2012年高考真题——自选模块(浙江卷)word版

2012年浙江高考英语试题选择题部分（共80分）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 四个选项中，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。

1. ----- Is there anything else to discuss?------ _________, I guess.A. Not at allB. No ,that's allC. Yes , I 'm sureD. Yes , of course2. The development of industry has been _______ gradual process throughout ______human existence from stone tools to modern technology.A．不填；the B．the；a C．a；不填D．a；a3．No matter how bright a talker you are , there are times when it 's better ______ silent. A．remain B, be remaining C, having remained D, to remain4. I made a promise to myself _______ this year, my first year in high school , would be different. A, whether B, what C, that D, how5. Studying Wendy's menu , I found that many of the items are similar to ______ of McDonald's . A, those B, ones C, any D, all6. _______ all the animals I 've ever had ,those two dogs are the most sensitive to the spoken word..A. FromB. OfC. ForD. With7. Your _______ as a student will be excellent if you develop a habit of reflecting on how you learn.A, opinion B, growth C, performance D, character8. I think Tom, as the head of a big department, should either study regualrly or ______ his job. A, quits B, to quit C, quitting D, quit9. We live in an age ________ more information is available with great ease than ever before. A, why B, when C, to whom D, on which10. The research lacks ________ evidence ,and therefore , its conclusions are doubtful.A, solid B, fierce C, severe D, potential11. " It's such a nice place," Mother said as she sat at the table______ for customers.A, to be reserved B, having reserved C, reserving D, reserved12. According to scientists, our mental abilities begin to ___ from the age of 27 after reaching thehighest level at 22.A, differ B, shrink C, fail D, decline13. Peter had intended to take a job in business, but ______ that plan after the unpleasantexperience in Canada in 2010.A, had abandoned B, abandoned C, abandon D, will abandon14. Brown said he was by no means annoyed; _______ he was glad to be able make himself clearly understood.A, all in all B, for one thing C, on the contrary D, by the way15. Armed with the information you have gathered , you can ________ preparing your business plan. A, set out B, set about C, set off D, set up16. ----- Alvin , are you coming with us?------ I'd love to , but something unexpected __________.A, has come up B, was coming up C, had come up D, would come up17. Ellen was a painter of birds and nature, _______, for some reason , had withdrawn from all human society. A, which B, who C, where D, whom18. Mike was usually so careful, ________this time he made a small mistake.A, yet B, still C, even D, thus19. Had they known what was coming next, they ________ second thoughts.A, may have B, could have C, must have had D, might have had20. ----- I'm going to San Francisco for a couple of days .------ ________, I wish I could get away for a while.A. It doesn't matterB. Forget it.C. I really envy youD. I can't agree more第二节：完形填空（共20小题；每小题1分，满分20分）阅读下面短文，掌握其大意，然后从第21—40 各题所给的四个选项（A、B、C 和D）中，选出最佳选项，并在答题卷上将该项涂黑。

2012年普通高等学校招生全国统一考试（浙江卷）文科综合能力测试（地理部分）第I卷（选择题部分）（每小题4分）2011年11月28日至12月9日，联合国气候变化大会在南非东部海滨城市德班召开，大会重点关注了二氧化碳排放。

完成1～2题。

1. 2009年我国政府提出，到2020年单位GDP二氧化碳排放比2005年下降40%~50%。

下列措施中有助于实现该目标的有①推广太阳能、核能②降低非化石能源占一次性能源消费的比重③增加森林面积④提高单位GDP能耗A.①②B.①③C.②③D.②④2. 据下表分析，德班的气候类型是第2题表德班气候资料（测站：29º50′S ,31º2′E 海拔5m）A. 热带雨林气候B. 热带草原气候C. 热带季风气候D. 地中海气候专家认为，欣赏旅游景观，尤其需要的是提升感受力和理解力。

完成3～4题。

“马穿山径菊初黄，信马悠悠野兴长。

万壑有声含晚籁，数峰无语立斜阳。

棠梨叶落胭脂色，荞麦花开白雪香。

何事吟余忽惆怅，村桥原树似吾乡。

”这是宋朝诗人王禹偁谪居陕西时，描述山村风景的《村行》。

3. 下面四位同学对《村行》评论，哪些同学的说法是正确的？甲：“马穿山径菊初黄”中的“菊初黄”同时包含了由视觉、听觉感受到的景象；乙：“万壑有声含晚籁”中的“万壑”指的是遍布的黄土沟壑；丙：“荞麦花开白雪香”指的由视觉、嗅觉感到的春天景象;丁：“村桥原树似吾乡”是由视觉看到的景物，并引发的移情想象欣赏。

A. 甲乙B. 甲丙C. 乙丁D. 丙丁4. 下列对地貌旅游资源所构成的岩石类型的表述，正确的是A. 火山地貌景观的岩石构成是花岗岩B. 丹霞地貌景观的岩石构成是流纹岩C. 岩溶地貌景观的岩石构成是可溶性的沉积岩D. 球状风化形成的山石景观的岩石构成是砂岩自2011年7月始，泰国发生了持续3个多月的洪涝灾害，多个全球知名IT企业在泰国设立的硬盘生产厂家在此灾害中遭受不同程度损毁，导致当年硬盘价格上涨。

2012·浙江卷(语文)一、语言文字运用(共24分，其中选择题每小题3分)1．[2012·浙江卷] 下列词语中加点的字，注音全都正确的一项是()A．昵．(nì)称质．(zhǐ)量衣钵．(bō) 因噎．(yē)废食B．刍(chú)议熟稔．(rěn)露．(lù)脸瘙．(sào)痒难忍C．奇葩．(pā) 笑靥．(yǎn)当．(dàng)真物阜．(fù)民丰D．绮．(qǐ)丽木讷．(nè)顷．(qǐng)刻入不敷．(fū)出1．D[解析] 本题考查考生识记现代汉语字音的能力。

题目中所涉及的都是常见字的读音，这些常见字在必修教材中都出现过，学生并不生疏。

如A项的“质(zhǐ)量”应为“质(zhì)量”；B项的“露(lù)脸”应为“露(lòu)脸”；C项的“笑靥(yǎn)”应为“笑靥(yè)”。

其中“露”字为多音字，所以考生在复习时要注意根据一个字在具体语境中的意义去判定它的读音。

2．[2012·浙江卷] 下列各句中，没有错别字的一项是()A．散文是倍受读者青睐的文体，古今中外的散文家凭借生花妙笔，写下了无数文采斐然、脍炙人口的名篇。

B．上课铃声过后，他才慌慌张张地冲进教室，“报告”声刚落，同学们轰堂大笑，原来他衣服的纽扣错位了。

C．毋庸讳言，得过且过、敷衍塞责的教师确实存在，但像“最美女教师”张丽莉那样爱生如子、恪尽职守的人，才是教师队伍中的主流。

D．作为领导干部，面对群众时需要很强的亲和力，只有贴近群众，和颜悦色而不是急言厉色，才能真正听到群众的心声。

2．C[解析] 本题考查考生识记并正确书写现代汉语常用规范汉字的能力，以及对同音字、形似字的辨析能力。

在语境中考查字形，既考查错别字，也考查近义词语的区别，比单纯考错别字，难度有所加大。

在语境中考查字形，还要根据前后语境来判断字形。

2012年普通高等学校招生全国统一考试（浙江卷）英语选择题部分（共80分）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 四个选项中，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。

1. ----- Is there anything else to discuss?------ _________, I guess.A. Not at allB. No ,that's allC. Yes , I 'm sureD. Yes , of course2. The development of industry has been _______ gradual process throughout ______human existence from stone tools to modern technology.A．不填；the B．the；a C．a；不填D．a；a3．No matter how bright a talker you are , there are times when it 's better ______ silent. A．remain B, be remaining C, having remained D, to remain4. I made a promise to myself _______ this year, my first year in high school , would be different. A, whether B, what C, that D, how5. Studying Wendy's menu , I found that many of the items are similar to ______ of McDonald's . A, those B, ones C, any D, all6. _______ all the animals I 've ever had ,those two dogs are the most sensitive to the spoken word..A. FromB. OfC. ForD. With7. Your _______ as a student will be excellent if you develop a habit of reflecting on how you learn.A, opinion B, growth C, performance D, character8. I think Tom, as the head of a big department, should either study regularly or ______ his job. A, quits B, to quit C, quitting D, quit9. We live in an age ________ more information is available with great ease than ever before. A, why B, when C, to whom D, on which10. The research lacks ________ evidence ,and therefore , its conclusions are doubtful.A, solid B, fierce C, severe D, potential11. " It's such a nice place," Mother said as she sat at the table______ for customers.A, to be reserved B, having reserved C, reserving D, reserved12. According to scientists, our mental abilities begin to ___ from the age of 27 after reaching thehighest level at 22.A, differ B, shrink C, fail D, decline13. Peter had intended to take a job in business, but ______ that plan after the unpleasantexperience in Canada in 2010.A, had abandoned B, abandoned C, abandon D, will abandon14. Brown said he was by no means annoyed; _______ he was glad to be able make himself clearly understood.A, all in all B, for one thing C, on the contrary D, by the way15. Armed with the information you have gathered , you can ________ preparing your business plan. A, set out B, set about C, set off D, set up16. ----- Alvin , are you coming with us?------ I'd love to , but something unexpected __________.A, has come up B, was coming up C, had come up D, would come up17. Ellen was a painter of birds and nature, _______, for some reason , had withdrawn from all human society. A, which B, who C, where D, whom18. Mike was usually so careful, ________this time he made a small mistake.A, yet B, still C, even D, thus19. Had they known what was coming next, they ________ second thoughts.A, may have B, could have C, must have had D, might have had20. ----- I'm going to San Francisco for a couple of days .------ ________, I wish I could get away for a while.A. It doesn't matterB. Forget it.C. I really envy youD. I can't agree more第二节：完形填空（共20小题；每小题1分，满分20分）阅读下面短文，掌握其大意，然后从第21—40 各题所给的四个选项（A、B、C 和D）中，选出最佳选项，并在答题卷上将该项涂黑。

2012年浙江高考英语试题选择题部分（共80分）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 四个选项中，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。

1. ----- Is there anything else to discuss?------ _________, I guess.A. Not at allB. No ,that's allC. Yes , I 'm sureD. Yes , of course2. The development of industry has been _______ gradual process throughout ______human existence from stone tools to modern technology.A．不填；the B．the；a C．a；不填D．a；a3．No matter how bright a talker you are , there are times when it 's better ______ silent. A．remain B, be remaining C, having remained D, to remain4. I made a promise to myself _______ this year, my first year in high school , would be different. A, whether B, what C, that D, how5. Studying Wendy's menu , I found that many of the items are similar to ______ of McDonald's . A, those B, ones C, any D, all6. _______ all the animals I 've ever had ,those two dogs are the most sensitive to the spoken word..A. FromB. OfC. ForD. With7. Your _______ as a student will be excellent if you develop a habit of reflecting on how you learn.A, opinion B, growth C, performance D, character8. I think Tom, as the head of a big department, should either study regualrly or ______ his job. A, quits B, to quit C, quitting D, quit9. We live in an age ________ more information is available with great ease than ever before. A, why B, when C, to whom D, on which10. The research lacks ________ evidence ,and therefore , its conclusions are doubtful.A, solid B, fierce C, severe D, potential11. " It's such a nice place," Mother said as she sat at the table______ for customers.A, to be reserved B, having reserved C, reserving D, reserved12. According to scientists, our mental abilities begin to ___ from the age of 27 after reaching thehighest level at 22.A, differ B, shrink C, fail D, decline13. Peter had intended to take a job in business, but ______ that plan after the unpleasantexperience in Canada in 2010.A, had abandoned B, abandoned C, abandon D, will abandon14. Brown said he was by no means annoyed; _______ he was glad to be able make himself clearly understood.A, all in all B, for one thing C, on the contrary D, by the way15. Armed with the information you have gathered , you can ________ preparing your business plan. A, set out B, set about C, set off D, set up16. ----- Alvin , are you coming with us?------ I'd love to , but something unexpected __________.A, has come up B, was coming up C, had come up D, would come up17. Ellen was a painter of birds and nature, _______, for some reason , had withdrawn from all human society. A, which B, who C, where D, whom18. Mike was usually so careful, ________this time he made a small mistake.A, yet B, still C, even D, thus19. Had they known what was coming next, they ________ second thoughts.A, may have B, could have C, must have had D, might have had20. ----- I'm going to San Francisco for a couple of days .------ ________, I wish I could get away for a while.A. It doesn't matterB. Forget it.C. I really envy youD. I can't agree more第二节：完形填空（共20小题；每小题1分，满分20分）阅读下面短文，掌握其大意，然后从第21—40 各题所给的四个选项（A、B、C 和D）中，选出最佳选项，并在答题卷上将该项涂黑。

