20191118手动选题组卷-学生用卷
20191118手动选题组卷学校:___________姓名：___________班级：___________考号：___________ 一、选择题（本大题共14小题，共42.0分）1.A. 54B. 45C. 36D. 272. 方程组{x −y =33x −8y =14的解为( )A. {x =−1y =2B. {x =1y =−2C. {x =−2y =1D. {x =2y =−13. 已知{3x +2y =k x −y =4k +3,如果x 与y 互为相反数,那么( )A. k =0B. k =−34C. k =−32 D. k =34 4. 下列方程是二元一次方程的是( )A. 2x +y =z −3B. xy =5C. 1x +5=3yD. x =y5. 已知关于x ,y 的方程组{ax +2y =1x −by =2,甲看错了a 得到的解为{x =1y =−2,乙看错了b 得到的解为{x =1y =1,他们分别把a 、b 错看成的值为( ) A. a =5,b =−1B. a =5,b =12C. a =−1,b =12D. a =−1,b =−16. 已知下列各式：①1x +y =2②2x −3y =5③12x +xy =2④x +y =z −1⑤x+12=2x−13,其中二元一次方程的个数是( )A. 1B. 2C. 3D. 47. 如果关于x ,y 的二元一次方程组{x +2y =k3x +5y =k −1的解x ,y 满足x −y =7,那么k 的值是( )A. −2B. 8C. 45D. −88. 将3x −2y =1变形,用含x 的代数式表示y ,正确的是( )A. x =1+2y 3B. y =3x−12C. y =1−3x 2D. x =1−2y 39. 已知{4x −5y +2z =0x +4y −3z =0(xyz ≠0),则x ：y ：z 的值为( )A. 1：2：3B. 3：2：1C. 2：1：3D. 不能确定10. 一汽艇顺流航行36千米与逆流航行24千米的时间都是3小时,如果设汽艇在静水中的速度为每小时x 千米,水流速度为每小时y 千米,那么下面所列方程正确的是( )A. {3(x −y)=363(x +y)=24 B. {3(x −y)=243(x +y)=36 C. {x −y =36x +y =24D. {3x =363y =2411. 一个两位数,十位上的数与个位上的数之和是7,如果把这个两位数加上9,所得的两位数的个位数字,十位数字恰好分别是原来两位数的十位数字和个位数字,则这个两位数是( )A. 34B. 43C. 25D. 5212. 若关于x ,y 的方程组{5x +3ay =16−bx +4y =15(其中a ,b 是常数)的解为{x =6y =7,则方程组{5(x +1)+3a(x −2y)=16−b(x +1)+4(x −2y)=15 的解为( )A. {x =6y =7B. {x =5y =−1C. {x =5y =1D. {x =5.5y =−113. 已知方程组{x −y =5ax +3y =b −1有无数多个解,则a 、b 的值等于( )A. a =−3,b =−14B. a =3,b =−7C. a =−1,b =9D. a =−3,b =1414. 为迎接2013年“亚青会”,学校组织了一次游戏：每位选手朝特制的靶子上各投三以飞镖,在同一圆环内得分相同.如图所示,小明、小君、小红的成绩分别是29分、43分和33分,则小华的成绩是( )A. 31分B. 33分C. 36分D. 38分二、填空题（本大题共17小题，共51.0分）15. 将方程2x −3y =5变形为用x 的代数式表示y 的形式是______ ．16. 已知关于x ,y 的二元一次方程组{ax +by =7bx +ay =8的解为{x =2y =3,那么关于m ,n 的二元一次方程组{a(m +n)+b(m −n)=7b(m +n)+a(m −n)=8的解为______ ．17. 若方程组{2x +3y =75x −y =9的解是方程3x +my =−1的一个解,则m =______． 18. 直线y −32x +3与直线y =32x 的交点坐标是________．19. 若关于x 的方程(k −2)x |k|−1+3y =6是二元一次方程,则k =________．20. 甲、乙两人一起运一批货物,甲搬了8分钟搬完了一半,甲休息一个小时以后,甲乙一起用了6分钟搬完这批货物.第二天又来了同样一批货,只有乙一个人搬,他需要几分钟搬完？21. 某厂共有140名生产工人,每个工人每天可生产螺栓25个或螺母20个,如果一个螺栓与两个螺母配成一套,那么使每天生产出来的产品配成最多套,每天应安排______ 名工人生产螺栓, ______ 名工人生产螺母．22. 有甲、乙、丙三种货物,若购买甲3件、乙7件、丙1件,共420元；若购买甲4件、乙10件、丙1件,共520元,现在购买甲、乙、丙各1件,共需______ 元.23. 如果方程组{y =−x +1y =(2k +1)x −3无解,那么直线y =(−k +1)x −3不经过第______象限．24. 某校初三(2)班40名同学为“希望工程”捐款,共捐款100元,捐款情况如下表：表格中捐款2元和3元的人数不小心被墨水污染,已看不清楚.若设捐款的2元的有x 名同学,捐款3元的有y 名同学.根据题意,可得方程组______ ．25. 小明在超市帮妈妈买回一袋纸杯,他把纸杯整齐地叠放在一起,如图所示,请你根据图中的信息,若小明把100个纸杯整齐叠放在一起时,它的高度约是______cm ．26. 如图所示,8个相同的长方形地砖拼成一个大长方形,则每块小长方形地砖的面积是______．27. 把某个式子看成一个整体,用一个变量取代替它,从而使问题得到简化,这叫整体代换或换元思想,请根据上面的思想解决下面问题：若关于x ,y 的方程组{a 1x +b 1y =c 1a 2x +b 2y =c 2的解是{x =6y =2,则关于x ,y 的方程组{3a 1(x +y)+2b 1(x −y)=5c 13a 2(x +y)+2b 2(x −y)=5c 2的解是______．28. 如果方程组{3x +7y =10ax +(a −1)y =5的解中x 与y 的值相等,那么a 的值是______． 29. 如图,利用函数图象回答下列问题：(1)方程组{x +y =3,y =2x 的解为________； (2)不等式2x >−x +3>0的解集为________．30. 已知方程组{x ：y ：z =1：2：7 2x −y +3z =42 的解为______ ．31. 设 表示三种不同的物体,现用天平称了三次,如图所示,那么这三种物体的质量分别为______ ；______ ；______ ．三、计算题（本大题共4小题，共24.0分）32. 已知当x =3,y =5与x =−4,y =−9都是方程y =kx +b 的解,求当x =72时,y 的值是多少？33. 解方程组：(1){x +2y =4x +y =1；(2){4(x −y −1)=3(1−y)−2x 2+y 3=2．34. 解方程组：(1){x −y =12x +y =5；(2){x+15=y−323x +4y =32． 35. 解方程组(1){x +y =8x 2+y 3=4；(2){x +y +z =12x +2y +5z =22x =4y．四、解答题（本大题共13小题，共104.0分）36. 某商场销售A ,B 两种品牌的教学设备,这两种教学设备的进价和售价如表所示：毛利润=(售价−进价)×销售量](1)该商场计划购进A ,B 两种品牌的教学设备各多少套？(2)通过市场调研,该商场决定在原计划的基础上,减少A 种设备的购进数量,增加B 种设备的购进数量,已知B 种设备增加的数量是A 种设备减少的数量的1.5倍.若用于购进这两种教学设备的总资金不超过69万元,问A 种设备购进数量至多减少多少套？37. 列方程组解应用题：为了鼓励市民节约用水,某市居民生活用水按阶梯式水价计费,下表是该市居民“一户一表”生活用水阶梯式计费价格表的一部分信：(水价计费=自来水销售费用+污水处理费用)已知小王家2017年4月份用水20吨,交水费66元；5月份用水25吨,交水费91元 (1)求a 、b 的值；(2)6月份小王家用水32吨,应交水费多少元．38. 去年春季,蔬菜种植场在15公顷的大棚地里分别种植了茄子和西红柿,总费用是26.5万元.其中,种植茄子和西红柿每公顷的费用和每公顷获利情况如表：请解答下列问题：(1)求出茄子和西红柿的种植面积各为多少公顷？ (2)种植场在这一季共获利多少万元？39. 已知方程组{ax −by =4ax +by =6与方程{3x −y =54x −7y =1的解相同,求a 、b ．40. 解三元一次方程组：{y +z −x =−5①x +y −z =−1②x +z −y =15③41. 某体育文化用品商店购进篮球和排球共30个,进价和售价如下表,全部销售完后共获利润660元．篮球 排球 进价(元/个) 150 120 售价(元/个)175140(2)销售8个篮球的利润与销售几个排球的利润相等？42. 两人骑自行车在400米环形跑道上用不变的速度行驶,当他们按相反的方向行驶时,每20秒钟相遇一次；若按同一方向行驶,那么每100秒钟相遇一次,问两个的速度各是多少？43. 小明在拼图时,发现8个一样大小的长方形恰好可以拼成一个大的长方形,如图(1),小红看见了,说：“我来试一试”结果小红七拼八凑,拼成了如图(2)的正方形,中间还留下一个洞,恰好边长是2mm 的小正方形,你能计算出每个长方形的长和宽吗？44. 如图,直线的函数解析式为y =2x −2,直线l 1与x 轴交于点D.直线l 2：y =kx +b 与x 轴交于点A ,且经过点B(1,3),如图所示.直线l 1、l 2交于点C(m,2)． (1)求点D 、点C 的坐标； (2)求直线l 2的函数解析式；(3)利用函数图象写出关于x 、y 的二元一次方程组{y =2x −2y =kx +b的解．45. (用方程或方程组解答本题)根据小敏、小聪、小东、小强四人的对话内容,请你设计一下,分别安排多少立方米木料做桌面,多少立方米木料做桌腿,才能使得生产出来的桌面和桌腿及库存的桌腿恰好全部配套？46.某蔬菜公司收购到某种蔬菜280吨,准备加工后上市销售.该公司的加工能力是：每天可以精加工12吨或者粗加工32吨.现计划用15天完成加工任务,该公司应安排几天粗加工,几天精加工,才能按期完成任务？如果每吨蔬菜粗加工后的利润为1500元,精加工后为3000元,那么该公司出售这些加工后的蔬菜共可获利多少元？47.如图,已知直线l1：y1=2x+1与坐标轴交于A、C两点,直线l2：y2=−x−2与坐标轴交于B、D两点,两线的交点为P点。
2018-2019学年第一学月考试
Confucius is not only a great teacher, but also a famous thinker with wise thoughts about the world and society. His most important teachings are about kindness and good manners. “A person should be strict with himself, but bekind to others.” he said.
18. When was the building built?
