数学新课标试题

2024-07-08

数学新课标试题(共8篇)

数学新课标试题 篇1

小学数学新课标测试题

一、填空(每空1分,共34分)

1、新课程的“三维”课程目标是指(知识与技能、过程与方法、情感态度)价值观。

2、有效的数学学习活动不能单纯地依赖模仿与记忆,动手实践、自主探索与合作交流是学生学习数学的重要方式。

3、学生是数学学习的评价主人,教师是数学学组织者、引导者、合作者。

4、义务教育阶段数学课程的总目标,从知识与技能、数学思考、解决问题、情感与态度等四个方面作出了阐述。

5、《数学课程标准》安排了(数与代数、空间与图形、统计与概率、实践与综合应用)等四个学习领域。

6、学生的数学学习内容应当是(现实的,有意义的,富有挑战性的)的,这些内容要有利于学生主动地进行(观察、实验、猜测、验证、推理与交流)等数学活动。

7、九年义务教育阶段数学课程将学习时间具体划分为三个学段:第一学段(1~3年级)、第二学段(4~6年级)第三学段(7~9年级)。

8、“实践与综合应用” 在第一学段以实践活动为主题,在第二学段以综合应用为主题。

9、义务教育阶段的数学课程,其基本出发点是促进学全面、持续、和谐地发展。

二、选择题(1-5为单选,6-10为多选,每题3分,共30分)

1、数学教学是数学活动的教学,是师生之间、学生之间(③)过程。[①交往互动 ②共同发展 ③交往互动与共同发展]

2、教师要积极利用各种教学资源,创造性地使用教材,学会(②)。[①教教材 ②用教材教]

3、“三维目标”是指知识与技能、(②)、情感态度与价值观。[①数学思考 ②过程与方法 ③解决问题]

4、《数学课程标准》使用了“经历(感受)、体验(体会)、探索”等刻画数学活动水平的(①)的 动词。[①过程性目标 ②知识技能目标]

5、新课程的核心理念是(③)

[①联系生活学数学 ②培养学习数学的兴趣 ③一切为了每一位学生的发展]

6、学生的数学学习活动应是一个(ABC)的过程。A.生动活泼的 B.主动的 C.富于个性 D.被动的

7、数学活动必须建立在学生的(AB)之上。A.认知发展水平B.已有的知识经验基础

8、义务教育阶段的数学课程标准应突出体现基础性、普及性和发展性,使数学教学面向全体学生,实现(ABC)。

A.人人学有价值的数学 B.都能获得必需的数学,C.不同的人在数学上得到不同的发展。

9、评价的主要目的是(AB)。

A.为了全面了解学生的数学学习历程 B.激励学生的学习和改进教师的教学

10、课程内容的学习,强调学生的数学活动,发展学生的(ABCDE)。

A.数感 B符号感 C空间观念 D统计观念 E应用意识及推理能力

三、分析简答(10分)李老师在讲37+48时,鼓励学生动脑思考,大胆想象,学生说出了很多不同的计算方法。这体现了《数学课程标准》中所倡导的什么教学理念?

答:①算法多样化②数学学习是学生探索的过程

四、数学课程标准要求如何评价学生?(12分)

答:对学生数学学习的评价,既要关注学生知识与技能的理解和掌握,更要关注他们情感与态度的形成和发展;既要关注学生数学学习的结果,更要关注他们在学习过程中的变化和发展。评价的手段和形式应多样化,应重视过程评价,以定性描述为主,充分关注学生的个性差异,发挥评价的激励作用,保护学生的自尊心和自信心。教师要善于利用评价所提供的大量信息,适时调整和改善教学过程。

(一)注重对学生数学学习过程的评价(二)恰当评价学生的基础知识和基本技能

(三)重视评价学生发现问题、解决问题的能力

(四)评价主体和方式要多样化

(五)评价结果要采用定性与定量相结合的方式呈现,以定性描述为主

五、结合教学实际说一说,你认为新课程标准对教师的课堂教学有哪些要求?(14分)

答:(1)创设良好氛围,激励学生学习。

(2)围绕教学目标,开展教学活动。

(3)突出思维训练,培养思维能力。

(4)着眼学生发展,组织学生活动。

(5)运用多种教学方法,选用恰当教学媒体。

(6)重视教师的人格力量,规范教师的课堂行为。

数学新课标试题 篇2

近年来, 各省高考在能力型试题的设计方面不断创新, 但都主要考查以下能力:空间想像能力、抽象概括能力、推理论证能力、运算求解能力、数据处理能力、应用创新能力、学习能力, 由此综合评价学生的素质, 对学习方式的考查也就自然进入高考命题的视野。

二、重视基础知识的考查

如全国、安徽、北京等试题遵循《标准》回归基础, 源于《标准》的要求, 特别重视重要数学概念理解的考查。

2010全国课标卷 (21题+选4=24题) 中, 12个题属于基础知识层面的问题;2010山东卷和陕西卷22题题中, 都有13个题属于基础知识层面的问题;考查了集合、复数、函数和导数、数列、三角函数、直线和平面、直线和圆锥曲线、三视图、算法、积分、统计等。

三、注重通性通法的考查

淡化特殊技巧, 关注考生对中学数学知识中所蕴涵的数学思想和方法的掌握程度, 数学思想和方法是数学知识在更高层次上的抽象和概括, 它蕴涵在数学知识发生、发展和应用的过程中, 即使是考查基础知识的常规试题, 也是常考常新, 似曾相识中一定有新的内容;灵活性试题;总可以找到解决问题的通道, 不曾相识可以转化为可知可解的问题。考场上, 考生要调动头脑中的全部与其相关的知识方法, 分析与综合, 归纳与演绎, 比较与类比, 具体与抽象等思想理解、思考、分析与解决问题。