2012年普通高等学校夏季招生全国统一考试数学文史类(浙江卷)本试题卷分选择题和非选择题两部分.满分 150分，考试时间120分钟.选择题部分(共50分)参考公式： 球的表面积公式 s = 4 n 2球的体积公式 4 3V = T R 33其中R 表示球的半径 锥体的体积公式 1 V = Sh3其中S 表示锥体的底面积, 柱体的体积公式 V = Sh其中S 表示柱体的底面积, 台体的体积公式 V = 1h(S 1 + .S3 + S 2)3其中S 1, S 2分别表示台体的上、下底面积. h 表示台体的高如果事件A , B 互斥，那么P(A + B) = P(A)+ P(B)如果事件A 在一次试验中发生的概率是P ,那么n 次独立重复试验中事件A 恰好发生k次的概率 P n (k) = c n p k (1 - P)旷k (k = 0,1,2,…,n)一、选择题：本大题共 10小题，每小题5分，共50分.在每小题给出的四个选项中， 只有一项是符合题目要求的.1. 设全集 U = {123,4,5,6}，集合 P = {1,2,3,4} , Q = {3,4,5}，贝U P n u Q)=( )A . {1,2,3,4,6}B . {1,2,3,4,5}C . {1,2,5}D . {1,2}3 i2. 已知i 是虚数单位，则 ( )1 iA . 1-2iB . 2-iC . 2+ iD . 1 + 2i3.已知某三棱锥的三视图(单位：cm)如图所示，则该三棱锥的体积是( )h 表示锥体的咼h 表示柱体的高A ．1 cm3B．2 cm3C．3 cm3D．6 cm34. 设a € R，则“ a = 1” 是“直线li: ax+ 2y—1 = 0 与直线I2： x + (a+ 1)y+ 4= 0 平行”的( )A .充分不必要条件B .必要不充分条件C.充分必要条件 D •既不充分也不必要条件5. 设I是直线，a， B是两个不同的平面，()A .若I // a, I // 贝U all 3B .若I // a, I 丄3,贝V a丄3C .若a丄3, I丄a, 贝V I丄3D .若a丄3, I / a ,贝V I丄36. 把函数y= cos2x＋1 的图象上所有点的横坐标伸长到原来的 2 倍(纵坐标不变) 然后向左平移 1 个单位长度再向下平移 1 个单位长度得到的图象是( )7. 设a b 是两个非零向量( )A .若|a+ b|= |a|—|b| ,贝U a丄bB .若a丄b,则|a+ b|= |a|—|b|C. 若|a+ b|=|a|—|b| ,则存在实数入使得b =七D. 若存在实数入使得b= ,则|a + b|= |a|—|b|8. 如图中心均为原点O 的双曲线与椭圆有公共焦点M N 是双曲线的两顶点.若2M , O , N 将椭圆长轴四等分，则双曲线与椭圆的离心率的比值是A. 3 B . 2 C . ■ 3D . 29. 若正数x , y 满足x + 3y = 5xy ,则3x + 4y 的最小值是（24 28A.B .C . 5D . 65510 .设a >0, b >0, e 是自然对数的底数( )A .若 e a + 2a = e b + 3b ，贝U a >b B. 若 e a + 2a = e b + 3b ,贝V a v b C. 若 e a — 2a = e b — 3b ,则 a >b D. 若 e a — 2a = e b — 3b ，贝U av b非选择题部分（共100分）、填空题：本大题共 7小题，每小题4分，共28分.11.某个年级有男生560人，女生420人，用分层抽样的方法从该年级全体学生中抽取 一个容量为280的样本，则此样本中男生人数为 ______________________________________________ .12 .从边长为1的正方形的中心和顶点这五点中，随机 距离为迈的概率是13 .若某程序框图如图所示，则该程序运行后输出的值是（等可能）取两点，则该两点间的x y 10,x y 20,14 .设z= x+ 2y，其中实数x，y满足则z的取值范围x0,y0,uuu umr15. 在厶ABC 中，M 是BC 的中点，AM = 3, BC = 10,贝U AB AC ____________ .16. 设函数f(x)是定义在R上的周期为2的偶函数，当x€[ 0,1 ]时，f(x)= x+ 1,则f(3)217. ____________ 定义：曲线C上的点到直线I的距离的最小值称为曲线C到直线I的距离.已知曲线C1：y= x2+ a到直线I: y= x的距离等于曲线C2 : x2+ (y+ 4)2= 2到直线I: y= x的距离，贝y实数a= ___________ .三、解答题：本大题共5小题，共72分•解答应写出文字说明、证明过程或演算步骤.18. 在△ ABC 中，内角A，B，C 的对边分别为a，b，c，且bsinA = ■■. 3 acosB.(1) 求角B的大小；(2) 若b = 3，sinC= 2sinA，求a，c 的值.19. 已知数列｛a n｝的前n项和为S n，且3= 2n2+n，n € N*，数列｛b n｝满足a n = 4log2b n + 3，n € N*.(1)求a n，b n；⑵求数列｛a n b n｝的前n项和T n.20. 如图，在侧棱垂直底面的四棱柱ABCD —A1B1C1D1中，AD // BC ,AD丄AB, AB . 2，AD =2，BC=4，AA1=2，E是DD1的中点，F是平面B1C1E与直线AA1的交点.(1)证明：① EF // A1D1；②BA1丄平面B1C1EF ;⑵求BC1与平面B1C1EF所成的角的正弦值.21. 已知a € R，函数f(x)= 4x3—2ax+ a.(1) 求f(x)的单调区间；(2) 证明：当0W x w 1 时，f(x)+ |2 —a|>0.122. 如图，在直角坐标系xOy中，点P(1，-)到抛物线C：y2=2px(p> 0)的准线的距离25为三.点M(t,1)是C上的定点，A，B是C上的两动点，且线段AB被直线OM平分.4⑴求p, t的值；(2)求厶ABP面积的最大值.【自选模块】3. “数学史与不等式选讲”模块(10分)已知a€ R，设关于x的不等式|2x—a|+ |x+ 3|> 2x+ 4的解集为A.(1) 若a = 1，求A;(2) 若A = R，求a的取值范围.4. “矩阵与变换和坐标系与参数方程”模块(10分)x= 2 + tcos ,在直角坐标系xOy中，设倾斜角为a的直线I: _ (t为参数)与曲线C:y=V3+ tsinx=2cos ,(B为参数)相交于不同两点A, B .y= sinn(1) 若一，求线段AB中点M的坐标；3(2) 若|PA| |PB|= |0P|2，其中P(2,. 3),求直线I 的斜率.1. D 由已知得，-U Q = {1,2,6},所以P n C-U Q)= {1,2}.3 i (3 i)(1 i) 3+3i+i+i 2 2 4i2. D •/ 1 2i ,1 i (1 i)(1 i)2 2•••选 D .13. A 由三视图得，该三棱锥底面面积S= x 2 x 1= 1(cm2)，高为3 cm,由体积公1 1 3式，得v= _ Sh= - x 1x 3 = 1(cm3).3 34. A l1与l2平行的充要条件为a(a+ 1)= 2 x 1且a x 4丰1 x (—1)，可解得a = 1或a =—2,故a= 1是11 // l2的充分不必要条件.5. B A项中由I // a l // B不能确定a与B的位置关系，C项中由a丄B, I丄a可推出l // B或I B, D项由a丄B, l // a不能确定I与B的位置关系.6. A y= cos2x+ 1图象上所有点的横坐标伸长到原来的2倍得y i= cosx+ 1,再向左平移1个单位长度得y2 = cos(x+ 1)+ 1,再向下平移1个单位长度得y3= cos(x+ 1)，故相应的图象为A项.7. C 由|a+ b|=|a|—|b|两边平方可得，|a|2+ 2a b + |b|2= |a|2-2|a||b|+ |b|2,即卩 a b=-ai|b|，所以cos < a, b>=- 1,即卩a与b反向，根据向量共线定理，知存在实数入使得b =?a.8. B 由题意可知椭圆的长轴长2a1是双曲线实轴长2a2的2倍，即a1= 2a2,而椭圆与双曲线有相同的焦点.c故离心率之比为a虫2.c a2a1.1 3 .9. C - x+ 3y = 5xy, - - 1 .5y 5x1 3••• 3x+ 4y= (3x+ 4y)x 1 = (3x+ 4y)5y 5x=空9 4 12y 13 2(3x 12y 55y 5 5 5x 5 ■. 5y5x3x 12v 1当且仅当，即x= 1, y —时等号成立.5y 5x 210. A 函数y= e x+ 2x为单调增函数，若e a+ 2a = e b+ 2b，则a= b;若e a+ 2a= e b+3b, • a> b.故选A .11. 答案：160解析：根据分层抽样的特点，此样本中男生人数为560280560 420212. 答案：-52解析：五点中任取两点的不同取法共有C5=10种，而两点之间距离为4 2故概率为一10 5113. 答案： -120解析:当i = 1 时，T = 1= 1,1当i = 2时，T1，当!1i = 3 时，T 231 r6，当i= 4160 .-的情况有42种,1丄时，T61当i = 5时，T1，当i = 6时,结束循环，输出T —.4245120120 14答案：［0, j :解析：不等式组表示的可行域如图阴影部分，结合图象知，0点，C 点分别使目标函数取得最小值、最大值，代入得最小值为 0,最大值为7.215. 答案：—16uur ULUT uuuu uuir UUUU uuun UUUU ULUU UULU UUUU LULT解析：AB -AC = (AM + MB )(・AM + MC )= AM + AM -MC + AM MB + LULT UUUT UUUU UULT UUUU UUUU UULT UULUMB MC = |AM |2 + ( MB + MC )AM + | MB ||MC |cos n — 25=— 16.…316. 答案：一2 3 311 f (¥) f(3 2) f( -)f(-)2 22 2…917.答案：一4物线y = x 2 + a 开口向上，所以 y = x 2 + a 与y = x + 2相切，可求得 a18.解：(1)由bsinA = ------- 3 acosB 及正弦定理si nA 得 sinB =、、3 cosB ,所以tanB = --3，所以B —.3 a c⑵由 sinC = 2sinA 及，得 c = 2a .si nA si nC由 b = 3 及余弦定理 b 2= a 2 + c 2— 2accosB ,解析: 4解析：x 2+ (y + 4)2= 2到直线y = x 的距离为 一-距离为、、2，而与y = x 平行且距离为.2的直线有两条，分别是、2 、、2，所以 y = x 2+ a 到 y = x 的y = x + 2 与 y = x — 2,而抛b si nB得9 = a2+ c2—ac.所以a , c 2、3 .19. 解：(1)由S n = 2n2+ n,得当n = 1 时，a1 = S1 = 3;当n >2 时，a n= S n—S n-1= 4n—1. 所以a n= 4n—1, n € N*.由4n— 1 = a n= 4log2b n+ 3,得b n= 2n—1, n € N*.(2)由(1)知a n b n= (4n—1) 2n—1, n€ N*.所以T n= 3+ 7 X 2 + 11X 22+…+ (4n—1) 2n —1,2T n= 3X 2+ 7 X 22+…- (4n —1) 2n,所以2T n —T n= (4n —1)2n—[ 3+ 4(2 + 22+…+ 2n —1)：= (4n —5)2n+ 5. 故T n= (4n —5)2n+ 5, n€ N*.20. (1)证明：①因为C1B1//A1D1, C1B1 平面ADD 1A1,所以C1B1 //平面A1D1DA .又因为平面B1C1EF门平面A1D1DA=EF ,所以C1B1 //EF，所以A1D1 //EF .②因为BB1丄平面A1B1C1D1，所以BB1丄B1C1.又因为B1C1丄B1A1，所以B1C1丄平面ABB1A1, 所以B1C1丄BA1.在矩形ABB1A1 中，F 是AA1 的中点，tan/ A1B1F = tan/ AA1B =2 / AA1B，故BA1 丄B1F .所以BA1丄平面B1C1EF.⑵解：设BA1与B1F交点为H，连结C1H. (4n —5) 2n —1+，即 / A1B1F =由（1）知BA1丄平面B1C1EF ,所以/BC1H是BC1与面B1C1EF所成的角.在矩形AA1B1B 中，AB 、2 , AA1=2，得BH 4 .6 .在直角△ BHC1 中，BG 2 5 , BH4 "6，得 sin BGHBH 30BC 175由题意得 f'x) = 12x 2— 2a . f'x) > 0恒成立，此时f(x)的单调递增区间为(一 °° ,).此时函数f(x)的单调递增区间为(—m, J 6［和［^6, +m )单调递减区间为］t 6， 〕— ］•(2)证明：由于 0w x w 1,故当 a w 2 时，f(x) + |a — 2|= 4x 3— 2ax + 2> 4x 3— 4x + 2.当 a >2 时，f(x) + |a — 2|= 4x 3 + 2a(1 — x) — 2 > 4x 3 + 4(1 — x)— 2= 4疋一 4x + 2. 设 g(x) = 2x 3— 2x + 1,0W x w 1,273恵则 g 'x)= 6x — 2= 6(x — )(x +),33于是血4g(x)min= g (〒=1一可 >0所以当 0w x < 1 时，2x 3— 2x + 1>0. 故 f(x) + |a — 2|>4x 3— 4x + 2>0.2 pt 1,1p — 22.解：⑴由题意知 卫 §得 212 4' t 1.所以设线段AB 的中点为Q(m , m).所以BC i 与平面B i C i EF 所成角的正弦值是30 15当a > 0时, f'x) = 12(x- \ ；)(x +［；)， 21. ⑴解:当a < 0时, 所以,⑵设 A (X 1, y 1), B(X 2, y 2)，因为 OM 过AB 的中点，而且直线OM 的方程为x — y=0 ,由题意，设直线 AB 的斜率为k(k z 0).2y 1X \, ,由 2得(y i — y 2)(y i + y 2)=x i -x 2，故 k 2m = 1.y 2X 2,i所以直线AB 方程为y — m = (x - m),2m即 x — 2my + 2m 2— m = 0.2x 2my 2m m 0,由2y x,消去 x ,整理得 y 2— 2my + 2m 2— m = 0,所以 =4m — 4m 2>0, y i + y 2= 2m , y i y 2 = 2m 2— m . 从而 |AB=,.C ；2 ly i -y 2= 41 ~4m 2 V 4m~4m 2 . 设点P 到直线AB 的距离为d ,|i 2m 2m 21i 4m 2设厶ABP 的面积为S ,S = |AB | d = |i — 2(m — m 2)| -m m 2 . 2=4m — 4m 2 > 0,得 0v m v i .u =、m m 2, 0v u < *，贝U S = u(i — 2u 2).2i则 S'u)= i -6u 2.46i 由 S，u)= 0，得 u(0,;),62设 S(u)= u(i — 2u 2), 0v u <2故厶ABP 面积的最大值为3.解：⑴当x w — 3时，1当—3v x w时，原不等式化为 4 — x 》2x + 4，得—3v x w 0.21x 一时，原不等式化为 3x + 2>2x + 4,得x >2.2综上，A = {x|x w 0 或 x >2}⑵当 x w — 2 时，|2x — a| + |x + 3》0》2x + 4 成立. 当x >— 2时，|2x — a|+ x + 3= |2x — a| + |x + 3|》2x + 4,a 1得x 》a + 1或x3所以a + 1w — 2或a 1电」，得a w — 2.3综上，a 的取值范围为a w — 2.4.解：设直线I 上的点A , B 对应参数分别为t 1, t 2.将曲线C 的参数方程化为普通方2程—+ y 2= 1.4n(1)当 一时，设点M 对应参数为t o .3t t 28 12—2 ，所以，点M 的坐标为(一21313 x=2+tcos ,x 2l代入曲线C 的普通方程 一 + y 2= 1,得y = +3 tsi n4x 直线I 方程为21…■- (t 为参数),22x+ y 2= 1,得 13t 2+ 56t + 48= 0,4.3 代入曲线C 的普通方程则t o⑵将(cos2a+ 4sin2 a)t2+ (8,3 sin a+ 4coso)t+ 12= 0,… 12 2因为|FA| |P B|= |t1t2|= —2— , |OP|2= 7,cos 4sin所以一2cos 124s in2o7，得tan516由于=32cos a 2：/3 sin a—cos”> 0,故tan所以直线l的斜率为。

