上海市四区联考(静杨青宝)2013届高三地理二模试卷(含答案)

2012～2013学年第一学期高三年级月考试卷地理(试卷满分 100 分，考试时间为 100 分钟)试卷说明：本试卷分两部分，第一卷为选择题，第二卷为非选择题一、单项选择题（共25题，每小题2分，共50分）北疆阿尔泰山和准噶尔盆地以西山地的河流，常在4—6月发生洪水灾害，其特征为“一日一峰”，白天流量很大，夜晚消退。

回答1～2小题.1．此类洪水的直接补给水源（）A．大气降水 B．积雪融水 C．冰川融水 D．湖泊决堤2．“一日一峰”反映的当地环境特征是（）A．气候大陆性强 B．降水变率大 C．冰雪融化快 D．自然灾害多下图为东非高原基塔莱和多多马的降水资料及两地之间游牧路线示意图。

读图，回答3～4题。

3．图示中的地理事物及游牧活动说法不正确．．．的是A．需要穿越热带草原B．多多马气候为地中海气候C．维多利亚湖为淡水湖D．游牧活动随着雨季南北移动4．游牧至甲地的时间最可能是A．1月B．4月C．7月D．10月某同学对我国某地（地处120°E）每天的日出时间进行了一段时间的持续观测与记录，绘成下图。

完成5～7题。

5. 该同学的观测与记录持续了（）A. 3个月B. 6个月C. 9个月D. 12个月6. 图中a点对应的节日可能是（）A. 端午节B. 劳动节C. 国庆节D. 元宵节7. 在图中b点对应的日期，世界各地可能会发生的现象是（）A. 日本春光明媚B. 北极出现极夜C. 南非华人欢度春节D. 澳大利亚冬雪纷飞下图中的斜线示意晨昏线。

甲地经度为15°E，假定西五区区时为6日0时20分。

据此完成8～9题。

8. 图中甲地时间为（）A. 5日5时20分B. 6日6时20分C. 6日5时20分D. 5日6时20分9. 当日下列城市白昼最长的是（）A. 海口B. 上海C. 广州D. 哈尔滨气候生产潜力是指一个地区光、热、水等要素的数量及其配合协调程度。

下图示意中国东北地区玉米气候生产潜力的空间分布。

静安、杨浦、青浦、宝山区2013届高三地理试卷2013.4本试卷共12页，满分150分。

考试时间120分钟。

全卷包括两大题；第一大题为选择题；第二大题为综合分析题，包括共同部分和选择部分。

考生注意：1.答卷前，务必用圆珠笔或钢笔在试卷和答题纸上将姓名、准考证号等填写清楚，并用2B铅笔在答题纸上正确涂写准考证号码。

2.第一大题由机器阅卷，答案必须全部涂写在答题纸上，考生应将代表正确答案的小方格用2B铅笔涂黑。

注意试题题号与答题卡编号一一对应，不能错位。

答案需要更改时，必须将原选项用橡皮擦去，重新选择。

答案不能涂写在试卷上，涂写在试卷上一律不给分。

3.第二大题采用人工阅卷。

考生应用钢笔或圆珠笔将答案直接写在答题纸上，用铅笔答题或写在试卷上一律不给分。

所有考生应完成本大题共同部分；选择部分分为A、B两组，两组试题分值相同；A组试题适合选择“地球和月球；自然资源与自然灾害”模块的考生，B组试题适合选择“地域分异规律；旅游资源”模块的考生；考生任选一组答题，但不能交叉答题，如果考生交叉答题，只对A组的应答进行评分。

一、选择题（共60分，每小题2分。

每小题只有一个正确答案）（一）美国宇航局的科学家对新一轮太阳风暴提出了警告，认为2013年地球将遭受一场严重的太阳风暴。

1．太阳风暴的形成与黑子活动有关，太阳活动的主要标志和周期是………………（）A．太阳风、黑子，11年 B．太阳风、耀斑，14年C．日珥、耀斑，11年D．黑子、耀斑，11年2．对地球影响最大的太阳活动来自太阳的……………………………………………（） A．日冕层 B．光球层 C．色球层 D．太阳内部圈层3．如果太阳风暴强烈，会对现代导航系统造成干扰，其主要是……………………（）A．高速带电粒子进入大气圈扰乱地球上空对流层B．高速带电粒子进入大气圈扰乱地球磁场，产生磁暴现象C．高速带电粒子进入大气圈，产生极光，干扰导航D．温度高，影响导航设备正常运行（二）近年来，台湾省已成为大陆游客的旅游热点地区。

闵行区2012学年第二学期高三年级质量调研考试地理试卷（考试时间120分钟 满分150分）一、选择题(每小题只有一个正确答案。

每小题2分，共60分)（一）地面沉降是上海最主要的地质灾害。

1966年至2011年的45年间，本市地面累计沉降量约为0.29米。

2005年以来，年平均沉降量保持了逐年减少趋势。

1．造成上海城市地面沉降的主要原因是：①繁忙的地面交通压力 ②高负荷的工程建设 ③超量开采地下水 ④土地过度垦荒 A ．①② B ．②③ C ．③④ D ．①④ 2．为了减缓地面沉降，上海目前最切实可行的措施是： A ．限制修建高层建筑 B ．减少地铁的施工 C ．控制地下水的开采 D ．使用海水回灌（二）2012年11月，我国首份三沙市地图出版，详细标注了南海海域的岛礁名称和位置，再次向世界宣示了我国对南海无可争议的主权。

3．三沙市地图主要囊括了我国南海地区，该图的图幅大小为50cm × 80 cm ，则该图采用的比例尺为：A ．1：600万B ．1：300万C ．1：150万D ．1：30万 4．三沙市地图是在短时间内完成制作和出版的，其使用的地理信息技术主要是： A ．RS B ．GPS C ．GPRS D ．GIS 5．对于三沙市所辖海域，理解不正确的是： A ．是我国重要的海上石油和天然气富集区 B ．是我国重要的专属经济区 C ．是自古以来我国渔民重要的渔场D ．是影响我国的台风的发源地和途经地之一（三）美国宇航局专家表示，2012年南极洲上空臭氧洞是过去二十年里第二最小面积，但面积仍相当于北美洲。

6．臭氧分子吸收紫外线升温发生在大气层中的：A ．对流层B ．平流层C ．中间层D ．热层 7．导致南极洲上空臭氧洞面积缩小的原因可能是：110°120°115°20°15° 10° 5°①全球范围内减少了矿物能源的使用②人类对南极的开发利用导致气候变化③新型无氟制冷剂开始在全球推广使用④大气运动异常使得南极上空大气厚度增加A．①②B．②③C．③④D．①④（四）马尔康县直波村地处川西高原，当地有一座修建于清朝乾隆年间的43米高的八角形建筑，该建筑由石头砌成，经历多次地震仍屹立不倒。

静安区2012学年第二学期高三教学质量检测生命科学试卷2013.4第I卷 (共60分)选择题（每题均只有一个正确答案；每题2分）1.用含放射性15N的硝酸盐给植物施肥，一段时间后，15N可能出现在（）①纤维素②ATP ③脂肪酶④蔗糖A.①③B.②④C.①④D.②③2．下列有关人体血压的升降叙述，正确的是( )A．副交感神经兴奋可使血压升高 B．肾上腺素量增加可使血压下降C．心输出量增多主要升高舒张压 D．血液粘度增加主要升高舒张压3．下列事实能体现细胞全能性的是( )A．诱导小鼠干细胞分化多种组织细胞 B．棉花根尖细胞经诱导形成幼苗C．动物杂交瘤细胞产生单克隆抗体 D．单细胞的DNA在体外大量扩增4．下列关于RNA的叙述，正确的是( )A. 能催化细胞内某些化学反应B. 能改变真核生物的遗传信息C. 能储存细菌大量的遗传信息D. 能携带氨基酸进入细胞核5. 培育能保持亲本高甜度的甜菜苗所采用的主要技术是( )A．组织培养 B．细胞杂交C.显微注射D. 核移植6. 下列关于生长素的叙述，错误．．的是( )A.生长素是最早发现的植物激素B.生长素的分布可受环境影响C.生长素极性运输需要消耗能量D.生长素的合成需要光照条件7. 运动员剧烈运动并大量出汗时，机体通过调节维持内环境相对稳定，其中主要是（）①抗利尿激素分泌增加②抗利尿激素分泌减少③胰岛A细胞的分泌活动增强④胰岛B细胞的分泌活动增强A.①②B. ③④C. ①③D.②④8. 右图为细胞周期中某细胞示意图，此时发生在有丝分裂的（）A．前期 B．中期 C．后期 D．末期9. 右下图表示人体皮下的组织，A、B、C表示细胞外液。

下列叙述错误．．A．结构1的管壁细胞生活的内环境为B和C B．细胞代谢产生酸性物质后，A的pH仍将保持相对稳定C．C的渗透压升高时，下丘脑抗利尿激素分泌将会减少D. 长期蛋白质营养不足会导致A渗透压降低，引起组织水肿10．果树某段树皮环割一圈，环割以下的侧芽生长发育情况是（）A. 最近处侧芽迅速发育成枝 B ．最近处的侧芽停止生长发育 C ．越远的侧芽生长发育越快 D ．所有侧芽的生长发育不改变 11. 在一个大型平底烧瓶湿润的泥沙中插上几枝新鲜的枝条和一支盛有适量NaOH 溶液的试管，烧瓶口紧包一个气球，使烧瓶悬浮在玻璃缸中某一位置（如右图）。

