2011.2.23.开封市第二次模拟考试
【物理】开封市中考第二次模拟考试精选试卷检测题

【物理】开封市中考第二次模拟考试精选试卷检测题一、初三物理欧姆定律易错压轴题(难)1.某实验小组在“探究电流与电阻的关系”实验中,按如图甲所示的电路图正确连接电路,逐次将不同阻值的电阻R接在a、b间,每次闭合开关前,滑动变阻器的滑片均移到阻值最大端。
(1)当接入的电阻R为5Ω时,闭合开关,电流表无示数,电压表示数如图乙所示,移动滑片,两表指针保持不动。
若电路中只有一处故障,则故障是______;电源两端的电压为______V;(2)排除故障后进行如下操作:①闭合开关,记录电流表示数;②移动滑片使电压表示数为U0时,记录电流表示数;③当接入的电阻R分别为10Ω、15Ω时,闭合开关,重复步骤2;④当接入的电阻R为R x时,闭合开关,电压表示数大于U0,记录电流表示数;⑤利用测得的数据绘制出如图丙所示的图像;(3)实验中,滑动变阻器消耗的最大功率为______W;(4)仍使用原有器材,若使以上四个电阻都能为实验所用,应控制a、b之间的电压至少为______V。
【答案】R断路 6 1.8 4.5【解析】【分析】【详解】(1)[1]闭合开关,电流表无示数,电压表有示数,移动滑片,两表指针保持不动,说明电路发生断路,且在电压表连接的两个接线柱之内,即电阻R断路。
[2]由图乙可知,电压表量程的选则是0~15V,分度值为0.5V,电压表的示数为6V。
(3)[3]由题意知,当刚闭合开关时,滑动变阻器滑片处于最大阻值处,根据图乙可知此时电路中的电流为0.3A,可得到滑动变阻器的最大阻值为6V-0.3A5Ω==15Ω0.3AabU URI-⨯=滑当接入的电阻R为R x时,闭合开关,此时滑动变阻器的阻值最大,电压表示数大于U0,由图知,电流表的示数为0.1A;此时电路的总电阻为16V==60Ω0.1AURI=总R x=R总-R滑=60Ω-15Ω=45Ω由图知,电阻两端的控制电压为U R=I1R1=0.6A×5Ω=3V根据传亮电路电压的规律可知U滑=U-U R=6V-3V=3V由图知,电路中的最大电流为0.6A,所以滑动变阻器的最大功率为P滑=U滑I大=3V×0.6A=1.8W(4)[4]由题意知,定值电阻的阻值不同,但两端的电压相同,当阻值为45Ω的定值电阻与整个滑动变阻器串联时,电路中的电流为x6V==0.1A45Ω+15ΩUIR R=+滑定值电阻两端的电压为U R=IR=0.1A×45Ω=4.5V所以,为保证在滑动变阻器范围内完成本实验,定值电阻两端电压不能低于4.5V。
【高三】河南省开封市届高三第二次模拟考试文综地理试题(word版)

【高三】河南省开封市届高三第二次模拟考试文综地理试题(word版)试卷说明:开封市届高三第二次模拟考试文综地理试题本试卷分第I卷(选择题)和第B卷(非选择题)两部分。
第I卷和第11卷共12页。
全卷共300分。
考试用时150分钟。
注意事项: 1.答卷前,考生务必将自己的学校、考场、考号、姓名、座号等填写(或涂黑)在答题卷的相应栏目内。
考试结束,仅收答题卷。
2.第I卷(选择题)选出答案后,用铅笔把答题卷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,不能答在试题卷上;把第11卷(非选择题)的答案,填写在答题卷上的相应栏目内。
第Ⅰ卷(选择题,共140分) P岛素有“冰与火的世界”自然环境恶劣,但能源丰富,得以发展温室农业以及多元化的工业,使得该国成为生活品质名列全球前20名之内的国家。
读图完成1――3题。
1.P岛都市近郊处处可见的温室,其能源主要为 A.地热B.水力C.沼气D.天然气2.P岛全年有雨、降水量多的原因是 A.常年副热带高气压带控制 B.位于极圈气旋带 C.辐射强烈多对流雨D.山高谷低多地形雨3.甲处等温线向北凸出的主要影响因素是 A.海陆热力差异 B.洋流 C.大气环流 D.人类活动人口机械增长率是指某地某时段内迁入与迁出人口数的差值与总人口之比。
读我国东部某省(市)2021 - 人口增长率变动图,回答4――5题。
4.图示时期该省(市)人口总数 A.持续上升B.持续下降 C.先增后减D.先减后增5.推断图示时期该省(市)人口机械增长率变化的主要原因是 A.城镇房价增长快B.经济水平持续下降 C.产业升级和转移D.自然灾害频繁发生右图是“某地的公路分布示意图”。
读图回答6――7题。
6.关于图中信息的分析,正确的是 A.①公路是乡村公路,②公路是高速公路 B.甲乙两地相对高度大C.②公路单位距离造价低 D.丙处是山谷7.图示地区最可能位于 A.东北平原B.云贵高原C.成都平原D.内蒙古高原我国的祁连山地长有“阴阳脸”(如图),即一侧山坡林木葱郁(“阳脸”),另一侧山坡草地青翠(“阳脸,’)。
河南省开封市中招第二次模拟考试数学试卷及答案

河南省开封市中招第二次模拟考试数学试题考生注意:1.本试卷共8页,三大题,满分120分,考试时间100分钟。
2.请用黑色笔直接答在答题卡上。
3.答卷前将密封线内的项目填写清楚。
一、选择题(本大题共8题,每小题3分.共24分)在每小题所给的四个选项中,只有一项是符合题目要求的,请把答案涂在答题卡上。
1.|-3|的相反数是 ( ) A .3 B .-3 C .31 D .-31 2. ,我国筹备成立亚洲基础设旌银行(亚投行)。
据统计,至年,亚洲各经济体的基础设施如果要达到世界平均水平,至少需要8 000 000 000 000 美元基建,将8 000 000 000 000用科学记效法表示应为 ( ) A . 08×1013 B .8×l013 C .8×1012 D .80×l011 3.下列几何体的主视图是三角形的是 ( )4.如右图,△ABC 中,∠A=90°,点D 在AC 边上,DE ∥BC ,若 ∠1=35°,则∠B 的度数为 ( ) A .25° B .35° C .55° D .65° 5.下列计算正确的是A . 3a-2a=lB . a 2 +a 5 =a 7C . (ab)3一ab 3D . a 2· a 4 =a 6 6.如右图,在平面直角坐标系中,以O 为圆心,适当长为半径画弧, 交x 袖于点M ,交y 轴于点N ,再分别以点M 、N 为圆心,大于 MN 的长为半径画弧,两弧在第二象限交于点P .若点P 的坐标 为(2a ,b+1),则a 与b 的数量关系为 ( ) A .a-b B .2a+b=-1 C .2a- b=l D .2a+b=l7.如右图,在菱形ABCD 中.AB=5,对角线AC=6.若过点A 作AE ⊥ BC ,垂足为E ,则AE 的长为 ( ) A .4 B .5 C .512 D .524, 8.如右图矩形ABCD 中.AD=8cm .AB= 6cm.动点E 从点C 开始 沿边CB 向点B 以2cm /s 的速度运动至点B 停止,动点F 从点C 同时出发沿边CD 向点D 以1cm/s 的速度运动至点D 停止,如 图可得到矩形CFHE .设运动时间为x(单位:s).此时矩形ABCD去掉矩形CFHE 后剩余部分的面积为y (单位:cm 2),则y 与x 之间的函数关系用图 象表示大致是下图中的 ( )二、填空题(本大题共有7题.每小题3分,共21分) 9.-32+38-+()2-5= .10.分式方程3932-+-x xx =1的解是 11.如右图,点B 在x 轴上,∠ABO=90°,∠A= 30°,OA=4,将 △OAB 绕点O 按顺时针方向旋转120°得到△OA'B ’,则点A ’ 的坐标是 。
2010-2023历年河南省开封市高三第二次模拟考试地理试卷(带解析)

2010-2023历年河南省开封市高三第二次模拟考试地理试卷(带解析)第1卷一.参考题库(共10题)1.阅读相关材料,回答下列问题。
(24分)材料l:首尔是韩国的首都,也是韩国最大的城市,人口一千多万。
首尔周边的首都城市圈积聚了韩国46%的人口和70%的GDP。
2012年9月14日起,韩国各政府部门相继从首尔迁往新的行政首都世宗市。
韩国政府计划在2020年前,将世宗市建设成一个具备尖端科学研究基地、尖端绿色产业、一流大学、能吸引全球投资的新型绿色城市。
材料2:泡菜是韩国的特色菜,其主要佐料之一是大蒜。