2012年普通高等学校招生全国统一考试（浙江卷）理科综合测试（物理）一．单项选择部分(每题6分)14．如图所示，与水平面夹角为30°的固定斜面上有一质量m =1.0 kg 的物体。

细绳的一端与物体相连，另一端经摩擦不计的定滑轮与固定的弹簧秤相连．物体静止在斜面上，弹簧秤的示数为4.9 N ．关于物体受力的判断(取g =9.8 m/s 2)，下列说法正确的是( )A ．斜面对物体的摩擦力大小为零B ．斜面对物体的摩擦力大小为4.9 N ，方向竖直向上C ．斜面对物体的支持力大小为4.9 3 N ，方向竖直向上D ．斜面对物体的支持力大小为4.9 N ，方向垂直斜面向上 【答案】A【解析】由弹簧秤的示数为4.9 N 可知细绳对物体的拉力大小也为4.9 N ，刚好等于物体的重力沿斜面向下的分力，因此物体在重力、绳子的拉力和斜面的支持力下能够保持平衡状态，故选项A 正确，选项B 错误；由平衡条件，斜面对物体的支持力F N ＝mg cos30°＝4.93N ，方向垂直斜面向上，故选项C 、D 错误。

15．如图所示，在火星与木星轨道之间有一小行星带．假设该带中的小行星只受到太阳的引力，并绕太阳做匀速圆周运动。

下列说法正确的是( )A ．太阳对各小行星的引力相同B ．各小行星绕太阳运动的周期均小于一年C ．小行星带内侧小行星的向心加速度值大于外侧小行星的向心加速度值D ．小行星带内各小行星圆周运动的线速度值大于地球公转的线速度值【答案】C【解析】各小行星质量以及其与太阳的距离不一定相同，故太阳对各小行星的引力不一定相同，选项A 错误；由a n ＝GMr 2可知，内侧小行星与太阳的距离较近，向心加速度较大，选项C 正确；各小行星绕太阳运动的半径均大于地球绕太阳运动的半径，由开普勒第三定律可知，各小行星绕太阳运动的周期均大于地球绕太阳运动的周期，选项B 错误；根据G Mm r 2＝mv 2r ，得v ＝GMr，可知各小行星运动的线速度均小于地球公转的线速度，故选项D 错误。

2012浙江高考英语真题及答案(全word版)2012年浙江高考英语试题选择题部分，（共80分）第一部分：英语知识运用（共两节，满分30分）第一节：（共20小题；每小题0．5分，满分10分）1. ----- Is there anything else to discuss?------ _________, I guess.A. Not at allB. No ,that’s allC. Yes , I ‘m sureD. Yes , of course2. The development of industry has been _______ gradual process throughout ______human existence from stone tools to modern technology.A, / , the B, the , a C, a, / D, a, a3. No matter how bright a talker you are , there are times when it ‘s better ______ silent.A, remain B, be remaining C, having remained D, to remain4. I made a promise to myself _______ this year, my first year in high school , would be different.A, whether B, what C, that D, how5. Studying Wendy’s menu , I found that many of the items are similar to ______ of McDonald’s .A, those B, ones C, any D, all6. _______ all the animals I ‘ve ever had ,those two dogs are the most sensitive to spoken word.A. FromB. OfC. ForD. With7. Your _______ as a student will be excellent if you develop a habit of reflecting on how you learn.A, opinion B, growth C, performance D, character 8. I think Tom, as the head of a big department, should either study regualrly or ______ his job.A, quits B, to quit C, quitting D, quit9. We live in an age ________ more information is available with great ease than ever before.A, why B, when C, to whom D, on which10. The research lacks ________ evidence ,and therefore , its conclusions are doubtful.A, solid B, fierce C, severe D, potential11. “ It’s such a nice place,” Mother said as she sat at the table______ for customers.A, to be reserved B, having reserved C, reserving D, reserved12. According to scientists, our mental abilities begin to ___ from the age of 27 after reaching the highest level at 22.A, differ B, shrink C, fail D, decline13. Peter had intended to take a job in business, but______ that plan after the unpleasant experience in Canada in 2010.A, had abandoned B, abandoned C, abandon D, will abandon14. Brown said he was by no means annoyed; _______ he was glad to be able make himself clearly understood.A, all in all B, for one thing C, on the contrary D, by the way15. Armed with the information you have gathered , you can ________ preparing your business plan.A, set out B, set about C, set off D, set up16. ----- Alvin , are you coming with us?------ I’d love to , but something unexpected__________.A, has come up B, was coming up C, had come up D, would come up17. Ellen was a painter of birds and nature, _______, for some reason, had withdrawn from all human society.A, which B, who C, where D, whom18. Mike was usually so careful, ________this time he made a small mistake.A, yet B, still C, even D, thus19. Had they known what was coming next, they ________ second thoughts.A, may have B, could have C, must have had D, might have had20. ----- I’m going to San Francisco for a coup le of days.------ ________, I wish I could get away for a while.A. It doesn’t matterB. Forget it.C. I really envy youD. I can’t agree more第二节：完形填空（共20小题；每小题1分，满分20分）“Just sign here, sir,” the d eliveryman said as he handed Oscar Reyna a package.The package consisted of a long , narrow box___21____ wrapped in brown paper. __22___ the box, Oscar saw an umbrella inside—— a very old one with a beautifully carved handle. ____23___He had not seen it in more than 20 years, he recognized it ____24____.Oscar was 16 when he first saw the ___25____ umbrella. He had gone to a concert with his grandparents. As they were leaving, he noticed an umbrella on an empty seat. Impressed by its ____26____, Oscar felt a strong desire to find its ___27____.Oscar ___28____ the manager to look in the record of advance ticket sales. Just as he thought, a name matched the seat ____29___ Oscar had found the umbrella . The name was Mrs. Katie O’brien.Oscar talked his grandparents into going by MrsO’brien’s ___30____ on their way home. He ran g the bell, the door opened, and an elderly woman appeared. “May I __31___ you ? “she asked.“I’d like to return it if its yours,” Oscar said,____32____ the umbrella as if presenting a ___33___ that had long been wished for.“Why , yes! it’s mine,“replied Mrs. Brien with a___34____ smile and shining eyes. “ It was given to by my father years ago. Thank you so much for returning it. May I offer you a reward for your ____35____ ? ““ No, ma’am , “ he said “ my grandmother says a good deed is its own reward.”“ Well, that ‘s ____36_____ my father used to say. What is your name , Young man ?”Years later, Oscar was staring at the finely carved handle of the umbrella as he remember Mrs. O’ Brien . It was in perfect condition, considering how__37__ it was. Why had it arrived here today?As if ___38____, a note fell from the paper. It read: Mrs O’brien wanted you to ___39___ this umbrella as a present for a kind, __40___gesture long ago.21. A. strictly B. carefully C. roughlyD. casually22. A. opening B. seizing C. observing D. searching23. A. After B. When C. Since D. Although24. A. clearly B. fully C. immediatelyD. suddenly25. A. average B. unusual C. plain D. typical26. A. beauty B. shape C. origin D. history27. A. designer B. seller C. user D. owner28. A. convinced B. forced C. encouragedD. advised29. A. until B. before C. which D. where30. A. family B. theater C. house D. neighborhood31. A. invite B. help C. bother D. know32. A. putting up B. turning out C. picking upD. holding out33. A. chance B. fact C. gift D. result34. A. wide B. confident C. proud D. shy35. A. patience B. kindness C. courage D. determination36. A. obviously B. naturally C. exactlyD. probably37. A. old B. rare C. precious D. nice38. A. in contrast B. in return C. in exchangeD. in answer39. A. possess B. accept C. carry D. value40. A. attractive B. significant C. unselfishD. sympathetic第二部分：阅读理解（第一节20小题，第二节5小题；每小题2分，共50分）A Easter (复活节) is still a great day for worship, candy in baskets and running around the yard finding eggs, but every year it gets quite a bit worse for bunnies.And no, not because the kids like to pull their ears. The culprit is climate change, and some researchers found that rising temperatures are having harmful effects on at least five species of rabbit in the US,Take the Lower Keys Marsh rabbit, for instance. An endangered species that lives in the Lower Florida Keys, this species of cottontail is a great swimmer -- it lives on the islands! -- but it is already severely affected by development and now by rising sea levels. According to the Center for Biological Diversity, an ocean level rise of only 0.6 meters will send these ~ys jumping to higher ground and a 0.9-meter rise would wipe out their habitat (栖息地) completely.The snowshoe hare, on the other hand, has a color issue. Most of these rabbits change their fur color from white inthe wintertime to brown in the summer, each designed to give them better cover f rom predators (~I~’) ~ As the number of days with snow decreases all across the country, however, more and more bunnies are being left in white fur during brown dirt days of both fall and spring, making them an easier mark for predators. Researchers know that the color change is controlled by the number of hours of sunlight, but whether the rabbit will be able to adapt quick enough to survive is a big question. The National Wildlife Federation has reported that hunters have noticed their numbers are already markedly down.American pikas or rock rabbits, a relative of rabbits and hares, might be the first of these species to go extinct due to climate change. About 7-8 inches long, pikas live high in the cool. damp mountains west of the Rocky Mountains. As global temperatures rise, they would naturally migrate (J~2~) to higher ground -- but they already occupy the mountaintops. They can’t go any higher. The National Wildlife Federation reports that they might not be able to stand the new temperatures as their habitat heats up.The volcano rabbit has the same problem. These rabbits live on the slopes of volcanoes in Mexico, andrecent studies have shown that the lower range of their habitat has already shifted upward about 700 meters, but there are not suitable plants for them to move higher, so they are stuck in the middle. Scientists are concerned about their populations.Native to the US, pygmy rabbits weigh less than 1 pound and live in the American West. They are believed to be the smallest rabbits in the world. Their habitats have been destroyed by development. Several populations, such as the Columbia Basin pygmy, almost went extinct and were saved by zoo breeding programs. Pygmy rabbits also rely on winter cover by digging tunnels through the snow to escape predators, but lesser snowfall is leaving them exposed.All of this gives new meaning to dressing up in a giant bunny costume this Easter.41. The writer mentions Easter at the beginning of the passage in order toA. show the importance of Easter DayB. introduce the issue about bunniesC. remind people of Easter traditionsD. discuss the relationship between Easter and bunnies42. The word “culprit” (Paragraph 2) is closest inmeaning to_________A. criminalB. judgeC. victimD. producer43. According to the passage, some rabbits can now be easily discovered by predators because theyA. are exposed to more skillful huntersB. have moved to habitats with fewer plantsC. haven’t adapted themselves to climate changeD. can’t change their fur color into white in the fall and the spring44. The problem faced by volcano rabbits and rock rabbits is thatA. both are affected by less snowB. both are affected by rising sea levelsC. neither can find enough foodD. neither can migrate to higher places45. Which best describes the writer’s tone in the passage?A. Approving.B. Concerned.C. Enthusiastic.D. Doubtful.BBelow is a selection about Guinness（吉尼斯）World Records.Top 6 Unusual Guinness World Records♦Fastest 100 m running on all foursThe 2008 Guinness World Records Day was, according to CWR, their biggest day of record-breaking ever, I- h more than 290.000 people taking put in record attempts in 15 different countries. Kenichi Ito's record attempt was port of this special day. He is just another example of Japanese with "super powers". His "super power" is to run with great speed on all fours. Kenichi Ito ran 100 m on all fours in 18.58 seconds. The Japanese set this record at Setagaya Kuritsu Sogo Undojyo, Tokyo, in 2008.♦Most people inside a soap bubbleThe Discovery Science Center in Santa Ana, Califomia celebrated this year the 15th anniversary of the Bubble (泡泡) Festival. A bubble's math principles and science were presented and demonstrated at the three-week-long exhibition. The intriguing Bubble Show was also part of the program. Fan Yang and Deni Yang impressed the audience with their awesome skills for bubble making. The Yang family cooperated with the Discovery Science Center to set a new Guinness World Record for mow people inside a scup bubble and they succeeded.The family that has been working with soap bubbles for27 years created a huge soap bubble and got 118 people inside it. The record was set or. April 4, 2011.♦Longest ears on a dogA bloodhound from Illinois has the longest ears ever measured a dog. The right ear is 13.75 inches long and the left one 13.5 inches. The dog named Tigger earned this title in 2004 and is owned by Christina and Bryan Flessner. Mr. Jeffries is the previous record holder of this title. Each of his ears measured approximately 11. 5 inches long. His grandfather used to hold this amazing world record, but when he died Mr.Jeffries look over.♦M ost living generationsDid you ever wonder what is the Guinness World Record for most living generation in one family? Seven is the answer.The ultimate authority on record-breaking mentions on the website that the youngest great-great- great-great grandparent of this family was Augusta Bung "aged 109 years 97 days, followed by her daughter aged 89, her granddaughter aged 70, her great grand-daughter aged 52, her great-great grand-daughter aged 33 and her great-great-great granddaughter aged 15 on the birth of her great-great-great-great grandson on January 21, 1989"♦M ost T shirts worn at onceBelieve it or not, there is a record also for this category. Krunoslav Budiseli set a new world record on May 22, 2010 for wearing 245 T-shirts at the same time. The nun from Croatia was officially recognized as the new record bolder by Guinness World Records after he managed to put on 245 different T-shirts in 1ess than two hours. . The T-shirts weighted 68 KG and Budiseli said he began struggling around T-shirt No. 120. He dethroned the Swedish Guinness record holder who wore 238 T-shirts.♦ Heaviest pumpkinGuinness World Records confirmed on October 9. 2010 that a gigantic pumpkin （南瓜）grown in Wisconcin was officially the world’s heaviest. It weighed 1,810 pounds 8 ounces and was unveiled by Chris Stevens at the Stillwater Harvest Festival in Minnesota. Stevens' pumpkin was 85 pounds Javier than the previous re I, another huge pumpkin grown in Ohio. The proud farmer said his secret is a precise of rain, cow mature, good soil, sea grass and fish emulsion. Some of the world's heaviest pumpkins, including the record bolder, were on public display at the Bronx Botanical Gardens in New Yost for a dozen days. 46. Why is Kenichi Ito described «s a man with a "superpower"?A. H e set a good example to all Japanese.B. He made record attempts in 15 different countries.C. H e set a new record for "Fastest 100 m running on all fours".D. H e participated in the 2008 Guinness World Records Day activities.47. _________ Jeffries is the name of .A. _________ the owner of the dog with the longest earsB. _________ the grandfather of the dog with the longest careC. _________ the present holder of the record for "Longest care on a dog"D.the former holder of the record for " longest care on a dog'48. How many T-shirts had Krunoslav Budiseli put on before he felt it difficult to go on?A. 68.B. 120.C. 238.D. 245.49. According to the given information. which Guinness World Record was most recently set?A. T he record for "Most people inside a soup bubble".B. The record for "Most living generations'".C. T he record for "Most T-shirts worn at once".D. T he record for " Heaviest pumpkin".CTwo friends have an argument that bleaks up their friendship forever, even though neither one can remember how the whole thing got started. Such sad events happen over and over in high schools across the country. In fact, according to an official report on youth violence, "In our country today, the greatest threat to the lives of children and adolescents is not disease or starvation or abandonment, but the terrible reality of violence". Given that this is the case, why aren't students taught to manage conflict the way they are taught to solve math problems, drive cars, or stay physically fit?First of all, students need to realize that conflict is unavoidable. A report on violence among middle school and high school students indicates that most violent incidents between students begin with a relatively minor insult (侮辱). For example, a fight could start over the fact that one student eats a peanut butter sandw ich each lunchtime. Laughter over the sandwich can lead to insults, which in turn can lead to violence. The problem isn't in the sandwich, but in the way students deal with the conflict. Once students recognize that conflict is unavoidable,they can practice the golden rule of conflict resolution (解决) stay calm. Once the student feels calmer, he or she should choose words that will calm the other person down as well. Rude words, name-calling, and accusation only add fuel to the emotional fir On the other hand, soft words spoken at a normal sound level can put out the fire before it explodes out of control.After both sides have calmed down, they can use another key strategy for conflict resolution; listening. Listening allows the two sides to understand each other. One person should describe his or her side, and the other person should listen without interrupting. Afterward, the listener can ask non-threatening questions to clarify the speaker's position. Then the two people should change roles.Finally, students need f. consider what they are hearing. This doesn't mean trying to figure out what's wrong with the other person. It means understanding what the real issue is and what both sides are trying to accomplish. For example, a shouting match over a peanut butter sandwich might happen because one person thinks the other person is unwilling to try new things. Students need to ask themselves questions such as these: How did this start?What do I really want? What am I afraid off As the issue becomes clearer, the conflict often simply becomes smaller. Even if it doesn't, careful thought helps both sides figure out a mutual solution.There will always be conflict in schools, but that doesn't mean there needs to be violence. After students in Atlanta started a conflict resolution program, according to Educators for Social Responsibility, "64 percent of the teachers reported less physical violence in the classroom;75 percent of the teachers reported an increase in student cooperation; and 92 percent of the students felt better about themselves". Learning to resolve conflicts can help students deal with friends,. teachers. parents, bosses, and coworkers. In that way, conflict resolution is a basic life skill that should be taught in schools across the country.50. ___________ This article is mainly about .A. the lives of school childrenB. the cause of arguments in schoolsC. how to analyze youth violenceD. how to deal with school conflicts51. ______________ From Paragraph 2 we can learn that________ _____ .A. ______________ violence is more likely to occur atlunchtimeB. ______________ a small conflict can lead to violenceC. ______________ students tend to lose their temper easilyD. ______________ the eating habit of a student is often the cause of a fight52. Why do students need to ask themselves the questions stated in Paragraph 5?A. T o find out who to blame.B. To get ready to buy new things.C. T o make clear what the real issue is.D. To figure out how to stop the shouting match.53. ____________________________ After the conflict resolution program was started in Atlanta, it was found that______.A. there was a decrease in classroom violenceB. there was less student cooperation in the classroomC. m ore teachers fell better about themselves in schoolsD. t he teacher-student relationship greatly improved54. _________________ T he writer’s purpose for writing this article is to_______.A. complain about problems in school educationB. teach students different strategies for school lifeC. advocate teaching conflict management in schoolsD. inform teachers of the latest studies on school violenceDAs a young boy, I sometimes traveled the country roads with my dad. He was a rural mill carrier, and on Saturdays he would ask me to go with him. Driving through the countryside was always an adventure: There were animals to see, people to visit, and chocolate cookies if you knew where to stop, and Dad did.In the spring, Dad delivered boxes full of baby chickens, and when 1 was a boy it was such a fun to stick your finger 'through one of the holes of the boxes and let the baby birds peck on your fingers.On Dad' s final day of work, it took him well into the evening to complete his rounds because at least one member from each family was waiting at their mailbox to thank him for his friendship and his years of service. "Two hundred and nineteen mailboxes on my route." he used to say, "and a story at every one. " One lady had no mailbox, so Dad took the mail in to her every day because she was nearly blind. Once inside, he read her mail and helped her pay her bills.Mailboxes were sometimes used for things other than mail. One note left in a mailbox read. "Nat, take these eggs to Marian; she's baking a cake and doesn't have any eggs. " Mailboxes might be buried in the snow, or broken, or lying on the groom:. bat the mail was always delivered On cold days Dad might find one of his customers waiting for him with a cup of hot chocolate. A young wrote letters but had no stamps, so she left a few button on the envelope in the mailbox; Dad paid for the stamps. One businessman used to leave large amounts of cash in his mailbox for Dad to take to the bank. Once, the amount came to 8 32,000.A dozen years ago, when I traveled back to my hometown on the sa d occasion of Dad’s death, the mailboxes along the way reminded me of some of his stories. I thought I knew them all, but that wasn't the case. As I drove home, I noticed two lamp poles, one on each side of the street. When my dad was around, those poles supported wooden boxes about four feet off the ground. One box was painted green and the other was red, and each had a long narrow hole at the top with white lettering: SANTA CLAUS, NORTH POLE. For years children had dropped letters to Santa through those holes.I made a turn at the comer and drove past the post officeand across the railroad tracks to our house. Mom and I were sitting at the kitchen table when I heard footsteps. There, at the door, stood Frank Townsend, Dad's postmaster and great friend for many years. So we all sat down at the table and began to tell stories.At one point Frank looked at me with tears in his eyes. " What are we going to do about the letters this Christmas?" he asked."The letters?"'I guess you never knew. ""Knew what?"" Remember, when you were a kid and you used to put your letters to Santa in those green and red boxes on Main Street? It was your dad who answered all those letters every year. "I just sat there with tears in my eyes. It wasn’t hard for me to imagine Dad sitting at the old table in our basement reading those letters and answering each one. I have since spoken with several of the people who received Christmas letters during their childhood, and they told me how amazed they were that Santa had known so much about their homes and families.For me, just knowing that story about my father was thegift of a lifetime.55. ____________________________ I t can be inferred from the passage that the writer regarded his travels with Dad us_____.A. great chances to help other peopleB. happy occasions to play with baby chickensC. exciting experience* with a lot of funD. good opportunities to enjoy chocolate cookies56. ______________________ The writer provides the detail about the businessman to show that_____.A. Dad had a strong sense of dutyB. Dad was an honest and reliable manC. Dad had a strong sense of honorD. Dad was a kind and generous man57. According to the passage, which of the following impressed the writer most?A. Dad read letters for a blind lady for years.B. Dad paid for the stamps for a young girl.C. Dad delivered some eggs to Marian.D. Dad answered children's Christmas letters every year.58. The method the writer uses to develop Paragraph 4 is______.A. offering analysesB. providing explanationsC. giving examplesD. making comparisons59. What surprised the children most when they received letters in reply from Santa Claus every year?A. Santa Claus lived alone in the cold North Pole.B. Santa Claus answered all their letters every year.C. Santa Claus had unique mailboxes for the children.D. Santa Claus had so much information about their families.60. Which of the following is the best title for the passage?A. The MailB. Christmas LettersC Special Mailboxes D. Memorable Travels第二节下面文章中有5处（第61~65题）需要添加小标题，请从以下选项中选出符合各段意思的小标题，并在答题卡上将该项涂黑,选项中一项为多余选项.A. S low Down Your LifeB. Escape Now and ThenC. S eparate Your ActionsD. A llow Yourself to Be WeakE. Relieve Pressure by Firmly Saying " No"F. Stop Expecting Everything to Be PerfectHow to Simplify Your LifeLess is more. This is why we say: reduce things by half instead of doubling them, get rid of junk instead of piling it up, relax instead of stressing, slow down instead of speeding up. Apply these principles in your everyday life in a conscious way. You will then find yourself well along on your journey to simplification.61. _When you concentrate on one task, you find you have energy that you didn't even know you had. Just imagine: you arc at a fair and you have to carry two heavy pigs over 100 yards. If you keep grabbing one and then the other, it will take forever, because one of them will keep slipping out from under your arm and running off. But if you tie one pig in a place, pick up the other, gather all your strength and make a dash for the finish line, pause for a moment, run bock and get the other one, and with great determination, carry the second pig to the finish line, then you can be sure of succcss.62. ______The pressure at work is on the increase in all occupations. In the modem nuclear family, the expectations that formerly would have been shared amongall the relatives are now concentrated on the individual partner.If you have the feeling that 24 hours per day are not enough for nil the things you need to do, then it’s not because the day has too few hours, but because you have too many activities. A simple fact that overloaded people often tend to forget. The solution is equally simple; refuse to accept so many work assignments in your private life or your working life.63. _“I can handle stress” is regarded as a pos itive statement in the world of work. People who can handle stress are given more and more to cope with —until one day they break.Pay careful attention to the signs that tell you that you arc under more stress than you can cope with. These signals came from various areas of life. You become ill, or your work efficiency decreases.If you have any of these symptoms, change your life goals and decrease your tolerance of stress. Say quite openly, "I can't manage that. "64. _"If only I were slimmer, more beautiful, richer, moreclever, then I would be happier. " This is a dream that makes a lot of people ill, depressed, and unhappy. Life has its flaws, defects, comets, and edges. Only those who accept this reality can lead a really full life.Of course there are activities in which errors are dangerous; driving a car, crossing the road. But life doesn't consist entirely of these things. In among them there is a lot of room for small and large mistakes.65.Successful people ail have their own places where they can withdraw in order to work. Find out which places improve your creativity. For me it's the train. When I know that I'm going to be traveling for four hours without phone calls and people knocking on my door, I find my mind is free and I can read or write complex articles. There can be problems working on the train, of course: if the person sitting opposite you keeps talking away, or if train trips make you tired (some people fall asleep after a few miles).（非选择题，共40分）第三部分:写作（共二节,满分40分）第一节:短文改错（共10小题；每小题1分，满分10分）。