2013届高三模拟考试地理试题（全国卷）及答案制造外包是以外加工方式将生产委托给外部优秀的专业化资源，达到降低成本、分散风险、提高效益、增强竞争力的目的。

读1990年至2008年我国各产品承接制造外包比率（我国某产业承接的美国制造外包率等于我国该产业向美国出口所有中间产品产值占该产业总产出的比重）变化趋势表（单位：％），完成1—3题。

年至2008年，我国承接的美国制造外包比率增幅最大的产业是A.一般机械B.冶金C.纺织D.石油2.我国成为美国制造业外包主要承包国定的主要优势是A.制造业产品质量精良，竞争力强B.制造业体系完善，生产协作条件好C.劳动力资源丰富，且工资水平较低D.由强大的科研体系技术支撑3.美国制造业外包，有利于美国①增加大量就业机会②加强研发与生产定的联系③降低产品生产成本④拓展产品国际市场A.①②B.③④C.①④D.②③读部分年份汛期太湖流域月雨量分布比较图，完成4—5题。

4.一般情况下，太湖流域6月降水多于其他月份的主要原因是6月太湖地区A.多锋面雨B.多气旋雨C.多地形雨D.多台风雨5.太湖流域6、7、8三月降水年际变化大，主要原因是因为A.西太平洋高压强度年际变化大B.盛行西风强度年际变化大C.冰岛低压强度年际变化大D.东北季风强度年际变化大。

读我国局部地区现代气候多年冻土高程（单位：m）等值线分布图，完成6—7题。

6.下列因素对图中多年冻土高程等值线的空间分布特征影响最大的是A.地形B.水分C.热量D.植被7.与图中同纬度内陆相比，台湾岛多年冻土A.因最热月气温差异高程较小B.因降水量季节差异高程较小C.因地面坡向差异高程较大D.因植被类型差异高程较大近些年来，日本粮食自给率一直低于50％，日本农林水产省于2012年8月10公布了日本2011年度（2011年4月1日至2012年3月31日）粮食自给率为39%，与2010年度相同。

但在日本政府高价津贴、消费者高价支付及阻止外来大米进口的背景下，日本稻米却能够实现自给。

上海市闵行区2013届高三4月质量检测（二模）地理试题（考试时间120分钟满分150分）考生注意：1.全卷共12页1-30小题31-59小题为综合分析题。

第二大题综合分析题包括共同部分31-51小题52-59小题A、B 两组A组52-55小题B组56-59小题生须任选一组A组的应答进行评分。

2.请将全部答案写在答题纸上。

3.答题前的姓名、学校填写清楚B铅笔按要求涂写水笔填写。

4.考试后只交答题纸一、选择题(每小题只有一个正确答案。

每小题260分) （一）地面沉降是上海最主要的地质灾害。

1966年至2011年的45年间0.29米。

2005年以来量保持了逐年减少趋势。

1①繁忙的地面交通压力②高负荷的工程建设③超量开采地下水④土地过度垦荒A①② B②③ C③④ D①④2A B少地铁的施工C D（二）2012年11月350cm × 80 cmA1600万 B1300万C1150万 D130万4A RSB GPSC GPRSD GIS5ABCD一（三）美国宇航局专家表示2012年南极洲上空臭氧洞是过去二十年里第二最小面积但面积仍相当于北美洲。

6A B C D7①全球范围内减少了矿物能源的使用②人类对南极的开发利用导致气候变化③新型无氟制冷剂开始在全球推广使用④大气运动异常使得南极上空大气厚度增加A①② B②③ C③④ D①④（四）马尔康县直波村地处川西高原间的43米高的八角形建筑立不倒。

8A BC D9A BC D10A BCD（五）读1990年至2010年江西省与安徽省的城镇人口比重变化情况表%安徽%1990年 20.40 17.84 2000年 27.67 27.81 2010年 44.06 43.011120年来江西省的城市化水平和速度是ABCD12卫星日凌示意图A美 BC缺 D（六）国家广电总局发布的消息称2013年2月25日至3月17日期间节目传输的同步突然出现图像不清晰和短暂雪花现象。

2013年上海地理参考答案一. 选择题(共60分,每小题2分)(一)1.A 2.D (二)3.D 4.A(三)5.C 6.C (四)7.B 8.A(五)9.B 10.C (六)11.D 12.B(七)13.D 14.C (八)15.C 16.D 17.A(九)18.C 19.B 20.D (十)21.A 22.C(十一)23.C 24.A (十二)25.B 26.D(十三)27.C 28.D (十四)29.A 30.B二．综合分析题（共90分）考生回答合理可酌情给分第（十五）至第（十九）题为共同部分（十五）（本题14分）31.3，532.135°W，11°43′N33.16°34′，5634.延长，减慢35.移动方向；向北移动。

该移动会造成南亚地区降水丰富，因为北移的东南信风越过赤道，受地球自转影响，风向右偏形成西南季风，西南季风掠过暖湿的印度洋洋面，带来丰沛的降水。

该移动会导致澳大利亚北部干旱少雨，因为该区在这一期间转为受干燥的东南信风控制，所以干旱少雨。

（十六）（本题16分）36．位于非洲大陆最南部，东、南临印度洋，西濒大西洋。

优：地处两大洋间的航运要冲，西南部的好望角航线是世界上最繁忙的海上通道之一。

（任答一点即可）劣：好望角的航线长，交通运输成本较高；好望角航线航线有风浪危险。

（任答一点即可）37.南非南部沿海有本格拉寒流和厄加勒斯暖流交汇，西部沿海出现甬升流，为西部、南部沿海带来大量营养物质，有利于浮游生物的生长，浮游生物又为鱼类提供了丰富的饵料，吸引大批鱼群。

38.甲地为地中海型农业；农作物以小麦、大麦等冬季谷物为主；规模相对较小；或以抗旱耐热的经济作物为主，如葡萄、油橄榄等（任答一点即可）。

39.分布特点：耕地主要分布在沿海和东北部地区，而西部地区耕地少。

原因：沿海平原地势低平，东北部高原地势平坦，且降水量大多在500毫米以上，适合耕作；而西部地区降水少，荒漠化严重，不适合耕作。

2013.10高三地理模拟考试题（附答案）高三地理模拟考试（完卷时间：90分钟，满分100分）2013.10第I卷选择题(共44分)考生注意：1．答卷前，务必在答题卡上将学校、姓名、考号等填写清楚。

2．第一大题，答案必须全部涂在答题卡上。

考生应将代表正确答案的小方格用2B铅笔涂黑。

注意试题题号与答题卡编号一一对应，不能错位。

3．第二大题，答案应用钢笔或圆珠笔填写在答题卡上。

本卷共11个小题，每小题4分，共44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。

芬瑟岛，是世界上最大的沙岛，总面积1630平方千米（如图1所示）。

岛上分布的沙漠在世界最古老沙漠中面积最大，现在仍然保留着3万年前的风貌；同时还分布着世界上唯一生长在沙地上的雨林植被。

读图1完成1〜2题。

1.关于芬瑟岛上沙漠成因的叙述，正确的是A.是地质变化和海浪堆积作用而形成的B.是全球变暖，降水减少的结果C.因常年受副热带高气压带控制，降水少而形成的D.受热带雨林迁移农业的影响而形成的2.芬瑟岛分布着世界上唯一生长在沙地的雨林植被，其原因可能有①接近热带雨林分布区,雨林植物种子传播到此②沙地土层深厚，利于雨林植物根系向深处延伸③来自海洋的盛行风带来较充沛的降水④沿岸暖流经过，有增温增湿作用A.①②③B①②④C.①③④D.②③④右图为福建省某无人海岛的等高线地形图。

读图回答3-43．图中四地最早能观测到日出的地点是A．①B．②C．③D．④4．若某人于北京时间17:30在①处拍摄日落照片，此时太阳方位应为A．东南方B．西南方C．西北方D．正西方图M－1－2为我国部分地区油菜开花日期等值线示意图，读图完成5～7题。

图M－1－25．1月1日、2月1日和3月1日三条油菜开花日期等值线反映了气候变化的A．高低纬度差异B．距海远近差异C．海拔高度差异D．非地带性6．影响3月1日、4月1日油菜开花日期等值线在江浙一带位置偏南的因素是A．丘陵山地分布B．海陆热力性质C．沿岸暖流影响D．播种时间差异7．6月份油菜开花的分布区域接近A．干旱和半干旱区过渡地带B．农业和牧业交错过渡地带C．暖温带与中温带过渡地带D．季风区与非季风区过渡地带黑河中游流域地处青藏高原和内蒙古高原过渡地带，是甘肃省最重要的商品粮和瓜果蔬菜基地，集中了全流域90%以上的耕地和人口，其生态环境的变化对整个流域的生态环境、经济可持续发展和人民生活水平的提高有着重大而深远的影响。

2013届地理高考模拟试卷地理（问卷）满分：100分时间：90分钟本试题共Ⅱ部分，第Ⅰ部分为单项选择题，共25道小题，每小题2分，合计50分；第Ⅱ部分为综合题，共4道小题，合计50分。

一、单项选择题（25道小题，每小题2分）读某种水体的陆地分布示意图，回答1～2题。

1．该水体主要分布在( )A．盆地和湖泊周围B．沿海与大陆架上C．大陆边缘与岛屿D．高纬区和高山区2．该水体为( )①液态水②固态水③湖泊水④冰川A．①③B．①④C．②③D．②④读某地月平均气温和月平均降水量数据表，完成3～5题。

