山东省实验中学2009年初中毕业模拟试卷二及答案
2009年初中毕业生学业水平考试模拟卷参考答案

2009年初中毕业生学业水平考试模拟卷数学试题卷参考答案一、选择题(本题有10小题,每小题4分,共40分)二、填空题 (本题有6小题,每小题5分,共30分) 11.(3+a )(3-a).12、k =-1013.200914.15. 1016. 2008三、解答题 (本题有8小题,共80分,各小题都必须写出解答过程) 17.(本题10分) (1)计算:02)2009(|2|45sin 21612π---︒+--- 解 略(2)解不等式组2193127.x x x -⎧⎨-<+⎩≥,解:略18.(本题满分8分)已知:如图,E 、F 是四边形ABCD 的对角线AC 上的两点,AF =CE ,DF =BE ,DF ∥BE 。
求证:(1)△AFD ≌△CEB ;(2)四边形ABCD 是平行四边形。
证略19.(本题8分) 略解:(1)y =30x(2)没满20.(本题8分) 19.(本题8分) 解:(1)如图,△A'B'C'就是所求的像 ……(3分) (-4, 1) 、(-1,-1) ……(2分) (2) (a -5,b -2) ……(3分)21.(本题10分). 解:(1)∵ AB ⊥OD , ∴∠OEB=900在Rt △OEB 中,BE=OB ×sin ∠COD=10×45=8 由垂径定理得AB=2BE=16所以弦AB 的长是16 ……(3分) (2)方法(一)在Rt △OEB 中,==6. ∵CD 切⊙O 于点D, ∴∠ODC=900, ∴∠OEB=∠ODC. ∵∠BOE=∠COD, ∴△BOE ∽△COD,∴CD OD BE OE =, ∴1086CD = , ∴CD=403. 所以CD 的长是403……(4分)方法(二)由sin ∠COD=45 可得tan ∠COD=43,在Rt △ODC 中,tan ∠COD= CDOD ,∴CD=OD •tan ∠COD=10×43=403……(4分)(3)连结OA. 在Rt △ODC 中, ∵o ≈0.8 ∴∠o ∴∠o ,∴劣弧AB 的长度 106.26 3.14210180180n R l π⨯⨯==≈18.5 ……(3分) 22.(本题10分)解:(1)2 ,0.125 ; ……(各2分) (2)图略; ……(2分) (3)由表得,有29名同学获得一等奖或二等奖. 设有x 名同学获得一等奖, 则有(29-x )名同学获得二等奖,根据题意得 151029335x x +-=()……(2分)解得 x =9 ……(1分) ∴ 50x +30(29-x )=1050所以他们得到的奖金是1050元 ……(1分)D23.(本题满分12分)解:(1)连结EF 交AC 于O ,当顶点A 与C 重合时,折痕EF 垂直平分AC ,OA OC ∴=,90AOE COF ∠=∠= ····························1分 在平行四边形ABCD 中,AD BC ∥,EAO FCO ∴∠=∠, COF AOE ∆≅∆∴。
济南市2009年初中学业水平考试

2009年初中生物中考模拟考试卷(B)一、选一选(每小题只有一个正确答案,每小题2分,共50分)1、下列哪一个细胞里的染色体不成对存在A、卵细胞B、受精卵C、白细胞D、上皮细胞2、将一定量人的血液放入装有抗凝剂的试管中,静置一段时间后,可以观察到明显的血液分层现象,中间一层薄薄的白色物质是A、血浆B、白细胞C、红细胞和血小板D、白细胞和血小板3、下列说法不正确的是A、人的受精卵里有46条染色体, 肌肉细胞里也有46条染色体B、控制生物性状的成对基因在形成生殖细胞时要彼此分开C、受精卵内既含父方基因, 又含母方基因D、生物的遗传现象多于变异现象4、家庭性多发性结肠息肉是一种显性遗传病, 双亲中一个基因组成的Ee的患病者, 另一个表现正常. 那么, 他们的子女发病的可能性是A、25%B、50%C、75%D、全部5、因激素分泌异常而引起的一组疾病是A、糖尿病和佝偻病B、坏血病和侏儒症C、糖尿病和巨人症D、大脖子病和脚气病6、制作临时装片时应尽可能地避免产生气泡,其操作的关键性步骤是A、撕取的洋葱表皮要尽量的薄B、将撕下的材料平展在载玻片的水滴中C、在载玻片的中央滴清水时,大小要适宜D、先用盖玻片的一侧接触载玻片上的水滴,再平稳放下盖玻片7、两株高果(G)南瓜杂交后, 后代高果(G)和矮果(g)的比例是3:1, 则亲本的基因组合方式应是A、GG和ggB、GG和GgC、Gg和GgD、gg和gg8、对“鱼鳍在游泳中的作用”进行探究时,发现能够保持鲫鱼身体平衡的是A、胸鳍和腹鳍B、背鳍和尾鳍C、背鳍和臀鳍D、胸鳍和尾鳍9、右图中既是肾单位的组成部分,又属于循环系统的结构是A、①B、②C、③D、④10、与人的左心室相连的血管是A、上、下腔静脉B、肺动脉C、肺静脉D、主动脉11、当豌豆的基因组成为D d时,则表现出A、隐性性状B、显性性状C、中间性状D、性别特征12、体操运动员在平衡木上运动,与身体平衡直接有关的调节中枢位于A、小脑B、大脑C、脑干D、脊髓13、经过肺循环后,血液发生的变化是A、动脉血变成静脉血B、静脉血变成动脉血C、氧和血红蛋白分离D、二氧化碳扩散到血液中14、下列哪组不是相对性状A、番茄的黄果与红果B、水稻的早熟和晚熟C、绵羊的长毛和细毛D、人的A型血和B型血15、下列哪项不是运动系统的器官A、关节B、骨骼肌C、骨D、神经16、健康人每天形成的原尿约有150升,而每天排出的尿液却只有1.5升左右,这是由于A、肾小球和肾小囊壁的滤过作用B、汗腺排出汗液C、肾小管的重吸收作用D、膀胱对尿液的贮存17、绿色植物的呼吸作用产生了A、淀粉和二氧化碳B、水和二氧化碳C、淀粉和氧D、水和无机盐18、听觉形成的过程中,感受刺激、产生兴奋的结构是A、听觉中枢B、半规管C、鼓膜D、耳蜗19、遗传物质的载体是一种叫DNA的有机物,DNA主要存在于下列哪个结构里面A、细胞壁B、细胞质C、细胞核D、细胞膜20、人体呼出的气体,二氧化碳增多了,这些二氧化碳产生于A、呼吸系统B、血液C、组织细胞D、肺泡21、下列哪种不是传染病A、夜盲症B、“非典”C、天花D、禽流感22、能激发人体出现性别特征的激素是A、性激素B、甲状腺激素C、胰岛素D、生长激素23、无性生殖与有性生殖的本质区别是A、能否由母体直接产生新个体B、能否进行细胞分裂C、能否形成生殖细胞D、有无两性生殖细胞的形成与结合24、显微镜视野内可以看清洋葱鳞片叶表皮细胞的细胞壁和细胞核,但看不清液泡。
2009年山东省济南市天桥区九年级初中毕业复习综合练习试卷——数学(二)