2012年普通高等学校招生全国统一考试（浙江卷）数学（理科）选择题部分（共50分）注意事项：i •答题前，考生务必将自己的姓名、准考证号用黑色字迹的签字笔或钢笔分别填写在试卷和答题纸规定的位置上.2 •每小题选岀答案后，用2B铅笔把答题纸上对应题目的答案标号涂黑，如需改动，用橡皮擦干净后，再选涂其它答案标号。

不能答在试题卷上参考公式：如果事件A，B互斥，那么柱体的体积公式如果事件A，B相互独立，那么其中S表示柱体的底面积，h表示柱体的高P A B =P A P B 锥体的体积公式1如果事件A在一次试验中发生的概率是p，那么V =丄Sh3n次独立重复试验中事件A恰好发生k次的概率其中S表示锥体的底面积，h表示锥体的高P n（k ）=C：p k（1 —p厂，（k =0,1,2,川，n ）球的表面积公式台体的体积公式S =4 T R21 ________V =—h（s +J SS T +S2）球的体积公式3其中S,S2分别表示台体的上底、下底面积，V =- T R33h表示台体的高其中R表示球的半径一、选择题：本大题共10小题，每小题5分，共50分•在每小题给出的四个选项中，只有一项是符合题目要求的.1 •设集合A={x|1 v x v 4}，B={x|x2—2x—3< 0}，贝U A n （C R B）=A. （1，4）B. （3，4）C. （1，3）D. （1，2）【解析】A= （1，4），B= （—3，1），则A n （C R B） = （1，4）.【答案】A2. 已知i是虚数单位，则3+i=1 -iA. 1-2iB . 2-iC . 2+ iD . 1 + 2i【解析】3+i = 3+i 1+i=匕=1 + 2i .1 _i2 2【答案】D3. 设a，R,贝厂'a= 1”是“直线1仁ax + 2y- 1 = 0与直线12：x + (a+1)y + 4= 0 平行”的A. 充分不必要条件B.必要不充分条件C.充分必要条件D.既不充分也不必要条件【解析】当a= 1时，直线11：x+ 2y- 1 = 0与直线12：x + 2y + 4 =0显然平行；若直线11与直线12平行，则有：？二丄，解之得：a1 a +1=1or a=- 2 .所以为充分不必要条件.【答案】A4. 把函数y= cos2x+ 1的图像上所有点的横坐标伸长到原来的2倍(纵坐标不变)，然后向左平移1个单位长度，再向下平移1个单位长度，得到的图像是【解析】把函数y= cos2x+ 1的图像上所有点的横坐标伸长到原来的2倍(纵坐标不变)得：屮=cos x+ 1,向左平移1个单位长度得：y2= cos( x —1) + 1,再向下平移1个单位长度得：y3= cos( x —1).令x= 0,得：y3>0; x = - 1，得：y3 = 0;观察即得答案.【答案】B5. 设a, b是两个非零向量.A. 若| a+ b| = |a| - | b|，则a丄bB. 若a丄b,则| a+ b| = | a| - | b|C. 若| a+ b| = | a| —| b|，则存在实数入，使得a=入bD. 若存在实数入，使得a= X b,则| a+ b| = | a| —| b|【解析】利用排除法可得选项C是正确的，v |a+ b| = |a| —| b| , 则a, b共线，即存在实数X ,使得a= X b.如选项A：| a+ b| = | a| —| b|时，a, b可为异向的共线向量；选项B：若a丄b,由正方形得| a+ b| = | a| —| b|不成立；选项D：若存在实数X，使得a= X b, a, b可为同向的共线向量，此时显然| a + b| = | a| —| b|不成立.【答案】C6. 若从1, 2, 2，…，9这9个整数中同时取4个不同的数，其和为偶数，则不同的取法共有A. 60 种B. 63 种C. 65 种D. 66 种【解析】1, 2, 2,…，9这9个整数中有5个奇数，4个偶数.要想同时取4个不同的数其和为偶数，则取法有：4个都是偶数：1种；2个偶数，2个奇数：C2C：=6O种；4个都是奇数：C； = 5种.•••不同的取法共有66种.【答案】D7. 设S是公差为d(d z0)的无穷等差数列｛a n｝的前n项和，则下列命题错误的是• •A.若d v 0,则数列｛S｝有最大项B. 若数列｛S｝有最大项，则d v 0C. 若数列｛S｝是递增数列，则对任意的n N*，均有S>0D. 若对任意的n N*，均有S>0,则数列｛S｝是递增数列【解析】选项C显然是错的，举出反例：一1, 0, 1, 2, 3,….满足数列｛S｝是递增数列，但是S n>0不成立.【答案】C是虚轴的端点，直线F1B与C的两条渐近线分别交于P, Q两点，线段PQ的垂直平分线与x轴交于点M若|MF| _ L.F1FK则C的离心率是A. 」3 2C. 2D. ,3_ b；(x+c)，得：，竿).二直线MN为：y—bc b c +a c +ay_ _ _xL a_- -(x—旦),c c a3令y_ 0 得：X M= # 2.又T | MF| _ I F1F2I _2c,—3c_xc -a解之得：e2=Z」，即e_^ .a a 2， 28.如图，F i, F2分别是双曲线C:2 2:一爲=1( a, b>0)的左右焦点，B a b【解析】如图：| OB = b, | 0F| = c. 直线PQ为：y = b(x+ c)，两条渐近线为: c 二k pQ_ b, k MN_—-.c ci b y_ (x+ c)c，得:I b 'y__ xi ay=ax. 由3cM_ --- 2 ,c a(第8题图)【答案】B9.设a>0, b>0.A. 若2a 2a =2b 3b，贝y a> bB. 若2a 2a =2b 3b，贝y av bC. 若2a _2a =2b _3b，贝y a> bD. 若2a _2a =2b _3b，则a v b【解析】若2a 2a =2b 3b ,必有2a 2a . 2b - 2b .构造函数:f x ]=2- 2x , 则「x i=2x l n22.0恒成立，故有函数f x[=2x2x在X > 0上单调递增，即a>b成立.其余选项用同样方法排除.【答案】A10.已知矩形ABCD AB= 1, BC=© .将A ABD沿矩形的对角线BD所在的直线进行翻着，在翻着过程中，A. 存在某个位置，使得直线AC与直线BD垂直B. 存在某个位置，使得直线AB与直线CD垂直C. 存在某个位置，使得直线AD与直线BC垂直D. 对任意位置，三直线“ AC与BD, “AB与CD, “AD与BC均不垂直【解析】最简单的方法是取一长方形动手按照其要求进行翻着，观察在翻着过程，即可知选项C是正确的.【答案】C绝密★考试结束前2012年普通高等学校招生全国同一考试（浙江卷）数学（理科）非选择题部分（共100分）注意事项：1•用黑色字迹的签字笔或钢笔将答案写在答题纸上，不能答在试题卷上2 •在答题纸上作图，可先使用28分.11.已知某三棱锥的三视图 示，则该三棱锥的体积等于 ____________ cm i .【解析】观察三视图知该三棱锥的底面为一直角三角形，右侧面也是一直角三角形.故体积等于* 3 1 2 3“. 【答案】1值是 4 513.设公比为q (q >0)的等比数列｛ a n ｝的前n 戈—退H 为｛S ｝.若5 =3& +2 , S4=3a 4 +2，贝卩 q = ________________ .【解析】将S2-3a 2 2 , S 4 =3a 4 2两个式子全部转化成用a , q表示的二、填空题：本大题共 12 .若程T 1i23 4 5 67小题，每小题4分，2B 铅笔，确定后必须使用黑色字迹的签字笔或钢笔描黑幵始【解析】T , i 关系如下图: 【答案】i 120式子.即印:印:鬥2 3 3 3 ,两式作差得：a1q^Fa1q^3a1q(q^1),即：Q +ai^ba1q +a1q =3ag +2 72q -q - 3= 0,解之得：q=2or q--1(舍去).【答案】2214 .若将函数f x =X5表示为其中a。