月份123456月平均气温(℃)－7.3－2.5 5.311.716.720.5月平均降水量(mm)0.50.6 2.5 6.013.011.0月份789101112月平均气温(℃)22.421.015.99.4 1.6－5.7月平均降水量(mm)19.828.517.0 9.0 1.60.53. 表中数据反映了该地水资源具有的特点是()A．空间分布不均 B．季节分配不均C．蒸发微弱 D．气候干旱4．为改善该地水资源短缺的现状，应当()A．禁止耗水产业的发展B．改进耕作和灌溉方式C．建造大型人工湖以改善小气候D．大量开采地下水以弥补地表水的不足5．该地区在农业生产过程中若采取大水漫灌，会导致()A．出现地下水漏斗 B．土壤板结C．土地盐碱化 D．绿洲面积扩大读“某地等高线地形图(单位：米)”，完成6～8题。

6．ab段河流流向是( )A．由东向西B．由东北向西南C．由西南向东北D．由南向北7．野外宿营时一般不能选择①处的主要原因是( )A．处于阴坡，光照条件差B．离河流较远，取水不方便C．位于山脊，风力太大D．处于河谷、邻近陡坡，受山洪和山石威胁8．②处修建了水泥厂，其原料主要来自③处采石场，为了运输原料，计划修建一条公路，比较合理的线路是( )A．甲B．乙C．丙D．丁水足迹是指商品生产与服务所耗费的水资源数量，其中本国生产给本国消费的部分为内部水足迹，他国生产给本国消费的部分为外部水足迹。

2012学年四区联考（静杨青宝）高三年级高考模拟考试数学试卷(理科)2013.04.（满分150分，答题时间120分钟）一、填空题（本大题满分56分）本大题共有14题，考生应在答题纸相应编号的空格内直接填写结果，每个空格填对得4分，否则一律得零分．1．已知全集，集合，则.R U ={}0322>--=x x x A =A C U 2．若复数满足（是虚数单位），则.z )2(z i z -=i =z 3．已知直线的倾斜角大小是，则.012=++y x θ=θ2tan 4．若关于的二元一次方程组有唯一一组解，则实数的取值范y x 、⎩⎨⎧=-+-=+-04)12(03y x m y mx m 围是.5．已知函数和函数的图像关于直线)(x f y =)1(log 2+=x y 对称，则函数的解析式为.0=-y x )(x f y =6．已知双曲线的方程为1322=-y x 距离为.7．函数的最小正周期xx x x x x x f sin cos sin 2)cos(cos sin )(--+=πT 8．若展开式中含项的系数等于含项系数的8倍，则正nx )21(+3x x 整数.=n 9．执行如图所示的程序框图，若输入的值是，则输出的值是.p 7S 10．已知圆锥底面半径与球的半径都是，如果圆锥的体积恰好也与球的体积相等，那么这1cm 个圆锥的母线长为．cm 理高中进行整范围11．某中学在高一年级开设了门选修课，每名学生必须参加这门选修课中的一门，对于该44年级的甲、乙、丙名学生，这名学生选择的选修课互不相同的概率是(结果用33最简分数表示)． 12．各项为正数的无穷等比数列的前项和为，若， 则其公比的取值{}n a n n S 1lim1=+∞→n nn S S q 范围是 .13．已知两个不相等的平面向量，()满足||＝2，且与－的夹角为120°，则αβ≠αβαβα||的最大值是.α14．给出30行30列的数表：，其特点是每行每列都A ⎪⎪⎪⎪⎪⎪⎪⎪⎭⎫⎝⎛1074216183150117216342720131832721159150201510511713951构成等差数列，记数表主对角线上的数按顺序构成数列，存在正整10743421101、、、、、 {}n b 数使成等差数列，试写出一组的值.)1(t s t s <<、t s b b b ,,1),(t s 二、选择题（本大题满分20分）本大题共有4题，每题有且只有一个正确答案，考生应在答案纸的相应编号上，填上正确的答案，选对得5分，否则一律得零分.15．已知，，则的值等于………………………（ ）),2(ππα∈53sin =α)4tan(πα-（A ）． （B ） ． （C ） ． （D ）．7171-77-16．已知圆的极坐标方程为，则“”是“圆与极轴所在直线相切”的C θρsin a =2=a C ………………………………………………………………………………（）（A ）充分不必要条件．（B ）必要不充分条件．（C ）充要条件．（D ）既不充分又不必要条件．17． 若直线经过点，则 …………………………（）2=+by ax )sin ,(cos ααM 术不仅可以解决吊顶层资料试卷要求，对电气卷配置技术是指机组在进（A ）．（B ）．（C ）． （D ）422≤+b a 422≥+b a 41122≤+b a ．41122≥+ba 18．已知集合，若对于任意，存在，使{})(),(x f y y x M ==M y x ∈),(11M y x ∈),(22得成立，则称集合是“集合”. 给出下列4个集合：02121=+y y x x M Ω①②⎭⎬⎫⎩⎨⎧==x y y x M 1),({}2),(-==x e y y x M ③④{}x y y x M cos ),(=={}x y y x M ln ),(==其中所有“集合”的序号是……………………………………………………（）Ω（A ）②③ ．（B ）③④ ．（C ）①②④．（D ）①③④．三、解答题（本大题满分74分）本大题共5题，解答下列各题必须在答题纸相应编号的规定区域内写出必要的步骤.19．（本题满分12分）本题共有2小题，第1小题满分5分，第2小题满分7分．在棱长为的正方体中，分别为的中点．21111D C B A ABCD -F E ,CD B A,11（1）求直线与平面所成角的大小；EC 11BCC B （2）求二面角的大小．B AF E -- 20．（本题满分14分）本题共有2小题，第1小题满分6分，第2小题满分8分 ．如图所示，扇形，圆心角的大小等于，半径为，在半径上有一动点，AOB AOB 3π2OA C过点作平行于的直线交弧于点．C OB AB P （1）若是半径的中点，求线段的大小；C OA PC （2）设，求△面积的最大值及此时的值．θ=∠COP POC θ21．（本题满分14分）本题共有2小题，第1小题满分7分，第2小题满分7分 ．已知函数．a x x f +=2)(（1）若是偶函数，在定义域上恒成立，求实数的取值范围；12)()(++=bx x f x F ax x F ≥)(a （2）当时，令，问是否存在实数，使在上是1=a )())(()(x f x f f x λϕ-=λ)(x ϕ()1,-∞-减函数，在上是增函数？如果存在，求出的值；如果不存在，请说明理由．()0,1-λ22．（本题满分16分）本题共有3小题，第1小题满分4分，第2小题满分6分，第3小题满分6分.已知点，、、是平面直角坐标系上的三点，且、、成等差)0,1(A 1P 2P 3P 1AP2AP 3AP 数列，公差为，．d 0≠d （1）若坐标为，，点在直线上时，求点的坐标；1P ()1,1-2d =3P 3180x y --=3P （2）已知圆的方程是，过点的直线交圆于两点，C 222)3()3(r y x =-+-)0(>r A 31P P 、是圆上另外一点，求实数的取值范围；2P C d （3）若、、都在抛物线上，点的横坐标为，求证：线段的垂直平1P 2P 3P 24y x =2P 313PP 分线与轴的交点为一定点，并求该定点的坐标．x 23．（本题满分18分）本题共有3小题，第1小题满分4分，第2小题满分6分，第3小题满分8分.已知数列的前项和为，且满足 ()，，设，{}n a n n S a a =13≠a nn n S a 31+=+n n n S b 3-=．*∈N n （1）求证：数列是等比数列；{}n b （2）若≥，，求实数的最小值；1+n a n a *∈N n a （3）当时，给出一个新数列，其中，设这个新数列的前项和4=a {}n e ⎩⎨⎧≥==2,1,3n b n e nn n为，若可以写成 (且)的形式，则称为“指数型和”．问中n C n C p t *∈N p t ,1,1>>p t n C {}n C 的项是否存在“指数型和”，若存在，求出所有“指数型和”；若不存在，请说明理由．四区联考2012学年度第二学期高三数学（文理）参考答案及评分标准2013.04说明1．本解答列出试题一种或几种解法，如果考生的解法与所列解法不同，可参照解答中评分标准的精神进行评分．2．评阅试卷，应坚持每题评阅到底，不要因为考生的解答中出现错误而中断对该题的评阅．当考生的解答在某一步出现错误，影响了后续部分，但该步以后的解答未改变这一题的内容和难度时，可视影响程度决定后面部分的给分，但是原则上不应超出后面部分应给分数之半，如果有较严重的概念性错误，就不给分．3．第19题至第23题中右端所注的分数，表示考生正确做到这一步应得的该题分数．4．给分或扣分均以1分为单位．一．填空题（本大题满分56分）本大题共有14题，考生应在答题纸相应编号的空格内直接填写结果，每个空格填对得4分，否则一律得零分．1．； 2．； 3．； 4．； 5．； 6．；]3,1[-23431≠m 12-=xy 17．（文、理）；8．（文）4（理）；9．；10．；11．（文）（理）π5646317414214=C ；12．；13．（文）（理）；14．（文）②③⑤（理）． 834334=P (]1,0(1,)+∞334)25,17(②二、选择题（本大题满分20分）本大题共有4题，每题有且只有一个正确答案，考生应在答案纸的相应编号上，填上正确的答案，选对得5分，否则一律得零分.15． D ； 16．（文）B （理）A ； 17． B ；18．（文）C （理）A三、解答题（本大题满分74分）本大题共5题，解答下列各题必须在答题纸相应编号的规定区域内写出必要的步骤 .吊顶层配置不规范高中资电气设备进行空载与带组在进行继电保护高中资19．（本题满分12分）本题共有2小题，第1小题满分5分，第2小题满分7分 ．(文)解：（1）如图正四棱锥底面的边长是米，高是米5.185.0sh V 31=36375.085.05.15.131m =⨯⨯⨯=所以这个四棱锥冷水塔的容积是．36375.0m (2)如图，取底面边长的中点，连接，E SE 222275.085.0+=+=EO SO SE SE ⨯⨯⨯=5.1214S 侧22240.375.085.05.1214m ≈+⨯⨯⨯=答：制造这个水塔的侧面需要3.40平方米钢板．（理）19．（1）（理）解法一：建立坐标系如图平面的一个法向量为11BCC B )0,1,0(1=n 因为，，)2,1,2(E )0,2,0(C )2,1,2(--=∴可知直线的一个方向向量为．EC )2,1,2(--=∴设直线与平面成角为，与所成角为，则EC 11BCC B θ1nϕ。

