单元检测卷15
浙教版八年级上册科学 第一章 水和水的溶液 单元检测卷(含答案)
第一章水和水的溶液单元检测卷一、选择题(共15题;共30分)1.11月19日,记者从省气象局获悉,浙江全省正面临“区域性较严重干旱”。
江山、常山两地达“重旱”,另有42个县(市、区)达“中旱”,22个县(市、区)达“轻旱”。
全省气象干旱面积约9.78万平方公里,占全省总面积90%以上。
10月3日至11月18日,全省平均降水量比常年同期偏少八成,这让浙江很“受伤”。
下列说法正确的是( )A. 浙江今年夏秋季节盛行西北风,所以没下雨B. 空气中的水汽凝结成水珠后一定会降水C. 人们可以用干冰进行人工降雨缓解局部干旱问题D. 我国水资源的空间分布特点是东多西少,北多南少2.如图,一条小溪中有一个小球随着溪流漂流而下,则此小球所受浮力的方向应是( )A. F1B. F2C. F3D. F4第2题图第3题图3.科学家用石墨烯膜制成"筛子",可以筛掉盐类物质.当海水流过该膜时,钠离子和氯离子被水分子包裹而不能通过,独立的水分子却能通过(如图).下列关于石墨烯膜“筛掉”氯化钠的说法错误的是()A. 该过程属于物理变化B. 该过程可应用于海水淡化C. “筛掉”氯化钠过程类似于过滤操作D. “筛掉”氯化钠后的海水溶质质量分数增大4.水是最常见的物质,下面是小北同学对水的认识,你认为正确的是()①水是由氢气和氧气组成的;②水是生物生存所需的最基本的物质;③水通常以固、液、气三态存在;④在实验室中,水是最常用的溶剂⑤在加热情况下,水会分解成氢气和氧气;⑥水是由氧和氢组成的一种物质A. ①②B. ①②③⑤C. ②③④⑥D. ①②③④5.小明将一只橘子放在水中后,发现橘子漂浮在水面上,取出后用毛巾擦干,然后剥去橘子皮,再放入水中,发现去皮的橘子沉在水底了.关于这个现象,不能说明的结论是( )A. 橘子剥皮后密度变小B. 橘子皮的密度比橘子果肉的密度小C. 橘子剥皮后排开水的体积变小D. 橘子剥皮后受到的浮力变小6.为了探究影响物质溶解性的因素,设计了如下表所示的实验方案,该实验无法探究的因素是()A. 溶质种类B. 溶剂种类C. 溶液温度D. 颗粒粗细7.为了缓解我国北方水资源不足的状况,国家正在实施南水北调工程。
七年级上册历史第一单元检测卷及答案
七年级上册历史第一单元检测卷及答案一、选择题(本大题共15小题,每小题4分,共60分)1.促使原始人过定居生活的根本原因是 ( )A.自然环境的优劣B.原始农业的发展C.氏族公社的形成D.学会建造房屋的技术2.世间万物,资源无处不在,比如石头,但直到人类的出现,将石头当成工具来使用,才让它们产生了价值。
最有可能使用下列石制工具的原始人类是 ( )A.元谋人B.北京人C.山顶洞人D.河姆渡人3.下列有关我国境内早期人类及其生活状况的叙述,正确的是( )①元谋人知道使用火②北京人能用打制方法制作出尖状器、刮削器等石器③北京人生活在周口店龙骨山上④元谋人生活在黄河流域A.①②③B.①②④C.②③④D.①③④4. “我来自元谋,你来自周口,牵起你毛茸茸的手,爱让我们直立行走。
”这首在网络上颇为流传的诗句,让我国境内的远古人类蒙上了一层神秘而浪漫的薄纱。
下列远古人类中,生活在周口店的是()A.元谋人 B.北京人 C.半坡人 D.河姆渡人5.某考古学家在日记中这样写道:“我们在这里发掘过一座完整的土木建筑的房子,在里面发现了一些小罐罐,打开一看,竟然是小米,只是没有米瓤。
”文中的“土木建筑的房子”可能是( )A.山洞B.半地穴式房子C.砖木瓦房D.干栏式房屋6.史书载述,我国原始社会时期,“神农耕而作陶”。
其反映的历史现象是 ( )A.半坡原始居民过着以农耕为主的定居生活B.河姆渡人会制作陶器C.原始农业的发展促进了原始手工业的产生D.河姆渡人会运用雕刻技术7.原始人类经历了从群居到聚族而居、从采集到种植、从狩猎到饲养家畜的演进过程。
推动上述演进的主要因素是 ( )A.建筑技术的进步B.人工取火的发明C.饲养水平的提高D.生产工具的改进8. 你若要实地考察我国北方原始居民最早种植粟的遗址,应到( )A.云南元谋 B.北京周口店 C.陕西西安 D.浙江余姚9. 你认为下列远古居民最有可能住在下图所示房屋的是()A .元谋人B .北京人C .半坡人D .河姆渡人10.北京2008年第29届奥运会吉祥物是5个具有民族特色的福娃,其中福娃贝贝的头部文饰,借鉴了中国古代彩陶中的鱼纹装饰图案.看到这个可爱的福娃,我们应该感谢制造这种彩陶的 ( )A.北京人B.河母渡原始居民C.半坡原始居民D.大汶口原始居民11. 2008年11月至2009年1月,“至尊国礼”(即世界各国领导人馈赠给我国领导人的珍贵礼品)在西安半坡博物馆隆重展出。
2020年苏科版七年级数学上学期《第3章代数式》单元检测卷(含答案)
《第3章代数式》单元测试卷一.选择题(共15小题)1.下列代数式书写规范的是()A.a×2B.2a C.(5÷3)a D.2a22.某企业今年1月份产值为x万元,2月份的产值比1月份减少了10%,则2月份的产值是()A.(1﹣10%)x万元B.(1﹣10%x)万元C.(x﹣10%)万元D.(1+10%)x万元3.如果m﹣n=5,那么﹣3m+3n﹣7的值是()A.﹣22B.﹣8C.8D.﹣224.下列各组单项式中,是同类项的是()A.与a2b B.3x2y与3xy2C.a与1D.2bc与2abc5.下列化简正确的是()A.2a+3b=5ab B.7ab﹣3ab=4C.2ab+3ab=5ab D.a2+a2=a46.去括号正确的是()A.﹣(3x+2)=﹣3x+2B.﹣(﹣2x﹣7)=﹣2x+7C.﹣(3x﹣2)=3x+2D.﹣(﹣2x+7)=2x﹣77.填在如图各正方形中的四个数之间都有一定的规律,按此规律得出a、b的值分别为()A.10、91B.12、91C.10、95D.12、958.如图,△ABC的面积为1.第一次操:分别延长AB,BC,CA至点A1,B1,C1,使A1B =AB,B1C=BC,C1A=CA,顺次连接A1,B1,C1,得到△A1B1C1.第二次操作:分别延长A1B1,B1C1,C1A1至点A2,B2,C2,使A2B1=A1B1,B2C1=B1C1,C2A1=C1A1,顺次连接A2,B2,C2,得到△A2B2C2,…按此规律,要使得到的三角形的面积超过2016,最少经过()次操作.A.6B.5C.4D.39.下列各式﹣mn,m,8,,x2+2x+6,,,中,整式有()A.3个B.4个C.6个D.7个10.下列式子:x2+1,+4,,,﹣5x,0中,整式的个数是()A.6B.5C.4D.311.已知一个单项式的系数是2,次数是3,则这个单项式可以是()A.2y3B.2xy3C.﹣2xy2D.3x212.在代数式a+b,x2,,﹣m,0,,中,单项式的个数是()A.6B.5C.4D.313.下列说法错误的是()A.﹣xy的系数是﹣1B.﹣c是五次单项式C.2x2﹣3xy﹣1是二次三项式D.把多项式﹣2x2+3x3﹣1+x按x的降幂排列是3x3﹣2x2+x﹣114.下面的说法错误的个数有()①单项式﹣πmn的次数是3次;②﹣a表示负数;③1是单项式;④x++3是多项式.A.1B.2C.3D.415.一个多项式加上3x2y﹣3xy2得x3﹣3x2y,则这个多项式是()A.x3+3xy2B.x3﹣3xy2C.x3﹣6x2y+3xy2D.x3﹣6x2y﹣3x2y二.填空题(共6小题)16.对单项式“0.8a”可以解释为:一件商品原价为a元,若按原价的8折出售,这件商品现在的售价是0.8a元,请你对“0.8a”再赋予一个含义:.17.如图,将长和宽分别是a,b的长方形纸片的四个角都剪去一个边长为x的正方形.用含a,b,x的代数式表示纸片剩余部分的面积为.18.若a、b互为相反数,c、d互为倒数,则2(a+b)﹣3cd=.19.和统称为整式.20.单项式﹣的系数是.21.多项式2x3﹣3x4+2x﹣1有项,其中次数最高的项是.三.解答题(共3小题)22.请将下列代数式进行分类(至少三种以上),a,3x,,,,a2+x,4x2ay,x+8.23.为了加强公民的节水意识,合理利用水资源,我市采用价格调控的手段达到节水的目的,我市自来水收费的价目表如下表(注:水费按月份结算,m3表示立方米):价目表每月用水量单价不超出6m3的部分2元/m3超出6m3不超出10m3的部分4元/m3超出10m3的部分8元/m3注:水费按月结算请根据如表的内容解答下列问题:(1)填空:若该户居民2月份用水4m3,则应收水费元;(2)若该户居民3月份用水am3(其中6m3<a<10m3),则应收水费多少元?(用含a 的代数式表示,并化简)(3)若该户居民4,5两个月共用水15m3(5月份用水量超过了4月份),设4月份用水xm3,求该户居民4,5两个月共交水费多少元?(用含x的代数式表示,并化简)24.已知多项式﹣5x2a+1y2﹣x3y3+x4y.(1)求多项式中各项的系数和次数;(2)若多项式是7次多项式,求a的值.参考答案与试题解析一.选择题(共15小题)1.下列代数式书写规范的是()A.a×2B.2a C.(5÷3)a D.2a2【分析】根据代数式的书写要求判断各项.【解答】解:选项A正确的书写格式是2a,B正确的书写格式是a,C正确的书写格式是a,D正确.故选:D.【点评】代数式的书写要求:(1)在代数式中出现的乘号,通常简写成“•”或者省略不写;(2)数字与字母相乘时,数字要写在字母的前面;(3)在代数式中出现的除法运算,一般按照分数的写法来写.带分数要写成假分数的形式.2.某企业今年1月份产值为x万元,2月份的产值比1月份减少了10%,则2月份的产值是()A.(1﹣10%)x万元B.(1﹣10%x)万元C.(x﹣10%)万元D.(1+10%)x万元【分析】直接利用2月份比1月份减少了10%,表示出2月份产值.【解答】解:∵1月份产值x亿元,2月份的产值比1月份减少了10%,∴2月份产值达到(1﹣10%)x亿元.故选:A.【点评】本题考查了列代数式,理解各月之间的百分比的关系是解题的关键.3.如果m﹣n=5,那么﹣3m+3n﹣7的值是()A.﹣22B.﹣8C.8D.﹣22【分析】把(m﹣n)看作一个整体并代入所求代数式进行计算即可得解.【解答】解:∵m﹣n=5,∴﹣3m+3n﹣7=﹣3(m﹣n)﹣7,=﹣3×5﹣7,=﹣15﹣7,=﹣22.故选:D.【点评】本题考查了代数式求值,整体思想的利用是解题的关键.4.下列各组单项式中,是同类项的是()A.与a2b B.3x2y与3xy2C.a与1D.2bc与2abc【分析】本题考查同类项的定义,所含字母相同且相同字母的指数也相同的项是同类项,同类项与字母的顺序无关.【解答】解:A、a2b与a2b是同类项;B、x2y与xy2不是同类项;C、a与1不是同类项;D、bc与abc不是同类项.故选:A.【点评】同类项定义中的两个“相同”:(1)所含字母相同;(2)相同字母的指数相同,是易混点,还有注意同类项与字母的顺序无关.5.下列化简正确的是()A.2a+3b=5ab B.7ab﹣3ab=4C.2ab+3ab=5ab D.a2+a2=a4【分析】直接利用合并同类项法则分别计算得出答案.【解答】解:A、2a+3b无法计算,故此选项不合题意;B、7ab﹣3ab=4ab,故计算错误,不合题意;C、2ab+3ab=5ab,正确,符合题意;D、a2+a2=2a2,故计算错误,不合题意;故选:C.【点评】此题主要考查了合并同类项,正确掌握运算法则是解题关键.6.去括号正确的是()A.﹣(3x+2)=﹣3x+2B.﹣(﹣2x﹣7)=﹣2x+7C.﹣(3x﹣2)=3x+2D.﹣(﹣2x+7)=2x﹣7【分析】依据去括号法则判断即可.【解答】解:A、﹣(3x+2)=﹣3x﹣2,故A错误;B、﹣(﹣2x﹣7)=2x+7,故B错误;C、﹣(3x﹣2)=﹣3x+2,故C错误;D、﹣(﹣2x+7)=2x﹣7,故D正确.故选:D.【点评】本题主要考查的是去括号,掌握去括号法则是解题的关键.7.填在如图各正方形中的四个数之间都有一定的规律,按此规律得出a、b的值分别为()A.10、91B.12、91C.10、95D.12、95【分析】分析前三个正方形,发现“右上的数=左上的数+3,左下的数=左上的数+4,右下的数=右上的数×左下的数+1”,依此即可得出a、b、c的值.【解答】解:分析正方形中的四个数:∵第一个正方形中0+3=3,0+4=4,3×4+1=13;第二个正方形中2+3=5,2+4=6,5×6+1=31;第三个正方形中4+3=7,4+4=8,7×8+1=57.∴c=6+3=9,a=6+4=10,b=9×10+1=91.故选:A.【点评】本题考查了规律型中的数字的变换类,解题的关键是分析正方形中四个数找出它们之间的关系“右上的数=左上的数+3,左下的数=左上的数+4,右下的数=右上的数×左下的数+1”.本题属于基础题,难度不大,解决该题型题目时,根据给定的正方形中的4个数,找出它们之间的关系是关键.8.如图,△ABC的面积为1.第一次操:分别延长AB,BC,CA至点A1,B1,C1,使A1B =AB,B1C=BC,C1A=CA,顺次连接A1,B1,C1,得到△A1B1C1.