2012年普通高等学校招生全国统一考试（浙江卷）理科综合测试（物理）一．单项选择部分(每题6分)14．如图所示，与水平面夹角为30°的固定斜面上有一质量m=1.0 kg的物体。

细绳的一端与物体相连，另一端经摩擦不计的定滑轮与固定的弹簧秤相连．物体静止在斜面上，弹簧秤的示数为4.9 N．关于物体受力的判断(取g=9.8 m/s2)，下列说法正确的是()A．斜面对物体的摩擦力大小为零B．斜面对物体的摩擦力大小为4.9 N，方向竖直向上C．斜面对物体的支持力大小为4.9 3 N，方向竖直向上D．斜面对物体的支持力大小为4.9 N，方向垂直斜面向上【答案】A15．如图所示，在火星与木星轨道之间有一小行星带．假设该带中的小行星只受到太阳的引力，并绕太阳做匀速圆周运动。

下列说法正确的是()A．太阳对各小行星的引力相同B．各小行星绕太阳运动的周期均小于一年C．小行星带内侧小行星的向心加速度值大于外侧小行星的向心加速度值D．小行星带内各小行星圆周运动的线速度值大于地球公转的线速度值【答案】C16．用手握住较长软绳的一端连续上下抖动，形成一列简谐横波。

某一时刻的波形如图所示，绳上a、b 两质点均处于波峰位置。

下列说法正确的是()A．a、b两点之间的距离为半个波长B．a、b两点振动开始时刻相差半个周期C．b点完成全振动次数比a点多一次D．b点完成全振动次数比a点少一次【答案】D17．功率为10 W的发光二极管(LED灯)的亮度与功率为60 W的白炽灯相当。

根据国家节能战略，2016年前普通白炽灯应被淘汰。

假设每户家庭有2只60 W的白炽灯，均用10 W的LED灯替代，估算出全国一年节省的电能最接近()A．8×108 kW·h B．8×1010 kW·hC．8×1011 kW·h D．8×1013 kW·h【答案】B18．由光滑细管组成的轨道如图所示，其中AB段和BC段是半径为R的四分之一圆弧，轨道固定在竖直平面内。

2012年浙江高考英语试题(选择题部分共80分）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）从每题所给的A、B、C、D 四个选项中，选出可以填入空白处的最佳选项，并在答题卡上将该项涂黑。

1. ----- Is there anything else to discuss?------ _________, I guess.A. Not at allB. No ,that‟s allC. Yes , I …m sureD. Yes , of course2. The development of industry has been _______ gradual process throughout______human existence from stone tools to modern technology.A, / , the B, the , a C, a, / D, a, a3. No matter how bright a talker you are , there are times when it …s better ______ silent.A, remain B, be remaining C, having remained D, to remain4. I made a promise to myself _______ this year, my first year in high school , would be different.A, whether B, what C, that D, how5. Studying Wendy‟s menu , I found that many of the items are similar to ______ of McDonald‟s .A, those B, ones C, any D, all6. _______ all the animals I 've ever had ,those two dogs are the most sensitive to spoken word.A. FromB. OfC. ForD. With7. Your _______ as a student will be excellent if you develop a habit of reflecting on how you learn. A, opinion B, growth C, performance D, character8. I think Tom, as the head of a big department, should either study regualrly or ______ his job.A, quits B, to quit C, quitting D, quit9. We live in an age ________ more information is available with great ease than ever before.A, why B, when C, to whom D, on which10. The research lacks ________ evidence ,and therefore , its conclusions are doubtful. A, solid B, fierce C, severe D, potential11. “ It‟s such a nice place,” Mother said as she sat at the table______ for customers. A, to be reserved B, having reserved C, reserving D, reserved12. According to scientists, our mental abilities begin to ___ from the age of 27 after reaching the highest level at 22. A, differ B, shrink C, fail D, decline 13. Peter had intended to take a job in business, but ______ that plan after the unpleasant experience in Canada in 2010.A, had abandoned B, abandoned C, abandon D, will abandon14. Brown said he was by no means annoyed; _______ he was glad to be able make himself clearly understood.A, all in all B, for one thing C, on the contrary D, by the way15. Armed with the information you have gathered , you can ________ preparing your business plan. A, set out B, set about C, set off D, set up16. ----- Alvin , are you coming with us?------ I‟d love to , but something unexpected __________.A, has come up B, was coming up C, had come up D, would come up17. Ellen was a painter of birds and nature, _______, for some reason, had withdrawn from all human society. A, which B, who C, where D, whom18. Mike was usually so careful, ________this time he made a small mistake.A, yet B, still C, even D, thus19. Had they known what was coming next, they ________ second thoughts.A, may have B, could have C, must have had D, might have had20. ----- I‟m going to San Francisco for a coup le of days.------ ________, I wish I could get away for a while.A. It doesn‟t matterB. Forget it.C. I really envy youD. I can‟t agree more第二节：完形填空（共20小题；每小题1分，满分20分）阅读下面短文，掌握其大意，然后从第21—40 各题所给的四个选项（A、B、C 和D）中，选出最佳选项，并在答题卷上将该项涂黑。

第一部分：英语知识运用（共两节，满分30分）第一节：单项填空从每题所给的A、B、C、D 四个选项中，选出可以填入空白处的最佳选项，并在答题卡上将该项涂黑。

1. ----- Is there anything else to discuss?------ _________, I guess.A. Not at allB. No ,that‟s allC. Yes , I …m sureD. Yes , of course2. The development of industry has been _______ gradual process throughout ______human existence from stone tools to modern technology. A, / , the B, the , a C, a, / D, a, a3. No matter how bright a talker you are , there are times when it …s better ______ silent.A, remain B, be remaining C, having remained D, to remain4. I made a promise to myself _______ this year, my first year in high school , would be different.A, whether B, what C, that D, how5. Studying Wendy‟s menu , I found that many of the items are si milar to ______ of McDonald‟s .A, those B, ones C, any D, all6. _______ all the animals I‟ve ever had ,those two dogs are the most sensitive to spoken word.A. FromB. OfC. ForD. With7. Your _______ as a student will be excellent if you develop a habit of reflecting on how you learn. A, opinion B, growth C, performance D, character8. I think Tom, as the head of a big department, should either study regualrly or ______ his job.A, quits B, to quit C, quitting D, quit9. We live in an age ________ more information is available with great ease than ever before.A, why B, when C, to whom D, on which10. The research lacks ________ evidence ,and therefore , its conclusions are doubtful.A, solid B, fierce C, severe D, potential11. “ It‟s such a nice place,” Mother said as she sat at the table______ for customers.A, to be reserved B, having reserved C, reserving D, reserved12. According to scientists, our mental abilities begin to ___ from the age of 27 after reaching the highest level at 22. A, differ B, shrink C, fail D, decline13. Peter had intended to take a job in business, but ______ that plan after the unpleasant experience in Canada in 2010.A, had abandoned B, abandoned C, abandon D, will abandon14. Brown said he was by no means annoyed; _______ he was glad to be able make himself clearly understood.A, all in all B, for one thing C, on the contrary D, by the way15. Armed with the information you have gathered , you can ________ preparing your business plan. A, set out B, set about C, set off D, set up第二节：完形填空“Just sign here, sir,” the deliveryman said as he handed Oscar Reyna a package.The package consisted of a long , narrow box ___21____ wrapped in brown paper. __22___ the box, Oscar saw an umbrella inside——a very old one with a beautifully carved handle. ____23___He had not seen it in more than 20 years, he recognized it ____24____.Oscar was 16 when he first saw the ___25____ umbrella. He had gone to a concert with his grandparents. As they were leaving, he noticed an umbrella on an empty seat. Impressed by its ____26____, Oscar felt a strong desire to find its ___27____.Oscar ___28____ the manager to look in the record of advance ticket sales. Just as he thought, a name matched the seat ____29___ Oscar had found the umbrella . The name was Mrs. Katie O‟brien.Oscar talked his grandparents into going by Mrs O‟brien‟s ___30____ on their way home. He rang the bell, the door opened, and an elderly woman appeared. “May I __31___ you ? “she asked.“I‟d like to return it if its yours,” Oscar said, ____32____ the umbrella as if presenting a ___33___ that had long been wished for.“Why , yes! it‟s mine, “replied Mrs. Brien with a ___34____ smile and sh ining eyes. “ It was given to by my father years ago. Thank you so much for returning it. May I offer you a reward for your ____35____ ? ““ No, ma‟am , “ he said “ my grandmother says a good deed is its own reward.”“ Well, that …s ____36_____ my fath er used to say. What is your name , Young man ?”Years later, Oscar was staring at the finely carved handle of the umbrella as he remember Mrs. O‟ Brien . It was in perfect condition, considering how__37__ it was. Why had it arrived here today?As i f ___38____, a note fell from the paper. It read: Mrs O‟brien wanted you to ___39___ this umbrella as a present for a kind, __40___gesture long ago.21. A. strictly B. carefully C. roughly D. casually22. A. opening B. seizing C. observing D. searching23. A. After B. When C. Since D. Although24. A. clearly B. fully C. immediately D. suddenly25. A. average B. unusual C. plain D. typical26. A. beauty B. shape C. origin D. history27. A. designer B. seller C. user D. owner28. A. convinced B. forced C. encouraged D. advised29. A. until B. before C. which D. where30. A. family B. theater C. house D. neighborhood31. A. invite B. help C. bother D. know32. A. putting up B. turning out C. picking up D. holding out33. A. chance B. fact C. gift D. result34. A. wide B. confident C. proud D. shy35. A. patience B. kindness C. courage D. determination36. A. obviously B. naturally C. exactly D. probably37. A. old B. rare C. precious D. nice38. A. in contrast B. in return C. in exchange D. in answer39. A. possess B. accept C. carry D. value40. A. attractive B. significant C. unselfish D. sympathetic第二部分：阅读理解第一节：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，并在答题卷上将该选项标号涂黑。

2012年浙江高考英语试题选择题部分（共80分）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 四个选项中，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。