大蒜喜冷凉气候,大蒜为秋播作物,喜湿、喜肥、不耐旱、忌渍水,在发芽阶段忌阳光曝晒。
(1)从可持续发展的角度简要分析韩国把首都从首尔迁往世宗市的原因。
(8分)(2)概括世宗市未来的产业特点。
(8分)(3)为克服自然条件对种植大蒜的不利影响,当地农民播种时在原有土地上增铺了一层禾草,使大蒜的产量、质量显著提高。
说明禾草对大蒜生长自然条件的改善作用。
(8分)2.雾霾是空气中的灰尘、硫酸、硝酸、有机碳氢化合物等粒子与雾气结合在一起,使大气能见度降低,空气质量恶化的现象。
2013年1月9日8时左右拍摄的北京一条大街的街景(图甲);2013年1月12日8点左右,同一奈大街被雾霾笼罩(图乙)。
这一次笼罩京城的雾霾持续近一周,空气质量持续六级严重污染。
简析北京持续近一周雾霾天气、空气严重污染的成因。
(10分)3.下图为世界500强电子信息企业在华机构分布示意图,读图完成下题。
【小题1】下列说法正确的是A.地区总部集中分布在长江三角洲B.地区研发主要分布在中西部C.地区生产主要集中在东部地区D.地区联系程度西部强东部弱【小题2】现阶段,制约珠江三角洲地区电子信息产业发展的最主要条件是A.研发能力低B.地区联系弱C.交通通达度低D.劳动力数量少4.下图为某地区海平面等压线分布图。
回答下题。
【小题1】图中②地为A.西北风B.东南风C.西南风D.东北风【小题2】下列说法正确的是A.①地此时风力比②地强劲B.②地的气温年较差比①地大C.未来几天,北京可能出现阴雨天气D.此时,我国南北地区普遍高温5.2011年7月底在泰国南部地区因持续暴雨而引发的洪灾,至少造成366人死亡,两百万人受洪水影响,下图为东南亚部分地区示意图。
2023年河南省开封市中招第二次模拟考试物理试题(含答案)

2023年河南省开封市中招第二次模拟考试物理试题 学校:___________姓名:___________班级:___________考号:___________一、填空题1.物质世界,从宏观到微观,从天体到原子,都有很多的相似规律。
太阳系中行星们在各自的固定轨道上围绕恒星太阳运转,这与原子的______模型十分相似,其中,太阳相当于______,绕核运动的行星就相当于电子。
2.古筝是我国传统的民族乐器,如图所示。
能够区分古筝和二胡的声音,是利用了它们的______不同,改变拨动琴弦的力的大小可以改变声音的______。
(填声音的特性)3.河南特色美食开封小笼灌汤包已有百年历史,如图所示,远远地便能闻到鲜香味道,该现象说明分子在不停地______。
制作小笼包时,需要用手将包好馅料的面皮捏出褶皱。
该过程说明力可以改变物体的______。
若蒸制过程锅内约有1kg 的水,从20℃加热到沸腾(一个标准大气压下),该过程水的内能增加______J 。
()34.210J /kg c ⎡⎤=⨯⋅⎣⎦水℃4.如图所示是一捆直径为2mm 的铜丝,用电子秤称得其质量为1397.3g ,已知338.910kg /m ρ=⨯铜。
则这捆细铜丝的体积是______cm 3,长度是______m 。
(π取3.14)5.在如图所示的电路中,电源电压恒为9V ,小灯泡L 标有“6V ,3W”字样。
在A 、B 之间接入一个电压表(量程合适),闭合开关,则电压表的示数为______V ;在A 、B 之间接入一个定值电阻R ,小灯泡恰好能正常发光,则R 的阻值为______Ω,此时整个电路消耗的电功率为______W 。
二、简答题6.如图所示为我国古代火箭示意图,当点燃箭身上的火药后,箭就会腾空而起。
请你说出一条关于运动和力的关系的知识:_________。
再列举一个生活生产中与此原理相同的实例:_________。
三、单选题7.中国古代冶铁技术领先于世界水平。
2024届河南省开封市高三下学期第二次模拟考试理综物理试题

2024届河南省开封市高三下学期第二次模拟考试理综物理试题一、单选题 (共7题)第(1)题如图所示,空间中存在竖直向下的匀强磁场,一导体棒 MN绕固定的水平轴OO'在磁场中匀速转动,且始终平行于OO'。
导体棒 MN 两端的电势差 u随时间t变化的图像可能正确的是( )A.B.C.D.第(2)题图示为高速摄影机拍摄到的子弹穿过苹果瞬间的照片.该照片经过放大后分析出,在曝光时间内,子弹影像前后错开的距离约为子弹长度的1%~2%.已知子弹飞行速度约为500m/s,因此可估算出这幅照片的曝光时间最接近A.10-3s B.10-6sC.10-9s D.10-12s第(3)题如图,一理想变压器原副线圈的匝数比为1:2;副线圈电路中接有灯泡,灯泡的额定电压为220V,额定功率为22W;原线圈电路中接有电压表和电流表.现闭合开关,灯泡正常发光.若用U和I分别表示此时电压表和电流表的读数,则A.U=110V,I=0.2A B.U=110V,I=0.05AC.U=110V,I=0.2A D.U=110V,I=0.2A第(4)题把酒精灯火焰放在铁丝圈上的竖立的肥皂膜前。
发现在肥皂膜上观察到火焰的反射像上有彩色条纹,且上疏下密分布,如图,由此推测肥皂膜竖直方向侧向截面图可能是( )A.B.C.D.第(5)题压缩空气储能(CAES)是一种利用压缩空气来储存能量的新型储能技术,绝热压缩空气储能方式是压缩空气并将产生的热能储存在各种介质当中,比如混凝土、石头、矿洞矿石中等。
需要发电的时候让压缩空气推动发电机工作,这种方式能够将压缩空气储能的效率提升。
对于上述过程的理解,下列说法正确的是( )A.绝热压缩空气,分子平均动能不变B.绝热压缩空气,温度升高,气体内能一定增大C.该方式能够将压缩空气储能的效率提升到D.压缩空气推动发电机工作,是气体对外做功,内能增大第(6)题如图所示,电动打夯机由偏心轮(飞轮和配重物组成)、电动机和底座三部分组成。
河南开封市2011年高三理综第二次模拟考试(生物部分)

河南开封市2011年高三理综模拟考试(生物部分)一、选择题:(本题共13小题,每小题6分,共78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.图1是某细胞部分结构模式图。
图2是某一生物体内部分细胞分裂过程中的染色体变化模式图。
下列有关叙述正确的是A.图1所示的细胞是动物细胞B.图2中染色体变化,在癌细胞中可能出现的有a、C.图1结构③的基质中,[H]、结合形成水并释放大量能量D.若图1细胞能合成、分泌蛋白质,则其部分过程包括:2.某生物小组探究影响光合作用强度的因素。
将内部气体逸出的小圆形叶片(直径1cm)各20片放入富含的各大试管中。
以白炽灯作为光源,移动白炽灯调节其与大试管的距离,分别在10℃、20℃和30℃下进行实验,观察并记录不同距离下单位时间上浮的叶片数目,结果如右图。
下列叙述错误的是A.B点条件下叶片可进行光合作用B.A点、C点的限制因素分别为温度和光照强度C.若在缺镁的培养液中进行此实验,则B点向右移动D.光照前,将内部气体逸出的小圆叶片放黑暗处清水中待用3.抗菌药物能够抑制或杀死细菌,表中列出了部分抗菌药物的抗菌机理。
下列有关叙述正确的是B.青霉素、利福平、环丙沙星能抑制DNA的复制C.环丙沙星能抑制①、②过程,红霉素能抑制③过程D.环丙沙星只抑制酵母菌DNA在细胞质中的②、③过程4.桦尺蛾白天停歇在树干上,一般为浅色,借助与环境相似的体色躲避鸟类天敌。
在工业污染区,与非工业污染区相比黑色桦尺蛾的数量有增多的趋势。
为证实两种体色的桦尺蛾是因环境而不同的,进行探究。
记录、统计结果如右图。
下列有关叙述错误的是A.假设:在工业污染区,黑色蛾数量占优势B.将浅、黑色蛾分别释放到上述两区,然后诱捕、记录C.工业污染区黑色蛾占优势;非工业污染区浅色蛾占优势D.不同区域的树皮颜色不同,不同体色的蛾被捕食的概率不同,导致存活率不同5.右图为人体有关免疫的一系列变化的过程示意图,其中①~⑥表示过程,a~e 表示细胞或物质。
数学_2011年河南省开封市高考数学二模试卷(文科)(含答案)