二OO 九年初中毕业复习数学综合练习(二)本试卷分第Ⅰ卷(选择题)和第Ⅱ卷(非选择题)两部分.第Ⅰ卷1至2页,第Ⅱ卷3至6页.共120分.时间120分钟.第Ⅰ卷(选择题 共48分)一、选择题:本大题共12个小题.每小题4分; 共48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.如图,数轴上A 、B 两点所表示的两数的( )A. 和为正数B. 和为负数C. 积为正数D. 积为负数2.2008年奥运会圣火在全球传递的里程约为137000km ,用科学记数法表示为( )A .31.3710⨯kmB .313710⨯kmC .51.3710⨯kmD .513710⨯km 3.如图,已知AB∥CD,∠A=70°,则∠1度数是( )A.70°B.100°C.110°D.130° 4.若分式的值为零,则x 的值是( )A. 0B. 1C. -1D. -25.下列运算正确的是( )A .651a a -=B .235()a a = C .235325a a a += D .235236a a a ⋅=6.若点P (a ,a -4)是第二象限的点,则a 必须满足( ) A.a <0B.a >4C. a <4D.0<a <47.下面的图形中,既是轴对称图形又是中心对称图形的是( )O-3A BC D 1第3题图D CBAPA.B. C.D.8.在下列命题中,正确的是()A.一组对边平行的四边形是平行四边形 B.有一个角是直角的四边形是矩形C.有一组邻边相等的平行四边形是菱形 D.对角线互相垂直平分的四边形是正方形9.一次函数y kx b=+的图象如图所示,当0y<时,x的取值X围是()A.0x>B.0x<C.2x>D.2x<10.如图是一个中心对称图形,A为对称中心,若∠C为()A.4 BC11.如图,矩形ABCD中,1AB=,2AD=,M是CD的中点,点P在矩形的边上沿A B C M→→→运动,则APM△的面积y与点P经过的路程x之间的函数关系用图象表示大致是下图中的()xyA (1,2)B (m ,n )12.二次函数()20y ax bx c a =++≠的图象如图所示.有下列结论:①240b ac -<;②0ab >;③0a b c -+=;④40a b +=;⑤当2y =时,x 只能等于0.其中正确的是( ) A.①④ B.③④C.②⑤D.③⑤第Ⅱ卷(非选择题 共72分)注意事项:1.第Ⅱ卷共4页.用蓝、黑钢笔或圆珠笔直接答在考试卷上.2.答卷前将密封线内的项目填写清楚.二、填空题:本大题共5个小题.每小题3分;共15分.把答案填在题中横线上. 13.-13的绝对值是________,9的平方根是. 14.分解因式:222a ab -=.15.如图,点D E ,分别在线段AB AC ,上,BE CD ,相交于点O AE AD =,,要使ABE ACD △≌△,需添加一个 条件是(只要写一个条件).16.如图,在平面直角坐标系中,函数ky x=(0x >,常数0k >) OCEADB第15题0 2 5 x2y的图象经过点(12)A ,,()B m n ,,(1m >),过点B 作y 轴 的垂线,垂足为C .若ABC △的面积为2,则点B 的坐标 为.17.观察下面两行数:根据你发现的规律,取每行数的第10个数,求得它们的和是(要求写出最后的计算结果).三、解答题:本大题共7个小题.共57分.解答应写出文字说明、证明过程或演算步骤. 18.(本小题满分7分)计算化简: (1)(1-)2008-(π-3)0+4(2)221111121x x x x x +-÷+--+19.(本小题满分7分)解方程或不等式组:2, 4, 8, 16, 32, 64, … ① 5, 7, 11, 19, 35, 67, … ②(1)解方程:1x 121x x 3=--- (2)解不等式组 ()⎪⎩⎪⎨⎧->+≤-.214,121x x x20.(本小题满分8分)根据奥运票务公布的女子双人3米跳板跳水决赛的门票价格(如表1),小明预定了B 等级、C 等级门票共7X ,他发现这7X 门票的费用恰好可以预订3XA 等级门票.问小明预定了B 等级、C 等级门票各多少X ?21.(本小题满分8分)如图△ABC 与△CDE 都是等边三角形,点E 、F 分别在AC 、BC 上,且EF ∥AB . (1)求证:四边形EFCD 是菱形; (2)设CD =4,求D 、F 两点间的距离.表1:等级 票价(元/X ) A 500 B30022.(本小题满分9分)气象台发布的卫星云图显示,代号为W的台风在某海岛(设为点O)的南偏东45°方向的点B生成,测得OB.台风中心从点B以40km/h的速度向正北方向移动,经5h后到达海面上的点C处.因受气旋影响,台风中心从点C开始以30km/h的速度向北偏西60°方向继续移动.以O为原点建立如图所示的直角坐标系.(1)台风中心生成点B的坐标为,台风中心转折点C的坐标为;(结果保留根号)(2)已知距台风中心20km的X围内均会受到台风的侵袭.如果某城市(设为点A)位于点O的正北方向且处于台风中心的移动路线上,那么台风从生成到最初..侵袭该城要经过多长时间?C604523.(本小题满分9分)一座拱桥的轮廓是抛物线型(如图1所示),拱高6m ,跨度20m ,相邻两支柱间的距离均为5m .(1)将抛物线放在所给的直角坐标系中(如图2所示),求抛物线的解析式; (2)求支柱EF 的长度;(3)拱桥下地平面是双向行车道(正中间是一条宽2m 的隔离带),其中的一条行车道能否并排行驶宽2m 、高3m 的三辆汽车(汽车间的间隔忽略不计)?请说明你的理由.24.(本小题满分9分)如图,在Rt△ABC 中,AB =AC ,P 是边AB (含端点)上的动点.过P 作BC 的垂线PR ,R 为垂足,∠PRB 的平分线与AB 相交于点S ,在线段RS 上存在一点T ,若以线段PT 为一边作正方形PTEF ,其顶点E ,F 恰好分别在边BC ,AC 上.x图2图1(1)△ABC 与△SBR 是否相似,说明理由;(2)请你探索线段TS 与PA 的长度之间的关系;(3)设边AB =1,当P 在边AB (含端点)上运动时,请你探索正方形PTEF 的面积y 的最小值和最大值.二OO 九年初中毕业复习 数学综合练习(二) 参考答案一、选择题:D C C B D A B C C D A B二、填空题:13. 13,±3; (1+b )(1-b ) 15. ∠B = ∠C、 ∠AEB = ∠ADC、 ∠CEO= ∠BDO、AB = AC 、BD = CE (任选一个即可). 16.(3,23) 17. 2051三、解答题: 18.(1)(1-)2008-(π-3)0+4=1-1+2……………………..2分=2………………………….3分(2)原式211(1)1(1)(1)1x x x x x -=-++-+ ----------------------------------------------2分2111(1)x x x -=-++-------------------------------------------------------------3分22(1)x =+=2221x x ++---------------------------------------------------------4分19.(1)解:原方程可化为32111x x x +=--…………………………………….1分第24题TPSREABC F方程两边都乘以)1(-x ,得:123-=+x x ………………………..2分解得:23-=x ……………………………………………………………….3分 经检验:23-=x 是原方程的根;…………………………………………..4分(2)解:解不等式①,得 3≤x .………………………………………1分 解不等式②,得 244->+x x , 即 2->x . ………2分 ∴原不等式组的解集为32≤<-x . ………………………………3分 20.