广东省广州市育才实验中学2014届九年级上学期期中考试数学试题(无答案)
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广大附中2013学年上学期初三中段考数学卷问卷(注:请把答案填在答卷上,在此卷作答作废) 本试卷满分150分,考试时间120分钟 一、选择题:(每题3分,共30分)1、下列二次根式中,“明天降雨的概率是 80%'表示明天有80%勺时间降雨。
“抛一枚硬币正面朝上的概率是 0.5 ”表示每抛硬币2次就有1次出现正面朝上 。
“彩票中奖的概率是 1%'表示买100张彩票一定会中奖。
么平均每2次就有1次出现朝正面的数为奇数。
x 的取值范围是X _ 2的是(2.观察下列银行标志,x^从图案看既是轴对称图形又是中心对称图形的有(x+2 C . x — 2 DO 籌A.1 个B . 2个C . 3个 3、下列说法正确的是(“抛一枚正方体骰子朝正面的数为奇数的概率是0.5 “表示如果这个骰子抛很多很多次,那4、如图,在厶ABC 中, / B =90° , / A =30°,AC=4 cm,将厶ABC 绕顶点C 顺时针方向旋转至△ A B' C 的位置,且A 、C B'三点在同一条直线上,则点A 所经过的路线的长为8_ n 3B. 8 cmC. 16 —n cmD. cm5、 兀二次方程 x 2 -10x 7=0的左边配成完全平方后所得方程为 .x _5 2 一7 B . x 5 18.x -5 2 =18D . x -5 2 =256、如果关于x 的 兀二次方程 k 2x 2 -(2k 1)x ^0有两个不相等的实数根,那么k 的取值范围是( ) 1 A. k -—4B. k 一丄且 k = 0C. k :: 一丄4 4D. k — -丄且 k = 047、已知△ ABC 的三边分别是 a, b, c ,两圆的半径r . 二a , r 2 = b ,圆心距d = c ,则这两个圆的位置关系是()A .相交B .外切C .内切.相离D11、已知点关于原点对称的点在第一象限,那么掘.的取值范围是13、已知扇形的半径为4cm,圆心角为270°,则扇形的面积为________________ 。
广州市育才实验学校2013学年第一学期期中测试九年级数学试卷(问卷)说明:1.本试卷分为选择题部分和非选择题部分,全卷共三大题25小题,共150分.考试时间120分钟.2.答题前,考生务必将自己的姓名、考生号、考试科目用2B 铅笔涂在答题卡上.3.本卷分“问卷”和“答卷”,本试卷选择题部分必须填在答题卡上,否则不给分;非选择题部分的试题,学生在解答时必须将答案写在“答卷”上指定的位置(方框)内,写在其他地方答案无效,“问卷”上不可以用来答题;4.不准使用计算器。
一、选择题(本大题每题3分,共30分) 1、如果代数式1-x x有意义,那么x 的取值范围是( ) A 、0≥x B 、1≠x C 、0>x D 、10≠≥x x 且 2、平面直角坐标系内一点P (-2,3)关于原点对称的点的坐标是( ) A 、(3,-2) B 、(2,3) C 、(-2,-3) D 、(2,-3) 3、下列图形中,是中心对称的图形有( )①正方形 ; ②长方形 ; ③等边三角形; ④线段; ⑤锐角; ⑥平行四边形。
A 、5个 B 、2个 C 、3个 D 、4个 4、化简a1a -的结果是( ) A 、a - B 、a C 、-a - D 、-a5、关于x 的二次方程01)1(22=-++-a x x a 的一个根是0,则a 的值为( ) A 、1 B 、1- C 、1或-1 D 、21第8题图6、k 为实数,则关于x 的方程2(21)10x k x k +++-=的根的情况是( ) A .有两个不相等的实数根 B .有两个相等的实数根 C .没有实数根 D .无法确定7、把抛物线y =2x 2先向左平移3个单位,再向上平移4个单位,所得抛物线的函数表达式为( ) A .y =2(x+3)2+4 B .y =2(x+3)2-4 C .y =2(x -3)2-4 D .y =2(x -3)2+48、函数y=ax 2+bx+c 的图象如图所示,那么一元二次方程ax 2+bx+c-3=0的根的情况是( )A .有两个不相等的实数根B .有两个异号的实数根C .有两个相等的实数根D .没有实数根9、二次函数y=(x -3)(x +2)的图象的对称轴是( )A .x=3.B .x=-2.C .x=12-D .x=12.10、二次函数c bx ax y ++=2的图象如图所示,则abc ,ac b 42-,b a +2,c b a ++这四个式子中,值为正数的有( )A .1个B .2个C .3个D .4个二、填空题(本大题每题3分,共18分) 11、实数p 在数轴上的位置如图所示,化简=-+-22)2()1(p p ______________.12、188-= .13、点P (2,3)绕着原点逆时针方向旋转90o 与点P /重合,则P /的坐标为 .14、若1x ,2x 是方程210x x +-=的两个根,则2212x x +=___________.15抛物线2)3(94-=x y 与x 轴的交点为A ,与y 轴的交点为B ,则△AOB 的面积为 . 16、某二次函数的图象与x 轴交于点(-1,0),(4,0),且它的形状与抛物线y =-x 2形状相同。
- 1 -ABOxyO ' B '(第9题)第6题BAE DCBOA第16题BADBA OOM第14题2012-2013学年第一学期广州市育才实验学校初三期中测试题数 学命题:苏德杰 审核:严肇宏本试卷共三大题25小题,共2页,满分150分.考试用时120分钟.注意事项:1.答卷前,考生务必在答题卷指定位置处用黑色字迹的钢笔或签字笔填写自己的相关信息. 2.考生必须用黑色字迹的钢笔或签字笔在指定区域内作答,涉及作图的题目,用2B 铅笔画图.不准使用圆珠笔、涂改液.3.考生不可以使用计算器,考试结束后,只需要将答题卷交回.第一部分 选择题(共30分)一、选择题(本大题共10小题,每小题3分,满分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.化简20的结果是( * ) A .5B .102C .54D .522.若1x 、2x 是一元二次方程0652=-+x x 的两个根,则12x x +的值是( * ) A .5- B .1 C .5 D .6- 3.若02|2|=++-y y x ,则2)(xy -的值为( * )A .64B .64-C .16D .16-4.关于x 的一元二次方程013222=+--a x x 的一个根是1-,则a 的值是( * )A .1B .6C .6-D .6± 5.用配方法解方程0822=--x x 时,原方程应变形为( * )A .7)1(2=+x B .7)1(2=-x C .9)1(2=+x D .9)1(2=-x6.如图是圆锥的侧面展开图,其中∠AO B=120°,OA=6,则这个圆锥的侧面积为( * ) A .π8 B .π12 C .π15 D .π207.已知⊙1O 、⊙2O 的半径分别为4cm 、3cm ,两圆的圆心距为7cm ,则它们的位置关系为( * ) A .相交 B .外切 C .相离 D .内切8.如图①~④是四种正多边形的瓷砖图案.其中既是轴对称图形又是中心对称的图形为( * )A .①③B .①④C .②③D .②④9.如图,直线443y x =-+与x轴、y 轴分别交于A 、B 两点,把△AO B绕点A 顺时针旋转90°后得到△A O B '',则点B '的坐标是( * ) A .(3,4) B .(4,5) C .(7,4) D .(7,3)10.如图,在△ABC 中,∠C=90°,AC=8,AB=10,点P 在AC 上,AP=2,若⊙O 的圆心在线段BP 上,且⊙O 与AB 、AC 都相切,则⊙O 的半径是( * ) A .1 B .45 C .712 D .49第二部分 非选择题(共120分)二、填空题(本大题共6小题,每小题3分,满分18分.) 11.若代数式2+x 有意义,则实数x 的取值范围为_ *__.12.已知点),(n m A 关于x 轴的对称点的坐标为)3,2(-,那么点A 关于原点的对称点的坐标为 _ *__.13.在等腰三角形中,若两腰的长是关于x 的方程082=+-m x x 的两根,则=m _*__. 14.如图,已知∠AOB=30°,M 是OA 边上的一动点,以M 为圆心, 2cm 为半径作⊙M ,若⊙M 与射线OB 相切,则此时OM=_ *__cm . 15.已知A 、B 是⊙O 上的两点,且∠AOB=80°,C 是⊙O 上不与点A 、B 重合的一点,则∠ACB 的度数为_ *__. 16.如图,AB 是⊙O 的直径,AB=AC ,BC 交⊙O 于点D ,AC 交⊙O 于点E ,∠BAC=45°。