1. ----- Is there anything else to discuss?------ _________, I guess.A. Not at allB. No ,that's allC. Yes , I 'm sureD. Yes , of course2. The development of industry has been _______ gradual process throughout ______human existence from stone tools to modern technology.A．不填；the B．the；a C．a；不填D．a；a3．No matter how bright a talker you are , there are times when it 's better ______ silent. A．remain B, be remaining C, having remained D, to remain4. I made a promise to myself _______ this year, my first year in high school , would be different. A, whether B, what C, that D, how5. Studying Wendy's menu , I found that many of the items are similar to ______ of McDonald's . A, those B, ones C, any D, all6. _______ all the animals I 've ever had ,those two dogs are the most sensitive to the spoken word..A. FromB. OfC. ForD. With7. Your _______ as a student will be excellent if you develop a habit of reflecting on how you learn.A, opinion B, growth C, performance D, character8. I think Tom, as the head of a big department, should either study regualrly or ______ his job. A, quits B, to quit C, quitting D, quit9. We live in an age ________ more information is available with great ease than ever before. A, why B, when C, to whom D, on which10. The research lacks ________ evidence ,and therefore , its conclusions are doubtful.A, solid B, fierce C, severe D, potential11. " It's such a nice place," Mother said as she sat at the table______ for customers.A, to be reserved B, having reserved C, reserving D, reserved12. According to scientists, our mental abilities begin to ___ from the age of 27 after reaching thehighest level at 22.A, differ B, shrink C, fail D, decline13. Peter had intended to take a job in business, but ______ that plan after the unpleasantexperience in Canada in 2010.A, had abandoned B, abandoned C, abandon D, will abandon14. Brown said he was by no means annoyed; _______ he was glad to be able make himself clearly understood.A, all in all B, for one thing C, on the contrary D, by the way15. Armed with the information you have gathered , you can ________ preparing your business plan. A, set out B, set about C, set off D, set up16. ----- Alvin , are you coming with us?------ I'd love to , but something unexpected __________.A, has come up B, was coming up C, had come up D, would come up17. Ellen was a painter of birds and nature, _______, for some reason , had withdrawn from all human society. A, which B, who C, where D, whom18. Mike was usually so careful, ________this time he made a small mistake.A, yet B, still C, even D, thus19. Had they known what was coming next, they ________ second thoughts.A, may have B, could have C, must have had D, might have had20. ----- I'm going to San Francisco for a couple of days .------ ________, I wish I could get away for a while.A. It doesn't matterB. Forget it.C. I really envy youD. I can't agree more第二节：完形填空（共20小题；每小题1分，满分20分）阅读下面短文，掌握其大意，然后从第21—40 各题所给的四个选项（A、B、C 和D）中，选出最佳选项，并在答题卷上将该项涂黑。

2012年普通高等学校夏季招生全国统一考试数学文史类(浙江卷)本试题卷分选择题和非选择题两部分．满分150分，考试时间120分钟．选择题部分(共50分)参考公式： 球的表面积公式 S ＝4πR 2球的体积公式 V ＝43πR 3 其中R 表示球的半径 锥体的体积公式 V ＝13Sh 其中S 表示锥体的底面积，h 表示锥体的高 柱体的体积公式 V ＝Sh其中S 表示柱体的底面积，h 表示柱体的高 台体的体积公式V ＝13h (S 1＋S 2) 其中S 1，S 2分别表示台体的上、下底面积． h 表示台体的高如果事件A ，B 互斥，那么 P (A ＋B )＝P (A )＋P (B )如果事件A 在一次试验中发生的概率是P ，那么n 次独立重复试验中事件A 恰好发生k次的概率P n (k )＝C k n P k (1－P )n －k(k ＝0,1,2，…，n ) 一、选择题：本大题共10小题，每小题5分，共50分．在每小题给出的四个选项中，只有一项是符合题目要求的．1．设全集U ＝{1,2,3,4,5,6}，集合P ＝{1,2,3,4}，Q ＝{3,4,5}，则P ∩(U Q )＝()A ．{1,2,3,4,6}B ．{1,2,3,4,5}C ．{1,2,5}D ．{1,2} 2．已知i 是虚数单位，则3i1i+-( ) A ．1－2i B ．2－i C ．2＋i D ．1＋2i3．已知某三棱锥的三视图(单位：cm)如图所示，则该三棱锥的体积是( )A．1 cm3B．2 cm3C．3 cm3D．6 cm34．设a∈R，则“a＝1”是“直线l1：ax＋2y－1＝0与直线l2：x＋(a＋1)y＋4＝0平行”的()A．充分不必要条件B．必要不充分条件C．充分必要条件D．既不充分也不必要条件5．设l是直线，α，β是两个不同的平面，()A．若l∥α，l∥β，则α∥βB．若l∥α，l⊥β，则α⊥βC．若α⊥β，l⊥α，则l⊥βD．若α⊥β，l∥α，则l⊥β6．把函数y＝cos2x＋1的图象上所有点的横坐标伸长到原来的2倍(纵坐标不变)，然后向左平移1个单位长度，再向下平移1个单位长度，得到的图象是()7．设a，b是两个非零向量，()A．若|a＋b|＝|a|－|b|，则a⊥bB．若a⊥b，则|a＋b|＝|a|－|b|C．若|a＋b|＝|a|－|b|，则存在实数λ，使得b＝λaD．若存在实数λ，使得b＝λa，则|a＋b|＝|a|－|b|8．如图，中心均为原点O的双曲线与椭圆有公共焦点，M，N是双曲线的两顶点．若M，O，N将椭圆长轴四等分，则双曲线与椭圆的离心率的比值是()A ．3B ．2 CD9．若正数x ，y 满足x ＋3y ＝5xy ，则3x ＋4y 的最小值是( ) A ．245 B ．285C ．5D ．6 10．设a ＞0，b ＞0，e 是自然对数的底数( ) A ．若e a ＋2a ＝e b ＋3b ，则a ＞b B ．若e a ＋2a ＝e b ＋3b ，则a ＜b C ．若e a －2a ＝e b －3b ，则a ＞b D ．若e a －2a ＝e b －3b ，则a ＜b非选择题部分(共100分)二、填空题：本大题共7小题，每小题4分，共28分．11．某个年级有男生560人，女生420人，用分层抽样的方法从该年级全体学生中抽取一个容量为280的样本，则此样本中男生人数为__________．12．从边长为1的正方形的中心和顶点这五点中，随机(等可能)取两点，则该两点间的__________． 13．若某程序框图如图所示，则该程序运行后输出的值是__________．14．设z ＝x ＋2y ，其中实数x ，y 满足10,20,0,0,x y x y x y -+≥⎧⎪+-≤⎪⎨≥⎪⎪≥⎩则z 的取值范围是__________．15．在△ABC 中，M 是BC 的中点，AM ＝3，BC ＝10，则AB AC ⋅=__________．16．设函数f (x )是定义在R 上的周期为2的偶函数，当x ∈［0,1］时，f (x )＝x ＋1，则3()2f =__________． 17．定义：曲线C 上的点到直线l 的距离的最小值称为曲线C 到直线l 的距离．已知曲线C 1：y ＝x 2＋a 到直线l ：y ＝x 的距离等于曲线C 2：x 2＋(y ＋4)2＝2到直线l ：y ＝x 的距离，则实数a ＝__________．三、解答题：本大题共5小题，共72分．解答应写出文字说明、证明过程或演算步骤．18．在△ABC中，内角A，B，C的对边分别为a，b，c，且b sin Acos B．(1)求角B的大小；(2)若b＝3，sin C＝2sin A，求a，c的值．19．已知数列{a n}的前n项和为S n，且S n＝2n2＋n，n∈N*，数列{b n}满足a n＝4log2b n ＋3，n∈N*．(1)求a n，b n；(2)求数列{a n·b n}的前n项和T n．20．如图，在侧棱垂直底面的四棱柱ABCD－A1B1C1D1中，AD∥BC，AD⊥AB，AB=，AD=2，BC=4，AA1=2，E是DD1的中点，F是平面B1C1E与直线AA1的交点．(1)证明：①EF∥A1D1；②BA1⊥平面B1C1EF；(2)求BC1与平面B1C1EF所成的角的正弦值．21．已知a∈R，函数f(x)＝4x3－2ax＋a．(1)求f(x)的单调区间；(2)证明：当0≤x≤1时，f(x)＋|2－a|＞0．22．如图，在直角坐标系xOy中，点P(1，12)到抛物线C：y2=2px(p＞0)的准线的距离为54．点M(t,1)是C上的定点，A，B是C上的两动点，且线段AB被直线OM平分．(1)求p，t的值；(2)求△ABP面积的最大值．【自选模块】3．“数学史与不等式选讲”模块(10分)已知a∈R，设关于x的不等式|2x－a|＋|x＋3|≥2x＋4的解集为A．(1)若a＝1，求A；(2)若A＝R，求a的取值范围．4．“矩阵与变换和坐标系与参数方程”模块(10分)在直角坐标系xOy中，设倾斜角为α的直线l：2cossinx ty tαα⎧⎪⎨⎪⎩＝＋，(t为参数)与曲线C：2cossinx yθθ⎧⎨⎩＝，＝(θ为参数)相交于不同两点A，B．(1)若π3α=，求线段AB中点M的坐标；(2)若|P A|·|PB|＝|OP|2，其中P(2，求直线l的斜率．1． D 由已知得，U Q ＝{1,2,6}，所以P ∩(U Q )＝{1,2}．2．D ∵23i (3i)(1i)3+3i+i+i 24i12i 1i (1i)(1i)22++++====+--+，∴选D ．3．A 由三视图得，该三棱锥底面面积S ＝12×2×1＝1(cm 2)，高为3 cm ，由体积公式，得V ＝13Sh ＝13×1×3＝1(cm 3)． 4． A l 1与l 2平行的充要条件为a (a ＋1)＝2×1且a ×4≠1×(－1)，可解得a ＝1或a ＝－2，故a ＝1是l 1∥l 2的充分不必要条件．5．B A 项中由l ∥α，l ∥β不能确定α与β的位置关系，C 项中由α⊥β，l ⊥α可推出l ∥β或l β，D 项由α⊥β，l ∥α不能确定l 与β的位置关系．6． A y ＝cos2x ＋1图象上所有点的横坐标伸长到原来的2倍得y 1＝cos x ＋1，再向左平移1个单位长度得y 2＝cos(x ＋1)＋1，再向下平移1个单位长度得y 3＝cos(x ＋1)，故相应的图象为A 项．7． C 由|a ＋b |＝|a |－|b |两边平方可得，|a |2＋2a ·b ＋|b |2＝|a |2－2|a ||b |＋|b |2，即a ·b ＝－|a ||b |，所以cos 〈a ，b 〉＝－1，即a 与b 反向，根据向量共线定理，知存在实数λ，使得b ＝λa ．8． B 由题意可知椭圆的长轴长2a 1是双曲线实轴长2a 2的2倍，即a 1＝2a 2，而椭圆与双曲线有相同的焦点．故离心率之比为21212ca a c a a ==． 9． C ∵x ＋3y ＝5xy ，∴13155y x+=． ∴3x ＋4y ＝(3x ＋4y )×1＝(3x ＋4y )1355y x ⎛⎫+ ⎪⎝⎭＝3941213555555x y y x +++≥+=， 当且仅当31255x yy x=，即x ＝1，12y =时等号成立．10． A 函数y ＝e x ＋2x 为单调增函数，若e a ＋2a ＝e b ＋2b ，则a ＝b ；若e a ＋2a ＝e b ＋3b ，∴a ＞b ．故选A ．11．答案：160解析：根据分层抽样的特点，此样本中男生人数为560280160560420⨯=+．12．答案：25解析：五点中任取两点的不同取法共有25C 10＝种，而两点之间距离为2的情况有4种，故概率为42105=． 13．答案：1120解析：当i ＝1时，T ＝11＝1，当i ＝2时，12T =，当i ＝3时，11236T ==，当i ＝4时，116424T ==，当i ＝5时，11245120T ==，当i ＝6时，结束循环，输出1120T =．14．答案：［0，72］解析：不等式组表示的可行域如图阴影部分，结合图象知，O 点，C 点分别使目标函数取得最小值、最大值，代入得最小值为0，最大值为72．15．答案：－16解析：AB ·AC ＝(AM ＋MB )·(AM ＋MC )＝2AM ＋AM ·MC ＋AM ·MB ＋MB ·MC ＝|AM |2＋(MB ＋MC )·AM ＋|MB ||MC |cosπ＝9－25＝－16．16．答案：32解析：331113()(2)()()1222222f f f f =-=-==+=．17．答案：94解析：x 2＋(y ＋4)2＝2到直线y ＝x=，所以y ＝x 2＋a 到y ＝x 的y ＝xy ＝x ＋2与y ＝x －2，而抛物线y ＝x 2＋a 开口向上，所以y ＝x 2＋a 与y ＝x ＋2相切，可求得94a =．18．解：(1)由b sin Acos B 及正弦定理sin sin a b A B=，得sin B B ，所以tan B π3B =． (2)由sin C ＝2sin A 及sin sin a c A C=，得c ＝2a ． 由b ＝3及余弦定理b 2＝a 2＋c 2－2ac cos B ， 得9＝a 2＋c 2－ac ．所以a =c =19．解：(1)由S n ＝2n 2＋n ，得当n ＝1时，a 1＝S 1＝3； 当n ≥2时，a n ＝S n －S n －1＝4n －1． 所以a n ＝4n －1，n ∈N *．由4n －1＝a n ＝4log 2b n ＋3，得b n ＝2n －1，n ∈N *． (2)由(1)知a n b n ＝(4n －1)·2n －1，n ∈N *．所以T n ＝3＋7×2＋11×22＋…＋(4n －1)·2n －1,2T n ＝3×2＋7×22＋…＋(4n －5)·2n －1＋(4n －1)·2n ，所以2T n －T n ＝(4n －1)2n －［3＋4(2＋22＋…＋2n －1)］＝(4n －5)2n ＋5． 故T n ＝(4n －5)2n ＋5，n ∈N *．20． (1)证明：①因为C 1B 1∥A 1D 1，C 1B 1平面ADD 1A 1，所以C 1B 1∥平面A 1D 1DA ．又因为平面B 1C 1EF ∩平面A 1D 1DA =EF ， 所以C 1B 1∥EF ，所以A 1D 1∥EF ．②因为BB 1⊥平面A 1B 1C 1D 1，所以BB 1⊥B 1C 1． 又因为B 1C 1⊥B 1A 1，所以B 1C 1⊥平面ABB 1A 1， 所以B 1C 1⊥BA 1．在矩形ABB 1A 1中，F 是AA 1的中点，tan ∠A 1B 1F ＝tan ∠AA 1B ＝2，即∠A 1B 1F ＝∠AA 1B ，故BA 1⊥B 1F ．所以BA 1⊥平面B 1C 1EF ．(2)解：设BA 1与B 1F 交点为H ，连结C 1H ．由(1)知BA 1⊥平面B 1C 1EF ，所以∠BC 1H 是BC 1与面B 1C 1EF 所成的角．在矩形AA 1B 1B 中，AB =，AA 1=2，得BH =在直角△BHC 1中，1BC =，BH =得11sin BH BC H BC ∠==所以BC 1与平面B 1C 1EF所成角的正弦值是15． 21． (1)解：由题意得f ′(x )＝12x 2－2a ．当a ≤0时，f ′(x )≥0恒成立，此时f (x )的单调递增区间为(－∞，＋∞)． 当a ＞0时，f ′(x )＝12(xx， 此时函数f (x )的单调递增区间为(－∞，＋∞)．单调递减区间为［．(2)证明：由于0≤x ≤1，故当a ≤2时，f (x )＋|a －2|＝4x 3－2ax ＋2≥4x 3－4x ＋2． 当a ＞2时，f (x )＋|a －2|＝4x 3＋2a (1－x )－2≥4x 3＋4(1－x )－2＝4x 3－4x ＋2． 设g (x )＝2x 3－2x ＋1,0≤x ≤1， 则g ′(x )＝6x 2－2＝6(xx， 于是所以，g (x )所以当0≤x ≤1时，2x 3－2x ＋1＞0． 故f (x )＋|a －2|≥4x 3－4x ＋2＞0．22．解：(1)由题意知21,51,24pt p =⎧⎪⎨+=⎪⎩得1,21.p t ⎧=⎪⎨⎪=⎩ (2)设A (x 1，y 1)，B (x 2，y 2)，因为OM 过AB 的中点，而且直线OM 的方程为x －y =0，所以设线段AB 的中点为Q (m ，m )．由题意，设直线AB 的斜率为k (k ≠0)．由211222,,y x y x ⎧=⎨=⎩得(y 1－y 2)(y 1＋y 2)＝x 1－x 2，故k ·2m ＝1． 所以直线AB 方程为y －m ＝12m(x －m )，即x －2my ＋2m 2－m ＝0．由22220,,x my m m y x ⎧-+-=⎨=⎩ 消去x ，整理得y 2－2my ＋2m 2－m ＝0，所以∆＝4m －4m 2＞0，y 1＋y 2＝2m ，y 1·y 2＝2m 2－m ． 从而|AB |·|y 1－y 2|设点P 到直线AB 的距离为d ，则2d =．设△ABP 的面积为S ， 则S ＝12|AB |·d ＝|1－2(m －m 2由∆＝4m －4m 2＞0，得0＜m ＜1．令u0＜u ≤12，则S ＝u (1－2u 2)． 设S (u )＝u (1－2u 2)，0＜u ≤12，则S ′(u )＝1－6u 2．由S ′(u )＝0，得1(0,)62u =∈， 所以S (u )max＝()69S =． 故△ABP面积的最大值为9【自选模块】3．解：(1)当x ≤－3时，原不等式化为－3x －2≥2x ＋4，得x ≤－3． 当－3＜x ≤12时，原不等式化为4－x ≥2x ＋4，得－3＜x ≤0． 当12x >时，原不等式化为3x ＋2≥2x ＋4，得x ≥2． 综上，A ＝{x |x ≤0或x ≥2}(2)当x ≤－2时，|2x －a |＋|x ＋3|≥0≥2x ＋4成立． 当x ＞－2时，|2x －a |＋x ＋3＝|2x －a |＋|x ＋3|≥2x ＋4， 得x ≥a ＋1或13a x -≤，所以a ＋1≤－2或113a a -+≤，得a ≤－2． 综上，a 的取值范围为a ≤－2．4．解：设直线l 上的点A ，B 对应参数分别为t 1，t 2．将曲线C 的参数方程化为普通方程24x ＋y 2＝1．(1)当π3α=时，设点M 对应参数为t 0．直线l方程为12,2x t y ⎧=+⎪⎪⎨⎪=⎪⎩(t 为参数)，代入曲线C 的普通方程24x ＋y 2＝1，得13t 2＋56t ＋48＝0，则12028213t t t +==-，所以，点M 的坐标为(1213，．(2)将=2+cos sin x t y t αα⎧⎪⎨⎪⎩，代入曲线C 的普通方程24x ＋y 2＝1，得(cos 2α＋4sin 2α)t 2＋(α＋4cos α)t ＋12＝0，因为|P A |·|PB |＝|t 1t 2|＝2212cos 4sin αα+，|OP |2＝7，所以22127cosα=+，得25tan 16α=．由于∆＝32cosα(α－cos α)＞0，故tan α=． 所以直线l。

