浙江省杭州市萧山区高桥初中教育集团2021-2022学年九年级12月学情调研数学试题
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4444高桥初中教育集团 2021 学年第一学期期中学情调研九级科学试题卷命题人:城南九年级科学备课组审核人:城南九年级科学备课组请同学们注意:1、试卷分试题卷和答题卷两部分。
满分 160 分,考试时间为 120 分钟。
2、所有答案都必须做在答题卷标定的位置上,务必注意试题序号和答题序号相对应。
3、考试结束后,只需上交答题卷。
4、可能用到的相对原子质量:H-1 C-12 O-16 Cl-35.5 S-32 Na-23 Ca-40Mg-24 Al-27 Zn-65 Ag-108 Fe-56 Cu-64 Ba-137 N-14祝同学们取得成功!一、选择题(每小题 3 分,共 60 分,每小题只有一个选项符合题意)1.下列实验操作正确的是(▲ )A.稀释浓硫酸B.称量固体NaOH C.氢气还原氧化铜 D 测溶液的酸碱度2.工业上可通过如下反应制取氧化钠:2NaNO3+10Na=6Na2O+N2↑,下列相关说法正确的是(▲ )A.反应物NaNO3属于氧化物 B.生成物N2的化学性质由氮气分子(N2)保持C.该反应属于复分解反应D.反应前后只有氮元素化合价发生变化3.在某溶液中先滴加HCl无现象,再滴加BaCl2溶液有白色沉淀产生,该溶液中(▲)A.可能含有SO2-C.可能含有Ag+或SO2-B.一定含有SO2-D.一定含有Ag+和SO2-4.下列图示是化学概念之间关系的形象表示,不正确的是(▲)A. B. C. D.A. AB. BC. CD. D5.下列说法正确的是(▲ )A. 硫酸铜溶液可以用来检验水的存在B. 氢氧化钠用于检验二氧化碳C.通过灼烧闻气味的方法区别涤纶和羊毛纤维D. 常温下在空气中的铁比铝容易氧化6.一定条件下,下列物质的转化均可一步实现的是(▲)A. Fe→Fe2O3→FeSO4B. Fe→FeSO4→CuSO4C. NaNO3→NaOH→Na2CO3D. Ca(OH)2→CaCO3→CaCl27.选项实验目的实验操作A检验溶液中含铵根离子取样,加入氢氧化钠,微热,闻气味B除去CO2气体中少量HCl 气体通过NaOH 溶液C2﹣检验废水中是否含有SO4滴加BaCl2溶液D鉴别溶液:NaCl、Na2CO3、HCl、KNO3将组内物质相互混合,观察现象8.碱溶液中都含有OH-,因此不同的碱表现出一些共同的性质。
高桥初中教育集团九年级12月份质量检测数学试题卷考生须知:● 本试卷分试题卷和答题卷两部分,满分120分,考试时间为90分钟. ● 答题前,必须在答题卷的密封区内填写校名、班级、姓名、学号.● 所有答案都必须写在答题卷标定的位置上,务必注意试题序号和答题序号相对应. 一、仔细选一选(本题有10小题,每题3分,共30分) 1.函数22)1(--=ax a y 是反比例函数,则a 的值是( ▲ )A .-1B .1C .±1D .3±2.二次函数2)1(2---=x y 的顶点坐标是( ▲ )A .(-1,-2)B .(-1,2)C .(1,-2)D .(1,2)3.在下列命题中:①三点确定一个圆; ②同弧或等弧所对圆周角相等; ③所有直角三角形都相似; ④所有菱形都相似; 其中正确的命题个数是( ▲ ) A .0 B .1 C .2 D .3 4.如图是一次函数b kx y +=与反比例函数xy 2=的图像,则关于x 的方程xb kx 2=+的解为( ▲ ) A .11=x ,22=x B .11-=x ,22=x C .11=x ,22-=xD .11-=x ,22-=x5.半径为2cm 的⊙O 中有长为23cm 的弦AB ,则弦AB 所对的圆周角度数为( ▲ ) A .60° B. 90° C.60°或120° D. 45°或90°6.请你运用学过的函数知识,判断下列哪一个图象可能是函数3x y =的图象( ▲ )A. B. C. D.7.观察下列每个图形及相应推出的结论,其中正确的是( ▲ )A. B. C. D.8.在平面直角坐标系中,如果抛物线y =3x 2不动,而把x 轴、y 轴分别向上、向右平移2个单位,那么在新坐标系下抛物线的解析式是 ( ) A .y =3(x + 2)2-2 B .y =3(x -2)2 + 2 C .y =3(x -2)2-2 D .y =3(x + 2)2 + 2 9.若1m <-,则下列函数:①()0my x x=>,②1y mx =-+,③2(1)y m x =+, ④()21(0)y m x x =+<中,y 随x 的增大而增大的函数有( ▲ ) A .①②③B .②③④C .①②④D .①③④10.如图所示,在△ABC 中,AB =AC ,M 、N 分别是AB 、AC 的中点,D 、E 为BC 上的点,连接DN 、EM ,若AB =5cm , BC =8cm ,DE =4cm ,则图中阴影部分的面积为( ▲ ) A .1cm 2 B .1.5cm 2 C .2cm 2 D .3cm 2二、认真填一填(本题有6个小题,每小题4分,共24分)要注意认真看清题目的条件和要填写的内容,尽量完整地填写答案. 11.若双曲线xk y 12-=的图象经过第二、四象限,则k 的取值范围是 ▲ 12.圆锥的轴截面是顶角为120°的三角形,如果它的高是3,则此圆锥的侧面积为 ▲ 13.若点P 是线段AB 的黄金分割点,且AP >BP ,AB =2,则AP = ▲ 14.如图,AD 是△ABC 的外接圆直径,AD =2,∠B =∠DAC , 则AC 的值为 ▲ .15.抛物线c x x y ++=22与坐标轴有两个交点 ,则字母c 的取满足的条件是 ▲第10题第1440第17题O5.01tmvBA16.如图,在钝角三角形ABC 中,AB =6cm ,AC =12cm ,动点D 从A 点出发到B 点止,动点E 从C 点出发到A 点止.点D 运动的速度为1cm/秒,点E 运动的速度为 2cm/秒.如果两点同时运动,那么当以点A 、D 、E 为 顶点的三角形与△ABC 相似时,运动的时间是 ▲ 秒. 三、全面答一答(本题有7小题,共66分) 17.(本题满分6分)一辆汽车匀速通过某段公路,所需时间t (h )与行驶速度 v (km/h )满足函数关系:vkt =,其图象为如图所示的一段曲 线,且端点为)1,40(A 和)5.0,(m B . (1)求k 和m 的值;(2)若行驶速度不得超过60(km/h ),则汽车通过该路段最少需要多少时间?18. (本题满分8分)已知扇形的圆心角为1200,面积为300πcm 2. (1)求扇形的弧长;(2)若把此扇形卷成一个圆锥,则这个圆锥的轴截面面积是多少?19. (本题满分8分)某隧道横断面由抛物线与矩形的三边组成,尺寸如图所示,某卡车空车时能通过此隧道,现装载一集装箱箱宽3m ,车与箱共高4.5m ,此车能否通过此隧道? 20. (本题满分10分)已知:等腰三角形OAB 在直角坐标系中的位置如图,点A 的坐 标为(33,3-),点B 的坐标为(-6,0).(1)若△OAB 关于y 轴的轴对称图形是三角形O A B '',请直接写出A 、B 的对称点A 'B '、的坐标; (2)若将△OAB 沿x 轴向右平移a 个单位,此时点A恰好落在反比例函数63y x=的图像上,求a 的值. 21. (本题满分10分)某玩具厂授权生产工艺品福娃, 每日最高产量为30只,且每日生产的产品全部出售.已知生产x 只福娃的成本为R (元),每只售价P (元),且R ,P 与x 的表达式分别为x R 350+=,x P 2170-=.当日产量为多少时,可获得最大利润? 最大利润是多少?第19题DEABC第16题第20题22. (本题满分12分)已知:AB 是⊙O 的直径,弦CD ⊥AB 于点G ,E 是直线AB 上一动点(不与点A 、B 、G 重合),直线DE 交⊙O 于点F ,直线CF 交直线AB 于点P .设⊙O 的半径为r . (1)如图1,当点E 在直径AB 上时,试证明:OE ·OP =r 2(2)当点E 在AB (或BA )的延长线上时,以如图2点E 的位置为例,请你画出符合题意的图形,标注上字母,(1)中的结论是否成立?请说明理由.23.(本题满分12分)已知直线3+=kx y (k <0)分别交x 轴、y 轴于A 、B 两点,线段OA 上有一动点P由原点O 向点A 运动,速度为每秒1个单位长度,过点P 作x 轴的垂线交直线AB 于点C ,设运动时间为t 秒.(1)当1-=k 时,线段OA 上另有一动点Q 由点A 向点O 运动,它与点P 以相同速度同时出发,当点P 到达点A 时两点同时停止运动(如图1). ① 直接写出t =1秒时C 、Q 两点的坐标;② 若以Q 、C 、A 为顶点的三角形与△AOB 相似,求t 的值. (2)当43-=k 时,设以C 为顶点的抛物线n m x y ++=2)(与直线AB 的另一交点为D (如图2),① 求CD 的长;② 设△COD 的OC 边上的高为h ,当t 为何值时,h 的值最大?高桥初中教育集团九年级12月份质量检测ABCDEF P.OG (图1) . ABCDE.O G (图2) 第22题40第17题O5.01tmvBA数学答题卷一、仔细选一选(每小题3分,共30分)题号 1 2 3 4 5 6 78 9 10 答案二、认真填一填(每小题4分,共24分) 11. 12. 13. 14. 15. 16. 三、全面答一答(本题有7小题,共66分) 17.(本小题满分6分)18.(本小题满分8分)19.(本小题满分8分)20.(本小题满分10分)题 号一二三 总 分1—1011—16 17 18 1920 21 22 23 得 分第19题21.(本小题满分10分)22.(本小题满分12分)23.(本小题满分12分)BCyDBCy九年级数学答案一二三总分题号1—10 11—16 17 18 19 20 21 22 23得分数学答题卷一、仔细选一选(每小题3分,共30分)40第17题O5.01tmvBA题号 1 2 3 4 5 6 7 8 9 10答案ACACCBCACB二、认真填一填(每小题4分,共24分) 11.k <2112. 18π313.15- 14.1 15.0或8116. 3或4.8 三、全面答一答(本题有7小题,共66分) 17.(本小题满分6分)解:(1)将)1,40(代入v k t =,得401k=,解得40=k . ……..2分函数解析式为:v t 40=.当5.0=t 时,m405.0=,解得80=m .所以,40=k ,80=m .…….4分 (2)令60=v ,得326040==t .结合函数图象可知,汽车通过该路段最少需要32小时. ……..6分 18.(本小题满分8分)(1)扇形弧长为20cm π (2)22200cm(过程略,酌情给分)19.(本小题满分8分)解:如图,以抛物线的对称轴为y 轴,以抛物线与矩形的交界处为x 轴建立平面直角坐标系,则A (-3,0),B (3,0),C (0,3),D (-3,-2),E (3,-2)-----------------------------------------------2分设抛物线的解析式为c ax y +=2.--------------------------------------1分 ∵c ax y +=2经过点A (-3,0)、C (0,3),∴抛物线的解析式为3312+-=x y .--------------1分 当5.2=y 时,253312=+-x ,(第21题)解得261=x ,262-=x .---------------------------------2分 由于3621<=-x x ,∴此车不能通过隧道. ----------------2分20.(本小题满分10分)解:(1)(33,3),(6,0)A B '' ………(每个点坐标写对各得2分)……………………4分(2) 设A 向右平移a 个单位后坐标为(x,y )…1分 ∵3y = …1分 ∴633x=…1分 ∴23x = …………………1分 ∴53a = …………………2分 21.(本小题满分10分)22.(本小题满分12分)(1)证明:连接FO 并延长交⊙O 于Q ,连接DQ . ∵FQ 是⊙O 直径,∴∠FDQ =90°. ∴∠QFD +∠Q =90°.∵CD ⊥AB ,∴∠P +∠C =90°. ∵∠Q =∠C ,∴∠QFD =∠P . ∵∠FOE =∠POF ,∴△FOE ∽△POF . ∴OE OFOF OP=.∴OE ·OP =OF 2=r 2. (2)解:(1)中的结论成立.理由:如图2,依题意画出图形,连接FO 并延长交⊙O 于M ,连接CM .∵FM 是⊙O 直径,∴∠FCM =90°,∴∠M +∠CFM =90°. ∵CD ⊥AB ,∴∠E +∠D =90°. ∵∠M =∠D ,∴∠CFM =∠E. ∵∠POF =∠FOE ,∴△POF ∽△FOE . ∴OP OFOF OE=,∴OE ·OP =OF 2=r 2.23.(本小题满分12分)(1)①C (1,2),Q (2,0). ……..2分 ②由题意得:P (t ,0),C (t ,-t+3),Q (3-t ,0), 分两种情形讨论:情形一:当△AQC ∽△AOB 时,∠AQC=∠AOB =90°,3-t =t ,∴t=1.5.情形二:当△ACQ ∽△AOB 时,∠ACQ=∠AOB =90°,t =2(-t +3),∴t=2. ∴满足条件的t 的值是1.5秒或2秒. ……6分 (2) ①由题意得:C (t ,-34t +3),∴以C 为顶点的抛物线解析式是23()34y x t t =--+,由233()3344x t t x --+=-+,解得x 1=t ,x 2=t 34-;过点D 作DE ⊥CP 于点E △DEC ∽△AOB ,∴DE CD AO BA =, CD =35154416DE BA AO ⨯⨯==. …….9分②∵CD =1516,CD 边上的高=341255⨯=.∴S △COD =11512921658⨯⨯=.∴S △COD 为定值;要使OC 边上的高h 的值最大,只要OC 最短.因为当OC ⊥AB 时OC 最短,此时OC的长为125。
高桥初中教育集团2023学年第一学期12月份学情调研一.选择题(共10小题)1.(2021秋•滨江区期末)下列两个图形一定是相似图形的是( )(改编)A .菱形B .矩形C .等腰三角形D .等腰直角三角形2.(2010•漳州)若,则=( )(改编)A .B .C .D .3.(2022秋•海淀区校级期末)假设甲是确诊感染者,乙与甲有接触,乙称为密切接触者;丙与乙有接触,且与甲没有接触,丙称为次密切接触者.经过调查,发现A ,B ,C ,D ,E ,F 的接触情况如图所示.若两人有接触,则在代表两人的两个点之间连结一条线段.已知A 是确诊感染者,则从其余五人中随机抽取一名,是次密切接触者的概率为( )(改编)A.B .C .D .4.(2015秋•杭州校级月考)要得到二次函数y =﹣(x ﹣1)2﹣2的图象,需将y =﹣x 2+1的图象( )(改编)A .向左平移1个单位,再向下平移3个单位B .向右平移1个单位,再向上平移3个单位C .向左平移1个单位,再向上平移3个单位D .向右平移1个单位,再向下平移3个单位5.(2021秋•上城区期末)“苏堤南起南屏山麓,北到栖霞岭下,全长2.8公里.苏堤上有名的六吊桥由南到北分别是映波桥、锁澜桥、望山桥、压堤桥、东浦桥、跨虹桥.压堤桥约居苏堤南北的黄金分割位,旧时又是湖船东来西去的水道通行.”从地图上看,压堤桥位于苏堤北部,请结合上述描述,估计压堤桥到栖霞岭下的大致距离为( )A .0.9公里B .1.1公里C .1.3公里D .1.4公里6.制作一块3m ×2m 长方形广告牌的成本是120元,在每平方米制作成本相同的情况下,若将此广告牌的四边都扩大为原来的3倍,那么扩大后长方形广告牌的成本是( )A .360元B .720元C .1080元D .3240元517.(2018秋•上城区期末)下列命题:①三点确定一个圆.②三角形的外心到三个顶点的距离相等.③相等的圆周角所对的弧相等.④平分弦的直径垂直于弦.⑤半径为5的圆中,有一条弦长为8,则这条弦到它所对弦的中点距离是2.其中正确的个数有是( )(改编)A.0B.1C.2D.38.(2023秋•镇海区校级期中)在Rt △ABC 中,∠C =90°,CD 是AB 边上的高,如果AD =m ,∠A =α,那么BC 的长为( )(改编)A .m •tan α•cos αB .C .m •tan α•sin αD .8.(2023•西宁)直线y 1=ax +b 和抛物线(a ,b 是常数,且a ≠0)在同一平面直角坐标系中,直线y 1=ax +b 经过点(﹣4,0).下列结论:①抛物线的对称轴是直线x =﹣2;②抛物线与x 轴一定有两个交点;③关于x 的方程ax 2+bx =ax +b 有两个根x 1=﹣4,x 2=1;④若a >0,当-4<x<1时,y 1>y 2.其中正确的结论是( )(改编)A .①②③④B .①②③C .②③D .①④10.(2015•崇安区一模)如图,AB 是半圆O 的直径,点C 是的中点,点D 是的中点,连接AC 、BD 交于点E ,则AD=1,BD=7,则CD 的长度为( )(改编)A .5B .32C.D .25二.填空题(共6小题)11.sin30°﹣cos60°=12.(2021秋•上城区期末)如图,AB 是半圆O 的直径,∠ABC =40°,则∠D = .13.(2019秋•慈溪市期末)如图,二次函数y =x 2+bx +c 过点A (﹣1,0),B (3,0),点P (m ,n )是该二次函数图象上一点.已知点P 到y 轴的距离不大于2,则n 的取值范围 .(改编)22514.(2022秋•连云港期末)在平面直角坐标系中,已知点P(m﹣1,n2)、Q(m,n2﹣1),其中m≥0,则下列函数的图象可能同时经过P、Q两点的有(改编)①y=2x+b②y=ax+2(a>0)③y=﹣x2﹣2x+c(c>0)④y=ax2+2ax+c(a>0)15.(2015秋•杨浦区期末)如图,已知△ABC沿角平分线BE所在的直线翻折,点A恰好落在边BC的中点M处,且AM=BE,那么∠EBC的正切值是 .16.(2022秋•东城区校级期末)如图,在平面直角坐标系xOy中,P为x轴正半轴上一点.已知点A(0,1),B(0,7),⊙M为△ABP的外接圆.(1)点M的纵坐标为 ;(2)当∠APB最大时,点P的坐标为 .三.解答题(共8小题)17.