: (Ⅰ)由柯西不等式得, (a ? b ? c) ? (1 ? 1 ? 1 )(a ? b ? c ) ? 3 ∴? 3 ? a?b?c ? 3
2 2

所以 a ? b ? c 的取值范围是 [? 3,
2 2 2 2 2

3]

???5 分 ???7 分

(Ⅱ)同理, (a ? b ? c) ? [1 ? (?1)? 1 ](a ? b ? c ) ? 3 若不等式 | x ?1| ? x ? 1 ? (a ? b ? c) 对一切实数 a, b, c 恒成立,
2

则 x ? 1 ? x ? 1 ? 3 ,解集为 ( ??, ? ] ? [ , ??)

3 2

3 2

???10 分

2014 年东北三省三校第一次高考模拟考试 英 语 试 卷 本试卷分第 I 卷(选择题)和第 II 卷(非选择题) 。考试结束,将本试卷和答题卡一并交回。 (满分 150 分,考试时间 120 分钟) 注意事项: 1.答第 I 卷前,考生务必将自己的姓名、准考证号填写在答题卡上。 2.选出每小题答案后,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,再选涂其他答案标号。不能答在本试卷上,否则无效。 第 I 卷(选择题,共 100 分) 第一部分:听力(共两节,满分 30 分) 做题时,先将答案标在试卷上。录音内容结束后,你将有两分钟的时间将试卷上的答案转涂到 答题卡上。 第一节(共 5 小题;每小题 1.5 分,满分 7.5 分) 听下面 5 段对话。每段对话后有一个小题,从题中所给的 A、B、C 三个选项中选出最佳选项, 并标在试卷的相应位置。听完每段对话后,你都有 10 秒钟的时间来回答有关小题和阅读下一小题。 每段对话仅读一遍。 1.What is the man doing now? A.Watching TV. B.Playing a game. C.Preparing for an exam. 2.Why hasn’t Adam come yet? A.He was absorbed in his work. B.He quarreled with the woman. C.He wasn’t informed of the meeting time. 3.Where does the conversation take place? A.At the man’s house. B.At a bank.

C.At a university. 4.How many students are there in the speakers’ class? A.18. B.21. C.20. 5.What are the speakers talking about? A.A workmate. B.A classmate. C.A neighbour. 第二节(共 15 小题;每小题 1.5 分,满分 22.5 分) 听下面 5 段对话或独白。每段对话或独白后有几个小题,从题中所给的 A、B、C 三个选项中选 出最佳选项,并标在试卷的相应位置。听每段对话或独白前,你将有时间阅读各个小题,每小题 5 秒钟;听完后,各小题将给出 5 秒钟的作答时间。每段对话或独白读两遍。 听第 6 段材料,回答第 6、7 题。 6.What is beside the computer center? A.The sports center. B.The classroom building. C.The library. 7.Where will the speakers go next? A.To the library. B.To the sports center. C.To the computer center. 听第 7 段材料,回答第 8、9 题。 8.Why doesn’t the man want to watch the World Cup Final? A.He isn’t good at football. B.He won’t have time. C.His TV doesn’t work. 9.What does the woman like?

A.Football. B.Golf. C.Horse riding. 听第 8 段材料,回答第 10 至 12 题。 、 10.Why is the man unwilling to go to Florida? A.It’s too boring. B.It’s too expensive. C.It’s too crowded. 11.What did the speakers do last year? A.They travelled around Sky Valley Resort. B.They attended a New Year’s Eve party. C.They went skiing. 12.How does the woman feel in the end? A.Annoyed. B.Pleased. C.Excited. 13.What is the probable relationship between the speakers? A.Neighbours. B.Workmates. C.Policewoman and victim. 14.What is the purpose of the woman’s visit to the man? A.To borrow his telephone. B.To get information about a theft. C.To ask him to call the police. 15.What happened last night? A.The woman’s house was broken into. B.The window of the woman’s house was smashed(打碎). C.The woman’s car was broken into.