2011年河南省开封市高考数学二模试卷(文科)一、选择题:本大题12小题,每小题5分,共60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 =R ,M ={x||x|>2},N ={x|x−3x−1≤0},则(∁U M)∩N =( ) A [1, 2] B (1, 2] C (1, 2) D [1, 2)2. 设复数z =1+i ,(i 是虚数单位),则z 2+2z =( ) A −1−i B −1+i C 1+i D 1−i3. 已知命题p:∃x ∈R ,有sinx +cosx =32;命题q:∀x ∈(0, π2),有x >sinx ;则下列命题是真命题的是( )A p ∧qB p ∨(﹁q)C p ∧(﹁q)D (﹁p)∧q4. 若某一几何体的正视图与侧视图均为边长是1的正方形,且其体积为12,则该几何体的俯视图可以是( )A B CD5. 已知tanα=4,则1+cos2α+8sin 2αsin2α的值为( )A 4√3B 654C 4D 2√326. 函数y =xa x |x|(0<a <1)的图象的大致形状是( )A B C D7. 已知不同的平面α、β和不同的直线m 、n ,有下列四个命题 ①若m // n ,m ⊥α,则n ⊥α; ②若m ⊥α,m ⊥β,则α // β;③若m ⊥α,m // n ,n ⊂β,则α⊥β; ④若m // α,α∩β=n ,则m // n , 其中正确命题的个数是( ) A 4个 B 3个 C 2个 D 1个8.已知等差数列{a n }的各项均为正数,观察程序框图:若n =3时,S =37;n =9时,S =919,则数列的通项公式为( ) A 2n −1 B 2n C 2n +1 D 2n +29. 已知平面直角坐标系内的两个向量a →=(1, 2),b →=(m, 3m −2),且平面内的任一向量c →都可以唯一的表示成c →=λa →+μb →(λ,μ为实数),则实数m 的取值范围是( ) A (−∞, 2) B (2, +∞) C (−∞, +∞) D (−∞, 2)∪(2, +∞)10. 已知双曲线x 2a 2−y 2b 2=1的一条渐近线方程为y =43x ,则双曲线的离心率为( ) A 54 B 53 C 34 D 3211. 函数f(x)=ln(x +1)−2x (x >0)的零点所在的大致区间是( )A (0, 1)B (1, 2)C (2, e)D (3, 4)12. 已知f(x)=ln(x 2+1),g(x)=(12)x −m ,若对任意x 1∈[0,3],存在x 2∈[1,2]使得f (x 1)≥g (x 2)成立,则m 的取值范围是( ) A [14,+∞) B [12,+∞) C (−∞,14] D (−∞,−12)二、填空题:本大题共4小题,每小题5分,共25分,把答案填在答题卡的相应位置. 13. (ax √x )8的展开式中x 2的系数为70,则a =________.14. 已知直三棱柱ABC −A 1B 1C 1的顶点都在球面上,若AA 1=2,BC =1,∠BAC =150∘,则该球的体积是________.15. 已知平面区域Ω={(x,y)|{y ≤x +1y ≥0x ≤1},M ={(x,y)|{y ≤−|x|+1y ≥0},向区域Ω内随机投一点P ,点P 落在区域M 内的概率为________. 16. 下面给出的四个命题中:①对任意的n ∈N ∗,点P n (n, a n )都在直线y =2x +1上是数列a n 为等差数列的充分不必要条件;②“m =−2”是直线(m +2)x +my +1=0与“直线(m −2)x +(m +2)y −3=0相互垂直”的必要不充分条件;③设圆x 2+y 2+Dx +Ey +F =0(D 2+E 2−4F >0)与坐标轴有4个交点A(x 1, 0),B(x 2, 0),C(0, y 1),D(0, y 2),则有x 1x 2−y 1y 2=0;④将函数y =cos2x 的图象向右平移π3个单位,得到函数y =sin(2x −π6)的图象.其中是真命题的有________(将你认为正确的序号都填上).三、解答题;本大题共6小题,共75分.解答应写出文字说明、证明过程或演算步骤. 17. 已知等差数列{a n }满足a 3=2,a 6=8. (1)求数列{a n }的通项公式;(2)若b n =(√2)a n ,求数列{a n b n }的前n 项和.18.如图,在棱长为2的正方体ABCD −A 1B 1C 1D 1中,E 、F 分别是棱CC 1,A 1D 1的中点.(1)证明:BF // 平面AED 1;(2)P 为BF 上异于F 的任意一点,求证:PF ⊥AE .19. 为了解高一年级学生身高情况,某校按10%的比例对全校700名高一学生按性别进行抽样检查,测得身高频数分布表如下: 表1:男生身高频数分布表表2:女生身高频数分布表(1)求该校高一男生的人数;(2)估计该校高一学生身高(单位:cm )在[165, 180)的概率;(3)在男生校本中,从身高(单位:cm )在[180, 190)的男生中任选3人,设ξ表示所选3人中身高(单位:cm )在[180, 185)的人数,求ξ的分布列和数学期望.20. 设椭圆C:x 2a 2+y 2b 2=1的左、右焦点分别为F 1、F 2,上顶点为A ,过A 与AF 2垂直的直线交x 轴负半轴于Q 点,且2F 1F 2→+F 2Q →=0. (1)求椭圆C 的离心率;(2)若过A 、Q 、F 2三点的圆恰好与直线x −√3y −3=0相切,求椭圆C 的方程;(3)在(2)的条件下,过右焦点F2的直线交椭圆于M、N两点,点P(4, 0),求△PMN面积的最大值.−1(a∈R)21. 已知函数f(x)=lnx−ax+1−ax(1)当a=−1时,求曲线y=f(x)在(2, f(2))处的切线方程;(2)当0≤a≤1时,试讨论f(x)的单调性.22. 已知C点在圆O直径BE的延长线上,CA切圆O于A点,∠ACB的平分线分别交AE、AB于点F、D.(1)求∠ADF的度数;(2)若AB=AC,求AC的值.BC2011年河南省开封市高考数学二模试卷(文科)答案1. B2. C3. D4. C5. B6. D7. B8. A9. D10. B11. B12. A13. ±1π14. 8√2315. 1216. ①③④17. 解:(1)设公差为d,则a6−a3=3d=6,∴ d=2.∵ a3=a1+2d=a1+4=2.∴ a1=−2.∴ a n=a1+(n−1)d=2n−4.(2)∵ b n=(√2)a n=2n−2.∴ S n=a1b1+a2b2+...+a n−1b n−1+a n b n①2S n =a 1b 2+a 2b 3+...+a n−1b n +a n b n+1 ②①-②:得−S n =a 1b 1+(a 2−a 1)b 2+...+(a n −a n−1)b n −a n b n+1=−2×12+2(1+2+...+2n−2)−(2n −4)⋅2n−1=−3−(n −3)⋅2n ; ∴ S n =3+(n +3)⋅2n 18. 证明:(1)取AA 1中点G ,连接FG ,BG ,则有FG // AD 1,BG // ED 1 又BG ∩FG =G ,∴ 平面BFG // 平面AED 1,BF ⊂平面BFG , ∴ BF // 平面AED 1.(2)连接BD ,FD ,则BD ⊥AC ,BD ⊥EC ,EC ∩AC =C , ∴ BD ⊥平面ACE ,AE ⊂平面ACE , ∴ BD ⊥AE .取D 1D 中点H ,连接AH ,EH ,可得FD ⊥AH ,FD ⊥EH ,EH ∩AH =H ,⇒FD ⊥平面AEH .AE ⊂平面AEH ,∴ AE ⊥FD ,BD ∩FD =D , ∴ AE ⊥平面BFD ,BF ⊂平面BFD , ∴ AE ⊥BF ,P 为BF 上任一点, ∴ AE ⊥PF . 19. 解:(1)样本中高一男生人数为2+5+14+13+4+2=40, 由分层抽样比例为10%可得高一男生人数为400.(2)由表1、表2知,样本中身高(单位:cm )在[165, 180)的学生人数为: 5+14+13+6+3+1=42,样本容量为70,所以样本中学生身高(单位:cm )在[165, 180)的频率f =4270=35, 故由频率f 估计该校学生身高(单位:cm )在[165, 180)的概率P =35.