2010学年第一学期3AP33
2010学年高三年级第一次练习数学试卷文参考答案
嘉定区2010学年高三年级第一次质量调研数学试卷（文）参考答案与评分标准一．填空题（本大题满分56分）本大题共有14题，考生必须在答题纸相应编号的空格内直接填写结果，每个空格填对得4分，否则一律得零分．1．答案：1．因i a a ai i )1(1)1)(1(-++=-+是实数，所以=a 1．2．答案：]2,0[．由022≥-x x ，得022≤-x x ，所以]2,0[∈x ．3．答案：1．112+=a a ，314+=a a ，由已知得4122a a a =，即)3()1(1121+=+a a a ，解得11=a ． 4．答案：257-． 由532sin =⎪⎭⎫ ⎝⎛+θπ，得53cos =θ，所以2571cos 22cos 2-=-=θθ． 5．答案：2-． 解法一：函数x x f -=)(的反函数为21)(x x f =-（0≤x ），由4)(1=-x f 得42=x ，因为0<x ，故2-=x ．解法二：由4)(1=-x f ，得2)4(-==f x ． 6．答案：5arctan ．因为BC ∥AD ，所以BC D 1∠就是异面直线1BD 与AD 所成的角，连结C D 1，在直角三角形BC D 1中，0190=∠BCD ，1=BC ，51=C D ，所以5tan 11==∠BCC D BC D ． 7．答案：3π（或060）． 设a 与b 的夹角为θ，由2)(=+⋅b a a ，得22=⋅+b a a ，即2cos 21=+θ，21cos =θ． 8．答案：2．9)21(x -展开式的第3项为288)2(2293=-=x C T ，解得23=x ， 所以232132132lim 323232lim 111lim 22=-⎥⎥⎦⎤⎢⎢⎣⎡⎪⎭⎫ ⎝⎛-=⎥⎥⎦⎤⎢⎢⎣⎡⎪⎭⎫ ⎝⎛++⎪⎭⎫ ⎝⎛+=⎪⎭⎫ ⎝⎛+++∞→∞→∞→n n n n n n x x x ． 9．答案：1．三阶行列式x a x 1214532+中元素3的余子式为x a x x f 21)(+=，由0)(<x f 得022<-+ax x ，由题意得a b -=+-1，所以1=+b a ．10．答案：16．1=a ，满足3≤a ，于是4211==+b ；2=a ，满足3≤a ，8212==+b ；3=a ，满足3≤a ，则16213==+b ；4=a ，不满足3≤a ，则输出b ，16=b ．11．答案：21． 21210105)(3101337===C C C A P ． 12．答案：32π． 由题意，61cos 2>θ且21sin 2>θ，⎩⎨⎧==+2cos 34ab b a θ，⎪⎪⎩⎪⎪⎨⎧=⋅-=+2111sin 211a b a b θ， 所以θθsin 2cos 32-=，3tan -=θ，因⎪⎭⎫ ⎝⎛∈ππθ,2，32πθ=． 13．答案：1±．因为)(x f 是奇函数，所以0)()(=-+x f x f ，即0212212=⋅+-+⋅+---xxx x k k k k ， 0212212=+-⋅+⋅+-x x x x k k k k ，0)2)(21()12)(1(22=+⋅++-x x x k k k ，所以12=k ，1±=k ． 14．答案：100．])1[()1()1()1()1()1()(22221n n n n n f n f a n n n n -+-=+⋅-+⋅-=++=-， )12()1(+-=n n ，所以201)199(9)7(5)3(100321+-+++-++-=++++ a a a a 100502=⨯=．二．选择题（本大题满分20分）本大题共有4题，每题有且只有一个正确答案，考生必须在答题纸的相应编号上，将代表答案的小方格涂黑，选对得5分，否则一律得零分．15．C ．16．A ．17．D ．18．B ．15．因为A 、B 是三角形内角，所以A 、),0(π∈B ，在),0(π上，x y cos =是减函数．16．①错．不在同一直线上的三点才能确定一个平面；②错．四边相等的四边形也可以是空间四边形；③错．如果三棱锥的底面是等边三角形，一条侧棱垂直于底面且长度等于底面边长，则三个侧面都是等腰三角形；④错．若这两点是球的直径的两个端点，过这两点可作无数个大圆．17．作出函数x y 2=与2x y =，可发现两函数图像在第二象限有一个交点，在第一象限有两个交点（第一象限的两个交点是)4,2(和)16,4(）．18．若取1x 、2x 为区间]4,2[的两个`端点，则22)()(21=x f x f ． 若22>C ，取21=x ，2)(1=x f ，对任意]4,2[2∈x ，4)(2≤x f ，于是22)(2)()(221≤=x f x f x f ； 若22<C ，取41=x ，4)(1=x f ，对任意]4,2[2∈x ，2)(2≥x f ，于是 22)(4)()(221≥=x f x f x f ．所以22=C ．三．解答题（本大题满分74分）本大题共有5题，解答下列各题必须在答题纸相应编号的规定区域内写出必要的步骤．19．（本题满分12分） 解：设半圆的半径为r ，在△ABC 中，090=∠ACB ，030=∠ABC ，3=BC ，连结OM ，则AB OM ⊥，……（2分） 设r OM =，则r OB 2=，…………（4分）因为OB OC BC +=，所以r BC 3=， 即33=r ．………………（6分） 130tan 0=⋅=BC AC ．阴影部分绕直线BC 旋转一周所得旋转体为底面半径1=AC ，高3=BC 的圆锥中间挖掉一个半径33=r 的球．………………（8分） 所以，圆锥V V =球V -πππ27353334313132=⎪⎪⎭⎫ ⎝⎛⋅⋅-⋅⋅⋅=．…………（12分） 20．（本题满分14分）本题共有2个小题，第1小题满分6分，第2小题满分8分． 解：（1）由a ∥b 的充要条件知，存在非零实数λ，使得a b ⋅=λ，即⎩⎨⎧=⋅=λλx x cos sin 1，所以1cos sin =x x ，212sin =x ，…………（3分） 6)1(2ππ⋅-+=k k x ，Z k ∈． 所以x 的集合是⎭⎬⎫⎩⎨⎧∈⋅-+=Z k k x x k ,12)1(2ππ．………………（6分） （也可写成⎭⎬⎫⎩⎨⎧∈+=⎭⎬⎫⎩⎨⎧∈+=Z k k x x Z k k x x ,125,12ππππ ） （2）2)cos (sin 2cos sin )1(cos )1(sin ||)(22222++++=+++=+=x x x x x x b a x f3)cos (sin 2++=x x 34sin 22+⎪⎭⎫ ⎝⎛+=πx ，…………（9分） 因为⎥⎦⎤⎢⎣⎡-∈2,2ππx ，所以⎥⎦⎤⎢⎣⎡-∈+43,44πππx ，……（10分） 所以⎥⎦⎤⎢⎣⎡-∈⎪⎭⎫ ⎝⎛+1,224sin πx ，……………（12分） 所以函数)(x f 的值域为]223,1[+．………………（14分）21．（本题满分14分）本题共有2个小题，第1小题满分6分，第2小题满分8分． 解：（1）由已知，当0=x 时，8)(=x C ，即85=k ，所以40=k ，……（1分） 所以5340)(+=x x C ，…………（2分） 又加装隔热层的费用为x x C 6)(1=．所以5380066534020)()(20)(1++=++⨯=+⋅=x x x x x C x C x f ，…………（5分） )(x f 定义域为]10,0[．…………（6分）（2）10380062103538003563538006538006)(-⨯≥-⎪⎭⎫ ⎝⎛++⎪⎭⎫ ⎝⎛+=⎪⎭⎫ ⎝⎛++=++=x x x x x x x f 70=，…………（10分） 当且仅当⎪⎭⎫ ⎝⎛+=⎪⎭⎫ ⎝⎛+353800356x x ， 18800352=⎪⎭⎫ ⎝⎛+x ，32035=+x ，即5=x 时取等号．