第二次操作:分别延长A1B1,B1C1,C1A1至点A2,B2,C2,使A2B1=A1B1,B2C1=B1C1,C2A1=C1A1,顺次连接A2,B2,C2,得到△A2B2C2,…按此规律,要使得到的三角形的面积超过2016,最少经过()次操作.A .6B .5C .4D .3【分析】先根据已知条件求出△A 1B 1C 1及△A 2B 2C 2的面积,再根据两三角形的倍数关系求解即可.【解答】解:△ABC 与△A 1BB 1底相等(AB =A 1B ),高为1:2(BB 1=2BC ),故面积比为1:2, ∵△ABC 面积为1, ∴S △A 1BB 1=2.同理可得,S △C 1B 1C =2,S △AA 1C =2,∴S △A 1B 1C 1=S △C 1B 1C +S △AA 1C +S △A 1B 1B +S △ABC =2+2+2+1=7; 同理可证S △A 2B 2C 2=7S △A 1B 1C 1=49, 第三次操作后的面积为7×49=343, 第四次操作后的面积为7×343=2401.故按此规律,要使得到的三角形的面积超过2016,最少经过4次操作, 故选:C .【点评】本题考查了图形的变化规律,解答此题的关键是找出相邻两次操作之间三角形面积的关系,再根据此规律求解即可. 9.下列各式﹣mn ,m ,8,,x 2+2x +6,,,中,整式有( )A.3个B.4个C.6个D.7个【分析】根据整式的定义,结合题意即可得出答案.【解答】解:整式有﹣mn,m,8,x2+2x+6,,,故选:C.【点评】本题主要考查了整式的定义,注意分式与整式的区别在于分母中是否含有未知数.10.下列式子:x2+1,+4,,,﹣5x,0中,整式的个数是()A.6B.5C.4D.3【分析】根据整式的定义进行选择即可.【解答】解:整式有x2+1,,﹣5x,0,共4个,故选:C.【点评】本题考查了整式的定义,掌握整式的定义是解题的关键.11.已知一个单项式的系数是2,次数是3,则这个单项式可以是()A.2y3B.2xy3C.﹣2xy2D.3x2【分析】根据单项式系数、次数的定义来求解.单项式中数字因数叫做单项式的系数,所有字母的指数和叫做这个单项式的次数.【解答】解:此题规定了单项式的系数和次数,但没规定单项式中含几个字母.A、2y3系数是2,次数是3,正确;B、2xy3系数是2,次数是4,错误;C、﹣2xy2系数是﹣2,次数是,3,错误;D、3x2系数是3,次数是2,错误.故选:A.【点评】此题考查单项式问题,解答此题需灵活掌握单项式的系数和次数的定义.12.在代数式a+b,x2,,﹣m,0,,中,单项式的个数是()A.6B.5C.4D.3【分析】根据单项式的概念判断即可.【解答】解:x2,﹣m,0是单项式,故选:D.【点评】本题考查的是单项式的概念,数或字母的积组成的式子叫做单项式,单独的一个数或字母也是单项式.13.下列说法错误的是()A.﹣xy的系数是﹣1B.﹣c是五次单项式C.2x2﹣3xy﹣1是二次三项式D.把多项式﹣2x2+3x3﹣1+x按x的降幂排列是3x3﹣2x2+x﹣1【分析】根据单项式、多项式的概念及单项式的次数、系数的定义解答.【解答】解:A、﹣xy的系数是﹣1,正确,不合题意;B、﹣c是六次单项式,故选项错误,符合题意;C、2x2﹣3xy﹣1是二次三项式,正确,不合题意;D、把多项式﹣2x2+3x3﹣1+x按x的降幂排列是3x3﹣2x2+x﹣1,正确,不合题意;故选:B.【点评】此题考查了多项式的次数和项:单项式中的数字因数叫做这个单项式的系数,几个单项式的和叫做多项式,单项式中,所有字母的指数和叫做这个单项式的次数,组成多项式的每个单项式叫做多项式的项.14.下面的说法错误的个数有()①单项式﹣πmn的次数是3次;②﹣a表示负数;③1是单项式;④x++3是多项式.A.1B.2C.3D.4【分析】分别根据单项式的次数,正负数的定义,单项式的定义和多项式的定义进行判断即可.【解答】解:①单项式的次数为m和n的指数之和,故为2次的,所以不正确;②当a为0时,则﹣a不是负数,所以不正确;③单个的数或字母也是单项式,所以1是单项式正确;④多项式中每个项都是单项式,而不是单项式,所以不正确;所以错误的有3个,故选:C.【点评】本题主要考查单项式和多项式的有关概念,掌握单项式的次数和多项式的定义是解题的关键.15.一个多项式加上3x2y﹣3xy2得x3﹣3x2y,则这个多项式是()A.x3+3xy2B.x3﹣3xy2C.x3﹣6x2y+3xy2D.x3﹣6x2y﹣3x2y【分析】根据题意得出:(x3﹣3x2y)﹣(3x2y﹣3xy2),求出即可.【解答】解:根据题意得:(x3﹣3x2y)﹣(3x2y﹣3xy2)=x3﹣3x2y﹣3x2y+3xy2=x3﹣6x2y+3xy2,故选:C.【点评】本题考查了整式的加减的应用,主要考查学生的计算能力.二.填空题(共6小题)16.对单项式“0.8a”可以解释为:一件商品原价为a元,若按原价的8折出售,这件商品现在的售价是0.8a元,请你对“0.8a”再赋予一个含义:练习本每本0.8元,小明买了a本,共付款0.8a元(答案不唯一).【分析】根据生活实际作答即可.【解答】解:答案不唯一,例如:练习本每本0.8元,小明买了a本,共付款0.8a元.【点评】本题考查了代数式的意义,此类问题应结合实际,根据代数式的特点解答.17.如图,将长和宽分别是a,b的长方形纸片的四个角都剪去一个边长为x的正方形.用含a,b,x的代数式表示纸片剩余部分的面积为ab﹣4x2.【分析】根据题意和图形可以用相应的代数式表示出纸片剩余部分的面积.【解答】解:由图可得,纸片剩余部分的面积为:ab﹣4x2,故答案为:ab﹣4x2.【点评】本题考查列代数式,解题的关键是明确题意,列出相应的代数式.18.若a、b互为相反数,c、d互为倒数,则2(a+b)﹣3cd=﹣3.【分析】利用相反数,倒数的定义求出a+b,cd的值,代入原式计算即可得到结果.【解答】解:根据题意得:a+b=0,cd=1,则原式=0﹣3=﹣3.故答案为:﹣3.【点评】此题考查了代数式求值,相反数,绝对值,以及倒数,熟练掌握各自的定义是解本题的关键.19.单项式和多项式统称为整式.【分析】根据整式的定义进行解答.【解答】解:整式包括单项式和多项式.故答案为:单项式和多项式.【点评】本题重点考查整式的定义:整式是有理式的一部分,在有理式中可以包含加,减,乘,除四种运算,但在整式中除数不能含有字母.单项式和多项式统称为整式.20.单项式﹣的系数是﹣.【分析】根据单项式系数的概念求解.【解答】解:单项式﹣的系数为﹣.故答案为:﹣.【点评】本题考查了单项式的知识,单项式中的数字因数叫做单项式的系数.21.多项式2x3﹣3x4+2x﹣1有4项,其中次数最高的项是﹣3x4.【分析】根据多项式的组成元素的单项式,即多项式的每一项都是一个单项式,单项式的个数就是多项式的项数,进而得出答案.【解答】解:多项式2x3﹣3x4+2x﹣1一共有4项,最高次项是﹣3x4.故答案为:4,﹣3x4.【点评】本题考查了多项式,解题的关键是弄清多项式次数是多项式中次数最高的项的次数.三.解答题(共3小题)22.请将下列代数式进行分类(至少三种以上),a,3x,,,,a2+x,4x2ay,x+8.【分析】根据代数式的分类解答:.【解答】解:本题答案不唯一.单项式:,a,3x,4x2ay;多项式:,a2+x,x+8;整式:,a,3x,4x2ay,,a2+x,x+8;分式:.【点评】本题考查了代数式的定义及其分类.由数和表示数的字母经有限次加、减、乘、除、乘方和开方等代数运算所得的式子,或含有字母的数学表达式称为代数式.注意,分式和无理式都不属于整式.23.为了加强公民的节水意识,合理利用水资源,我市采用价格调控的手段达到节水的目的,我市自来水收费的价目表如下表(注:水费按月份结算,m3表示立方米):价目表每月用水量单价不超出6m3的部分2元/m3超出6m3不超出10m3的部分4元/m3超出10m3的部分8元/m3注:水费按月结算请根据如表的内容解答下列问题:(1)填空:若该户居民2月份用水4m3,则应收水费8元;(2)若该户居民3月份用水am3(其中6m3<a<10m3),则应收水费多少元?(用含a 的代数式表示,并化简)(3)若该户居民4,5两个月共用水15m3(5月份用水量超过了4月份),设4月份用水xm3,求该户居民4,5两个月共交水费多少元?(用含x的代数式表示,并化简)【分析】(1)根据表格可以求得该户居民2月份应缴纳的水费;(2)根据表格可以求得该户居民3月份用水am3(其中6m3<a<10m3)应缴纳的水费;(3)根据题意分三种情况,可以求得该户居民4,5两个月共交的水费.【解答】解:(1)由表格可得,该户居民2月份用水4m3,则应收水费为:2×4=8(元),故答案为:8;(2)由题意可得,该户居民3月份用水am3(其中6m3<a<10m3),则应收水费为:2×6+(a﹣6)×4=12+4a﹣24=(4a﹣12)元,即该户居民3月份用水am3(其中6m3<a<10m3),则应收水费为(4a﹣12)元;(3)由题意可得,当6<x<7.5时,该户居民4,5两个月共交水费为:[2×6+(x﹣6)×4]+[2×6+(15﹣x﹣6)×4]=36(元),当5<x≤6时,该户居民4,5两个月共交水费为:2x+[2×6+(15﹣x﹣6)×4]=(48﹣2x)元,当0<x≤5时,该户居民4,5两个月共交水费为:2x+[2×6+4×4+(15﹣x﹣10)×8]=(68﹣6x)元.【点评】本题考查列代数式,解题的关键是明确题意,找出所求问题需要的条件,运用分类讨论的数学思想解答.24.已知多项式﹣5x2a+1y2﹣x3y3+x4y.(1)求多项式中各项的系数和次数;(2)若多项式是7次多项式,求a的值.【分析】(1)根据多项式次数、系数的定义即可得出答案;(2)根据次数是7,可得出关于a的方程,解出即可.【解答】解:(1)﹣5x2a+1y2的系数是﹣5,次数是2a+3;﹣x3y3的系数是:,次数是6;x4y的系数是:,次数是5;(2)由多项式的次数是7,可知﹣5x2a+1y2的次数是7,即2a+3=7,解得:a =2.【点评】本题考查了多项式的知识,几个单项式的和叫做多项式,每个单项式叫做多项式的项,其中不含字母的项叫做常数项.多项式中次数最高的项的次数叫做多项式的次数.1、学而不思则罔,思而不学则殆。
人教版数学四年级上册单元同步检测试卷全册附答案
⼈教版数学四年级上册单元同步检测试卷全册附答案⼈教版数学四年级上册单元同步检测试卷全册附答案第⼀单元测试卷⼀、填空题。
1.从个位起第()位是万位,第()位是百万位,第九位是()位,亿位的右边⼀位是()位,亿位左边⼀位是()位。
2.最⼩的九位数是(),最⼤的⼋位数是()。
3.⼀个⼗位数,它的最⾼位上是5,百万位上是8,其他数位上都是0,这个数写作()。
4.⼀个数由36个亿、9个⼗万、3个万组成,这个数写作()。
5.900606000是()位数,9在()位上,表⽰(),左边的6在()位上,右边的6在()位上,两个6表⽰的数相差()。
这个数读作()。
6.在5和3之间添()个0,就成为五⼗亿零三。
7.最⼩的⾃然数是(),与最⼩的六位数相邻的⾃然数是()和()。
8.⼀千多年前,由中国⼈发明的计算⼯具是()。
⼆、读出下⾯各数,并将这4个数按从⼩到⼤的顺序排列。
510900 23000401 606066000 50200090800()<()<()<()三、连⼀连,看看各数中的“6”都表⽰什么。
6154000000 6个千462735806个万35600006个百万15863106个亿36578000006个⼗亿四、在⾥填上“>”“<”或“=”。
6012006000120 5010000克501千克402万402000500千⽶500000⽶五、选择题。
(在括号⾥填上正确答案的序号)1.4920590最⾼位上的数表⽰()。
A.4个万B.4个⼗万C.4个百万D.4个千万2.下⾯各数中,()“四舍五⼊”到万位的近似数是84万。
A.834776B.844165C.845000D.8499993.下⾯各数中,⼀个零也不读出来的数是()。
A.630900000B.639008000C.639070000D.400240774.最接近425万的数是()。
A.4249999B.4259999C.4255000D.4259088六、把下⾯各数改写成⽤“万”或“亿”作单位的数。
人教版八年级上册第一单元自我评价检测卷及答案
人教版八年级上册第一单元自我评价检测卷(时量120分钟,总分150分)班级姓名学号计分一、语言文字积累与运用(共30分)(一)单项选择题(共15分,每小题3分)1.下列加点字的注音全都正确的一项是( )(3分)A.溃.退(kuì) 着.舰(zhuó) 坠.毁(zhuì) 翘.首(qiào)B.悄.然(qiǎo) 颁.发(bān) 轻盈.(yíng) 凛.冽(lǐn)C.屏.息(bǐng) 要塞.(sài) 紧绷.(bēng) 揪.着(qiū)D.默契.(qiè) 仲.裁(zhòng) 歼.灭(jiān) 镌.刻(juān)2.下列各组词语中,书写全都正确的一项是( )(3分)A.督战泻气呼啸摧枯拉朽B.遗瞩巨额由衷惊心动魄C.浩瀚业已澎湃白手起家D.考验潇洒酷似振耳欲聋3.下列加点的成语使用不正确的一项是( )(3分)A.近两个月来,这个盗窃电动车的犯罪团伙气焰嚣张、锐不可当....,但在公安机关的严厉打击下被彻底摧毁了。
