2010年成人高考数学试卷
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第一章2010成人高考专升本高数二真题及答案解析
、填空题:11-20小题,每小题4分,共40分,把答案写在答题卡相应题号后。
【解析】直接代公式即可。
【点评】又一种典型的极限问题,考试的频率很高。
【答案】0
【解析】考查极限将1代入即可,
【点评】极限的简单计算。
【点评】这道题有点难度,以往试题也少见。
【解析】求二阶导数并令等于零。
解方程。
题目已经说明是拐点,就无需再判断【点评】本题是一般的常见题型,难度不大。
【解析】先求一阶导数,再求二阶
【点评】基本题目。
正确答案:2
【解析】求出函数在x=0处的导数即可
【点评】考查导数的几何意义,因为不是求切线方程所以更简单了。
【点评】这题有些难度。
很多人不一定能看出头一步。
这是运算能力问题
【解析】先凑微分,再求一个原函数,最后用牛顿-莱布尼兹公式
【点评】这是标准的定积分计算题。
【解析】利用广义的牛顿-莱布尼兹公式
【点评】该题型在以往试题中出现不多,又涉及反正切函数极限。
比较难的题。
正确答案:(1,-1)
【解析】求偏导数,令偏导数等于零。
【点评】这是很规范的一道题。
2010年成人专升本招生全国统一考试高等数学(一)试卷一、选择题:1~10小题,每小题4分,共40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。
120lim(1)x x →+=( C )。
A 3 B 2 C 1 D 0 知识点:求极限)(x f 无分母或分母不为0,其极限=函数值2设sin y x x =+,则y '=( D ) A sin x B x C cos x x + D 1cos x +知识点:导数公式,求导规则v u v u '±'='±)(3设2x y e =,则dy =( B ) A 2x e dx B 22x e dx C 212x e dx D 2x e dx知识点:导数公式,复合函数求导规则 ,微分公式解:x x e x e y 222)2.(='=', dx e dx y dy x 22='=41(1)dx x -=⎰( C )。
A 21x c x -+ B 21x c x++ C ln ||x x c -+ D ln ||x x c ++ 知识点:积分公式,积分性质⎰⎰⎰+=+gdx fdx dx g f )(5设5x y =,则y '=( C )。
A 15x - B 5x C 5ln 5x D 15x + 知识点:导数公式 6limxt x e dt x→=⎰( D ) A x e B 2e C e D 1知识点:洛比达法则求型极限,变上限定积分求导 解:limxt x e dt x→=⎰11lim 0=→xx e 7设22zx y xy =+,则z x∂=∂( A )。
A 22xy y + B 22x xy + C 4xy D 22x y + 知识点:计算一阶偏导数8过点(1,0,0),(0,1,0),(0,0,1)的平面方程为( A ) A1x y z ++= B 21x y z ++= C 21x y z ++= D 21x y z ++=知识点:平面方程,三点决定一个平面。
2010年成人高等学校招生全国统一考试数学(文史财经类)答案必须答在答题卡上指定的位置,答在试卷上无效。
一、选择题:本大题共17小题,每小题15分,共85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,将近选项前的字母填涂在答题卡相应题号的信息点上。
正确答案:C【名师解析】:根据交集的概念和解不等式组可以得出结果。
【名师点评】:这是历年试卷的第一题,但一般是理科的题目,文科少见。
不过已经要求文科学生也必须掌握。
正确答案:C【名师解析】:有公式,直接求出结果。
【名师点评】:这其实是送分的题。
记住公式就行了。
这种题,出现的频率很高,是要求学员掌握学员的重点。
正确答案:A【名师解析】:二倍角公式的反方向使用。
【名师点评】:是常见的题目。
但考生往往不习惯反方向使用。
这题在课上做过强化练习。
正确答案:B【名师解析】:根据幂的运算法则和对数运算法则【名师点评】:这样的题在以往几乎年年都有(仅09年未出),属于基础知识。
学员已经相当熟悉了。
(A)甲是乙的必要条件,但不是乙的充分条件(B)甲是乙的充分条件,但不是乙的必要条件(C)甲不是乙的充分条件,也不是乙的必要条件(D)甲是乙的充分必要条件正确答案:B【名师解析】:懂得什么是充分条件,必要条件以及三角函数的简单知识就可解决了。
【名师点评】:这样的题型20年来,年年都有。
本题比去年简单,有三角函数入门知识就行。
相关知识:讲义第三套P34。
正确答案:A【名师解析】:根据奇函数定义可以判断。
(7)已知点A(-5,3),B(3,1),则线段AB中点的坐标为(A)(4,-1)(B)(-4,1)(C)(-2,4)(D)(-1,2)正确答案:D【名师解析】:直接代入线段的中点公式。
【名师点评】:这是解析几何的基础知识,只要记住公式就没有问题。
正确答案:A【名师解析】:只要明白是什么含义,就解决了问题。
【名师点评】:函数的基础知识。
复习时已经反复强调过,学员一般不会错。
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2010成人高考专升本高数一真题及答案解析2010成人高考专升本高数一真题及答案解析——2010年成人高等学校招生全国统一考试高等数学(一)答案必须答在答题卡上指定的位置,答在试卷上无效。
一、选择题:1-10小题,每小题4分,共40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,将近选项前的字母填涂在答题卡相应题号的信息点上。
A、3B、2C、1D、0正确答案:C【安通名师解析】根据函数的连续性立即得出结果【安通名师点评】这是计算极限最常见的重要题型。
在教学中一直被高度重视。
在上课时多次强调的重点,必须记住。
正确答案:B【安通名师解析】根据基本初等函数求导公式复合函数求导法则或直接用微分计算【安通名师点评】这样的题目已经在安通学校保过班讲义中练习过多次,属于特别重要内容。
【安通名师解析】基本积分公式,直接积分法。