…………（13分） 所以当隔热层加装厚度为5厘米时，总费用)(x f 最小．最小总费用为70万元．…（14分）22．（本题满分16分）本题共有3个小题，第1小题满分3分，第2小题满分7分，第3小题满分6分．解：（1）1=m 时，1)(2+=x x f ，因为01=a ，所以1)0()(12===f a f a ，2)(23==a f a ，5)(34==a f a ．…………（3分，每求对一项得1分）（2）m x x f +=2)(，则m a =2，m m a +=23，m m m m m m m a +++=++=2342242)(，…………（5分）如果2a ，3a ，4a 成等差数列，则)()2(22342m m m m m m m m m +-+++=-+，02234=-+m m m ，……（6分）若0=m ，则0432===a a a ，不合题意，故0≠m ．所以，0122=-+m m ，所以21282±-=±-=m ．…………（8分） 当21+-=m 时，公差==-+=-=2223m m m m a a d 223-，…………（9分） 当21--=m 时，公差2232+==m d ．………………（10分）（3）11=b ，n n n b m m b b 22)(21=-+=+，…………（12分）所以}{n b 是首项为1，公比为2的等比数列，12-=n n b ，…………（13分） 201012>-=n n S ，20112>n ，10>n ．…………（15分）所以，使2010>n S 成立的最小正整数n 的值为11．…………（16分）23．（本题满分18分）本题共有3个小题，第1小题满分5分，第2小题满分6分，第3小题满分7分．23．解：（1）设),(y x P 为图像2C 上任意一点，P 关于点A 对称的点为),(y x P '''，则12='+x x ，22='+y y ，于是x x -='2，y y -='4，…………（2分） 因为),(y x P '''在1C 上，所以x a x y '+'='，即x a x y -+-=-224，22-++=x a x y ．所以22)(-++=x a x x g ．…………（5分） （2）由a x g =)(得a x a x =-++22，整理得0)43(2=-+-a ax x ① ………（7分） 若2=x 是方程①的解，则0=a ，此时方程①有两个实数解2=x 和2-=x ，原方程有且仅有一个实数解2-=x ；…………（8分）若2=x 不是方程①的解，则由△016122=+-=a a ，解得526±=a ．……（9分）所以，当0=a 时，方程的解为2-=x ； …………（10分）当=a 526+时，方程的解为53+=x ； …………（11分） 当=a 526-时，方程的解为53-=x ． …………（12分）（3）设1x 、),2[2∞+∈x ，且21x x <，因为函数)(x f 在区间),2[∞+上是增函数，所以0)()(12>-x f x f ．……（14分） 0)()()()(212112212112112212>-⋅-=-+-=--+=-x x a x x x x x x x x a x x x a x x a x x f x f ， 因为012>-x x ，021>x x ，所以021>-a x x ，即21x x a <，…………（16分） 而421>x x ，所以4≤a ． …………（17分）因此a 的取值范围是]4,(-∞．…………（18分）。
2010年3月公共英语三级pets3试题及答案解析
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中山市2009-2010学年度高三级第一学期期末统一考试试卷
广东省中山市2010届高三第一学期期末统一考试语文试卷一、本大题4小题，每小题3分，共12分。
1．下列各组词语中加点的字读音完全相同的一组是（）A．中流/中肯感喟/匮乏遒劲/集腋成裘B．漂白/漂洗角色/角斗屏除/屏气凝神C．祈祷/颀长梦魇/笑靥歆羡/万马齐喑D．拮据/狡黠辟邪/辟谣洗濯/擢发难数2．下面语段中画线的词语，使用不恰当的一项是（）创业板刚刚揭开面纱，暴富神话就开始演绎，而且，高潮迭起，令人眼花缭乱、目不暇接。
以目前的创业板市场来看，财富不是无中生有，而是源于某种资产与成本的“转移”。
对于创业板的发展而言，暴富神话可能使创业者丧失斗志，转而以投机和欺骗，以渡过套现日为主要目的，从而与创业板设立的初衷大相径庭。
随着越来越多的人这样做，创业板市场可能成为骗子粉墨登场、实现瞬间暴富的摇篮。
A．眼花缭乱 B．目不暇接 C．大相径庭 D．粉墨登场3．下列句子中，没有语病的一项是（）A．2009国庆阅兵直播在各地34辆彩车通过天安门广场中心区时，天安门广场上将展开一幅面积近2万平方米左右的《江山如此多娇》的巨型国画。
B．过度劳累为何引起健康透支？有关专家认为，最严重的问题不是加班，而是巨大的压力导致休息时间也无法彻底放松心情所致。
C．原香港中文大学校长、被誉为光纤之父的高锟教授获得2009年诺贝尔物理学奖，这一殊荣源自他在有关光在纤维中的传输以用于光学通信方面做出的突破性成就。
D．我国在2009年里再次出台促进农业发展的一系列激励政策、调控政策和财政政策，极大地激发和调动了广大农民的积极性。
4．依次填入下面一段文字横线处的语句，衔接最恰当的一组是（）从文化学和民俗学的角度看，一个民族的情感与精神是要以一系列特定的方式作为载体的。
这种方式就是民俗。
，，。
，。
从这个意义上说，民俗是固定的，严格的，不能随心所欲的删改与添加。
①虽然在民俗的传衍中也会发生变异②否则，很难成为民俗的内容③是共同遵循的文化规范与仪式④民俗不是政令法律⑤但这种变异一定要经过长时间的接受过程而最终被共同认可⑥但它是经过一代代认同、接受和传承下来的A．①⑤②④⑥③ B．①⑤④⑥③② C．④③①②⑥⑤ D．④⑥③①⑤②二、本大题7小题，共35分。
2010年第三-五套
2010年学业水平考试第三套说明：以下30小题为单项选择题，每小题2.5分，共75分。
1. 关于信息，以下说法正确的是( )。
A 数码摄像机可以记录信息B 数码摄像机中的存储卡是种信息C 数码摄像机中的记录磁带是种信息D 数码摄像机是种信息2. 小华制作了本班同学的优秀作文集。
大家看到打印成册的作文集后，赞不绝口，纷纷猜测他使用了哪些信息技术。
以下猜测中，最可能错的是( )。
A 彩色喷墨打印机的效果真好，如果用彩色激光打印机，效果还会更好。
B 那些插图是用绘图仪从画报上扫描下来的C 小华用Photoshop对插图进行了处理，效果特别好D 小华在电脑中添加了很多字库，打印出来的汉字字体特别好看3. 有新闻说，上海市教育部门设想在全市中小学尝试使用电子书包，这条新闻引起社会热议。
关于对电子书包的预测，有可能实现的是( )①电子书包减少了纸张的使用，可能起到减少碳排放的效益②电子书包可以减少些同学对网吧的迷恋③使用电子书包后，将取消课堂教学④电子书包将对学生的课外学习提供更多的帮助A. ②③④B. ①③④C. ①②③D.①②④4. 关于信息数字化，以下说法正确的是( )A在计算机中，字符以二进制形式存储，声音以ASCLL码形式存储B在计算机中，字符以二进制形式存储，声音不以二进制形式存储C 在计算机中，声音以二进制形式存储，字符也以二进制形式存储D 在计算机中，声音以二进制形式存储，汉字不以二进制形式存储5. 二进制数11111转化为十进制数为( )。
A 31B 11111C 30D 636. 口口口口B是-个四位的二进制数（其尾部的B是二进制数的标识）。
以下表达式肯定不能成立的是( )。
①口口口口B > 16 ②口口口口B >= 16③口口口口B< 16 ④口口口口B<=16A ①②B ①③C ①④D ②④7. 已知英文字母W的ASCII码为二进制数1110111，则英文字母 u的ASCII码为( )。
2010～2011学年度第一学期期末教学质量检测三(七年级数学)