2014学年上学期广州市第四十七中学期中检测九年级数学注意事项:本试卷共三大题25小题,共4页,满分150分.考试时间120分钟.1.答卷前,考生务必在答题卡第1、3面上用黑色字迹的钢笔或签字笔填写自己的考号、姓名;再用2B 铅笔把对应考号的标号涂黑. 2.选择题和判断题的每小题选出答案后,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;不能答在试卷上.3.填空题和解答题都不要抄题,必须用黑色字迹的钢笔或签字笔作答,涉及作图的题目,用2B 铅笔画图.答案必须写在答题卡各题目指定区域内的相应位置上;如需改动,先划掉原来的答案,然后再写上新的答案;改动的答案也不能超出指定的区域.不准使用铅笔、圆珠笔和涂改液.不按以上要求作答的答案无效.4.必须保持答题卡的整洁,考试结束后,将本试卷和答题卡一并交回.第Ⅰ卷(48分)一、细心选一选(本题有10个小题,每小题3分,满分30分,下面每小题给出的四个选项中,只有一个是正确的.) 1.方程20.49x =的解为( )A .0.7x =B .0.7x =-C .7x =±D .0.7x =± 2.下列图形分别是桂林、湖南、甘肃、佛山电视台的台徽,其中为中心对称图形的是( )DC B A3.抛物线223y x x =--与y 轴交于点A ,则点A 的坐标为( ) A .(1-,0) B .(0,3-) C .(0,3)D .(3,0)4.一元二次方程220x x ++=的根的情况是( ) A .有两个不相等的实数根 B .有两个相等的实数根 C .没有实数根 D .只有一个实数根5.如图,AB 是O ⊙的直径,弦CD AB ⊥于点M ,下面结论不一定成立的是( ) A .CM DM = B .AC AD = C .2AD BD = D .BCD BDC ∠=∠B6.如图,OAB △绕点O 逆时针旋转70︒到OCD △的位置,已知40AOB ∠=︒,则AOD ∠等于( ).DCBA第6题图A .50︒B .30︒C .40︒D .35︒7.将抛物线23y x =+向左平移2个单位,再向下平移3个单位后所得抛物线的解析式为( )A .()22y x =+ B .()226y x =-+ C .26y x =+ D .()22y x -8.某钢铁厂1月份生产某种钢材5万吨,3月份生产这种钢材7.2万吨,设平均每月增长的百分率为x ,则根据题意可列方程为( ) A .()5127.2x += B .()2517.2x += C .()2517.2x += D .()27.215x +=9.已知二次函数()20y ax bx c a =++<的图象如图所示,当50x -≤≤时,下列说法正确的是( )第9题图A .有最小值5-、最大值0B .有最小值3-、最大值6C .有最小值0、最大值6D .有最小值2、最大值610.若二次函数2(0)y ax bx c a =++≠的图象与x 轴有两个交点,坐标分别为(1x ,0),(2x ,0),且12x x <,图象上有一点M (0x ,0y )在x 轴下方,则下列判断正确的是( ) A .0a > B .240b ac -≥ C .102x x x << D .()()01020a x x x x --<二、耐心填一填(本题有6个小题,每小题3分,共18分)11.如图,O ⊙的半径为4cm ,60AOB ∠=︒,则弦AB 的长为______cm .第11题图12.已知11x =-是方程260x x c -+=的一个根,则它的另一个根是2x =______. 13.在平面直角坐标系中,点P (5,3)关于原点对称的点的坐标为______. 14.设α、β是方程2250x x +-=的两个根,则αβ+=______.15.已知二次函数()2321y k x x =-++的图象与x 轴有交点,则k 的取值范围是______. 16.把一副三角板如图甲放置,其中90ACB DEC ∠=∠=︒,45A ∠=︒,30D ∠=︒,斜边6AB =,7DC =,把三角板DCE 绕点C 顺时针旋转15︒得到11D CE △(如图乙),此时AB与1CD 交于点O ,则线段1AD 的长为______.E 1D 1E OCBADCBA图乙图甲第16题图第Ⅱ卷(102分)三、用心答一答(本题共9个小题,共102分.解答要求写出文字说明,证明过程或计算步骤) 17.(本小题满分9分) 解方程:2240x x --= 18.(本小题满分9分)如图,ABC △和DEF △关于某点对称.D FEC BA第18题图(1)在图中画出对称中心O;(2)连结AF、CD,判断四边形ACDF的形状,并说明理由.19.(本小题满分10分)已知抛物线243y x x=-+.(1)该抛物线的对称轴的是直线_______,顶点坐标为_________;(2)选取适当的数据填入下表,并在图中的直角坐标系内描点画出该抛物线的图象;第19题图20.(本小题满分10分)高速公路和的隧道和桥梁最多.如图是一个隧道的横截面,它的形状是以O为圆心的圆的一部分,如果C是O⊙中的弦AB的中点,CD经过圆心O交O⊙于点D,且10AB=米,7CD=米,求O⊙的半径.ODC BA第20题图21.(本小题满分12分)已知:抛物线经过点A (0,1),B (2,7-),C (3-,2-). (1)求抛物线的解析式;(2)求抛物线与直线y x k =-+有且只有一个公共点,求k 的值.22.(本小题满分12分)在美化校园的活动中,某兴趣小组想借助如图所示的直角墙角(两边足够长),用28米的篱笆围成一个矩形花园ABCD (篱笆只围AB ,BC 两边),设AB x =米.DC第22题图(1)若花园的面积为192平方米,求x 的值;(2)若在P 处有一棵树与墙CD ,AD 的距离分别是15米和6米,要将这棵树围在花园内(含边界,不考虑树的粗细),求花园面积S 的最大值. 23.(本小题满分12分)已知:如图,Rt ABC △中,90ACB ∠=︒,5AB =,两直角边AC 、BC 的长是关于x 的方程()2560x m x m -++=的两个实数根,求m 的值及AC 、BC 的长(BC AC >).CBA第23题图24.(本小题满分14分)已知O ⊙的半径为5,点O 到弦AB 的距离3OH =,点P 是圆上一动点,设过点P 且与AB 平行的直线为l ,记直线AB 到直线l 的距离为d .ABH ODC第24题图(1)求AB 的长;(2)如果点P 只有两个进,求d 的取值范围;(3)如果点P 有且只有三个时,求连接这三个点所得到的三角形的面积. 25.(本小题满分14分)如图,已知抛物线243y x x =-+-交x 轴于A 、B 两点(点A 在点B 的左边),交y 轴于C 点.(1)求直线BC 的解析式;(2)已知点M 在线段BC 上运动(不与点B 、C 重合),将OM 绕点O 逆时针旋转90︒到OM '的位置,当点M '落在抛物线上时,求点M '的坐标.(3)将抛物线向左平移三个单位,得到抛物线0y ,已知P (2a ,1y )、M (4a ,2y )、N (7a ,3y )都在抛物线0y 上,是否存在含有1y 、2y 、3y ,且与a 无关的等式?如果存在,试给出一个,并加以证明;如果不存在,说明理由.九年级上数学期中考试试卷 第4页 共4页。
秘密★启用前广州市2014年初中毕业生学业考试数学本试卷分选择题和非选择题两部分,共三大题25小题,满分150分.考试时间120分钟.注意事项:1.答卷前,考生务必在答题卡第1面、第3面、第5面上用黑色字迹的钢笔或签字笔填写自己的考生号、姓名;填写考场试室号、座位号,再用2B铅笔把对应这两个号码的标号涂黑.2.选择题每小题选出答案后,用2B铅笔把答题卡上对应题同的答案标号涂黑;如需改动,用橡皮擦干净后,再选涂其他答案标号;不能答在试卷上.3.非选择题必须用黑色字迹的钢笔或签字笔作答,涉及作图的题目,用2B铅笔画图.答案必须写在答题卡各题目指定区域内的相应位置上;如需改动,先划掉原来的答案,然后再写上新的答案;改动的答案也不能超出指定的区域.不准使用铅笔、圆珠笔和涂改液.不按以上要求作答的答案无效.4.考生必须保持答题卡的整洁,考试结束后,将本试卷和答题卡一并交回.第一部分选择题(共30分)一、选择题(本大题共10小题,每小题3分,满分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.()的相反数是().(A)(B)(C)(D)2.下列图形是中心对称图形的是().(A)(B)(C)(D)3.如图1,在边长为1的小正方形组成的网格中,的三个顶点均在格点上,则().(A)(B)(C)(D)4.下列运算正确的是().