16.What did the woman do last night? A.She worked late. B.She bought a CD player. C.She went to a party. 听第 10 段材料,回答第 17 至 20 题。 17.What is the speaker mainly talking about? A.Doxey’s theory. B. The development of tourism. C. The influence of social factors on tourism. 18.Why do people in the host area welcome the tourists in the first stage? A.They benefit from them. B.They are curious. C.They learn from them. 19.What influences relationships between tourists and host people in the second stage? A.Commercial factors. B.Political factors. C.Social factors. 20.What does the govemment do in the fourth stage? A.They protect the host area. B.They set more restrictions. C.They provide public services. 第二部分:阅读理解(共两节,满分 40 分) 第一节(共 15 小题;每小题 2 分,满分 30 分) 阅读下列短文,从每题所给的四个选项(A、B、C 和 D)中,选出最佳选项,并在答题卡上将该项涂 黑。 A Nicolai Calabria has already become one of the best 106-pound wrestlers. He has successfully climbed to the top of the highest mountain in Africa, and most importantly, he’s changed

the attitude of any normal person who watches him compete. The 17-year-old teenager has one leg. He was born that way, but his goal is to show it’s not the one thing that defines him. He would also be the first one to tell you that he just wants to prove to others and himself that he’s just like other normal ones. When Calabria was young, his parents tried different prostheses(假肢)to find out which was most comfortable for their son as he tried to keep up with a family, who has a preference for sports. At first, the Calabrias had their middle child in a prosthesis that looked and functioned like a “real” leg, but soon they decided to choose a different path when they found it wasn’t beneficial to his movement. Then the family moved him to arm crutches(手杖)and from there a new burst of energy was found. Getting others to believe that he could take off on the soccer field took a little bit longer. When the Calabrias moved to Concord, they had a hard time convincing the town soccer program to allow a child like him to compete with able-bodied kids. After months and months of debates and meetings, the family received the answer they were looking for. Since then, witnessing a young man on crutches who competes against those with two legs has become a fixed event in the Concord community. “At that time I had nothing but discouragement working with the soccer community, however, now I have nothing but admiration for the fact that he’s been allowed to play, and people see that he adds value to game,” his father said. “I just think it’s a great result.” 21.This passage shows us a boy with one leg __________. A.can do what a normal teenager can B.is realizing as many dreams as he can C.can make a sport event more valuable D.can add value to society 22.We can learn from Paragraph 5 that __________. A.Calabria proved to be the most excellent player of the team B.it was not easy for Calabria to be accepted to the town soccer team

C.Calabria’s parents didn’t allow him to play soccer at first D.there are some other disabled children in the soccer team 23.In Paragraph 5, the underlined part probably means __________. A.a must-see B.a planned programme C.an extra game D.a special occasion 24.It is implied in the last paragraph that Nicolai’s father __________. A.has been discouraged since Nicolai played soccer B.thinks that Nicolai is playing a key role in the team C.is very delighted that Nicolai can play soccer in the team D.hasn’t expected that Nicolai can be allowed to play soccer B Some colors people see late at night could cause signs of clinical depression. That was the finding of a study that builds on earlier study findings. They show that individuals who live or work in low levels of light overnight can develop clinical depression. Doctors use the word “clinical depression” to describe severe form of depression. Signs may include loss of interest or pleasure in most activities, low energy levels and thoughts of death or suicide. In the new study, American investigators designed an experiment that exposed hamsters(仓 鼠)to different colors. The researchers chose hamsters because they are nocturnal, which means they sleep during the day and are active at night. The animals were separated into four groups. One group of hamsters was kept in the dark during their night-time period. Another group was placed in front of a blue light, a third group slept in front of a white light, while a fourth was put in front of a red light. After four weeks, the researchers noted how much sugary water the hamsters drank. They found that the most depressed animals drank the least amount of water. Randy Nelson heads the Department of Neuroscience at Ohio State University. He says animals