【安通名师点评】这是每年都有的题目。
考的就是公式是否记住了。
课堂上讲过练过多次,要求学生对基本积分公式背熟。
正确答案:C【安通名师解析】使用基本初等函数求导公式【安通名师点评】这是本试卷中第二个直接使用基本初等函数求导公式的计算题。
考的就是公式是否掌握了。
我们在平时教学中一再要求学生对基本公式背熟。
否则寸步难行。
正确答案:D【安通名师解析】用洛必达法则求解【安通名师点评】这类问题在以往的考试中经常出现,重要但并不难。
是一种典型的题目。
也始终是讲课的重点。
正确答案:A【安通名师解析】把y看作常数,对x求导。
【安通名师点评】本题仍然属于基本题目,是年年考试都有的内容正确答案:A【安通名师解析】因为是选择题,只要验证点的坐标满足方程就可以了。
【安通名师点评】本题如果是填空或解答题,难度将大为增加。
现在是选择题,理解概念就行。
正确答案:B【安通名师解析】直接使用公式【安通名师点评】这是计算收敛半径最常见的题型。
比较简单比较重要。
在教学中一直被高度重视。
二、11-20小题,每小题4分,共40分,把答案写在答题卡相应题号后。
2010年成人高考专升本考试高等数学(二)试题一、选择题:1-10小题,每小题4分,共40分。
正确答案:A【名师解析】根据函数的连续性立即得出结果【名师点评】这是计算极限最常见的题型。
在教学中一直被高度重视。
正确答案:C【名师解析】使用基本初等函数求导公式【名师点评】基本初等函数求导公式是历年必考的内容,我们要求考生必须牢记。
正确答案:B【名师解析】根据基本初等函数求导公式和复合函数求导法则正确答案:D【名师解析】如果知道基本初等函数则易知答案;也能根据导数的符号确定【名师点评】这是判断函数单调性比较简单的题型。
正确答案:A【名师解析】基本积分公式【名师点评】这是每年都有的题目。
【名师解析】求出积分区间,确定被积函数,计算定积分即可。
【名师点评】用定积分计算平面图形面积在历年考试中,只有一两年未考。
应当也一直是教学的重点正确答案:C【名师解析】变上限定积分求导【名师点评】这类问题一直是考试的热点,也始终是讲课的重点。
正确答案:D【名师解析】把x看成常数,对y求偏导【名师点评】本题属于基本题目,是年年考试都有的内容正确答案:A10、袋中有8个乒乓球,其中5个白色球,3个黄色球,从中一次任取2个乒乓球,则取出的2个球均为白色球的概率为【名师点评】古典概型问题的特点是,只要做过一次再做就不难了。
二、填空题:11-20小题,每小题4分,共40分。
正确答案:0【名师解析】直接代公式即可。
【名师点评】又一种典型的极限问题,考试的频率很高。
正确答案:1【名师解析】考查等价无穷小的定义【名师点评】无穷小量的比较也是重点。
本题是最常见的且比较简单的情况。
【名师解析】性),分别求出左右极限并比较。
【名师点评】这道题有点难度,以往试题也少见。
正确答案:(-1,3)【名师解析】求二阶导数并令等于零。
解方程。
题目已经说明是拐点,就无需再判断【名师点评】本题是一般的常见题型,难度不大。
【名师解析】先求一阶导数,再求二阶【名师点评】基本题目。
2010年成人高等学校招生全国统一考试数学(文史财经类)一、选择题:本大题共17小题,每小题5分,共85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{}3-≥=x x M ,{}1≤=x x N ,则=N M ( cA.RB.C. []1,3-D. φ (2)函数x y 2sin =的最小正周期为 ( C )A. π6B. π2C.πD.2π (3)=︒︒15cos 15sin (A )A.41 B. 21 C. 43 D. 22 (4)=-8log 27232( B )A. 12B. 6C. 3D. 1(5)设甲:2π=x ,乙:1sin =x ,则( B )A. 甲是乙的必要条件,但不是乙的充分条件B. 甲是乙的充分条件,但不是乙的必要条件C. 甲不是乙的充分条件,但不是乙的必要条件D. 甲是乙的充分必要条件(6)下列函数中,为奇函数的是( A )A. 3x y -=B. 23-=x yC. xy ⎪⎭⎫ ⎝⎛=21 D. ⎪⎭⎫ ⎝⎛=x y 1log 2(7)已知点)3,5(-A ,)1,3(B ,则线段AB 中点的坐标为( D )A. )1,4(-B. )1,4(-C. )4,2(-D. )2,1(-(8)设函数ax ax x f -=22)(,且6)2(-=f ,则=a ( A )A. 1-B. 43-C. 1D. 4 (9)如果一次函数b kx y +=的图像经过点)7,1(A 和)2,0(B ,则=k ( D )A. 5-B. 1C. 2D. 5(10)若向量a )2,(x =,b ()4,2-=,且a 、b 共线,则=x ( B )A. 4-B. 1-C. 1D. 4(11)=⎪⎭⎫⎝⎛-π619cos ( A ) A. 23-B. 21-C. 21D. 23(12)已知一个等差数列的第5项等于10,前3项的和等于3,那么这个等差数列的公差 ( A )A. 3B. 1C. 1-D. 3-(13)函数x y -=4的定义域是( C )A. (][)+∞-∞-,44,B. (][)+∞-∞-,22,C. []4,4-D. []2,2-(14)从甲口袋内摸出一个球是红球的概率是2.0,从乙口袋内摸出一个红球的概率是3.0,现在从甲、乙两个口袋内各摸出一个球,这两个球都是红球的概率是( D )A. 94.0B. 56.0C. 38.0D. 06.0(15)设函数3)3()(2+-+=x m x x f 是偶函数,则=m (C )A. 3-B. 1C. 3D. 5(16)设10<<<b a ,则 ( D )A. 2log 2log b a <B. b a 22log log >C. 2121b a > D. ba ⎪⎭⎫⎝⎛>⎪⎭⎫ ⎝⎛2121(17)用0,1,2,3这四个数字,组成的没有重复数字的四位数共有( B )A. 24个B. 18个C. 12个D. 10个二、填空题:本大题共4小题,每小题4分,共16分.(18)圆2522=+y x 的圆心到直线01=++y x 的距离为22. (19)曲线123+=x y 在点)3,1(处的切线方程是0 .(20)如果二次函数的图像经过原点和点)0,4(-,则该二次函数图像的对称轴方程为 -2 .