(3)样本中身高(单位:cm )在[180, 190)之间的男生有6人, 身高(单位:cm )在[180, 185)的男生有4人, 由已知得ξ的可能取值为1,2,3, P(ξ=1)=C 41C 22C 63=15,P(ξ=2)=C 42C 21C 63=35, P(ξ=3)=C 43C 20C 63=15,∴ ξ的分布列为:∴ Eξ=1×15+2×35+3×15=2.20. 设Q(x 0, 0).∵ F 2(c, 0),A(0, b),∴ F 2A →=(−c, b),AQ →=(x 0, −b) ∵ F 2A →⊥AQ →,∴ −cx 0−b 2=0,故 x 0=−b 2c ,又∵ 2F 1F 2→+F 2Q →=0,∴ F 1为F 2Q 的中点,故−2c =−b 2c+c ,即,b 2=3c 2=a 2−c 2,∴e =c a=12∵ e =ca =12,∴ a =2c ,b =√3c ,则F2(c, 0),Q(−3c, 0),A(0, √3c) ∴ △AQF2的外接圆圆心(−c, 0),半径r =12|F 2Q|=a =2c∴|−c−3|2=2c ,解得c =1,∴ a =2,b =√3椭圆C 的方程为x 24+y 23=1设直线MN:x =my +1,代入x 24+y 23=1,得,(3m 2+4)y 2+6my −9=0设M(x 1, y 1),n(x 2, y 2),∴ y 1+y 2=−6m 3m 2+4,y 1y 2=−93m 2+4,|y 1−y 2|=√(y 1+y 2)2−4y 1y 2=4√3√3m 2+33m 2+4∴ S △PMN =12|PF 2|⋅|y 1−y 2|=6√3√3m 2+33m 2+4,令√3m 2+3=λ≥√3, ∴ S △PMN =6√3λλ2+1=6√3λ+1λ≤√3√3λ+1√3λ=92∴ △PMN 面积的最大值为92,此时,m =021. 解:(1)当a =−1时y =lnx +x +2x −1(x >0), ∴ y′=1x +1−2x 2, ∵ f ′(2)=1,∴ 切线方程:y =x +ln2, (2)y′=−(x−1)(ax+a−1)x 2(x >0)①a =0时,f(x)在(0, 1)单调递减,在(1, +∞)单调递增; ②0<a <12时,f(x)在(0, 1)单调递减,(1,1−a a)单调递增,在(1−a a,+∞)单调递减;③a =12时,f(x)在(0, +∞)单调递减; ④12<a <1时,f(x)在(0,1−a a)单调递减,在(1−a a,1)单调递增,在(1, +∞)单调递减;⑤a =1时,f(x)在(0, 1)单调递增,在(1, +∞)单调递减; 22. ∵ CA 切圆O 于A 点, 由弦切角定理,可得∠CAE=∠B又∵ CD为∠ACB的角平分线,∴ ∠ACD=∠BCD∴ ∠ACD+∠CAE=∠B+∠BCD即∠ADF=∠AFD又∵ BE为圆O的直径∴ ∠DAF=90∘∴ ∠ADF=45∘若AB=AC,则∠CAE=∠B=∠ACB=30∘则ACBC =√33。
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开封市第二次模拟考试第Ⅰ卷第二部分英语知识运用(共两节,满分45分)第一节单项填空(共15小题;每小题1分,满分15分)21.---We had______really dry December this year?----I can’t remember__________winter when it rained so little.A. a;aB. a;/C./;theD.the;a22.However,at times this balance in nature is disturbed,______a number of possibly unforeseen effects.A.lying inB. calling inC. taking inD.resulting in23.If tap water were as dangerous as some people think,________would be getting sick.A.a lot more of usB. more a lot of usC. a lot of us moreD.a lot of more us24.---What should I do with the passage?-----________the main idea of each paragraph.A.Finding outB. Found outC.To find outD.Find out-Turnoff Week,_________millions of people around the world participate every year.A. whichB. on whichC.in whichD.where26.---How about buying Sam a mobile phone?After all,he isn’t a boy any more.----I think it necessary,for we sometimes want to make sure if he_______home for dinner.esB. will comeC. has comeD.would come27.The fact that people are afraid to go out at night is often a result of perceived(感知的)danger_______actual danger.A.other thanB.more thanC.rather thanD.better than28.The Chinese yuan rose to a new high________the US dollar on Monday,China Daily has reported.A. throughB. ofC. forD.against29.---I’m going to visit China next month.----________I wish I could go with you.A. Congratulations!B. Sorry,I can’t go.C. Good for you!D.Oh,how soon?30.Losing weight is not an easy task.A lot of people who lost weight gain it back over time and end up back_______they started.A.whereB. thoughC. sinceD.after31.---Was Martin sorry for what he had done?----__________.It was just like him.A. Not really.B. Never mind.C. All rightD.Not surprisingly32.A survey of the opinions of experts________that three hours of outdoor exercise a week_____good for one’s health.A. show;areB. shows;isC. show;isD.shows;are33.What’s your opinion of Mr.Li’s request that we________spend half an hour reading English aloud every morning?A.wouldB.shouldC. mustD.could34.---Tony,come down and help me with the heavy box!