设小明预订了B 等级,C 等级门票分别为x X 和y X. ……………………1分依题意,得 ⎩⎨⎧⨯=+=+.3500150300,7y x y x ……………………………..4分解这个方程组得⎩⎨⎧==.4,3y x …………………………..…7分答:小明预订了B 等级门票3X ,C 等级门票4X. …………………………8分 21.(1)证明:∵△ABC 与△CDE 都是等边三角形∴∠ACB=∠DEC=∠A=∠DCE=60°……………………………….1分 ∴DE∥FC,CD∥AB………………………………………………………2分 ∵EF∥AB∴EF∥CD……………………………………………………………………3分 ∴四边形是EFCD 平行四边形…………………………………………….4分 又∵DE=DC∴平行四边形EFCD 是菱形………………………………………………..5分 (2)解:连接DF ,交EC 于点O ,则DF⊥EC,且OE=OC,OF=OD,∠CDO=30°..6分 ∵CD=4,∴OD=23……….7分O∴DF=分22.解:(1)B -,C -;………………..4分 (2)过点C 作CD OA ⊥于点D ,如图2,则CD =.……………..5分 在Rt ACD △中,30ACD ∠=,CD =,3cos302CD CA ∴==200CA ∴=.…………….8分 20020630-=,5611+=, ∴台风从生成到最初侵袭该城要经过11小时.……….9分23.解:(1)根据题目条件,A B C ,,的坐标分别是(100)(100)(06)-,,,,,. ··· 1分 设抛物线的解析式为2y ax c =+, ···················· 2分将B C ,的坐标代入2y ax c =+,得60100c a c =⎧⎨=+⎩,………….3分解得3650a c =-=,. 所以抛物线的表达式是23650y x =-+. ···· 4分 (2)可设(5)F F y ,,于是2356 4.550F y =-⨯+= ························ 5分 从而支柱MN 的长度是10 4.5 5.5-=米. ················· 6分 (3)设DN 是隔离带的宽,NG 是三辆车的宽度和,则G 点坐标是(70),. ························· 7分 过G 点作GH 垂直AB 交抛物线于H ,则2376 3.06350H y =-⨯+>≈. ·· 8分 根据抛物线的特点,可知一条行车道能并排行驶这样的三辆汽车. ······ 9分/kmBC6045x24.解:(1)∵RS 是直角∠PRB 的平分线,∴∠PRS =∠BRS =45°.在△ABC 与△SBR 中,∠C =∠BRS =45°,∠B 是公共角, ∴△ABC ∽△SBR ………………………….1分 (2)线段TS 的长度与PA 相等………………….2分 ∵四边形PTEF 是正方形,∴PF =PT ,∠SPT +∠FPA =180°-∠TPF =90°, 在Rt△PFA 中,∠PFA +∠FPA =90°, ∴∠PFA =∠TPS ,∴R t △PAF ≌Rt△TSP ,∴PA =TS ……………….3分当点P 运动到使得T 与R 重合时,这时△PFA 与△TSP 都是等腰直角三角形且底边相等,即有PA =TS .由以上可知,线段ST 的长度与PA 相等.(3)由题意,RS 是等腰Rt△PRB 的底边PB 上的高,∴PS =BS , ∴BS +PS +PA =1, ∴PS =12PA-……………….4分设PA 的长为x ,易知AF =PS , 则y =PF 2=PA 2+PS 2,得y =x 2+(12x -)2, 即y =2511424x x -+,…………………………5分 根据二次函数的性质,当x =15时,y 有最小值为15……..6分如图2,当点P 运动使得T 与R 重合时,PA =TS 为最大.易证等腰Rt△PAF ≌等腰Rt△PSR ≌等腰Rt△BSR , ∴PA =13. 如图3,当P 与A 重合时,得x =0. ∴x 的取值X 围是0≤x ≤13……………………7分 (第24题图1)TP SREABCF (第24题图2)(第24题图3)(T )PSR EA BC (T )(P )S E (R )A BCF(此处为独立得分点,只要求出x≤13即可得1分)∴①当x的值由0增大到15时,y的值由14减小到15……..8分∴②当x的值由15增大到13时,y的值由15增大到29……..8分(说明:①②任做对一处评1分,两处全对也只评一分)∵15≤29≤14,∴在点P的运动过程中,正方形PTEF面积y的最小值是15,y的最大值是14………..9分。
2009年山东省化学中考试题(含答案)

2009年山东省中考化学试题附:日照市德州市莱芜市东营市全卷共50分。
考试时间为60分钟。
可能用到的相对原子质量:H—1 C—12 N—14 O—16 S—32第I卷(选择题共16分)一、选择题(本题包括8小题,每小题2分,共16分。
每小题只有一个选项符合题意)1.“关爱生命,拥抱健康”是永恒的主题。
下列做法有利于身体健康的是A.为避免受到黄曲霉毒素的伤害,霉变的花生米可以油炸后食用B.常食新鲜水果和蔬菜,保证人体有充足的维生素C.食品厂用CuSO4溶液浸泡粽叶,使粽叶变得鲜绿D.使用聚氯乙烯薄膜包装食品2.达菲是抗击甲型H1N1流感的有效药物,合成达菲的重要中间体为莽草酸(化学式C7H10O5)。
下列有关莽草酸的说法不正确...的是A.莽草酸是一种有机化合物 B.莽草酸中氧元素的质量分数为50%C.莽草酸由三种元素组成 D.莽草酸分子中C、H、O的原子个数比为7∶10∶5 3.用分子的知识解释下列现象,正确的是A.缉毒犬能根据气味发现毒品,是由于分子不断运动B.石灰石能被研磨成粉末,说明分子很小C.变瘪的乒乓球放入热水中能鼓起来,是由于分子受热变大D.降温能使水结成冰,是因为在低温下水分子静止不动4.推理是化学学习中常用的思维方法。
下列推理正确的是A.酸能使石蕊试液变红,CO2也能使紫色的石蕊试液变红,所以CO2是酸B.锌和铜均是金属,锌与稀硫酸反应生成氢气,则铜也能与稀硫酸反应生成氢气C.碱性溶液能使酚酞试液变红,滴入酚酞试液后变红的溶液一定呈碱性D.溶液中有晶体析出,其溶质质量减小,所以溶质的质量分数一定减小5.下列观点错误..的是A.化学反应进行得越快、越彻底就一定越好B.分子是保持物质化学性质的最小粒子,分子的组成或结构变了,其化学性质就变了C.绿色化学有助于人类解决环境问题,实现人与自然和谐共处D.宏观物质都是由微观粒子构成的,微观粒子的种类和数量不同、彼此的结合方式多样决定了物质的多样性6.下面是李明同学对所学知识进行归纳的情况,其中有错误..的一组是A.性质与用途 B.元素与人体健康氢气能燃烧—理想燃料铜具有导电性—作导线人体缺铁—易患贫血症人体缺碘—易患甲状腺肿大C.生活常识 D.环保与物质的利用通电的线路着火时—立即用水浇灭饮水解渴—水越纯越好减少水污染—合理使用农药、化肥减少“白色污染”—使用可降解的塑料7.科学家用有机分子和球形笼状分子C60,首次制成了“纳米车”(如图),每辆“纳米车”是用一个有机分子和4个球形笼状分子“组装”而成。
2009届山东省实验中学高三年级第四次综合测试