(21)某中学五个学生的跳高成绩(单位:米)分别为 a 72.1 50.1 53.1 68.1 他们的平均成绩为61.1米,则=a 1.62 .三、解答题:本大题共4小题,共49分.解答应写出推理、演算步骤. (22)在锐角三角形ABC 中,8=AC ,7=BC ,734sin =B ,求AB . 解析:由⎪⎩⎪⎨⎧=+=1cos sin 734sin 22B B B 可得71cos =B .在锐角三角形ABC 中,由余弦定理得B BC AB BC AB AC cos 2222⋅⋅-+=,即01522=--AB AB ,解得5=AB ,3-=AB (舍去).(23)已知数列{}n a 中,21=a ,n n a a 211=+. (Ⅰ)求数列{}n a 的通项公式; (Ⅱ)求数列{}n a 前5项的和5S .解析:(Ⅰ)由已知得0=/n a ,211=+n n a a ,所以{}n a 是以21=a 为首项,21为公比的等比数列,则有1212-⎪⎭⎫ ⎝⎛⋅=n n a 即221-=n n a .(Ⅱ)831211211255=-⎥⎥⎦⎤⎢⎢⎣⎡⎪⎭⎫ ⎝⎛-=S .(24)已知椭圆的离心率为35,且该椭圆与双曲线1422=-y x 焦点相同,求椭圆的标准方程和准线方程.解析:由已知可得椭圆焦点为)0,5(1-F,)0,5(2F . 设该椭圆的标准方程为12222=+b y ax )0(>>b a ,则 ()⎪⎩⎪⎨⎧==-,355,5222a b a 解得⎩⎨⎧==,2,3b a 所以椭圆的标准方程为14922=+y x ,椭圆的准线方程为5592±=±=c a x ,即559±=x .(25)设函数24)(3++=ax x x f ,曲线)(x f y =在点)2,0(P 处切线的斜率为12-,求:(Ⅰ)a 的值;(Ⅱ)函数)(x f 在区间[]2,3-的最大值与最小值.解析:(Ⅰ)由已知可得a x x f +=212)(',故有12)0('-=f ,得12-=a . (Ⅱ)2124)(3+-=x x x f ,)1)(1(121212)('2-+=-=x x x x f . 令0)('=x f ,解得1±=x .因为70)3(-=-f ,10)1(=-f ,6)1(-=f ,10)2(=f ,所以)(x f 在区间[]2,3-的最大值为10,最小值为70-.参考答案:一、选择题:本大题共17小题,每小题5分,共85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)答案 C解析:{}[]1,313-=≤≤-=x x N M . (2)答案 C解析:本题中2=ω,所以最小正周期ππωπ===222T . (3)答案 A解析:由二倍角公式可知,41152sin 2115cos 15sin =︒⨯=︒︒. (4)答案 B . 解析:()633338log 272323232=-=-=-,所以选B .(5)答案 B 解析:2π=x ⇒1sin =x ,同时1sin =x ⇒/2π=x .故选B .(6)答案 A解析:奇函数的是)()(x f x f -=-,可知答案选A . (7)答案 D解析:线段AB 中点的坐标为 ⎝⎛+-235,⎪⎭⎫+213,即为)2,1(-. (8)答案 A解析:由6)2(-=f ,则628-=-a a ,1-=a . (9)答案 D解析:一次函数b kx y +=的图像经过点)7,1(A 和)2,0(B ,则有⎩⎨⎧==+,2,7b b k 解得=k 5.(10)答案 B解析:a 、b 共线,所以0)2(24=-⨯-x ,解得1-=x . (11)答案 A 解析:2365cos 654cos 619cos -==⎪⎭⎫ ⎝⎛+-=⎪⎭⎫ ⎝⎛-ππππ.(12)答案 A 解析:由题意知,⎪⎩⎪⎨⎧=⨯+==+=,32233,1041315d a S d a a 解得⎩⎨⎧=-=,3,21d a 故选A .(13)答案 C 解析:函数x y -=4有意义,则需04≥-x ,也即4≤x ,解得.故选C .(14)答案 D解析:两个球都是红球说明甲口袋内摸出一个球是红球和乙口袋内摸出一个红球,两个事件必须同时发生,故都是红球的概率为06.03.02.0=⨯. (15)答案 C解析:函数3)3()(2+-+=x m x x f 是偶函数,则有)1()1(f f =-,3)3(13)1()3()10(22+-+=+-⨯-+-m m ,解得=m 3.(16)答案 D解析:本题可以直接用特殊值代入,选出正确答案,比如对于2log 2log b a <,取2141lo g 2lo g 2lo g 2241-==,121log 2log 2log 2221-==,显然可以判断A 错误.同理 可判断B 和C 也是错误的.(17)答案 B解析:由题可知,千位上有3种填法,百位上有3种填法,十位上有2种填法,个位上有1种填法.根据乘法原理共有181233=⨯⨯⨯种填法,也即有18个没有重复数字的四位数. 二、填空题:本大题共4小题,每小题4分,共16分. (18)答案22解析:圆2522=+y x 的圆心为)0,0(,圆心到直线01=++y x 的距离为221110022=+++. (19)答案 036=--y x解析:由123+=x y 知x y 6'=,则6')3,1(=y ,此即为切线的斜率6,切线方程为)1(63-=-x y ,即036=--y x .(20)答案 2-=x .解析:二次函数的图像经过原点和点)0,4(-,可知对称轴经过原点和点)0,4(-的中点,所以对称轴方程为224-=+-=x ,即2-=x . (21)答案 62.1解析:由题意知()61.1 72.1 50.153.168.151=++++⨯a ,解得62.1=a . 三、解答题:本大题共4小题,共49分.解答应写出推理、演算步骤.(22)解析:由⎪⎩⎪⎨⎧=+=1cos sin 734sin 22B B B 可得71cos =B . 在锐角三角形ABC 中,由余弦定理得B BC AB BC AB AC cos 2222⋅⋅-+=,即01522=--AB AB ,解得5=AB ,3-=AB (舍去). (23)解析:(Ⅰ)由已知得0=/n a ,211=+n n a a , 所以{}n a 是以21=a 为首项,21为公比的等比数列,则有1212-⎪⎭⎫⎝⎛⋅=n n a 即221-=n n a .