B.王教授为了钻研这个课题,殚精竭虑....,废寝忘食。
C.他进来的时候,看见老师正在一丝不苟....地批改作业。
D.在农村的年集上,各种各样的商品琳琅满目,让人眼花缭乱....。
4. 下列说法有误的一项是( )(3分)A.《消息二则》的作者是毛泽东,两则消息报道的都是人民解放军横渡长江的事情。
B.《首届诺贝尔奖颁发》中,对奖金来源的介绍是消息的主体。
C.《“飞天”凌空——跳水姑娘吕伟夺魁记》记叙的是跳水姑娘吕伟在印度新德里举行的第九届亚运会中夺冠一事。
D.《一着惊海天——目击我国航母航载战斗机首架次成功着舰》写的是我国第一艘航母辽宁舰上歼-15舰载机成功着舰的过程。
5.下列句子中没有语病、句意明确的一项是( )A.“一带一路”这一合作倡议不仅迅速得到国际社会关注,并且业已形成大量的合作机会。
B.通过观看央视播放的《记住乡愁》节目,使我对中国乡村及民俗文化有了更多的了解。
部编版二年级语文下册第一单元达标检测卷附答案 (3)
部编版二年级语文下册第一单元达标检测卷时间:60分钟满分:100分第一部分:积累运用(66分)一、我会看拼音写词语。
(10分)二、我会给下面带点的字选择正确的读音,画上“——”。
(6分) 1.河堤.(tídī)两旁的树上开满了花,黄莺.(yīn yīng)在枝头唱歌。
2.妈妈亲手种.(zhòng zhǒng)的种.(zhòng zhǒng)子发芽了。
3.他交完试卷才想起自己漏.(lòu nòu)答了一道题,瞬间,他懊丧.(sāng sàng)极了。
三、我会照样子写一写。
(4+2+2=8分)1.例:中→冲(冲浪)寸→____()弟→____( ) 2.例:(惊奇)地说( )地做事( )地吃饭3.例:(美丽)的小路( )的姑娘( )的阳光四、我会把下列词语填完整,并选一个词语写一句话。
(8分)()风拂面()空如洗()致勃勃引()注目万里()云绚丽()()_______________________________________________________ _______________________________________________________ 五、我会选择正确的答案,把字母填写在括号里。
(16分)1.下列加点字的读音全部错误的一项是()A.拂.堤(fú)丝绦.(tāo)B.棉袄.(nǎo)害羞.(xīu)C.兴致.(zhì) 花籽.(zǐ) D.餐.厅(chān) 茁.壮(zhuó)2.下列词语书写全部正确的一项是()A.做克惊奇公圆B.河提比直寻找C.休息每好油局D.汗珠姑娘田野3.下列生字不属于左上包围的一项是()A.底B.递C.原D.居4.根据乐乐的提问,琳琳回答时应重读的是() 乐乐问:“你什么时候去厦门?”琳琳说:“我明天去厦门。
”A.我B.明天C.去D.厦门5.“草长莺飞二月天,拂堤杨柳醉春烟”描写的是()的景色。
人教版小学数学一年级上册 第三单元 质量检测卷(含答案)
人教版小学数学一年级上册第三单元质量检测卷一、选择题(15分)1.小亮家来了3个小朋友,小亮的妈妈准备给小亮和他的朋友每人倒一杯果汁,选第()组杯子.A.B.C.2.,在这列队伍中,是从右往左数的第2个人,这列队伍一共有()人。
A.3 B.4 C.53.体育课上,第一行队伍。
从左边开始报数,兰兰报“3”;从右边开始报数,兰兰也报“3”,这行队伍一共有()人。
A.3 B.4 C.54.比一比,最多的是()。
A.B.C.5.下列算式( )能正确表达图意.A.4 -1 B.4+1 C.5-16.5和3中间的一个数是()。
A.3 B.4 C.6二、填空题(26分)7.数一数,写一写。
8.比一比,填一填。
(1)一共有( )张卡片,卡片上数字最大的是( ),最小的是( )。
(2)从左边数,第3张卡片上的数字是( )。
(3)从右边数,第2张卡片上的数字是( )。
(4)将卡片上的数字按从小到大的顺序排一排。
( )<( )<( )<( )<( )9.填数。
10.比一比,在括号里填上“>”“<”或“=”。
3( )4 2( )2 2( )5 5( )45( )3 0( )1 2( )1 5( )4 11.按数的顺序填空。
12.三轮车有( )个轮子,一双筷子有( )根,小鸟有( )对翅膀,五线谱上有( )根线,小猫有( )条腿,我国国旗上有( )颗五角星。
13.3,0,2,5,4(1)从左数,5是第( )个数,5的左边有( )个数。
(2)这些数中,( )最大,( )最小。
(3)3比( )多1,3比( )少1,( )比( )多2。
14.数一数,比一比。
比________(多,少)。
( )____( )三、连线题(8分)15.连一连。
四、作图题(9分)16.涂一涂。
①哪种少,在少的那种图形上涂颜色。
②哪种多,在多的那种图形上涂颜色。
17.你会画什么,就在右边空框里画什么,要画得与左边同样多。
五、口算和估算(12分)18.口算。
新人教版八年级上册英语 Unit 3 单元检测卷及答案
Unit 3检测卷一.单项选择(15小题,每小题1分,共15分)1.Mr.Brown does exercise every day.He is ________ a horse.A.as stronger asB.as strong asC.as much stronger asD.more strong as2.She is ________ than he is.A.much outgoingB.very more outgoingC.much more outgoingD.as outgoing3.My best friend enjoys ________ to music.A.listenB.listensC.to listenD.listening4.—Lucy, your homework is ________ good ________ it was last week.—I'm sorry, I didn't do it carefully.A.so; asB.as; asC.not so; asD.more; than5.My teacher helps to ________ the best in me.A.take outB.look outC.bring out De out6.I'm shy so it's ________ for me to make friends.A.easyB.popularC.difficultD.friendly7.If you work hard,you will get good________.A.gradesB.notesC.lessonsD.answers8.Don't worry about your job ________ you work hard.A.as longB.so longC.as long asD.as longer as9.Yesterday I________my leg and that made me________sad.A.broke,feltB.break,feelC.broke,feelD.break,felt10.My best friend is similar________me.He also likes eating hamburgers.A.inB.toC.withD.for11.English is________more interesting than history.A.a lot ofB.a fewC.a littleD.many12.Bob hasn't changed. He _______ exactly _________ he did at school.A.looks; the same asB.look; the same asC.looks; the same toD.has looked; the same as13.______my opinion, the Victoria Falls are more fantastic.A.ForB.OnC.InD.At14._______people you help, ________ you will be.A .More; happier B. Many; happyC .The more; the happier D. The many; the happy15.Her home is far away from her school._______ she gets up early every day.A . That's becauseB . That's whyC . That's whenD . That's what二.完形填空(10小题,每小题1.5分,共15分)Do you have lots of friends? What do you1friends and friendship? Are they very important for you? Some of your friends may have different l6 views and interests, and some like doing the same 17 as you. Do you like friends different from 18 the same as you? You may like the friends who 19 the same interests as you. But I don’t really care.I have two good friends, Peter and James. Peter is 20 me. I am a quiet boy, and Peter is also quiet. We 21 enjoy reading books and surfing the Internet. On weekends, we often go to the library or 22 on the computer together. But James is very different from us. He likes playing ball games, and he is more athletic than us. He is 23 more outgoing. He likes talking and often makes 24 laugh. You see, friends are not 25 to be the same. Do you agree with me?16.A.talk about B.think of C.thank for D.look at17.A.interests B.views C.things D.habits18.A.or B.and C.until D.but19.A.are B.have C.show D.get20.A.like B.as C.for D.with21.A.all B.each C.both D.some22.A.watch B.work C.read D.play23.A.a few B.few C.a lot D.little24.A.him B.her C.them 25.A.important B.necessary C.difficult D.different三.阅读理解(10小题,每小题2分,共20分)AMr.Smith works in an office.He's very busy and has no time to have a good rest.Every evening, when he comes back from his office, he's always tired and wants to go to bed early.But his wife often has a lot of interesting things to tell him after supper.She doesn't stop talking until she falls asleep.One day the man felt terrible and couldn't go to work.He decided to go to see a doctor.And Mrs.Smith went to the hospital with him.Before her husband said what was the matter with him, the woman had told the doctor all and the man understood why.He wrote out a prescription (处方).And when Mrs.Smith brought the medicine to the doctor's room, the doctor said to her, “The bottle of medicine is for your husband and the pills (药片) are for you.” “For me?” the woman said in surprise, “I'm fine.I don't need any medicine!” “I don't think so, madam,” said the doctor.