(A)(B)(C)(D)5.已知和的半径分别为2cm和3cm,若,则和的位置关系是().(A)外离(B)外切(C)内切(D)相交6.计算,结果是().(A)(B)(C)(D)7.在一次科技作品制作比赛中,某小组八件作品的成绩(单位:分)分别是:7,10,9,8,7,9,9,8.对这组数据,下列说法正确的是().(A)中位数是8 (B)众数是9 (C)平均数是8 (D)极差是78.将四根长度相等的细木条首尾相接,用钉子钉成四边形,转动这个四边形,使它形状改变,当时,如图,测得,当时,如图,().(A)(B)2 (C)(D)图2-①图2-②9.已知正比例函数()的图象上两点(,)、(,),且,则下列不等式中恒成立的是().(A)(B)(C)(D)10.如图3,四边形、都是正方形,点在线段上,连接,和相交于点.设,().下列结论:①;②;③;④.其中结论正确的个数是().(A)4个(B)3个(C)2个(D)1个第二部分 非选择题(共120分)二、填空题(共6小题,每小题3分,满分18分) 11.中,已知,,则的外角的度数是_____.12.已知是∠AOB 的平分线,点P 在OC 上,PD ⊥OA ,PE ⊥OB ,垂足分别为点,,则PE的长度为_____. 13.代数式有意义时,应满足的条件为______.14.一个几何体的三视图如图4,根据图示的数据计算该 几何体的全面积为_______(结果保留).15.已知命题:“如果两个三角形全等,那么这两个三角形的面积相等.”写出它的逆命题:_________,该逆命题是_____命题(填“真”或“假”). 16.若关于的方程有两个实数根、,则的最小值为___.三、解答题(本大题共9小题,满分102分,解答应写出文字说明、证明过程或演算步骤). 17.(本小题满分分) 解不等式:,并在数轴上表示解集.18.(本小题满分分)如图5,平行四边形的对角线相交于点,过点且与、分别交于点,求证:.19.(本小题满分10分)已知多项式.(1)化简多项式; (2)若,求的值.图 4图5某校初三(1)班50名学生需要参加体育“五选一”自选项目测试,班上学生所报自选项目的情况统计表如下: (1)求,的值;(2)若将各自选项目的人数所占比例绘制成扇形统计图,求“一分钟跳绳”对应扇形的圆心角的度数;(3)在选报“推铅球”的学生中,有3名男生,2名女生,为了了解学生的训练效果,从这5名学生中随机抽取两名学生进行推铅球测试,求所抽取的两名学生中至多..有一名女生的概率.21.(本小题满分12分)已知一次函数的图像与反比例函数的图像交于两点,点的横坐标为2.(1)求的值和点的坐标;(2)判断点的象限,并说明理由.22、(本小题满分12分)从广州某市,可乘坐普通列车或高铁,已知高铁的行驶路程是400千米,普通列车的行驶路程是高铁的行驶路程的1.3倍. (1)求普通列车的行驶路程;(2)若高铁的平均速度(千米/时)是普通列车平均速度(千米/时)的2.5倍,且乘坐高铁所需时间比乘坐普通列车所需时间缩短3小时,求高铁的平均速度.自选项目 人数 频率 立定跳远 9 0.18 三级蛙跳 12 一分钟跳绳 8 0.16 投掷实心球 0.32 推铅球 5 0.10 合计501如图6,中,,.(1)动手操作:利用尺规作以为直径的,并标出与的交点,与的交点(保留作图痕迹,不写作法):(2)综合应用:在你所作的圆中,①求证:;②求点到的距离.24.(本小题满分14分)已知平面直角坐标系中两定点A(-1,0),B(4,0),抛物线()过点A、B,顶点为C.点P(m,n)(n<0)为抛物线上一点.(1)求抛物线的解析式与顶点C的坐标.(2)当∠APB为钝角时,求m的取值范围.(3)若,当∠APB为直角时,将该抛物线向左或向右平移t()个单位,点P、C移动后对应的点分别记为、,是否存在t,使得首尾依次连接A、B、、所构成的多边形的周长最短?若存在,求t值并说明抛物线平移的方向;若不存在,请说明理由.25.(本小题满分14)如图7,梯形中,,,,,,点为线段上一动点(不与点重合),关于的轴对称图形为,连接,设,的面积为,的面积为.(1)当点落在梯形的中位线上时,求的值;(2)试用表示,并写出的取值范围;(3)当的外接圆与相切时,求的值.。
广州市育才实验学校2014年初中毕业班综合测试(一)语文试卷第一部分积累与运用(共35分)一、基础知识及语言运用。
(6小题,20 分)1.请选出下列词语中加点字读音正确的一项()(3分)A.褶.皱(zhě)汲.取(jí)峥嵘.(róng)锲.而不舍(qì)B.剽.悍(piāo)荫.蔽(yìn)伫.立(zhù)面面相觑.(qù)C.追溯.(sù)叱咤.(chà)箱箧.(qiè)瘦骨嶙峋.(xún)D.骷髅.(lóu)殷.红(yīn)炽.痛(chì)盛气凌.人(lín)2.下列词语中没有别字的一项是()(3分)A.宫廷大庭广众脉膊旁征博引B.遗憾擎天撼地枯燥戒骄戒燥C.纯粹鞠躬尽瘁撤销销声匿迹D.笨拙相形见绌矫健娇揉造作3.下列句子中加点的词使用正确的一项是()(3分)A.两位阔别多年的老友意外在一条小巷里狭路相逢....,两人又是握手又是拥抱,别提多高兴。
B.前几年,住房价格一涨再涨,令购房者叹为观止....。
C.在全球经济一体化成为大趋势的今天,与国际接轨是一个自强不...息.的民族的必然选择。
D.有德之人不会以权谋私,不会贪污受贿,虽然清贫点,但活得坦荡,没有水落石出....之虑,也没有半夜敲门之惊。
4.下列句子中没有语病的一项是()(3分)A.教育的根本使命,不仅仅是传授给学生在未来生存发展的知识和能力,更重要的是构建学生健全完善的人格。
B.加强对青少年的教育,增强青少年识别和抵制各种错误倾向的能力,是目前中小学思想政治工作的当务之急。
C.是否选择对社会对未来负责的低碳生活方式,是衡量现代人良好文明素质的重要标准。
D.2013年6月12日,正驾乘神舟十号飞船遨游太空的 3 名航天员向全国人民及海外华人送来了端午祝福。
5.对下列公益广告运用的修辞方法的作用理解不正确的是()(3分)A.别踩,我怕疼。
广州市育才实验学校2014年初中毕业班综合测试(一)数学试卷本试卷分选择题和非选择题两部分,共三大题25小题,满分150分.考试时间为120分钟.第一部分 选择题(共30分)一、选择题(本大题共10小题,每小题3分,满分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.计算-(-5)的结果是( ). A.5 B.-5 C.15 D.-152.如右图,小手盖住的点的坐标可能为( )A .(34)-,B . (46)--,C .(63)-,D . (52),3、三沙市是由中国国务院于2012年6月批准设立的地级市,管辖位于中国南海的海南省下的西沙、南沙、中沙三个群岛及周围海洋,面积2600000平方公里,相当于中国领土的四分之一,请用科学记数法表示三沙市面积是( )A .2.6×710平方公里 B .26×610平方公里 C .2.6×610平方公里 D .0.26×710平方公里4.一个正方体的平面展开图如图所示,将它折成正方体后“建” 字对面是( ) A .和B .谐C .广D .州5.只用下列正多边形地砖中的一种,能够铺满地面的是( )A .正十边形B .正八边形C .正六边形D .正五边形6.如图,在□ABCD 中,已知AD =8㎝, AB =6㎝, DE 平分∠ADC 交BC 边于点E ,则BE 等于( ) A .2cm B .4cm C .6cm D .8cm7.为了解某班学生每天使用零花钱的情况,小红随机调查了15名同学,结果如下表:则这15名同学每天使用零花钱的众数和中位数分别为( ) A .3,3 B .2,3 C .2,2 D .3,58.酒店厨房的桌子上摆放着若干碟子,分别从三个方向上看,其三视图如图所示,则桌子上共有碟子( )A.17个 B.12个 C.10个D.7个(第2题图)yxOABCD(第6题图)E建 设和 谐 广州 (第4题图)正视图侧视图 左视图主视图9、在综合实践活动课上,小明同学用纸板制作了一个圆锥形漏斗模型.如图所示,它的底面半径6cm OB =,高8cm OC =.则这个圆锥漏斗的侧面积是( ) A .230cm B .230cm π C .260cm π D .2120cm10.如图,在Rt ABC △中,9068C AC BC O ∠===°,,,⊙为ABC △的内切圆,点D 是斜边AB 的中点,则tan ODA ∠=( )A .2 BC.3 D.2第二部分 非选择题 (共120分)二、填空题(本大题共6小题,每小题3分,满分18分.)11.已知两圆的半径分别是2和3,圆心距为5,那么这两圆的位置关系是 。
2014学年第一学期初三数学期中考试试卷(3中)第一部分选择题(共30分).选择题(本大题共 10小题,每小题 只有一项是符合题目要求的。