静安、杨浦、青浦、宝山区2013届高三4月高考模拟英语试卷考生注意：1、本试卷分为第Ⅰ卷和第Ⅱ卷两部分。

全卷共11页。

满分150分。

考试时间120分钟。

2、答第一卷前，考生务必在答题卡上用钢笔或水笔清楚填写学校、班级、姓名、准考证号，并用铅笔在答题卡上正确涂写准考证号。

3、第I卷（1—16小题，25 —80小题）由机器阅卷，答案必须全部涂写在答题卡上。

考生应将代表正确答案的小方格用铅笔涂黑。

注意试题题号和答题卡编号一一对应，不能错位。

答案需要更改时，必须将原选项用橡皮擦去，重新选择。

答案不能涂写在试卷上，涂写在试卷上一律不给分。

第I卷中的第17—24小题、81—84小题和第II卷的试题在电脑上阅卷，其答案用黑色或蓝色钢笔或水笔写在答题卡上，如用铅笔答题，或写在试卷上也一律不给分。

答题时，请按题号顺序在各题目的答题区域内作答，超出答题区域书写的答案一律无效。

第I卷（共105分）I. Listening ComprehensionSection ADirections: In Section A, you will hear ten short conversations between two speakers. At the end of each conversation, a question will be asked about what was said. The conversations and the questions will be spoken only once. After you hear a conversation and the question about it, read the four possible answers on your paper, and decide which one is the best answer to the question you have heard.1. A. 8:15. B. 8:45. C. 9:13. D. 9:30.2. A. Terrible. B. Regretful. C. Exhausted. D. Satisfied.3. A. Its quality. B. Its space. C. Its design. D. Its price.[来源:]4. A. Husband and wife. B. Doctor and patient.[来源:]C. Customer and waitress.D. Boss and employee.5. A. At a nursery school. B. At a studio. C. In a cinema. D. In a store.6. A. He doesn’t like living in the suburbs.B. The suburbs make lots of noise.C. He can’t afford to stay there.D. He has to pay a lot to take a taxi.7. A. He gave the woman the wrong information.B. He added salt to the coffee.C. He put the sugar in the black container.D. He broke the two containers.8. A. Take some medicine. B. Stay in hospital.C. Take his temperature.D. Have some soft drink.9. A. The woman is good at maths. B. The man has problem with maths.C. The man is the cheerleader in school.D. The woman is a trouble maker.10. A. Sam applied for the job first.B. Christina is supposed to be in charge of the department.C. Sam is capable enough of taking the responsibility.D. Christina is the right person for the job vacancy.Section BDirections: In Section B, you will hear two short passages, and you will be asked three questionson each of the passages. The passages will be read twice, but the questions will be spoken only once. When you hear a question, read the four possible answers on your paper and decide which one would be the best answer to the question you have heard.Questions 11 through 13 are based on the following passage.11. A. In the middle of the hall. B. At the back of the room.C. Next to the gate.D. At the information desk.12. A. Speak without permission. B. Note down the agenda (议程).C. Read the agenda carefully.D. Fill out a “Speaker Card”.13. A. Just share the ideas with the partner in the meeting room.B. Interrupt the speaker whenever he just talks nonsense.C. Keep quiet when somebody else is giving his opinions.D. Talk on the cell phone in a low voice during the meeting.Questions 14 through 16 are based on the following passage.14. A. 6a.m.-8a.m., 9p.m.-11p.m.. B. 5a.m.-7a.m., 5p.m.-7p.m..C. 5a.m.-6a.m., 5p.m.-6p.m..D. 6a.m.-7a.m., 8p.m.-9p.m..15. A. To make the town cleaner and better the environment.B. To reduce the amount of the waste.C. To introduce a new resource-recycling company.D. To try some new way out to decrease its negative effects.16. A. They have to help clean the streets for a whole day.B. They have reached an agreement with the local residents.C. They travel a lot to look after family businesses.D. They come back home late and miss the waste collection time.Section CDirections: In Section C, you will hear two longer conversations. The conversations will be read twice. After you hear each conversation, you are required to fill in the numbered blanks with information you have heard. Write your answers on your answer sheet.Blanks 17 through 20 are based on the following conversation.Complete the form. Write ONE WORD for each answer.What is the name of the book? __17 and the Modern Age.Who asks the librarian to make sure every student can read the book? The 18 .Where is the book now? In the 19 room.Which floor can students find the book? On the 20 floor.Blanks 21 through 24 are based on the following conversation.Complete the form. Write NO MORE THAN THREE WORDS for each answer.What kind of store is Radio Shack? 21 .What is the advantage of shopping in Radio Shack besides good quality? It provides 22 . What is the disadvantage of shopping in the bookstores? 23 .What does “shopping around” mean?Going to different stores and 24__ goods at the cheapest price.II. Grammar and vocabularySection ADirections: Beneath each of the following sentences there are four choices marked A, B, C and D. choose the one answer that best completes the sentence.25. The start of a new year brings hope — hope _____ better health, more happiness and greater success.A. amo ngB. forC. overD. on26. –What is the man, actually?–I don’t know for sure. But I think he can be _____ but a policeman.A. nothingB. somethingC. everythingD. anything27. –Do you know where David is? I couldn’t f ind him anywhere.– Well. He _____ have gone far — his glasses are still here.A. shouldn’tB. mustn’tC. can’tD. wouldn’t28. I suppose you are unwilling to change your idea, _____?A. aren’t youB. do IC. don’t ID. are you29. At the moment of the car accident, Jason’s life _____ in the blink of an eye.A. changesB. had changedC. was changingD. changed30. The law says that all public buildings must be accessible to people who have trouble _____.A. walkingB. walkC. to walkD. walked31. Many students apply for a position at that company, but only a few _____.A. are being acceptedB. are acceptedC. have acceptedD. accept32. Desserts made from apples, such as pies, apple pancakes and apples _____ in sugar are available for sampling.A. dippingB. dipC. dippedD. to dip33. Tom’s resolution _____ up drinking alcohol lasted only two days.A. givenB. givingC. giveD. to give34. The boy, one of the so-called rich second generation, forced his parents to buy a new car _____ it might cost.A. no matter howB. however highC. no matter how muchD. how much35. A business plan should be a strategic outline of _____ you are going to do, why and how you are going to do it.A. whatB. whichC. howD. that36. The teacher left word with our monitor _____ she would explain the problem again next time.A. whoB. whichC. asD. that37. They will pay a visit to Europe in a couple of years _____ they have enough money.A. for fear thatB. on condition thatC. even thoughD. as well as38. Every time Gina catches her employees _____ time, she reminds them that time is money.A. to wasteB. wastingC. wastedD. waste39. Not until 2012 _____ to a Chinese writer for the first time.A. the Nobel Prize in literature was awardedB. was awarded the Nobel Prize in literatureC. was the Nobel Prize in literature awardedD. the Nobel Prize was awarded in literature40. BrainPOP is an educational program consisting of brief animated videos _____ a man named Tim and his robot friend Moby discuss various subjects.A. in whichB. whichC. asD. in thatSection BDirections: Complete the following passage by using the words in the box. Each word can only be used once. Note that there is one word more than you need.A. concentratedB. possibleC. revisedD. applicationsE. figuresF. connectG. benefitsH. globalI. contributeJ. topsMore than two million people in Europe now have fiber broadband（光纤宽带）direct to their home, suggests a survey. The latest __41__ on superfast broadband delivered by fiber to the home (FTTH) show 18% growth over the last survey compiled in late 2008.The continued growth suggests that the __42__ economic decline has not hit plans to build fiber networks. Sweden __43__ the list of nations applying the technology, with 10.9% of its broadband customers using fiber. Karel Helsen, president of Europe’s Fiber-To-The-Home Council, said the growth matched predictions that were __44__ when the credit crisis started to make itself felt. “The numbers in 2009 are in line with the latest forecasts,” said Mr. Helsen.By 2012, the FTTH Council expects that 13 million people across 35 European nations will have their broadband delivered by fiber. Such services would start at a speed of 100 megabits per second (mbps), said Mr. Helsen. Around Europe more than 233 projects were underway to lay the fibers that would __45__ homes or buildings to the net, said Mr. Helsen. Many of those, he said, were being operated by local governments or smaller net firms. Local governments were interested in FTTH because of the economic and social __46__ it brought in its wake, said Mr. Helsen.The low delay in high-speed fiber networks made __47__ new uses of broadband, he said. “No delay is very important,” he said, “specifically if you talk about __48__ that are time-dependent such as personal communications, conference calls or video calls where delays cause a lot of trouble.” While early FTTH services were__49__ in cities, said Mr. Helsen, many more were reaching out to rural areas for e-health and e-learning projects.III. Reading ComprehensionSection ADirections: For each blank in the following passage there are four words or phrases marked A, B, C and D. Fill in each blank with the word or phrase that best fits the context.Large companies need a way to reach the savings of the public at large. The same problem, on a smaller__50__, faces practically every company trying to __51__ new products and create new jobs. There can be little prospect of raising the sort of sums needed from friends and people we know. While banks may agree to provide short-term finance, they are generally __52__ to provide money on a permanent basis for long-term projects. So companies turn to public, inviting people to lend them money, or take a share in the business in __53__ for a share in future profits. This they do by __54__ stocks and shares in the business through the Stock Exchange. By doing so they can put into circulation the savings of __55__ and organizations, both at home and overseas. When the saver needs his money back, he does not have to go to the company with whom he originally placed it. __56__, he sells his shares through a stockbroker to some other saver who is seeking to __57__ his money.Many of the __58__ needed both by industry and by each of us are provided by the government or by local authorities. Without hospitals, electricity, telephones, railways, this country could not __59__. All these require __60__ spending on new equipment and new development if they are toserve us properly, requiring more money than is raised through taxes alone. The government, local authorities, and nationalized industries __61__ frequently need to borrow money to finance major capital spending, and they, too, come to the Stock Exchange.There is __62__ a man or woman in this country whose job or whose standard of living does not __63__ the ability of his or her employers to raise money to finance new development. In one way or another this new money must come from the savings of the country. The Stock Exchange __64__ to provide a channel through which these savings can reach those who need finance.50. A. level B. extent C. scale D. basis51. A. programme B. provide C. develop D. prepare52. A. unexpected B. unwilling C. unbelievable D. uncertain53. A. search B. exchange C. value D. comfort54. A. issuing B. allowing C. producing D. acquiring55. A. immigrants B. investigators C. inheritors D. individuals56. A. Indeed B. In fact C. In addition D. Instead57. A. eliminate B. reflect C. invest D. profit58. A. properties B. appliances C. foundations D. services59. A. function B. experience C. share D. launch60. A. invisible B. continuous C. l imited D. economical61. A. therefore B. however C. nevertheless D. otherwise62. A. definitely B. almost C. hardly D. probably63. A. turn down B. depend on C. take over D. put off64. A. releases B. forces C. leaves D. existsSection BDirections: Read the following three passages. Each passage is followed by several questions or unfinished statements. For each of them there are four choices marked A, B, C and D. Choose the one that fits best according to the information given in the passage you have just read.(A)A voyaging ship was wrecked during a storm at sea and only two of the men aboard were able to swim to a small, desert-like island. Not knowing what else to do, the two survivors agreed that they had no alternativethan to pray to God.However, to find out whose prayers were more powerful, they agreed to divide the territory between them a nd stay on opposite sides of the island.The first thing they prayed for was food. The next morning, the first man saw a fruit-bearing tree on his side of the island, and he was able to eat its fruit. But the other man’s parcel of land remained barren.After a week, the first man became lonely and decided to pray for a wife. The next day, another ship was wrecked and the only survivor was a woman who swam to his side of the island. But on the other side of the island, there was nothing.Soon thereafter the first man prayed for a house, clothes and more food. The next day, like magic, all of these things were given to him. However, the second man still had nothing.Finally, the first man prayed for a ship so that he and his wife could leave the island, and in the morning he found a ship docked at his side of the island.The first man boarded the ship with his wife and decided to leave the second man on the island, considering the other man unworthy to receive God’s blessings since none of his prayers had be enanswered.As the ship was about to leave, the first man heard a voice from Heaven booming, “Why are you leaving your companion on the island?”