七年级数学期末教学质量检测三 第 1 页 共 2 页（图2）O CBACBA西南方向北偏西30︒北西南东2010～2011学年度第一学期期末教学质量检测三七年级数学试卷注意事项：1、本试卷分第Ⅰ卷（选择题）和第Ⅱ卷（非选择题）两部分。
2、本试卷总分120分，用时100分钟。
命题人：七年级数学组第I 卷(选择题 共30分)一、精心选一选：（每小题3分，共30分）在下列各题的四个备选答案中，只有一个是正确的，请把正确答案的代号写在题后的括号内。
1、5-的相反数是（ ）. A 、51-B 、51C 、5-D 、5 2、已知地球上的陆地面积约为149000000千米2，用科学记数法表示约为（ ）千米2。
A 、81049.1⨯ B 、91049.1⨯ C 、8109.14⨯D、9109.14⨯3、下列语句中正确的是（）.A 、有最小的负整数B 、-1是最小的自然数C 、绝对值最小的数是0D 、任何有理数都有倒数4、方程21123x x --=的解为（ ）.A 、-3B 、-4C 、-8D 、15、图1是一个正方体，用一个平面去截这个正方体截面形状不可能为下图中的（ ）.6、单项式2310a bπ-的系数和次数分别是（ ）.A 、310- 、 2B 、3210 、C 、3310π- 、D 、310π 、 37、某商店有两个进价不同的计算器都卖了64元，其中一个盈利60％，另一个亏损20％。
在这次买卖中，这家商店（ ）.A 、不赔不赚B 、赚了32元C 、赔了8元D 、赚了8元8、如果关于x 的方程350x +=与331x k +=的解相同，则k 等于（ ）.A 、－2B 、43 C 、2 D 、 43- 9、下列几何体，主视图、左视图、俯视图都一样的是（ ）. A 、圆柱 B 、圆锥 C 、棱柱 D 、球体10、一艘轮船行驶在B 处同时测得小岛A ，C 的方向分别为北偏西300和西南方向，则∠ABC的度数是（ ）.A 、1350B 、1150C 、1050D 、950第II 卷 (非选择题 共90分)二、细心填一填：（每小题3分，共24分）11、已知()2310x y -++=，则32x y -=_________。
2010学年第一学期高三年级三校联考英语试卷
2010学年第一学期高三年级三校联考英语试卷命题学校同济中学本试卷分第Ⅰ卷（选择题）和第Ⅱ卷（非选择题）两部分。
全卷满分120分，考试时间120分钟。
卷Ⅰ第一部分：英语知识运用（共两节，满分30分）第一节：单项填空（共20小题：每小题0.5分，满分10分）从A、B、C、D的四个选项中，选出可以填入空白处的最佳选项，并在答题纸上将该选项涂黑。
1. Shall we take ________ short break? I want to make ________ call.A. the；aB. a；theC. the；theD. a；a2. –You hate Jim, don’t you?-- ______. I just think he’s a bit annoying, that’s all.A. Not exactlyB. That’s itC. AbsolutelyD. No way3. ____ has recently been done to provide more buses for the people, a shortage ofpublic vehicles remains a serious problem.A. WhatB. Though whatC. In spite of whatD. However what4. –An ant has two stomachs – one for itself, one for others.--Really? Quite interesting. I ____ anything about it.A. don’t knowB. have knownC. haven’t knownD. didn’t know5. On hearing the news, the girl rushed out without hesitation, ____ the luggage____ on the floor and ____ in the dark.A. left, lied, disappearedB. leaving, lying, disappearedC. leaving, lie, disappearedD. left, lay, disappear6. By no means will she move to a new place far away from her workplace,because it isn’t ____ for her family and herself.A. availableB. convenientC. presentD. comfortable7. At first I thought I understood what my teacher said, but the more he explained, ______.A. the more I became confusedB. I became confused moreC. the more confused I becameD. the more confused did I become8. The place _____ the supermarket is supposed to be built should be ____ thepopulation is comparatively dense.A. which; whereB. in which; whichC. in which; whereD. which; in which9. Which sport has the most expenses ______ training equipment, players’ personalequipment and uniforms?A. in honour ofB. in terms ofC. in favour ofD. in case of10. –Why are you so late? – I got stuck in the traffic jam, or I ____ earlier.A. arrivedB. had arrivedC. would arriveD. would have arrived11. What really ____ is not failure itself, but the attitude we have towards it.A. mattersB. appliesC. stressesD. functions12. _____, a small advertisement held my attention, which read “Easy job. Goodwages. No experience necessary.”A. Looking through the newspaperB. While I was looking through the newspaperC. To look through the newspaperD. I was looking through the newspaper13. The young trees have been planted for a few days and should be ____; otherwisethey will die in such dry weather.A. watched outB. watched overC. looked outD. looked into14. –I hate talking with that guy. Look, he is coming. What should I do?