A. In 1718. B. In 1782. C. In 1930.
19. What was the building used as at the time of the fire?
A. A hotel.
20200330手动选题组卷-学生用卷
一、选择题（本大题共25小题，共100分）1.如图所示，在同一直角坐标系中，一次函数y=k1x、y=k2x、y=k3x、y=k4x的图象分别为l1、l2、l3、l4，则下列关系中正确的是()A. k2<k1<k4<k3B. k1<k2<k4<k3C. k2<k1<k3<k4D.k1<k2<k3<k42.若正比例函数y=kx(k≠0的常数)的图象在第二、四象限，则一次函数y=2x+k的图象大致位置是()A. B. C. D.3.当x>0时，y与x的函数解析式为y=2x，当x≤0时，y与x的函数解析式为y=−2x，则在同一直角坐标系中的图象大致为()A. B. C. D.4.正比例函数y=kx与一次函数y=x−k在同一坐标系中的图象大致应为()A. B. C. D.5.如图中表示一次函数y=mx+n与正比例函数y=mnx(m、n是常数，mn≠0)图象的是()A. B. C. D.6.直线y=−kx+k−3与直线y=kx在同一坐标系中的大致图象可能是()A. B. C. D.7.已知正比例函数y=kx(k≠0)的图象经过二、四象限，则一次函数y=kx−k的图象大致是()A. B. C. D.8.已知正比例函数y=(m−1)x的图象上两点A(x1,y1)，B(x2,y2)，当x1<x2时，有y1>y2，那么m的取值范围是()A. m<1B. m>1C. m<2D. m>0x的图象如图所示，则一次函数y=mx+n图象大致是()9.已知正比例函数y=mnA. B. C. D.10.关于函数y=−2x−1，下列结论正确的是()A. 图象必经过(−2,1)B. 若两点A(x1,y1)，B(x2,y2)在该函数图象上，且x1<x2，y1<y2C. 函数的图象向下平移1个单位长度得y=−2x−2的图象D. 当x>0.5时，y>011.函数y=(m−4)x+2m−3的图象经过一、二、四象限，那么m的取值范围是()A. m<4B. 1.5<m<4C. −1.5<m<4D. m>412.对于一次函数y=−2x+4，下列结论错误的是()A. 函数的图象不经过第三象限B. 函数的图象与x轴的交点坐标是(0,4)C. 函数的图象向下平移4个单位长度得y=−2x的图象D. 函数值随自变量的增大而减小13.对于一次函数y=−2x+4，下列结论错误的是()A. 函数的图象与x轴的交点坐标是(0,4)B. 函数值随自变量的增大而减小C. 函数的图象不经过第三象限D. 函数的图象向下平移4个单位长度得y=−2x的图象14.对于函数y=−2x+1有以下四个结论，其中正确的结论是()A. 函数图象必经过点(−2,1)B. 函数图象经过第一、二、三象限C. 函数值y随x的增大而增大D. 当x>1，时，y<0215.当k<0时，一次函数y=kx−k的图象不经过()A. 第一象限B. 第二象限C. 第三象限D. 第四象限16.如图是一次函数y=kx+b的图象，当y<−2时，x的取值范围是()A. x<3B. x>3C. x<−1D. x>−1x+2图象上的两点，下列判断中，17.已知P1(x1,y1)，P2(x2,y2)是一次函数y=−13正确的是()A. y1>y2B. y1<y2C. 当x1<x2时，y1<y2D. 当x1<x2时，y1>y218.如图，已知一次函数y=kx+b的图象与x轴，y轴分别交于点(2,0)，点(0,3).有下列结论：①关于x的方程kx+b=0的解为x=2；②关于x的方程kx+b=3的解为x=0；③当x>2时，y<0；④当x<0时，y<3.其中正确的是()A. ①②③B. ①③④C. ②③④D. ①②④19.已知：将直线y=x−1向上平移2个单位长度后得到直线y=kx+b，则下列关于直线y=kx+b的说法正确的是()A.与x轴交于(1,0)B.与y轴交于(0,1)C. y随x的增大而减小D. 经过第一、二、四象限20.若点(x1,y1)，(x2,y2)，(x3,y3)都是一次函数y=−x−1图象上的点，并且y1<y2<y3，则下列各式中正确的是()A. x1<x2<x3B. x1<x3<x2C. x2<x1<x3D. x3<x2<x121.对于一次函数y=−2x+4，下列结论错误的是()A. 函数的图象不经过第三象限B. 函数的图象与x轴的交点坐标是(2,0)C. 函数的图象向下平移4个单位长度得y=−2x的图象D. 若两点A(x1,y1)，B(x2,y2)在该函数图象上，且x1<x2，则y1<y222.已知一次函数y=kx+b，当0≤x≤2时，对应的函数值y的取值范围是−2≤y≤4，则kb的值为()A. 12B. −6C. −6或−12D. 6或1223.一次函数y=kx+b满足kb<0，且y随x的增大而减小，则此函数的图象一定不经过()A. 第一象限B. 第二象限C. 第三象限D. 第四象限24.已知，点A(−2,y1)，B(−1,y2)，C(1,y3)都在函数y=−2x+b的图象上，则关于y1，y2，y3的大小关系正确的是()A. y3<y2<y1B. y1<y2<y3C. y2<y1<y3D. y3<y1<y225.点A(x1,y1)、B(x2,y2)都在直线y=kx+2(k<0)上，且x1<x2则y1、y2的大小关系是()A. y1 <y2B. y1 =y2C. y1 ≥y2D. y1 >y2。
2018-2019学年度学校4月月考卷试卷副标题
绝密★启用前2018-2019学年度???学校4月月考卷试卷副标题考试范围：xxx ；考试时间：100分钟；命题人：xxx注意事项：1．答题前填写好自己的姓名、班级、考号等信息 2．请将答案正确填写在答题卡上第I 卷（选择题)请点击修改第I 卷的文字说明一、单选题1．一辆汽车在平直公路上做刹车实验，t ＝0时刻起运动过程的位移x (m)与速度v (m/s)的关系式为2100.1x v =-，下列分析正确的是( ) A ．上述过程的加速度大小为10m/s 2 B ．刹车过程持续的时间为5s C ．t ＝0时刻的初速度为10m/sD ．刹车过程的位移为5m2．对于如图所示的情境，交通法规定“车让人”，否则驾驶员将受到处罚．若以8m/s 匀速行驶的汽车即将通过路口，有行人正在过人行横道，此时汽车的前端距停车线8m ，该车减速时的加速度大小为5m/s 2.下列说法中正确的是( )A ．驾驶员立即刹车制动，则至少需2s 汽车才能停止B ．在距停车线6m 处才开始刹车制动，汽车前端恰能止于停车线处C ．若经0.2s 后才开始刹车制动，汽车前端恰能止于停车线处D ．若经0.4s 后才开始刹车制动，汽车前端恰能止于停车线处3．斜面长度为4m ，一个尺寸可以忽略不计的滑块以不同的初速度0v 从斜面顶端沿斜面下滑做匀减速直线运动，其下滑距离x 与初速度二次方20v 的关系图象（即20x v -图象）如图所示（ ）试卷第2页，总8页…………○…………外…………○…………装…………○…………订…………○…………线…………○…………※※请※※不※※要※※在※※装※※订※※线※※内※※答※※题※※…………○…………内…………○…………装…………○…………订…………○…………线…………○…………A ．滑块下滑的加速度大小为28m/sB ．滑块下滑的加速度大小为24m/sC ．若滑块下滑的初速度为5.0m/s ，则滑块沿斜面下滑的时间为1sD ．若滑块下滑的初速度为5.0m/s ，则滑块沿斜面下滑的时间为4s4．李师傅驾驶汽车在平直公路上以20m/s 的速度匀速行驶，某时刻看到前方有障碍物，从看到障碍物到刹车做匀减速运动停下，位移随速度变化的关系如图所示，图象由一段平行于x 轴的直线与一段曲线组成。
赣州市2018-2019学年度第二学期高三年级(文科)数学测试卷及答案
赣州市2018-2019学年度第二学期高三年级(文科)数学测试卷及答案一、选择题：本大题共12个小题，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.设集合{1,0,1}A =-，2{|}B x x x ==，则A B ⋂=（ ） A ．{1} B ．{1}- C ．{0,1} D ．{1,0}-2.已知,a b R ∈，复数21ia bi i+=+，则a b +=（ ） A ．2 B ．1 C ．0 D ．-23.若角α的终边经过点(1,，则sin α=（ ）A ．12- B ．．12D ．4. “搜索指数”是网民通过搜索引擎，以每天搜索关键词的次数为基础所得到的统计指标.“搜索指数”越大，表示网民对该关键词的搜索次数越多，对该关键词相关的信息关注度也越高.下图是2017年9月到2018年2月这半年中，某个关键词的搜索指数变化的走势图.根据该走势图，下列结论正确的是（ ）A ．这半年中，网民对该关键词相关的信息关注度呈周期性变化B ．这半年中，网民对该关键词相关的信息关注度不断减弱C. 从网民对该关键词的搜索指数来看，去年10月份的方差小于11月份的方差 D ．从网民对该关键词的搜索指数来看，去年12月份的平均值大于今年1月份的平均值5.已知直线:l y m =+与圆22:(3)6C x y +-=相交于A 、B 两点，若||AB =实数m 的值等于（ ）A ．-7或-1B ．1或7 C.-1或7 D ．-7或1 6.执行下面的程序框图，如果输入1a =，1b =，则输出的S =（ ）A ．54B ．33 C. 20 D ．77.一个简单几何体的三视图如图所示，其中正视图是等腰直角三角形，侧视图是边长为2的等边三角形，则该几何体的体积等于（ ）A ．3B ．3 D ．28. 若直线(01)x a a π=<<与函数tan y x =的图像无公共点，则不等式tan 2x a ≥的解集为（ ） A ．{|,}62x k x k k Z ππππ+≤<+∈ B ．{|,}42x k x k k Z ππππ+≤<+∈C. {|,}32x k x k k Z ππππ+≤<+∈ D ．{|,}44x k x k k Z ππππ-≤≤+∈9.设函数24,1()ln 1,1x x a x f x x x ⎧-+<=⎨+≥⎩的最小值是1，则实数a 的取值范围是（ ）A ．(,4]-∞B ．[4,)+∞ C.(,5]-∞ D ．[5,)+∞ 10.数列{}n a 满足1(1)n n n a a n ++=-⋅，则数列{}n a 的前20项的和为（ ） A ．-100 B ．100 C. -110 D ．11011.已知1F ，2F 是椭圆2222:1(0)x y E a b a b+=>>的两个焦点，过原点的直线l 交E 于,A B两点，220AF BF ⋅=，且22||34||AF BF =，则E 的离心率为（ ） A ．12B ． 34C.27D ．5712.已知函数()(ln )xe f x k x x x=+-，若1x =是函数()f x 的唯一极值点，则实数k 的取值范围是（ ）A ．(,]e -∞B ．(,)e -∞ C. (,)e -+∞ D ．[,)e -+∞ 二、填空题（每题5分，满分20分，将答案填在答题纸上）13. 已知变量x ，y 满足3040240x x y x y +≥⎧⎪-+≤⎨⎪+-≤⎩，则3z x y =+的最小值为．14.已知向量a ，b 满足a b ⊥，||1a =，|2|22a b +=，则||b =． 15.在ABC △中，角,,A B C 所对的边分别是,,a b c ，若1cos 4C =，3c =，且cos cos a bA B=，则ABC △的面积等于．