)1.下面图形中,既是轴对称图形又是中心对称图形的是( )A.(1,4)B.(-1,4)C(1,-4)D(-13.方程 2x ( x-3)=5( x-3 )的根为()4. 如图,点 A 、B 、C 在O O 上,AO// BC / OAC=20,则/ AOB2 .5. 一兀二次方程x +x-2=0的根的情况是(A.有两个不相等的实数根B. 有两个相等的实数根C.只有一个实数根D.没有实数根6. O O 的半径为3,圆心O 到直线I 的距离为3,则直线I 与O O 的位置关系是()A.相交B. 相切C. 相离D. 无法确定7.S 型电视机经过连续两次降价,每台售价由原来的1500元降到了 980元.设平均每次降价的百分率为x,则下列方程中正确的是()2C .1500 (1-x ) =980 D.98028. 二次函数y=ax +bx+c (a = 0)的图象如图所示,则下列结论A.10oB.20 °C.40° D.70°3分,满分30分。
在每小题给出的四个选项中,线2 -4标y=,-4)5A.X= 2B.X=3C. x551= 2 , x 2=3 D. x1 =-2 , x 2 =-32A.1500 (1+x )=980B.980 2(1+x ) =15002(1-x )=15002.抛物 (x+1)C的度数是(④ a+b+c v 0, ① a > 0; ② c > 0; 2③ b -4ac > 0;其中正确的个数是()9.如图,在正方形ABCD中,E 为DC边上的点,连接BCE绕点C顺时针方向旋转90°得到△ DCF连接EF,若/ BEC=60,则/ EFD的度数为()A.10B. 15C. 20D. 2510.如图,AB是O O的直径,AB=2,点C在O O上,/ CAB=30 ,D为弧BC的中点,P是直径AB 上一动点,则PC+PD勺最小值为()A .2 2 B. 2 C.1 D.2第二部分非选择题(共120 分).填空题(本小题共6小题,每小题3分,满分18分)211.一元二次方程 3 x =5x-1的二次项系数是____________ , 一次项系数是212.二次函数y=2 x的图象向上平移1个单位,再向右平移3个单位,所得抛物线的解析式为___________________。
广州市育才实验学校2014学年第一学期期中测试\九年级英语试卷(时间:120分钟满分:135分)二、语言知识及运用(共两节,满分20分)第一节单项选择(共10小题;每小题1分,满分10分)16.—Is it stamp I’ve told you about?—Yes, isn’t it nice one?A. a; aB. a; theC. the; aD. the; the17. The medicine tastes , but works .A. bitter; well.B. bitter; goodC. bitterly; wellD. bitterly; good18. —Did it take you a lot of time English last weekend?—No, I went to the countryside to see my grandmother.A. practising speakingB. to practise speakingC. practising to speakD. to practise to speak19. Millie hardly did the housework after she bought the robot, ?A. did MillieB. didn’t sheC. didn’t MillieD. did she20.—good time we had at the party last night.—Yes.It was exciting party that I would never forget it.A. What; soB. How; suchC. What a; such anD. How a; so an21. At present, one of the best ways to study is working in groups. More chances to students to learn from each other..A. offerB. are offeredC. have offeredD. are offering22.—Yesterday Tommy walked past my table and my bowl and dishes.—He should be careful next time.A. knocked offB. took offC. showed offD. turned off23.—has Mr Brown lived in Guangzhou?.—She’s lived here 2008.A. When; sinceB. How long; beforeC. When; beforeD. How long; since24.—Do you like communicating with your friends on QQ or MSN?—. I’d rather my mobile phone.A. Either; useB. Neither; useC. Both; not to useD. Neither; to use25.—Mum, can I have something ?—Oh, dear. You can only drink some water. There is in the kitchen.A. to drink; nothing elseB. drinking; something elseC. to eat; something elseD. eating; nothing else第二节语法选择(共10小题,每小题1.5分,满分15分)As teenagers, you have many dreams. These dreams can be very big, such as winning the Nobel Prize,26 they can be small. You may just want to become one of the ten best students in your class.Once you find a dream,what do you do with it?Do you ever try to make your dream 27 ?Follow Your Heart, by Australian writer Andrew Matthews, tells us that making our dreams real is life’s biggest challenge.You may think you’re not very good at some school subjects, or that it is impossible for you 28 a writer. These kinds of thoughts prevent you from reaching your dream, the book says.In fact, every one can make 29 dream come true. 30 first thing you must do is to remember the dream in your mind.Don’t let it leave your heart. Keep 31 yourself what you want. Do this step by step and your dream will come true faster because a big dream is, in fact, made up of many small ones.There 32 difficulties on the road to your dreams. But the biggest one 33 from yourself. You need to decide what is the most important. Studying instead of watching TV will lead 34 better exam results, while saving five yuan instead of buying an ice cream means you can buy a new book.As