----Come on!I________all day long.Get Peter to do that!A. workB. was workingC.had workedD.have been working35.All her time_________experiments,she has no time to see films.A. devoted to doB. devoted to doingC. devoting to doingD.is devoted to doing第二节完形填空(共20小题;每小题1.5分,共30分)My father enjoys bike riding.Ever since I was little,I have always loved going biking with my dad. 36 ,as I became a teenager,other things began to draw my 37 .Suddenly,it became important to do things with 38 .I just saw my dad every evening at home.Why did I have to 39 my Sundays to allday bike trips with him?I was really not interested in it.When my indifference(冷漠)hurt him,my father always kept 40 ,but he would usually let me know when he was planning a bike trip 41 I wanted to come with him.It was a Sunday morning,and I was 42 low spirits.Two of my friends had gone to the movies without inviting me.Just then my father 43 my room.“It is a beautiful day.Want to go for a 44 ,today,Beck?”“Leave me alone!”I impatiently 45 .Those were the last words I said to him before he left the house that 46 .Several hours later,the police called us, 47 us that Dad had a traffic accident.My father’s injuries were serious.It took several days before he could 48 speak.Beside his bed I held his hand gently, 49 of hurting him.“Daddy…I am sorry…”“It’s okay,my dear.I’ll be okay.”“No,”I said,“I 50 what I said to you that day.Y ou know,that morning?”“My dear,I don’t 51 anything about that day.I only remember kissing you good night the night before.”He managed a weak smile.I felt 52 for my thoughtless remark,for I 53 wanted him to leave me alone in my heart.My teacher once told me that 54 have immeasurable power.They can hurt or they can heal.And we all have the 55 to choose our words.I intend to do that very carefully from now on.36.A.Therefore B. Instead C. Besides D.However37.A.attention B. sight C. effort D.energy38.A.Dad B.friends C. teachers D.brothers39.A.start B.save C. devote D.waste40.A.silent B .busy C. asleep D. awake41.A.unless B.in case C. as soon as D.even if42.A. in B. above C. from D.under43.A.left B. checked C.entered D.cleaned44.A.ride B.walk C.picnic D.game45.A.whispered B.warned C.announced D.shouted46.A.noon B. morning C. afternoon D.evening47.A.persuading B. questioning rming D.requiring48.A.eventually B. generally C.strictly D.angrily49.A.tired B. afraid C.aware D.fall50.A.discuss B. think C.understand D.mean51.A.envy B.forget C.remember D.like52.A.tired B. excited C.careful D.regretful53.A.often B.never C. even D.once54.A. apologies B. promises C.smiles D.words55.A .experience B. honor C. right D.desire第三部分阅读理解(共20小题;每小题2分,共40分)第一节(共15小题;每小题2分,共30分)AIt was about midday.I’d left work early in the morning to cash a cheque.I walked along to the bank,and found that there weren’t too many people about ten or eleven customers in there,which was pretty unusual for those central city banks.I waited until it was my turn and just went up to the desk and started to talk to the bank clerk.He had a really strange expression on his face---just sort of blank stare at least I thought he was looking at me and then I realized he was staring over my shoulder.I began to turn round to see what he was looking at.At the same moment the outside bank guard came flying through the door and lay face down on the floor and following him through the door were three frightening masked men.They were carrying guns;at least I think the one on front was carrying a gun.Whether or not they said anything at that point I can’t remember to this day,ir whether people just automatically put their hands up I’ve just no idea.For a few moments there was just total silence,suddenly