浙江省扬州中学教育集团树人学校2013-2014学年九年级数学第一次模拟考试试卷

2013年江苏省扬州市树人学校中考数学模拟卷适用年级：九年级建议时长：0分钟试卷总分：150.0分一、选择题（本题共8个小题，每小题3分，共24分）1.（2013扬州，1）下列运算正确的是（）（3.0分）(单选)A. a³+a³=aB. 2（a+b）=2a+bC. =ab﹣2D. ÷a²=a2.（2013扬州，2）如图，图中的几何体中，它的左视图是（）（3.0分）(单选)A.B.C.D.3.（2013扬州，3）如果a＞b，c＜0，那么下列不等式成立的是（）（3.0分）(单选)A. a+c＞b+cB. c﹣a＞c﹣bC. ac＞bcD.4.（2013扬州，4）在下列四组点中，可以在同一个正比例函数图象上的一组点是（）（3.0分）(单选)A. （2，﹣3）（﹣4，6）B. （﹣2，3），（4，6）C. （﹣2，﹣3），（4，﹣6）D. （2，3），（﹣4，6）5.（2013扬州，5）在数学活动课上，老师和同学们判断一个四边形门框是否为矩形，下面是某合作学习小组的4位同学拟定的方案，其中正确的是（）（3.0分）(单选)A. 测量对角线是否相互平分B. 测量两组对边是否分别相等C. 测量一组对角是否都为直角D. 测量其中四边形的三个角都为直角6.（2013扬州，6）小明在九年级进行的六次数学测验成绩如下（单位：分）：76、82、91、85、84、85，则这次数学测验成绩的众数和中位数分别为（）（3.0分）(单选)A. 91，88B. 85，88C. 85，85D. 85，84.57.（2013扬州，7）已知两圆的直径分别是4和10，圆心距为7，则这两圆的位置关系是（）（3.0分）(单选)A. 相交B. 外切C. 外离D. 内含8.（2013扬州，8）如图，∠MON=90°，矩形ABCD的顶点A、B分别在边OM，ON上，当B在边ON上运动时，A随之在边OM上运动，矩形ABCD的形状保持不变，其中AB=2，BC=1，运动过程中，点D到点O的最大距离为（）（3.0分）(单选)A. +1B.C.D.二、填空题（本题共10个小题，每小题3分，共30分）1.（2013扬州，9），π，﹣4，0这四个数中，最大的数是____．（3.0分）2.（2013扬州，10）9的算术平方根是____（3.0分）3.（2013扬州，11）如图所示，AB∥CD，∠ABE=66°，∠D=54°，则∠E的度数为 ____（3.0分）4.（2013扬州，12）若关于x的方程x﹣2x﹣m=0有两个相等的实数根，则m的值是 ____（3.0分）5.（2013扬州，13）若甲，乙两个芭蕾舞团参加演出的女演员人数相同，平均身高相同，身高的方差分别为=1.5，=2.5，则____芭蕾舞团参加演出的女演员身高更整齐（填：“甲”或“乙”）．（3.0分）6.（2013扬州，14）写出一个你喜欢的实数k的____，使得反比例函数y=的图象在每一个象限内，y随x的增大而增大．（3.0分）7.（2013扬州，15）如图，在四边形ABCD中，E、F分别是AB、AD的中点，若EF=2，BC=5，CD=3，则tanC= ____（3.0分）8.（2013扬州，16）在猜一商品价格的游戏中，参与者事先不知道该商品的价格，主持人要求他从图中的四张卡片中任意拿走一张，使剩下的卡片从左到右连成一个三位数，该数就是他猜的价格．若商品的价格是360元，那么他一次就能猜中的概率是 ____（3.0分）9.（2013扬州，17）以数轴上的原点O为圆心，3为半径的扇形中，圆心角∠AOB=90°，另一个扇形是以点P为圆心，5为半径，圆心角∠CPD=60°，点P在数轴上表示实数a，如图．如果两个扇形的圆弧部分（和）相交，那么实数a的取值范围是 ____（3.0分）10.（2013扬州，18）有若干张边长都是2的四边形纸片和三角形纸片，从中取一些纸片按如图所示的顺序拼接起来（排在第一位的是四边形），可以组成一个大的平行四边形或一个大的梯形．如果所取的四边形与三角形纸片数的和是5时，那么组成的大平行四边形或梯形的周长是 ____；如果所取的四边形与三角形纸片数的和是n，那么组成的大平行四边形或梯形的周长是____（3.0分）三、解答题：（本题共10个小题，共96分）1.（2013扬州，19）解方程：．（8.0分）2.（2013扬州，20）先化简，再求值：，其中．（8.0分）3.（2013扬州，21）小刚很擅长球类运动，课外活动时，足球队、篮球队都力邀他到自己的阵营，小刚左右为难，最后决定通过掷硬币来确定．游戏规则如下：连续抛掷硬币三次，如果三次正面朝上或三次反面朝上，则由小刚任意挑选两球队；如果两次正面朝上一次正面朝下，则小刚加入足球阵营；如果两次反面朝上一次反面朝下，则小刚加入篮球阵营．（1）用画树状图的方法表示三次抛掷硬币的所有结果；（2）小刚任意挑选两球队的概率有多大？（3）这个游戏规则对两个球队是否公平？为什么？（8.0分）4.（2013扬州，22）如图1，正方形ABCD是一个6x6网格电子屏的示意图，其中每个小正方形的边长为1．位于AD中点处的光点P按图2的程序移动．（1）请在图1中画出光点P经过的路径；（2）求光点P经过的路径总长（结果保留π）．（10.0分）5.（2013扬州，23）钓鱼岛自古就是中国的领土，中国有关部门已对钓鱼岛及其附属岛屿开展常态化监视监测．一日，中国一艘海监船从A点沿正北方向巡航，其航线距钓鱼岛（设M，N为该岛的东西两端点）最近距离为12海里（即MC=12海里）．在A点测得岛屿的西端点M在点A的东北方向；航行4海里后到达B 点，测得岛屿的东端点N在点B的北偏东60°方向，（其中N，M，C在同一条直线上），求钓鱼岛东西两端点MN之间的距离．（8.0分）6.（2013扬州，24）已知：如图，D是△ABC的边AB上一点，CN∥AB，DN交AC于点M，MA=MC．①求证：CD=AN；②若∠AMD=2∠MCD，求证：四边形ADCN是矩形．（10.0分）7.（2013扬州，25）如图，三角形ABC的两个顶点B、C在圆上，顶点A在圆外，AB、AC分别交圆于E、D两点，连接EC、BD．（1）求证：△ABD∽△ACE；（2）若△BEC与△BDC的面积相等，试判定三角形ABC的形状．（10.0分）8.（2013扬州，26）如图1，A，B，C为三个超市，在A通往C的道路（粗实线部分）上有一D点，D与B有道路（细实线部分）相通．A与D，D与C，D与B 之间的路程分别为25km，10km，5km．现计划在A通往C的道路上建一个配货中心H，每天有一辆货车只为这三个超市送货．该货车每天从H出发，单独为A送货1次，为B送货1次，为C送货2次．货车每次仅能给一家超市送货，每次送货后均返回配货中心H，设H到A的路程为xkm，这辆货车每天行驶的路程为ykm．（1）用含的代数式填空：当0≤x≤25时，货车从H到A往返1次的路程为2xkm，货车从H到B往返1次的路程为 km，货车从H到C往返2次的路程为 km，这辆货车每天行驶的路程y= ．当25＜x≤35时，这辆货车每天行驶的路程y= ；（2）请在图2中画出y与x（0≤x≤35）的函数图象；（3）配货中心H建在哪段，这辆货车每天行驶的路程最短？（10.0分）9.（2013扬州，27）已知二次函数y=x+bx+c中，函数y与自变量x的部分对应值如下表：（12.0分）10.（2013扬州，28）如图，四边形OABC是一张放在平面直角坐标系中的矩形纸片，点A在x轴上，点C在y轴上，将边BC折叠，使点B落在边OA的点D 处．已知折叠CE=5，且tan∠EDA=．（1）判断△OCD与△ADE是否相似？请说明理由；（2）求直线CE与x轴交点P的坐标；（3）是否存在过点D的直线l，使直线l、直线CE与x轴所围成的三角形和直线l、直线CE与y轴所围成的三角形相似？如果存在，请直接写出其解析式并画出相应的直线；如果不存在，请说明理由．（12.0分）。