(2022秋•泰兴市期末)(1)如图,将“二”、“十”、“大”三个汉字随机填写在三个空格中(每空填一个汉字,每空中的汉字不重复),请你用画树状图或列表的方法求从左往右汉字顺序恰好是“二十大”的概率;(2)若在如图三个空格的右侧增加一个空格,将“祖”、“国”、“你”、“好”四个汉字任意填写其中(每空填一个汉字,每空中的汉字不重复),从左往右汉字顺序恰好是“祖国你好”的概率为 .18.(2015秋•徐汇区期末)抛物线y=x2﹣2x+c经过点(2,1).(1)求抛物线的顶点坐标;(2)将抛物线y=x2﹣2x+c沿y轴向下平移后,所得新抛物线与x轴交于A、B两点,如果AB=2,求新抛物线的表达式.19.(2021秋•温岭市期末)如图所示,在平面直角坐标系中,△ABC的三个顶点坐标分别为A(0,3),B(﹣1,0),C(3,﹣1)(每个方格的边长均为1个单位长度).(改编)(1)将△ABC绕点A逆时针旋转90°,画出旋转后得到的△AB1C1;(2)计算在旋转过程中,点C经过的路径长度(3)直接写出在旋转过程中线段BC扫过区域的面积20.(2023•浙江模拟)如图1是一个简易手机支架,由水平底板DE、侧支撑杆BD和手机托盘长AC组成,侧面示意图如图2所示.已知手机托盘长AC=10cm,侧支撑杆BD=10cm ,∠CBD=75°,∠BDE=60°,其中点A为手机托盘最高点,支撑点B是AC的中点,手机托盘AC可绕点B转动,侧支撑杆BD可绕点D转动.(1)如图2,求手机托盘最高点A离水平底板DE的高度h(精确到0.1cm).(2)如图3,当手机托盘AC绕点B逆时针旋转15°后,再将BD绕点D顺时针旋转α,使点C落在水平底板DE上,求α(精确到0.1°).(参考数据:tan26.6°≈0.5,≈1.41,≈1.73)21.(2021•西湖区校级三模)如图,在△ABC中,BA=BC.以AB为直径作⊙O分别交BC 、AC于D、F两点,点E为AC延长线上一点,连结AD、BE,若∠E=∠DAC.(1)求证∠ABE=90°;(2)求证:BC2=AF·AE;(3)若CE=CF,BD=1,求⊙O半径.(改编)22.(2021•滨江区三模)已知二次函数y=ax2﹣4ax+a﹣b(a≠0)的图象与平行于x轴的直线l交于A,B两点,其中点A的坐标为(﹣1,2).(1)求B的坐标.(2)若将直线l向上平移3个单位后与函数y的图象只有一个交点,求函数y的表达式.(3)已知P(1,p),Q(1+a,q)都在函数y的图象上,且p>q.求a的取值范围.23.(2023春•永康市月考)如图1,地面BD上两根等长立柱AB,CD之间悬挂一根近似成抛物线y=x2﹣x+3的绳子.解答下列问题:(1)两根等长立柱AB,CD的高度是 米;并求出绳子最低点离地面的距离.(2)因实际需要,在离AB为3米的位置处用一根立柱MN撑起绳子(如图2),使左边抛物线F1的最低点距MN为1米,离地面2米,求MN的长.(3)将立柱MN的长度提升为3米,通过调整MN的位置,使抛物线F2对应函数的二次项系数始终为,设MN离AB的距离为m米,抛物线F2的顶点离地面距离为k米,当2≤k≤时,求m的取值范围.24.(2021•宁波)如图1,四边形ABCD内接于⊙O,BD为直径,上存在点E,满足=,连结BE并延长交CD的延长线于点F,BE与AD交于点G.(1)如图2,连结CE,CE=BG.求证:EF=DG.(2)如图3,在(1)的条件下,连结CG,AD=2.①若tan∠ADB=,求△FGD的周长.②求CG的最小值.。
浙江省杭州市高桥初中教育集团2022-2023学年九年级上学期第二次学情调研月考数学试题一、单选题1.下列各式中,y 是x 的二次函数的为( )A .29y x =-+B .21y x =-+C .yD .()13y x =-++ 2.已知y=(m ﹣2)x |m|+2是y 关于x 的二次函数,那么m 的值为( ) A .﹣2 B .2 C .±2 D .03.已知二次函数232)1y x =-+(,当x =3时,y 的值为( )A .4B .-4C .3D .-34.二次函数y =x 2的图象平移后经过点(2,0),则下列平移方法正确的是( ) A .向左平移2个单位,向下平移2个单位B .向左平移1个单位,向上平移2个单位C .向右平移1个单位,向下平移1个单位D .向右平移2个单位,向上平移1个单位5.已知点()()121,,2,A y B y 在抛物线y =−(x +1)2+2上,则下列结论正确的是( ) A .122y y >> B .212y y >> C .122y y >> D .212y y >> 6.若二次函数2()2y x m =--,当1x …时,y 随x 的增大而减小,则m 的取值范围是( ) A .1m = B .1m > C .m ⩾1 D .1m …7.将进货价格为35元的商品按单价40元售出时,能卖出200个,已知该商品单价每上涨2元,其销售量就减少10个.设这种商品的售价为x 元时,获得的利润为y 元,则下列关系式正确的是( )A .y=(x ﹣35)(400﹣5x )B .y=(x ﹣35)(600﹣10x )C .y=(x+5)(200﹣5x )D .y=(x+5)(200﹣10x )8.烟花厂为国庆节特别设计制作一种新型礼炮,这种礼炮的升空高度h(m)与飞行时间t(s)的关系式是h=−32t 2+12t+30,若这种礼炮在点火升空到最高点引爆,则从点火升空到引爆需要的时间为( )A .3sB .4sC .5sD .6s 9.已知点(),3A a ,(),3B b ,(),5C c 都在抛物线()21y x m =-+(0m <)上点A 在点B 左侧,下列选项正确的是( ).A .若0c <,则a b c <<B .若0c <,则a c b <<C .若0c >,则a c b <<D .若0c >,则a b c <<10.已知函数21y x x =+-在1m x ≤≤上的最大值是1,最小值是54-,则m 的取值范围是( ) A .2m ≥- B .21m -≤< C .122m -≤≤- D .12m ≤-二、填空题11.若抛物线y =(a -1)x 2(a 为常数)开口向上,则a 的取值范围是.12.抛物线()215y x =--+与y 轴的交点坐标为.13.已知二次函数223y x x =--.当03x ≤≤时,则y 的取值范围.14.如图,若抛物线2y ax bx c =++上的(4,0)P ,Q 两点关于它的对称轴 1x =对称,则Q 点的坐标为 .15.若225x x y -+=,且22x -≤≤,则x y +的最小值为,最大值为.16.已知抛物线()2<0y ax bx c a =++的对称轴为2x =-,与x 轴的一个交点为()1,0,若关于x 的一元二次方程()20ax bx c p p ++=>有整数根,则p 的值有个.三、解答题17.已知二次函数243y x x =-+.(1)求出此二次函数图象的顶点坐标;(2)求出y 随x 的增大而减小时,x 的取值范围.18.二次函数y =ax 2+bx +c (a ,b ,c 是常数,且a ≠0)的自变量x 与函数值y 的部分对应值如表:(1)直接写出n 的值,并求该二次函数的解析式; (2)点Q (m ,4)能否在该函数图象上?若能,请求出m 的值,若不能,请说明理由. 19.已知抛物线2y x bx c =++的图象如图所示,它与x 轴的一个交点的坐标为()1,0A -,与y 轴的交点坐标为C 0,−3 .(1)求抛物线的解析式及与x 轴的另一个交点B 的坐标;(2)根据图象回答:当x 取何值时,与0y <?(3)在该抛物线的对称轴上有一动点P ,连接PA 和PC .试问:是否存在PA PC +的最小值?如有,求出点P 的坐标.20.如图,把一边长为40cm 的正方形硬纸板的四角各剪去一个同样大小的正方形,将剩余部分折成一个无盖的盒子.(1)要使折成的盒子底面积为2484cm ,那么剪掉的正方形边长为多少?(2)折成的长方形盒子的侧面积是否有最大值?如果有,求出这个最大值和此时剪掉的正方形边长;如果没有,说明理由.21.某校足球队在一次训练中,一球员从高2.4米的球门正前方m 米处将球射向球门,球射向球门的路线呈抛物线.当球飞行的水平距离为6米时,球达到最高点,此时球离地面3米.建立如图所示的平面直角坐标系.(1)求出抛物线的函数解析式;(2)当10m =时,试判断足球能否射入球门,并说明理由;(3)球员射门时,若满足21t m t >>,球都越过球门,求1t 的最小值及2t 的最大值.22.已知二次函数()2221y x m x m m =--+-(m 是常数,且0m ≠).(1)证明:不论m 取何值,该二次函数图象总与x 轴有两个交点;(2)若()232A n n -+,,()212B n n -++,是该二次函数图象上的两个不同点,求二次函数表达式和n 的值;(3)若点()11C y -,,点()2D m y ,也均在此函数图象上,且满足12y y <,求m 的取值范围.23.已知抛物线()2230y mx mx m m =+-≠与x 轴交于A ,B 两点(其中A 在B 的左侧),与y轴交于点C .有一直线y x n =+过A ,C 两点.(1)求抛物线和直线AC 的表达式;(2)点C 关于x 轴的对称点为D ,若过点D 的直线y kx b =+与抛物线在x 轴上方(不含x 轴上的点)的部分无公共点,结合函数图象,求k 的取值范围.。
高桥初中教育集团2021学年第二学期第二次质量检测九年级语文试题卷一、基础知识及运用(30分)1.找出给加点字注音中正确的一项(3分)那一个个日子,都会在微露的晨曦中悄.然而至,在绽.放的晚霞里飘然归去。
我们在希望的早晨里遨游书海,我们在躁动的青春中释放激情。
闻着文字间流淌着的水墨香,我们将穿越六月深邃.的天空,去倾.听灵魂深处的声音。
A.qiāo diàn shuì qīnB.qiǎo diàn suì qīngc.qiāo zhàn shuì qīn D.qiǎo zhàn suì qīng2.下列各句中,没有错别字的一项是(3分)A.不久,第一阵鹤群映入眼帘,南侧蜿蜒群山的苍穹深处,浮现出一排黑芝麻粒般的小斑点,清晰可辩。
B.上课铃声过后,他才慌慌张张地冲进教室,“报告”声刚落,同学们轰堂大笑,原来他衣服的纽扣错位了。
C.毋庸讳言,得过且过、敷衍塞责的教师确实存在,但像“最美女教师”张丽莉那样爱生如子、恪尽职守的人,才是教师队伍中的主流。
D.王军填写从小学开始酷爱写诗,到目前为止,他已经写了200多首诗歌,同学亲切地称赞他为“小诗人”,用这个雅号叫他真是恰如其份了。
3.下列句子中加点的词语使用恰当的一项是(3分)A. 新年联欢晚会上,同学们载歌载舞,大家都沉湎..在欢快、热烈的气氛中。
C.许多网友转载了《用微波炉烹调食物会致癌》的文章,专家指出,这种骇人听闻....的传言没有科学依据,微波炉加热与常规加热对食物的影响基本相同。
D.初中生活快结束了,同学们面临分别,恋恋不舍,大家希望能萍水相逢....在新的校园里。
4.下列句子中没有语病的一句是(3分)A.纪录片《舌尖上的中国》不仅引发了人们对“文化认同”和“软实力输出”的思考,而且让人怀念童年时的美味。
B. 在与阿汤哥的对话中,马云表示自己被认为是长得最丑最奇特的人,这就是为什么我每次看见帅哥总是很嫉妒,但我从来没有嫉妒过他,他实在是太棒了,成功地扮演了这么多部精彩的电影。
2020--2021学年杭州市萧山区高桥教育集团12月月考九年级数学试题卷请同学们注意:考试时间2020.12.151.本试卷满分120 分,考试时间100分钟.2.必须在答题纸的对应答题位置上答题,写在其他地方无效.答题方式详见答题纸上的说明.3.考试结束后,只上交答题卷.一、选择题:(本大题有10个小题,每小题3分,共30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.抛物线y=1﹣3x2的顶点是()A.(1,﹣3)B.(﹣3,1)C.(1,0)D.(0,1)2.把抛物线y=3x2﹣3向左移动3个单位得到抛物线表达式为()A.y=3(x+3)2﹣3 B.y=3(x﹣3)2﹣3C.y=3x2 D.y=3x2﹣63.若半径为5cm的一段弧长等于半径为2cm的圆的周长,则这段弧所对的圆心角为()A.144°B.132°C.126°D.108°4.如图,在Rt△ABC中,∠ACB=90°,∠A=30°,CD⊥AB于点D.则△BCD与△ABC的周长之比为()A.1:2 B.1:3 C.1:4 D.1:5第4 题图第5 题图5.如图,在△ABC中,D,E,F分别为BC,AB,AC上的点,且EF∥BC,FD∥AB,则下列各式正确的是()A.AEEB=CDBDB.EFBC=AEDFC.EFBC=DFABD.AEAB=BDBC6.由于被墨水污染,一道数学题C.当x≥2时,y随x 的增大而增大D.点(a,b)在直线y=-4x上7.如图,将边长为6 的正六边形铁丝框ABCDEF (面积记为S 1)变形为以点D 为圆心,CD 为半径的扇形(面积记为S 2),则S 1与S 2的关系为()A .S 1=3S 2 B .S 1<S 2 C .S 1=S 2D .S 1>S 2第7 题图第9 题图第10题图8.已知点A (﹣3,m ),B (3,m ),C (﹣1,m +n 2+1)在同一个函数的图象上,这个函数可能是()A .y =x +2B .y =﹣2xC .y =x 2+2D .y =﹣x 2﹣29.如图,⊙O 的半径为10,将长为16的线段PQ 的两端放在圆周上同时滑动,如果点P 从点A 出发按逆时针方向滑动一周回到点A ,在这个过程中,线段PQ 扫过区域的面积为( ) A .36π B .64π C .100π D .256π10. 如图,已知,M ,N 分别为锐角∠AOB 的边OA ,OB 上的点,ON =6,把△OMN 沿MN 折叠,点O 落在点C 处,MC 与OB 交于点P ,若MN =MP =5,则PN =()A .2B .103C .83D .3 二、填空题:(本大题共6小题,每题4分,共24分)11.创“平安萧山”是我们每个萧山人的愿望,某小区在摸彩球活动中,将质地大小完全相同,上面 标有“平”“安”“萧”“山”的四个彩球放入同一个袋子,某居民在袋子中随机摸出一个彩球后 不放回,再摸出一个,摸出的两个彩球能拼成“萧山”的概率是. 12.如图,一块含30°直角三角板ABC (∠BAC=30°)的斜边AB 与量角器的直径重合,点D 对应54°,则∠BCD 的度数为度第12 题图第13 题图13.如图,由8个大小相等的小正方形构成“L ”型图案,它的四个顶点E ,F ,G ,H 分别在矩形的 边AB ,BC ,CD ,DA 上,若AB =10,BC =15,则DH 的长是.14.已知,当﹣1≤x ≤2时,二次函数y =m (x ﹣1)2﹣5m +1(m ≠0,m 为常数)有最小值6,则m的值为.15.如图AB 是半圆直径,半径OC ⊥AB 于点O ,AD 平分∠CAB 分别交OC 于点E ,交弧BC 于点D , 连结CD 、OD ,给出以下5个结论:①OD ∥AC ; ②AC =2CD ; ③2CD 2=CE •AB ; ④S △AEC =2S △DEO ;⑤线段OD 是DE 与DA 的比例中项.其中正确结论的序号有 .16.在平面直角坐标系中,已知点A (,0),B ( ,0),C 是y 轴上一动点.当∠BCA = 30°时,点C 的坐标为 .三、解答题:(本大题有7个小题,共66分).解答应写出文字说明、证明过程或推演步骤. 17.(本小题6分)一个不透明袋子中有1 个红球,1个绿球和n 个白球,这些球除颜色外无其他差 别, (1)从袋中随机摸出一个球,记录其颜色,然后放回,搅匀,大量重复该实验,发现摸到绿球 的频率稳定于0.2,求n 的值. (2)若n =2,小明两次摸球(摸出一球后,不放回,再摸出一球),请用树状图画出小明摸球的 所有结果,并求出两次摸出不同颜色球的概率.18.(本小题8分)如图,二次函数y =ax 2+bx +c 过点A (﹣1,0),B (3,0)和点C (4,5). (1)求该二次函数的表达式及最小值.(2)点P (m ,n )是该二次函数图象上一点.已知点P 到y 轴的距离不大于2,请根据图象直接 写出n 的取值范围.19.(本小题8分)如图,在△ABC中,∠ACB=90°,AC=BC,M是边AC 的中点,CH⊥BM于H.(1)求证:CM2=HM•BM;(2)连结AH,求∠AHM的度数.20.(本小题10分)自2019年3月开始,我国生猪、猪肉价格持续上涨,某大型菜场在销售过程中发现,从2019年10月1 日起到11月9日的40天内,猪肉的每千克售价与上市时间的关系用图1 的一条折线表示:猪肉的进价与上市时间的关系用图2的一段抛物线y=a(x﹣30)2+100表示.(1)a=;(2)求图1表示的售价p与时间x的函数关系式;(3)问从10月1 日起到11月9 日的40天内第几天每千克猪肉利润最低,最低利润为多少?21.(本小题10分)如图,在△ABC中,AB=AC,⊙O是△ABC的外接圆,D为弧AC的中点,E是BA延长线上一点,∠DAE=105°.(1)求∠CAD的度数;(2)若⊙O的半径为3,求弧BC 的长.22.(本小题12分)已知抛物线y=(x﹣m)2﹣(x﹣m),其中m是常数.(1)求证:不论m为何值,该抛物线与x轴一定有两个公共点;(2)该抛物线沿y 轴向上平移多少个单位长度后,得到的抛物线与x 轴只有一个公共点?(3)若抛物线经过点(p,q)和(p+5,q)两点,求出q 的值.23.(本小题12分)问题提出:如图 1,在等边△ABC 中,AB =9,⊙C 半径为 3,P 为圆上一动点,连结 AP ,BP ,求 AP +13BP 的最小值(1)尝试解决:为了解决这个问题,下面给出一种解题思路,通过构造一对相似三角形,将13BP 转化为某一条线段长,具体方法如下:(请把下面的过程填写完整)如图2,连结CP ,在CB 上取点D ,使CD =1,则有=CD CP CP CB 13,易得△ ∽△∴=PD BP 13,∴PD =13BP ,∴AP +13BP =AP +PD ∴当A ,P ,D 三点共线时,AP +PD 取到最小值 请你完成余下的思考,并直接写出答案:AP +13BP 的最小值为 .(2)自主探索:如图3,矩形ABCD 中,BC =6,AB =8,P 为矩形内部一点,且PB =4,则12AP +PC 的最小值 为.(请在图3中添加相应的辅助线)(3)拓展延伸:如图4,在扇形COD 中,O 为圆心,∠COD =120°,OC =4.OA =2,OB =3, 点P 是弧CD 上一点,求2P A +PB 的最小值,画出示意图并写出求解过程.。