“They are sleeping pills.Your husband will soon be all right if you take them.”26.Mr.Smith is ________A.too busy to have a good restB.too busy not to have a restC.busy enough to have a good restD.not busy enough to have a good rest27.The sentence “She doesn't stop talking until she falls asleep.” means ________.A.she doesn't stop talking when she falls asleepB.she doesn't stop talking after she falls asleepC.she keeps talking until she falls asleepD.she likes talking as she falls asleep28.Why does Mr.Smith have to get up when his wife is asleep in the morning?A.Because he can't fall asleep.B.Because he has to go to work.C.Because he doesn't want to sleep.D.Because his wife asks him to get up.29.Why couldn't Mr.Smith go to work one day?A.Because he didn't want to work.B.Because his wife didn't let him go.C.Because he fell ill.D.Because he was too tired to go to work.30.The sentence “Your husband will soon be all right if you take them.” means Mr.Smith will soon be all right if ________.A.Mrs.Smith takes the bottle of medicineB.Mr.Smith takes the pillsC.Mr.Smith takes the bottle of medicineD.Mrs.Smith stops talking too much at nightBDo you need friends? I'm sure your answer is "Yes, of course. Everybody does! "You need friends when you play and when you work. If you have friends, you will feel happy. If you have no friends, you will feel lonely. Do you know how to make friends? There is only one good way—You make friends by being friendly.A friendly person is interested in other people. He is always helpful. If you want to make friends with a new classmate, you can talk with him, tell him about the other classmates in your class and try your best to be helpful to him.31.We need friends __________.A.because we must play with themB.Because we must work with themC.when we play and when we workD.when we talk with them32.If we want to make friends, we should __________.A.be politely to themB.be friendly to them.C.be afraid of themD.when we talk with them.33.A friendly person is _________ other people.A.interested inB.worried aboutC.surprised atD.like them34.If we want to make friends with a new classmate, _________.A.we can talk with themB.we must try to help himC.we can tell him about the other classmates in our classD.A,B and C35.Which of the following is true?A.No one needs friends.B.Everyone needs friendsC.Only classmates need friends.D.Someone needs friends.四.根据句意及汉语提示写单词完成句子。
2022-2023学年四年级数学下册人教版第一二单元检测卷
第一二单元阶段素养检测(提高卷)2022-2023学年四年级数学下册人教版姓名:___________班级:___________考号:___________一、选择题1.左图从侧面看到的形状是()。
A.B.C.D.2.如图所示它是由()个小正方体搭成的,从()面看到的形状是。
A.4个,上面B.5个,左面C.5个,上面D.6个,前面3.用小立方块搭成一个立体图形,从正面或者左面看都是如图形状至少需要()个小立方体。
A.4B.6C.8D.104.小杰全家(4个成人,2个儿童)到游乐园游玩。
已知成人票为每人80元,儿童票为每人40元,团体(6人及以上)票为每人60元。
小杰全家买票最少要()元。
A.240B.400C.3605.如果△+□=○,那么下面的算式正确的是()。
A.△+○=□B.○-□=△C.○+□=△6.下面三个物体,从()看到的图形不相同。
A.上面B.前面C.左面7.关于0的运算,下面描述错误的是()。
A.一个数加上0,还得原数B.一个数和0相乘还得0C.被减数等于减数,差是0D.任何数除以0,还得0二、填空题8.在算式352+124=476中,352和124叫做( )和( ),476叫做( )。
9.学校武术表演队排成一个实心方阵表演“中国功夫”,最外层每边16人。
最外层一共有( )人,一共有( )名学生。
10.如果要改变算式“20×48+60÷4”的运算顺序,先算加法,再算除法,最后算乘法,那么算式可写成( )。
11.学校里的游泳池长50米,小明每次都游7个来回,他每次游( )米。
12.给添上一个小正方体变成,从( )面看图形不变。
13.观察下面三个立体图形。
(1)从( )面看图△和图△看到的形状相同。
(2)从( )面和( )面看图△和图△看到的形状相同。
14.小明在做一道减法题时,把减数49错写成了94,这时得到的差是358,正确的差是( )。
三、判断题15.从前面和上面看到的形状都是一样的。
语文六年级上册第一单元必考题检测卷(有答案)
第一单元必考题检测卷-语文六年级上册统编版一.选择题(共6小题)1.下列每组词语中有一个字的读音是错误的,把它选出来。
( )A.疾病(jī)B.天涯(yá)C.欲望(yù)D.衣襟(jīn)2.下列节奏划分有误的一项是( )A.黑云/翻墨/未遮山B.白雨/跳珠/乱入船C.卷地风/来忽吹散D.望湖楼下/水/如天3.给加横线的字选择正确的解释。
日暮客愁新( )A.客人B.做客C.诗人自己4.下列城市宣传语运用了排比手法的一项是( )A.天天乐道,津津有味。
(天津)B.诗画瘦西湖,人文古扬州。
(扬州)C.成功之都,多彩之都,美食之都。
(成都)5.(《草原》)这篇课文在表达上特点鲜明,下列说法描述有误的一项是( )A.本文是一篇参观访问记,作者移步换景,由景及人。
B.本文运用情景交融的方法,无论是描写草原的自然风光,还是主客相见的生活场景,处处流露出作者的赞美之情。
C.本文既有草原生活的纪实描写,又有异域风情的虚幻想象。
D.本文语言优美,表现了草原的风光美、人情美和民俗美。
6.下列句子中加点成语或俗语使用有误的一项是( )A.重庆合川区三汇天然石体,虽不及云南石林壮观奇绝,也不及湘西红石林古朴秀雅,却也形态万千,别具匠心。
B.他出生于书画世家,自幼便随研究敦煌艺术的父亲出入莫高窟,耳濡目染,最终选择了用线条的色彩演绎人生。
C.玉不琢不成器,一个运动员天赋再好,如果没有教练的悉心心指导和严格训练,也难以超越自我,取得优异成绩。
D.柳敬亭拜说书艺人莫后光为师,虚心学习,说书技艺炉火纯青,成为扬州评话的一代宗师,真可谓青出于蓝而胜于蓝。
二.填空题(共7小题)7.看拼音,写词语:diǎn zhuì yōu yǎ huǎng rán cēn cī móhu bèn zhuō fúàn dān bó 8.用拼音写出下列地名。
景德镇 秦皇岛 阿拉善 上饶 库尔勒 呼伦贝尔 9.比一比,再组词。
部编版四年级语文上册第一单元检测试卷 附答案 (1)
部编版四年级语文上册第一单元综合素质评价时间:90分钟满分:100分第1部分积累与运用(58分)一、字词积累。
(32分)1.用“____”画出加点字错误的读音,并在后面的括号里改正。
(4分)(1)芦苇.(wěi) 坠.落(duì) 屹.立(yì) 霎.时(shà) ( )(2)谷穗.(suì) 田埂.(gēng) 巢.穴(cháo) 镀.金(dù) ( )2.根据语境,看拼音写词语。
(6分)(1)太阳一出来,笼罩在湖面上的雾就zhú jiàn( )消散了。
站在dīàn( )上,kuān kuò( )的湖面清晰地展现在我眼前。
(2)沿着僻静的小路,我们来到cūn zhuānɡ( )外,映入眼帘的是一片庄稼地。
风一吹,chéng shú( )的dào ɡǔ( )翻起了金色的波浪。
3.选择恰当的词语填空。
(8分)平静镇静寂静(1)夜空中有一轮明月,照着( )的江面。
(2)就在运动员起脚踢球的一刹那,观众们屏住呼吸,全场一片( )。
满意满足得意(3)北京冬奥组委会的细心服务,让来自世界各地的运动员们都很( )。
(4)我国的航天技术虽然已经取得了巨大的成就,但是不能( )于现状,要继续探索更加浩瀚的宇宙。
4.将下列词语补充完整,并完成练习。
(14分)( )彻( )霄( )( )卷地( )( )无声人山( )( ) ( )耳欲( ) ( )( )鼎沸( )声( )语( )( )私语锣( )喧( ) (1)上面的词语中,“_________________”的意思是响声直达高空,形容声音十分嘹亮;“________________”用来形容非常安静。
(2分)(2)上面的词语中,可用来形容右图情景的是“____________”。
(1分)(3)写一写读了画“”的词语后你想到的画面。
(2分)________________________________________________________二、句段运用。
鲁教版七年级下册英语Unit1单元检测试卷(含答案)