you get 35 to your dream, it may change a little. This is good as you have the chance to learn more skills and find new interests.26. A. as B. but C. for D. or27. A. real B. reality C. really D. realize28. A. becomes B. to become C. becoming D. become29. A. his B. its C. their D. him30. A. A B. Some C. The D. /31. A. to tell B. tells C. telling D. told32. A. will be B. will have C. have D. has33. A. come B. has come C. came D. comes34. A. by B. to C. in D. with35. A. closely B. closing C. closed D. closer三、完型填空(共10小题;每小题1分,满分10分)But I feel good doing this!” the little boy’s voice rang in my ears when I entered the mall. He stood raising36 for cancer research. In the cold wind, he pulled his hat down over his ears. He warmed one hand in his pocket and held a list with the other hand. I noticed him greeting the people passing by 37 gloves on his hands.I checked my purse but I didn’t find any change. I was 38 ready to give money because I wished cancer could be cured (治愈) one day.“I’ll bring you some money when I returned”, I 39 the little boy.“Thank you!” he smiled and he seemed almost 40 in the cold air. I suggested he come inside the mall, but he said, “The guard there said 41 is allowed to raise money for charities (慈善机构) in the mall. But I feel good doing this here. It’s OK.”I did my shopping and 42 about buying something for him. Finally, I bought a pair of gloves, brown ones. The cashier (收银员) felt curious when I 43 the boy’s words “But I feel good doing this!”The boy still stood where he had been. I offered some money to him and filled in the list that he handed to me. Then he told me that his best friend George had leukemia (白血病). He did this in order to help him out of trouble.With tears full of my eyes, I put the gloves that I bought for him into his hands.“Will the cancer research give you something to thank you for doing this?”“Oh yes!” the boy said and his eyes 44 up with joy, “They sure do! Now I can stand here much45 than I expected!”“What do you receive then?” I asked. He answered with a smile, “I get another new, empty list.”36. A. cards B. money C. bottles D. information37. A. without B. except C. into D. from38. A. never B. seldom C. sometimes D. always39. A. cheated B. refused C. promised D. praised40. A. relaxed B. bored C. frozen D. pleased41. A. everyone B. anyone C. someone D. no one42. A. thought B. worried C. talked D. cared43. A. introduced B. repeated C. heard D. kept44. A. lit B. came C. caught D. took45. A. lower B. less C. earlier D. longer四、阅读理解(共15小题,每小题2分,满分30分)(A)Martin Lynch, an American businessman, had been going on vacation to a small Mexican fishing village for a number of years. One morning while going for a walk along the beach, he saw his friend Pablo Perez, a local fisherman. Martin watched Pablo unload his boat and pack the fish in a box.Martin noticed Pablo was smiling and looked very happy. He could also see several large fish in the boat. Martin greeted Pablo and asked how long it took to catch the fish. “Just a few hours,” replied Pablo. Martin asked, “Why didn’t you stay longer and catch more fish?” “I have enough for my family,” Pablo said. “And what do you do with the rest of your day?” asked Martin. “I take a nap, play with my children, spend ti me with my wife, and go into the village to see my friends and play cards, I have a full and busy life.” Martin explained that if Pablo worked longer hours and caught more fish, he could make more money. With the extra money, Pablo could buy more boats and catch money more fish. By selling the fish, Pablo could open his own factory and sell direct to supermarkets.