例1:2008年山东文科第15题:

已知f (3x) =4xlog23+233

求f (2) +f (4) +f (8) +…+f (28) (换元法)

四、关注考查学生的应用意识创新意识

《高中数学课程标准》的课程的基本理念明确提出“发展学生的数学应用意识”。这是因为数学的应用越来越广泛, 正在不断地渗透到社会生活的方方面面。正是基于社会对数学的需求。高考作为培养未来人才的选拔性考试, 应当面对社会现实。这个深层次的原因, 使得高考强调、重视数学应用。在某些试题中, 突出实际背景, 成为高考题的亮点。例 (2011年江西文16、2010年浙江卷理19) 。

五、加大了对统计型应用题的考查力度

现代社会是信息化的社会, 人们必须具有一定的收集和分析数据, 并做出合理决策的能力。统计是研究如何合理收集、整理、分析数据的学科, 它可以为人们制定决策提供依据。因此, 统计的基础知识已经成为一个未来公民的必备常识, 也成为高考中数学应用题的一个重要载体。统计内容的考查更能体现数学的应用性功能。近年来在全国 (区) 高考卷中均已出现, 2010年、2011年, 课标卷尤其突出地加大了对统计型应用题的考查力度 (无论是题量、分值, 还是难度、广度) 。

六、阅读量加大, 加强对阅读理解能力的考查

阅读理解能力是人终生学习必备的基本能力, 也是三基的重要组成部分, 高考为了学生的发展, 为了对高中教学有效的引导, 近年试题的阅读量加大。数学阅读理解能力主要是对数学语言, 包括文字语言、图形语言、符号语言、图表语言的阅读理解能力和文字表达能力。高考要求考生读懂、看懂材料的陈述, 正确提取、加工题目给出的信息, 分析解决问题的思路, 对阅读能力有较高的要求。例 (2010年北京卷) 边长为1的正方形PABC (点P在Y轴正半轴上, 点A在X轴正半轴上, B、C在第一象限) 沿x轴滚动。设顶点p (x, y) 的轨迹方程是y=f (x) , 则f (x) 的最小正周期为;y=f (x) 在其两个相邻零点间的图像与x轴所围区域的面积为。

七、注重考生的基本活动经验的考查

在《义务教育数学课程标准》和《高中数学课程标准》中, 反复强调“过程是目标”, 数学学习是个累积的过程, 学生在学习过程中, 需要养成独立思考、积极探索的习惯。高中数学课程应力求通过各种不同形式的自主学习、探究活动, 让学生体验数学发现和创造的历程, 积累数学活动经验, 包括解题经验。例如 (2010年广东理8)

八、选修系列已经进入高考

系列4:由10个专题组成, 已有以下四个专题进入高考, 是它们是:选修4-1:几何证明选讲。选修4-2:矩阵与变换。

选修4-4:坐标系与参数方程。选修4-5:不等式选讲。

北京:现在只要求系列4中的选修4-1:几何证明选讲和选修4-4:坐标系与参数方程, 而且只在选择题、填空题中考查;而2010年的全国卷和辽宁卷是从选修4-1、4-4、4-5这三个专题中三选一, 而且考查的是解答题;福建卷是从选修4-2、4-4、4-5这三个专题中三选一, 考查的也是解答题。江苏卷考查的力度最大, 从选修4-1、4-2、4-4、4-5这四个专题中四选二, 考查的也是解答题。其它进入新课标的省如:广东、天津、安徽、湖南、陕西等也都是以选择题和填空题形式进行了考查。

摘要:根据普通高等学校对新生文化素质的要求, 依据中华人民共和国教育部2003年颁布的《普通高中课程方案 (实验) 》和《普通高中数学课程标准 (实验) 》, 其高考数学科考试内容为:必修课程、选修课程系列2和系列4的内容, 按照“考查基础知识的同时, 注重考查能力”的原则, 确立以能力立意命题的指导思想, 将知识、能力和素质融为一体, 全面检测考生的数学素养。同时发挥数学作为主要基础学科的作用, 考查考生对中学的基础知识、基本技能的掌握程度, 考查对数学思想方法和数学本质的理解水平, 考查进入高等学校继续学习的潜能。

关键词:基础知识,能力考查,应用创新

参考文献

中华人民共和国教育部《普通高中数学课程标准》北京:人民教育出版社, 2003.

数学新课标试题 篇3

一、知识百花园。(每空1分,共25分)

1.A是一个不等于0的自然数,它的最大因数是(),最小倍数是()。

2.在0.4、1、5、、20、51这几个数中,( )是整数,( )是奇数,( )是偶数,()是质数,( )是合数。

3.==( )€?6=()(小数)。

4. 0.97立方米=( )立方分米2时=()分

5kg200g=( )g 3.25L=()mL

5. 1里面有( )个 ,再添上( )个 就是最小的质数。

6.按小动物身上的编号,给它们从大到小排排队。

()>()>()>( )>( )

7.一个长方体形状的金鱼缸,长是8分米,宽是5分米,高是6分米,前面的玻璃不小心被打破了,修理时配上的玻璃的面积是( )。

8.一个正方体的棱长总和是48厘米,它的表面积是( )平方厘米,体积是( )立方厘米。

9.把一个长是120厘米,宽是20厘米,高是60厘米的长方体锯成最大的正方体,且锯后无剩余,最多可以锯成()个。

二、快乐选择A、B、C。(每小题3分,共15分)

1.如果a和b的最大公约数是1,那么它们的最小公倍数是()。

A.a B.bC.ab

2.正方体的棱长扩大到原来的2倍,它的体积扩大到原来的( )倍。

A.2 B.4 C.8

3. 的分子加上12,要使分数的大小不变,分母应( )。

A.加上28B.扩大到原来的4倍C.加上12

4.下图中阴影三角形的面积占大正方形面积的( )。

A.B. C.