单元检测一、单项选择(共15小题;共15分)1. My old neighbor Charles enjoys photos. He always goes out with his camera.A. takeB. to takeC. takingD. took2. The last sports meeting opening ceremony was held June 12th, 2014.A. inB. atC. on3. Some people feel sick when they read a book in a car or on a boat.A. mustB. shouldC. mayD. need4. Li Chen in the movies. So he is my favorite movie star.A. did a good jobB. took his placeC. had a good jobD. played a role5. Some young people are now to buy private(私人的) cars.A. quite richB. very richC. rich enoughD. enough rich6. Wang Lin is trying French because she plans to France.A. learn; to goB. to learn; goingC. learning; to goD. to learn; to go7. Lin Jie is a kind man. He is ready the disabled children.A. to helpB. helpingC. helpsD. help8. kind of TV shows does your father like?A. HowB. WhoseC. WhoD. What9. --- How do you like the guitar, dear?--- I can't find a better one.A. Too bad!B. Too expensive!C. Good idea!D. Pretty good!10. --- are you going to the School Uniform Exhibition, Amy?--- To learn about different styles of school uniforms.A. WhatB. WhereC. WhyD. Which11. --- How do you like the TV sitcom Home with Kids?--- It's very , and many kids it.A. fun; don't likeB. funny; don't likeC. funny; likeD. fun; likes12. --- I think English is as as maths.--- I agree with you.A. more interestingB. most interestingC. the most interestingD. interesting13. My parents didn't allow me to the party.A. goB. to goC. goesD. went14. --- How nice that Lucy has been invited to the party too!--- Well, Lucy not come. She is not certain whether her mother will allow her to.A. mightB. wouldC. mustD. need15. I wouldn't mind a roommate. We can help each other and save money as well.A. havingB. to haveC. haveD. had二、完形填空(共10小题;共15分)Most children like 16 TV. It's very interesting. By 17 TV they can 18 a lot, learn a lot and know many 19 about their country and the world. Of course, they can also learn 20 the radio(广播). But they can learn better and more easily 21 TV, because they can hear and watch at the same time, but they can't see 22 on the radio. TV helps 23 children's eyes. TV helps to open their minds(思想) too. They learn newer and better ways of 24 things. Many children watch TV 25 weekends. But some students watch TV every night. They usually go to bed very late. They can't have a good rest.16. A. watches B. watch C. to watch D. watched17. A. watching B. watched C. watches D. to watch18. A. see B. to see C. saw D. sees19. A. thing B. things C. something D. anything20. A. in B. at C. on D. to21. A. at B. in C. on D. to22. A. nothing B. anything C. something D. thing23. A. to open B. opens C. opening D. opened24. A. do B. does C. doing D. done25. A. by B. in C. on D. to三、阅读理解(共10小题;共20分)AMany boys and girls love to watch TV. They spend many hours a day in front of the TV sets. But many parents let their children watch TV only in special(特定的) time.TV shows are like books or movies. There are many kinds of TV shows, such as sitcoms, soap operas, sports shows, fashion shows, etc. A child can learn good things and bad things from them. Some shows help children to know the news all over the world. Children don't have to go to the zoo to see animals. Boys and girls can see sitcoms, sports shows and game shows at home. Some shows teach children how to cook or how to use tools(工具).Many boys and girls think it is fun to watch TV, but it is also fun to read books, to play games or to visit friends.26. Many boys and girls spend .A. 4 hours on TV shows on SundayB. 6 hours on TV shows every dayC. many hours a day in front of the TV sets27. Many parents .A. don't let their children watch TVB. ask their children to watch TVC. let their children watch TV in special time28. From TV, boys and girls can .A. learn good things and bad thingsB. learn nothingC. learn good things29. Kids like to watch TV, because .A. it is funB. they have nothing to doC. it is exciting30. How does the writer like the TV shows?A. They are good for childrenB. They are bad for childrenC. Some of them are good for children. Others are notBHi, class! I am Linda. I'm on duty (值日) today. It is my English show time today. Please take a look at the picture. Haha, this is a picture of Running Man. It came back again to us on TV on April 17, 2015. Do you know something about Running Man?Running Man is a popular(受欢迎) TV show in Korea(韩国) for about four years. Many people like to watch it on TV. And the TV show came to China in 2014. There are seven members(成员) in the show. They are all Chinese; Deng Chao, Angelababy, Li Chen, Chen He, Wang Zulan, Zheng Kai and Wang Baoqiang. Wang Baoqiang isn't in the second season (第二季) now, but Bao Beier takes his place. And Fan Bingbing and Han Geng are wanted as VlPs this time. I like all of them, but Angelababy is my favorite, because she is the only girl in Running Man. In the TV show, they play many kinds of games, and the games are always very exciting and interesting. Every Friday night, I like watching them on TV. That makes me very happy. What do you think of this TV show? Who do you like best? OK, thanks very much for listening.31. How many main members(主要成员) are there in Running Man?A. Four.B. Five.C. Six.D. Seven.32. Where does this TV show come from?A. Japan.B. Korea.C. Africa.D. America.33. Who does Linda like best?A. Deng Chao.B. Wang Baoqiang.C. Angelababy.D. Chen He.34. When does Linda like watching Running Man?A. Every Friday night.B. Every day.C. On Sunday night.D. On Saturday morning.35. What's Linda's picture about?A. Deng Chao.B. Wang Baoqiang.C. Korea.D. Running Man.四、按要求转换句型(共5小题;共10分)36. What do you think of the town? (改为同义句 )you the town?37. The story is very interesting. (对划线部分提问)you of the story?38. I like reading the English book. (改为同义句 )I the English book.39. I'd like to go swimming with him. (改为一般疑问句)you to go swimming with him?40. The hostess showed me her new handbag. (改为否定句)The hostess me her new handbag.