【最新】浙江省杭州市萧山区南片九年级12月质量检测科学试卷学校:___________姓名:___________班级:___________考号:___________一、选择题1.如图所示的实验操作或装置正确的是()A.倾倒液体B.氢气还原氧化铜C.加热液体D.稀释浓硫酸2.如图是比较花生仁、大米、牛肉干三种食物所含能量多少的活动示意图。
对于该活动,下列说法错误..的是()A.实验前所取的三种食物的质量要相等B.实验中如果不注意挡风,会使每次测量结果偏小C.实验是通过水温变化对三种食物所含的能量多少作出比较D.实验中水吸收的热量等于这些食物实际所含的能量3.我们的衣食住行中都蕴含着丰富的化学知识,下列说法中正确的是()A.衣料中的蚕丝和涤纶都属于合成有机高分子材料B.加碘食盐和铁强化酱油都可以补充人体必需的微量元素C.建筑高楼大厦时用到的钢是纯净物D.用液化石油气代替汽油作汽车燃料,不会造成空气污染4.黑火药是由硫磺、硝石(主要成分是硝酸钾)和木炭等成分组成的,其爆炸原理可表示为:S+2KNO3+3C 点燃K2S +N2↑+3X↑,则下列说法正确的是()A.硝酸钾是一种复合肥料B.氮气和木炭都是由原子直接构成的物质C.该反应属于置换反应D.反应生成的“X”能使湿润的红色石蕊试纸变蓝5.关于能量及其转化的说法中,正确的是()A.原子弹和核电站都是利用轻核聚变的原理制成的B.洒水车在水平路面上匀速行驶洒水,其动能保持不变C.一个物体吸收了热量,其内能会增大,但温度可以不变D.“永动机”无法实现,是因为它违背了能量转化的方向性6.下列离子能在pH = 2的无色溶液中大量共存的是()A.SO42-、Fe3+、Na+、Cl-B.K+、SO42-、Ba2+、NO3-C.Cl-、K+、SO42-、Na+D.K+、Cl-、CO32-、Na+7.如图所示,甲,乙是两个演示实验的示意图,丙,丁是四冲程汽油机工作过程中的两个冲程示意图(图中方向为顺时针)。
2021年浙江省杭州市萧山区高桥初中教育集团中考化学质检试卷一、单选题(本大题共6小题,共18.0分)1. 分析下列实验操作正确的是( ) A. 稀释浓硫酸 B. 称量氢氧化钠固体 C. 测定溶液的pH D. a 处进气收集H 22. 二氧化碳和氢气可在一定条件下反应,生成一种重要的化工原料甲醇:CO 2+3H 2− 钌−膦鉻合物 加压CH 3OH +H 2O.下列有关该反应的说法正确的是( )A. 为CO 2的利用创造了一种新途径B. 钌−膦铬合物的质量在反应前后发生了变化C. 氢原子数在反应前后发生了改变D. 属于复分解反应3. 下列各项实验,能达到实验目的的是( )A. 用加入适量氯化钡溶液、再过滤的方法,除去硝酸钠溶液中的硫酸钠B. 用加足量水溶解、过滤、蒸发结晶的方法,除去 MnO 2固体中的KClC. 用过量盐酸溶液,验证暴露在空气中的氢氧化钠粉末是否变质D. 用含有稀硝酸的硝酸银溶液,鉴别硫酸钠溶液与氯化钠溶液4.在室温下,小乐完成了如下实验,若固体A(不含结晶水)溶于水既不吸热,也不放热,且实验过程中,不考虑水的蒸发。
则下列说法正确的是()A. 在室温下,溶液①为饱和溶液B. 在t℃时,A的溶解度一定为50克C. 溶液②和溶液④的溶质质量分数相同D. 溶液③和溶液④的溶液质量相同5.下列实验方案中,实验操作合理的是()选项实验目的实验操作A验证二氧化碳能与水反应生成碳酸向收集满二氧化碳的集气瓶中加入约13体积的滴有酚酞的水,振荡B检验氢氧化钠溶液已部分变质取少量溶液,滴加足量的氯化钡溶液,过滤,向滤液中滴加酚酞溶液C探究稀硫酸与氢氧化钠溶液是否完全反应向反应后所得的溶液中滴加硝酸银溶液D除去CO2中的SO2气体和水蒸气将混合气体依次通过NaOH溶液和浓硫酸A. AB. BC. CD. D6.下列图象中相关量的变化趋势与对应的实验过程不相符的是()A. 向一定量的氢氧化钠溶液中加入稀盐酸B. 加热一定质量的高锰酸钾固体C. 将等质量的铁和锌加入到足量的稀硫酸中D. 向一定量的稀盐酸中加入大理石二、填空题(本大题共1小题,共4.0分)7.有水(H2O)、双氧水(H2O2)、重水(D2O,“D”表示原子核中有一个质子和一个中子的氢原子)三种物质,从物质组成的角度看,这三种物质所含的元素共有______种,从化学性质的角度看,______与水的化学性质有较大的差异.三、简答题(本大题共1小题,共4.0分)8.一定质量的铁粉和铜粉的混合物,将其分为两等份,一份与足量的稀硫酸充分反应,产生氢气0.2g;另一份与足量的硫酸铜充分反应,经过滤、烘干,得固体10.8g。
浙江省杭州市萧山区高桥初中教育集团2021-2022学年九年级上学期期中语文试题试卷副标题注意事项: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、选择题 1.下列关于名著的表述有误的一项是( )A .《艾青诗选》中长诗《向太阳》《火把》,借歌颂太阳、索求火把,表达了驱逐黑暗、坚持斗争、争取胜利的美好愿望,诗人也因此被称为“太阳与火把”的歌手。
B .艾青的诗歌从风格上看:解放前,以深沉、激越、奔放的笔触诅咒黑暗,讴歌光明;解放后,又一如既往地歌颂人民,礼赞光明,思考人生。
C .艾青的成名作《大堰河——我的保姆》,就是一个农民的儿子献给他的真正母亲——中国大地上善良而不幸的普通农妇的颂歌。
D .“然后我死了,连羽毛也腐烂在土地里面。
”这两句诗形象而充分地表达了诗人对土地的眷恋,而且隐含献身之意。
第II 卷(非选择题)请点击修改第II 卷的文字说明 二、基础知识综合 青春由磨(lì)□而出彩,人生因奋斗而升华。
把梦想的种子撒在奋斗的土壤上,才能结出累.( )累硕果。
把小我(róng )□入祖国的大我、人民的大我之中,青春的风采才会璀璨夺目;与时代同步伐、与人民共命运,青春的价值才能得到升华。
从建功立业的人生际遇到志存高远的时代使命,从日常生活的尽职尽责到关键时刻的迎难而上,常怀忧国忧民之心,饱含爱国爱民之情,把自己的理想同祖国的前途、把自己的人生同民族的命运紧密联系在一起,青年就能以青春之我、奋斗之我,为民族复兴铺路架桥,为祖国建设_________。
2.给加点字注音或根据拼音写汉字。
磨(lì)( ) 累.( )累 (róng )( )入 3.填入上文横线处的词语恰当的一项是( ) A .贡献力量 B .建言献策C .添砖加瓦三、语言表达 4.材料一:2018 年上半年,“芯片”一词因中兴事件而成为网上热词,向来不关注芯片的人们突然发现,原来芯片这类底层技术是如此的依赖进口!这一事实引发了人们的深思,暴露出中国在核心技术包括芯片等方面仍受制于人的现状,也让国内企业深刻认识到只有掌握核心技术,企业才能拥有蓬勃且持久的生命力。
浙江省杭州市高桥初中教育集团2024-2025学年九年级上学期期中素养调研英语试题一、阅读理解SeeYou atHarry’sBecomingNaomi LeonWalk TwoMoonsThe following books might make you cry, but they will also make you feel really grateful for the good things in your life.1.What do the three books above have in common?A.Each will make you laugh a lot.B.They tell readers the same story.C.They are all about young boys.D.You will feel thankful for the good things. 2.Why does Fern in See You at Harry’s feel invisible?A.Because nobody in the family cares about her.B.Because she has a special ability to hide herself.C.Because she is always crying and asking for help.D.Because her three-year-old brother always troubles her.3.What is Walk Two Moons mainly about?A.An accident that happens to a poor family.B.An unforgettable holiday in Oaxaca, Mexico.C.How a thirteen-year-old girl finds her mother.D.How Naomi leaves home to look for her missing father.Hannay was nervous. His enemies were searching for him. All around him were grassy hills without trees. He had nowhere to hide. How could he escape?Hannay walked along the country road for a long time. Then he saw a road worker, who was working alone, fixing the road. Hannay could see the road worker was not feeling well. Hannay came up to him and said, “How are you?” “My head hurts,” the road worker said. “I can’t do it. I want to go home. My daughter got married yesterday, and I drank a lot of wine with my friends. That’s the problem!” Hannay agreed that he should be home in bed. “Yes, and I would have been,” he replied. “But yesterday I received a message saying that the new surveyor was coming to check my work. If he comes and finds me away, I’ll be in trouble.” Suddenly, Hannay had a bright idea—he could act as the road worker and get away from his enemies. “You go off to bed,” Hannay said. “I’ll do your job until the new surveyor comes.” The road worker was pleased with his idea. He gave Hannay his hat and his old coat. Then he went home to sleep and perhaps to drink a bit more. Hannay put on the road worker’s hat and coat and began to fix the road.About an hour later, he heard a voice. “Are you the road worker?” it asked. It was the new surveyor. He was a young man with a clean face. He sat in a small car. Hannay said yes. The surveyor told him about some work he wanted him to do before he came by again and drove off. Hannay continued with his work. Then a village boy came by. “What has happened to the road worker?” he asked. “He stayed at home today,” Hannay replied. “He’s sick.”At about midday, a large car came down the hill and stopped near Hannay. Three men got out of the car. Hannay’s heart beat fast. He knew his enemies were coming.4.What is this passage probably taken from?A.A history book.B.A travel book.C.A novel.D.A science book. 5.Who did not come while Hannay was working on the road?A.The new surveyor.B.The road worker’s daughter.C.Hannay’s enemies.D.A village boy.6.What can we infer (推断) from the story?A.Hannay helped the road worker because he was warm-hearted.B.The grassy hills were a perfect hiding place for Hannay.C.The new surveyor had a lot of working experience.D.The village boy knew the road worker.7.What is the correct order of the story?①Hannay met a sick road worker and offered to take over from him.①Hannay was worried because his enemies were looking for him.①A car stopped near Hannay and three men got out.①Hannay acted as the road worker when the new surveyor came by.① The village boy wondered what had happened to the road worker.A.①→①→①→①→①B.①→①→①→①→①C.①→①→①→①→①D.①→①→①→①→①The traditional Chinese lunar calendar divides the year into 24 solar terms. They mark the changing seasons and agricultural cycle. Among the 24 solar terms, Xiaoman, the eighth solar term, falls around May 20th each year.The name “Xiaoman” means “little full” in Chinese, showing the fact that the foods in the field are beginning to be full, but they are not yet ripe. It’s a time when farmers can watch their fields turn golden under the warm spring sun. They hope to have a good harvest soon in autumn.During Xiaoman, the weather gradually changes from spring to summer. The days become longer and hotter, and the rainfall increases, providing the necessary water for food growth. This period is important for farmers, as it can influence the quality of their harvest.A special custom related with Xiaoman is silkworm raising. Silkworm raising is an important way to make a living for people who live in the south of the Yangtze River, especially in Jiangsu and Zhejiang provinces. The ancient Chinese believed that Xiaoman was the birthday of the god of the silkworm. Silkworms need to be taken good care of at this time of the year with the fresh mulberry (桑葚) leaves. It’s also regarded as the best time to cook cocoons (茧) and produce silk. Famous Chinese poets such as Li Bai and Du Fu from the Tang Dynasty, and Su Shi from theSong Dynasty all wrote poems that described the silkworm raising activities at that time.Today, it’s popular for Chinese children to raise white silkworms in a paper box, covered with fresh green mulberry leaves. For them, raising silkworms is not a way to make a living, but to see the