2009届山东省实验中学高三年级第四次综合测试文综卷本试卷分第Ⅰ卷(选择题)和第Ⅱ卷(非选择题)两部分。
满分240分,考试时间150分钟。
第Ⅰ卷(必做,共100分)第Ⅰ卷为单项选择题,共25小题,每小题4分,共100分。
在每小题给出的四个选项中,只有一个最符合题目要求。
湿空气和干空气的垂直递减率是不同的,湿空气的垂直递减率要小一些,因为湿空气上升时水汽会产生凝结,而水分凝结是释放热量的过程,抵消了部分因上升所引起的降温。
读下图回答1——2题。
1.d若点气温为26℃,a点气温为30℃,d.c两点高度相同,b点的温度为10℃,c点温度为30℃,则背风坡与a点相同高度的点气温为多少?()A.35℃B.30℃C.25℃D.34℃2.根据材料的叙述可以下列判断正确的是()A.ab坡为迎风坡B.bc坡为迎风坡C.两个坡均有可能为迎风坡D.无法判断读我国27°N局部地区剖面图,回答3~5题。
3.根据当地垂直植被带分布规律判断,甲处植被带应为()A.落叶阔叶林B.热带雨林C.高山灌丛草甸D.常绿松林4.①.②.③为同一条河流干流形成的三个谷地,从上游向下游的排列顺序是()A.①②③B.②③①C.②①③D.③②①5.玉龙山山麓植被带是在干热气候条件下形成,当地这种气候的成因是()Ⅰ.常年受副热带高气压控制,盛行下沉气流Ⅱ.冬季风背风坡,下沉增温Ⅲ.西南季风越过山顶,下沉增温Ⅳ.河谷地形,地形闭塞A.Ⅰ.ⅡB.Ⅲ.ⅣC.Ⅰ.ⅢD.Ⅱ.Ⅳ《碧水蓝天——展望21世纪的中国环境》研究报告中称:“从1995年到2020年,最大城市的大气质量总体有所改善……”2001年7月13日,北京申奥成功。
北京申奥的一句响亮口号是“绿色奥运”。
根据城市发展,预计到2010年,我国将建成轻轨铁路约450千米;到2020年,我国将建成轻轨铁路约900千米;到2050年,将建成4500千米共300条的城市轻轨铁路。
回答6——8题。
6.上述材料反映出我国正致力于改善在城市化过程中产生的下列问题中的()①环境污染②绿地面积少③交通拥挤④就业困难⑤社会治安差A.①②B.①②③C.①②③④D.①②③④⑤7.对大多数中国城市来说,不能呈现“碧水蓝天”的原因是()A.城市“热岛效应”时的城市多雨天,少晴天B.城市建设大兴土木,尘土飞扬,污水四流C.沙尘暴时的城市大气能见度变小,水域泥沙含量大D.城市生活.生产及交通排出废气(尾气)与生活.生产废水造成城市大气和水域污染8.修建城市轻轨铁路,除了能改善城市交通,还可以()A.改善城市的景观B.提高城市居民的经济收入C.改善城市的环境质量D.调整城市的经济结构9.有人为简化教材内容,利用公式表示概念间关系,表述错误的是:()A.资本主义= 商品经济+雇佣关系B.国家垄断资本主义= 国家干预+ 垄断资本主义C.小农经济= 手工业+ 农业D.江南制造总局= 民族资本家+ 资本主10.《二十世纪中国的崛起》指出:“一个民族的觉醒,通常要有两个条件:第一,这个民族面对着或者经历了以往没有遇到过的严重危机,甚至整个民族被逼到生死存亡的关头,旧格局再也无法继续保持下去。
2009年初中毕业生学业考试(有答案)

港中数学网2009年初中毕业生学业考试数 学 试 卷说明:本试卷共 4 页,23 小题,满分 120 分.考试用时 90 分钟.注意事项:1.答题前,考生务必在答题卡上用黑色字迹的钢笔或签字笔填写准考证号、姓名、试室号、座位号,再用2B 铅笔把试室号、座位号的对应数字涂黑.2.选择题每小题选出答案后,用2B 铅笔把答题卡上对应答案选项涂黑,如需改动,用橡皮擦擦干净后,再重新选涂其他答案,答案不能答在试卷上.3.非选择题必须用黑色字迹钢笔或签字笔作答,答案必须写在答题卡各题目指定区域内相应位置上;如需改动,先划掉原来的答案,然后再写上新的答案;不准使用铅笔和涂改液.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,将试卷和答题卡一并交回. 5.本试卷不用装订,考完后统一交县招生办(中招办)封存. 参考公式: 抛物线2y ax bx c =++的对称轴是直线2b x a=-, 顶点坐标是424b ac b a a 2⎛⎫-- ⎪⎝⎭,.一、选择题:每小题 3分,共 15 分.每小题给出四个答案,其中只有一个是正确的. 1.12-的倒数为( ) A .12B .2C .2-D .1-2.下列图案是我国几家银行的标志,其中不是..轴对称图形的是( )根据表中数据可知,全班同学答对的题数所组成的样本的中位数和众数分别是( ) A .8、8 B . 8、9 C .9、9 D .9、8 4.下列函数:①y x =-;②2y x =;③1y x=-;④2y x =.当0x <时,y 随x 的增大而减小的函数有( )A .1 个B .2 个C .3 个D .4 个 5.一个正方体的表面展开图可以是下列图形中的( )A .B .C .D . 港中数学网二、填空题:每小题 3分,共 24 分. 6.计算:2()a a -÷= .7.梅州是中国著名侨乡,祖籍在梅州的华侨华人及港澳台同胞超过360万人,360万用科学计数法表示为 .8.如图1,在O ⊙中,20ACB ∠=°,则AOB ∠=_______度.9.如图2 所示,五角星的顶点是一个正五边形的五个顶点.这个五角星可以由一个基本图形(图中的阴影部分)绕中心O 至少经过____________次旋转而得到, 每一次旋转_______度.10.小张和小李去练习射击,第一轮10发子弹打完后,两人的成绩如图3所示.根据图中的信息,小张和小李两人中成绩较稳定的是 .11.已知一元二次方程22310x x --=的两根为12x x ,,则12x x = ___________. 12.如图4,把一个长方形纸片沿EF 折叠后,点D C 、分别落在11 D C 、的位置.若65EFB ∠=°,则1AED ∠等于_______度.13. 如图5,每一幅图中有若干个大小不同的菱形,第1幅图中有1个,第2幅图中有3个,第3幅图中有5个,则第4幅图中有 个,第n 幅图中共有 个.A .B .C .D .C 图1图3 A E D C F B D 1C 1图4… … 第1幅 第2幅 第3幅 第n 幅 图5 港中数学网三、解答下列各题:本题有 10 小题,共 81 分.解答应写出文字说明、推理过程或演算步骤.14.本题满分 7 分. 如图 6,已知线段AB ,分别以A B 、为圆心,大于12AB 长为半径画弧,两弧相交于点C 、Q ,连结CQ 与AB 相交于点D ,连结AC ,BC .那么: (1)∠ ADC =________度;(2)当线段460A B A C B =∠=,°时,ACD ∠= ______度, ABC △的面积等于_________(面积单位).15.本题满分 7 分.星期天,小明从家里出发到图书馆去看书,再回到家.他离家的距离y (千米)与时间t (分钟)的关系如图7所示.根据图象回答下列问题:(1)小明家离图书馆的距离是____________千米; (2)小明在图书馆看书的时间为___________小时; (3)小明去图书馆时的速度是______________千米/小时.16.本题满分 7 分.计算:112)4cos30|3-⎛⎫++- ⎪⎝⎭°.17.本题满分 7 分. 求不等式组1184 1.x x x x --⎧⎨+>-⎩≥,的整数解.C BD A 图6Q(分)图7 港中数学网18.