五、单词拼写(单句首字母填空)(共5小题;共5分)41. They exercise every day, so they b very strong now.42. The girl married a r man in May, 2012. And she has a happy life now.43. The schools in some poor areas don't have good e ways and resources(资源).44. --- My favorite f is Vulgaria(《低俗喜剧》).--- I like it, too.45. The c between China and Korea are different.六、补全对话(填空)(共5小题;共5分)Stuart:46. .Host: Do you like to watch TV?Stuart: Yes, I do.Host: What do you think of Animal World?Stuart: 47. .Host: I do, too. 48. . Road to Health?Stuart: I 49. .Host: And how about Chinese Cooking?Stuart: Oh! 50. it. It is for moms!Host: OK! Thanks for joining us.七、阅读与表达(问答式(含翻译))(共5小题;共10分)Many people believe that yellowing and wetness are the greatest enemies of stamps. In fact, stamps are afraid of not only wetness, but also light and dirty things. People protect their stamps in several different ways.To protect stamps, we should never touch the stamps with our hands. This avoids moving dirty things onto them. Stamp tweezers(镊子) should be used in all conditions.Stamps are printed things. The colour will slowly disappear if the stamps are put in the light for a long time. So we should not put stamps in the light for long. Direct sunlight must be avoided as well. Wetness is an important problem for stamps. Some collectors will put stamps in separate plastic(塑料) bags. However, it is possible that some stamps have taken in some water from the air before they are put into the plastic bags. Stamps become yellow easily and rapidly after they take in wet air. To protect the stamps, some people also put the stamps into a special room which has a machine to keep the air cool and dry. However, not many people can afford that.To keep stamps, stamp collectors usually put them under plastic covers. It is a common and simple way. This helps because the plastic cover keeps the stamps off the wet air. It also stops the fingers from touching the stamps.Some collectors prefer to store stamps inside a plastic box with desiccants(干燥剂). However, we should take care not to let the stamps touch the desiccants. On top of that, don't take your stamps out on a wet day.任务一:完成句子。
第一单元检测卷2023-2024学年统编版语文七年级上册(无答案)
第一单元检测卷(满分:120分时间:120分钟)班级______________ 姓名______________ 学号______________题号一二三总分得分一、积累运用(30分)1.默写古诗文。
(共10分。
答对一句得1分,满分不超过10分)(1),风正一帆悬。
(王湾《次北固山下》)(2)夕阳西下,。
(马致远《天净沙·秋思》)(3),若出其中;,若出其里。
(曹操《观沧海》)(4)《次北固山下》中蕴含新事物必将取代旧事物这一哲理的名句是:,。
(5)《观沧海》中描写秋风呼啸、惊涛拍岸的句子是:,。
(6)中国的文学传统从整体而言是一个抒情传统。
思乡情浓,情溢于景,“,,古道西风瘦马”(马致远《天净沙·秋思》);友情依依,借月传情,“,”(李白《闻王昌龄左迁龙标遥有此寄》)。
阅读下面的文字,完成2~4题。
(10分)美好的生命,就像随风起舞的彩蝶,在自己的天地里,上下翻飞,任性而舞,不因惮于黑夜而收起翅膀,不因怯于风雨而忘记飞翔。
冬天来临,你可以蜷缩,可以蛰伏,但心中仍yùn niànɡ着一个________的梦;风暴将至,你可以沉默,可以苟且,但梦里依然有自由的蓝天白云。
在生命的春天里,你尽情________你的jiāo mèi多姿,你的诗意曼妙。
人性的美好,主要来自灵魂的高贵。
摸黑夜行,而心灯不灭。
能在沉默中________向上的力量,能在蛰伏时不忘发光的梦想。
既能兼济天下,也可独善其身;既能hénɡ méi lěnɡ duì,也可俯首低调;富能不骄,贫能不谄;成熟而不世故,成功而不张扬。
在漆黑如墨的夜晚,仍能shǎn shuò如星;在风刀霜剑之下,仍能端正如松。
难道真正的生命就应该不如此吗?2.根据拼音写出相应的词语。
(4分)(1)yùn niànɡ( )(2)jiāo mèi( )(3)hénɡ méi lěnɡ duì( )(4)shǎn shuò( )3.下列依次填入横线处的词语,最恰当的一项是( )(3分)A.万紫千红 开展 积压B.花枝招展 开展 积压C.花枝招展 舒展 贮蓄D.万紫千红 舒展 贮蓄4.语段中画波浪线的句子有语病,下列修改最恰当的一项是( )(3分)A.真正的生命难道就应该不如此吗?B.真正的生命难道不就应该如此吗?C.难道真正的生命就不应该如此吗?D.真正的生命就不应该如此。
部编版五年级语文下册第一单元 达标测试卷附答案
部编版五年级语文下册第一单元达标检测卷时间:90分钟满分:100分题号一二三四五总分得分一、基础训练营。
(24分)1. 用“√”给下列加点的字选择正确的读音。
(4分)(1)证人提供.(gōng gòng)的口供.(gōng gòng)不足以证明被告人有罪。
(2)小燕.(yàn yān)子飞进了燕.(yàn yān)京大学的花园里。
2. 读拼音,写词语。
(6分)sānɡyèbácǎo tiěchǎnzhòu yèɡēnɡyún ɡuànɡjiē3. 选择题。
(填字母)(8分)(1)下列各项中,词语书写完全正确的一项是()A. 破晓瓢泼B. 虾闹收割C. 丞担随意D. 栓马樱花(2)下列加点词的解释不正确的一项是()A. 山衔落日浸寒漪.(漪:水中的波纹)B. 村庄儿女..各当家(儿女:儿子和女儿)C. 草满池塘水满陂.(陂:池岸)D. 敲成玉磬.穿林响(磬:一种打击乐器,形状像曲尺)(3)下列句子中加点词语运用不恰当的一项是()A. 这道数学题,我百思不得其解,经老师一提示,我才恍然大悟....。
B. 小猫非常喜欢线团,只要有机会得到,它就会一直玩,乐此不疲....。
C. 绚丽的朝霞映在无边无垠....的海面上,像仙女剪下的红绸,把大海装点得格外美丽。
D. 刘明从小调皮捣蛋,长大后更是蛮横无理,欺软怕硬,在这一带颇负..盛名..。
(4)下列句子中表达情感的方式与其他三项不同的一项是()A. 花开了,就像睡醒了似的。
鸟飞了,就像在天上逛似的。
B. 他们是历史上、世界上第一流的战士,第一流的人!C. 我的小月亮,我永远忘不掉你!D. 她是最有品格、最有灵魂、最有骨气的!4. 按要求完成句子练习。
(6分)(1)蜜蜂满身绒毛,停在一朵花上不动了。
(改为比喻句)_______________________________________________________________ _______________________________________________________________ (2)太阳光芒四射,亮得使人睁不开眼睛,亮得蚯蚓不敢钻出地面来,蝙蝠不敢从黑暗的地方飞出来。
部编版二年级语文上册第一单元达标检测卷附答案
部编版二年级语文上册第一单元达标检测卷时间:60分钟满分:100分8.把下面的句子合成一句话。
(3分)欢乐的小溪,在田野里散步。
欢乐的小溪,在树林间奔跑。
欢乐的小溪,在山谷里唱歌。
_________________________________________________________ _________________________________________________________气象树在我国南方有一种名叫小叶红豆的树,晴天时,它的叶子呈绿色。
如果将要出现阴雨天气,它树冠下面的叶子先变为红色,然后逐渐向上红到树顶。
如果在阴雨天发现它的叶片由大红变为浅红,再逐渐恢复绿色,这就预示着天气将变晴。
因此人们称小叶红豆树为“变色树”“气象树”。
你见过这样的树吗?多有趣呀!14.这篇短文有______句话。
(2分)15.小叶红豆树又叫_______、______,生活在我国______方。
(3分) 16.选一选。
(2分)①红色②绿色晴天时,小叶红豆树的叶子呈();阴雨天时,它的叶子呈()。
第一单元达标检测卷2.两条宽大一顶肚皮变化傍晚带给方法更加知识3.作做作做代代带带及极极及羊洋洋羊4.(1)白黑(2)早晨傍晚(3)好坏(4)温和暴躁5.(1)②(2)③(3)①(4)②(5)①6.(1)仔仔细细干干净净(2)示例:肚皮眼睛(3)示例:淹没发动7.示例:(1)冬天已经来到得穿上羽绒服(2)明天不下雨我们可以去郊游了8.欢乐的小溪,在田野里散步,在树林间奔跑,在山谷里唱歌。
二、9.示例:土地里土地生根发芽三、10.汽云雨、冰雹、雪11.凌寒独自开12.睡觉散步奔跑跳舞唱歌开大会13.风动物的皮毛太阳仔细观察四、14.六15.变色树气象树南16.②①五、17.示例:小兔在森林里割草,突然,天空乌云密布,变得黑沉沉的。
小兔想:要下雨啦!小兔忙收拾东西,往家走去。
刚走到山坡前,就看见一群蚂蚁正急急忙忙地走着,小兔觉得很奇怪,就问:“小蚂蚁,要下雨啦!你们还在忙什么呀?”蚂蚁说:“是要下雨啦!我们正忙着搬家呢!”小兔一听,加快步子,往家跑去。
2022-2023学年人教版七年级英语上册Unit 5单元检测卷附答案