(Ⅱ)831211211255=-⎥⎥⎦⎤⎢⎢⎣⎡⎪⎭⎫ ⎝⎛-=S .(24)解析:由已知可得椭圆焦点为)0,5(1-F ,)0,5(2F .设该椭圆的标准方程为12222=+by a x )0(>>b a ,则()⎪⎩⎪⎨⎧==-,355,5222ab a 解得⎩⎨⎧==,2,3b a所以椭圆的标准方程为14922=+y x ,椭圆的准线方程为5592±=±=c a x ,即559±=x . (25)解析:(Ⅰ)由已知可得a x x f +=212)(',故有12)0('-=f ,得12-=a .(Ⅱ)2124)(3+-=x x x f ,)1)(1(121212)('2-+=-=x x x x f .令0)('=x f ,解得1±=x .因为70)3(-=-f ,10)1(=-f ,6)1(-=f ,10)2(=f , 所以)(x f 在区间[]2,3-的最大值为10,最小值为70-.。
一.语音知识(共 5 分小题:每题 1.5 分,共7.5 分。
)在下列每组单词中,有一个单词的划线部分与其他单词的划线部分的读音不同,批出这个词。
1. A certain B. railway C. sail D. wait2. A Thursday B. thousand C. television D. result3. A push B. number C. cut D. rubber4. A. everyone B. reply C. safety D. physics5. A. attention B. station C. direction D. question二、词汇与语法知识(共15 小题:每小题 1.5 分,共22.5 分。
)6. What do you imagine the child uses this old tool______?A. aboutB. byC. forD. of7. –Have you got a camera? --No. I should buy______ .A. itB. oneC. thatD. this8. Peter was about to unlock the door_____ he found someone had broken into the room.A. onceB. beforeC. thanD. when9. The speaker, _______ for his speeches. Was warmly received by the students.A. knownB. to be knownC. having knownD. being known10. His______ is so great that money doesn’t mean much to him.A. ideaB. richnessC. healthD. wealth11. My husband and I both go out to work, ______we share housework at home.A. forB. soC. yetD. or12. –Would you like to go to the cinema with us tonight?-_______, but I don’t think I can afford the time.A. I’d like toB. I’d better goC. I didn’t want toD. I wouldn’t13. It is recorded that in 1892 the weather became so cold that the river _________over.A. freezesB. was freezingC. ha frozenD. froze14. The President gave the Secretary of State 30 days________ the report.A. completesB. to completeC. completingD. completed15. –Who do you think has made my room so dirty, Mom?--I ________be your younger brother.A. mustB. shallC. willD. would16. Hold on, please. I’ll put you______ to the manager.17. People were disturbed and began to see where the noise______ .A. is comingB. was comingC. has comeD. had come18._______ in the letter did the young man say anything about his mistake.A. AnywhereB. EverywhereC. NowhereD. Somewhere19. The Greens chose to live______ life was cheap, and they moved to a small town years ago.A. ifB. untilC. whenD. where20. I wrote a letter to the car dealer, __________what had happened to my new car.A. explainingB. to explainC. explainsD. explained二.完形填空(共15 小题:每题 2 分,共30 分。
)通读下面的短文,掌握大意。
然后,从每小题的四个选择项中选出最佳选项。