绍兴市树人中学2013-2014学年第一学期期中学业评价九年级数学试卷第Ⅰ卷（选择题 共40分）一、选择题：（本大题共10小题，每小题4分，共40分） 在每小题给出的四个选项中，只有一项是符合题意．．．．．．．．．的，请把你认为正确的选项填写在刮号内．．．． 1．函数ky x =的图象经过点(12)A ，，则k 的值为( ) A ．12 B ．12- C ．2 D ．2-2．把二次函数122--=x x y 配方成顶点式为( )A ．2)1(-=x yB ．2)1(2--=x yC ．1)1(2++=x yD ．2)1(2-+=x y3.正比例函数y kx =的图象与反比例函数my x=的图象有一个交点的坐标是（12--，），则另一个交点的坐标为( )A ．（2，1）B ．（1，-2）C ．（-1，2）D ．（1，2）4．将二次函数2x y =的图象向左平移1个单位，再向上平移2个单位后，所得图象的函数表达式是( )A.2)1(2+-=x yB.2)1(2++=x y C.2)1(2--=x y D.2)1(2-+=x y5．如图，冰淇淋蛋筒下部呈圆锥形，则蛋筒圆锥部分包装纸的面积(接忽略不计)是( ) A.20cm 2B.40cm 2C.20πcm 2D.40πcm 26．如图，等边△OAB 的边OB 在x 轴的负半轴上，双曲线ky x=过OA 的中点C ，已知等边三角形的边长是4，则该双曲线的表达式为( )A. y x =-B. y x=C. y =y =7. 如图，AD 为⊙O 的直径，作⊙O 的内接正三角形ABC ．甲、乙两人的 作法分别如下：对于甲、乙两人的作法，可判断( )A ．甲、乙均正确B ．甲、乙均错误C ．甲正确，乙错误D ．甲错误，乙正确8. 如下图是一副眼镜镜片下半部分轮廓对应的两条抛物线关于y 轴对称.AB ∥x 轴，4AB cm =，最低点C 在x 轴上，高1,2CH cmBD cm ==,则右轮廓线DFE 所在抛物线的函数解析式为( )A ．2)3(41+=x y B ．2)3(41+-=x y C ．2)3(41--=x y D ．2)3(41-=x y9．如图，点A 是反比例函数my x=（m 是常数，0x ）上的一个动点，过点A 作x 轴、y 轴的平行线交反比例函数ky x =（k 为常数，0k ）于点B 、C ．当点A 的横坐标逐渐增大时，三角形ABC 的面积( ) A.先变大再变小 B.先变小再变大 C ．不变 D ．无法判断 10. 小敏在今年的校运动会跳远比赛中跳出了满意一跳，函数23.5 4.9h t t =-（的单位：秒，h 的单位：米）可以描述他跳跃时重心高度的变化，则他起跳后到重心最高时所用的时间是（ ） A.0.71s B.0.70s C.0.63s D.0.36s第Ⅱ卷（非选择题 共110分）甲：1. 作OD 的中垂线，交 ⊙O 于B ，C 两点．2. 连结AB ，AC ． ❒ABC 即为所求作的三角形． 乙：1. 以D 为圆心，OD 长为半径作圆弧，交⊙O 于B ，C 两点． 2. 连结AB ，BC ，CA ． ❒ABC 即为所求作的三角形．注意事项：请用钢笔或圆珠笔直接答在试卷上．二、填空题：（本大题共6小题，每小题5分，共30分）11．请写出一个图象位于第二、四象限的反比例函数解析式： 12. 如图，AB 是⊙O 的直径，C 、D 、E 都是⊙O 上的点，则∠1＋∠2的度数是 ．13．教练对小明推铅球的录像进行技术分析，发现铅球行进高度y （米）与水平距离x （米）之间的关系为3)4(1212+--=x y ，由此可知铅球推出的距离是 米． 14. 某中学在校内安放了几个圆柱形饮水桶的木制支架（如图①），若不计木条的厚度，其俯视图如图②所示，已知AD 垂直平分BC ，AD=BC=40cm ，则圆柱形饮水桶的底面半径的最大值是 cm.15. 在平面直角坐标系中，O 是原点，A 是x 轴上的点，将射线OA 绕点O 旋转，使点A 与双曲线y =上的点B 重合，若点B 的纵坐标是1，则点A 的横坐标是 ． 16.如图，一段抛物线1:C (3)(03)y x x x =--≤≤与x 轴交于点O ，1A ；将1C 向右平移得第2段抛物线2C ，交x 轴于点12,A A ；再将2C 向右平移得第3段抛物线3C ，交x 轴于点23,A A ；又将3C 向右平移得第4段抛物线4C ，交x 轴于点34,A A ，若(11,)P m 在4C 上，则m 的值是 ．三、解答题（本大题有8小题,第17～20小题每小题8分,第21小题10分,第22,23小题每小题12分,第24小题14分,共80分.解答需写出必要的文字说明、演算步骤或证明过程） 17.已知抛物线224y x x =+.第13题图（1）通过配方，将抛物线的表达式写成2()y a x h k =++的形式（要求写出配方过程）； （2）求出抛物线的对称轴和顶点坐标.18. 已知，一次函数1y x =+的图象与反比例函数ky x=(0)k ≠的图象都经过点(,2)A a ．（1）求a 的值及反比例函数的表达式；（2）判断点2B 是否在该反比例函数的图象上，请说明理由．19．如图，已知抛物线222y x x =-+与y 轴交于点A .（1）平移该抛物线使其经过点A 和点B （2,0），求平移后的抛物线解析式； （2）求该抛物线的对称轴与（1）中平移后的抛物线对称轴之间的距离.20. 某校为了解决学生停车难的问题，打算新建一个自行车车棚，图1是车棚的示意图（尺寸如图所示），车棚顶部是圆柱侧面的一部分，其展开图是矩形．图2是车棚顶部的截面示意图，弧AB 所在圆的圆心为O ，半径OA 为3米. （1）求AOB ∠的度数；（2）学校准备用某种材料制作车棚顶部，请你算一算，需该种材料多少平方米？（不考虑接缝等因素，结果精确到1平方米）.（第2 1.73,≈π取3.14）21.如图，曲线C 是函数xy 6=在第一象限内的图象，抛物线是函数422+--=x x y 的图象．点),(y x P n （12n =，，）在曲线C 上，且x y ，都是整数． （1）求出所有的点()n P x y ，；（2）在n P 中任取两点作直线，求所有不同直线的条数；（3）从（2）的所有直线中任取一条直线，求所取直线与抛物线有公共点的概率．22.如图，已知抛物线212y x bx =+与直线2y x =交于点(0,0),(,12)O A a ．点B 是抛物线上O ，A 之间的一个动点，过点B 分别作x 轴、y 轴的平行线与直线OA 交于点C ，E ． （1）求抛物线的函数解析式；（2）若点C 的横坐标为2，求BC 的长；（3）以BC ，BE 为边构造矩形BCDE ，设点D 的坐标为(,)m n ，求出,m n 之间的关系式．23.为鼓励大学毕业生自主创业，某市政府出台了相关政策：由政府协调，本市企业按成本价提供产品给大学毕业生自主销售，成本价与出厂价之间的差价由政府承担．李明按照相关政策投资销售本市生产的一种新型节能灯．已知这种节能灯的成本价为每件10元，出厂价为每件12元，每月销售量y （件）与销售单价x （元）之间的关系近似满足一次函数：10500y x =-+．（1）李明在开始创业的第一个月将销售单价定为20元，那么政府这个月为他承担的总差价为多少元？（2）设李明获得的利润为w（元），当销售单价定为多少元时，每月可获得最大利润？（3）物价部门规定，这种节能灯的销售单价不得高于25元．如果李明想要每月获得的利润不低于3000元，那么政府为他承担的总差价最少为多少元？24. 