2012年浙江高考英语试题选择题部分，（共80分）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）从每题所给的A、B、C、D 四个选项中，选出可以填入空白处的最佳选项，并在答题卡上将该项涂黑。

1. ----- Is there anything else to discuss?------ _________, I guess.A. Not at allB. No ,that’s allC. Yes , I ‘m sureD. Yes , of course2. The development of industry has been _______ gradual process throughout______human existence from stone tools to modern technology.A, / , the B, the , a C, a, / D, a, a3. No matter how bright a talker you are , there are times when it ‘s better ______ silent.A, remain B, be remaining C, having remained D, to remain4. I made a promise to myself _______ this year, my first year in high school , would be different.A, whether B, what C, that D, how5. Studying Wendy’s menu , I found that many of the items are similar to ______ of McDonald’s .A, those B, ones C, any D, all6. _______ all the animals I ‘ve ever had ,those two dogs are the most sensitive to spoken word.A. FromB. OfC. ForD. With7. Your _______ as a student will be excellent if you develop a habit of reflecting on how you learn. A, opinion B, growth C, performance D, character8. I think Tom, as the head of a big department, should either study regualrly or ______ his job.A, quits B, to quit C, quitting D, quit9. We live in an age ________ more information is available with great ease than ever before.A, why B, when C, to whom D, on which10. The research lacks ________ evidence ,and therefore , its conclusions are doubtful. A, solid B, fierce C, severe D, potential11. “ It’s such a nice place,” Mother said as she sat at the table______ for customers.A, to be reserved B, having reserved C, reserving D, reserved12. According to scientists, our mental abilities begin to ___ from the age of 27 after reaching the highest level at 22. A, differ B, shrink C, fail D, decline 13. Peter had intended to take a job in business, but ______ that plan after the unpleasant experience in Canada in 2010.A, had abandoned B, abandoned C, abandon D, will abandon14. Brown said he was by no means annoyed; _______ he was glad to be able make himself clearly understood.A, all in all B, for one thing C, on the contrary D, by the way15. Armed with the information you have gathered , you can ________ preparing your business plan. A, set out B, set about C, set off D, set up16. ----- Alvin , are you coming with us?------ I’d love to , but something unexpected __________.A, has come up B, was coming up C, had come up D, would come up17. Ellen was a painter of birds and nature, _______, for some reason, had withdrawn from all human society. A, which B, who C, where D, whom18. Mike was usually so careful, ________this time he made a small mistake.A, yet B, still C, even D, thus19. Had they known what was coming next, they ________ second thoughts.A, may have B, could have C, must have had D, might have had20. ----- I’m going to San Francisco for a couple of days.------ ________, I wish I could get away for a while.A. It doesn’t matterB. Forget it.C. I really envy youD. I can’t agree more第二节：完形填空（共20小题；每小题1分，满分20分）阅读下面短文，掌握其大意，然后从第21—40 各题所给的四个选项（A、B、C 和D）中，选出最佳选项，并在答题卷上将该项涂黑。