Everyone likes things that are free, and businesses often five things for free to customers as a way of getting more people to pay attention to their products. Ariely, a scientist from MIT, did an experiment on what people would do when_21 ____things that were free. He ___22___a group of students two kinds of chocolates: the good one for 15 cents each and the poor one for 1 cent each. The good chocolate was worth $1.00, so 15 cents was very cheap, ___23_____ the poor quality chocolate was worth 5 cents, so ___24____ it for 1 cent wasn’t very cheap. Most people chose the high quality chocolate for15 cents. That’s not a ____25_____ . But then Ariely lowered the ____26____of both piecesof chocolate by 1 cent. If people were ____27______correctly, then they should ____28_____choose the good quality chocolate. But that ____29_____ what happened.Most people chose the free chocolate. This doesn’t make sense in our ____30______way of understanding economic behavior(经济行为). What is happening here? Ariely ______31_______that people want to get a good bargain. So they also want to reduce risk(风险). That is, they want to _____32_____the chance of making a ____33___ . if you pay14 cents for a piece of chocolate, and the you don’t ____34____ like it when you eat it, youhave lost 14 cents. But when something is free and you don’t like it, you haven’t lost anything.People would ____35___ not to take a risk over getting a better bargain.21. A. facing B. buying C. giving D. treating22. A. posted B. produced C. offered D. told23. A. if B. as C. for D. but24. A. getting B. holding C. eating D. making25. A. dream B. reason C. reply D. surprise26. A. weight B. size C. price D. quality27. A. working B. thinking C. planning D. locking28. A. still B. once C. almost D. even29. A. should be B. shouldn’t be C. is D. isn’t31. A. questioned B. explained C. agreed D. added32. A. find B. learn C. lower D. take33. A. decision B. mistake C. promise D. warning34. A. usually B. gradually C. certainly D. actually35. A. start B. prefer C. manage D. afford三.阅读理解(共15 小题:每题3 分,共45 分)阅读下列短文,然后根据短文的内容从每小题的四个中选择项选出最佳的一项。
AProbably no other musical instrument (乐器) is as popular around the world as the guitar (吉他). Almost every kind of music needs a guitar. Country and western music would not be the same without a guitar. The Spanish music called flamenco could not exist withouta guitar. The sound of American blues music would not be the same without the sad cry ofthe guitar. And rock and roll music would almost be impossible without this instrument.People do not agree about where the guitar was first played, but most agree it is very old. Some say an instrument very much like a guitar was played in Egypt more than one thousand years ago. Some others say that an old form of the modern guitar was brought to Spain from Persia sometime in the 12th century. The guitar continued to develop in Spain. In the 1700s