16. 如图，等腰PAB △所在平面为α，PA PB ⊥，6AB =.G 是PAB 的重心.平面α内经过点G 的直线l 将PAB △分成两部分，把点P 所在的部分沿直线l 翻折，使点P 到达点'P （'P ∉平面α）.若'P 在平面α内的射影H 恰好在翻折前的线段AB 上，则线段'P H 的长度的取值范围是．三、解答题 （本大题共6小题，共70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{}n a 中，4524a a a +=，3621a a -=. （1）求{}n a 的通项公式； （2）设11n n n b a a +=，求数列{}n b 的前n 项和n S . 18.在贯彻中共中央国务院关于精准扶贫政策的过程中，某单位定点帮扶甲、乙两个村各50户贫困户.为了做到精准帮扶，工作组对这100户村民的年收入情况、劳动能力情况、子女受教育情况、危旧房情况、患病情况等进行调查，并把调查结果转化为各户的贫困指标x 和y ，制成下图，其中“*”表示甲村贫困户，“+”表示乙村贫困户.若00.6x <<，则认定该户为“绝对贫困户”，若0.60.8x ≤≤，则认定该户为“相对贫困户”，若0.81x <≤，则认定该户为“低收入户”；若100y ≥，则认定该户为“今年能脱贫户”，否则为“今年不能脱贫户”. （1）从乙村的50户中随机选出一户，求该户为“绝对贫困户”的概率； （2）从甲村所有“今年不能脱贫的非绝对贫困户”中任选2户，求选出的2户均为“低收入户”的概率；（3）试比较这100户中，甲、乙两村指标y 的方差的大小（只需写出结论）. 19.如图，直三棱柱111ABC A B C -中，M 是AB 的中点.（1）证明：1//BC 平面1MCA ；（2）若122AB A M MC ===，BC =1C 到平面1MCA 的距离.20.设抛物线2:2(0)C y px p =>的焦点为F ，准线为l .已知点A 在抛物线C 上，点B 在l 上，ABF 是边长为4的等边三角形. （1）求p 的值；（2）在x 轴上是否存在一点N ，当过点N 的直线l '与抛物线C 交于Q 、R 两点时，2211||||NQ NR +为定值？若存在，求出点N 的坐标，若不存在，请说明理由. 21.函数()1x f x e x =--，()(cos 1)x g x e ax x x =++. （1）求函数()f x 的极值；（2）若1a >-，证明：当(0,1)x ∈时，()1g x >.请考生在22、23两题中任选一题作答，如果多做，则按所做的第一题记分. 22.选修4-4：坐标系与参数方程在平面直角坐标系xOy 中，圆O 的方程为224x y +=，以坐标原点为极点，x 轴的正半轴为极轴建立极坐标系，曲线C 的极坐标方程是2cos 21ρθ=. （1）求圆O 的参数方程和曲线C 的直角坐标方程；（2）已知M ，N 是曲线C 与x 轴的两个交点，点P 为圆O 上的任意一点，证明：22||||PM PN +为定值.23.选修4-5：不等式选讲 已知函数()|1|f x x =-.（1）解不等式(2)(4)6f x f x ++≥；（2）若a 、b R ∈，||1a <，||1b <，证明：()(1)f ab f a b >-+.试卷答案一、选择题1-5:CABDC 6-10: CDBBA 11、12：DA 二、填空题16. 三、解答题 17. 解：（1）由45236421a a a a a +=⎧⎨-=⎩，得112301a d a d -=⎧⎨-=⎩，解得132a d =⎧⎨=⎩.所以，数列{}n a 的通项公式为21n a n =+. （2）111(21)(23)n n n b a a n n +==++111()22123n n =-++， 所以{}n b 的前n 项和1111111()235572123n S n n =-+-++-++111()232369nn n =-=++. 所以69n nS n =+. 18.解：（1）由图知，在乙村50户中，指标0.6x <的有15户， 所以，从乙村50户中随机选出一户，该户为“绝对贫困户”的概率为1535010P ==. （2）甲村“今年不能脱贫的非绝对贫困户”共有6户，其中“相对贫困户”有3户，分别记为1A ，2A ，3A .“低收入户”有3户，分别记为1B ，2B ，3B ，所有可能的结果组成的基本事件有：12{,}A A ，13{,}A A ，11{,}A B ，12{,}A B ，13{,}A B ， 23{,}A A ，21{,}A B ，22{,}A B ，23{,}A B ，31{,}A B ，32{,}A B ，33{,}A B ， 12{,}B B ，13{,}B B ，23{,}B B .共15个，其中两户均为“低收入户”的共有3个，所以，所选2户均为“低收入户”的概率31155P ==. （3）由图可知，这100户中甲村指标y 的方差大于乙村指标y 的方差. 19.解：（1）连接1AC ，设1AC 与1A C 的交点为N ，则N 为1AC 的中点，连接MN ，又M 是AB 的中点，所以1//MN BC .又MN ⊂平面1MCA ，1BC ⊂/平面1MCA ，所以1//BC 平面1MCA .（2）由22AB MC ==，M 是AB 的中点，所以90ACB ︒∠=， 在直三棱柱中，12A M =，1AM =，所以1AA =又BC =AC =1AC ，所以190A MC ︒∠=. 设点1C 到平面1MCA 的距离为h ，因为1AC 的中点N 在平面1MCA 上，故A 到平面1MCA 的距离也为h ，三棱锥1A AMC -的体积113AMC V SAA =⋅=，1MCA 的面积1112S A M MC =⋅=，则1133V Sh h ===h =故点1C 到平面1MCA20. 解：（1）由题知，||||AF AB =，则AB l ⊥.设准线l 与x 轴交于点D ，则//AB DF .又ABF 是边长为4的等边三角形，60ABF ︒∠=，所以60BFD ︒∠=，1||||cos 422DF BF BFD =⋅∠=⨯=，即2p =. （2）设点(,0)N t ，由题意知直线l '的斜率不为零， 设直线l '的方程为x my t =+，点11(,)Q x y ，22(,)R x y ，由24x my t y x=+⎧⎨=⎩得，2440y my t --=，则216160m t ∆=+>，124y y m +=，124y y t ⋅=-. 又222222211111||()()(1)NQ x t y my t t y m y =-+=+-+=+，同理可得2222||(1)NR m y =+，则有2211||||NQ NR +=22221211(1)(1)m y m y +=++221222212(1)y y m y y +=+2121222212()2(1)y y y y m y y +-=+222222168216(1)(22)m t m t m t m t ++=++.若2211||||NQ NR +为定值，则2t =，此时点(2,0)N 为定点. 又当2t =，m R ∈时，0∆>，所以，存在点(2,0)N ，当过点N 的直线l '与抛物线C 交于Q 、R 两点时，2211||||NQ NR +为定值14.21.解：（1）函数()1x f x e x =--的定义域为(,)-∞+∞，()1x f x e '=-， 由()0f x '>得0x >，()0f x '<得0x <，所以函数()f x 在(,0)-∞单调递减， 在(0,)+∞上单调递增，所以函数()f x 只有极小值(0)0f =.（2）不等式()1g x >等价于1cos 1x ax x x e++>，由（1）得：1xe x ≥+. 所以111x e x <+，(0,1)x ∈，所以11(cos 1)(cos 1)1x ax x x ax x x e x ++->++-+cos 1x ax x x x =+++1(cos )1x a x x =+++.令1()cos 1h x x a x =+++，则21()sin (1)h x x x '=--+，当(0,1)x ∈时，()0h x '<， 所以()h x 在(0,1)上为减函数，因此，1()(1)cos12h x h a >=++， 因为1cos1cos32π>=，所以，当1a >-时，1cos102a ++>，所以()0h x >，而(0,1)x ∈，所以()1g x >.22.解：（1）圆O 的参数方程为2cos 2cos x y αα=⎧⎨=⎩，（α为参数），由2cos 21ρθ=得：222(cos sin )1ρθθ-=，即2222cos sin 1ρθρθ-=， 所以曲线C 的直角坐标方程为221x y -=.（2）由（1）知(1,0)M -，(1,0)N ，可设(2cos ,2sin )P αα，所以22||||PM PN +=2222(2cos 1)(2sin )(2cos 1)(2sin )αααα+++-+54cos 54cos 10αα=++-=所以22||||PM PN +为定值10.23.解：（1）由(2)(4)6f x f x ++≥得：|21||3|6x x -++≥， 当3x <-时，2136x x -+--≥，解得3x <-； 当132x -≤≤时，2136x x -+++≥，解得32x -≤≤-；当12x >时，2136x x -++≥，解得43x ≥；综上，不等式的解集为4{|2}3x x ≤-≥或.（2）证明：()(1)|1||f ab f a b ab a b >-+⇔->-， 因为||1a <，||1b <，即21a <，21b <，所以22|1|||ab a b ---=2222212a b ab a ab b -+-+-=22221a b a b --+=22(1)(1)0a b -->， 所以22|1|||ab a b ->-，即|1|||ab a b ->-，所以原不等式成立.。
2018—2019学年度第二学期中期考试_1
2018—2019学年度第二学期中期考试注意事项：本试卷共120分,共12 页。
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分阅读理解（共两节,满分40分）（共15小题；每小题2分,满分30分）阅读下列短文,从每题所给的四个选项（A、B、C和D）中,选出最佳选项。