5.下面四句话中,正确的一句话是( )。

A.偶数都是合数。

B.甲数是乙数的倍数,甲数一定是合数。

C.表面积相等的两个正方体,体积也一定相等。

D.分数的分子和分母同时加上或减去一个相同的数(0除外),分数的大小不变。

三、小小会计师。

1.直接写出得数。(3分)

-=2+= 10.5-5=

2-= -=3€?=

2.选择合适的方法计算。(8分)

+ -+++

1 -(+)4.52++5.48+2

四、生活中的统计。(共10分)

下面是百家福电器商场2006年12个月销售空调和电视机的统计图

1.空调和电视机在8月份的销售数量相差多少?(2分)

2.哪个月两种电器的销售量最接近?(2分)

3.空调和电视机的销售情况有什么特点?试分析形成特点的原因。(6分)

五、动手实践乐趣多。(共14分)

1.现提供以下材料:足量的水、一个标准的长方体容器、一个碗。你能通过操作,求出碗的容积吗?说说你的操作过程。(4分)

2.请在这个长方体里面截出一个最大的正方体。再算一算剩下部分的体积。(4分)

4.按要求画出图形。(6分)

(1)画出下面左图的对称图形。

(2)将右面的图形绕中间的圆的圆心旋转画出花朵。

六、解决问题。(每小题5分,共25分)

1.请你在三位数7□5中填上适当的数字,使得到的三位数同时是3和5的倍数,你能想出多少种填法?

2.一种洗菜池长60厘米,宽30厘米,高25厘米,这种洗菜池最多可盛水多少升?出厂前要在它的内部四周和底面贴上保护胶带,每个洗菜池至少需要贴多少平方厘米的胶带?

3. 足球场长90米,宽45米;篮球场长26米,宽14米。篮球场的面积是足球场面积的几分之几?

4.卡卡茜画一幅画,构思用了小时,画草图用了小时,着色用了小时,她画这幅画共用了多少小时?也就是多少分?

5.小兔子分萝卜,每5个一堆多一个,每6个一堆还是多一个,小兔子至少有多少个萝卜呢?

数学新课标试题 篇4

一、基础训练

1、给小昆虫排队。

(1)、一共有只昆虫。

(2)、从左边数,是第()个。

(3)、从右边数,是第()个。

(4)、把左边4个小昆虫圈起来。

二、能力提升

1、

第1个里有3个,有4个的是第()个,第3个有()个,

有5个的是第()个,有2个的.是第()个。

2、涂一涂,填一填。

(左)(右)

把左边的3个涂上红色;把右边的5个涂上绿色;给从左边数排第5的涂上黄色。

三、思维拓展

1、小军在白纸上画了5个圆形,如果他画的三角形要比圆形多,那么三角形至少要画()个。

2、盒子里有5个中秋月饼,小红吃的月饼比5个少,小红最多已经吃了( )个月饼。

数学新课标试题 篇5

命题人:

一、单选题(注释)

1、把一个15°的角放在10倍放大镜下观察,角的度数将

[

]

A.不变B.变大C.变小

答案、A

解析、略

2、用一副三角尺能拼出一个□的角.□内应填

[

]

A.100°B.160°C.110°D.105°

答案、D

解析、略3、4时半时针和分针所成的角是[

]

A.锐角B.直角C.钝角D.平角

答案、A

解析、略

4、将一张方纸如图折叠,那么∠1=[

]

A.20°

B.25°

C.30°

答案、C

解析、略

5、时针和分针在□整,夹角是120°。□内应填[

]

A.3时

B.4时

C.6时

答案、B

解析、略

6、将一张方纸如下图折叠,那么∠1=[

]

A.B

C.

答案、C

解析、略

7、如下图,∠1

=45°,∠2=□。□内应填[

]

A.45°

B.54°

C.36°

答案、A

解析、略

8、下图中的时针与分针所成的角属于锐角的是[

]

A.B.C.答案、C

解析、略

9、将一张长方形的纸片的一个角对折,如图,则∠l是

[

]

A.45°

B.60°

C.90°

答案、A

解析、略10、92°的角是[

]

A.锐角B.直角C.钝角D.平角

答案、C

解析、略

11、两条直线相交,如果有一个角是钝角,那么另一组对角是[

]A.钝角B.锐角C.直角

答案、B

解析、略

12.6点整时,钟面上时针和分针所组成的是()

A.60°B.90°C.180°

答案、由分析可知:6点整时,钟面上时针和分针所组成的是180°.故选:C.

解析、略

13.从3:00走到3:15,分针转动了()度.

A.15B.60C.90D.120E.180

答案、15×6=90(度),故选:C.

解析、略

14.把一张圆形纸对折3次后展开,可以得到()的角.

A.30°B.45°C.60°D.90°

E、180°

答案、把一张圆形纸对折3次后展开,可以得到45度的角.故选:B.

解析、略

15.把半圆平均分成180份,每一份所对的角的度数是()

A.10B.1C.18

答案、把半圆分成180等份,每一份所对的角的大小是1度角,记作:1°.故选:B.

解析、略

16.量角的大小,要用()

A.三角板B.量角器C.计数尺D.直尺

答案、因为测量角的工具是量角器.故选:B.

解析、略

17.一个等腰三角形的顶角是100度,底角是()度.

A.45°B.50°C.40°

答案、因为顶角等于100°,所以一个底角为(180°-100°)÷2=40°.故选:C.