that slept in blue and white light appeared to be the most depressed. “What we saw is that these animals didn’t show any sleep uneasiness at all but they did mess up biological clock genes and they did show depressive sign while if they were in the dim(微弱)red light, they did not.” Randy Nelson notes that photosensitive (感光) cells in the eyes have little to do with eyesight. He says these cells send signals to the area of the brain that controls what has been called the natural sleep-wake cycle. He says there’s a lot of blue in white light. This explains why the blue light and white light hamsters appear to be more depressed than the hamsters seeing red light or darkness. 25.Researchers use hamsters in the experiment because __________. A.they are similar to humans in dealing with colors B.they are easy to observe and study C.they are sensitive to colors like human beings D.they are active at night and sleep during the day 26.What sign shows that the hamsters are being depressed? A.They drink less sugary water. B.They don’t sleep well. C.Their eyesight becomes worse. D.Their energy level becomes low. 27.__________ tends to cause hamsters to be depressed. A.Dim light B.Red light C.Blue light D.Darkness 28.What can help people who work late at night to avoid being depressed? A.Not being exposed to dim red light when using computers. B.Equipping their computer screens to put it more in the reddish light. C.Living or working in low levels of light overnight.

D.Going to see doctors of clinical depression regularly for help. C Welcome to the world of multitasking — a place where the measure of a person is how many jobs they can perform at the same time. In fact, if experts are to be believed, multitasking is a disastrous idea. One of the opponents of multitasking is Dr. Clifford Nass, a professor at Stanford University. “People who multitask frequently are less able to pay attention; they’re worse at managing their memory.” he said. In his opinion, the loss that we get with multitasking is harmless in some situations, for example, part of doing business in the digital world: but you can’t do serious work like writing, thinking or solving an important problem this way. You do worse even as you think you’re doing better. All the time the research points to a simple fact: the brain cannot cope. When you stop midway through composing a report to check an email, you force your brain to stop and regroup. It is like pressing the pause button during a movie, meaning the film takes longer to watch. And as for Dr. Nass, the problems extend beyond the brain. Young people who frequently multitask are not as socially and emotionally healthy as those who don’t. They just feel more emotionally satisfied and the feeling is so good and they are bound to desire it again. Todd Oppenheimer, a writer said “We’ve become a very short-term society and don’t reward people for taking a lot of time on something.” He fears we may end up losing the next generation of great thinkers. “It’s really unfortunate because the long-term challenges of our world — environmental issues, financial issues — require people to think wisely about the long-term consequences of what they do. And it’s no coincidence that the kind of people who do think long-term don’t multitask.” 29.According to Dr. Nass, multitasking __________. A.makes the performance emotionally affected only B.contributes to memorizing various things C.may result in losing the next generation of great thinkers D.can be performed using digital tools

30.From the passage, we can tell __________. A.the loss that we get with multitasking is harmless B.we mistakenly believe that we’re doing better by switching between tasks C.doing multitasking does harm to us in every area D.for every task you add to your multitasking, you can finish your goal quicker 31.Which of the following is a multitasking addict? A.You turn your cellphone to silence when you’re out to dine with friends. B.You watch from start to finish without distraction when playing a DVD. C.You have your office desk covered with paperwork from various unfinished projects. D.You feel that when you try to do too much at once, the result always suffers. 32.The author mainly wants to tell us __________. A.the less you switch, the better you do B.it is more efficient to do things all in a mixed way C.it takes longer for us to become a great thinker D.we shouldn’t be lazy if we want to accomplish many tasks D Plan on traveling around the USA? There are a number of outstanding websites that can make your American dream come true. www. 101usaholidays. co. uk This is the latest offering that features 101 holiday ideas to the USA. It’s a diverse selection, ranging from touring in the footsteps of Martin Luther King to a golfing break in Arizona and a cycling and wine-tasting trip in California’s Napa Valley. Narrow down what you’re looking for — whether by price, region, theme and who will be traveling — and then just the photos of the relevant holidays remain on view. It’s a really clever design. http://byways. Org The National Scenic Byways Program covers 150 memorable roads. Some are natural scenic routes, such as Route l along the California coast. Others focus on history (such as Route 66) or