AHere are some music festivals that you might be interested in .BoogieTallarook, VIC(26－28 March)Boogie is definitely kid-friendly, but with a few rules. Kids are welcome, but need to b e fully supervised（监管） at all times and out of the licensed area by 10 pm. Kids u nder 8 years old are admitted for free. Kids between 8 and16 get in cheaper. There are some activities for kids and a great kid-friendly area.Splendour in the GrassByron Bay, NSW(24－26 July)Look, Splendour can be pretty crazy, so if you and your kids a re out of practice with handling festivals and the stress they c an sometimes bring, maybe you should try starting smaller. B ut if you feel like you can do it, then your kids are welcome to hit Splendour with you. The usual rules apply — you'll need to have them with you at all times if they are under 16 and they can't go into bars. If the child is under 11, then they will get infor free.The Gum BallHunter Valley, NSW(22－24 April)We didn't originally include the Gum Ball because they took la st year off and we wanted to make sure they were definitely re turning. Not because we have anything against them. On the contrary, they are one event that manages to balance brilliant music and a family-friendly vibe(氛围).Bellingen TurtlefestBellingen(30 September－2 October)Great music for a great cause! Bellingen Turtlefest has been s et up to raise funds and awareness for the critically endanger ed Bellinger River Snapping Turtle, while giving families a cha nce to enjoy some great music at the same time. There's a kid zone, sideshows, workshops and markets, but also an educati on center and some guest speakers so that the kids (and you) can learn a thing or two while you're at the event.1. If a 10-year-old goes to Boogie, he/she_____.A.cannot find a great kid-friendly area thereB. must leave the licensed area by 11 pmC. must stay with an adult all the timeD. doesn't have to pay for admission2.Which of the following festivals failed to be included in the b eginning?A. The Gum BallB. Splendour in the GrassC. BoogieD. Bellingen Tu rtlefest3.What do the festivals have in common?A. They're all held in the summertime.B. They're all free for kids under 11.C. They're all concerned with wildlife.D. They're are suitable for the whole family.BAt a daycare center in , children were playing outside. One of the children was Jessica Mc Clure. She was 18 months old. H er mother, who worked at the daycare center, was watching t he children. Suddenly Jessica fell and disappeared. Jessica's mother screamed and ran to her.A well was in the yard of the center. The well was only eight in ches across and a rock always covered it. But children had m oved the rock. When Jessica fell, she fell right into the well.Jessica's mother reached inside the well, but she couldn't feel Jessica. She dialed 911 for help. Men from the fire departme nt arrived. They discovered that Jessica was about 20 feet do wn in the well. For the next hour the men talked and planned Jessica's rescue."We can't go down into the well," they said."It's too narrow. So , we're going to drill a hole next to the well. Then we'll drill a tu nnel across to Jessica. When we reach her, we'll bring her thr ough the tunnel and up through our hole."The men began to drill the hole at 11 a.m. on Wednesday, Oc tober 14, 1987. The men had a difficult job; they were drilling t hrough solid rock. During her days in the well, Jessica someti mes asked for her mother. Sometimes she slept, sometimes s he cried and sometimes she sang.All over the world, people waited for news of Jessica. Everyon e worried about her.At 8 p.m. on Friday, October 16, men reached Jessica and br ought her up from the well. She was soon sent to hospital. Je ssica was dirty, hungry, thirsty and tired. Her feet and forehead were badly injured. But Jessica was alive.After Jessica's rescue, one of the rescuers made a metal cov er for the well, saying,"To Jessica, with love from all of us." 4. What is the mother's reaction when the accident happened ?A. She was so worried that she didn't know what to do.B. She shouted and rushed to help her child quickly.C. She called the police for help immediately.D. She asked her colleagues for help.5. All of the following statements are true except _____ accord ing to the passage.A.Jessica was too frightened to say a word when she was in t he well.B. Men from the fire department saved Jessica.C. Children had moved the rock before Jessica fell into the we ll.D. Jessica was alive although she was injured.6. Jessica stayed in the well at least _____.A. 47 hoursB. 48 hoursC. 57 hoursD. 58 hours7. What may be the best title for the passage?A. 911's WorkB. Everybody's Baby--JessicaC.American ChildD. Mother's Mistake CPablo Picasso was an amazing painter who experimented wit h colour and shape. Picasso wanted to find ways to paint emo tions. His paintings opened people's minds and showed there were many ways to express ideas.Born in Spain in 1881, Picasso learned to paint at an early ag e because his father was a painter. At fourteen,Picasso bega n attending the Academy of Fine Arts in Barcelnoa. Although Picasso did well,his teacher wouldn't let him develop his own style. So he change schools. Though his new teachers praise d his work, they still criticized it as being too different. Picasso made up his mind to express himself in his own way. Disappointed