解析、略

18.用两块三角板不能拼出的度数是[

]

A.180°B.85°C.105°

答案、B

解析、略

19.把一个15°的角放在10倍放大镜下观察,角的度数将

[

]

A.不变B.变大C.变小

答案、A

数学新课标试题 篇6

小博士提示:要记住把商的小数点和被除数的小数点对齐。

教材连线:

1、口算。

23.6÷10=10÷4=3÷6=0.36÷3=

8.4÷2=0.05×40=40÷50=5.7+13=6.6÷33=

2、填空。

(1)下面各题的商哪些是小于1的在()里面“√”

3.6÷2()15.87÷20()7.98÷8()4.95÷11()

(2)()×15=7.5()×8=9040.5÷()=1

5(3)60时=()日84分=()时

3、下面的计算对吗?如果不对,错在哪里?并请改正。

27÷18=15()1.56÷26=0.6()

518270.6

18261.56

40改正:1.56改正:

4004、计算下面各题。

(1)6÷24(2)52.95÷75(3)84.01÷31(用乘法验算)

智能升级:

1、根据25×5=125,直接写出下列各题得数。

2.5×5=()125÷5=()12.5÷25=()

1.25÷5=()0.125÷5=()1250÷5=()

2、确定下列各式商的最高位是什么位?然后列式计算。

4.95÷113.01÷7280.8÷240.646÷193、列式计算下面各题。

(1)一个数的5倍是11.5,这个数是多少?

(2)两个数的积是15.36,其中的一个因数是12,另一个数是多少?

4、两个筑路队,甲队8天修路6.48千米,乙队9天修路10.35千米,先说说哪个队的工作效率高些,再计算一下你说的对不对。

智力:

数学新课标试题 篇7

第一部分 听力 (共两节, 满分30分) (略)

第二部分 英语知识运用 (共两节, 满分45分)

第一节 单项填空 (共15小题;每小题1分, 满分15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。

21. — I'm sorry. I didn't catch that, Mr. Green.— ______

A. Run faster, and you will catch that.

B. Can't you keep up with that?

C. Shall I repeat it?

D. Shall I tell that to slow down?

22. At one time in ______ history, all this land belonged to the king, but this is ______ history now.

A. the; the B. a; a

C. a; the D. 不填; 不填

23. — I hear Peter and Linda were parted from each other last month.

— Nothing astonishing. Faults are thick ______ love is thin.

A. where B. which

C. who's D. what

24. — How long are you going to stay in the country?

— It's hard to say. ______.

A. I don't want to go there

B. It all depends

C. It doesn't matter

D. That's nothing

25. — Was the manager angry with you when he saw you playing computer games in office hours?

— No, he was not angry at all ______ I was doing, but said, “Go back where you were.”

A. what B. that

C. which D. when

26. — Who do you think is fit for the position, Mr. Smith or Mr. Reed?

— ______. ______ of them has little experience in dealing with company affairs.

A. Neither; Either B. Either; Neither

C. None; All D. All; None

27. — It is reported that the badly wounded policeman has been saved.

— Yes. He would have died ______ for the first aid.

A. if it were not

B. if it should not have been

C. had it not been

D. had not it been

28. — What did the shopkeeper say when you said the sweater was too expensive?

— She said the sweater of this kind in other shops might be cheaper but ______.

A. not so better B. too worse

C. not good as D. not as good

29. The old woman sat alone in the room, in which there wasn't much furniture, eyes ______ on the opposite wall.

A. fixed B. fixing

C. had been fixed D. were fixing

30. — Your silence on recent events surprises me.

— I think it's better ______ too little than say too much.

A. say B. to say

C. saying D. to be saying

31. ______ the green hills are there, one need not worry about firewood.

A. No longer that B. So long that

C. Unless D. As long as

32. Knowing there was no water in the desert, ______ before leaving for the destination.

A. much water was carried by his camel

B. he had much water carry on his camel's back

C. much water was let to carry by his camel

D. he had his camel carry much water on its back

33. — Do you know anything about the twins, Jane and Mary?

— Yes, but only a little. Jane is ______ beautiful of the two sisters.

A. the most B. most

C. the more D. more

34. All parts of the house ______ one of the windows were still in good condition.

A. other than B. rather than

C. less than D. more than

35. — Has your daughter finished writing the composition?

— Sorry, I don't know, but I do know that she ______ it early this morning.

A. had written B. has written

C. was writing D. had finished writing

第二节 完形填空 (共20小题;每小题l.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。

Two minds with a single thought!

The young fisherman is thinking of a way to cross the stream without getting his 36 wet. The engineer is thinking of a 37 to get automobiles across the river without getting their wheels wet. You know the answer to 38 problems: a bridge.

The fisherman's bridge doesn't take 39 to build. Just place a board across the little stream and you 40 . If the board is strong enough and if the fisherman doesn't 41 too much, all will be well.

Will the engineer 42 the same kind of bridge? You know he 43 , and you know why. Automobiles are much heavier than 44 . The river is much 45 than the stream. A long wood bridge just won't 46 . It isn't strong enough. It would 47 , and break under its own weight. The fisherman's problem is very 48 . However, the engineer's is not.

But don't 49 sorry for the engineer. He doesn't have to 50 the very beginning with a long board. People have been thinking about bridges for thousands of years. They have designed many types of bridges. Each bridge is suited to its special 51 . The engineer can choose the type best suited to the river and the 52 nearby.

What choice does he have, and why is one 53 than the others? One way for you to find out is to make a few bridges out of cardboard. They won't be strong enough to 54 a five-ton truck, but you will find out some of the main 55 of bridge design by doing some experiments.