magic of nature. It’s exciting to carefully watch the silkworms grow bigger and bigger, and finally become white cocoons.8.What does the underlined word “ripe “in Paragraph 2 mean?A.Completely broken.B.Slowly changed.C.Fully grown.D.Nearly endangered.9.Why does the writer mention the poems in Paragraph 4?A.To tell us there are a lot of famous poems in Tang Dynasty and Song Dynasty.B.To stress the silkworms need to be carefully taken care of.C.To show silkworm raising is popular during Xiaoman in history.D.To explain the poets are good at writing different kinds of poems.10.What does “them” in the last paragraph refer to?A.leaves B.Chinese children C.silkworms D.solar terms 11.What can we learn from the passage?A.The temperature drops day by day during Xiaoman.B.Xiaoman is the 4th solar term in a year.C.Farmers can have a good harvest during Xiaoman.D.Xiaoman is a good time for the foods in the field to grow.Does life sometimes seem to be full of impossible problems? How many times, for example, do you find yourself saying things like “I really don’t understand this math problem” or “I can’t get into the school team”? Well, maybe it’s time to introduce yourself to the power of “yet”. By adding this simple word, you can change everything. “I really don’t understand this math problem yet.” “I can’t get into the school team yet.” Suddenly, the impossible becomes possible. You can imagine those things happening.I read about a school that has changed the way it marks its students’ exams. The school found out that the old pass/fail system wasn’t helping with students motivation (积极性). If you passed, then great, but those students who didn’t pass often felt like failures. So now students whodon’t pass the exams will not see a big red “F” on their papers; they see a “Not yet” instead. That way the students feel that they are on a journey. They haven’t reached the end, but they know that they are going the right way.This kind of thinking is part of what experts call “having a growth mindset”. People with a growth mindset don’t concentrate on failure. They aren’t worried by not getting things right the first time and are happy to keep trying until they do. They enjoy the challenge and believe they can change. In contrast, people who just focus on the failure have what the experts call “a fixed mindset”. These people are always worried about failure and are happy to give up when things don’t go right. They don’t think that they are able to change. Clearly, it is better to have a growth mindset than a fixed mindset.But don’t worry if you think that you have a fixed mindset. You can train yourself to develop a growth mindset. Remember that it all starts with questioning the things you believe about yourself. Stop believing that you can’t or haven’t and realize that you just can’t or haven’t yet. Once you start doing this, you’ll wonder why you didn’t do it before. It’s one small but very powerful word.12.When should we use the simple word “yet”?A.When we have trouble.B.When we win an important game.C.When we meet our old friends.D.When we study in a foreign country. 13.The example in Paragraph 2 is to ________.A.express a feeling B.describe a problem C.show the resultD.support the topic14.According to the passage, which one of the following has “a growth mindset”?A.Jack got an “A” in the exam. He was quite happy to tell his parents.B.David failed in a competition, but he stays confident and keeps trying.C.Jenny found it hard to work out the math problem, so she gave it up.D.Emma was refused by the school team. She didn’t want to have another try.15.Which of the following can be the best title for the passage?A.The power of “yet”B.Two different mindsetsC.Nothing is impossible D.On the way to success二、任务型阅读阅读以下材料,从方框中所给的A—E五个选项中选出符合各部分信息的问句(其中一项是多余选项),将其序号填入第1—4小题,并回答第5小题。
2022-2023学年浙江省杭州市萧山区高桥中学初中教育集团九年级(上)第二次学情调研语文试卷一、积累。
(22分)1.(6分)学习了诗歌单元后,班级举办了“我与诗歌亲密接触”的主题活动,请你参与完成下列任务。
【诗歌•生活】阅读下面文字,按要求答题。
时代孕育诗歌,诗歌反映时代生活。
《沁园春•雪》中描写北国壮丽雪景,纵横千万里,展示了妖娆多(jiāo)的意境,抒发词人对祖国壮丽山河的热爱;《你是人间的四月天》书写细腻柔丽的情愫,表现出轻盈(pīng)婷之美;《我看》在春景中回首往事,想到人的生命中的欢乐也好,忧戚.也罢,对于生机勃勃的自然来说,一切都是枉然。
无论是博大、深沉的情感,还是幽远、隽.永的哲思,无论是对自然、社会的赞颂,还是对理想的追求、对信念的坚守,都可以用诗歌的形式。
(1)根据拼音写汉字。
①妖娆多(jiāo)②轻盈(pīng)婷(2)给加点字选择正确的读音。
忧戚.(A.qī B.qì)隽.永(A.jùn B.jùan )(3)语段划线句子的结构不合理,请修改。
2.(3分)【诗歌•诗人】下列关于诗歌和诗人的表述,有误的一项是()A.《我爱这土地》创作于1938年,以“鸟”的形象代之以诗人的自身形象,直抒胸臆,衬托出了诗人那颗真挚、炽热的爱国之心,这是诗人第一次用“艾青”的笔名发表的诗作。
B.《你是人间的四月天——一句爱的赞颂》的作者林徽因,中国著名的建筑学家、文学家。
C.《沁园春•雪》的作者毛泽东,作为革命领袖,表达了对于创造空前历史业绩的信念和对无产阶级革命事业必胜的信心。
D.《月夜忆舍弟》中的“舍弟”是杜甫自己的弟弟,当时正值安史之乱,兄弟离散,人各东西。
3.(7分)【诗歌•意象】抓意象读诗歌。
根据语境,填写空缺的内容。
意象就是包含诗人独特情感的客观物象。
同样是山,毛泽东借高山、高原写出内心的豪迈之情:“山舞银蛇,(1)”(《《沁园春•雪》》);韩愈借高山却道尽了英雄末路的悲慨:“(2)?雪拥蓝关马不前”(《左迁蓝关示侄孙湘》);同样是月,杜甫在白露时节,借月思亲:“(3),(4)”(《月夜忆舍弟》);温庭筠却是借月写出了早行之苦:“(5),人迹板桥霜”(《商山早行》);同样是写秋,“边秋一雁声”,杜甫借孤雁写出凄切之境,刘长卿在秋日的斜阳下,走访贾谊旧居,看到了“(6),(7)”,发出感慨。
杭州市高桥初中教育集团2021 -2021学年第|一学期期中质量检测九年级||英语试卷请同学们注意:1、考试卷分试题卷和答题卷两局部,试题卷总分值为120分,考试时间为100分钟 .2、所有答案都必须做在答题卷标定的位置上,务必注意试题序号与答题序号对应 .4、考试结束后,只需上交答题卷 .祝同学们取得成功!听力局部(25分)I. 听短对话,答复以下问题(共5小题,计5分)听下面5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||正确选项 ,并标在试题的相应位置 .听完每段对话后 ,你都有10秒钟的时间来答复有关小题和阅读下一小题.每段对话仅读一遍.1. When did the woman ,s class visit the farm?A. Last Wednesday.B. Last Thursday.C. Last Friday.2. Where did Julia work after she left school?A. In AustraliaB. In EnglandC. In Japan.3. What does the man want to do?A. He wants to know the time.B. He wants to buy a backpack.C. He wants to take a seat.4. What is Kate like now?A. ShyB. OutgoingC. Quiet5. Who might take a boat trip?A. Nancy and MikeB. Nancy and her parentsC. Mike and his other two friends.II. 听较长对话,答复以下问题(共6小题,计12分)听下面一段对话,答复第6至||第8三个小题.现在,你有15秒钟的时间阅读这三个小题.6. What is Bob going to do at the post office?A. Send a letter to his sister.B. Send some books to his sister.C. Get a package from his sister.7. Which month is it probably now?A. MarchB. AprilC. June8. What is Bob ,s sister ,s plan for the summer vacation?A. To teach some kids English.B. To come back to New York.C. To travel around China.听下面一段对话,答复第9至||第11三个小题.现在,你有15秒钟的时间阅读这三个小题.9. When does the man get there to buy tickets?A. At 12.30B. At 1:30C. At 2:3010. When will Kung Fu Panda start in the evening?A. At 8:05B. At 8:15C. At 8:5011. How much does the man pay for the tickets?A. 70 dollarsB. 60 dollarsC. 50 dollarsIII. 听独白,答复以下问题(共4小题,计8分)听下面一段独白,并按独白的要求在试卷上完成任务,你可以边听边完成任务.然后你会看到4个问题和相关的选项.请从每个问题A、B、C三个选项中选出最||正确选项.听独白前,你有20秒钟的时间阅读有关材料和4个小题.听完独白后,你有20秒钟的时间来选择有关选项.独白连续读两遍.12. If we climb mountains, the weather will be ______.A. warmer and warmerB. hotter and hotterC. cooler and cooler13. In this experience, what can we use to take the place of the earth?A. a boxB. a ballC. a light bulb (电灯泡)14. How is the light shining at the bottom of the ball when we shine the light onto the middle of the ball?A. The bottom is bright.B. The bottom is hotC. The bottom is dark15. Which sentence is true?A. Places near the coast are wetter than islands.B. Places near the coast are drier than islands.C. Places near the coast are hotter than islands.笔试局部(95分)IV. 单项填空(共15小题,计15分)从A、B、C、D四个选项中,选出可以填入空白处的最||正确答案.16. Which of the following phonetic transcription(音标) is right for the underlined part in the word"studied〞A. /d/B. /id/C. /t/D. /it/17. I lost my way ______ a rainy night and my mother was quite worried ______ me.A. on; aboutB. on; withC. at; withD. at; about18. - When did you buy this computer? It looks so new.- I ______ it for only a couple of days.A. bought.B. have boughtC. hadD. have had19. - How was your last weekend, Jim?- Great! I went to Red Star Farm and saw lots of ______ there.A. cowB. sheepC. pigD. horse20. - Come on, let ,s ______!- I just want to take it easy. My feet are killing me.A. studyB. chatC. danceD. listen21. There is _______ news about this movie star in the newspaper. Where can I get some?A. manyB. a fewC. a lotD. little22. - It ,s the museum! So you _____ know smoking is not allowed here.