with his career in Spain, nineteen-year-old Picasso moved to Pairs, where he learned about abstract art. He started copying famous paintings so he could paint in any style. However, an important development in his own styl e came along when his best friend committed suicide（自杀）. Picasso was so upset that he painted only in blue and g ray. He painted the poor and the disabled. This is known as hi s "Blue Period".In 1904, his painting style changed again when he fall in love with an artist's model. He began painting everything with color s of rose,red and pink.He mainly painted artists during this tim e,called his "Rose Period."Picasso's style went through style change as he began to lear n African art and geometry（几何学）. Instead of painting with different colors, he used differen t shapes. His paintings made people surprise because they lo oked like they had been broken and put back together incorre ctly. Everything was geometric and abstract. Picasso's new st yle became known as "Cubism." Cubism was so unique it bec ame very popular.Pablo Picasso in most remembered for his Blue, Rose, and C ubist periods. But Picasso never stopped experimenting with painting.His painting styles kept changing until his death at th e age of ninety-two.8.Picasso's school teachers in Spain_______.A.taught him a new way of painting.B. Praised him for good grades.C. made him drop out of school.D. disliked his creativity9. What's Paragraph 3 mainly about?A. What Picasso learned in Paris.B. The death of Picasso's best friend.C. How the Blue Period came into being.D.The copies of Picasso's paintings.10. What had a great influence on Picasso's painting style dur ing his Rose Period?A.Sadness.B.Love.C. Flowers.D. Frien dship11. What can we learn about Cubism?A.It was thought to be unusual.B.It has objects that look real.C.It uses the same shapes.D.It was inspired by African buildings.DCamping is a good way to spend time along with your kids an d to show them how wonderful nature can be. Through campi ng, children can discover new things about nature, such as flo wers, birds, and other small animals. Camping gives kids time to get away from all the electronics (电子) of today's culture. So it is necessary to plan exciting and e njoyable family camping trips with your children while they are young.When planning your family camping trip, consider the activitie s your kids like: games, hiking, swimming, boating, bicycling, etc. Select a camping place that has some of the activities the kids are interested in. Meal planning is an important part of y our camping trip. Plan the meals together, and kids love to ch oose what they want to eat.When starting to pack for your trip, let the kids pack their own items (物品) . Each person should have his/her own sleeping bag with a luggage (行李) bag to put it in. Personal items should be packed with their sleeping bags. Encourage the kids to put their items in a cert ain place and always return it when they have finished using it .When you have arrived at your campsite, make all the camping activities a family activity, which will help children to realize how important team-work is. Everyone can have his/her own job sitting up the cam psite. Meal time can be a fun time. So let the older ones help with the cooking on your outdoor camping stove while the you nger ones get the picnic table ready.12. Which of the following is the best place for a family campi ng?A. A place covered with forests.B. A place with a river and wild animals.C.A place where kids can find various foods they like.D. A place which provides many interesting activities.13. What does the author advise parents to do while planninga family camping trip?A. Encourage the children to take care of their own things.B. Keep the children away from animals.C. Take more food to meet the children's need.D. Let the children learn by watching.14. When at the campground, it is necessary to __________.A. allow the children to cookB.give children enough time to playC. make everyone have work to doD. keep the picnic table full of food15. For whom is the passage most probably written?A.TeachersB. Parents.C. Kids.D. Teenagers. (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。
2018-2019学年第二学期第1次考试_1
2018-2019学年第二学期第1次考试注意事项：1、全卷共七大题，100小题。
满分共150分，测试时间120分钟。
2、答题前，务必将自己的班级、姓名、考号填写在答题卡规定的位置上。
3、答选择题时，必须使用2B铅笔将答题卡上对应题目的答案标号涂黑，如果改动，用橡皮擦擦干净后，再选择其它答案标号。
4、答非选择题时，用圆珠笔或黑色签字笔将答案书写在答题卡规定的位置上。
5、所有题目必须在规定的答题卡上作答，在试卷上作答无效。
一、听力理解（共15小题，每小题1分，满分15分）第一节听下面4段对话，每段对话后有一个小题，从题中所给的A、B、C三个选项中选出最佳选项，并标在试卷的相应位置。
听完每段对话后，你将有10秒钟的时间来回答有关小题和阅读下一小题。
每段对话仅读一遍。
What will the man buy?Some milk. B. Some eggs. C. some veg etables.Who will go to pick up Mary?Mike. B. Ted. C. The woman. How long will the flight be delayed?For an hour. B. For two hours. C. For three hou rs.What does the woman want to tell the man?She has already left.He doesn’t need to worry.She wants to watch a movie.第二节听下面5段对话或独白，每段对话和独白后有几个小题，从所听到的内容中获取信息，回答相应小题。