man-made attractions (the Las Vegas Strip). For each, you’re provided with a map telling the route’s length and how long is allowed. www. oyster. com This is the best website for reviews of hotels in US cities and tourist sites. There are photos of each hotel. Importantly, these are not promotional photos provided by the hotels, but more honest and revealing ones taken by inspectors. From the 243 hotels reviewed in New York, you can narrow down what you are looking for by locations, facilities and styles, or just pick out a selection of the best. http://seaworldparks. com. SeaWorld in San Diego can make dreams come true, but the price is not affordable for the majority of people. So turn to long-established, giving big discounts on tickets, hotel and dining at SeaWorld. 33.The text is probably from __________. A.a science report B.a news article C.a travel brochure D.a book review 34. Travel ideas for wine lovers are available at __________. A.www. 101usaholidays. co. uk B.http: //byways. org C.www. oyster. com D.http: //seaworldparks. com 35.What can be inferred from the text? A.You can see some man-made attractions driving along Route 66. B.The National Scenic Byways Program covers all American roads. C.Photos on www. oyster. com can be trusted by tourists. D.http://seaworldparks. com is a newly established website. 第二节(共 5 小题;每小题 2 分,满分 10 分)

根据短文内容,从短文后的选项中选出能填人空白处的最佳选项。选项中有两项为多余选项。 Don’t you just love ice skating every winter? I am sure that since winter is approaching, your skates are set to come out, just waiting to be used. Impress your friends with your new trick on how to ice-skate backwards with the help of these tips. Stand straight The first thing that you need to do is, stand straight. are falling backwards. Don’t worry; this happens to all. Confidence is what you need The most important step while learning how to skate backwards, is having enough confidence in yourself and in what you are doing. How can you achieve this? By practice. One of the important ice skating tips and techniques is that if you feel that you are losing your balance, then scissor(做剪式运动)your skates. Maintain speed Try sculling(滑)with one skate while rolling in a straight line with the other. 38 . 37 . 36 , if you feel that you

Now bring the skate which you are using to scull, and then again, repeat the same process. Make sure that you put most of your weight on the skate which is moving straight and not the one with which you are sculling. Now, try the same thing using the other foot. 39 .

Once you are confident that you can scull with either foot, the next thing that you have to do is increase your speed. Try some of your own tricks now. Scull with either foot or with both at the same time. Scull and be aware While you keep one foot straight, keep sculling with the other. You can do that with both feet at the same time. 40 , but don’t get so involved that you don’t see where

you are going. If you are not watching your back, you might just bang against something or someone. A.That is, keep pushing yourself backwards with an outwards stroke(滑动)

B.While going backwards, just get used to the feeling of moving backwards C.Keep practicing this till you are confident about it D.Increase your speed now E.One must be brave enough to learn to ice-skate backwards F.Concentrate on what you are doing G.Just put your chin up and slightly bend your knees

第三部分:英语知识运用(共两节,满分 45 分) 第一节:完形填空(共 20 小题;每小题 1.5 分,满分 30 分) 阅读下面短文,从短文后各题所给的四个选项(A、B、C 和 D)中,选出可以填入空白处的最佳选项, 并在答题卡上将该项涂黑。 It was Easter 1990, and my family was on a once-m-a-lifetime trip to the Solomon Islands for my sister’s wedding. I was traveling with my husband, my four-year-old son and been in the Solomons, so we’d 42 41 it was very hot

lots my daughter, who was nearly two. We’d of light

cotton clothes and were wearing the same as it was summer. The only problem was that we had to catch an overnight bus that our early morning 44 to Honiara. It was cold on the bus! My husband and I were snuggling(依偎)our 45 46 . The bus stopped many times as . The little ones were 47 , 43 at midnight for the airport so we could make