“My blessings are mine alone since I was the one who prayed for them,” the first man answered. “His prayers were all unanswered and so he doesn’t deserve an ything.”“You are mistaken!” the voice rebuked him. “He had only one prayer, which I answered. If not for that, you would not have received any of my blessings.”“Tell me,” the first man asked the voice, “what did he pray for that I should owe him anything?”“He prayed that all your prayers would be answered.”For all we know, our blessings are not the fruits of our prayers alone, but those of another praying for us. So what you do for others is more important than what you do for yourself.65. The first man’s wife is _____.A. a swimmer who got to the island by accidentB. an angel sent by God to keep him companyC. a survivor from another wrecked shipD. a native person on the desert-like island66. The underlined word “barren” in Paragraph 3 is closest in meaning to _____.A. isolatedB. unproductiveC. fertileD. dry67. Which of the following is true about the second man?A. He didn’t deserve any blessing from God.B. None of his prayers was answered by God.C. He is not brave enough to tell God his needs.D. His prayer helped his companion get out of trouble.68. What’s the moral of the story?A. Never judge a person by appearance.B. Don’t lose heart in trouble.C. Helping others is helping ourselves.D. Greed is the root of all evil.(B)Stewart Island Ferry ServicesWhile most visitors spend at least one night on Stewart Island, it is also readily accessible by ferry as a day excursion from Invercargill and Bluff.Experience Foveaux Strait in comfort and style on board our express catamarans. During the one-hour crossing between Bluff and Stewart Island keep a lookout for wildlife, especially seabirds. Watching mollymawks (albatross) soaring behind the ferry is a fantastic sight. Interesting landmarks commonly seen include Dog Island Lighthouse, Ruapuke Island, Titi Islands and Mt Anglem - Stewart Island’s highest point.•Free tea and coffee on board•Interpretation handouts are available (English only).•Wheelchair access available•Personal baggage is carried free on the ferries - max. two bags per person (one stowed and one small carry-on). Additional baggage is by prior arrangement.•Vehicle parking available at Bluff (extra cost - reservations recommended)FERRY TO STEW ART ISLANDDepart BluffAll year 9:30amSep-May 5:00pmOct –Apr 11:00amJun –Aug 4:30pmLate Dec –mid Jan8:00amFERRY TO BLUFFDepart Stewart IslandAll year 8:00amSep –May 3:30pmOct –Mar 6:00pmApr 5:00pmJun-Aug 3:00pmLate Dec –mid Jan 9:30amOther departures as locally advertisedDuration 1hrCheck-in 30 minutes prior to the scheduled departure time. (Check-in and boarding gates are closed 10 minutes prior to times stated above.)“20% Multi-Purchas e REW ARD” on Return Ferry ServicesBuy 2 or more different excursions and SA VE 20% off all lower priced!Kids Go FREE on selected departures during NZ School Holidays!Kids Go FREE for travel 20 April - 5 May 2013.69. If leaving a car at Bluff, a traveler had better _____.A. refer to the handouts firstB. use wheelchair accessC. make a reservationD. park it 30 minutes before departure time70. John, who went to Stewart Island on Dec. 28th, got to the ferry dock at 7:55am. When did he most probably leave Bluff?A. At 8:00a.m..B. At 9:30a.m..C. At 11:00a.m..D. At 3:00p.m..71. Which of the following is false about the ferry services?A. Tea and coffee are free for passengers.B. Children go free for travel for about 15 days.C. Travelers are sure to see some seabirds during the crossing.D. Passengers have to pay extra cost for extra pieces of luggage.(C)Barack Obama urged congressional leaders on Monday to act quickly to pass a huge stimulus package for the U.S. economy. He met with a bipartisan (concerning or involving two different political parties) group of lawmakers on Capitol Hill. Later he met individually with Democratic and Republican House and Senate leaders and spoke to a bipartisan leadership gathering. In comments to reporters early on Monday, he emphasized the urgency of finalizing economic legislation (立法). “We have got an extraordinary econ omic challenge ahead of us,” he said, “Weare expecting a sobering job report at the end of the week. Nancy Pelosi and her staff have been extraordinarily helpful in working with our team so that we can shape an economic recovery and reinvestment plan that starts putting people back to work.”Mr. Obama wants tax cuts for individual Americans and businesses to make up a significant portion of expected legislation. This could involve as much as $300 billion of a bill that is likely to go beyond $700 billion and include aid to cash-poor U.S. states, and money for alternative energy and a range of infrastructure (基础设施) projects. Later, Mr. Obama said he expects to be able to sign legislation as soon as the end of this month, adding that quick action is necessary to “break the drive of the U.S. econo mic depression”.Emerging later from bipartisan talks with Mr. Obama, Nancy Pelosi said lawmakers discussed with the president how to pass a stimulus package as quickly as possible. “An economic recovery package that will create jobs immediately and will grow the economy and that is what we talked about today,” said Nancy Pelosi. “How we could do this fast, deliberatively and to act upon it soon.” Just how soon that would be, Pelosi would not say.How much support Democrats can obtain from Republicans will depend on the details. But the severity of the U.S. economic depression has created considerable bipartisan backing for quick action. Senate Majority Leader, Harry Reid said: “There are investments that we need to make on behalf of the American people to turn around this economy. We felt very good about the meeting; we ar e confident that we can do this and we have to do this.”“I think the best thing I can do is to decline to comment on what they are going to do going forward,” said Dana Perino. “Obviously, we think that tax cuts were the right way to help our economy get out of the economic depression that this president inherited and we know that tax cuts can stimulate innovation.” Asked by reporters how large the economic stimulus package might be, Senate Majority Leader Reid said Obama indicated that all but one of some 28 economists advising him had said it should range from $800 billion to $1.3 trillion.72. Barack Obama urged congressional leaders and met with bipartisan leaders to _____.A. take over the White HouseB. end economic declineC. understand each other betterD. negotiate political issues73. If the sti mulus package is passed quickly and successfully, it can _____.A. obtain support from RepublicansB. finalize economic legislationC. enhance America’s international pos itionD. provide job opportunities74. What is the bipartisan leaders’ attitude towards this meeting?A. Uncertain.B. Hopeful.C. Disappointed.D. Indifferent.75. What can we infer from the passage?A. The best way out of the economic depression is tax cuts.B. The Republic Party plays the key role in coping with the economic depression.C. Democrats and Republicans will team up in the economic depression.D. When the stimulus package will be passed is known to the lawmakers.Section CDirections: Read the following text and choose the most suitable heading from A-F for each paragraph. There is one extra heading which you do not need.A. Factors that influence reactions to pollutantsB. Possible sources of indoor air pollutionC. Ways to identify diseases with similar symptomsD. Long-term effects after repeated exposureE. A commonly-ignored health threatF. Immediate symptoms and regular treatment76.Most people are aware that outdoor air pollution can damage their health, but many do not know that indoor air pollution can also have significant health effects. Environmental Protection Agency studies indicate that indoor levels of pollutants may be 2-5 times, and occasionally more than 100 times, higher than outdoor levels. These levels of indoor air pollutants may be of particular concern because most people spend about 90％of their time indoors.[来源:]77.There are many sources of indoor air pollution in any home. These include combustion sources such as oil, gas, coal, wood, and tobacco products; building materials and furnishings as diverse as deteriorated asbestos-containing insulation, wet or damp carpet, and cabinetry or furniture made of certain pressed wood products; products for household cleaning and maintenance, personal care, or hobbies; central heating and cooling systems and humidification devices; and outdoor sources such as radon, pesticides, and outdoor air pollution.78.Immediate effects may show up after a single exposure or repeated exposures. These include irritation of the eyes, nose, and throat, headaches, dizziness, and fatigue. Such immediate effects are usually short-term and treatable. Sometimes the treatment is simply eliminating the person's exposure to the source of the pollution, if it can be identified. Symptoms of some diseases, including asthma, hypersensitivity and fever, may also show up soon after exposure to some indoor air pollutants.[来源:]79.The likelihood of immediate reactions to indoor air pollutants depends on several factors. Age and pre-existing medical conditions are two important influences. In other cases, whether a person reacts to a pollutant depends on individual sensitivity, which varies tremendously from person to person. Some people can become sensitized to biological pollutants after repeated exposures, and it appears that some people can become sensitized to chemical pollutants as well.80.Certain immediate effects are similar to those from colds or other viral diseases, so it is often difficult to determine if the symptoms are a result of exposure to indoor air pollution. For this reason, it is important to pay attention to the time and place the symptoms occur. If the symptoms fade or go away when a person is away from the home and return when the person returns, an effort should be made to identify indoor air sources that may be possible causes.Section DDirections: Read the passage carefully. Then answer the questions or complete the statements inthe fewest possible words.Children and adolescents who watch a lot of television are more likely to have antisocial and criminal behavior when they become adults, according to a new University of Otago, New Zealand, study published online in the journal Pediatrics. The study followed a group of around 1,000 children born in the New Zealand city of Dunedin in 1972-1973. Every two years between the ages of 5 and 15, they were asked how much television they watched. Those who watched more television were more likely to have a criminal conviction and were also more likely to have antisocial personality traits in adulthood.The study found that the risk of having a criminal behavior by early adulthood increased by about 30% with every hour that children spent watching TV on an average weeknight.The study also found that watching more television in childhood was associated, in adulthood, with aggressive personality, an increased tendency to experience negative emotions, and an increased risk of antisocial personality disorder; a psychiatric disorder characterised by persistent patterns of aggressive and antisocial behavior.The researchers found that the relationship between TV viewing and antisocial behavior was not explained by socio-economic status, aggressive or antisocial behavior in early childhood, or parenting factors.A study co-author, Lindsay Robertson, says it is not that children who were already antisocial watched more television. “Rather, children who watched a lot of television were likely to go on to manifest antisocial behavior and personality traits.”Other studies have suggested a link between television viewing and antisocial behavior, though very few have been able to demonstrate a cause-and-effe ct sequence. This is the first ‘real-life’ study that has asked about TV viewing throughout the whole childhood period, and has looked at a range of antisocial outcomes in adulthood. As an observational study, it cannot prove that watching too much television caused the antisocial outcomes, but the findings are consistent with most of the research and provides further evidence that excessive television can have long-term consequences for behavior.Antisocial behavior is a major problem for society. While we’re not saying that television causes all antisocial behavior, our findings do suggest that reducing TV viewing could go some way towards reducing rates of antisocial behavior in society,” says Associate Professor Hancox.The American Academy of Pediatrics recommends that children should watch no more than 1 to 2 hours of quality television programming each day. The researchers say their findings support the idea that parents should try to limit their children's television use.(Note: Answer the questions or complete the statements in NO MORE THAN TEN WORDS.)81. The aim of the study is to reveal ______________________________________________.82. The researchers chose __________________________________________ as their research subjects（研究对象）.83. What’s the shortcoming of most of the studies on this topic?__________________________________________________________.84. What do you suppose many parents will do after reading this passage?__________________________________________________________.第II卷（共45分）I. Translation。