如图，抛物线23y ax bx =++与x 轴相交于点A （﹣1，0）、B （3，0），与y 轴相交于点C ，点P 为线段OB 上的动点（不与O 、B 重合），过点P 垂直于x 轴的直线与抛物线及线段BC 分别交于点E 、F ，点D 在y 轴正半轴上，OD =2，连接DE 、OF ． （1）求抛物线的解析式；（2）当四边形ODEF 是平行四边形时，求点P 的坐标；（3）过点A 的直线将（2）中的平行四边形ODEF 分成面积相等的两部分，求这条直线的解析式．（不必说明平分平行四边形面积的理由）九年级数学参考答案一、选择题1. C2. B3. D4. B5. C6. A7. A8.D9. C 10. D 二、填空题 11.2y x=-如 12.90° 13.10 14. 25 15.2± 16.2 三、解答题17.解：（1）22(1)2y x =+-（2）对称轴直线1x =-，顶点坐标（-1，-2）代入反比例解析式得：=19. 解：（1）设平移后的抛物线解析式为y=ax2+bx+c由已知得 a=1，c=2∴y=x2+bx+2 ∵过点B（2，0）∴4+2b+2=0∴b=-3∴y=x2-3x+2（2）y=x2-2x+2的对称轴为直线x=1 y=x2-3x+2的对称轴为直线x=3 2∴两对称轴之间的距离为1 220. 解：（1）120°（2）94平方米n= 23. 解：（1）当x=20时，y=﹣10x+500=﹣10×20+500=300，300×（12﹣10）=300×2=600，∴政府这个月为他承担的总差价为600元。

扬州中学教育集团树人学校2014–2015学年第一学期阶段练习九年级数学 2014.10（满分：150分；时间：120分钟）得分 一．选择题（每题3分，共24分）1． 下列方程是一元二次方程的是 （ ） A.12=+y x B.32)1(22+=-x x x C.413=+xx D.022=-x 2． 已知圆O 的半径是6，点P 到圆心的距离是4，则点P （ ） A. 在圆外 B.在圆上 C.在圆内 D.不确定3． 方程x x 32=的根是 （ ） Ａ．3=x Ｂ．0=x Ｃ．0,321=-=x x Ｄ．0,321==x x 4． 用配方法解一元二次方程542=-x x 时，此方程可变形为 （ ）Ａ．1)2(2=+x Ｂ．1)2-(2=x Ｃ．9)22=+x （ Ｄ．9)22=-x （ 5．某农机厂四月份生产零件50万个，第二季度共生产零件182万个，设该厂五、六月份平均每月的增长率为x ，那么x 满足的方程是 （ ） A.182)1502=+x （ B.182)1(50)1(50502=++++x x C. 182)21(50=+x D.182)21(50)1(5050=++++x xA.x<0.75B.0.75<x<0.8C.0.8<x<0.85D.0.85<x<0.9 圆弧与x 轴交于A 、B 两点，已知A(2，0), B(6，0)， 则点P 的坐标是 （ ）…………………密……………封……………线……………内……………不……………准……………答……………题……………………九龙湖校区 初三（ ）班 姓名___________________ 学号____________8． 关于x 的方程0122=--+k kx x 的根的情况描述正确的是 （ ）A. k 为任何实数，方程都没有实数根B. k 为任何实数，方程都有两个不相等的实数根C. k 为任何实数，方程都有两个相等的实数根D. 根据k 的取值不同，方程根的情况分为没有实数根、有两个不相等的实数根和有两个相等的实数根三种二．填空题（每题3分，共30分）9．把一元二次方程5)2(3=-x x 化为一般形式为 10．一元二次方程4)1(2=-x 的解为11．若关于x 的一元二次方程01)1(22=-+++m x x m 的一个根为0，则m 的值为 12．三角形两边的长分别为3和4，第三边的长是方程035122=+-x x 的根，则该三角形的周长为 。

扬州中学教育集团树人学校九年级第二次模拟考试数学试卷2014.5说明：1．本试卷共6页，包含选择题（第1题～第8题，共8题）、非选择题（第9题～第28题，共20题）两部分。

本卷满分150分，考试时间为120分钟。

考试结束后，请将本试卷和答题卡一并交回。

2．答题前，考生务必将本人的姓名、准考证号填写在答题卡相应的位置上。

3．选择题每小题选出答案后，请用2B 铅笔在答题卡指定区域填涂，如需改动，用橡皮擦干净后，再填涂其它答案。

非选择题请用0.5毫米的黑色签字笔在答题卡指定区域作答，在试卷或草稿纸上作答一律无效。

4．如有作图需要，可用2B 铅笔作答，并请加黑加粗，描写清楚。

一、选择题（本大题共有8小题，每小题3分，共24分．在每小题所给出的四个选项中，恰有一项是符合题目要求的，请将正确选项前的字母代号填涂在答题卡．．．相应位置．．．．上） 1. 下列各数中，属于无理数的是A. 0)2(πB. 33 C.4 D. 38- 2. 下列运算正确的是A.623x x x =⋅ B. 532)(x x = C. 2a －3a =－a D. 4)2(22-=-x x 3. 给出下列四个函数：①y x =-.......；②y x =；③1y x=；④2y x =．当0x <时，y 随x 的增大而减小的函数有A ．①③B ．②④C ．①④D ．①③④ 4．如图是根据某班40名同学一周的体育锻炼情况绘制的条 形统计图，那么该班40名同学一周体育锻炼时间的众数、中位数分别是A.16、10.5B.8、9C.16、8.5D.8、8.55．如图，下列选项中不是．．正六棱柱三视图的是A B C D(小时)(第5题图）（第4题）6．如图，在6×4方格纸中，格点三角形甲经过旋转后得到格点三角形乙，则其旋转中心是 A ．点M B ．格点N C ．格点P D ．格点Q 7．如图，△ABC 中，AB ＝AC ，BD ＝CE ，BE ＝CF ，若∠A ＝50°，则∠DEF 的度数是 A ．75° B ．70° C ．65° D ．60°8.如图，在Rt △ABC 中，∠C=90°，∠A=30°，AB=2．将△ABC 绕顶点A 顺时针方向旋转至△AB ′C ′的位置，B ，A ，C ′三点共线，则线段BC 扫过的区域面积为 A ．56π B ．76π C ．512π D ．712π 二、填空题（本大题共有10小题，每小题3分，共30分．不需写出解答过程，请把答案直接填写在答题卡相应位．．．．．．置．上） 9. 函数13y x =+中自变量x 的取值范围是 ▲ ． 10. PM2.5是指大气中直径小于或等于2.5微米的颗粒物，也称为可入肺颗粒物．2.5微米等于0.000 002 5米，把0.000 002 5用科学记数法表示为 ▲ ． 11. 分解因式：3244m m m -+= ▲ . 12. 函数1ky x-=的图象与直线y x =没有交点，则k 的取值范围是 ▲ ． 13．为解决群众看病难的问题，一种药品连续两次降价，每盒价格由原来的60元降至48.6元，则平均每次降价的百分率为 ▲ .14. 小刚把如图所示的矩形纸板挂在墙上，玩飞镖游戏（每次飞镖均落在纸板上），则飞镖落在阴影区域的概率是 ▲ ．15. 如图，在菱形阿ABCD 中，对角线AC ，BD 相交于点O, E 为AB 的中点，且OE=a ，则菱形ABCD的周长为 ▲ .(用含a 的代数式表示)(第15题)（第14题）(第6题)(第7题)（第8题）16. 在Rt △ABC 中，∠B =90°，AD 平分∠BAC ，交边BC 于点D ，如果BD =2，AC =6，那么△ADC的面积等于 ▲ ．17. 若一个直角三角形的两直角边上的中线长分别是3和4，则该直角三角形的斜边长是 ▲ ． 18. 已知抛物线bx x y +=221经过点A (4，0)。