--Don’t speak until _____.A. spoken toB. speakingC. spokenD. speaking to15. The student had rushed out of the classroom ____ the teacher could stop him.A. whenB. sinceC. beforeD. as16. The atmosphere created in Beijing Olympic Games was much stronger than____ of any previous Olympic Games.A. whichB. whatC. thatD. the one17. After the party I never met her, neither ________ from her.A. I heardB. heard IC. did I hearD. had I heard18. Going on a trip abroad _____ be expensive and difficult, so making a plan isnecessary.A. canB. mustC. shallD. ought to19. ____ that’s important is that you are doing your best and moving in the rightdirection.A. OneB. AllC. EverythingD. Anything20. –I’d rather have some coffee if you don’t mind. --________.A. SurelyB. Of course notC. Certainly I doD. Never mind第二节：完形填空（共20小题；每小题1分，满分20分）请认真阅读下面短文，从短文后各题所给的A、B、C、D四个选项中，选出最佳选项，并在答题卡上将该项涂黑。
2010年AAA英语试题
教育部考试中心2010 年1 月用2010 年五校合作自主选拔通用基础测试（英语）Section I ReadingPart ARead the following text. Choose the best word or phrase for each numbered blank. (30 points)Learning theorists emphasize the role of environmental influences in shaping the way a person develops. __1__ their view, child development is guided by both deliberate and __2__ learning experiences in the home, peer group, school, and community. Therefore, childhood growth is significantly __3__ by the efforts of parents, teachers, and others to __4__ children in desirable ways. According to learning theories, the same __5__ that explain how people can use a bicycle or computer also explain how children acquire social skills, emotional self-control, reasoning strategies, and the __6__ skills of walking and running.One kind of learning occurs when a child‟s actions are __7__ by a reward or punishment. A reward increases the probability that behavior will be repeated. For example, a young child may __8__ draw pictures because she receives praise from her parents after __9__ each one. A punishment decreases the probability that behavior will be repeated. For example, a child who touches a hot stove and burns his fingertips is not __10__ to touch the stove again.__11__ kind of learning, classical conditioning, occurs when a person makes a __12__ association between two events. For example, babies begin sucking when they are put in a familiar nursing __13__, children fear dogs whose barking has startled them in the past.A third kind of learning __14__ of imitating the behavior of others. A boy may acquire his father‟s __15__ of talking, his mother‟s tendency to roll her eyes, and his favorite basketball player‟s moves __16__ the court. In doing so, he also acquires __17__ about the consequences of these behaviors.Learning theories provide extremely useful ways of understanding how developmental changes in behavior and thinking __18__ and, for some children, why behavior problems arise. These theories can be studied scientifically and practically applied. Critics point out, __19__, that learning theorists sometimes neglect children‟s __20__ role in their own understanding and development.1. [A] For [B] From [C] In [D] With2. [A] unintended [B] uninvolved [C] undiscovered [D] unlimited3. [A] achieved [B] created [C] developed [D] shaped4. [A] moralize [B] recognize [C] socialize [D] standardize5. [A] considerations [B] instructions [C] principles [D] tendencies6. [A] physical [B] personal [C] original [D] technical7. [A] directed [B] followed [C] pursued [D] tracked8. [A] continuously [B] immediately [C] occasionally [D] regularly9. [A] completing [B] fulfilling [C] handling [D] obtaining10. [A] liable [B] likely [C] possible [D] ready11. [A] Another [B] Next [C] One [D] Other12. [A] emotional [B] intellectual [C] mental [D] spiritual13. [A] condition [B] location [C] position [D] situation14. [A] contains [B] consists [C] comprises [D] composes15. [A] custom [B] means [C] type [D] style16. [A] over [B] on [C] in [D] at17. [A] estimations [B] evaluations [C] explorations [D] expectations18. [A] appear [B] emerge [C] exist [D] occur19. [A] accordingly [B] however [C] moreover [D] therefore20. [A] active [B] dominant [C] positive [D] socialPart BIn the following article, some sentences or paragraphs have been removed. For questions 21 to 25, choose the most suitable one from the list A-F to fit into each of the numbered gaps. There is ONE which does not fit in any of the gaps. (15 points) Horror stories about the food industry have long been with us – ever since 1906, when Upton Sinclair‟s landmark novel The Jungle told some ug ly truths about how America produces its meat. In the century that followed, things got much better, and in some ways much worse. The U.S. agricultural industry can now produce unlimitedto the environment, animals and humans. Add to the price tag the acceleration of global warming –fossil fuels, more than any other sector of the economy.worst of all, our food is increasingly bad for us, even dangerous.A food system that generates cheap, filling food at the expense ofalso a major cause of America‟s widespread obesity. At a time when the nation is close to a civil war over health-care reform, obesity adds $147 billion a year to our doctor bills. “The way we farm now is destructive of the soil, the environment and us,” says Doug Gurian-Sherman, a senior scientist with the food andof like Eric Schlosser and Michael Pollan are repeating Sinclair‟s work, awakening a sleeping public to the uncomfortable real ities of how we eat. Change is also coming from the very top. First Lady Michelle Obama‟s White House garden has so far yielded more than 225 lb. of organic produce – and tons of powerful symbolism. 24. Sustainable food is also more expensive than conventional food and harder to find. And while large companies like General Mills have opened organic divisions, there is worry that the very definition of sustainability will be used by those companies only for their own good.But we can‟t afford to remain in p hilosophizing about food. With the exhaustion of the soil, the impact of global warming and the inevitably rising price of oil – whichwill affect everything from fertilizer to –our industrialstyle of food production will end sooner or Unless Americans farmland, emptied-out countryside, terrifying germs, higher health costs –and tasteless diet. Sustainable food has an élitist reputation, but each of us depends on the soil, animals and plants –and as every farmer knows, if you don‟t take care of your land, it can‟t take care of you.[A] Some Americans are paying attention to such warnings and working to transform the way the country eats –farmers who are raising sustainable food in ways that don‟t bankrupt the earth.