2012学年四区联考（静杨青宝）高三年级高考模拟考试数学试卷(理科)2013.04.（满分150分，答题时间120分钟）一、填空题（本大题满分56分）本大题共有14题，考生应在答题纸相应编号的空格内直接填写结果，每个空格填对得4分，否则一律得零分．1．已知全集R U =，集合{}0322>--=x x x A ，则=A C U . 2．若复数z 满足)2(z i z -=（i 是虚数单位），则=z . 3．已知直线012=++y x 的倾斜角大小是θ，则=θ2tan . 4．若关于y x 、的二元一次方程组⎩⎨⎧=-+-=+-04)12(03y x m y mx 有唯一一组解，则实数m 的取值范围是 .5．已知函数)(x f y =和函数)1(l o g 2+=x y 的图像关于直线0=-y x 对称，则函数)(x f y =的解析式为 .6．已知双曲线的方程为1322=-y x ，则此双曲线的焦点到渐近线的距离为 .7．函数xx x x x x x f sin cos sin 2)cos(cos sin )(--+=π的最小正周期=T .8．若nx )21(+展开式中含3x 项的系数等于含x 项系数的8倍，则正整数=n . 9．执行如图所示的程序框图，若输入p 的值是7，则输出S 的值是 .10．已知圆锥底面半径与球的半径都是1cm ，如果圆锥的体积恰好也与球的体积相等，那么这个圆锥的母线长为cm ．11．某中学在高一年级开设了4门选修课，每名学生必须参加这4门选修课中的一门，对于该年级的甲、乙、丙3名学生，这3名学生选择的选修课互不相同的概率是 (结果用最简分数表示)．12．各项为正数的无穷等比数列{}n a 的前n 项和为n S ，若1lim 1=+∞→n nn S S ， 则其公比q 的取值范围是 .13．已知两个不相等的平面向量，(0≠)满足||＝2，且与－的夹角为120°，则|α|的最大值是 .14．给出30行30列的数表A ：⎪⎪⎪⎪⎪⎪⎪⎪⎭⎫⎝⎛1074216183150117216342720131832721159150201510511713951，其特点是每行每列都构成等差数列，记数表主对角线上的数10743421101，，，，， 按顺序构成数列{}n b ，存在正整数)1(t s t s <<、使t s b b b ,,1成等差数列，试写出一组),(t s 的值 .二、选择题（本大题满分20分）本大题共有4题，每题有且只有一个正确答案，考生应在答案纸的相应编号上，填上正确的答案，选对得5分，否则一律得零分. 15．已知),2(ππα∈，53sin =α，则)4tan(πα-的值等于………………………（ ）（A ）71． （B ）71- ． （C ） 7． （D ）7-．16．已知圆C 的极坐标方程为θρsin a =，则“2=a ”是“圆C 与极轴所在直线相切”的 ………………………………………………………………………………（ ） （A ）充分不必要条件．（B ）必要不充分条件．（C ）充要条件．（D ）既不充分又不必要条件． 17． 若直线2=+by ax 经过点)sin ,(cos ααM ，则 …………………………（ ）（A ） 422≤+b a ． （B ） 422≥+b a ． （C ）41122≤+b a ． （D ）41122≥+ba ．18．已知集合{})(),(x f y y x M ==，若对于任意M y x ∈),(11，存在M y x ∈),(22，使 得02121=+y y x x 成立，则称集合M 是“Ω集合”. 给出下列4个集合： ① ⎭⎬⎫⎩⎨⎧==x y y x M 1),( ②{}2),(-==xe y y x M ③{}x y y x M cos ),(== ④ {}x y y x M ln ),(==其中所有“Ω集合”的序号是……………………………………………………（ ） （A ）②③ ． （B ）③④ ． （C ）①②④． （D ）①③④．三、解答题（本大题满分74分）本大题共5题，解答下列各题必须在答题纸相应编号的规定区域内写出必要的步骤.19．（本题满分12分）本题共有2小题，第1小题满分5分，第2小题满分7分．在棱长为2的正方体1111D C B A ABCD -中，F E ,分别为CD B A ,11的中点． （1）求直线EC 与平面11BCC B 所成角的大小； （2）求二面角B AF E --的大小．20．（本题满分14分）本题共有2小题，第1小题满分6分，第2小题满分8分 ．如图所示，扇形AOB ，圆心角AOB 的大小等于3π，半径为2，在半径OA 上有一动点C ，过点C 作平行于OB 的直线交弧AB 于点P ． （1）若C 是半径OA 的中点，求线段PC 的大小；（2）设θ=∠COP ，求△POC 面积的最大值及此时θ的值．21．（本题满分14分）本题共有2小题，第1小题满分7分，第2小题满分7分 ．已知函数a x x f +=2)(． （1）若12)()(++=bx x f x F 是偶函数，在定义域上ax x F ≥)(恒成立，求实数a 的取值范围； （2）当1=a 时，令)())(()(x f x f f x λϕ-=，问是否存在实数λ，使)(x ϕ在()1,-∞-上是减函数，在()0,1-上是增函数？如果存在，求出λ的值；如果不存在，请说明理由． 22．（本题满分16分）本题共有3小题，第1小题满分4分，第2小题满分6分，第3小题满分6分.已知点)0,1(A ，1P 、2P 、3P 是平面直角坐标系上的三点，且1AP 、2AP 、3AP 成等差数列，公差为d ，0≠d ．（1）若1P 坐标为()1,1-，2d =，点3P 在直线3180x y --=上时，求点3P 的坐标； （2）已知圆C 的方程是222)3()3(r y x =-+-)0(>r ，过点A 的直线交圆于31P P 、两点，2P 是圆C 上另外一点，求实数d 的取值范围；（3）若1P 、2P 、3P 都在抛物线24y x =上，点2P 的横坐标为3，求证：线段13PP 的垂直平分线与x 轴的交点为一定点，并求该定点的坐标．23．（本题满分18分）本题共有3小题，第1小题满分4分，第2小题满分6分，第3小题满分8分.已知数列{}n a 的前n 项和为n S ，且满足a a =1 (3≠a )，n n n S a 31+=+，设n n n S b 3-=，*∈N n ．（1）求证：数列{}n b 是等比数列；（2）若1+n a ≥n a ，*∈N n ，求实数a 的最小值； （3）当4=a 时，给出一个新数列{}n e ，其中⎩⎨⎧≥==2,1,3n b n e nn ，设这个新数列的前n 项和为n C ，若n C 可以写成pt (*∈N p t ,且1,1>>p t )的形式，则称n C 为“指数型和”．问{}n C 中的项是否存在“指数型和”，若存在，求出所有“指数型和”；若不存在，请说明理由．四区联考2012学年度第二学期高三数学（文理）参考答案及评分标准 2013.04说明1．本解答列出试题一种或几种解法，如果考生的解法与所列解法不同，可参照解答中评分标准的精神进行评分．2．评阅试卷，应坚持每题评阅到底，不要因为考生的解答中出现错误而中断对该题的评阅．当考生的解答在某一步出现错误，影响了后续部分，但该步以后的解答未改变这一题的内容和难度时，可视影响程度决定后面部分的给分，但是原则上不应超出后面部分应给分数之半，如果有较严重的概念性错误，就不给分．3．第19题至第23题中右端所注的分数，表示考生正确做到这一步应得的该题分数． 4．给分或扣分均以1分为单位．一．填空题（本大题满分56分）本大题共有14题，考生应在答题纸相应编号的空格内直接填写结果，每个空格填对得4分，否则一律得零分． 1．]3,1[-； 2．2； 3．34； 4．31≠m ； 5．12-=x y ； 6．1； 7．（文、理）π；8．（文）4（理）5；9．6463；10．17；11．（文）414214=C （理）834334=P ；12．(]1,0；13．（文）(1,)+∞（理）334；14．（文）②③⑤（理）)25,17(． ② 二、选择题（本大题满分20分）本大题共有4题，每题有且只有一个正确答案，考生应在答案纸的相应编号上，填上正确的答案，选对得5分，否则一律得零分. 15． D ； 16．（文）B （理）A ； 17． B ；18．（文）C （理）A三、解答题（本大题满分74分）本大题共5题，解答下列各题必须在答题纸相应编号的规定区域内写出必要的步骤 .19．（本题满分12分）本题共有2小题，第1小题满分5分，第2小题满分7分 ．(文)解：（1）如图正四棱锥底面的边长是5.1米，高是85.0米sh V 31=36375.085.05.15.131m =⨯⨯⨯= 所以这个四棱锥冷水塔的容积是36375.0m ． (2)如图，取底面边长的中点E ，连接SE ，222275.085.0+=+=EO SO SESE ⨯⨯⨯=5.1214S 侧22240.375.085.05.1214m ≈+⨯⨯⨯=答：制造这个水塔的侧面需要3.40平方米钢板． （理）19．（1）（理）解法一：建立坐标系如图 平面11BCC B 的一个法向量为)0,1,0(1=n 因为)2,1,2(E )0,2,0(C ，)2,1,2(--=∴EC ， 可知直线EC 的一个方向向量为)2,1,2(--=∴d ．设直线EC 与平面11BCC B 成角为θ，d 与1n 所成角为ϕ，则31191cos sin =⨯===ϕθ31arcsinBCC B 11成角大小为与平面故EC19（1）解法二：⊥1EB 平面11BCC B ，即C B 1为EC 在平面11BCC B 内的射影，故1ECB ∠为直线EC 与平面11BCC B 所成角，在C EB Rt 1∆中，22,1EB 11==C B ,42221tan 111===∠C B EB ECB 故 42arctanBCC B 11成角大小为与平面故EC 19（2）（理科）解法一：建立坐标系如图．平面ABCD 的一个法向量为)1,0,0(1=n设平面AEF 的一个法向量为),,(2z y x n =，因为)0,1,2(-=AF ，)2,1,0(=AE 所以⎩⎨⎧=+=+-0202z y y x ，令1=x ，则1,2-==z y )1,2,1(2-=⇒n661411cos =++-==θ由图知二面角B AF E --为锐二面角，故其大小为66arccos．