2022-2023学年七年级英语上册Unit5单元检测卷(总分:100分)一、单项选择(15分)()1.I often play______soccer with my classmates_______school.A.a,theB.the,theC.the,/D./,/()2.Basketball is easy_______him.A.atB.forC.toD.after()3.I go to Beijing_______my grandparents.A.andB.toC.withD.of()4.Jim likes sports,______he only watches them on TV.A.andB.butC.orD.with()5.Tom_______some pen friends in Canada.A.watchesB.playsC.hasD.have()6.I don’t like swimming,but my friend Lucy_______.A.haveB.isC.doD.does()7.Miss Gao,this is my_______Kate.We’re in the same class.A.teacherB.sisterC.cousinD.classmate()8.I_______a friend and he________a teacher.A.have,areB.has,isC.have,isD.has,are()9.John________baseball.A.doesn’t playB.doesn’t play theC.doesn’t playsD.don’t play()10.---Mum,look!There are some horses along the road.---Where are______,David?I can’t see_______.A.they,theyB.they,themC.theirs,theyD.theirs,them()11.My mother always_______us______sports.A.let,to playB.lets,playC.lets,playsD.let,plays()12.---_______he have a phone?---No,he_______.He has a watch.A.Does,don’tB.Do,doesn’tC.Do,don’tD.Does,doesn’t()13.Tim only______basketball games______TV.A.watches,inB.watches,onC.looks,onD.sees,in()14.---Do you have a soccer ball?---_______.I play it with my classmates.A.Yes,I doB.Yes,I amC.No,I don’tD.No,I’m not()15.---Let’s play volleyball.---_______.But my volleyball is not here.A.That sounds boringB.That sounds goodC.It’s under the bedD.Thank you二、完形填空(10分)Look at the girl.She is__1__good friend.She is__2__English girl.__3__name is Kate.__4__twelve. My__5__is Fangfang.__6__a Chinese girl.I’m eleven.Kate__7__a small sports collection.She has__8__tennis racket,three basketballs,and five baseballs,but I only__9__a soccer ball.Kate and I both__10__sports every day.()1.A.his B.her C.your D.my()2.A.a B.an C.the D.\()3.A.his B.she C.her D.she’s()4.A.she B.she’s C.her D.her’s()5.A.name B.book C.friend D.bag()6.A.I B.I’m C.she D.she’s()7.A.have B.has C.doesn’t have D.don’t have()8.A.one B.two C.three D.four()9.A.has B.have C.doesn’t have D.don’t have()10.A.plays B.Play C.playing D.to play三、阅读理解(20分)ABarry and Kim are twin(孪生的)brother and sister.But they like different sports.Barry likes soccer.He is in the school soccer club,and he plays soccer every day.He has9soccer balls in his bookcase.He also likes volleyball.He has2white volleyballs and2blue volleyballs.But Kim doesn’t like soccer or volleyball.She likes tennis.Tennis is interesting.She is in the school tennis club and she plays tennis every day.She has7 tennis balls and2tennis rackets in her room.She also likes baseballs.She has5baseballs:2green baseballs and 3yellow baseballs.根据短文内容,选择正确选项。
勤学早七下英语单元检测卷
勤学早七下英语单元检测卷勤学早七下英语单元检测卷一、单项选择(15分)( )1. She often goes to bed ________ 11 pm.A. inB. onC. at( )2. – What’s wrong with you? -- I have a cold. I feel ________.A. goodB. badC. well( )3. Don’t forget ________ off the lights when you leave the classroom.A. turnB. to turnC. turning( )4. The little girl ________ her head when she saw her father coming.A. turnsB. turnedC. is turning( )5. The students often ________ to school by bike.A. goB. goesC. went( )6. She ________ her friends a birthday present yesterday.A. boughtB. buysC. buy( )7. His father went to work ________ train.A. atB. byC. on( )8. ________ did you stay there?A. HowB. How manyC. How long( )9. – ________ did you get the ticket? -- From the travel agency.A. WhereB. HowC. How much( )10. ________you like some tea or coffee?A. DoesB. DoC. Is( )11. My mother asked me ________ the window.A. closeB. closesC. to close( )12. This time next week, we ________ a picnic.A. haveB. havingC. will have( )13. My grandpa ________ TV every evening.A. watchesB. watchC. is watching( )14. Excuse me. Could you tell me ________?A. when the bus comesB. where is the bus stationC. how to get to the bus station( )15. When it was raining, Mary stayed ________.A. indoorsB. in the classroomC. out二、完形填空(10分)Beth had a lot of work to do that day. She had to finish a 16 for school, go to the supermarket and 17 three birthday cards for her friends.She started ___18___ the report early in the morning. She worked for two hours and then she stopped ____19___ lunch. After lunch she decided to check her email. There was a new message ____20___ her old friend Jack. He ___21___ from another city and he wanted to ___22___ her.At the store, Beth remembered to buy a card, too. She didn’t ___23___ time to write a message, so she bought a funny card and wrote, “Happy Birthday. Love, Beth.” She bought two more ___24___ like this.Finally, she arrived at Jack’s place. He was so surprised to ___25___ her and they talked for a long time. Beth was glad that she could make Jack’s birthday special.( ) 16. A. piece B. map C. report( ) 17. A. buy B. wrote C. sell( ) 18. A. write B. to write C. writing( ) 19. A. for B. and C. us( ) 20. A. from B. with C. of( ) 21. A. came B. left C. sent( ) 22. A. visit B. recorded C. watched( ) 23. A. much B. much of C. a lot of( ) 24. A. one B. ones C. those( ) 25. A. find B. meet C. saw三、阅读理解(15分)AJohn is a student. He was born in Beijing, but he lives in Australia now. He likes Chinese food. And he also likes Australian food, such as hamburgers and fish and chips. On weekends, he usually plays basketball with his friends. He also likes to swim in summer.John often visits his grandparents in China. He has two sets of grandparents. One set lives in the north of China and the other set lives in the south. So every time he visits them, he has to travel more than 3,000 kilometers!( ) 26. Where was John born?A. He was born in Beijing.B. He was born in Australia.C. He was born in the north of China.( ) 27. What does John like to eat?A. Chinese food only.B. Australian food only.C. Both Chinese food and Australian food.( ) 28. What does John like to do on weekends?A. He likes to swim.B. He likes to play basketball.C. He likes to visit his grandparents.