children as best we could, trying to keep them passengers got on and off, and we didn’t take much

unable to sleep for the biting cold. Then at one stop, an older lady came forward from the back of the bus and paused by our seat. I sat forward to see what she wanted and she out a small knee rug(毛毯). My little girl reached 50 49 48

for it and pulled it tight

her. The lady said she’d made the rug herself and, seeing that we were cold, she 51 off,

wanted us to use it. After she went back to her seat, our now-warm children and they slept snugly all the way to the airport. Just a stop or two the rug lady made her way to the door to get off. I tried to 53 52

we arrived,

the children to return

her blanket, but she protested. “No,” she said, “ one!” Over the years, that little blanket became a 55

54

it. I can always make another

to me and to my children of the kindness

of strangers. I told the story to the children over and over and hung the rug on the end of my daughter’s bed so we would see it often. That rug was handmade with the colours carefully chosen. Yet its maker ever people were bad or world. I am forever of the 41. A.confirmed B.told C.advised D.persuaded 42. A.offered B.piled C.packed D.discovered 43. A.left B.went C.pulled D.drove 44. A.train B.trip 60 59 , not just for the warmth that night, but for the lifelong reminder 57 56 with it to keep my family warm for a night. If 58 that there is goodness in the

, it served as a

of people. That blanket has warmed my life.

C.ride D.flight 45. A.comfortable B.warm C.calm D.quiet 46. A.care B.notice C.action D.attention 47. A.naughty B.noisy C.restless D.energetic 48. A.showed B.made C.put D.held 49. A.silently B.eagerly C.patiently D.bravely 50.

A.around B.on C.over D.towards 51. A.slept B.went C.nodded D.shook 52. A.after B.until C.as D.before 53. A.unload B.unwrap C.unfold D.unpack 54. A.keep B.possess C.return D.bring 55. A.sign B.mark C.symbol

D.decoration 56. A.remained B.parted C.deserted D.handed 57. A.cruel B.sensitive C.cautious D.ugly 58. A.story B.gift C.reminder D.reward 59. A.delighted B.pitiful C.excited D.grateful 60. A.goodness B.warmth C.welcome D.help 第 II 卷(非选择题,共 50 分) 第三部分:英语知识运用(共两节,满分 45 分)

第二节: (共 10 小题;每小题 1.5 分,满分 15 分) 阅读下面材料,在空白处填人适当的内容(不多于 3 个单词)或括号内单词的正确形式。 It was a sunny day. A little boy’s father was sitting on the couch, drinking a beer while watching 61 basketball match. Seeing this, the boy rushed to his father and shouted, 62 the television screen,

“Daddy, show me how to play catch!” The father, staring

replied, “ Let me finish watching the match. Play outside and come back in five minutes. ” “Okay, Daddy!” said the boy, running out of the room. Five minutes later, the boy returned, 63 (scream), “Daddy, let’s play catch now!”

By this time, the father had opened another cold beer and another match was beginning. 64 (patient) with the boy’s interruption. the dad brought a magazine to his son.

On the cover of the magazine was a large picture of the world. The father, who was angry and 65 66 . Then, the father turned

(bother), began tearing the magazine cover into small

to his boy and said, “Son, once you put this picture back together, we can play catch, but do not interrupt me again 67 you finish.” 68 (finish), Daddy! Can we play 69 lay the magazine

A few minutes later, the boy returned and said, “I

catch now?” Surprised, the father glanced towards his child, and

with the world pieced perfectly together in his small hands. The dad asked his child how he put the world together so quickly. ‘ ‘ 70 was simple,” said the boy. “On the back of the world was the picture of a

person, and once I put the person together, that’s when the world came together.” 第四部分:写作(共两节,满分 35 分) 第一节:短文改错(共 10 小题;每小题 1 分,满分 10 分) 假定英语课上老师要求同桌之间交换修改作文, 请你修改你同桌写的以下作文。 文中共有 10 处错误, 每句中最多有两处。错误涉及一个单词的增加、删除或修改。 增加:在缺词处加一个漏词符号(∧) ,并在其下面写出该加的词。 删除:把多余的词用斜线(\)划掉。 修改:在错的词下划一横线,并在该词下面写出修改后的词。