19（2）解法二：过E 作平面ABC 的垂线，垂足为E '，E EG '∠即为所求AB E ∈'，过E '作AF 的垂线设垂足为G ，ADF ∆∽AGE ∆521='⇒=''E G AF AD E A E G 即52='E G在Q E E Rt '∆中5tan =''='∠E G E E E EG所以二面角B AF E --的大小为5arctan ．20．（本题满分14分）本题共有2小题，第1小题满分6分，第2小题满分8分 ．解:（1）在△POC 中，32π=∠OCP ，1,2==OC OP 由32cos 2222πPC OC PC OC OP ⋅-+=得032=-+PC PC ，解得2131+-=PC ． （2）∵CP ∥OB ，∴θπ-=∠=∠3POB CPO ，在△POC 中，由正弦定理得θsin sin CPPCO OP =∠，即θπsin 32sin 2CP = ∴θsin 34=CP ,又32sin )3sin(πθπCP OC =-)3sin(34θπ-=∴OC ． （文）记△POC 的周长为)(θC ，则2)3sin(34sin 342)(+-+=++=θπθθOC CP C1sin 22223πθθθ⎛⎫⎛⎫++=++⎪ ⎪⎪⎝⎭⎭∴6πθ=时，)(θC2+. （理）解法一：记△POC 的面积为)(θS ，则32sin 21)(πθOC CP S ⋅=， 23)3sin(34sin 3421⨯-⋅⋅=θπθ)3sin(sin 34θπθ-⋅= )sin 21cos 23(sin 34θθθ-=θθθ2sin 32cos sin 2-=332cos 332sin -+=θθ33)62(sin 332-+=πθ∴6πθ=时，)(θS 取得最大值为33. 解法二：212432cos 22-=⋅-+=PC OC PC OC π即422=⋅++PC OC PC OC ，又PC OC PC OC PC OC ⋅≥⋅++322即43≤⋅PC OC当且仅当PC OC =时等号成立, 所以3323342132sin 21=⨯⨯≤⋅=πOC CP SPC OC = ∴6πθ=时，)(θS 取得最大值为33. 21．（本题满分14分）本题共有2小题，第1小题满分6分，第2小题满分8分 ． （文）解：(1)依题意，32=a ，)0,32(C ，由221124x y y x ⎧+=⎪⎨⎪=⎩，得y =设),(11y x A ),(22y x B ，32=OC∴63232212121=⨯⨯=-⋅=∆y y OC S ABC ； (2)如图，由2221124y kx x y =+⎧⎪⎨+=⎪⎩得22(31)120k x kx ++=，0)12(2≥=∆k 依题意，0k ≠，设1122()()P x y Q x y ，，，，线段PQ 的中点00()H x y ，，则12026231x x k x k +-==+，0022231y kx k =+=+，D (0 2)-，，由1-=⋅PQ D H k k ，得2222311631k k k k ++⋅=--+，∴3k =±（理）解:（1）12)(2+++=bx a x x F 是偶函数，0=∴b即2)(2++=a x x F ，R x ∈ 又ax x F ≥)(恒成立即2)1(222+≤-⇒≥++x x a ax a x 当1=x 时R a ∈⇒当1>x 时，213)1(122+-+-=-+≤x x x x a ，232+≤a当1<x 时，213)1(122+-+-=-+≥x x x x a ， 232+-≥a综上： 232232+≤≤+-a （2）)())(()(x f x f f x λϕ-=)2()2(24λλ-+-+=x x)(x ϕ∴是偶函数，要使)(x ϕ在()1,-∞-上是减函数在()0,1-上是增函数，即)(x ϕ只要满足在区间()+∞,1上是增函数在()1,0上是减函数．令2x t =，当()1,0∈x 时()1,0∈t ；()+∞∈,1x 时()+∞∈,1t ，由于()+∞∈,0x 时，2x t =是增函数记)2()2()()(2λλϕ-+-+==t t t H x ，故)(x ϕ与)(t H 在区间()+∞,0上有相同的增减性，当二次函数)2()2()(2λλ-+-+=t t t H 在区间()+∞,1上是增函数在()1,0上是减函数，其对称轴方程为1=t 4122=⇒=--⇒λλ．22．（本题满分16分）本题共有3个小题，第1小题满分4分，第2小题满分6分，第3小题满分6分.（文）解:（1）a a ax x x f f y +++==2242))(( 过原点，02=+a a10-==⇒a a 或 得2)(x x f =或1)(2-=x x f(2)(3)同理21（理）解（1）11AP =，所以35AP =，设()3,Px y 则()221253180x y x y ⎧-+=⎪⎨--=⎪⎩，消去y ，得211300x x -+=，…（2分） 解得15x =，26x =,所以3P 的坐标为()5,3-或()6,0（2）由题意可知点A 到圆心的距离为13)03()13(22=-+-=t …（6分）（ⅰ）当130<<r 时，点()1,0A 在圆上或圆外，31132P P AP AP d =-=， 又已知0≠d ，r P P 2031≤≤，所以 0<≤-d r 或 r d ≤<0 （ⅱ）当13≥r 时，点()1,0A 在圆内，所以13213132max=--+=r r d，又已知0≠d ，13220≤<d ，即013<≤-d 或130≤<d结论：当130<<r 时，0<≤-d r 或 r d ≤<0；当13≥r 时，013<≤-d 或130≤<d（3）因为抛物线方程为x y 42=，所以()1,0A 是它的焦点坐标，点2P 的横坐标为3，即82=AP设()111,P x y ，()333,P x y ，则111+=x AP ，133+=x AP ，1322AP AP AP +=， 所以13226x x x +==直线13PP 的斜率3131314y y k x x y y -==-+，则线段13PP 的垂直平分线l 的斜率314l y y k +=-则线段13PP 的垂直平分线l 的方程为()3131324y y y yy x ++-=-- 直线l 与x 轴的交点为定点()5,023．（本题满分18分）本题共有3小题，第1小题满分4分，第2小题满分6分，第3小题满分8分.（文）解：（1）令1=n 得321112⋅+=⋅a a ，即3212=-a a ； 又21=a 382=⇒a （2）由3212=-a a 和⎪⎪⎩⎪⎪⎨⎧-+=-++=-+3)1()1(,3)1(11n n S a n n n S na n n nn32)1(1na a n na n n n +=--⇒+321=-⇒+n n a a ，所以数列}{n a 是以2为首项，32为公差的等差数列，所以)2(32+=n a n ． 解法一：数列}{n a 是正项递增等差数列，故数列}{n k a 的公比1>q ，若22=k ，则由382=a 得3412==a a q ，此时932)34(223=⋅=k a ，由)2(32932+=n 解得*310N n ∉=，所以22>k ，同理32>k ；若42=k ，则由44=a 得2=q ，此时122-⋅=n k n a 组成等比数列，所以)2(32221+=⋅-m n ，2231+=⋅-m n ，对任何正整数n ，只要取2231-⋅=-n m ，即n k a 是数列}{n a 的第2231-⋅-n 项．最小的公比2=q ．所以2231-⋅=-n n k ．………（10分）解法二: 数列}{n a 是正项递增等差数列，故数列}{n k a 的公比1>q ，设存在,,,,21n k k k a a a )(21 <<<<n k k k 组成的数列}{n k a 是等比数列，则3122k k k a a a ⋅=，即()()232)2(322)2(32322322+=+⇒+⨯=⎥⎦⎤⎢⎣⎡+k k k k 因为1*232>∈k N k k 且、所以22+k 必有因数3，即可设N t t t k ∈≥=+,2,322，当数列}{n k a 的公比q 最小时，即42=k ，2=⇒q 最小的公比2=q ．所以2231-⋅=-n n k ． （3）由（2）可得从}{n a 中抽出部分项 ,,,,21n k k k a a a )(21 <<<<n k k k 组成的数列}{n k a 是等比数列，其中11=k ，那么}{n k a 的公比是322+=k q ，其中由解法二可得N t t t k ∈≥-=,2,232．)2(32)32(312+=+⋅=-n n k k k a n 2)32(312-+⋅=⇒-n n k k 2)3223(31-+-⋅=⇒-n n t k 231-⋅=⇒-n n t k ，N t t ∈≥,2所以3232)1(31221--⋅=-++++=+++-n t n tt t k k k n n n（理）解：（1）⇒+=+n n n S a 31nn n S S 321+=+，n n n S b 3-=，*∈N n ，当3≠a 时，1111323333n n n n n n n nn n n b S S b S S ++++-+-==--=2，所以{}n b 为等比数列． 3311-=-=a S b ，12)3(-⨯-=n n a b ． （2） 由（1）可得12)3(3-⨯-=-n n n a S*-∈≥-=N n n S S a n n n ,2,1212)3(3221≥=⎩⎨⎧⨯-+⨯=--n n a a a n n n ； n n a a ≥+1，2112>⎩⎨⎧>>+n a a a a n n ，9-≥a 所以9-≥a ，且3≠a ．所以a 的最小值为 （3）由（1）当4=a 时，12-=n n b当2≥n 时，n n C 2423++++= 12+=n，31=C ，所以对正整数n 都有12+=n n C ． 由12+=n pt，n p t 21=-，(*∈N p t ,且1,1>>p t )，t 只能是不小于3的奇数．①当p 为偶数时，n p p pt t t 2)1)(1(122=-+=-，因为12+p t和12-p t 都是大于1的正整数，所以存在正整数h g ,，使得gp t 212=+，h p t 212=-，222=-h g ,2)12(2=--h g h ，所以22=h 且112=--h g 2,1==⇒g h ，相应的3=n ，即有233=C ，3C 为“指数型和”；②当p 为奇数时，)1)(1(112-++++-=-p p t t t t t ，由于121-++++p t t t 是p 个奇数之和，仍为奇数，又1-t 为正偶数，所以n p t t t t 2)1)(1(12=++++-- 不成立，此时没有“指数型和”．。