- Oh, sorry.A. mustB. willC. canD. may23. She is too young _______ up that mountain by herself.A. walkingB. to walkC. walkD. walked24. -Do you know ______ that bicycle belongs to? -Oh, it ,s Jack ,sA. whoB. whoseC. whatD. which25. I have to well prepare for the math test tomorrow because it ______ 30% of the final exam.A. sets upB. puts upC. uses upD. makes up26. If you listen as ______ as Lucy, you can also get good grades as she doesA. more carefulB. carefulC. carefullyD. more carefully27. Be careful of the person _______ does not talk and the dog that does not bark.A. whichB. whatC. whoD. when28. - Would you like to go for a walk with me, Allen?- I ,d love to, _______ you don ,t want to go alone.A. untilB. beforeC. ifD. after29. -Excuse me, could you please tell me ________?-Sorry. But the bus stop is over there. You can go and check the bus lines.A. where the bus stop isB. which bus goes to the Sea ParkC. when I can get to the Sea ParkD. how I can get to the bus stop30. -We ,ll study in different schools next term. Enjoy your time in new school!-________A. Me too.B. Congratulations!C. The same to you.D. I ,ll take your advice.V. 完形填空(共15小题,计15分)通读下面短文,掌握其大意,然后在各题所给的四个选项中选出一个最||正确答案.My stutter (口吃)had always been much of a problem. I ,d had so many specialists for my 31 over the years. As l walked down the hallway to meet a new one, memories popped in my head of how painful being a kid who stutters had been. It 32 troubled me a lot."Hello! I ,m Mrs. Claussen. I hear you ,re from Texas!〞"Ye -Ye -Ye -Yes I m -m -m -m -m -m -m -aam I am…〞My heart felt like it was beating through my chest and my hands were dripping wet. I really blew that 33 ."Well,〞she said with a 34 smile, "I ,ve always liked Texas.〞She turned out to be the best speech specialist I ,ve ever had, not like those who told me to clap my hands while speaking. She was 35 . She spent the first several weeks just talking to me - asking me all kinds of questions about myself, especially my feelings. And she 36 . She then began to teach me about the speech. Not just about my speech, but about everybody ,s. I 37 in my old school and was a pretty good tenor (男高音), but I learned that the new school ,s singing group was all filled up. It was such bad news, 38 I thought that was the one thing I could really do well - and I could do it 39 stuttering. Somehow Mrs. Claussen finally got me in the group. I felt like she really cared about me as a person, not just a speech student.During the next two years, my speech didn ,t get much better - except with her. When I was in college, things got 40 . I once even wondered if I would ever be able to 41 ! It was a very depressing time, and I often felt alone. When I was feeling really sorry for myself, I remembered Mrs. Claussen had told me whether I could 42 my speech was all up to me. She had told me not to fight for perfect speech, just better speech. She was 43 about that. I finally improved my speech greatly. Many years have passed, but I think of her from time to time, wondering if she had as much 44 on her other students as she had on me. I like to think that she did. I ,II never forget her. Her name was Mrs. Claussen… and sh e 45 .31. A. speech B. study C. dream D. fear32. A. maybe B. even C. still D. never33. A. instruction B. description C. introduction D. question34. A. shy B. cold C. weak D. kind35. A. silent B. simple C. direct D. different36. A. cried B. listened C. waited D. stopped37. A. sang B. spoke C. played D. clapped38. A. so B. but C. for D. and39. A. against B. besides C. beyond D. without40. A. better B. worse C. best D. worst41. A. practice B. communicate C. report D. reply42. A. train B. share C. change D. follow43. A. right B. wrong C. good D. bad44. A. advice B. influence C. feeling D. action45. A. continued B. taught C. agreed D. caredVI. 阅读理解(共15小题,计30分.其中第|一节10小题,计20分;第二节5小题,计10分) 第|一节:阅读以下短文,从每题所给的四个选项(A、B、C和D )中选出最||正确选项.AMr. Clinton and his 13 -year -old son Tony are basketball fans. Last October 10th was Tony's birthday, so Mr. Clinton decided to drive him to New York, for the first game of the World Series. They had no ticket but hoped to buy a pair from scalpers.It was a two hours' ride. After they arrived, they walked in the street for two hours, carrying a sign(牌子) that read, " We need two tickets.〞There were many scalpers around, but the cheapest ticketwas $200. They were about to leave when suddenly a man stopped them. He took out two tickets and handed them to Mr. Clinton."How much do you want?""Just a present," said the man. "Enjoy the game."Mr. Clinton wouldn't accept, so the man explained, "I'm Jackson. Hans is my boss. He and his wife haven't missed a World Series in 18 years. But he is ill and can't watch the game this time. So he told me to give the two tickets to people who I thought would actually enjoy the game. A lot of people looked as if they might just take the tickets and sell them. Then I saw you and I followed you for a while. You seemed very disappointed. You made me think of my dad and me when I was a child. I dreamed of going to a World Series game with my father. But my dream never came true."How do you suppose this made Mr. Clinton and his son feel? Here is what Mr. Clinton said: "This is the most wonderful thing that ever happened to us. My boy and I must have turned to each other over 30 times and said, 'I can't believe this.' We still never forget Jackson and Hans."46. Why did Mr. Clinton go to see a game of the World Series?A. Because he is a basketball fanB. Because it was his son ,s birthday and he loves basketball.C. Because it was his birthdayD. Because he wanted to relax himself and his son.47. The underlined word ‘scalpers , in the first paragraph means ______.A. people who buy tickets at a low priceB. people who sell tickets at a low priceC. people who buy tickets at a high priceD. people who sell tickets at a high price48. How did the father and the son feel when they knew how much the scalpers asked for?A. Happy.B. Excited.C. Angry.D. Hopeless.49. The two tickets belonged to ________A. Mr. ClintonB. JacksonC. HansD. a scalper50. Which of the following is NOT true according to this passage?A. We should try our best to do what we want to do.B. Roses given, fragrance (芬芳) in hand.C. If you cannot see the chance of doing something, just give it up.D. Never lose your heart when you are down, as there ,s always a hope.BHave you ever thought about what kind of job you would like to have when you grow up? Many people think that we can have only one job in our lifetime. We all know that this is not true, but quite a few people actually think this way. For example, when people choose a major in college, they think that the decisions they make now will decide their jobs for the rest of their lives. However, there are manyexamples where people became successful after changing their careers (职业) later in life.J. K. Rowling, writer of the famous novel Harry Potter, was actually a school teacher before she began writing books. In fact, she was out of work before the first Harry Potter book came out.Former US President Ronald Reagan began as an actor when he was a young man. He later decided that he wanted to do political work. This kind of passion (激情) finally led him to become President of the United States.The famous 19th century artist Vincent Van Gogh was not a painter from the beginning. He once worked as an art salesman and later became a preacher. It was only 10 years before he died that he decided to become an artist.Careers are always open to change. The important thing is to find what you are really good at or what your really want to do. Once you find that passion, it ,s all a matter of how hard you try.51. _________ was s teacher before he (she) became famous.A, Vincent Van Gogh B Ronald ReaganC. J. K. RowlingD. Harry Potter52. For some people, the majors they choose in college will decide _________A. how rich they will beB. how successful they will beC. what their jobs will beD. who they will be53. The underlined word "political" in Paragraph 3 means _________ in Chinese.A. 