“Then what?” asked Pablo. “Well you would probably have to move to Mexico City to run the business. Finally, you would be able to sell your b usiness and make millions of dollars,” replied Martin. “How long will that take?” asked Pablo.Martin thought for a while and said it would probably take at least 15 years. “And then what” asked Pablo.“Well, that’s the best part,” Martin said. “You w ill be able to retire, buy a house near the ocean, sleep longer, play with your children, spend more time with your wife, see your friends, and play cards.”46. What is the story mainly about?A. A businessman and a fisherman have become friends.B. A businessman learns how to fish from a fisherman.C. A businessman wants to become a businessman.D. A businessman gives advice to a fisherman.47. What makes the Mexican fisherman happy is ______________.A. many friends to visit himB. a full and busy lifeC. more boats and more fishD. the house near the ocean48. How can the fisherman make more money in the businessman’s view?A. By buying a supermarket.B. To move to Mexico City.C. By selling his own business.D. To work longer and catch more fish.49. The underlined word “unload” in the passage means ____________.A. put … intoB. take … away fromC. break downD. set off50. We can infer from the passage that ____________.A. the fisherman will stay the same with his lifeB. the fisherman will leave the village for Mexico CityC. the business man will buy the fisherman’s boatD. it takes all day for the fisherman to catch large fish(B)It is true that people with better education are usually able to get better paying jobs. In other words, they have more chances to choose a good job while people with little or no education don’t. It seems that the purpose of education is to make people get jobs. But this isn’t accepted by all people.Some people may think that a person should spend the best years of his life to get education only for a way of living. This was probably one of the earliest reasons of education. In fact, if education is just a way of making a living, people don’t need to spend so much time in school. People can get education for a living in a short time. Subjects like history and geography need not be taught to everyone. Even language and mathematics need not be taught in detail, either. Here it is clear that education is much more than teaching a man to get a way of living.Education is well-rounded and it is mainly for improving a man. It is not only to teach him to speak, read and write, but also to develop his creative thinking and other abilities. After that, it is to make him a wise man and thankfully enjoy the achievements of human. Education is to make a man lead a better life. Educated people are expected to be able to listen to good music, read good books, watch plays and most of all take an interest in the world.I would agree that making a good living is an important reason for education, but certainly not the most important or the main reason.51. People with little education usually ____.A. spend a long time in schoolB. have a good chance to get a jobC. spend the best years to choose jobsD. have fewer chances to get a good job52. The earliest education was probably to ______.A. make a man lead a better lifeB. teach a man to write and thinkC. make people get a way of livingD. teach people to read good books53. The underlined word “well-rounded” in the passage means “_______” in Chinese.A. 圆满的B. 崭新的C.公平的D. 