高2013级高三第二次诊断性测试地理注意事项：1.本试卷分第Ⅰ卷（选择题）和第Ⅱ卷（非选择题）两部分。

答题前，考生务必在将自己的姓名、考生号填写在答题卡上。

2.回答第Ⅰ卷时，选出每小题选出答案后，用铅笔把答题卡上对应题目的答案标号涂黑，如需改动，用橡皮擦干净后，再选涂其他答案标号。

写在试卷上无效。

3.回答第Ⅱ卷时，将答案卸载答题卡上，写在试卷上无效。

4.考试结束，将本试卷和答题卡一并交回。

地理部分第Ⅰ卷本卷共11小题。

每小题4分，共44分。

在每个小题给出的四个选项中，只有一项是符合题目要求的。

咸海(内流湖)原为世界第四大湖，因人类过度利用而迅速萎缩,2014年咸海大部分干涸消失。

图1为咸海区域图。

据此完成1~2题。

图11.根据水循环的原理，直接补给咸海最多的水体是A．地表径流B．地下径流C．大气降水D．冰雪融水2.咸海萎缩后带来的影响是A．灌溉用水减少B．耕地面积增加C．气温日较差增大D．沙尘暴频次降低温哥华是世界最宜居城市之一，1月平均气温为3℃，7月平均气温为17℃。

图2为世界局部地区7月份海平面等压线分布图，图3为温哥华附近等温线图。

据此完成3~5题。

图23.温哥华7月的主导风向为图3A．东北风B．东南风C．西北风D．西南风4.读图3，温哥华成为加拿大南部冬季暖和城市的主要影响因素是A．纬度B．洋流C．地形D．海陆分布5.图3中能正确表示7月等温线的是A．a B．b C．c D．d改革开放以来，常住外来人口(指非本地户籍却居留于该地半年以上的外来省市人口) 已经成为上海、北京等一线城市从业人员主力军，下表为“2011~ 2015年上海和北京常住外来人口增量（万人）表”。

据此完成6~8题。

年份2011 2012 2013 2014 2015 城市上海北京37.437.532.9731.634.7228.910.5316-14.773.96.2011~ 2015年期间上海和北京常住外来人口增量总体呈下降趋势的主要原因是D．房价上涨过快7.2014年、2015年上海常住外来人口增量较北京下降明显，是因为上海A．产业结构调整B．生活质量较差C．经济水平下降A．房价上涨速度超越北京C．城市环境质量较北京差B．经济的发展水平较北京慢D．周边城市群发展较北京快8.若上海常住外来人口持续下降，下列产业受其影响最大的是A．技术密集型B．劳动力密集型C．资金密集型D．资源密集型2016年3月，越南南部的湄公河三角洲正遭受百年来最严重旱情，湄公河水位也降至近90年最低，干涸的三角洲比往常提早2个月出现海水入侵现象。