it became similar to the instrument we know today.Many famous musicians played the instrument. The famous musician Niccolo Paganinni played and wrote music for the guitar in the early 1800s. Franz Schubert used the guitar to write some of his famous words. In modern times Andres Segovia helped make the instrument extremely popular.One kind of music for the guitar developed in the southern area of Spain called Adalusia.It will always be strongly connected with the Spanish guitar.36. What is discussed about the guitar in Paragraph 1?A. Its history in AmericaB. Its value in the music world.C. Its importance for music lovers.D. Its use in musical performance.37. Where could the oldest form of the guitar probably exist according to the text?A. In Spain.B. In Persia.C. In Egypt.D. In America.38. Who did most to make the guitar very popular?A. Andalusia.B. Andres Segovia.B. Franz Schubert.C. Niccolo Paganinni.39. What would be the best title for the text?A. Music and MusiciansB. The History of the GaitarC. Music and Musical InstrumentsD. The Most Popular Musical InstrumentBEight years ago, officials in Chicago, decided to replace the black roof on the city government building with a planted garden. The aim was to reduce energy costs, improve air quality and control the rainwater entering the city’s waste system(系统). Green roofs also help reduce a problem called urban heat islands(城市热岛现象). During hot weather, the building’s roof could reach temperatures of up to 76℃.with the garden, thetemperature of the roof area was reduced by at least 30℃. Workers planted over 150 kinds of plants that could stand bad weather. Now, the area is cooler, the building requires less energy to keep cool, and the roof looks mice. Chicago also offers money to help people pay for building their own green roofs.About five years ago, officials in Thane, India, decided to reduce the city’s depending on power from coal. The city often experiences lack of power because of the large numbers of people using electricity. Officials decided to save energy by putting water heaters(热水器) powered by the sun on top of the city’s main hospital. The hospital saved thousand s of dollars in energy costs each year. Officials then began building this kind of water heater around the city.China has announced plans to build a city called Dongtan. The company designing the city says it will produce its energy from the wind, sun and waste. The aim is for the city to be an example to the rest of China.40. What did the officials in Chicago decide to do?A. To grow plants on the roof of the government building.B. To make use of the rainwater in the city’s waste system.C. To improve the air quality of the city