全面的54. It is expected that educated people will be able to _____.A. accept education as a way of livingB. take an interest in the whole worldC. develop their abilities to make playsD. learn subjects like language and math55. The passage mainly tells us that _______.A. education should make a man improveB. people can get education in a short timeC. people should be able to get better paying jobsD. all subjects are so important for a way of living(C)Harry Houdini was an expert on magic and escape tricks, Houdini’s real name was Ehrich Weiss. Born in Hungary in 1874, he came to America as a baby. In America, people called him Harry.When he was a teenager, Harry worked as an assistant tie cutter. In his free time, he learned magic tricks. He read a book by Robert Houdin, a great magician. This book had a great effect on him. Harry admired Houdin so much that he changed his name to Houdini. Then, at 17, he quit his job and became a full-time magician.He performed in circuses(马戏团) and small shows. He wasn’t very successful until he met Martin Beck, a famous producer. Beck told Houdini to focus on doing escape tricks. Soon Houdini was a huge success. And his most famous trick was the Water-Torture Cell.To advertise his act, Houdini performed escapes from many public places. For example, in 1906 he went to a jail. He was handcuffed and his legs were put in irons. He was then locked up in a small room. Minutes later he escaped.Houdini was a wonderful magician. In his best-known act, he swallowed two packages of needles and some thread(线). After drinking some water, he opened his mouth. Evenly threaded needles came out. No wonder he was called the Great Houdini!56. Who helped Houdini to become a successful magician?A. Ehrich WeissB. Robert HoudiniC. His friendsD. Martin Beck57. What is the meaning of the underlined word “quit” in paragraph 2?A. gave upB. kept onC. stuck toD. complained about58. Houdini became successful because ________.A. he was very lucky.B. Beck gave him much money.C. he worked hard and gained help from others.D. he performed escapes from many public places.59. Which of the following is true according to the passage?A. Harry Houdini was born and grew up in Hungary.B. His most famous trick was the Water-Torture Cell.C. He failed to escape from a small room in 1906.D. In his best-known act, he truly swallowed some needles and thread.60. In what order did these events take place in Houdini’s life?a. He met a famous producer called Martin Beck.b. He worked as an assistant tie cutter.c. He escaped from a jail successfullyd. When he was a little boy, he came to America.e. He changed his name to Houdini.A. d-b-a-e-cB. d-b-e-a-cC. e-a-b-d-cD. e-b-d-a-c(D)School activities for kids and teensJuly is a month of fun-filled activities for kids and teens as long as you know where to find them. When you want some fun activities for July, consider these ideas happening in this month.61. Alec is strongly interested in space life. He may go to _______. A.Magic ClassB. Science with MeC. The Search for LifeD. Secret of the Dragon62.John and his 10-year-old son want to watch Secret of the Dragon. How much should they pay?A. $7.40B. $11.10C. $14.80D. $23.2063.Rita plans to join Magic Class. She may learn about _______.A. real magicB. making coinsC. magic storiesD. holding parties64.According to the next, making a guitar needs the things except _______.A. a piece of woodB. a hammerC. some nailsD. ring ropes65.What do the four activities have in common?A. They are all free.B. They happen in the same place.C. They can all be booked by phone.D. They are all weekend activities.五、写作(共四节,满分35分)第一节单词拼写(共5小题,每小题1分,满分5分)66. The man can’t be t to do the important job because he always tells lies.67. It is very p of you to say hello to others when you pick up the phone.68. He tried to sell our vegetables early by r the price..69. A thin person always s to be taller than he really is.70. Being tall gives Peter an a over the other basketball players.第二节完成句子(共5小题,每小题2分,满分10分)71. 为了保持健康,他向医生寻求建议。
广州市育才实验学校2013-2014学年第一学期期中测试 九年级数学试卷(问卷)
说明:
1.本试卷分为选择题部分和非选择题部分,全卷共三大题25小题,共150分.考试时间120分钟.