扬州市教育集团树人学校2014-2015学年第一学期期中试卷九年级数学 2014.11（满分：150；考试时间：120分钟）一、选择题（本大题共8小题，每题3分，满分24分，每题只有一个正确答案）1、下列方程中，关于x 的一元二次方程是（）A. 20ax bx c ++=B. ()236x x x -=-C. ()()2211x x -=-D. 2310x x++= 2、圆是轴对称图形，它的对称轴有（）A.一条B.两条C.三条D.无数条3、下列说法正确的是（）A.三个点可以确定一个圆B.三角形的外心是这个三角形三条角平分线的交点C.垂直于弦的直径平分这条弦并且平分弦所对的两条弧D.过弦的中点的直线必过圆心4、已知1x 、2x 是方程2420x x -+=的两个根，则1211x x +的值为（） A. 12- B. 2 C. 12D. 2- 5、直线l 与半径为r 的⊙O 相交，且点Ｏ到直线ｌ的距离为３，则ｒ的取值范围是（）A. r<3B.r=3C.r>3D. 3r ≥6、如图所示，线段AB 是⊙O 的直径，∠CDB=15°，过点C 作⊙O 的切线交AB 的延长线于点E,则∠E等于（）A.45°B.50°C.60°D.70°7、如上图，⊙I 为△ABC 的内切圆，点D,E 分别为边AB,AC 上的点，且DE 为⊙I 的切线，若△ADE 的周长为9，BC 边的长为6，则△ABC 的周长为（）A.15B.21C.24D.258、关于x 的方程()22310m x x -+-=有实数根，那么m 的取值范围是（） A. 14m ≤- B. 14m ≥-且2m ≠ C. 14m ≤-且2m ≠ D. 14m ≥- 二、填空题（本大题共有10小题，每小题3分，满分30分） 9、一元二次方程250x -=的解是____________.10、若将一元二次方程2470x x --=化为()211x h +=，则h =____________.11、若一元二次方程260x mx --=的一个根为-2，则另一个根为____________.12、若非零实数a 、b 、c 满足420a b c -+=， 则关于x 的一元二次方程20ax bx c ++=一定有一个根为____________.13、直角三角形的两直角边长分别为5和12，它的外接圆的半径是____________. 14、已知⊙O 的直径为10，点P 到圆心O 的距离为6,则点P 与⊙O 的位置关系是____________. 15、某家用电器经过两次降价，每台零售价由1800元下降到1458元。

扬州中学教育集团树人学校第一次模拟考试初三英语试题一、单项选择(15%)1. -What do you think of ______ coming 2010 Shanghai World Expo（世博会）?-I am sure it will be ______ success.A. the, aB. the, /C. a, aD. a, the2. -Do you know the boy ______is sitting next to Peter?-Yes. He is Peter’s friend. They are celebrating Peter’s ______ birthday.A. who, ninthB. that, ninethC. which, ninthD. which, nineth3. -May I surf the Internet now? -No, ______ you finish doing the dishes.A. unlessB. ifC. becauseD. when4. -Who will send you to the new school, your mom or your dad? -______. I’ll go there alone.A. BothB. EitherC. NeitherD. None5. ______ things are getting more and more serious, ______ we should do our best.A. Though/ butB. Although/ butC. Though / yetD. although/ yet6. -Did you have any problems when you traveled in foreign countries?-Yes, ______really traditional Chinese food.You know, I wasn’t used to western food.A. look forB. looking forC. to look forD. looked for7. —I hear not only many foreign countries but also China ______ involved in the financial crisis(经济危机) lastyear.A. isB. areC. wasD. were8. Korea lies ______ Asia. It is ______the northeast of China and ______the west of Japan.A. in/to/onB. in/on/toC. on/in/toD. to/on/in9. -______a day do you walk your pet dog? -Once in the morning and once in the evening.A. How oftenB. How much timeC. How many timesD. How long10. -Could you tell me how long it will take to get to the zoo?-About 30 minutes by bus because it is ______ from here.A. 10 kilometres farB. 10 kilometres awayC. 10 kilometres longD. 10 kilometres’ long11. -Would you like another cup of tea? -______? Thanks.A. Do IB. Will IC. May ID. Am I12. -All the T-shirts look nice. I can’t decided ______. -The red one looks the best, I think.A. what shall I buyB. which one can I buyC. if I can buy oneD. which one I should buy13. -Did you like the newest film “The Hurt Lock er(拆弹部队)”?-Yes, very much. In fact I have never seen ______ one before.A. a more wonderfulB. the more wonderfulC. a most wonderfulD. the most wonderful14. People admire Mother Teresa because she ______ everything for ______.A. gave up/ the othersB. gave/ the othersC. gave up/ othersD. gave / others15. -Nice to meet you, Mike. ______?