听每段对话或独白前，你将有时间阅读各个小题。
每小题5秒钟；听完后，各小题给出5秒钟的做答时间。
每段对话或独白读两遍。
听第5段材料，回答第5、6题。
What are the speakers doing there?Having a picnic.Taking photos for work.Doing research on yellow flowers.What is the most probable relationship between the speakers?Colleagues. B. Guide and tourist. C. Husband and wife.听第6段材料，回答第7至9题。
2018-2019学年度福州市八年级第一学期质量调研试题2019年1月及评分标准
准考证号: （在此卷上答题无效）2018-2019学年度福州市八年级第一学期质量调研数学试卷本试卷分第I 卷（选择题）和第n 卷（非选择题）两部分，完卷时间 120分钟,满分150分. 注意事项：1 .答题前，考生务必在试题卷、 答题卡规定位置填写本人准考证号、姓名等信息.考生要认真核对答题卡上粘贴的条形码的“准考证号、姓名”与考生本人准考证 号、姓名是否一致.2 .选择题每小题选出答案后，用 2B 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.非选择题答案用 0.5毫米黑色墨水签字笔在答题卡上相应位置书写作答，在试题卷上答题无效.3 .作图可先使用 2B 铅笔画出，确定后必须用 0.5毫米黑色墨水签字笔描黑.4 .考试结束，考生必须将试题卷和答题卡一并交回.第I 卷、选择题（本题共 10小题，每小题 有一项是符合题目要求的）3 .若一个多边形的内角和与它的外角和相等，则这个多边形是A.三角形B.四边形C.五边形D.六边形4 .下列计算正确的是八5510A. a +a =a824姓名:4分，共40分.在每小题给出的四个选项中，只33B. (2a) =6a3、4121.下列所给的四个小篆字中为轴对称图形的是C. a 丁a =a第II 卷注意事项：1 .用0.5毫米黑色墨水签字笔在答题卡上相应位置书写作答，在试题卷上作答，答 案无效.2 .作图可先用2B 铅笔画出，确定后必须用0.5毫米黑色墨水签字笔描黑.二、填空题（本题共 6小题，每小题4分，共24分）vx-^2在实数范围内有意义，则 x 的取值范围是 。
1的值是0,则实数x 的值是 ___ . x 15. 如图，已知 ^ABC ，点D , E 在边BC 上, 下列结论不一定成立的是△ ABD ACE .6. 7. 8. 9. A . AB =AC C. CA=CDB.D. BD =CEZBAE ./CAD卜列多项式中，能分解出因式m +1的是-2A . m -2 m +1 C. m 2 +m卜列代数式变形正确的是22x _y x-yB. D. B.C.D.计算C. (J 3 -x)2 + J (x -4)2的结果是 7 -2x2x-7B. D.m 2 1(m 1)22(m 1) 1-x yx-y x y22x -y(x y)2如图，4ABC, AB > AC > BC ,边AB 上存在一点 P ,使得PA + PC = AB .下列描 述正确的是B. C. P 是AC 的垂直平分线与P 是BC 的垂直平分线与 P 是/ ACB 的平分线与AB 的交点 AB 的交点 AB 的交点D. P 是以点B 为圆心，AC 长为半径的弧与边 10.若(a -c +b)2 =21 , (a +c +b)2=2019 ,则 a 2AB 的交点+ b 2 +c 2 +2ab 的值是 A. 1020 B. 1998 C. 2019D. 204011.若根式 12.若分式 13.点(3,-2）关于x 轴的对称点的坐标是如图，E 是矩形ABCD 中AD 边上一点，WAAEB 沿BE 折叠得到 △ FEB.若/BED =119,则/CBF 是 度.若3x +y +3 =0 ,则8x .2y的结果是 . 如图，D 是等边三角形 ABC 中BA 延长线上一点，连接CD , E 是 BC 上一点，且 DE =DC ,若 BD +BE =6“，CE =2* ,则这 个等边三角形的边长是 . 解答题（本题共 9小题，共86分.解答应写出文字说明、证明过程或演算步骤）17 .（本小题满分8分）分解因式：（1） x 2y —9y ； （2） -m 2 +4m —4 .18 .（本小题满分8分）计算：（」_+二_片雪土3.m 3 m -3 m 2-919 .（本小题满分8分）先化简，再求值： （m -n ）（m +n ） +（m +n ）2-2m 2,其中 m =J 2 +1 , n =。
2018-2019学度度六年级下数学第一次抽考试卷.doc.doc
2018-2019学度度六年级下数学第一次抽考试卷注意事项：认真阅读理解，结合历年的真题，总结经验，查找不足！重在审题，多思考，多理解！无论是单选、多选还是论述题，最重要的就是看清题意。
在论述题中，问题大多具有委婉性，尤其是历年真题部分，在给考生较大发挥空间的同时也大大增加了考试难度。
考生要认真阅读题目中提供的有限材料，明确考察要点，最大限度的挖掘材料中的有效信息，建议考生答题时用笔将重点勾画出来，方便反复细读。
只有经过仔细推敲，揣摩命题老师的意图，积极联想知识点，分析答题角度，才能够将考点锁定，明确题意。
同学们，将近一个月的学习，相信你们一定积累了不少的知识，下面这些练习，请你认真完成，相信你一定能做得很好。
做完记得还要认真检查哦！【一】填空。
30分1、在0.5，－3，＋90％，12，0，－9.6 这几个数中，正数有（），负数有（），〔〕既不是正数，也不是负数。
2、＋4.05读作〔〕，负四分之三写作〔〕3、在数轴上，从左往右的顺序就是数从〔〕到〔〕的顺序。
4、所有的负数都在0的〔〕边，也就是负数都比0〔〕；而正数都比0〔〕，负数都比正数〔〕。
5、一包盐上标：净重〔500±5〕克，表示这包盐最重是〔〕克，最少有〔〕克。
6、大于－3而小于2之间有〔〕个整数，他们分别是〔〕。
7、在数轴上，－2在－5的〔〕边。
8、3立方米60立方分米＝〔〕立方米3500毫升＝〔〕升⒈2升＝〔〕立方厘米 6.25平方米＝〔〕平方米〔〕平方分米9、一个圆柱底面直径是4厘米，高是10厘米，它的侧面积是〔〕，表面积是〔〕。
10、一个圆柱侧面积是12.56平方分米，高是2分米，它的体积是〔〕。
11、某班有50人，新转来2名同学，现有人数比原来增加了（）％。
12、某班男女生人数比是5：8，女生比男生人数多（）％。
13、某商品打七五折销售，说明现价比原价少（）％。
14、一件原价45元的商品，降价40％后是（）元。
15、一种商品原价80元，现在比原来降低了20％，现价（）元？16、一种商品售价80元，比过去降低了20元，降低了（）％。
2018-2019学年下学期高一第一次月考
2018-2019学年下学期高一第一次月考注意事项：1.答题前，先将自己的姓名、准考证号填写在试题卷和答题卡上，并将准考证号条形码粘贴在答题卡上的指定位置。
用2B 铅笔将答题卡上试卷类型A后的方框涂黑。
2.选择题的作答：每小题选出答案后，用2B铅笔把答题卡上对应题目的答案标号涂黑，写在试题卷、草稿纸和答题卡上的非答题区域均无效。
3.非选择题的作答：用签字笔直接答在答题卡上对应的答题区域内。
写在试题卷、草稿纸和答题卡上的非答题区域均无效。
4.考试结束后，请将本试题卷和答题卡一并上交。
第Ⅰ卷第一部分听力（共两节，满分 30 分）(略)第二部分阅读理解（共两节，满分40分）第一节（共15小题；每小题2分，满分30分）阅读下列短文，从每题所给的四个选项（A、B、C和D）中选出最佳选项，并在答题卡上将该项涂黑。
AMore than two thirds of the world’s polar bears will be wiped o ut by 2050, according to a shocking new study. By then, scientists say, global warming will have melted 42 percent of the Ar ctic sea ice. By 2100, only a very few of these important creat ures will be left.The report has been produced by the US Geological Survey. The scientists have publicized their findings in the hope of infl uencing US Interior Secretary Dirk Kempthorne, who has bee n asked to put polar bears on the US endangered species list. Polar bears depend on floating sea ice as a platform for hunti ng seals, which are their main food. Without enough ice, polar bears would be forced to go onto the land, where they are po orly skilled hunters, and would be unlikely to adapt to the life o n the land in time. Experts say few little bears would survive a nd the stress could make many females unable to get pregna nt.The team of American and Canadian scientists spent six mont hs studying bears, on the ground, from spotter planes and in t he lab，using computer models. Some team members fear the result i s even worse for the bears than what their report says. They s ay the Arctic is warming faster than anywhere in the world and much faster than their computer had been forecasting. Satel lite observations have showed that the ice has decreased to a n alltime low.However, not everyone in the scientific community believes th at global warming is happening on such an alarming scale. An other investigation has found that polar bears are still being h unted by wealthy “sportsmen” who want their