2.答题前,考生务必将自己的姓名、考生号、考试科目用2B 铅笔涂在答题卡上. 3.本卷分“问卷”和“答卷”,本试卷选择题部分必须填在答题卡上,否则不给分;非选择题部分的试题,学生在解答时必须将答案写在“答卷”上指定的位置(方框)内,写在其他地方答案无效,“问卷”上不可以用来答题;
4.不准使用计算器。
一、选择题(本大题每题3分,共30分) 1、如果代数式
1
-x x
有意义,那么x 的取值范围是( ) A 、0≥x B 、1≠x C 、0>x D 、10≠≥x x 且 2、平面直角坐标系内一点P (-2,3)关于原点对称的点的坐标是( ) A 、(3,-2) B 、(2,3) C 、(-2,-3) D 、(2,-3) 3、下列图形中,是中心对称的图形有( )
①正方形 ; ②长方形 ; ③等边三角形; ④线段; ⑤锐角; ⑥平行四边形。
A 、5个 B 、2个 C 、3个 D 、4个 4、化简a
1
a -
的结果是( ) A 、a - B 、a C 、-a - D 、-a
5、关于x 的二次方程01)1(2
2
=-++-a x x a 的一个根是0,则a 的值为( ) A 、1 B 、1- C 、1或-1 D 、
2
1
第8题图
6、k 为实数,则关于x 的方程2(21)10x k x k +++-=的根的情况是( ) A .有两个不相等的实数根 B .有两个相等的实数根 C .没有实数根 D .无法确定
7、把抛物线y =2x 2
先向左平移3个单位,再向上平移4个单位,所得抛物线的函数表达式为( )
A .y =2(x+3)2
+4 B .y =2(x+3)2
-4 C .y =2(x -3)2
-4 D .y =2(x -3)2
+4
8、函数y=ax 2
+bx+c 的图象如图所示,那么一元二次方程ax 2
+bx+c-3=0的根的情况是( )
A .有两个不相等的实数根
B .有两个异号的实数根
C .有两个相等的实数根
D .没有实数根
9、二次函数y=(x -3)(x +2)的图象的对称轴是( )
A .x=3.
B .x=-2.
C .x=12-
D .x=12
. 10、二次函数c bx ax y ++=2的图象如图所示,则abc ,ac b 42
-,
b a +2,
c b a ++这四个式子中,值为正数的有( )
A .1个
B .2个
C .3个
D .4个
二、填空题(本大题每题3分,共18分) 11、实数p 在数轴上的位置如图所示,
化简=-+
-22
)2()1(p p ______________.
12、188-= .
13、点P (2,3)绕着原点逆时针方向旋转90o 与点P /重合,则P /
的坐标为 . 14、若1x ,2x 是方程2
10x x +-=的两个根,则2212x x +=___________. 15抛物线2)3(9
4
-=
x y 与x 轴的交点为A ,与y 轴的交点为B ,则△AOB 的面积为 . 16、某二次函数的图象与x 轴交于点(-1,0),(4,0),且它的形状与抛物线y =-x 2
形状相同。
则这个二次函数的解析式为 .
O x
y
-1
1
第10题图
7
4
D
A
F
C
B
E
三、解答题(本大题分9小题,共102分) 17、(每小题5分,共10分)计算:
(1)1313231211
0-+-+⎪⎭
⎫
⎝⎛+⎪⎭⎫ ⎝⎛-- (2)
23312(31)433+-+++
18、(每小题5分,共10分)解方程:
(1)2
36120x x --= (2)(21)(2)3x x ++=
19、(8分)先化简,再求值:1
)121(2-÷---x x
x x x x ,其中3-=x .
20、(10分)四边形ABCD 是正方形,△ADF 旋转一定角度后得到△ABE ,如图所示,如果AF=4,AB=7,
(1)写出旋转中心和旋转角度的大小; (2)求DE 的长度;
(3)BE 与DF 的位置关系如何?并说明理由。
21、(12分)已知关于x 的方程2
(1)(23)10k x k x k -+-++=有两个不相等的实数根
21x x 、.
(1)求k 的取值范围.
(2)是否存在实数k ,使方程的两实数根互为相反数?
22、(12分)百货商店服装柜在销售中发现:某品牌童装平均每天可售出20件,每件盈利40元.为了迎接“六一”国际儿童节,商场决定采取适当的降价措施,扩大销售量,增加盈利,减少库存.经市场调查发现:如果每件童装降价1元,那么平均每天就可多售出2件.要想平均每天销售这种童装盈利1200元,那么每件童装应降价多少元?
23、(12分)方芳在一次投掷铅球时,刚出手时铅球离地面的高度为3
5
m ,铅球运行的水平距离为4m 时达到最高,高度为3m ,如图所示:
(1)请确定这个抛物线的顶点坐标; (2)求抛物线的函数关系式; (3)方芳这次投掷成绩大约是多少?
24、(14分)已知抛物线y=x 2+(2n-1)x+n 2-1 (n 为常数).
(1)当该抛物线经过坐标原点,并且顶点在第四象限时,求出它所对应的函数关系式; (2)设A 是(1)所确定的抛物线上位于x 轴下方、且在对称轴左侧的一个动点,过A 作x 轴的平行线,交抛物线于另一点D ,再作AB ⊥x 轴于B ,DC ⊥x 轴于C.
①当BC=1时,求矩形ABCD 的周长;
②试问矩形ABCD 的周长是否存在最大值?如果存在,请求出这个最大值,并指出此时A 点的坐标;如果不存在,请说明理由.
25、(14分)已知抛物线y =-x 2
+mx -m +2.
(1)若抛物线与x 轴的两个交点A 、B 分别在原点的两侧,并且AB =5,试求m 的值; (2)设C 为抛物线与y 轴的交点,若抛物线上存在关于原点对称的两点M 、N ,并且 △MNC 的面积等于27,试求m 的值.
x
y
O A B。