政|治的 B 艺术的C. 文学的D. 经济的54. According to the passage, which statement is true?A. Not many people can be successful after they change their jobsB. J. K. Rowling worked in a school as a teacher before her first book came out.C. To choose the right career, you just need to try hard enough.D. Vincent Van Gogh had been an artist only for ten years before he died.55. According to the passage, the most important thing to think of when choosing career is _________.A. what major you choose in collegeB. how much money you can makeC. changing jobs as often as possibleD. finding what you really want to do第二节:阅读下面文章,然后从文后所给的A -F六个选项中选择正确的小标题(有一个多余) ,将其序号填入56 -60题."Hi there, how are you doing?〞"Great, thanks, how are you?〞"Just fine, thank you - uh, and you?〞Ugh. Pause (停顿). Uncomfortable silence. Downward look. Now what? Here are some pieces of advice on how to keep small talk going.56When talking to someone one -on -one, you have one minute to find out everything about them. You have the rest of your life to tell them about you. So let the other person talk.57The most basic thing to do is keep things simple. "What are your plans for the weekend?〞"How did you spend the holiday?〞Stay away from difficult topics.58If you don ,t know the person well or haven ,t seen them for a while, don ,t suppose they are still working for a specific company or they are still married, and so on. Ask "What ,s been going on with the work?〞instead of "How ,s the job at the newspaper?〞59About 99 percent of the time, being right doesn ,t really matter. If someone says a car is a nice kind of blue, but it doesn ,t look blue, there ,s completely no reason to be right. Be agreeable.60Don ,t just say. "I had a great day.〞Tell them a story. People love stories, be it something that happened at work or with the family. It ,s more interesting than facts.A. Tell a storyB. Avoid disagreementC. Be unclearD. Keep it simpleE. Be a good listenerF. Wait for othersVII. 词语填空(共10小题,计10分)用方框中所给单词的适当形式填空,使短文通顺正确、连贯(每个单词限用一次) . careful, share, rule, happy, clean, advice, than, from, who, talkAt some time in your life ,you might have a roommate. 61 a flat can be fun. But life with a roommate can also be a terrible experience.Some experts(专家)did a study of college students 62 shared a room.They found that students who had problems with their roommates were not happy at school and were more likely to get sick 63 other students.So, how can you live with a roommate and enjoy it? Here is some 64 :Being roommates with a friend can be hard. Friends may be different when you stay with them all the time 65 when you don ,t see them very often.So before you plan to share a room with a friend ,discuss the situation 66 .If you decide to share a room with someone you don ,t know, 67 to each other. It ,s important to be honest about your habits and things you hate.When you move in with a roommate ,make 68 . Decide how you will share housework, such as 69 , washing and shopping. Will you share food? Is it OK to have guests? And what about loud music?Don ,t get angry at small things that your roommate does. Try to forget the 70 things between you and your roommate. No one - including you - is perfect.VIII. 单词拼写(共10小题,计10分)根据以下句子及所给单词的首||字母,在答题卷上按题号写出各单词的完全形式(每空限填一词) .71. C________ the cut with a clean cloth and ask the doctor for help if you hurt yourself badly.72. Would you please hand down that book from that s________? I can ,t reach it.73. On Spring Festival, all the family m_________ will get together to have dinner.74. It is quite clear that this problem will not be e_________ solved. We need to have another discussion about it.75. My aunt thought that her son was old enough to look after h________. So she left him at home alone.76. I was so s________ that I could hardly keep awake.77. The pet dog has been waiting for its o_________ for over a month, and nobody could make it leave.78. She wanted to finish the work quickly. As a result, she made a number of m__________.79. His tiredness c__________ that terrible car accident.80. He stopped at the mailbox and d____________ the letter in.IX. 书面表达(共1小题,计15分)最||近你的朋友Tom在他的微博上发了这样一个帖子:假设你是Jim ,请你给Tom回个帖子.内容要求:1. 针对Tom的困惑,先谈谈你的看法;2. 结合自己的学习生活实践为他提几条合理的建议;3. 最||后送上你的祝愿.Dear Tom,I can understand your feelings very well. ______________________________________________________________________________________________________________________________________ ________________________________________________________________________________________ ___________________________________________________________________________________ ___________________________________________________________________________________ ______________________________________________________________________________________________________________________________________________________________________ _________________________九年级||英语听力材料参考答案一、听短对话, 答复以下问题听下面5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||正确选项,并标在试题的相应位置.听完每段对话后,你都有10秒钟的时间来答复有关小题和阅读下一小题.每段对话仅读一遍.1. M: Our class visited the farm last Friday. It was much fun.W: So it was. We visited it two days earlier than you.2. M: Julia, did you stay in England after you left school?W: No. I worked in Australia for five years. It ,s a good place.3. M: Excuse me, is there anybody sitting here?W: Oh, no, sir. Well, I ,ll just move my bag.4: M: Kate, you used to be afraid of speaking in public, didn ,t you?W: Yes, I did. But now I ,ve changed a lot. I prefer to hang out with friends.5. M: Nancy, have you asked your parents about the school picnic yet?W: Yeah, I asked them yesterday. But they won ,t let me go.M: That ,s too bad! I have planned a four -friend boat trip after the picnic.W: I ,m really sorry, Mike. I have to study for the test.二、听长对话, 答复以下问题听下面两段长对话.每段对话后有几个小题,从题中所给的A、B、C三个选项中选出最||正确选项.听每段对话前,你有时间阅读各小题,每题5秒钟;听完后,各小题给出5秒钟的作答时间.每段对话读两遍.(停2秒)听下面一段对话, 答复第6至||第8两个小题.现在, 你有15秒钟的时间阅读这三题.(停10秒)M: Mrs. White, do you know where the post office is?W: Yes, Bob. You can follow me. I ,m going there to send a letter to my brother.M: That ,s great. Are we going there on foot?W: No. It ,ll take us about half an hour to go there on foot. We ,ll take a bus. So are you going there to post this package?M: Yes. My sister is studying in China now. She wants some books.W: I haven ,t seen your sister for months. When did she go to China?M: In March. She ,s been studying there for three months.W: Will she come back to New York during the vacation?M: No. She wants to teach some kids English in China during the vacation.听下面一段对话,答复第9至||第11三个小题.现在,你有15秒种的时间阅读这三题.(停15秒)W: Good afternoon! Can I help you, sir?M: Yes, please! I want to buy the tickets for Kung Fu Panda.W: The earliest film starts at 3:30. You have to wait for two hours.M: Then when will the evening one start?W: At 8:15M: How much is a ticket?W: 20 dollars and half of it for a child under 12.M: All right. I ,d like 2 evening tickets and another one for a child at the age of 10. Here is the money. W: Thank you.三、听独白,答复以下问题听下面一段独白,并按独白的要求在试卷上完成任务,你可以边听边完成任务.然后你会看到4个问题和相关的选项 .请从每个问题A、B、C三个选项中选出最||正确选项.听独白前,你有20秒钟的时间阅读有关材料和4个小题.听完独白后,你有20秒钟的时间来选择有关选项.独白连续读两遍. (停20秒)Energy from the sun warms the ground, and some of his heat is back into the air. As the warm air rises, it cools down. Places that are high above sea -level, such as mountains, have cooler weather than places lower down.Energy from the sun warms the oceans, rivers and lakes, making some of the water rise into the sky. It rises to form clouds, and then falls back to the earth as rain, or snow. So places near the coast have wetter weather than islands.You can know by the following experiments. First, please get ready a ball and a light bulb. The ball can be regarded as the earth and the light bulb is just like the sun. Hold the ball in one hand. Shine the light onto the middle of the ball. The circle of bright light at the center of the ball is similar to the sun ,s light shining at the equator.Now find out how the light is shining at the bottom of the ball. It is much wider and dark right atthe bottom. This shows how the sun shines in the polar area.