36. A. clothes B. socks

C. legs D. feet

37. A. road B. route

C. way D. course

38. A. all B. both

C. none D. neither

39. A. long B. easy

C. money D. strength

40. A. have it B. find it

C. try it D. see it

41. A. want B. work hard

C. care for it D. weigh

42. A. promote B. permit

C. plan D. profit

43. A. will B. won't

C. can D. cannot

44. A. cars B. trucks

C. animals D. people

45. A. wider B. deeper

C. more shallow D. more popular

46. A. do B. make

C. pass D. arise

47. A. breakout B. bring up

C. bend D. burst

48. A. similar B. simple

C. single D. skilful

49. A. believe B. think

C. feel D. realize

50. A. deal with B. do with

C. end with D. start from

51. A. types B. purpose

C. shapes D. results

52. A. land B. lake

C. mountain D. area

53. A. longer B. cheaper

C. more expensive D. more suitable

54. A. convey B. calculate

C. carry D. classify

55. A. usage B. ideas

C. attempts D. factor

第三部分 阅读理解 (共20小题;每小题2分, 满分40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。

A

The custom of celebrating the moon can be followed back as far as the Xia and Shang dynasties. In ancient China, the day was considered a harvest festival since fruits, vegetables and grain had been collected from the fields. It was a day for relaxation and celebration. The moon and moon cakes also showed that it was a time for family reunion.

“Though miles apart, could men but live forever dreaming they shared this moonlight endlessly!” wrote Song Dynasty poet Su Shi in his well-known poem.

But nowadays, people don't care as much about the Mid-Autumn Festival. It is less common to sit and enjoy the bright silver moon, particularly in some big cities, where pollution is so bad that people might not even be able to see the moon!

However, even without big celebrations, sending best wishes to family and friends is still important. But this also shows the modern age. More and more young people prefer to send their best wishes by text messages. It's very convenient and cheap.

56. The best meaning of the underlined sentence is “______ so as to share the beauty of this graceful moonlight, even though miles apart.”

A. We look up into the sky

B. We raise our glasses

C. We wish each other a long life

D. We miss each other for a long time

57. Using mobile phones to send messages of best wishes to family and friends shows ______.

A. the present time

B. big and important celebrations

C. young people have not much money

D. everything is very convenient now

58. The Mid-Autumn Day was a day for ______.

A. having a rest

B. celebrating harvest

C. family reunion

D. all of the above

59. When the Mid-Autumn Festival draws near, ______.

A. people are buying more and more moon cakes

B. all the fruits, vegetables and grain are being collected

C. the moon is gradually becoming rounder and brighter

D. people don't care about it as much as before

B

Your friends might be in Australia or maybe just down the road, but they are all just a few clicks away. Life has changed for millions of teenagers across the world who now make friends online. Whether you use chat rooms, QQ, MSN or ICQ, you are part of a virtual community.

“I rarely talk with my parents or grandparents, but I talk a lot with my old friends on QQ, ” said Fox's Shadow, the online nickname used by a Senior 2 girl in China. “Eighty percent of my classmates use QQ after school.”

QQ is the biggest messaging service in China. A record 4 million people used it one Saturday night in October, according to Tencent (腾讯公司) , the company which developed QQ.

And Fox's Shadow might well have been one of them. “I log in on Friday nights, and Saturdays or Sundays when I feel bored. I usually spend about 10 hours chatting online every week, ” she said. “But I rarely talk with strangers, especially boys or men.”

Even though she likes chatting, she is careful about making friends with strangers online. “You don't know who you're talking to. You should always be careful about who you trust online.”

60. According to Tencent, about four million people ______ one Saturday night in October.

A. enjoyed themselves on QQ

B. developed QQ

C. talked about QQ

D. made friends on QQ

61. Which of the following is NOT true according to the passage?

A. Perhaps the person you are chatting with lives just next door to you.

B. Maybe the person you are talking with online is an oversea one.

C. No people online know the opposite's real name or real address.

D. Four fifths of Fox's Shadow's classmates use QQ in their spare time.

62. Fox's Shadow, according to the passage, is a ______ online nickname.

A. a boy's

B. a girl's

C. a QQ worker's

D. mid-aged person's

63. When you are chatting online, ______ who is talking to you.

A. never believe everyone

B. never trust anyone

C. don't make friends with the one

D. don't talk too long with the one

C

64. Those who are ______ can't go dancing in Ricky's Disco.

A. over 20 B. at the age of 40

C. under 18 D. 30 years old

65. When you have lunch in Karma, ______ will serve you at the table.

A. a waiter B. a waitress

C. someone D. no one

66. ______ will tell you the detailed information about the basketball match.

A. RICKY B. Alan Brown

C. Paul Burton D. KARMA

67. Which of the four is true according to the second ad?

A. You can hear music in the RICKY'S every day.

B. The RICKY'S opens late at night on Saturday.

C. You can go to dance in the RICKY'S every day.

D. There are colored lights moving in shifting patterns in the RICKY'S.

D

Long, long ago in a small, faraway village, there was a place known as the House of 1 000 Mirrors. A small, happy little dog learned of this place and decided to visit it. When he arrived, he bounced (蹦蹦跳跳) happily up the stairs to the doorway of the house. He looked through the doorway with his ears lifted high and his tail wagging as fast as it could. To his great surprise, he found himself staring at 1 000 other happy little dogs with their tails wagging just as fast as his. He smiled a great smile, and was answered with 1 000 great smiles just as warm and friendly. As he left the House, he thought to himself, “This is a wonderful place. I will come back and visit it.”

In this same village, another little dog, who was not quite as happy as the first one, decided to visit the house. He slowly climbed the stairs and hung his head low as he looked into the door. When he saw the 1 000 unfriendly looking dogs staring back at him, he growled (咆哮) at them and was horrified to see 1 000 little dogs growling back at him. As he left, he thought to himself, “That is a horrible place, and I will never go back there again.”

All the faces in the world are mirrors. What kind of reflections do you see in the faces of the people you meet?