skins and heads . At least ten international companies offer bearhunting trips.21. What do we know about Dirk Kempthorne according to the passage?A. He is an animal scientist.B. He is a protector of animals working for the US government .C. He was asked to put polar bears on the US endangered sp ecies list.D. He offered to put polar bears on the endangered species li st.22. Why will polar bears die out if there is not enough sea ice ?A. Because polar bears can’t catch enough food without ice.B. Because polar bears eat ice when they feel thirsty.C. Because polar bears will be easily found by hunters without ice.D. Because most female bears are used to giving birth under i ce.23. After a sixmonth study, some scientists fear that________.A. there is something wrong with their computersB. polar bears will disappear even faster than they ever expec tedC. their computer models are not as accurate as they expecte dD. global warming will destroy everything in the ArcticBOne of the most famous buildings in the United States is Carn egie Hall, the home of classical and popular music concerts in New York. Carnegie Hall is known not just for its beauty and history, but also for its amazing sound. Carnegie Hall is name d after Andrew Carnegie, who paid for its construction. Constr uction of Carnegie Hall began in 1890 and the official opening night was on May 5th, 1891.The hall was owned by the Carnegie family until 1924 when it was sold to Robert E Simon. The building became very old an d in 1960, the new owner made plans to destroy it and build a n office block. Isaac Stem led a group of people who fought tosave Carnegie Hall and finally, the city of New York bought it for $5 million. It was then fixed up between 1983 and 1995. Advertisements and stories in newspapers about how Carnegi e Hall needed help to recover its history led people to send in old concert programmes and information from all over the wor ld. Over 12,000 concert programmes were received and with t hese it was possible to make a proper record of Carnegie Hall ’s concert history.Carnegie Hall is actually made up of several different halls, bu t the Main Hall, now called the Isaac Stem Auditorium, is the most famous. The hall itself can hold an audience of 2,804 in f ive levels of seating.Because the best and most famous musicians of all time have played at Carnegie Hall, it is the dream of most musicians wh o want to be great to play there. This has led to a very old jok e which is now part of Carnegie Hall’s history. Question: “How do I get to Carnegie Hall?” Answer: “Practice, practice, practi ce.”24. It can be inferred that people wanted to save Carnegie Ha ll mainly because________.A. it made a lot of moneyB. it was worth visitingC. many important concerts were held in itD. it made some players become famous25. How did Carnegie Hall recover its concert history?A. Through newspaper reports.B. Through old concert programmes.C. Through old photographs.D. Through old jokes.26. Why is the Carnegie Hall joke funny?A. Because you expect the answer to be directions but not ad vice.B. Because Carnegie Hall is a place where musicians practice a lot.C. Because it is difficult to find your way to Carnegie Hall.D. Because you don’t expect the answer to repeat the same word three times.27. Which of the following would be the best title for the text?A. The history of Carnegie HallB. The best musician having played in Carnegie HallC. A joke about Carnegie HallD. The dream of most musiciansCUnlike most other holidays, the history of April Fools’ Day, so metimes called All Fools’ Day, is not totally clear. The only poi nt in time that can be agreed on as the beginning of this traditi on was 1582, in France. Before that year, the New Year was celebrated for eight days, beginning on March 25th. The celeb ration reached the highest point on April 1st. With the reform of the calendar under Charles IX，the Gregorian calendar(公历，阳历) was introduced, and New Year’s Day was moved to Janua ry 1st.However, because in those days communications were not as developed as they are today, many people did not receive th e news for several years. Some people refused to accept the new calendar and continued to celebrate the New Year on Ap ril 1st.These backward people were considered “fools” by oth er people. They were often sent on “fools” errands(徒劳无益的工作) or were made the targets of jokes.This developed, over time, into a tradition of playing a trick on someone on the first day of April. The tradition eventually spre ad to England and Scotland in the eighteenth century. It was l ater introduced to the American colonies of both the Britain an d France. April Fools’ Day thus developed into an international fun feast, so to speak, with different nationalities specializing in their own kind of humor at the expense of their friends and families.28. According to an earlier calendar, New Year’s Day in France was ________.A. March 25thB. January 1stC. April 1stD. April 3rd29. Which of the following first had the tradition of celebrating the April Fools’ Day？