-Everything is OK. Thanks.A. What are you doingB. Where have you beenC. How is it goingD. What's wrong with you二、完形填空（15%）A farmer found a wounded eagle (受伤的鹰) in his field. He was so _ 16 _ that he took it home and cleaned its wounds. After that he placed it outside in the yard, in the hope that it 17__ be well soon.Strangely enough, the eagle soon got used to the 18__ of all the chickens in the yard. It learned to 19__ from side to side like chickens, and eat happily from a trough (食槽). For many years, the eagle 20_ his new life on the farm.Then one day, one of the farmer's friends pointed to the playing eagle and asked," 21__ is that eagle acting like a chicken?" The farmer told him what had 22___, and the friend felt quite __23 ."I can't believe that!" said the friend. "It should fly in the 24__ , not live here!" He picked up the eagle, and threw it into the air. The eagle was 25 __ , and cried loudly. Then it just fell down on the ground.That night, the friend could 26 _ sleep as he remembered the chicken-like eagle. The next morning, he headed back to the farm for another 27_. This time he carried the eagle to the __28 of a nearby mountain.When he stood at the highest place of the mountain, he looked into its eyes and shouted, "Don't you understand? You weren't made to live like a chicken!" As he held the eagle up, he made sure it was facing into the bright 29 _ of the rising sun. Then he _30_ tossed (抛) the bird into the sky. This time the eagle opened his wings, and disappeared into the clouds.16. A. polite B. brave C. kind D. proud17. A. would B. should C. must D. need18. A. food B. sounds C. water D. habits19. A. walk B. sleep C. talk D. drink20. A. wasted B. forgot C. lost D. enjoyed21. A. When B. How C. Why D. What22. A. suffered B. experienced C. happened D. found23. A. pleased B. surprised C. worried D. satisfied24. A. sky B. sea C. land D. lake25. A. afraid B. interested C. excited D. angry26. A. hardly B. exactly C. actually D. finally27. A. drink B. meeting C. rest D. try28. A. top B. foot C. center D. side29. A. sight B. light C. space D. shape30. A. easily B. softly C. hardly D. powerfully三、阅读理解(30%)A31.Ifyou want to book a ticket to Sydney Tower, you can't _______.A. email sydneytower @ hotmail, cornB. fax 02 9333 9203C. search www. sydneytower, com. auD. call 02 9333 922232. Last Saturday, Johnson went to visit Sydney Tower. He had to get down the tower______.A. after 11:30 pmB. before 11:30 pmC. at 10:30 pmD. by 10:30 pm33. The passage above is probably______A. a piece of newsB. a conversationC. a storyD. an advertisementBPopular breakfast foods in the United States, as in many other countries around the world, include coffee, milk, juice, eggs and bread. Some other breakfast items served in the United States are thought by many to be traditionally American. However, they actually come from other countries.A very popular breakfast food in America is the pancake---a thin, flat cake made out of flour(面粉) and often served with maple syrup（枫蜜,糖枫汁）.The idea of the pancake is very old. In fact, pancakes were made long ago in ancient China.Bagels（硬面包圈）, a round thick bread with a hole in the middle, are also popular for breakfast in America. Polish（波兰的）people in the late 1600s came up with the idea for the first bagels and this new kind of bread soon took off across