68. Which title may be the best to attract readers according to the passage?

A. The Two Little Dogs

B. The House of 1 000 Mirrors

C. Faces and Mirrors

D. Mirrors and Reflections

69. One of the two little dogs thought ______.

A. the House was the last place he would go to visit again

B. the House was a wonderful place for him to visit once more

C. all the other dogs in the House were unfriendly to him

D. all the above

70. Which of the four statements is TRUE according to the passage?

A. There were altogether one thousand and one dogs in the House, including the first one.

B. There were altogether one thousand and one dogs in the House, the second one included.

C. There were no other dogs in the House when the first and the second little dog went in.

D. There were no other dogs in the village except the two ones coming into the House.

71. What does the underlined sentence in the last paragraph really mean?

A. Life is very much like a mirror.

B. One's happiness or sorrow is controlled by a mirror.

C. All the people in the world mind mirrors as well as their faces.

D. A mirror is very useful because everyone can look into it.

E

One day, a poor boy who was trying to pay his way through school by selling goods door to door found that he only had one dime (一角钱) left. He was hungry so he decided to beg for a meal at the next house.

However, he lost his nerve when a lovely young woman opened the door. Instead of a meal he asked for a drink of water. She thought he looked hungry so she brought him a large glass of milk. He drank it slowly, and then asked, “How much do I owe you?”

“You don't owe me anything, ” she replied. “Mother has taught me never to accept pay for a kindness.” He said, “Then I thank you from the bottom of my heart.” As Howard Kelly left that house, he not only felt stronger physically, but it also increased his faith in God and the human race. He was about to give up and quit before this point.

Years later the young woman became badly ill. The local doctors were baffled (束手无策) . They finally sent her to the big city, where specialists can be called in to study her rare disease. Dr. Howard Kelly, now famous was called in for the consultation. When he heard the name of the town she came from, a strange light filled his eyes. Immediately, he rose and went down through the hospital hall into her room.

Dressed in his doctor's gown, he went in to see her. He recognized her at once. He went back to the consultation room and determined to do his best to save her life. From that day on, he gave special attention to her case.

After a long struggle, the battle was won. Dr. Kelly requested the business office to pass the final bill to him for approval. He looked at it and then wrote something on the side. The bill was sent to her room. She was afraid to open it because she was positive that it would take the rest of her life to pay it off. Finally she looked, and the note on the side of the bill caught her attention. She read these words:

“Paid in full with a glass of milk.”

(Signed) Dr. Howard Kelly

Tears of joy flooded her eyes as she prayed silently: “Thank You, God. Your love has spread through human hearts and hands.”

72. The boy sold things door to door ______.

A. when he was on his way to school

B. to collect money for his schooling

C. to obtain money to buy some food

D. because he had only one dime left

73. Which of the four is the best title for this passage?

A. A Glass of Milk

B. A Kind Doctor

C. A Kind Girl

D. A successful Treatment

74. Which of the following is NOT true according to the passage?

A. The woman was very kind to the poor when she was young.

B. The woman's mother was also very kind to the others.

C. The boy became a doctor when he grew up years later.

D. Howard Kelly would have been dead without the glass of milk given.

75. From the passage we can infer that ______.

A. it would take the woman's rest life to pay off her bill

B. the woman's condition was not serious when she was sent to the hospital

C. it was Dr. Howard Kelly who succeeded in treating the woman

D. Dr. Howard Kelly did his best to help the ones who had saved his life

第Ⅱ卷

第四部分 写作 (共两节, 满分35分)

第一节 任务型读写 (共10小题;每小题1分, 满分10分)

阅读下面短文, 根据所读内容在表格中的空白处填入恰当的单词。

注意:每个空格只填一个单词。

Have you ever wondered why there are so many people polluting the earth? Have you ever said to yourself “Can I do anything to help improve the environment?” Have you ever thought about trying to help stop polluting the earth but never really did it? Well, here are some pretty easy and skillful ideas for that green-earth desire inside you.

◆ Turn off your computer. By leaving it on all day long you are creating more CO2. So turn it off when you don't use it.

◆ Ride your bike or share a car. Obviously, you are creating less CO2.

◆ Make a garden. Even simply grow some plants in your kitchen. It will help produce more oxygen while eating up some of that evil CO2.

◆ Buy local groceries. It creates less effect on the environment. Besides you're supporting your local farmers.

◆ Recycle. You had to see this one coming. But you have no idea how much you are helping the environment by simply reusing a water bottle instead of buying a huge pack at the store.

◆ Don't let the water flow while brushing. It saves you money and helps the water resource.

◆ Open the curtains. Natural light is much better and it will keep the energy usage down.

◆ Rechargeable batteries. You have no idea how much it takes to get rid of batteries. Do yourself a favor. Save some money and some energy.

第二节 书面表达 (满分25分)

有些同学会因为老师、家长或同学的误解而闷闷不乐, 有些同学会因为学习落后而忧心忡忡, 还有些同学会因为朋友不多而愁眉不展。请你就以上“问题”写一篇演讲稿, 在班上和同学们谈谈如何解决一些思想障碍。