听力测试到此为止,请同学们继续做笔试题目.九年级||英语答题卷题号听力局部笔试局部总分结分人复分人ⅣⅤⅥⅦVIII IX得分一、听力局部(25分)I. 听短对话,答复以下问题. (5分)1. _____2. ________3. _______4. ______5. ________II. 听较长对话,答复以下问题. (12分)6.______7. _______8. _______9. ______ 10. _______ 11. _______ III. 听独白答复以下问题. (8分)12. __________13. ____________14. ___________15. ___________二、笔试局部(95分)IV. 单项填空(15分)16. ______ 17. _______ 18. _______ 19. ________ 20. _______ 21. ______ 22. _________ 23. ________ 24. ______ __25. ___________ 26. _______27. _________28. _________29. ________30. ___________ V. 完形填空(15分)31. _______ 32. _____ __ 33. ________ 34. _________35. ___________ 36. _______37. ________38. ___ ____39. _________40. ___________ 41. _______42. ________43. _________44. ________ 45. ___________ VI. 阅读理解(30分)46. _______47.________48.________49. ________ 50. ___________ 51. _______ 52. _______53. ________54. ________55. ___________ 56. _______57. ________58. _______59. _________ 60 ___________ VII. 词语填空. (10分)61. _______ 62. ________ 63. _______ 64. _______ 65. _______66. _______ 67. _________68. _________69. _________70. _______VIII. 单词拼写. (10分)71. _______ 72. _______ 73. ________ 74. ________ 75. __________76._______ 77.________78. ________79. __________ 80. __________IX. 书面表达(15分)Dear Tom,I can understand your feelings very well. _____________________________________ ________________________________________________________________________ ________________________________________________________________________ ________________________________________________________________________ ________________________________________________________________________ ________________________________________________________________________ ________________________________________________________________________ ________________________________________________________________________ ________________________________________________________________________ ________________________________________________________________________ ________________________________________________________________________ ___________________________________________________________________________九年级||英语期中|考试参考答案I. 听力:1-5 A A C B C 6 -11. B C A B B C 12-15 C B C AII. 单项选择:16 -20 A A D B C 21 -25 D A B A D, 26 -30 C C C B CIII. 完形:31 -35 A C C D D 36 -40. B A C D B 41 -45. B C A B DIV. 阅读:46 -50 B D D C C51 -55 C C A D D 56 -60 E D C B AV. 选词:61. Sharing 62. who 63. than 64. advice 65. from66. carefully 67. talk 68. rules 69. cleaning 70. unhappyVI.单词拼写:71.Cover 72. shelf 73. members 74. easily 75. himself76. sleepy 77. owner 78. mistakes 79. caused 80. droppedVII.书面表达One possible version:Dear Tom,I can understand your feelings very well.As junior 3 students, it is true that our life is a little boring. But I also think it ,s a kind of experience that we teenagers have to go through. We can do something to make our school life easier and more colorful.Here are some pieces of advice for you. First, we can do some sports to make us healthy. Second, it ,s useful for us to do some reading or listen to some music after school. Last but not least, we can spend some time talking with our teachers, families or friends. I think they will bring us happiness.I hope my advice will give you some help, and you can enjoy your school life better.。
浙江省杭州市萧山区高桥教育集团九年级(下)第二次调研化学试卷一、选择题(每小题3分,共60分,每小题只有一个选项符合题意)1.(3分)下列实验操作符合安全要求的是()A.验证氢气的可燃性B.闻气体气味C.移走蒸发皿D.稀释浓硫酸2.(3分)下列说法中正确的是()A.原子的相对质量等于原子核内的质子数+中子数B.生活中常接触到的“高钙牛奶”、“碘盐”中的“钙”、“碘”指的是离子C.通常把pH<7的降水称为酸雨D.氯化铵与草木灰(含碳酸钾)混合施用效果更佳3.(3分)下图是对实验绘制的图形,其中实验结果与图形对应准确的是()A.是向一定量的稀盐酸和氯化钙的混合溶液中不断滴入碳酸钠溶液至过量B.是用H2还原CuO来测定CuO中铜元素的含量C.是向饱和的NaCl溶液中不断加水D.是用适量的KClO3和MnO2混合物加热制O24.(3分)现有铁、氧化铁、稀硫酸、氢氧化钙、碳酸钠溶液等五种物质,存在着如图所示的相互反应或转化关系(图中“﹣”表示两端物质间可以发生化学反应.“→”表示物质间存在相应的转化关系.)下列判断合理的是()A.丙可能是碳酸钠溶液B.丁可能是氢氧化钙溶液C.乙必须通过置换反应转化为铁D.甲和丁的反应一定是中和反应5.(3分)下列实验设计不能够成功的是()实验目的实验操作A实验室制备二氧化碳将石灰石和稀盐酸混合B除去硫酸钠溶液中少量氯化钠杂质向含有氯化钠杂质的硫酸钠溶液中加入适量的硝酸银溶液,过滤C除去氯化钠固体中的少量碳酸钠加入过量的稀盐酸,充分反应后,蒸发D证明铁、铜、银的活动性强弱向盛有少量的氯化亚铁、氯化银的两支试管中,分别加入大小相同的铜片A.A B.B C.C D.D6.(3分)下列曲线示意图与相应选项表示不正确的是()A.表示稀盐酸中滴加蒸馏水B.表示等体积、等质量分数的过氧化氢溶液分解C.表示质量、颗粒大小都相等的金属中加稀盐酸D.表示HCl和FeCl3的混合溶液中滴加NaOH溶液二、填空题(本大题共35分)7.(3分)通过海水晒制可得粗盐,粗盐中除NaCl外,还含有MgCl2、CaCl2、MgSO4以及泥沙等杂质.以下是一种由粗盐制备精盐的实验方案流程图:分析该流程图,回答下列问题:(1)试剂X为(填写化学式).(2)试剂Y为.(填写化学式).(3)操作Z为.(4)选择的除杂的试剂不能用KOH代替NaOH溶液,理由是.8.(3分)“碳捕捉技术”是指通过一定的方法将工业生产中产生的CO2分离出来并利用.如何利用NaOH溶液来“捕捉”CO2,其基本过程如下图所示(部分条件及物质未标出).(1)整个工业生产过程中,可以循环利用物质有.(2)“反应分离”环节中,分离的基本操作是.(3)“反应分离”环节中,发生了复分解反应的化学方程式.“高温反应炉”中的化学方程式.三、实验探究(共46分)9.(8分)某学生用胆矾制取氧化铜固体,并研究氧化铜能否在氯酸钾受热分解实验中起催化作用.实验步骤如下:①称量a g胆矾固体放入烧杯中,加水配制成溶液,向其中滴加氢氧化钠溶液至沉淀完全,过滤;②把步骤①中的滤渣转移至蒸发皿中,加热至全部变成黑色氧化铜为止;③过滤、洗涤、干燥、称量所得固体质量为b g;④分别取一定质量的上述氧化铜固体和氯酸钾固体混合均匀,如图所示,加热、收集反应生成的氧气.请回答下列问题:(1)上述各步操作中,需要用到玻璃棒的是(填写序号).(2)为保证Cu2+沉淀完全,步骤①中溶液的pH应大于10,简述用pH试纸测定溶液的酸碱度时pH试纸的实验操作.(3)为证明氧化铜在氯酸钾的分解反应中起催化作用,在上述实验后还应该进行的实验操作是(按实验先后顺序填写字母序号).a.过滤b.烘干c.溶解d.洗涤e.称量(4)但有的同学认为,还必须另外再设计一个实验才能证明氧化铜在氯酸钾受热分解的实验中起催化作用.你认为还应该进行的另一个实验是.10.(8分)某区青少年活动中心的科学探究小组的同学们欲对香烟燃烧的烟雾中含有的二氧化碳和一氧化碳进行检验.请你参与他们的探究.对烟雾进行适当处理后,他们设计如下装置并进行实验.可供选择的试剂有:澄清石灰水、氢氧化钠溶液、浓硫酸、酚酞试剂、氧化铜.(1)装置①和装置⑤完全相同,其作用的不同之处是.(2)装置②的作用是;装置⑥的作用是.(3)判断一氧化碳气体存在的依据是.四、简答题(共37分)11.(6分)人体注射葡萄糖溶液可以补充能量,葡萄糖(C6H12O6)在体内经缓慢氧化生成二氧化碳和水,释放出能量.若1000克5%葡萄糖注射液中的葡萄糖完全氧化,计算:(1)理论上至少消耗O2多少克?(2)多少升空气中含有这些质量的氧气?(相对原子质量:H:1,C:12、O:16,O2密度按1.43克/升计,计算结果取整数)浙江省杭州市萧山区高桥教育集团九年级(下)第二次调研化学试卷参考答案一、选择题(每小题3分,共60分,每小题只有一个选项符合题意)1.D;2.A;3.A;4.A;5.BD;6.C;二、填空题(本大题共35分)7.Na2CO3;HCl;蒸发结晶;会引入新杂质KCl;8.氢氧化钠、氧化钙;过滤;Ca(OH)2+Na2CO3=CaCO3↓+2NaOH;CaCO3CaO+CO2↑;三、实验探究(共46分)9.①②③④;用干燥的玻璃棒蘸取少量溶液滴在pH试纸上,将呈现的颜色和标准比色卡对比,读数;cadbe;另取相同质量的氯酸钾固体,不加氧化铜直接加热,对比放出氧气的速率快慢;10.装置①是检验二氧化碳的存在,装置⑤是检验有一氧化碳的存在反应产生二氧化碳;吸收CO2;收集尾气CO;④中黑色的CuO变红色,并且⑤中液体变浑浊;四、简答题(共37分)11.;。
浙江省杭州市萧山区高桥初中教育集团2021-2022学年九年级12月学情调研数学试题学校:___________姓名:___________班级:___________考号:___________一、单选题1.抛物线232y x=-的顶点坐标是()A.(0,﹣2)B.(﹣2,0)C.(2,0)D.(0,0)2.若14ba=,则a ba+=()A.54B.45C.34D.433.下列说法正确的是()A.同时投掷两枚相同的硬币,出现“一正一反”的概率是1 3B.事件“两个正数相加,和是正数”是必然事件C.数2和8的比例中项是4D.同一张底片洗出来的两张照片是位似图形4.已知⊙O的半径为5,点P在⊙O外,则OP的长可能是()A.3B.4C.5D.65.如图,已知AB为⊙O的直径,C,D是圆上AB同侧的两点,⊙ACD=120°,则⊙BAD=()A.50°B.40°C.30°D.20°6.已知二次函数y=ax2+bx+1的图象与x轴没有交点,且过点A(﹣2,y1),B(﹣3,y2),C(1,y2),D,y3),则y1,y2,y3的大小关系是()A.y2>y1>y3B.y3>y2>y1C.y1>y3>y2D.y1>y2>y3 7.如图,在⊙ABC中,点D,E分别是AC和BC的中点,连接AE,BD交于点F,则下列结论中正确的是()A .DF DB =12 B .CD CE DEAC BC AB ++++=14C .AFB ADBS S △△=12D .DEF CDE S S △△=138.如图,取一张长为a ,宽为b 的长方形纸片,将它对折两次后得到一张小长方形纸片,若要使小长方形与原长方形相似,则原长方形纸片的边a 、b 应满足的条件是( )A .aB .a =2bC .a =b D .a =4b9.设直线x =1是抛物线2y ax =+bx +c (a ,b ,c 是实数,且a <0)的对称轴,下列结论正确的是( )A .若m >1,则(m ﹣1)a +b >0B .若m >1,则(m ﹣1)a +b <0C .若m <1,则(m +1)a +b >0D .若m <1,则(m +1)a +b <010.如图,在⊙O 中,AB 是⊙O 的直径,OB =5,==AC CD DB ,点E 是点D 关于AB的对称点,M 是AB 上的一动点,下列结论:⊙AC 的长度是53π;⊙⊙CED =12⊙DOB ;⊙DM ⊙CE ;⊙CM +DM 的最小值是10,上述结论中正确的个数是( )A .1个B .2个C .3个D .4个二、填空题 11.已知抛物线()21y x =+向右平移2个单位,再向上平移1个单位,得到的抛物线表达式为____.12.在一个不透明的口袋里装有仅颜色不同100个球,某小组做摸球实验,将球搅匀后从中随机摸出1个球,记下颜色,再把它放回,不断重复,下表是实验中记下的一组数据:试估计口袋中红球有_________个.13.已知P 是线段AB 的黄金分割点,且AB=2,则AP 的长为________14.如图,在半径为13的⊙O 中,AB ,CD 是互相垂直的两条弦,垂足为P ,且AB =CD =24,则OP 的长是 _____.15.在⊙ABC 中,点D 、E 分别在AB 、AC 上,⊙AED =⊙B ,如果AB =2,⊙ADE 的面积为4,四边形BCED 的面积为5,那么AE 的长为 _____.16.二次函数23()4y x m m =-+,当232m x m -≤≤时,y 的最小值是1,则m 的值是_____.三、解答题 17.防疫期间,全市所有学校都严格落实测体温进校园的防控要求.某校开设了甲、乙、丙三个测温通道,某天早晨,该校小明和小丽两位同学将随机通过测温通道进入校园.(1)小明从乙测温通道通过的概率是________;(2)利用画树状图或列表的方法,求小明和小丽从同一个测温通道通过的概率.18.如图,已知抛物线y=﹣x2+bx+c与坐标轴交于A,B,C三点,其中A(﹣2,0),B(4,0).(1)求该抛物线的表达式和顶点坐标;(2)直接写出当y<0时,x的取值范围.19.如图,在⊙ABC中,AB=AC,E在AC上,经过A,B,E三点的圆O交BC于点D,且D点是BE的中点.(1)求证:AB是圆的直径;(2)若AB=8,⊙C=60°,求阴影部分的面积.20.如图,在正方形ABCD中,E、F分别是边AD、CD上的点,AE=ED,DF=1 4DC,连接EF并延长交BC的延长线于点G.(1)求证:ABE DEF△△∽;(2)若正方形的边长为4,求FG的长.21.如图,AB是⊙O的直径,弦CD⊙AB于点E,G是AC上一点,AG,DC的延长线交于点F,连接AD,GD,GC.(1)求证:⊙ADG=⊙F;(2)已知CD =6,BE =2,求⊙O 的半径长.22.已知二次函数(1)(3)y x x k =++.(1)若当1x =时,该函数有最小值,求k 的值.(2)若二次函数图象向上平移1个单位后与x 轴只有一个交点,求k 的值. (3)已知1k,当x m ≥时,y 随着x 的增大而增大,试求出m 的一个值.23.如图,在菱形ABCD 中,点E 在BC 边上(与点B 、C 不重合),连接AE 交BD 于点G .