broken by the telephone ringing and I remember thinking and wondering who was on the other end of the telephone.Nobody went to answer the telephone,so this thing just kept on ringing and ringing.Then two of the masked men went to the counter,jumped over it and got the cashiers and the bank clerks to start filling the bags with cash.While the two were getting the money,the one at the door who was covering us with the gun was a bit frighted.He started swearing at them,and telling them to hurry up,to get a move on.They jumped back over the counter.One of them slipped as he landed on the floor and fell over and the other two swore at him again.They left through the door.Warning us,“Don’t move,stay like that with your hands up for ten minutes.”And then they just disappeared.Again back to total silence.People put their hands down but I just stayed exactly where I was.56.What does the writer mean by saying“…a pretty unusual number for those central banks”in the first paragraph.A.More customers than usual were staying in the bank.B.Less bank clerks than expected were in the bank.C. There were often more than a dozen customers in the bank.D.More banks should be open to serve customers in the city center.57.The bank clerk wore a blank expression on his face probably because___________.A. he was feeling upset at that momentB. he felt puzzled and sensed something terribleC. he was required to keep silenceD.he was threatened with a gun by robbers58.Which of the following is true according to the passage?A.The custmomers didn’t wait in line but jumped the queue because of the confusionB. All the people in the bank except the writer put their hands up automaticallyC.Nobody answered the phone because all the clerks were busy with workD.the bank workers were foreced to fill the robbers’ bags with cash59.What’s the best title of this passage?A.A Street GangB. A Strange BankC.A Bank RobberyD.A Horrible AdventureBWinter depression(or winter blues)is a common suffering for those who live in our northern climate.Its clinical name is seasonal affective disorder(SAD)and up to 5% of the population(especially in northern states)may suffer from it.SAD is characterized by(其特点是)feelings of sadness and depression that occur in the winter months when the temperature drops and the days grow short.The depression is often associated with excessive eating or sleeping and weight gain.Women are twice to three times more likely to suffer from the winter depression than men.There are many effective treatments for winter depression,some of which you can do to help yourself.Increasing your daily exposure to as much natural light as possible can be helpful to many.Any time that you have the opportunity to gain access to more sunlight in the winter months,you should try to do so.Taking walks throughout the day(even if you don’t normally do so),sitting next to a south-facing window at your office,in a classroom,or at home will increase your sunlight exposure.Exercising next to a window or outdoors when possible is another activity that can help.Although it may be difficult to do,maintaining your schedule and lifestyle will help to keep the depression at bay.A regular pattern of sleep is the most important thing to maintain.It may be helpful,for example,to have your bedroom lights on a timer to turn on a half-hour before you wake.This may help in waking at a regular time every morning,when it is still dark outside in the winter months.Light treatment has shown to be effective for seasonal