[B] A series of recalls involving polluted foods this year –including a case of salmonella poisoning from tainted peanuts that killed at least eight people and sickened 600 – has consumers rightly worried about the safety of their meals.[C] But, despite increasing public awareness, sustainable agriculture remains a tiny enterprise: according to the most recent data from the U.S. Department of Agriculture, less than 1% of American cropland is farmed organically.[D] And when the rains come, the excess fertilizer that helped to take so much corn out of the ground will be washed into the Mississippi River and down into the Gulf of Mexico, where it will help kill fish for miles and miles around.[E] Those hidden prices are the gradual damage of our rich farmland, cages for egg-laying chickens so packed that the birds can‟t even raise their wings and the horrible rise of antibiotic-resistant bacteria among farm animals.[F] As the developing world grows richer, hundreds of millions of people will want to shift to the same calorie-heavy, protein-rich diet that has made Americans so unhealthy – demand for meat and poultry worldwide is set to rise 25% by 2015 but the earth can no longer deliver.Part C26. Read the following text and summarize it in Chinese. You should write approximately 200 characters. (20 points)Word travels quickly in the small fishing village of Port Washington, Wisconsin. So when Mardy McGarry wanted to build a playground for kids with special needs, she knew it wouldn‟t take long to create interest in the project. But she never expected that 2,800 people –a third of the town –would roll up their sleeves and use their vacation days to bring her vision to life.“A lot of learning comes through play,” says McGarry, 52, a special education teacher for 28 years. But her students were too often left out. She‟d seen the wood chips and sand of traditional playgrounds stop wheelchairs dead in their tracks. McGarry started researching play equipment and contacting design firms. When a piece of land became available, the city council agreed to give a portion for a playground if she would build it. McGarry asked classrooms of kids for their wish list. “They all said pirate ships,” she says. She also asked physical, occupational, and speech specialists for their input. And she brought on board her friend Sue Mayer, whose eight-year-old son, Sam, is disabled. “Neither of us is good at math, which is why $450,000 didn‟t sound like a lot of money,” McGarry says of the initial estimate.Her Kiwanis Club came through with $7,000, and that‟s when the grass-roots movement really got started. One woman gave $25,000 and had her company match it. Soon smaller businesses were joining in. Families bought wood blocks for the fence at $30 apiece. Bricks for the walkways went for $50 to $750 each. There were silent money-raising activities, T-shirt sales, a coin drive, and a run-walk-and-roll-a-thon. The local Pieper Family Foundation offered to donate half of the remaining $170,000 balance if McGarry could raise the rest.The $450,000 covered materials, but the actual construction would cost an additional $900,000. Out of the question. But the community could build it. The design firm they‟d selected, Leathers & Associates, had sent a 164-page how-to binder. All McGarry needed now was 500 volunteers to work six 12-hour days.On September 16, 2008, the first day of construction, they came. Two women heard about the project from a friend on the way to work and took the day off to help.A couple in their 80s manned the tool trailer. Ten-year-olds sanded surfaces and cleared up wood pieces.