greatly.D. To build another government building.41. What problem does Thane have according to the text?A. The city doesn’t have enough electricity for its people.B. the city’s main hospital lacks money for energy costs.C. The city needs more water heaters for its people.D. The city needs to control its population growth.42. Why does China plan to build the new city?A. To set an example of using clean energy.B. To provide energy for the rest of China.C. To learn how to use new energy forms.D. To gain experience in city design.43. What does the author try to tell the readers about?A. Problems in big cities of the world.B. The rising energy costs in cities.C. Different ways of going green.D. Energy problems in the world.COn my way home from word one day in 1994, I stopped at a supermarket for shopping. I was behind two customers. The person checking out was a young mother with her little girl. As the clerk was scanning(扫描) the things she had chosen, they young lady was carefully counting her money, worried. After the last thing was scanned, the clerk told the young mother the total.The young mother’s expression turned to embarrassment(尴尬) as she realized she did not have enough money. She was holding up the line. I was smiling and trying to look sympathetic(同情)—I had been in situations where I did not have enough money plenty of times myself. Finally, the young mother gave something back to the clerk, and asked for a new total.At that moment, the woman in front of me asked the clerk to wait a moment. She tood out $5 and handed it to the clerk to pay what the young mother was short of. When the clerk tride to give the woman the fifty cents change, she pointed to the little girl and told the clerk to give it to her. The little girl smiled and ran to one of the machines to spend the money. Naturally, the young mother was thankful and said so. The woman smiled and told her she was welcome.I will never forget the look on that little girl’s face-not when she was given the money, but when she realized that a perfect stranger cared enough to help them. From the way she looked at the woman, you could tell that she learned something valuable that day: Some people do care.That woman taught me several thing with that one little deed. There are many situations in which we can help other people. It doesn’t take much money. A dollars to someone like me was something quite different to that mother.44 . Why was the young mother carefully counting her monery?A. To know how much would be left after payment.B. She got ready to pay for what she had taken.C. She was afraid that she didn’t have enough.D. To see if she could buy more thing.45. What did the author try to show to the young