本题满分 8 分.先化简,再求值:2224441x x xx x x x --+÷-+-,其中32x =.19.本题满分 8 分.如图 8,梯形ABCD 中,AB CD ∥,点F 在BC 上,连DF 与AB 的延长线交于点G . (1)求证:CDF BGF △∽△; (2)当点F 是BC 的中点时,过F 作EF CD ∥交AD 于点E ,若6cm 4cm AB EF ==,,求CD 的长.20.本题满分 8 分.“五·一”假期,梅河公司组织部分员工到A 、B 、C 三地旅游,公司购买前往各地的车票种类、数量绘制成条形统计图,如图9.根据统计图回答下列问题:(1)前往 A 地的车票有_____张,前往C 地的车票占全部车票的________%;(2)若公司决定采用随机抽取的方式把车票分配给 100 名员工,在看不到车票的条件下,每人抽取一张(所有车票的形状、大小、质地完全相同且充分洗匀),那么员工小王抽到去 B 地车票的概率为______;(3)若最后剩下一张车票时,员工小张、小李都想要,决定采用抛掷一枚各面分别标有数字1,2,3,4的正四面体骰子的方法来确定,具体规则是:“每人各抛掷一次,若小张掷得着地一面的数字比小李掷得着地一面的数字大,车票给小张,否则给小李.”试用“列表法或画树状图”的方法分析,这个规则对双方是否公平?21.本题满分 8 分. 如图10,已知抛物线233y x x =+与x 轴的两个交点为A B 、,与y 轴交于点C . (1)求A B C ,,三点的坐标;D C FE A BG 图8图9地点 港中数学网(2)求证:ABC △是直角三角形; (3)若坐标平面内的点M ,使得以点M 和三点 A B C 、、为顶点的四边形是平行四边形,求点M 的坐标.(直接写出点的坐标,不必写求解过程)22.本题满分 10 分.如图 11,矩形ABCD 中,53AB AD ==,.点E 是CD 上的动点,以AE 为直径的O ⊙与AB 交于点F ,过点F 作FG BE ⊥于点G . (1)当E 是CD 的中点时:①tan EAB ∠的值为______________; ② 证明:FG 是O ⊙的切线;(2)试探究:BE 能否与O ⊙相切?若能,求出此时DE 的长;若不能,请说明理由.23.本题满分 11 分.(提示:为了方便答题和评卷,建议在答题卡上画出你认为必须的图形)如图 12,已知直线L 过点(01)A ,和(10)B ,,P 是x 轴正半轴上的动点,OP 的垂直平分线交L 于点Q ,交x 轴于点M . (1)直接写出直线L 的解析式;(2)设OP t =,OPQ △的面积为S ,求S 关于t 的函数关系式;并求出当02t <<时,S 的最大值;(3)直线1L 过点A 且与x 轴平行,问在1L 上是否存在点C , 使得CPQ △是以Q 为直角顶点的等腰直角三角形?若存在,求出点C 的坐标,并证明;若不存在,请说明理由.L 1xC B 图11 港中数学网2009年梅州市初中毕业生学业考试数学参考答案及评分意见一、选择题:每小题 3分,共 15 分.每小题给出四个答案,其中只有一个是正确的. 1.C 2.B 3.D 4.B 5.C 二、填空题:每小题 3分,共 24 分.6.a 7.63.610⨯ 8.40 9.4(1分),72(2分) 10.小张 11.12-12.50 13.7(1分),21n -(2分) 三、解答下列各题:本题有 10 小题,共 81 分.解答应写出文字说明、推理过程或演算步骤.14.本题满分7分. (1)90 ···································································································································· 2分 (2)30 ···································································································································· 4分······························································································································· 7分 15.本题满分 7 分. (1)3 ····································································································································· 2分 (2)1 ····································································································································· 4分 (3)15 ···································································································································· 7分 16.本题满分 7 分.解:112)4cos30|3-⎛⎫++- ⎪⎝⎭°.1342=++······································································································ 4分43=+-················································································································ 6分 4= ······································································································································ 7分17.本题满分 7 分.解:由11x x --≥得1x ≥, ······························································································ 2分 由841x x +>-,得3x <. ······························································································ 4 分 所以不等式组的解为:13x <≤, ···················································································· 6 分 所以不等式组的整数解为:1,2. ······················································································· 7 分 18.