Eastern Europe.In the late 1800s, thousands of Jews（犹太人）from Eastern Europe traveled to the United States and brought the recipe（配方）for bagels with them. Today, New York bagels are said to be the best in the world. Many people have them with cream cheese for breakfast.Doughnuts (炸面圈，usually spelled “donut” in the United States) came from France. They were served to American soldiers in France during World WarⅠ. After the war, American soldiers asked cooks in the United States to make doughnuts for them. Now, served with coffee, they are a very popular breakfast food across the United States.34. This reading is mainly about _______.A. famous places in the United States to eat breakfastB. popular American breakfast foods coming from ChinaC. the most popular types of pancakes in the United StatesD. the history of popular breakfast foods in the United States35. Which of the following is true for both bagels and donuts?A. They both came from Europe.B. They are both easy to make.C. They are both sweet.D. People in New York make them best.36. Who brought bagels to America?A. Polish people.B. Jewish people.C. Chinese people.D. American soldiers.37. Which of the following is true about doughnuts?A. It was first made by the French.B. The soldiers invented them in World WarⅠ.C. Only soldiers eat them in the Untied States.D. It is round with a hole in the middle.CThis is not a diet. It's a simple way to lose weight~ And you don' t even have to give up the food you love or join a gym(参加体育锻炼). You just follow some habits that thin people have. Keep them, and you'll become thin.( 1 ) Wake - upWhen you wake up in the morning, sit up slowly without using your hands. With legs straight out, bend( 弯曲) forward until you feel sore(酸痛) in your back. It will burn about 10 calories.(2) Start with soupWhen you have a meal, order a clear soup, and have it before having the main food. In this way, you'll feel fuller, so you'll eat less when the main food comes.(3) An apple (or more) a dayApples are full of fiber（纤维) and water, so your stomach will want less. The study shows that people who eat at least three apples a day lose weight.(4) Stand up and walk aroundEvery time you use the mobile phone, stand up and walk around. Heavy people sit on average(平均) two and a half hours more each day than thin people. This skill is very important as standing up and walking around will burn 50 or more calories.Use these skills, and you will have a big weight loss.38. Why does eating apples make one's stomach want less food?A. Because apples are delicious.B. Because apples are full of fiber and water.C. Because apples are sour.D. Because only apples are filled with calories.39. Which of the following may the author disagree?A. Sitting up slowly without using your hands helps burn calories.B. Eating apples every day is good for people's health.C．