( ) 29. How far does John travel when he visits his grandparents?A. 3 kilometers.B. 300 kilometers.C. 3,000 kilometers. ( ) 30. What can we know from the passage?A. John lives in China.B. John has one set of grandparents.C. John visits his grandparents in Australia.BLi Mei and Mei Ling are twins. Li Mei is two minutes older than Mei Ling. They are always together.Li Mei is more outgoing(外向) than Mei Ling. She usually speaks first in a group. Mei Ling is quieter. She likes listening to music and reading books.Li Mei likes sports, such as basketball and football. After school, she always plays with her friends. But Mei Ling likes drawing. She often draws pictures and makes cards for her family.Li Mei and Mei Ling are different, but they love each other. ( ) 31. How old are Li Mei and Mei Ling?A. Seven years old.B. Eight years old.C. Nine years old. ( ) 32. Who speaks first in a group?A. Li Mei.B. Mei Ling.C. They don’t speak.( ) 33. What does Li Mei like to do after school?A. Listen to music.B. Play with her friends.C. Make cards for her family.( ) 34. What does Mei Ling like to do?A. Read books.B. Draw pictures.C. Play sports.( ) 35. What does the passage mainly tell us?A. Li Mei and Mei Ling’s ages.B. Li Mei and Mei Ling’s hobbies.C. Li Mei and Mei Ling’s characters.答案:一、1. C2. B3. B4. B5. A6. A7. B8. C9. B 10. B 11. C 12. C 13. A 14. C 15. A二、16. C 17. A 18. B 19. A 20. A 21. A 22. A 23. B 24. B 25. B三、26. A 27. C 28. B 29. C 30. B 31. C 32. A 33. B 34. B 35. B。
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单元检测卷(十五)概率与统计(选修·理科)时间:90分钟,满分:150分一、选择题(共8小题,每小题7分,满分56分)1.将一颗均匀骰子掷两次,不能作为随机变量的是( ) A .两次出现的点数之和 B .两次掷的最大点数 C .第一次减去第二次的点数差 D .两次掷出的点数[答案] D2.(2010·山东,6)样本中共有五个个体,其值分别为a,0,1,2,3.若该样本的平均值为1,则样本方差为( )A.65B.65 C.2D .2[解析] 由题意知a +0+1+2+3=5×1,解得a =-1. S 2=(-1-1)2+(0-1)2+(1-1)2+(2-1)2+(3-1)25=2,故选D. [答案] D3.已知随机变量X 的分布列为:P (X =k )=12k ,k =1,2,…,则P (2<X ≤4)等于( )A.316B.14C.116D.516[解析] P (2<X ≤4)=P (X =3)+P (X =4)=123+124=316[答案] A4.某项试验的成功率是失败率的2倍,用随机变量ξ描述一次试验成功的次数,则P (ξ=0)等于( )A .0 B.12 C.13D.23[解析] 由题意知,“ξ=0”表示试验失败,“ξ=1”表示试验成功. 则P (ξ=1)=2P (ξ=0)又P (ξ=1)+P (ξ=0)=1,∴P (ξ=0)=13[答案] C5.签盒中有编号为1、2、3、4、5、6的6支签,从中任意取3支,设X 为这3支签的号码之中最大的一个.则X 的均值为( )A .5B .5.25C .5.8D .4.6[解析] 由题意可知,X 可以取3、4、5、6, P (X =3)=1C 63=120;P (X =4)=C 32C 63=320;P (X =5)=C 42C 63=310;P (X =6)=C 52C 63=12,∴EX =3×120+4×320+5×310+6×12 5.25.[答案] B6.(2010·课标全国,6)某种种子每粒发芽的概率都为0.9,现播种了1000粒,对于没有发芽的种子,每粒需再补种2粒,补种的种子数记为X ,则X 的数学期望为( )A .100B .200C .300D .400[解析] 1000粒种子每粒不发芽的概率为0.1, ∴不发芽的种子数ξ~B (1000,0.1),∴1000粒种子中不发芽的种子数为1000×0.1=100粒, 又每粒不发芽需补种2粒; ∴需补种的数x =2×100=200. [答案] B7.一射手射击时其命中率为0.4,则该射手命中的平均次数为2次时,他需射击的次数为( )A .2B .3C .4D .5[解析] 设射手射击n 次的命中次数为ξ,则ξ~B (n ,p ),由题意知Eξ=0.4,n =2,解之,得n =5.[答案] D8.在4次独立重复试验中,随机事件A 恰好发生1次的概率不大于其恰好发生两次的概率,则事件A 在一次试验中发生的概率p 的取值范围是( )A .[0.4,1]B .(0,0.4]C .(0,0.6]D .[0.6,1)[解析] ∵事件A 在一次试验中发生的概率为p , ∴由条件知C 41p (1-p )3≤C 42p 2(1-p )2,解得p ≥0.4,故选A. [答案] A二、填空题(共6小题,每小题7分,满分42分)9.如果随机变量x 服从N (μ,σ2),且Ex =3,Dx =1.则μ=________,σ=________. [解析] 由正态分布性质得μ=3,σ=1. [答案] 3 110.某种电路开关闭合后,会出现红灯或绿灯闪动,已知开关第一次闭合后,出现红灯和出现绿灯的概率都是12.从开关第二次闭合起,若前次出现红灯,则下一次出现红灯的概率是13,出现绿灯的概率是23;若前次出现绿灯,则下一次出现红灯的概率是35,出现绿灯的概率是25.则三次发光中,出现一次红灯、两次绿灯的概率是______.[解析] 由题意,三次发光中,出现一次红灯、两次绿灯的情况共有如下三种方式: ①当出现绿、绿、红时的概率为:12×25×35;②当出现绿、红、绿时的概率为:12×35×23;③当出现红、绿、绿时的概率为:12×23×25;所以三次发光中,出现一次红灯、两次绿灯的概率为 12×25×35+12×35×23+12×23×25=3475. [答案]347511.已知随机变量ξ~N (3,22),若ξ=2η+3,则Dη=____________________________. [解析] ∵ξ=2η+3,∴Dξ=4Dη, 又Dξ=4,∴Dη=1. [答案] 112.同时抛掷两枚相同的均匀硬币,随机变量ξ=1表示结果中有正面向上,ξ=0表示结果中没有正面向上,则Eξ=________.[解析] 结果中没有正面向上的概率为14,此时ξ=0,而ξ=1时对应概率为34,故Eξ=1×34+0×14=34.[答案] 3413.已知某离散型随机变量ξ的数学期望Eξ=76,ξ的分布列如下:则a =__________.[解析] Eξ=76=0×a +1×13+2×16+3b ⇒b =16,又P (ξ=0)+P (ξ=1)+P (ξ=2)+P (ξ=3)=1⇒a +13+16+16=1⇒a =13.[答案] 1314.两名战士在一次射击比赛中,战士甲得1分、2分、3分的概率分别为0.4,0.1,0.5;战士乙得1分、2分、3分的概率分别为0.1,0.6,0.3,那么两名战士得胜希望大的是________.[解析] 甲获胜的期望与方差分别是:(Eξ)甲=0.4×1+0.1×2+0.5×3=2.1,(Dξ)甲=(2.1-1)2×0.4+(2.1-2)2×0.1+(2.1-3)2×0.5=0.89.乙获胜的期望与方差分别为:(Eξ)乙=0.1×1+0.6×2+0.3×3=2.2,(Dξ)乙=(2.2-1)2×0.1+(2.2-2)2×0.6+(2.2-3)2×0.3=0.456.∵乙的期望高于甲,且乙的水平比甲稳定,故得胜希望大的是乙.[答案] 乙三、解答题(共4小题,满分52分)15.(本小题满分12分)甲箱的产品中有5个正品和3个次品,乙箱的产品中有4个正品和3个次品.(1)从甲箱中任取2个产品,求这2个产品都是次品的概率;(2)若从甲箱中任取2个产品放入乙箱中,然后再从乙箱中任取一个产品,求取出的这个产品是正品的概率.[解] (1)从甲箱中任取2个产品的事件数为 C 82=8×72=28, 这2个产品都是次品的事件数为C 32=3. ∴这2个产品都是次品的概率为328.(2)设事件A 为“从乙箱中取出的一个产品是正品”,事件B 1为“从甲箱中取出2个产品都是正品”,事件B 2为“从甲箱中取出1个正品1个次品”,事件B 3为“从甲箱中取出2个产品都是次品”,则事件B 1、事件B 2、事件B 3彼此互斥.P (B 1)=C 52C 82=514,P (B 2)=C 51C 31C 82=1528, P (B 3)=C 32C 82=328,P (A |B 1)=23,P (A |B 2)=59P (A |B 3)=49,∴P (A )=P (B 1)P (A |B 1)+P (B 2)P (A |B 2)+ P (B 3)P (A |B 3). =514×23+1528×59+328×49=712. 16.(本小题满分12分)某运动员投篮命中率P =0.6, (1)求一次投篮时命中次数ξ的期望与方差; (2)求重复5次投篮时,命中次数η的期望与方差.[分析] (1)投篮一次有两个结果;命中与不中,因此命中次数ξ服从两点分布; (2)重复5次投篮可认为是5次独立重复试验,命中次数η服从二项分布. [解] (1)投篮一次,命中次数ξ的分布列为:则Eξ=0×0.4+1×0.6Dξ=(0-0.6)2×0.4+(1-0.6)2×0.6 =0.24.(2)由题意,重复5次投篮,命中的次数η服从二项分布,即η~B (5,0.6),由二项分布期望与方差的结论有:Eη=np =5×0.6=3,Dη=np (1-p )=5×0.6×0.4=1.2.17.(2010·福建,16)(本小题满分14分)设S 是不等式x 2-x -6≤0的解集,整数m ,n ∈S .(1)记“使得m +n =0成立的有序数组(m ,n )”为事件A ,试列举A 包含的基本事件; (2)设ξ=m 2,求ξ的分布列及其数学期望Eξ. [解] (1)由x 2-x -6≤0得-2≤x ≤3,即 S ={x |-2≤x ≤3}.由于m ,n ∈Z ,m ,n ∈S 且m +n =0,所以A 包含的基本事件为:(-2,2),(2,-2),(-1,1),(1,-1),(0,0).(2)由于m 的所有不同取值为-2,-1,0,1,2,3,所以ξ=m 2的所有不同取值为0,1,4,9,且有P (ξ=0)=16,P (ξ=1)=26=13,P (ξ=4)=26=13,P (ξ=9)=16.故ξ的分布列为:所以Eξ=0×16+1×3+4×3+9×6=6.18.(2011·深圳一模)(本小题满分14分)第26届世界大学生夏季运动会将于2011年8月12日至23日在深圳举行,为了搞好接待工作,组委会在某学院招募了12名男志愿志和18名女志愿者.将这30名志愿者的身高编成如下茎叶图(单位:cm):若身高在175 cm 以上(包括175cm)定义为“高个子”,身高在175 cm 以下(不包括175 cm)定义为“非高个子”,且只有“女高个子”才能担任“礼仪小组”.(1)如果用分层抽样的方法从“高个子”和“非高个子”中抽取5人,再从这5人中选2人,那么至少有一人是“高个子”的概率是多少?(2)若从所有“高个子”中选3名志愿者,用ξ表示所选志愿者中能担任“礼仪小姐”的人数,试写出ξ的分布列,并求ξ的数学期望.[解] (1)根据茎叶图,有“高个子”12人,“非高个子”18人,用分层抽样的方法,每个人被抽中的概率是530=16,所以选中的“高个子”有12×16=2人,“非高个子”有18×16=3人.用事件A 表示“至少有一名“高个子”被选中”,则它的对立事件A 表示“没有一名“高个子”被选中”,则P (A )=1-C 23C 25=1-310=710. 因此,至少有一人是“高个子”的概率是710.(2)依题意,ξ的取值为0,1,2,3.P (ξ=0)=C 38C 312=1455,P (ξ=1)=C 14C 28C 312=2855,P (ξ=2)=C 24C 18C 312=1255,P (ξ=3)=C 34C 312=155.因此,ξ的分布列如下:∴E ξ=0×1455+1×2855+2×1255+3×155=1.。