A. France.B. England.C. Scotland.D. America.30. What was people’s attitude towards the new calendar？A. They accepted it happily.B. They refused it immediately.C. Some recognized it.D. Some laughed at it.31. The passage mainly tells us ________.A. what the French did on April Fools’ DayB. how April Fools’ Day came into beingC. when was the new calendar introducedD. why some people were fooled in FranceDMy favourite book is The Adventure of Tom Sawyer by Mark T wain. Tom lives with his aunt Polly in a quiet street of St. Pete rsburg, Missouri. He’s a lively and clever young boy, and he fi nds himself in many exciting adventures. He runs away with h is two friends, Huck Finn and Joe, to an island in the middle of the Mississippi River for several days. With Huck he goes loo king for treasure, with Becky he gets lost in a cave. And finally , they find a box of gold.My favourite scene in the book is when everyone thinks Tom i s dead. He decides to go to his own funeral. He hides and wat ches for a time and then suddenly he appears. Everyone is as tonished to see him but they’re also pleased to see him alive. Tom is the hero of the story, but there are other important cha racters. Huck is an outsider and everyone is afraid of him. Be cky is pretty with fair hair, Joe is Tom’s best friend. And Injun Joe is the bad man of the story.The theme of the story is about children growing up. It describ es how strangers are seen in small towns of America. Finally, it talks about freedom, social rules and how people are punish ed for bad behaviour.Why do I think The Adventure of Tom Sawyer is a great book? Mark Twain wrote the story in 1876, but it’s still read and lov ed by people all over the world today. And although it’s only a story, Twain wrote it in the everyday English of the southern s tates of America in the 19th century, so it sounds very real. To day it’s thought to be one of the greatest books in American lit erature. Go on—read it! I know you’ll enjoy it, too.32. Where does Tom run away with his two friends?A. To a quiet street.B. To a small town.C. To an island.D. To a forest.33. Who is the bad man in the story?A. Huck Finn.B. Injun Joe.C. Becky.D. Polly.34. How did people feel when Tom appeared at his own funer al?A. They were surprised and happy.B. They were surprised and sad.C. They were worried and excited.D. They were frightened and happy.35. The writer writes the article to ________.A. ask us to read the bookB. tell us how popular the book is todayC. tell us when Mark Twain wrote the storyD. tell us why the story sounds very real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。
2018-2019学年高一下学期第一次月考数学试卷
凤冈二中2018-2019学年度第二学期第一次月考试卷高一数学出题人：杨邦发 审题人：徐珊注意事项：1．本试卷分为第Ⅰ、Ⅱ卷，考生务必将自己的班级、姓名、考号、座位号填写在答题卡上． 2．第Ⅰ卷共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．第Ⅰ卷(共60分)一、选择题（每题5分）1．在等差数列{}n a 中，45a =，159=a ，则14a =（ ） A ．25B ．22C ．12D ．112．在∆ABC 中，已知232222=-+ac b c a ，则角B 为（ ）A.6π B ．6π或56π C. 3π D. 3π或23π3．两数1-3与13+的等差中项是（ ） A ．32B ．3C ．2D ．14.已知等差数列{}n a 的前n 项和为n S ，若12a =，410+28a a =，则9S =（ ） A ．45 B ．90 C ．120 D ．755. 在ABC ∆中，角A ，B ，C 的对边分别为,,,c b a 若3A π=，a =1b =，则 c =（ ）A ．1B ．2C 1-D ．36.在ABC ∆中，角A ，B ，C 的对边分别为,,,c b a 若60A =︒，1b =，ABC △的，则a =（ ）A ．2B C ． D7.已知{}n a 为等差数列，1a +3a +5a =105，246a a a ++=99，以n S 表示{}n a 的前n 项和则使得n S 达到最大值的n 是（ ）A.22 B ．20 C. 18 D. 168．在△ABC 中，A B B A 22sin tan sin tan ⋅=⋅，那么△ABC 一定是（ ）A ．锐角三角形B ．直角三角形C ．等腰三角形D ．等腰三角形或直角三角形9．在ABC ∆中，角A ，B ，C 的对边分别为a ，b ，c ，已知sin A ∶sin B ∶sin 3C =∶5∶7，那么这个三角形最大角的度数是（ ） A ．135︒B ．90︒C ．120︒D ．150︒10.在锐角ABC ∆中，角,,A B C 所对的边分别为,,a b c ，若sin A =，3,ABC a S ∆==b 的值为（ ）A ．6B ．3C ．2D ．2或311.ABC ∆中，,,a b c 分别为,,A B C ∠∠∠的对边，如果,,a b c 成等差数列，30B ∠=ABC ∆的面积为23，那么b =（ ）A ．231+ B ．1＋3 C ．232+ D ．2＋312.已知数列{}n a 满足112a =12100k a a a +++<成立的最大正整数k 的值为（ ） A ．198B ．199C ．200D ．201第Ⅱ卷（共90分）二、填空题（每题5分）13．在等差数列{}n a 中，已知27,3157==a a ，则11a = .14.在ABC ∆中，若2221()4ABC S a b c ∆=+-,那么角C ∠= ．15.如图所示的三角形数组是我国古代数学家杨辉发现的，称为杨辉三角形，根据图中的数构成的规律，推测第10行的第3个数字为_______．16．已知数列{}n a 满足⎪⎩⎪⎨⎧<≤-<≤=+121,12210,21n n n n n a a a a a ，若761=a ，则2019a = ． 三、解答题17．(本小题满分10分)已知{}n a 是一个等差数列且1,27102=-=+a a a ． （1）求{}n a 的通项公式； （2）求{}n a 的前n 项和n S ．18．(本小题满分12分)已知锐角三角形ABC 的角A ，B ，C 的对边分别为a ，b ，c ，已知2sin a b A =．（1）求角B 的大小；（2）若a =，5c =，求b 的值．19．(本小题满分12分)设等差数列{}n a 的前n 项和为n S ,且4S =－62, 6S =－75．（1）}{n a 的通项公式及前n 项和n S ； （2）|1a |+|2a |+|3a |+…+|14a |.20．(本小题满分12分) 某港口O 要将一件重要物品用小艇送到一艘正在航行的轮船上，在小艇出发时，轮船位于港口的O 北偏西30︒且与该港口相距20海里的A 处，并正以30海里/小时的航行速度沿正东方向匀速行驶．假设该小艇沿直线方向以v 海里/小时的航行速度匀速行驶，经过t 小时与轮船相遇． （1）若希望相遇时小艇的航行距离最小，则小艇航行速度的大小应为多少？ （2）为保证小艇在30分钟内（含30分钟）能与轮船相遇，试确定小艇航行速度的最小值．21．(本小题满分12分)在ABC △中，角A ，B ，C 的对边分别为a ，b ，c ，已知向量(sin ,sin sin )A B C =-m ，=n (,)a b c +，且⊥m n ．（1）求角C 的值；（2）若ABC △为锐角三角形，且1c =b -的取值范围．22.(本小题满分12分)已知数列{}n a数列{}n b（1）求证：数列{}n b 是等差数列； （2）求数列{}n a 中的最大项和最小项．。