注意:1.每处错误及其修改均仅限一词; 2.只允许修改 10 处,多者(从第 11 处起)不计分。 Of all my teachers, Mr. Smith is the one who impresses me most. Because he is 54, he looks very young at his age. And he’s one of the most popular teachers m our school. Compared with other teacher, Mr. Smith pays more attention to his way of teaching. He tries various ways to make his class lively and interestingly. In his opinion, we would not only know “what”, but also understand “why”. So, instead of giving us answers immediately, he encourages us to think by themselves whenever he puts forward questions. With his help, we learned how to analyze and settle down problems. What a wonderful world of “what” he leads us to ! He is such a learning person that we all admire him very much. 第二节:书面表达(满分 25 分) 上周日,你们学校组织了一次志愿者活动。假设你是李华,请你根据以下提示给校报写一封信,报 道相关情况,要点包括: 1.活动地点:文化广场; 2.活动形式:发传单,做演讲; 3.活动内容:宣传地震常识和防震知识; 4.参加活动的感受。 注意:1.词数 100 左右; 2.可以适当增加细节,以使行文连贯; 3.开头语和结束语已为你写好,不计入总词数。 参考词汇:leaflet 传单 Dear Editor, We took part in a voluntary activity organized by our school last Sunday. ________________ ______________________________________________________________________________________ ______________________________________________________________________________________ ______________________________________________________________________________________ ______________________________________________________________________________________ ______________________________________________________________________________________

______________________________________________________________________________________ ______________________________________________________________________________________ ______________________________________________________________________________________ ______________________________________________________________________________________ ______________________________________________________________________________________ ______________________________________________________________________________________ ______________________________________________________________________________________ __________________________________________________________________________ _______________________________________________________________________________ Best wishes! Yours. Li Hua 2014 年东北三省三校第一次高考模拟考试 英语参考答案 第 I 卷(选择题,共 100 分) 听力: 1~5 CABBA 6~10 CBACB 11~15 CAABC 16~20 CABAC 阅读: 21~24 ABAC 25~28

DACB 29~32 DBCA 33~35 CAC 七选五: 36~40 GCADF

完型: 41~45 BCADB 46~50 BCDBA 51~55 CDBAC 56~60 BACDA 第 II 卷(非选择题,共 50 分) 语法填空: 61.a 62.at 63.screaming

64.Impatient 65.bothered 66.pieces 67.until / before 68.have finished 69.there 70.It/ That/This 改错: 第一行:Because 改为 Though/Although 第二行:at 改为 for 第三行:teacher 改为 teachers 第四行:interestingly 改为 interesting 第五行:would 改为 should 第六行:themselves 改为 ourselves 第七行:learned 前加 have 第八行:去掉 down 引号中 what 改为 why

第九行:learning 改为 learned 书面表达:One Possible Version: Dear Editor, We took part in a voluntary activity organized by our school last Sunday. We gathered at the Culture Square, passing leaflets to passers-by from which they can learn what the earthquake is and how to protect themselves against the earthquake. The leaflets drew the attention of the public to the damage that an earthquake can cause and told them to take action in a right and efficient way. Some made a public speech, telling people about the best place they can hide when an earthquake occurs. We have learned much from the voluntary activity, which offers us an opportunity to contribute to society. We told the public about the situation because we thought everyone should be concerned about each other and take responsibility for promoting a public cause.