“It was truly an amazing week,” says McGarry. “The site looked like an anthill. S o many people can take ownership of this playground.”Only three “build captains,” sent by Leathers & Associates, were paid. V olunteers with “build experience” became coordinators, those who could operate power tools formed a separate group, and so on – d own to the “runners.” One team served meals donated from local restaurants and churches, and another organized activities for the children of volunteers.Today, Possibility Playground is one of the most popular destinations in Ozaukee County. The finished wonderland, the length of a football field, sits on a slope overlooking Lake Michigan. There‟s a giant rocking pirate ship, a lighthouse, a rock-climbing wall, high and low rings, monkey bars, palm drums, sandboxes, swings, slides, bridges, and slip roads.All children play shoulder to shoulder. “It‟s neat to see Tori fitting in,” says Charlene Landing of her five-year-old wheelchair-bound daughter. “Some playgrounds have special equipment in a different section. Here, you see all the kids on the same pl ayground having fun.”It‟s exactly what McGarry wished for. “People used to ask, …Why do you want to build a playground just for children with disabilities?‟” she says. “They didn‟t get it. It‟s only when you build a playground for children with disabilit ies that you build one for all children.”Section II WritingPart A27. Translate the following text into English. (10 points)世界上最容易的事情，莫过于踩着别人的脚印走。
20092010学年度第一学期高三数学试题-6
2009-2010学年第一学期高三期中试卷数学文科试卷一、填空题：（每题5分，共70分）1．集合{02}M x x =≤≤，则)}1lg({x y x M -=⋂=▲_. 2.若复数z 满足i z i 6)33(=-（i 是虚数单位），则|z|=▲． 3.命题“∃x ∈R ，x 2－2x+l ≤0”的否定为▲_.4．在等比数列{}n a 中，若379,1,a a =-=-则5a 的值为_▲.5.已知函数⎩⎨⎧≤>=)0(3)0(log )(2x x x x f x ，则1[()]4f f 的值为▲．6．设方程2ln 72x x =-的解为0x ,则关于x 的不等式02x x -<的最大整数解为____▲____. 7.根据如图所示的算法流程图，输出的结果T 为▲．8a 210.椭圆221x my +=的焦点在y 11. 如图，半径为10 cm 小圆．现将半径为1 cm 落在纸板内，则硬币落下后与小圆无公共点的概率为.12. 设x 、y 满足条件310x y y x y +⎧⎪-⎨⎪⎩≤≤≥，则22(1)z x y =++13．已知函数3()6f x x x =+-，若不等式2()23f x m m ≤-+对于所有[2,2]x ∈-恒成立，则实数m 的取值范围是▲． 14.．下列几个命题：①方程2(3)0x a x a +-+=的有一个正实根，一个负实根，则0a <； ②若)(x f 的定义域为[0，1]，则)2(+x f 的定义域为[－2，－1]；③函数2)1(log 2++-=x y 的图象可由2)1(log 2---=x y 的图象向上平移4个单位,向左平移2个单位得到；A B C D (b) 第8题④若关于x 方程m x x =--322有两解,则40>=m m 或。
⑤若函数(21)f x +是偶函数, 则(2)f x 的图象关于直线21=x 对称. 其中正确的有▲．2009-2010学年第一学期高三期中试卷数学文科试卷答卷二、解答题：（15--17每题14分，18--20每题16分，共90分）15．已知集合A ＝{x|x 2－2x －8≤0，x ∈R}，B ＝{x|x 2－(2m －3)x ＋m 2－3m ≤0，x ∈R ，m ∈R }． （1）若A ∩B ＝[2，4]，求实数m 的值；（2）设全集为R ，若A ⊆∁R B ，求实数m 的取值范围． 16.在ABC △中，已知2AC =，3BC =，4cos 5A =-． （Ⅰ）求sinB 的值；（Ⅱ）求sin 26B π⎛⎫+⎪⎝⎭的值 m =(cosx+3sinx,1),n =(2cosx,a)（x ,a ∈R,a 为常数）,记()f x =n m ⋅.(1)求()f x 的单调增区间； (2) 求()f x 图像的对称轴； (3)若x ∈[0,2π]时，()f x 最大值为4，求a 的值. 18.下表给出的是由*,3(N n n n n ∈≥⨯）个正数排成的n 行n 列数表，a ij 表示第i 行第j 列的一个数，表中第一列的数从上到下依次成等差数列，其公差为d ，表中各行，每一行的数从左到右依次都成等比数列，且所有公比相等，公比为q ，已知1,83,41322313===a a a ． （1）求11a ，d ，q 的值；（2）设表中对角线上的数11a ，22a ，33a ，…，nn a 组成的数列为}{n a ，记nn n a a a a T ++++= 332211，求使不等式4342--<n T n n n 成立的最小正整数n ．31a 32a33a …na 3……… … …1n a2n a3n a…nna19.已知某公司生产某品牌服装的年固定成本为10万元，每生产千件需另投入2.7万元，设该公司年内共生产该品牌服装x 千件并全部销售完，每千件的销售收入为R （x ）万元，且⎪⎪⎩⎪⎪⎨⎧>-≤<-=)10(31000108)100(3018.10)(22x x xx x x R ．