You have to join a gym if you want to lose weight.D. It's good to walk around while talking on the mobile phone.40. What's the purpose of the passage?A. To give some advice on how to lose weight.B. To advise people to eat apples every day.C. To tell people how to enjoy a better life.D. To advise people to give up bad habits.41. In which part of a newspaper would you most probably read the passage?A. Shopping.B. Teaching.C. Family.D. Health.DToday we explain a very old saying that has had a big influence on rock and roll music. That saying is a rolling stone gathers no moss(滚动的石头不长苔). It has several meanings. One of them is that a man who never settles down in one place will not be successful.This proverb was said to be first used in 1500. But in the1960s, the expression “rolling stone” became fa mous in the world of rock and roll music. It became the name of a song, a rock group and a magazine.Experts say it all started with a song by the US singer and guitarist Muddy Waters. He was one of the country’s top blues musicians until his death in 1983. In 1950, Muddy Waters recorded a song called Rolling Stone. His music influenced singers like Elvis Presley and Bob Dylan. In 1965, Bob Dylan released（发行）his song like a Rolling Stone to the public. It is one of his best-known works.A British rock grou p is said to have taken its name from Muddy Waters’ song. The Rolling Stones performed for the first time in 1962. The group’s members called themselves “the world’s greatest rock and roll band”.In 1967, a young man named Jann Wenner started a magazine Rolling Stone. The magazine reported on rock music and the popular culture that the music created. By 1971, Rolling Stone had become the leading rock music and counterculture(反文化的) publication. It is still popular today.42. Which of the following did not us e the expression “rolling stone” as its name?A. songB. A pop clubC. A rock groupD. A magazine43. The expression first became the name of a song in ___________.A. 1500B. 1950C. 1962D. 196544. Who had a great influence on the British rock group?A. Muddy WatersB. Elvis PresleyC. Bob DylanD. Jann Wenner45. What is the best title of the text?A. Rolling stone.B. Rock and roll music.C. What rolling stone meansD. An old saying四、词汇运用(10%)46. Do you know how many __________ there are in Yangzhou? (综合性大学)47. ____________the national flag is one of the most important events every day. (升起)48. Will you please offer us some more samples for ____________ research? (far)49. In 1969, humans reached the moon ___________ for the first time. (succeed)50. ___________ by Arm Strong, the spacecraft landed safely. (control)51. The river runs __________the city from east to west. (穿过)52. Whose turn is it to sweep the floor today? It’s __________. (I)53. Three __________ of the students in our school are from cities. (five)54. Finish this work in such a short time? It’s ___________. (可能)55. He rushed out and carried the little girl to ___________. (安全)五、任务型阅读（10%）An e-book is a book you can read on the Internet. It can be anywhere from a few pages long to several hundred. The Internet becomes the main form of communication these days, the popularity(普及) of the e-books is growing among readers.If you want to write your e-book, you need to understand the following things.First, the selection of a topic for your e-book is really important. The topic should be one that most people are interested in. Again, choose a topic which you have rich knowledge on so that you can offer people the information they are looking for.Second, try to develop a title that can attract many readers. If the title of your e-book can make the readers feel curious, it’s the first step to your success as you can get visitors.Third, you should create an informative content(资讯丰富的目录) for the readers. So you should have a rich knowledge of the topic. Moreover, the content should be well-written and easy to understand.Last, the cover of your book is also important. By choosing a proper color combination(组合) and a delicate graphic(图解的) designs, you can make it attractive to your possible readers.Title A 56_________to e-book writingInformation aboute-books ▲You can read them 57_________.