本题满分 8 分.解:2224441x x x x x x x --+÷-+-2(2)(2)(1)(2)1x x x x x x x -+-=+÷-- ············································· 3分212x x +=+- 港中数学网22xx =- ··································································································································· 6分 当32x =时,原式3226322⨯==--. ························································································ 8分 19.本题满分8 分.(1)证明:∵梯形ABCD ,AB CD ∥, ∴CDF FGB DCF GBF ∠=∠∠=∠,, ······················ 2 分∴CDF BGF △∽△. ···························· 3分(2) 由(1)CDF BGF △∽△,又F 是BC 的中点,BF FC = ∴CDF BGF △≌△, ∴DF FG CD BG ==, ················································ 6分又∵EF CD ∥,AB CD ∥,∴EF AG ∥,得2EF BG AB BG ==+. ∴22462BG EF AB =-=⨯-=, ∴2cm CD BG ==. ··········································································································· 8分 20.本题满分 8 分. 解:(1)30;20. ·············································································································· 2 分 (2)12. ···························································································································· 4 分或画树状图如下:共有 16 种可能的结果,且每种的可能性相同,其中小张获得车票的结果有6种: (2,1),(3,1),(3,2),(4,1),(4,2),(4,3), ∴小张获得车票的概率为63168P ==;则小李获得车票的概率为35188-=. ∴这个规则对小张、小李双方不公平. ························································ 8 分D C F EA BG19题图 1 2 3 4 1 1 2 3 4 2 1 2 3 4 3 1 2 3 4 4 开始 小张 小李 港中数学网21.本题满分 8 分.(1)解:令0x =,得y =(0C . ························································ 1分令0y =,得20x x ,解得1213x x =-=,, ∴(10)(30)A B -,,,. ·································································································· 3分(2)法一:证明:因为22214AC =+=,222231216BC AB =+==,, ························ 4分 ∴222AB AC BC =+, ··············································· 5分 ∴ABC △是直角三角形. ·········································· 6分法二:因为13OC OA OB ===,,∴2OC OA OB = , ··············································································································· 4分 ∴OC OB OA OC=,又AOC COB ∠=∠, ∴Rt Rt AOC COB △∽△. ································································································ 5分 ∴90ACO OBC OCB OBC ∠=∠∠+∠=,°, ∴90ACO OCB ∠+∠=°,∴90ACB ∠=°, 即ABC △是直角三角形. ····················································· 6 分(3)1(4M,2(4M -,3(2M .(只写出一个给1分,写出2个,得1.5分) ····································································· 8分22.本题满分 10 分.(1)①65····································································· 2分②法一:在矩形ABCD 中,AD BC =,ADE BCE ∠=∠,又CE DE =, ∴ADE BCE △≌△, ················································ 3分得AE BE EAB EBA =∠=∠,,连OF ,则OF OA =, ∴OAF OFA ∠=∠, OFA EBA ∠=∠, ∴OF EB ∥, ·················································································· 4 分 ∵FG BE ⊥, ∴FG OF ⊥, ∴FG 是O ⊙的切线 ································································································· 6分 (法二:提示:连EF DF ,,证四边形DFBE 是平行四边形.