affective disorder.While you can buy expensive and specialized light treatment lighting fixtures for your home or office,some inexpensive alternatives are also available.Another lighting technique to try is to replace commonly used light bulbs in your home with brighter full spectrum(also known as broad spectrum)light bulbs.While more expensive than regular light bulbs,these bulbs provide light that is similar to natural sunlight.If none of these techniques seem to help your depressive symptoms,you should consider consulting a doctor or a mental health preofessional.The winter blues are a form of depression and can be readily treated with medicine or psychoterapy(心理疗法)when other self-help methods aren’t effective.Don’t be afraid to talk about this condition with a professional;it’s nothing to be ashamed of afraid of.With a little effort,the winter blues can be beaten.60.What do we know about winter depression according to the passage?A.It is very common where the weather is cool.B.It may lead to weight gain.C.It always occurs in southern states.D.It seldom affects men.61.What is the most important factor in the treatment introduced in the second paragraph?A.Exposure to natural lightB.Sports in winter months.C.Outdoor activitiesD.Exercising indoors.62.For winter depression,light treatment___________.A.is much more difficult than other kinds of therapyB.is so expensive that some may not be able to afford itC.encourages people to do indoor exercisesD.needs specialized bulbs to replace ordinary ones63.We can infer from the passage that_______.A.self-help methods do not work completelyB.psychotherapy is much more effective than medicineC.mental health professionals don’t recommend self-help methodsD.most people prefer self-help methods to medicationsCChildren of all ages love birthday parties at the Staten Island Zoo.Where else can you invite real party animals to join in the fun?Who is invited?Parties at the Staten Island Zoo are designed for children who are turning 4 years old and older,with a maximum group size of 15 children and 4 adults.Along with your human guests,2-3live animals will also be invited into your party room.No need for more introductions.By the end of your party,our teachers will make sure everyone is well familiar with their new scaly(有鳞的),feathery or furry friends.What is included?Each party lasts an hour and a half(two hours if pizza is included)and includes live animal demonstration,games or stories,and animal skills.Each member will receive a bag of attractive things to take home for fun.Besides,birthday invitations will be given to you for giving to your guests.Birthday party themesChoose from four different themes:Animal TracksDiscover different trpes of animal’s feet and their purpose.Track some animals and then make a track-home plaster mould(石膏模型).African SavannahJoin in the fun at exploring the mysteries of the African Savannah.Learn about favorite foods of the Savannah’s people and make an animals mask to enjoy the fun.Tropical RainforestListen to the sounds of the jungle and find where the animals live.Creat a colorful rainforest bird.Barnyard FriendsStories,games,activities and crafts will all focus on the difference between wild and domestic(家养的)animals.Make a small bookmark to use at home.CostsPizza,ice cream cake,juice and party(includes cultery,paper plates,sups and napkins)---$370 Staten Island Zoo members/$400 non-membersParty only---$250 Staten Island Zoo members/$275 non-members64.What’s special about