2012年普通高等学校招生全国统一考试（浙江卷）英语选择题部分（共80分)第一部分英语知识运用第一节单项填空1. — Is there anything else to discuss?—_____________. I guess.A. Not at allB. No, that's allC. Yes, I'm sureD. Yea, of course2. The development of industry has been_______ gradual process throughout _______ human existence, from stone tools to modern technology.A. 不填, theB. the; aC. a; 不填D. a; a3. No matter how bright a talker you are, there are times when it's better silent.A. remainB. be remainingC. having remainedD. to remain4. I made a promise to myself______ this year, my first year in high school, would be different.A. whetherB. whatC. thatD. how5. Studying Wendy's menu, I found that many of the items are similar to______ of McDonald's.A. thoseB. onesC. anyD. all6. ___ all the animals I've ever had, these two dogs arc the most sensitive to the spoken word.A. FromB. OfC. ForD. With7. Your ___ as a student will be excellent if you develop a habit of reflecting on how you learn.A. operationB. growthC. performanceD. character8. I think Tom, as the head of a big department, should cither study regularly or______ h is job.A. quitsB. to quitC. quittingD. quit9. We live in an age __ m ore information is available with greater ease than ever before.A. whyB. whenC. to whomD. on which10. The research lacks __ e vidence, and therefore, its conclusions are doubtful.A. solidB. fierceC. severeD. potential11. "It's a such nice place," Mother said as she sat at the table________ for customs.A. to be reservedB. Living reservedC. reservingD. reserved12. According to scientists, our mental abilities begin to______from the age of 27 after reaching the highest level at 22.A. differB. shrinkC. failD. decline13. Peter had intended to take a job in business, but _____ that plan after the unpleasant experience in Canada in 2010.A. had abandonedB. abandonedC. abandonD. will abandon14. Brown said he was by no means annoyed;_____ he was glad to be able to make himself clearlyunderstood.A. all in allB. for one thingC. on the contraryD. by the way15. Armed with the information you have gathered, you can_______ preparing your business plan.A. set outB. set aboutC. set offD. set up16. — Alvin, are you coming with us?— I'd love to, but something unexpected ___ .A. has come upB. was coming upC. had come upD. would come up17. Ellen was a painter of birds and of nature, _____, for some reason, had withdrawn from all humansociety.A. whichB. whoC. whereD. whom18. Mike was usually so careful, ______this time he made a small mistake.A. yetB. stillC. evenD. thus19. Had they known what was coming next, they________ second thoughts.A. may haveB. could haveC. must have hadD. might have had20. — I'm going to San Francisco for a couple of days.—___ . I wish I could get away for a while.A. It doesn't matterB. Forget itC. I really envy youD. I can't agree more第二节完形填空"Just sign here, sir," the deliveryman said as he handed Oscar Reyna a package.The package consisted of a long, narrow box 21 wrapped in brown paper. 22 the box, Oscar saw an umbrella inside — a very old one with a beautifully carved wooden handle. 23 he had not seen it in more than 20 years, he recognized it 24 .Oscar was 16 when he first saw the 25 umbrella. He had gone to a concert with his grandparents. As they were leaving, h noticed an umbrella on an empty seat, impressed by its 26 , Oscar felt a strong desire to find its 27 .Oscar 28 the manager to look in the record of advance ticket sales. Just as he thought, a name matched the seat 29 Oscar had found the umbrella. The name was Mrs. Katie O'Brien.Oscar talked his grandparents into going by Mrs. O'Brien's 30 on their way home. He rang the bell, the door opened, and an elderly woman appeared. "May I 31 you?" she asked."I'd like to return it if it's yours," Oscar said, 32 the umbrella as if presenting a 33 that had long been wished for."Why, yes! It's mine," replied Mrs. O'Brien with a 34 smile and shining eyes. "It was given to me by my father years ago. Thank you so much for returning it. May I offer you a reward for your __35_ ?""No, ma'am," he said, "My grandmother says that a good deed is its own reward. ""Well, that's 36 what my father used to say. What is your name, young man?"Years later Oscar was staring at the finely carved handle of the umbrella as he remembered Mrs. O'Brien. It was in perfect condition, considering how 37 it was. Why had it arrived here today?As if 38 , a note fell from the paper. It reads: Mrs. O'Brien wanted to 39 this umbrella as a present for a kind, 40. gesture long ago.21. A. strictly B. carefully C. roughly D. casually22. A. Opening B. Seizing C. Observing D. Searching23. A. After B. When C. Since D. Although24. A. clearly B. fully C. immediately D. suddenly25. A. average B. unusual C. plain D. typical26. A. beauty B. shape C. origin D. history27. A. designer B. seller C. user D. owner28. A. convinced B. forced C. encouraged D. advised29. A. until B. before C. which D. where30. A. family B. theater C. house D. neighborhood31. A. invite B. help C. bother D. know32. A. putting up B. turning out C. picking up D. holding out33. A. chance B. fact C. gift D. result34. A. wide B. confident C. proud D. shy35. A. patience B. kindness C. courage D. determination36. A. obviously B. naturally C. exactly D. probably37. A. old B. rare C. precious D. nice38. A. in contrast B. in return C. in exchange D. in answer39. A. possess B. accept C. carry D. value40. A. attractive B. significant C. unselfish D. sympathetic第二部分阅读理解第一节阅读下列短文,从每题所给四个选项中选出最佳选项,并在答题卡上将该项涂黑.AEaster(复活节) is still a great day for worship, randy in baskets and running around the yard finding eggs, but every year it gets quite a bit worse for bunnies.And no, not because the kids like to pull their ears. The culprit is climate change, and some researchers found that rising temperatures arc having harmful effects on at least five species of rabbit in the US.Take the Lower Keys March rabbit, for instance. An endangered species that lives in the Lower Florida Keys, this species of cottontail is a great swimmer — it lives on the islands! — but it is already severely affected by development and now by rising levels. According to the Center for Biological Diversity, an ocean level rise of only 0. 6 meters will send these guys jumping to higher ground and a 0.9-meter rise would wipe out their habitat (栖息地) completely.The snowshoe hare, on the other hand, has a color issue. Most of these rabbits change their fur color from white in the wintertime to brown in the summer, each designed to give them better cover from predators（捕食者）. As the number of days with snow decreases all across the country, however, more and more bunnies arc being left in white fur during brown dirt days of both fall and spring, making them an easier mark for predators. Researchers know that the color change is controlled by the number of hours of sunlight, but whether the rabbit will be able to adapt quick enough to survive is a big question. The National Wildlife Federation has reported that hunters have noticed their numbers are already markedly down.American pikas or rock rabbits, a relative of rabbits and hares, might be the firs' of these species to go extinct due to climate change. About 7-8 inches long, pikas live high in the cool, damp mountainswest of the Rocky Mountains. As global temperatures rise, they would naturally migrate (迁徙) to higher ground —but they already occupy the mountaintops. They can't go any higher. The National Wildlife Federation reports that they might not be able to stand the new temperatures as their habitat beats up.The volcano rabbit has the same problem. These rabbits live on the slopes of volcanoes in Mexico, and recent studies have shown that the lower range of their habitat has already shifted upward about 700 meters, but there are not suitable plants for them to move higher, so they are stuck in the middle. Scientists are concerned about their populations.Native to the US, pygmy rabbits weigh less than 1 pound and live in the American West. They are believed to be the smallest rabbits in the world. Their habitats have been destroyed by development. Several populations, such as the Columbia Basin pygmy, almost went extinct and were saved by zoo breeding programs. Pygmy rabbits also rely on winter cover by digging tunnels through the snow to escape predators, but lesser snowfall is leaving them exposed.All of this gives new meaning to dressing up in a giant bunny costume this Easter.41 The writer mentions Easter at the beginning of the passage in order to_______.A. show the importance of Easter DayB. introduce the issue about bunniesC. remind people of Easter traditionsD. discuss the relationship between Easter and bunnies42. The word "culprit" ( Paragraph 2) is closest in meaning to______.A. criminalB. judgeC. victimD. producer43. According to the passage, some rabbits can now be easily Uncovered by predators because they_______A. are exposed lo more skillful huntersB. have moved to habitats with fewer plantsC. haven't adapted themselves to climate changeD. can't change their fur color into white in the fall and the spring44, The problem faced by volcano rabbets and rock rabbits is that________.A. both are affected by 1ess snowB. both are affected by rising sea levelsC neither can find enough food 0. neither can migrate to higher places45 Which best describes the writer's tone in the postage?A. Approving.B. Concerned.C. Enthusiastic.D. Doubtful.BBelow is a selection about Guinness（吉尼斯）World Records.Top 6 Unusual Guinness World Records♦Fastest 100 m running on all foursThe 2008 Guinness World Records Day was, according to CWR, their biggest day of record-breaking ever, I- h more than 290.000 people taking put in record attempts in 15 different countries. Kenichi Ito's record attempt was port of this special day. He is just another example of Japanese with "super powers". His "super power" is to run with great speed on all fours. Kenichi Ito ran 100 m on all fours in 18.58 seconds. The Japanese set this record at Setagaya Kuritsu Sogo Undojyo, Tokyo, in 2008.♦Most people inside a soap bubbleThe Discovery Science Center in Santa Ana, Califomia celebrated this year the 15th anniversary of the Bubble (泡泡) Festival. A bubble's math principles and science were presented and demonstrated atthe three-week-long exhibition. The intriguing Bubble Show was also part of the program. Fan Yang and Deni Yang impressed the audience with their awesome skills for bubble making. The Yang family cooperated with the Discovery Science Center to set a new Guinness World Record for mow people inside a scup bubble and they succeeded.The family that has been working with soap bubbles for 27 years created a huge soap bubble and got 118 people inside it. The record was set or. April 4, 2011.♦Longest ears on a dogA bloodhound from Illinois has the longest ears ever measured a dog. The right ear is 13.75 inches long and the left one 13.5 inches. The dog named Tigger earned this title in 2004 and is owned by Christina and Bryan Flessner.Mr. Jeffries is the previous record holder of this title. Each of his ears measured approximately 11. 5 inches long. His grandfather used to hold this amazing world record, but when he died Mr.Jeffries look over.♦Most living generationsDid you ever wonder what is the Guinness World Record for most living generation in one family? Seven is the answer.The ultimate authority on record-breaking mentions on the website that the youngest great-great- great-great grandparent of this family was Augusta Bung "aged 109 years 97 days, followed by her daughter aged 89, her granddaughter aged 70, her great grand-daughter aged 52, her great-great grand-daughter aged 33 and her great-great-great granddaughter aged 15 on the birth of her great-great-great-great grandson on January 21, 1989".♦Most T shirts worn at onceBelieve it or not, there is a record also for this category. Krunoslav Budiseli set a new world record on May 22, 2010 for wearing 245 T-shirts at the same time. The nun from Croatia was officially recognized as the new record bolder by Guinness World Records after he managed to put on 245 different T-shirts in 1ess than two hours. . The T-shirts weighted 68 KG and Budiseli said he began struggling around T-shirt No. 120. He dethroned the Swedish Guinness record holder who wore 238 T-shirts.♦Heaviest pumpkinGuinness World Records confirmed on October 9. 2010 that a gigantic pumpkin （南瓜）grown in Wisconcin was officially the world’s heaviest. It weighed 1,810 pounds 8 ounces and was unveiled by Chris Stevens at the Stillwater Harvest Festival in Minnesota. Stevens' pumpkin was 85 pounds Javier than the previous re I, another huge pumpkin grown in Ohio. The proud farmer said his secret is a precise of rain, cow mature, good soil, sea grass and fish emulsion. Some of the world's heaviest pumpkins, including the record bolder, were on public display at the Bronx Botanical Gardens in New Yost for a dozen days.46. Why is Kenichi Ito described «s a man with a "super power"?A. He set a good example to all Japanese.B. He made record attempts in 15 different countries.C. He set a new record for "Fastest 100 m running on all fours".D. He participated in the 2008 Guinness World Records Day activities.47. Jeffries is the name of _ .A. the owner of the dog with the longest earsB. the grandfather of the dog with the longest careC. the present holder of the record for "Longest care on a dog"I), the former holder of the record for " longest care on a dog'48. How many T-shirts had Krunoslav Budiseli put on before he felt it difficult to go on?A. 68.B. 120.C. 238.D. 245.49. According to the given information. which Guinness World Record was most recently set?A. The record for "Most people inside a soup bubble".B. The record for "Most living generations'".C. The record for "Most T-shirts worn at once".D. The record for " Heaviest pumpkin".CTwo friends have an argument that bleaks up their friendship forever, even though neither one can remember how the whole thing got started. Such sad events happen over and over in high schools across the country. In fact, according to an official report on youth violence, "In our country today, the greatest threat to the lives of children and adolescents is not disease or starvation or abandonment, but the terrible reality of violence". Given that this is the case, why aren't students taught to manage conflict the way they are taught to solve math problems, drive cars, or stay physically fit?First of all, students need to realize that conflict is unavoidable. A report on violence among middle school and high school students indicates that most violent incidents between students begin with a relatively minor insult (侮辱). For example, a fight could start over the fact that one student eats a peanut butter sandwich each lunchtime. Laughter over the sandwich can lead to insults, which in turn can lead to violence. The problem isn't in the sandwich, but in the way students deal with the conflict.Once students recognize that conflict is unavoidable, they can practice the golden rule of conflict resolution (解决) stay calm. Once the student feels calmer, he or she should choose words that will calm the other person down as well. Rude words, name-calling, and accusation only add fuel to the emotional fir On the other hand, soft words spoken at a normal sound level can put out the fire before it explodes out of control.After both sides have calmed down, they can use another key strategy for conflict resolution; listening. Listening allows the two sides to understand each other. One person should describe his or her side, and the other person should listen without interrupting. Afterward, the listener can ask non-threatening questions to clarify the speaker's position. Then the two people should change roles.Finally, students need f. consider what they are hearing. This doesn't mean trying to figure out what's wrong with the other person. It means understanding what the real issue is and what both sides are trying to accomplish. For example, a shouting match over a peanut butter sandwich might happen because one person thinks the other person is unwilling to try new things. Students need to ask themselves questions such as these: How did this start? What do I really want? What am I afraid off As the issue becomes clearer, the conflict often simply becomes smaller. Even if it doesn't, careful thought helps both sides figure out a mutual solution.There will always be conflict in schools, but that doesn't mean there needs to be violence. After students in Atlanta started a conflict resolution program, according to Educators for Social Responsibility, "64 percent of the teachers reported less physical violence in the classroom; 75 percent of the teachersreported an increase in student cooperation; and 92 percent of the students felt better about themselves". Learning to resolve conflicts can help students deal with friends,. teachers. parents, bosses, and coworkers. In that way, conflict resolution is a basic life skill that should be taught in schools across the country.50. This article is mainly about _ .A. the lives of school childrenB. the cause of arguments in schoolsC. how to analyze youth violenceD. how to deal with school conflicts51. From Paragraph 2 we can learn that________ .A. violence is more likely to occur at lunchtimeB. a small conflict can lead to violenceC. students tend to lose their temper easilyD. the eating habit of a student is often the cause of a fight52. Why do students need to ask themselves the questions stated in Paragraph 5?A. To find out who to blame.B. To get ready to buy new things.C. To make clear what the real issue is.D. To figure out how to stop the shouting match.53. After the conflict resolution program was started in Atlanta, it was found that______.A. there was a decrease in classroom violenceB. there was less student cooperation in the classroomC. more teachers fell better about themselves in schoolsD. the teacher-student relationship greatly improved54. The writer’s purpose for writing this article is to_______.A. complain about problems in school educationB. teach students different strategies for school lifeC. advocate teaching conflict management in schoolsD. inform teachers of the latest studies on school violenceDAs a young boy, I sometimes traveled the country roads with my dad. He was a rural mill carrier, and on Saturdays he would ask me to go with him. Driving through the countryside was always an adventure: There were animals to see, people to visit, and chocolate cookies if you knew where to stop, and Dad did.In the spring, Dad delivered boxes full of baby chickens, and when 1 was a boy it was such a fun to stick your finger 'through one of the holes of the boxes and let the baby birds peck on your fingers.On Dad' s final day of work, it took him well into the evening to complete his rounds because at least one member from each family was waiting at their mailbox to thank him for his friendship and his years of service. "Two hundred and nineteen mailboxes on my route." he used to say, "and a story at every one. " One lady had no mailbox, so Dad took the mail in to her every day because she was nearly blind. Once inside, he read her mail and helped her pay her bills.Mailboxes were sometimes used for things other than mail. One note left in a mailbox read. "Nat, take these eggs to Marian; she's baking a cake and doesn't have any eggs. " Mailboxes might be buried in the snow, or broken, or lying on the groom:. bat the mail was always delivered On cold days Dad might find one of his customers waiting for him with a cup of hot chocolate. A young wrote letters buthad no stamps, so she left a few button on the envelope in the mailbox; Dad paid for the stamps. One businessman used to leave large amounts of cash in his mailbox for Dad to take to the bank. Once, the amount came to 8 32,000.A dozen years ago, when I traveled back to my hometown on the sad occasion of Dad’s death, the mailboxes along the way reminded me of some of his stories. I thought I knew them all, but that wasn't the case.As I drove home, I noticed two lamp poles, one on each side of the street. When my dad was around, those poles supported wooden boxes about four feet off the ground. One box was painted green and the other was red, and each had a long narrow hole at the top with white lettering: SANTA CLAUS, NORTH POLE. For years children had dropped letters to Santa through those holes.I made a turn at the comer and drove past the post office and across the railroad tracks to our house. Mom and I were sitting at the kitchen table when I heard footsteps. There, at the door, stood Frank Townsend, Dad's postmaster and great friend for many years. So we all sat down at the table and began to tell stories.At one point Frank looked at me with tears in his eyes. " What are we going to do about the letters this Christmas?" he asked."The letters?"'I guess you never knew. ""Knew what?"" Remember, when you were a kid and you used to put your letters to Santa in those green and red boxes on Main Street? It was your dad who answered all those letters every year. "I just sat there with tears in my eyes. It wasn’t hard for me to imagine Dad sitting at the old table in our basement reading those letters and answering each one. I have since spoken with several of the people who received Christmas letters during their childhood, and they told me how amazed they were that Santa had known so much about their homes and families.For me, just knowing that story about my father was the gift of a lifetime.55. It can be inferred from the passage that the writer regarded his travels with Dad us_____.A. great chances to help other peopleB. happy occasions to play with baby chickensC. exciting experience* with a lot of funD. good opportunities to enjoy chocolate cookies56. The writer provides the detail about the businessman to show that_____.A. Dad had a strong sense of dutyB. Dad was an honest and reliable manC. Dad had a strong sense of honorD. Dad was a kind and generous man57. According to the passage, which of the following impressed the writer most?A. Dad read letters for a blind lady for years.B. Dad paid for the stamps for a young girl.C. Dad delivered some eggs to Marian.D. Dad answered children's Christmas letters every year.58. The method the writer uses to develop Paragraph 4 is______.A. offering analysesB. providing explanationsC. giving examplesD. making comparisons59. What surprised the children most when they received letters in reply from Santa Claus every year?A. Santa Claus lived alone in the cold North Pole.B. Santa Claus answered all their letters every year.C. Santa Claus had unique mailboxes for the children.D. Santa Claus had so much information about their families.60. Which of the following is the best title for the passage?A. The MailB. Christmas LettersC Special Mailboxes D. Memorable Travels第二节下面文章中有5处（第61~65题）需要添加小标题，请从以下选项中选出符合各段意思的小标题，并在答题卡上将该项涂黑,选项中一项为多余选项.A. Slow Down Your LifeB. Escape Now and ThenC. Separate Your ActionsD. Allow Yourself to Be WeakE. Relieve Pressure by Firmly Saying " No"F. Stop Expecting Everything to Be PerfectHow to Simplify Your LifeLess is more. This is why we say: reduce things by half instead of doubling them, get rid of junk instead of piling it up, relax instead of stressing, slow down instead of speeding up. Apply these principles in your everyday life in a conscious way. You will then find yourself well along on your journey to simplification.61. ____When you concentrate on one task, you find you have energy that you didn't even know you had. Just imagine: you arc at a fair and you have to carry two heavy pigs over 100 yards. If you keep grabbing one and then the other, it will take forever, because one of them will keep slipping out from under your arm and running off. But if you tie one pig in a place, pick up the other, gather all your strength and make a dash for the finish line, pause for a moment, run bock and get the other one, and with great determination, carry the second pig to the finish line, then you can be sure of succcss.62. ______The pressure at work is on the increase in all occupations. In the modem nuclear family, the expectations that formerly would have been shared among all the relatives are now concentrated on the individual partner.If you have the feeling that 24 hours per day are not enough for nil the things you need to do, then it’s not because the day has too few hours, but because you have too many activities. A simple fact that overloaded people often tend to forget. The solution is equally simple; refuse to accept so many work assignments in your private life or your working life.63. ____“I can handle stress” is regarded as a positive statement in the world of work. People who can handle stress are given more and more to cope with — until one day they break.Pay careful attention to the signs that tell you that you arc under more stress than you can cope with. These signals came from various areas of life. You become ill, or your work efficiency decreases.If you have any of these symptoms, change your life goals and decrease your tolerance of stress. Say quite openly, "I can't manage that. "64. ____"If only I were slimmer, more beautiful, richer, more clever, then I would be happier. " This is a dream that makes a lot of people ill, depressed, and unhappy. Life has its flaws, defects, comets, and edges. Only those who accept this reality can lead a really full life.Of course there are activities in which errors are dangerous; driving a car, crossing the road. But life doesn't consist entirely of these things. In among them there is a lot of room for small and large mistakes.65. ___Successful people ail have their own places where they can withdraw in order to work. Find out which places improve your creativity. For me it's the train. When I know that I'm going to be traveling for four hours without phone calls and people knocking on my door, I find my mind is free and I can read or write complex articles. There can be problems working on the train, of course:if the person sitting opposite you keeps talking away, or if train trips make you tired (some people fall asleep after a few miles).笫三部分写作（共两节，满分50分）第一节短文改错（共10小题；毎小题1分，满分10分）下面短文有10处语言错误，请在有错误的地方增加、删除或修改某个单词。