参照法一给分.) (2)法一:若BE 能与O ⊙相切, ∵AE 是O ⊙的直径, ∴AE BE ⊥,则90DEA BEC ∠+∠=°,又90EBC BEC ∠+∠=°, ∴DEA EBC ∠=∠,∴Rt Rt ADE ECB △∽△,22题图x21题图M 1 3 港中数学网∴AD DE EC BC =,设DE x =,则53EC x AD BC =-==,,得353xx =-, 整理得2590x x -+=. ······································································································· 8 分 ∵242536110b ac -=-=-<, ∴该方程无实数根.∴点E 不存在,BE 不能与O ⊙相切. ·········································· 10分 法二: 若BE 能与O ⊙相切,因AE 是O ⊙的直径,则90AE BE AEB ∠=⊥,°,设DE x =,则5EC x =-,由勾股定理得:222AE EB AB +=,即22(9)[(5)9]25x x ++-+=, 整理得2590x x -+=, ······································· 8分 ∵242536110b ac -=-=-<, ∴该方程无实数根.∴点E 不存在,BE 不能与O ⊙相切. ·········································· 10分 (法三:本题可以通过判断以AB 为直径的圆与DC 是否有交点来求解,参照前一解法给分) 23.本题满分 11 分.(1)1y x =- ························································································································ 2分 (2)∵OP t =,∴Q 点的横坐标为12t , ①当1012t <<,即02t <<时,112QM t =-, ∴11122OPQ S t t ⎛⎫=- ⎪⎝⎭△. ······································································································ 3分 ②当2t ≥时,111122QM t t =-=-, ∴11122OPQ S t t ⎛⎫=- ⎪⎝⎭△. ∴1110222111 2.22t t t S t t t ⎧⎛⎫-<< ⎪⎪⎪⎝⎭=⎨⎛⎫⎪- ⎪⎪⎝⎭⎩,,,≥ ······························································································ 4分当1012t <<,即02t <<时,211111(1)2244S t t t ⎛⎫=-=--+ ⎪⎝⎭, ∴当1t =时,S 有最大值14. ······························································································ 6分 (3)由1O A O B ==,所以OAB △是等腰直角三角形,若在1L 上存在点C ,使得CPQ△。
山东省实验中学2009级第二次诊断性测试物理答案

山东省实验中学2009级第二次诊断性测试物理试题(2011.10)选择题(每小题4分,共48分)1ACD 2AB 3A 4B 5BD 6D 7AC 8AD 9A 10ACD 11ABD 12BD13.(6分)2.5 0.2514.(9分)(1)BC (3分)(2)2)(21f S S + (2分) (3)])([212f s s g m -- (4分)15.解析:本块在滑板上做匀加速直线运动,设木块离开滑板前,加速度为a 1,速度为v 1位移为x 1,滑板的位移为x.对木块有a1=g 1μ……………………………………………………2分V 1=a 1t 1……………………………1分,x 1=21a 1t 21……………………………1分 又滑板有x 0=21at 21…………………………1分,又x 0-x 1=2L ……………………2分 木块离开滑板后做匀减速运动,设木块从离开滑板到静止时的位移为x 2.加速度为a 2, 对木块有a2=g 2μ-……………………………………2分0—21v =2a 2x 2………………………………………………1分联立以上各式,解得木块从开始运动到最后停止的位移为 m g a gl g a gl x x x 25.0)(2)(221122111=-+-=+=μμμμμ…………………………1分 16.解析:(1)小球做平抛运动,竖直方向,R (1+cos60°)21gt 2,……………………2分 到P 点的竖直分速度v y =gt ……………………………………………………2分 到P 点,速度方向与水平方向成60°,v y =3v 0…………………………2分代入t 解得v 0=gR …………………………………………………………2分 L=R 221……………………………………………………………………1分 (3)能. 小球A 从到达Q 时,根据机械能守恒定律可得v Q =v 0=3gR gR >,所以小球能通过圆弧轨道的最高点,………………2分17.解:(1)设滑块到达B 点的速度为v ,由机械能守恒定律,有s m gh v v m mgh /522,2122===....................................2分 (2)滑块在传送带上做匀加速运动,受到传送带对它的滑动摩擦力,有,ma mg =μ (1)分 滑块对地位移为L ,未速度为0v ,则L=a v v 2220-……………………2分。
2009届山东省实验中学理科综合(化学)

2009届山东省实验中学理科综合(化学)试题第I卷(选择题,共42分)可能用到的原子量:H-1,C-12,O-16,Na-23,Si-28,Cl-35.5,S-32,Cu-64,Ba-137。
一、单项选择题(本题包括7小题,共42分,每小题只有一个....选项符合题意)7.下列叙述正确的是A.使用PH试纸时,不能湿润,否则一定会使测定结果不准确B.金属钠着火时,可用干粉灭火器来扑灭C.镁铝合金被碱液腐蚀时,负极反应式为:Mg — 2e-= Mg2+D.检验溶液中是否含SO42-时,在无其它阳离子干扰时,所加的BaCl2溶液用盐酸酸化8.设阿伏加德罗常数为6.02×1023mol-1,则下列叙述正确的是A.1mol甲基中含有10N A个电子B.56g晶体硅中Si-Si的数目为4×6.02×1023个C.1L1mol/L的醋酸溶液中离子总数为2N AD.0.5mol Na2O2与足量的H2O反应,转移的电子数为6.02×1023个9.下列分析或结论正确的是A.纯水加热至较高温度,水的离子积变大,PH变小,呈中性B.通常不能用其气态氢化物稳定性的强弱作为判断两种元素非金属性强弱的依据C.氯气和二氧化硫均分别作漂白剂,若同时使用它们去漂白某一湿润的物质,漂白效果会明显增强D.为了检验乙醇中是否含有甲酸,可向其中加入一定量的银氨溶液共热,如果发现没有银镜产生,则证明其中无甲酸10.