mother by smiling to her?A. He had seen her before.B. He was willing to help her.C. He was surprised at her embarrassment.D. He understood what happened to her.46. The woman in front of the author handed five dollars to .A. the authorB. the motherC. the clerkD. the girl47. What is the text trying to teach us?A. Women and children should be helped.B. A little care can bring about great happiness.C. there are always people who are in trouble.D. A friend in need is a friend indeed.DThere’s a time to get angry, and it’s best for our child if you do. Let’s say your child hits a playmate with a toy—hard enough to make the other child cry. How can you teach your child to feel sorry so he or she won’t do it again? Researchers say the best way for parents to react(反应) is to show their anger and to let the child know exactly why they are mad.Many parents believe that it is best to control their fee lings and to wait until they’re calm before scolding their children. But the mother or father who explains reasonably to a child,”Peter was crying because you hit him,” is not likely to attract much attention. Young children need to be scolded immediately, strongly, before they’ll take criticism(批评) to heat.When your young child does something wrong, scold him of her seriously at once. At the same time be sure to tell the child clearly what he or she has done wrong. An angry reaction without an immediate explanation does little good. Forbidding a child to play out side or not allowing him to watch TV as a punishment words well—but only when taken together with an explanation. Make certain your child understands that although his or her wrongdoing ha made y ou angry, you still love him or her. Use simple, direct words such as,” You hurt Peter. How would you feel if he hit you? you must never, never hurt people.” If your voice expresses strong feeling clearly, your message will carry enough weight.48. According to researchers, how should parents react when their child did something wrong?A. Ask the child not to do it again any time .B. Let the child know what exactly happened.C. Teach the child why and how to say sorry to others.D. Show the child how angry they are and tell him why.49. What do many parents think they should do with the wrongdoer?A. Speak strongly and angrily to him.B. Hide their feelings when talking to him.C. Explain immediately why he was wring.D. Calm themselves down before scolding him.50. What could be the best title for the text?A. Best Ways to Stop Children’s WrongdoingsB. Differences among Parents in Dealing with ChildrenC. Different Ways to Deal with Children’s WrongdoingsD. Research on Preventing Children from Hurting Others四.补全对话题(共5 句;每名满分为3 分,共15 分。