（1）写出年利润W （万元）关于年产品x （千件）的函数解析式；（2）年产量为多少千件时，该公司在这一品牌服装的生产中所获年利润最大？x a x x f ln )(2-=在]2,1(是增函数,x a x x g -=)(在(0,1)为减函数(1)求)(x f 、)(x g 的表达式(2)求证:当0>x 时,方程2)()(+=x g x f 有唯一解;(3)当1->b 时,若212)(x bx x f -≥在x ∈]1,0(内恒成立,求b 的取值范围.答案1.{01}x x ≤<2.33.012,2>+-∈∀x x R x 4.-3 5.196. 47.258.2321 10. 1411.817712. 4 13.1212m m ≥+≤或①②_④⑤ 15．解：由已知得A ＝[－2，4]，B ＝[m －3，m ]．（1）∵A ∩B ＝[2，4]，∴⎩⎨⎧m －3＝2，m ≥4．∴m ＝5．（2）∵B ＝[m －3，m ]，∴∁R B ＝(－∞，m －3)∪(m ，＋∞)．∵A ⊂∁R B ，∴m －3＞4或m ＜－2．∴m ＞7或m ＜－2．∴m ∈(－∞，－2)∪(7，＋∞)．16.（Ⅰ）解：在ABC △中，2243sin 1cos 155A A ⎛⎫=-=--= ⎪⎝⎭，由正弦定理，sin sin BC AC A B =． 所以232sin sin 355AC B A BC ==⨯=．（Ⅱ）解：因为4cos 5A =-，所以角A 为钝角，从而角B 为锐角，于是 22221cos 1sin 155B B ⎛⎫=-=-=⎪⎝⎭，cos2B=2517,sin2B=25214 17.(1)∵y =()f x =m n ⋅＝2cos 2x +23cos x sin x +a =2sin(2x +6π)+a +1; 当2k π－2π≤2x +6π≤2k π+2π,即x ∈[k π－3π,k π+6π](k Z ∈)时函数y=f(x)单调递增； （2）)(,26Z k k x ∈+=ππ（3）∵0≤x ≤2π，∴6π≤2x +6π≤67π，－21≤sin(2x +6π)≤1,∴max y ＝3+a =4,即a ＝1.18.（1）根据题意可列出如下方程组：（2）11-•=n n nn qa a 111])1([-•-+=n q d n a 1)21(]21)1(1[-•⨯-+=n nn n )21)(1(+=，nn n a a a a T ++++=∴ 332211n n )21()1()21(4)21(3)21(2321•+++⨯+⨯+⨯= ，132)21()1()21(3)21(221+•+++⨯+⨯=n n n T ， 两式相减得132)21)(1()21()21()21(121++-++++=n n n n T 1)21)(1(211])21(1[2121++---⨯+=n n n ， n n n T 233+-=∴，于是原不等式化为040234>-⨯-n n ，即0)82)(52(>-+nn，82>∴n ，3>∴n 故使不等式成立的最小正整数为4．19.（1）当0<x≤10时，10301.8)7.210()(3--=+-=x x x x xR W 当x >10时，x xx x xR W 7.23100098)7.210()(--=+-= （2）①当0<x≤10时，由;0,)9,0(.90101.82>'∈==-='W x x x W 时且当得 当(9,10),0;x W '∈<时∴当x=9时，W 取最大值，且6.3810930191.83max =-⨯-⨯=W ②当x>10时，W=98387.2310002987.231000=⨯-≤⎪⎭⎫⎝⎛+-x x x x当且仅当max 10001002.7,,38.39x x W x ===即时 综合①、②知x=9时，W 取最大值．所以当年产量为9千件时，该公司在这一品牌服装生产中获利最大．20. (1),2)(xax x f -='依题意]2,1(,0)(∈≥'x x f ,即22x a ≤,]2,1(∈x ∵上式恒成立,∴2≤a ①又xax g 21)(-=',依题意)1,0(,0)(∈≤'x x g ,即x a 2≥,)1,0(∈x∵上式恒成立,∴.2≥a ②由①②得2=a ∴.2)(,ln 2)(2x x x g x x x f -=-=(2)由(1)可知,方程2)()(+=x g x f ,.022ln 22=-+--x x x x 即 设22ln 2)(2-+--=x x x x x h ,,1122)(xx x x h +--='则 令0)(>'x h ,并由,0>x 得,0)222)(1(>+++-x x x x x 解知.1>x令,0)(<'x h 由.10,0<<>x x 解得x (0,1) 1 (1,+∞) )(x h ' -+ )(x h递减 0递增当10≠>x x 且时,)(x h ＞0,∴0)(=x h 在(0,+∞)上只有一个解.即当x ＞0时,方程2)()(+=x g x f 有唯一解(3)设2'23122()2ln 2()220x x x bx x x b x x x ϕϕ=--+=---<则 ()x ϕ∴在(0,1]为减函数min()(1)1210x b ϕϕ∴==-+≥ 又1b >-所以：11≤<-b 为所求范围。
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• Where’s the dog?
The dog is in the shop.
Read these words:
not orange of long Tom dog hot shop old hold fold cold nose rose photo
• not of no shop • Tom hold dog hot • old fold cold orange • longt do you want? I want _________. an apple some apples three apples
What does she want? She wants ____________. three apples four peaches three plums
Shopping list
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3 bananas
9 mangos 8 plums
13 lemons
Peaches, apples and plums.
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A: Sure.
B: How many______?
A: ______ ______, please. B: How much are they? A: _______ yuan. B: Here you are. A: Here’s your change . B: Thank you.
I want
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What do you want? I want _________. an apple some apples three apples
Want want want
I want You want We want They want
Wants wants wants He wants She wants It wants
She’s • Who is this girl? • What has Bonnie got?
• What colour is the dog?
Bonnie.
Bonnie has got a dog.
The dog is brown.
• How is the dog?
The dog is hot.