词数:100~120。

参考答案与解析

第二部分 英语知识运用

第一节 单项填空

21. C 考查交际用语。此处catch的意思不是“赶上”, 也不是“抓住”, 而是“听懂、听清、听到”。

22. D 考查冠词。in history表示“在历史上”, be history表示“成为了历史”, 两个history前均不用冠词。

23. A 考查从句。where love is thin是状语从句。本句属谚语, 意思是:一朝情谊淡, 样样不顺眼。

24. B 考查口语句型。It all depends. (或It depends./That depends.) 的意思是“那要看情况而定。”

25. B 考查从句。本题易把not…at all误认为是“一点也不”。其实, all是先行词, that I was doing是定语从句。

26. A 考查代词。从little experience可以看出, 这两个人都不适合担任这个职务。因此, 第一个空填Neither表示“两个都不适合”;第二个空填Either, 表示“两个中任何一个在处理公司事务上都没多少经验”。

27. C 考查虚拟语气。本句属与过去事实相反的虚拟语气句式, had it not been for the first aid是条件状语从句, 是if it had not been for the first aid的倒装式表达法。

28. D 考查省略句。but not as good属省略表示法, 完整的表达是but it might not be as good as the one in my shop。

29. A 考查独立主格结构。“注视某物”的主动形式是fix one's eyes on…, 用独立主格结构表达时, 要说eyes fixed on…。

30. B 考查不定式。had better后接不带to的不定式, 但be better后要接带to的不定式。

31. D 考查连词。本句意思是“留得青山在, 不怕没柴烧”。as long as引导条件状语从句, 意思是“如果、只要…… (就……) ”。

32. D 考查分词。分词或分词短语的逻辑主语通常就是句子的主语。本题Knowing there was no water in the desert的逻辑主语不可能是water, 因此排除A、C, 再分析句子结构只能选填D项, 表示“他让骆驼驮了许多水”。

33. C 考查比较级。比较范围是of the two时, 比较级要与the连用。

34. A 考查词语辨析。other than的意思是“除了”。句意是:除了其中一扇窗子外, 这房子的其他状况都依然良好。

35. C 考查时态。根据“不知写完没有”判断, 她今天一大早“正在写作文”, 因此是过去进行时。

第二节 完形填空

【主旨大意】

渔夫为了过河需要建桥, 工程师为了让汽车过河也需要建桥。显而易见, 渔夫要建的桥很简单, 而工程师要建的桥却很复杂。他们建桥的各自思路是什么呢?

36. D 渔夫想过河而不湿“脚”。

37. C 工程师在考虑使汽车过河的“方法”。

38. B 指上文提到的解决不湿脚和不湿车轮这“两个”难题。

39. A 此处long表示long time的概念。

40. A 此处have it属固定结构, 意思是“有了, 成了, 解决了”。

41. D doesn't weigh too much指“身体没多大重量”。

42. C 此处plan与design同义。

43. B 根据常识推理:工程师是“不会”设计像渔夫所搭的那种木板桥的。

44. D 根据上文, 这里的意思是:汽车比“人”重得多。

45. A 根据常识推理:江河要比小溪“宽得多”。

46. A 此处won't do表示“行不通”。

47. C 根据常识推理:太长的木板桥会因为自身重量而“弯曲, 折断”。

48. B 渔夫要解决的问题“很简单”。

49. C feel sorry for属固定搭配, 意思是“为……感到难过”。

50. D start from表示“以……开始”。

51. B 建造每座桥都有其特殊的“目的”。

52. A 根据常识推理:桥梁必须依据适合江河和“地形”而设计。

53. D 指一座桥比另外一些桥“更适用”。

54. C 此处carry表示“承载”。

55. B 指桥梁设计的主要“思路”。

第三部分 阅读理解

A

【主旨大意】

中秋节是我国的传统佳节, 它的来历源远流长。虽然古今中国人庆祝中秋节的意义和方式有了很大变化, 但“吃月饼、赏明月”的习俗和“但愿人长久, 千里共婵娟”的良好祝愿一直延续至今。

56. C 这句话的意思是“但愿人长久, 千里共婵娟。”

57. A 根据最后一段中的shows the modern age和by text messages等确定。

58. D 根据第二段中的for relaxation and celebration和for family reunion确定。

59. C 依据第一段中的With the moon getting rounder and brighter day by day推断。

B

【主旨大意】

网上聊天是一种方便快捷的交流方式。尤其是年轻人, 酷爱上QQ与人聊天、交朋结友。值得注意的是, 如果是在网上交朋结友则需特别小心, 谨防上当受骗。

60. A 根据第三段中的A record 4 million people used it one Saturday night in October确定。

61. C 事实上, 并不是所有上网的人都不知道对方的真实姓名或地址。

62. B 根据第二段中的the online nickname used by a Senior 2 girl确定。

63. A 意思是:你上网聊天时, 不要什么人的话都相信。

C

【主旨大意】 (略)

64. C 根据第二则广告中的Over 18s only确定。

65. D 根据第三则广告中的Self-service确定。

66. C 根据第一则广告中的For detailed information see Paul Burton确定。

67. B 根据第二则广告的内容确定。

D

【主旨大意】

两条不同心态的狗走进“千镜屋”后, 一条狗认为“千镜屋”是个好地方, 愿意再去, 而另一条狗则认为“千镜屋”是个讨厌的地方, 再也不想到那里去了。这是为什么呢?我们当切记:生活犹如一面镜子, 你哭它也哭, 你笑它也笑。

68. B 从短文的意思以及吸引读者阅读的角度看, 以“千镜屋”作为标题最为合适。

69. D 一条狗认为“千镜屋”里的其他狗对他不友好, 再也不想到那里去了;另一条狗则认为“千镜屋”是个好地方, 愿意再去。 (注意:A 项中the last place he would go to visit again的意思是“最不想再去的地方”。)

70. C 实际上, 那1000条狗都是一条狗在镜子中的反射。

71. A 本句的深层含义是:生活犹如一面镜子。

E

【主旨大意】

一个穷苦的小男孩挨饿之际, 一位年轻妇女无偿地给了他一杯牛奶。后来这个小男孩当了医生, 那位妇女生病住进了他的医院。这个医生不但为她精心诊治, 还替她付了所有的医疗费。“同情怜悯之心”和“知恩图报之举”都是人生美德。

72. B 根据第一段中pay his way through school by selling goods door to door的意思确定。

73. A 本文以“一杯牛奶”为主线, 介绍了一位妇女的“同情怜悯之心”和Kelly医生的“知恩图报之举”。

74. D 根据常识推理:Howard Kelly即使没有喝那杯牛奶也不一定就会死。

75. C 根据第五、六段中的determined to do his best to save her life和After a long struggle, the battle was won.推断。

第四部分 写作

第一节 任务型读写

76. protect/save 77. on/work

78. shorter 79. more

80. plants 81. transport

82. materials 83. tap

84. money 85. Using

第二节 书面表达

One possible version:

Dear classmates,

As we know, happy mood is very important for everyone. But I can see not everyone is always happy. Sometimes he or she may feel upset. So are you and so am I.