Best wishes! Yours, Li Hua

听力部分录音稿 1.W: John, why don’t you watch NBA games on TV? M: Oh, I’m studying for a Chinese test tomorrow. 2.M: Where is Adam?He was supposed to meet us here half an hour ago, but he hasn’t come yet. W: I’ve just phoned and we’ve had a quarrel. He was busy with the contract and didn’t notice the time. 3.M: May I help you? W: Yes, I’d like to apply for a loan. We need the loan to build an addition to our house. M: All right. I’ll give you an application form. You can fill it out here, or take it home if you like. 4.M: Hello, Kate. Do you know how many students will go to the mountain? W: Our monitor said that the whole class will go except Tom. He has something urgent to do. That is, 20 students. M: Oh, 18 students have been there by now. 5.W: Chris, did you know about Gemma Hudson? Have you heard that she’s leaving? M: Really? How do you know that? W: She told me. She’s leaving next month. M: Actually, I’m not surprised. I didn’t think she was very happy working here. 6.W: What is the tall building over there? M: It’s the library, which houses over half a million books. It also has computer labs

and quiet study spaces. W: And the building next to it? M: That’s the computer center. The IT facilities are really advanced there. Some of its classrooms are open 24 hours a day. W: Is there a sports center on campus? M: Of course. The sport facilities are excellent. A stadium is on the northeast side of the campus. A 50-metre swimming pool is just beside it. There is a football match this afternoon. Let’s go there and have a look. 7.W: So, do you like watching the World Cup? M: Um, no. I can’t stand it. W: Mmm, I hate it too. But I want to watch the World Cup Final this weekend. But our TV won’t work. M: I can’t play, that’s my problem. If I’m not very good at a sport, I don’t like watching it. W: So, what do you like, then? M: I play golf. W: Oh, right. My husband plays too. I’m not interested in it, though. I go horse riding. M: I’d love to have a go at riding if I have time. I bet it’s good fun. 8.M: So, Sally, we should probably start thinking about our winter vacation plans. W: Yeah, I think we should fly down to Florida for a couple of weeks. M: Uh, I’d really prefer not to. Those holiday travel packages cost way too much. W: Well, how about skiing up at Sky Valley Resort for a week or so? M: I’d rather not. We did it last year. Remember? W: And we had a really good time. Do you have any suggestions? M: Umm? you know, I never have any good ideas. W: OK. Here’s something different. How about going to the New Year’s Eve party in New York City? We’ve always wanted to do that. M: But I don’t really like big parties. They’re always crowded.

W: You’re driving me crazy, Tom! All right. Let’s just stay home for two weeks! M: No way! That sounds too boring! Can’t you think of anything else? 9.W: Andy, are you busy at the moment? M: Oh, hi. Well, actually I’m expecting an important call from the office any minute but go ahead. W: I’m sorry, but it’s really important. It’s about the car. It was broken into last night? M: Oh, no! W: I want to know if you saw or heard anything. M: Did I see anything? Where? W: In the road. Did you see anybody looking suspicious? M: No, I don’t think I looked out of the window. W: Can you remember if you heard anything? They can’t have done it completely silently. I came back late from a party and I parked it at about 11:30, and then I had a shower and went to bed. M: No, I’m sorry. What have they taken? W: Well, this morning I found the driver’s window smashed. There’s glass everywhere, and the CD player has gone. M: How annoying! Is anything else missing? W: Well, it could have been worse. Luckily, there wasn’t much in the car anyway. 10.M: In today’s lecture we’ll begin with Doxey’s model for the socio-cultural impact of tourism. He identifies four stages. He identifies the first stage as happiness. Because initially the tourists are regarded as a new and interesting thing. As tourist development begins to increase, some sections of the local population become involved with tourists while others don’t, and it is increasingly the case that commercial rather than social factors are influencing relationships between tourists and the host community. People are less interested in the tourists for their own sake. This is identified

as the second stage by Doxey. If development continues to increase, the hosts get annoyed with the tourists, and this is the third stage. Well, development of the tourist area may start to get out of control, which is going to make life difficult for local people. So the policy makers, the government, the local authorities, and so on, provide more roads, more car parks and so on to try to help cope with the coming of tourists. But the lives of the local people are made increasingly difficult and in the final stage of the model, the hosts show unkindness to the tourists.


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