the birthday parties at the Staten Island Zoo?A. There are 19 people in one party at least.B.Parties are intended for those who are just 4 years old.C.It is necessary to introduce the strangers at the parties.D.Live animals will take part in the birthday parties.65.If you choose a theme of Tropical Rainforest,what kind of works of art can you make?A. A take-home plaster mouldB. A colorful rainforest birdC.An animal maskD.A small bookmark to use at home66.Non-members who only plan to hold a party at the Staten Island Zoo should pay______.A. $250B.$275C. $370D.$40067.What can we learn from the passage?A.All birthday parties last one and a half hours.B.We should buy birthday invitations for our guests at the zoo.C.Animals will make a performance at the party.D.Any party member will be given a bag to store rubbish at the party.DToday in schools,it’s not unusual for students to sit in the same kinds of desks in the same kinds of classrooms as their parents did.Schools have made progress by making use of computers and PDAs in the classroom,yet one design company believes that changes are needed,so they describe what a future classroom may look like.“Kids are being taught to sit at these wooden desks that are basically designed for writing,”said Mark Dziersk,the senior vice president of the design.“They’re being lectured in a structured environment.”The solution is a “customizable(按主顾的意思制造)education system”called Gooru that reorganizes the classroom and replaces books,desks,pens,and so on.The three-part technology system consists of an interacitve PDA called the GooBall,a backpack and a removable LCD screen for each student.Students can sit,stand or lie down when using the devices,and are not limited to desks.The idea was presented at last month’s South by Southwest Interactive Conference.While some educatiors think the idea is interesting,they doubt whether schools will pay for the expensive and complicated system.The GooBall is a co-operative communication device with six layers of learning software.The device monitors a student’s heart rate and body temperature and uses GPS(Global Position System)to track where they are.It includes instant messaging,a compass,a watch,an a topic-specific quick-thinking system that directs a student to related articles and books about whatever they are studying.Students can also choose an animalpainting to show their personal items.The pocket keeps items locked tight with a fingerprint security zipper.The portable screen functions like a laptop,providing wireless Internet access and streaming viedo.It also has a touch screen surface.“I think it’s an excellent idea,”said Gary Tankard,a sixth-grader who has seen the prototype(原型).“I’m sure that 90 percent of kids would really like to have it.”68.The purpose of writing the passage is_________.A.to introduce an advanced education systemB.to advocate reforming the environment in schoolsC.to suggest that students are not studying in the traditional wayD.to advertise for the interactive communication69.From the passage we can infer that_______.A.students must use the mouse to operate the deviceB. students don’t need a key to open the deviceC. the device is very cheap to buyD.the device will be widely used in schools70.What can the GooBall do?A.It tests a studen’s physical conditionB. It plays the role of a laptopC. It makes students confused about choosing booksD.It supplies the power to the system 第二节(共5小题;每小题2分,满分10分)根据短文内容,从短文后的选项中选出能填入空白处的最佳选项(选项中有两项为多余选项),并在答案卡上将该项涂黑。