Then how can we always keep happy mood? In my opinion, first of all, we should be open-minded. When we are misunderstood by our teachers, parents or classmates, don't be upset. We can find a proper time to have a heart-to-heart talk with them, trying to remove the misunderstanding. When we find that we are behind others in our studies, don't lose heart or feel sad. We should encourage ourselves to work harder. If we think we have few friends, don't feel unhappy. We are sure to make more friends if we are friendly to others. In a word, we shouldn't let our hearts be troubled.

That's all. Thank you.

数学新课标试题 篇8

1以极值点定范围

此类试题是赋予极值点以一定的条件,通过对条件的数学表达而求得某字母的取值范围.

例1(新课标Ⅱ理科)设函数f(x)=3sinπxm.若存在f(x)的极值点x0满足x20+[f(x0)]2

A.(-∞,-6)∪(6,+∞)

B.(-∞,-4)∪(4,+∞)

C.(-∞,-2)∪(2,+∞)

D.(-∞,-1)∪(1,+∞)

图1分析如图1,f(x)的周期为2m,试题提供的式子x20+f(x0)2的几何模型可以是图1中Rt△OAB(也可以在紧挨原点的其它象限)斜边的平方,图中清晰知道:OB=m24+3,OA=m2符合题意,故不等式可翻译成m24+32,故选C.

抓住具有普遍性的图像模型快速实施突破是此类试题的特点.

2以零点定范围

此类试题将函数的零点与函数的单调性相联,再结合函数极值的情况控制零点个数,从而确定某字母的取值范围.

例2(新课标Ⅰ理科)已知函数f(x)=ax3-3x2+1,若f(x)存在唯一的零点x0,且x0>0,则a的取值范围是().

A.(2,+∞)B.(-∞,-2)

C.(1,+∞)D.(-∞,-1)

分析f′(x)=3ax2-6x=3ax(x-2a),选原点作为参照点讨论如下.①当2a<0时,有a<0.若x∈(-∞,2a),则f′(x)<0;若x∈(2a,0),则f′(x)>0;若x∈(0,+∞),则f′(x)<0.从而f(x)在(-∞,2a)上单调递减,在(2a,0)上单调递增,在(0,+∞)上单调递减,并且在x=2a取极小值,在x=0处取极大值,如图2,若要存在唯一零点x0且x0>0,则必须f(2a)=-4a2+1>0,注意到a<0,解得a<-2.作为单选选择题,此时已知答案为B.(-∞,-2),但作为对试题的深赜索隐,继续分析如下.

图2图3②当2a>0时,有a>0.若x∈(-∞,0),则f′(x)>0;若x∈(0,2a),则f′(x)<0;若x∈(2a,+∞),则f′(x)>0;根据单调性和极值,示意图3的曲线(1)和曲线(2)均不能满足:唯一零点x0且x0>0的条件.结合图像得启示:变换有关零点的限制条件可以求取a的不同取值范围.

以区间端点的变点与区间端点的定点进行比较,找到讨论的突破点是解答此类试题的妙法.

3以范围点确定范围

此类试题以某范围内的点的函数值设置限制条件,仍要借助函数的单调性解读限制条件,最终求出某字母的取值范围.

例3(新课标Ⅰ文科)设函数f(x)=alnx+1-a2x2-bx(a≠1),曲线y=f(x)在点(1,f(1))处的切线斜率为0.(1)求b;(2)若存在x0≥1,使得f(x0)

分析(1)b=1.(2)f(x)=alnx+1-a2x2-x(a≠1),故f′(x)=1-ax(x-a1-a)(x-1),(a≠1).这里有一个难点是讨论区间的确定.经探索发现从1-a的正负入手,脉理清晰易懂,试看:(Ⅰ)若1-a>0,则a<1.(ⅰ)由a1-a≤1知a≤12.此时,当x∈(1,+∞)时,f′(x)>0,即f(x)在(1,+∞)上单调递增.存在x0≥1使f(x0)1知a>12,又a<1,故120,在区间(1,a1-a)上,f′(x)<0,在区间(a1-a,+∞)上,f′(x)>0.从而在x1=1时取得极大值,在x2=a1-a取极小值.存在x0≥1使f(x0)aa-1,不合题意.(Ⅱ)若1-a<0,则a>1.(ⅰ)由a1-a≤1解得a≥12,此时在(1,+∞)上由f′(x)<0知f(x)单调递减,且f(1)=-a-121解得a<12,这与a>1矛盾.

综上所述,a的取值范围是:(-2-1,2-1)∪(1,+∞).

先确定含待求取值范围字母的系数的符号,再对区间端点变动情况进行讨论是解答此类试题的重要参考程序,思路自然流畅,不至于对试题的解答束手无策.

4以动点定范围

以图形上的动点设置限制条件,要求确定某字母的取值范围.此类题目常常需要定出极端点或极限点,以窥见结果.

例4(新课标Ⅱ理科)设点M(x0,1),若在圆O:x2+y2=1上存在点N,使得∠OMN=45°,则x0的取值范围是.

图4分析如图4,确定出满足题设条件的几个极端点M0、N0、M1使∠OM1N0=∠OM0N0=45°,仔细观察M、N的位置变化知:只有x0∈[-1,1]时才有∠OMN=45°的可能.适当利用图形使这道填空题轻松得解.

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