▲They can be anywhere from a few pages long to several hundred.▲They become more and more 58__________.59_____of writinge-books 60_________the best topicThe topic should be 61_______and you have richknowledge on it.Providing a good titleThe title should be 62_________ and can causethe curiosity(好奇心) among the readers. Developing an informativecontentYou should 63_______the topic well and thecontent should be well-written and easy tounderstand.Making a good 64________It should be made up of different 65________witha graphic designs六、缺词填空（10%）A boy loved football with all his heart. But being much shorter than the other boys, he got nowhere. Even t____66____ the boy was always on the bench（板凳）, his father was always in the stands(看台) cheering for his son and never m____67____ a game. The father continued to encourage him but also made it very clear that he did not have to play football if he didn’t want to. But the boy made up his mind to try his b___68____.It was the end of his high school football season. One day, as he ran onto the practice field as u____69____,the coach gave him a letter. The young boy read it and became silent. It told the news of his father’s death. He asked for l____70_____ and the coach agreed.Next day, the coach and his players were s___71____ to see the boy come back so soon. “Coach, please let me play. I’ve just got to play today,” said the young boy. There was no way letting the worst player play in this final game. But the young boy insisted, and f____72___ the coach agreed. Before long everyone in the stands could not believe their e____73____. This little unknown player, w___74___ had never played before, was doing everything right. Finally, the boy helped his team win the game.The coach came to him and asked, “Kid, tell me how you did it.”W___75____ tears in his eyes, the young boy explained that his dad was blind and he came to all his games, but today was the first time his dad could see him play, and he wanted to show his dad he could do it.七、书面表达(30%)A.中译英（10%）76. 学会与朋友同甘共苦是很有必要的。

新世纪教育网精选资料 版权全部 @新世纪教育网扬州中学教育公司树人学校初三“一模”试卷（数学）2011.3.31 （时间： 120 分钟；满分： 150 分）一、选择题（ 3 分× 8=24 分） 1.﹣ 3 的倒数是1 1 A 、﹣3B 、3C 、D 、332. 以下计算正确的选项是A 、 a 2a 3 a 5 B 、 a 6 a 2 a 3 C 、 (a 2 ) 3a 6D 、 2a 3a 6a3. 扬州瘦西湖地道马上动工，这将大大改良市里东西向交通拥堵问题，已知地道全长 3030米， 3030 用科学记数法可表示为 A 、 3.03 102B 、 3.03 10 3C 、 3.03 104D 、 0.303 1054. 以下事件中最合适使用普查方式采集数据的是A 、认识某班同学的身高状况B 、认识全国每日抛弃的废旧电池数C 、认识一批炮弹的杀伤半径D 、认识我国农民的年均匀收入状况 5. 图中所示几何体的俯视图是正面ABC D6. 如图，△ ABC 绕点 A 顺时针旋转 80°获得△ AEF ，若∠ B=100 °，∠ F=50°，则∠ α的度数是A 、40°B 、 50°C 、 60°D 、70°7. 在平面直角坐标系中， □ABCD 的极点 A 、 B 、 D 坐标分别是（ 0，0），（ 5， 0），（ 2， 3），则点 C 的坐标是A 、（ 3，7）B 、（ 5，3）C 、（ 7， 3）D 、（ 8， 2）CyBEFDCαA O （A ）Bx(第 8题)( 第 题(第 7题) 6 )8. 如图，两正方形相互相邻且内接于半圆，若小正方形的面积为 16cm 2，则该半圆的半径为A 、 45 cmB 、 4 5 cmC 、 9 cmD 、 6 2 cm二、填空题（ 3 分× 10=30 分）9. 写出﹣ 1 和 2 之间的一个无理数：。