(1)若AG =BG ,AB =2,BD =3,求线段DG 的长;(2)设BC =kBE ,⊙BGE 的面积为S ,⊙AGD 和四边形CDGE 的面积分别为S 1和S 2,把S 1和S 2分别用k 、S 的代数式表示; (3)求21S S 的最大值.参考答案:1.A【解析】【分析】根据函数的解析式,可以直接写出该函数的顶点坐标.【详解】解:232y x=-,∴该抛物线的顶点坐标为(0,2)-,故选:A.【点睛】本题考查二次函数的性质,由顶点式可以直接写出顶点坐标是解答本题的关键.2.A【解析】【分析】根据比例的性质可得a=4b,然后代入即可求出结论.【详解】解:⊙14 ba=⊙a=4b⊙a ba+=44b bb+=54bb=54故选A.【点睛】此题考查的是比例的基本性质,掌握内项积等于外项积是解题关键.3.B【解析】【分析】根据概率的求法、随机事件、比例中项的概念、位似图形的概念判断即可.【详解】解:A、同时投掷两枚相同的硬币,出现“一正一反”的概率是12,本选项说法错误,不符合题意;B 、事件“两个正数相加,和是正数”是必然事件,本选项说法正确,符合题意;C 、数2和8的比例中项是±4,本选项说法错误,不符合题意;D 、同一张底片洗出来的两张照片是全等图形,不一定是位似图形,本选项说法错误,不符合题意; 故选:B . 【点睛】本题考查的是概率、随机事件、比例中项、位似图形,掌握它们的概念和性质是解题的关键. 4.D 【解析】 【详解】设点与圆心的距离d ,已知点P 在圆外,则d>r.解:当点P 是⊙O 外一点时,OP>5cm ,A 、B 、C 均不符. 故选D.“点睛”本题考查了点与圆的位置关系,确定点与圆的位置关系,就是比较点与圆心的距离化为半径的大小关系. 5.C 【解析】 【分析】根据圆内接四边形的性质得出60ABD ∠=︒,根据直径所对的圆周角是90︒得90BDA ∠=︒,进而利用互余得出BAD ∠的度数即可. 【详解】 解:AB 为O 的直径,C ,D 是圆上AB 同侧的两点,180********ABD ACD ∴∠=︒-∠=︒-︒=︒,90ADB ∠=︒,906030BAD ∴∠=︒-︒=︒,故选:C . 【点睛】本题考查圆周角定理的应用,要熟练掌握直径所对的圆周角是90︒是解答此题的关键. 6.B 【解析】【分析】由二次函数21y ax bx =++知1c =,即二次函数和y 轴交于点(0,1),而函数图象与x 轴没有交点,故抛物线开口向上,点B 、C 的纵坐标相同,则二次函数函数的对称轴为直线1(31)12x =⨯-+=-,再根据点离二次函数对称轴的距离的大小情况,即可求解. 【详解】解:由二次函数21y ax bx =++知1c =,即二次函数和y 轴交于点(0,1), 而二次函数图象与x 轴没有交点,故抛物线开口向上,点B 、C 的纵坐标相同,则二次函数的对称轴为直线1(31)12x =⨯-+=-, 而点离函数对称轴的距离从大到小的顺序是D 、B (C )、A , 故321y y y >>, 故选:B . 【点睛】本题考查的是二次函数图象上点的坐标特征,熟悉函数与坐标轴的交点、顶点等点坐标的求法,及这些点代表的意义及函数特征是解题的关键. 7.D 【解析】 【分析】根据三角形的中位线的性质和相似三角形的判定和性质定理即可得到结论. 【详解】解:⊙点D ,E 分别是AC 和BC 的中点, ⊙11,,22DE AB CD AC ==1,2CE BC =DE ⊙BC ,⊙⊙DEF ⊙⊙BF A , ⊙1,2DF DE BF AB == ⊙13DF DB =,故A 选项错误; ⊙1,2CD CE DE AC BC AB ++=++故B 选项错误;⊙⊙DEF ⊙⊙BAF ,⊙1,2EF DF AF BF == ⊙23FB BD =, ⊙2,3AFB ADB S S ∆∆=故C 选项错误; ⊙12EF DF FA BF == ⊙12DEF DAF S S ∆∆= ⊙13DEF ADE S S ∆∆= ⊙D 为AC 的中点, ⊙AD =CD ⊙ADE CDE S S ∆∆= ⊙13DEF CDE S S =△△,故D 选项正确; 故选:D . 【点睛】本题考查了三角形的中位线的性质,相似三角形的判定和性质,正确的识别图形是解题的关键. 8.B 【解析】 【分析】根据对折表示出小长方形的长和宽,再根据相似多边形的判定,对应边成比例列式计算即可. 【详解】解:对折两次后的小长方形的长为b ,宽为14a , 要使小长方形与原长方形相似,只要满足14ab b a =即可,⊙2a b =. 故选:B . 【点睛】本题考查了相似多边形的判定,准确表示出小长方形的长和宽是解题的关键.9.C 【解析】 【分析】利用二次函数对称轴以及a <0,求出b 与a 的关系式,再综合利用a 、m 的取值范围进行判断即可. 【详解】解:二次函数对称轴为直线12bx a=-=, 2b a ∴=-,当m >1时,由于3m -的正负未知,a <0, (1)(3)m a b m a ∴-+=-的正负无法判断.当m <1时,由于10m -<,a <0, (1)(1)0m a b m a ∴++=->.故选:C . 【点睛】本题主要是考查了二次函数的对称轴公式以及同号异号的乘法,熟练掌握对称轴公式,求出b 与a 的关系式,是解决本题的关键. 10.C 【解析】 【分析】根据==AC CD DB 和点E 是点D 关于AB 的对称点,求出60DOB COD BOE ∠=∠=∠=︒,求出CED ∠,即可判断⊙⊙;根据圆周角定理求出当M 和A 重合时60MDE ∠=︒即可判断⊙;求出M 点的位置,根据圆周角定理得出此时DF 是直径,即可求出DF 长,即可判断⊙. 【详解】 解:==AC CD DB ,点E 是点D 关于AB 的对称点,∴BDBE ,1180603DOB BOE COD AOC ∴∠=∠=∠=∠=⨯︒=︒,∴AC 的长度是60551803ππ⋅⨯=, ∴⊙正确;1116030222CED COD DOB ∠=∠=⨯︒=︒=∠, ∴⊙正确;BE 的度数是60︒,∴AE 的度数是120︒,∴只有当M 和A 重合时,60MDE ∠=︒,30CED ∠=︒,∴只有M 和A 重合时,DM CE ⊥,∴⊙错误;作C 关于AB 的对称点F ,连接CF ,交AB 于N ,连接DF 交AB 于M ,此时CM DM +的值最短,等于DF 长,连接CD ,AC CD DB AF ===,并且弧的度数都是60︒,1120602D ∴∠=⨯︒=︒,1302CFD ∠==︒, 180603090FCD ∴∠=︒-︒-︒=︒,DF ∴是O 的直径,即10DF AB ==,CM DM ∴+的最小值是10,∴⊙正确;综上所述,正确的个数是3个.故选:C .【点睛】本题考查了弧长的计算,圆周角定理,轴对称-最短问题等知识点,能灵活运用圆周角定理求出各个角的度数和求出M 的位置是解此题的关键.11.()211y x =-+【解析】【分析】根据二次函数的平移规律“上加下减,左加右减”即可求解.【详解】解:抛物线()21y x =+向右平移2个单位,得到()()22121y x x =+-=-,再向上平移1个单位,得到()211y x =-+,故答案为:()211y x =-+.【点睛】本题考查二次函数的平移,掌握二次函数的平移规律“上加下减,左加右减”是解题的关键.12.75【解析】【分析】根据统计数据,当n 很大时,摸到红球的频率稳定在0.75附近,根据利用频率估计概率,可估计摸到红球的概率为0.75,然后利用概率公式计算红球的个数,从而可得答案.【详解】解:根据题意可得当n 很大时,摸到红球的频率将会稳定在0.75附近;∴ 摸到红球的概率是0.75, 则1000.75=75⨯(个),故答案为:75.【点睛】本题考查了利用频率估计概率:大量重复实验时,事件发生的频率在某个固定位置左右摆动,并且摆动的幅度越来越小,根据这个频率稳定性定理,可以用频率的集中趋势来估计概率,这个固定的近似值就是这个事件的概率.掌握以上知识是解题的关键.131或3【解析】【分析】把一条线段分成两部分,使其中较长的线段为全线段与较短线段的比例中项,这样的线段)叫做黄金比.注意AP 可能是较长线段,也可能是较短线段.【详解】 根据黄金分割的概念知,AP 可能是较长线段,也可能是较短线段.如果AP 为较长的线段时,AP AB 1;如果AP 为较短的线段时,AP =21)=31或3【点睛】本题考查了黄金分割的概念.特别注意这里的AP 可能是较长线段,也可能是较短线段;熟记黄金比的值进行计算.14.【解析】【分析】作OM AB ⊥于M ,ON CD ⊥于N ,连接OB ,OD ,首先利用勾股定理求得OM 的长,然后判定四边形OMPN 是正方形,求得正方形的对角线的长即可求得OM 的长.【详解】解:作OM AB ⊥于M ,ON CD ⊥于N ,连接OB ,OD ,由垂径定理、勾股定理得:5OM ON =,弦AB 、CD 互相垂直,90DPB ∴∠=︒,OM AB ⊥于M ,ON CD ⊥于N ,90OMP ONP ∴∠=∠=︒∴四边形MONP 是矩形,OM ON =,∴四边形MONP 是正方形,OP ∴=故答案为:【点睛】本题考查了垂径定理,勾股定理,正方形的判定和性质等知识,正确地作出辅助线,构造特殊四边形解决问题是解题的关键.15.43【解析】【分析】由AED B ∠=∠,A ∠是公共角,根据有两角对应相等的三角形相似,即可证得ADE ACB ,又由相似三角形面积的比等于相似比的平方,即可得到结论.【详解】解:A A ∠=∠,AED B ∠=∠,⊙ADE ACB , ∴2ADE ACB S AE S AB ⎛⎫= ⎪⎝⎭△△, ADE 的面积为4,四边形BCED 的面积为5,ABC ∴的面积为9,∴232AE , 43AE ∴=, 故答案为:43. 【点睛】本题考查了相似三角形的判定与性质,掌握有两角对应相等的三角形相似与相似三角形面积的比等于相似比的平方定理的应用是解题的关键.16.1或2-##-2或1【解析】【分析】 根据二次函数的性质可找出二次函数23()4y x m m =-+图象的对称轴为直线x m =,分23m m ≤-、232m m m -<<及2m m ≥三种情况考虑,当23m m ≤-时,代入23x m =-得到的关于m 的方程无实数解;当232m m m -<<时,代入x m =可求出1m =;当2m m ≥时,代入2x m =可求出2m =-.综上即可得出结论.【详解】 解:二次函数23()4y x m m =-+图象的对称轴为直线x m =. 当23m m ≤-,即3m ≥时,23x m =-时y 取最小值, ∴23(23)14m m m --+=, 方程无实数根;当232m m m -<<,即03m <<时,x m =时y 取最小值,1m ∴=;当2m m ≥,即0m ≤时,2x m =时y 取最小值, ∴23(2)14m m m -+=, 解得:12m =-,223m =(舍去). 综上所述:m 的值为1或2-.故答案为:1或2-.【点睛】本题考查了二次函数的性质以及二次函数的最值,熟悉相关性质,并利用分类讨论思想进行讨论是解题的关键.17.(1)13;(2)13【解析】【分析】(1)根据题意直接利用概率公式求解即可得出答案;(2)由题意先列表得出所有等可能结果,从中找到符合条件的结果数,再利用概率公式进行计算可得.【详解】解:(1)小明从乙测温通道通过的概率是13, 故答案为:13;(2)列表格如下:由表可知,共有9种等可能的结果,其中小明和小丽从同一个测温通道通过的有3种可能,所以小明和小丽从同一个测温通道通过的概率为39=13. 【点睛】本题考查的是用列表法或画树状图法求概率.注意列表法或画树状图法可以不重复不遗漏的列出所有可能的结果,用到的知识点为:概率=所求情况数与总情况数之比. 18.(1)y =﹣x 2+2x +8,(1,9);(2)x <﹣2或x >4.【解析】【分析】(1)把A 点和B 点坐标分别代入y =-x 2+bx +c 得到关于b 、c 的方程组,解方程组求出b 、c 的值,化为顶点式求出顶点坐标;(2)根据函数图象结合点A 、B 横坐标直接得到答案;【详解】解:(1)把A (﹣2,0),B (4,0)代入y =﹣x 2+bx +c ,得4201640b c b c --+=⎧⎨-++=⎩, 解得28b c =⎧⎨=⎩, ⊙抛物线解析式为y =﹣x 2+2x +8,⊙y =﹣x 2+2x +8=-(x -1)2+9,⊙顶点坐标为:(1,9);(2)由图象结合点A 、B 横坐标知,当x <﹣2或x >4时,y <0.【点睛】本题主要考查了抛物线与x 轴的交点,利用函数图象解了不等式,待定系数法确定函数关系式等知识点,注意“数形结合”数学思想的应用.19.(1)见解析;(2)83 【解析】【分析】(1)连接AD ,根据等腰三角形的三线合一得到AD ⊙BC ,根据圆周角定理的推论证明; (2)连接OE ,根据扇形面积公式计算即可.【详解】解:(1)连接AD ,⊙D 点是BE 的中点,⊙⊙BAD =⊙CAD ,又⊙AB =AC ,⊙AD ⊙BD ,⊙⊙ADB =90°,⊙AB 是⊙O 直径;(2)连接OE ,⊙⊙C =60°,AB =AC ,⊙⊙BAC =60°,⊙⊙AOE =60°,⊙⊙BOE =120°,⊙⊙OBE =30°,⊙AB =8,⊙OB =4,⊙S 阴影=S 扇形AOE +S △BOE =2604123602π⨯+⨯⨯83 【点睛】本题考查了扇形面积的计算,等腰三角形的性质,圆周角定理,正确的作出辅助线是解题的关键.20.(1)见解析;(2)【解析】【分析】(1)由正方形的性质可得AD =AB =DC =BC ,90AD ∠∠︒==,然后根据对应边成比例且夹角相等可判定ABE DEF △△∽;(2)通过证明DEF CGF ∽,可得ED DF CG CF =,根据DF =14DC 可得CF =3,CG =6,由勾股定理可求解.【详解】解:(1)证明:⊙四边形ABCD 为正方形,⊙AD =AB =DC =BC ,90A D ∠∠︒==,⊙AE =ED , ⊙AE AB=12, ⊙DF =14DC , ⊙DF DE =12, ⊙AE DF AB DE=, ⊙ABE DEF △△∽;(2)⊙四边形ABCD 为正方形,⊙//ED BG ,⊙DEF CGF ∽, ⊙ED DF CG CF=, 又⊙DF =14DC ,正方形的边长为4, ⊙DF =1,ED =2,⊙CF =3,CG =6,⊙GF=【点睛】本题考查了正方形的性质、三角形相似的判定和性质、勾股定理;关键在于用三角形相似的性质建立等式求解.21.(1)证明见解析;(2)134.【解析】【分析】(1)连接BG,根据圆周角定理得到90AGB AEF∠=∠=︒,根据余角的性质得到B F∠=∠,等量代换得到结论;(2)连接OD,设O的半径为r,根据垂径定理得到132DE CE CD===,根据勾股定理结论得到结论.【详解】(1)证明:连接BG,AB是O的直径,弦CD AB⊥,90AGB AEF∴∠=∠=︒,90BAG B EAF F∴∠+∠=∠+∠=︒,B F∴∠=∠,ADG B∠=∠,ADG F∴∠=∠;(2)解:⊙连接OD,设O的半径为r,OD OB r∴==,2BE=,2OE r∴=-,CD AB⊥,132DE CD ∴==, 在Rt ODE ∆中,222OD DE OE =+,222(2)3r r ∴=-+, 解得:134r =, O ∴的半径长为134. 【点睛】 本题考查的是垂径定理,圆周角定理和勾股定理,掌握垂直于弦的直径平分这条弦,并且平分弦所对的两条弧是解题的关键.22.(1)1k =-;(2)13-或1;(3)0(答案不唯一). 【解析】【分析】(1)先二次函数的解析式化为一般式,写出抛物线的对称轴方程,利用二次函数的性质得到3122k +-=,然后解方程即可; (2)写出平移后的抛物线解析式,再利用判别式的意义得到⊙2(31)4(34)0k k =+-+=,然后解关于k 的方程;(3)利用1k 和二次函数的性质得到当2x -时,y 随着x 的增大而增大,从而得到2m ≥-.【详解】解:(1)2(31)3y x k x k =+++,10a =>,∴当312k x +=-时,y 有最小值, 即3112k +-=, 解得1k =-;(2)二次函数图象向上平移1个单位所得抛物线解析式为2(31)31y x k x k =++++,根据题意得2(31)4(31)0k k ∆=+-+=,解得113k =-,21k =, k ∴的值为13-或1;(3)抛物线2(31)3y x k x k =+++的对称轴为直线312k x +=-, 1k ≥,∴抛物线的对称轴在直线2x =-的左侧(或对称轴为直线2)x =-,抛物线开口向上,∴当2x ≥-时,y 随着x 的增大而增大,m ∴可以取0.【点睛】本题考查了二次函数2y ax bx c =++的性质,与x 轴的交点坐标问题,一元二次方程等知识点,熟悉相关性质是解题的关键.23.(1)53;(2)S 1=k 2S ,S 2=(k 2+k ﹣1)S ;(3)54. 【解析】【分析】(1)证明⊙BAG ⊙⊙BDA ,利用相似比可计算出BG =43,从而得到DG 的长; (2)先证明⊙ADG ⊙⊙EBG ,利用相似三角形的性质得到S 1=k 2S ,根据三角形面积公式和菱形的性质即可得到结论;(3)由(1)可以求得21S S 211524k ⎛⎫=--+ ⎪⎝⎭,然后利用二次函数的性质求解即可. 【详解】解:(1)⊙AG =BG ,⊙⊙BAG =⊙ABG ,⊙四边形ABCD 为菱形,⊙AB =AD ,⊙⊙ABD =⊙ADB ,⊙⊙BAG =⊙ADB ,⊙⊙BAG ⊙⊙BDA , ⊙BA BD BG BA=,232BG =, ⊙43BG =,⊙DG =BD ﹣BG =53; (2)⊙四边形ABCD 为菱形,⊙BC =AD =kBE ,AD ⊙BC ,⊙AD ⊙BE ,⊙⊙DAE =⊙BEA ,⊙ADG =⊙EBG ,⊙⊙ADG ⊙⊙EBG , ⊙221S AD k S BE ⎛⎫== ⎪⎝⎭,DG AD k BG BE ==, ⊙S 1=k 2S , ⊙1ABG S DG k S BG==△, ⊙1ABG S S k =△, ⊙=ABD BCD S S ,⊙S 2=S 1+1S k﹣S =k 2S +kS ﹣S =(k 2+k ﹣1)S ; (3)⊙()22211k k S S S k S+-= 2111k k=-++ 2111544k k ⎛⎫=--++ ⎪⎝⎭ 211524k ⎛⎫=--+ ⎪⎝⎭, ⊙10-<,⊙当112k =时,21S S 有最大值54, ⊙21S S 的最大值为54. 【点睛】本题主要考查了菱形的性质,相似三角形的性质与判定,二次函数的最值问题,解题的关键在于能够熟练掌握相似三角形的性质与判定.。