下列反应的离子方程式书写正确的是A.氯化铝溶液中加入过量氨水:Al3++4NH3·H2O=AlO2-+4NH4++2H2OB.澄清石灰水与过量苏打溶液混合:Ca2++OH-+HCO3-=CaCO3↓+H2OC.碳酸钙溶于醋酸:CaCO3+2H+=Ca2++CO2↑+H2OD.氯化亚铁溶液中通入氯气:2Fe2++Cl2=2Fe3++2Cl-11.下列事实不能用勒沙特列原理解释的是①氯化铁溶液加热蒸干最终得不到氯化铁固体;②铁在潮湿的空气中容易生锈;③实验室可用排饱和食盐水的方法收集氯气;④常温下,将1mL pH=3的醋酸溶液加水稀释至100mL,测得其pH<5;⑤钠与氯化钾共融制备钾Na(l)+KCl(l)K(g)+NaCl(l);⑥二氧化氮与四氧化氮的平衡体系,加压后颜色加深A.①②③B.②⑥C.①③④⑤D.②⑤⑥2232H O BaCl mg n −−−→−−−−−−−−→−−→−−−−−−−−→过量溶液水低温烘干、冷Na CO 和Na 却样品溶液沉淀固体克溶解过滤洗涤称量Cl12.下列说法不正确的是A .聚氯乙烯保鲜膜最适合用来包装蔬菜、水果及熟食B .石油主要是由各种烷烃、环烷烃、芳香烃组成的混合物,没有固定的熔点C .在镀件上镀铜时金属铜做阳极D .水玻璃保存在带橡皮塞的试剂瓶中13.常温下,下列各组数据中比值为2:1的是A .Na 2CO 3溶液中c (Na +)与c (CO 32-)之比B .0.2 mol ·L -1的CH 3COOH 溶液与0.1 mol ·L -1的盐酸中c (H +)之比C .pH=7的氨水与(NH 4)2SO 4的混合溶液中,c (NH 4+)与c (SO 42-)之比D .pH=12的Ba(OH)2溶液与pH=12的KOH 溶液中溶质的物质的量浓度之比第II 卷(非选择题,共58分)28.(14分)以海水中常见物质A 为原料可以发展很多种工业,下图中包含了中学课本中介绍的几种基本工业生产,请根据各物质之间的转化关系回答下列问题:(1)C 和D 、C 和G 反应都可以制取消毒剂。
2009年毕业年级会考及中考模拟试题参考答案及评分标准

2009年初中毕业会考理科综合试题(物理部分)参考答案及评分标准一、 选择题二、填空题1.力可以改变物体的运动状态 物体间力的作用是相互的 电磁波 惯性 2.化学能→内能(或光能、机械能和声能) 光速比声速快 电磁波3.A 等于 4.每消耗1度电,表盘转2500转(其它说法只要合理即可) 50.9 28.5 三、作图题5.每画对一条光线得1分 6.浮力方向和大小各1分四、实验与探究7.(1)铁球………(1分) 质量…………(1分) (2)木块被撞击后移动距离的远近…………(1分) (3)不能……(1分)木块沿水平面以恒定的速度持续地运动下去,无法比较距离(表述合理即可)……(1分) 8.(1)c 与e 相连,d 与f 相连……(1分) (2)没有将滑片置于最大阻值处……(2分) (3)导线df 未连接好或在某处断开…………(2分)(4)从左向右依次是0.1 0.18 0.3 0.42 0.5…………(1分) 电阻一定时,通过导体的电流跟导体两端的电压成正比…………(2分) (5)5Ω…………(1分)(6)(2分)五、计算题9.解:(1)由图知重物有3股绳子承担,所以s =3h =9m …………(1分)F 浮=800N由公式η=W有/W总…………(1分)η=Gh/Fs=mgh/Fs=1.2×103kg×10N/kg×3m/(8000N×9m)=50%…………(1分)(2)由公式W=Fs=8000N×9m=7.2×104J…………(1分)由P=W/t=7.2×104J/4s=1.8×104W…………(1分)(3)由公式η/=W/W总=W/m/q…………(1分)m/=W/η/ q=7.2×104J/(40%×4×107J/kg)=4.5×10-3kg=4.5g…………(2分)10.(其它解法只要合理即可)解:电热器通过的最大电流为5A时,每分钟放出的热量由公式Q=W=UIt…………(1分)Q=220V×5A×60s=6.6×104J…………(2分)设这些热量能把质量为m的水从16℃加热到38℃,则有Q=cm(t2-t1)……(1分)m=Q/c(t2-t1)=6.6×104J/4.2×103J/(kg·℃)×(38℃-16℃)=0.71kg……(2分)由题目可知,电热器每分钟所需加热水的质量m/=ρ水v=1.0×103kg/m3×4×10-3m3=4kg…………(2分)通过比较:m< m/,因此家庭电路中不宜使用无水箱式电热淋浴器。
山东省实验中学中考数学总复习综合提高水平测试试卷三(含答案)

2009年初中毕业模拟试卷数 学本试卷分第Ⅰ卷(选择题)和第Ⅱ卷两部分.第Ⅰ卷1至2页,第Ⅱ卷3至8页.共150分.考试时间120分钟.考试结束,将本试卷和答题卡一并交回.第Ⅰ卷(选择题 共36分)注意事项:1.答第Ⅰ卷前,考生务必将自己的姓名、考试号、科目名称用2B 铅笔涂写在答题卡上.2.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,再选涂其它答案.不能答在试卷上. 一、选择题(本题共12小题;每小题3分,共36分)下列各题都有代号为A 、B 、C 、D 的四个结论供选择,其中只有一个结论是正确的. 1. 在下列方程中,有实数根的是( )A.2310x x ++=1=- C.2230x x ++=D.111x x x =-- 2. 二次函数()213y x =--+图象的顶点坐标是( )A.()13-,B.()13,C.()13--,D.()13-,3. 如图,有一个正方体纸盒,在它的三个侧面分别画有三角形、正方形和圆,现用一把剪刀沿着它的棱剪开成一个平面图形,则展开图可以是( )4. 学校开展为贫困地区捐书活动,以下是八名学生捐书的册数:2,2,2,3,6,5,6,7,则这组数据的中位数为( )A .2B .3C .4D .4.5 5. 如图,P 是反比例函数y =6x在第一象限分支上的一个动点,PA ⊥x 轴,随着x 的逐渐增大,△APO 的面积将( )A .增大B .减小C .不变D .无法确定 6. 在下列命题中,真命题是( )A.两条对角线相等的四边形是矩形 B.两条对角线互相垂直的四边形是菱形第5题第11题第12题C.两条对角线互相平分的四边形是平行四边形 D.两条对角线互相垂直且相等的四边形是正方形 7.下列一组几何体的俯视图是()8.我国“杂交水稻之父”袁隆平主持研究的某种超级杂交稻平均亩产820千克.某地今年计划栽插这种超级杂交稻3000亩,预计该地今年收获这种超级杂交稻的总产量(用科学记数法表示)是( ) A .62.510⨯千克 B .52.510⨯千克 C .62.4610⨯千克 D .52.4610⨯千克 9.分解因式a ab -2的结果是( )A .(1)(1)a b b +-B .2(1)a b + C .2(1)a b - D .(1)(1)b b +- 10.若不等式组⎩⎨⎧>-<+mx x x 148的解集是x >3,则m 的取值范围是( )A .m >3B .m ≥3C .m ≤3D .m <3 11.正方形ABCD 中,E 、F 分别为AB 、BC 的中点,AF 与DE 相交于点O ,则AODO=( ) A .13 B C .23 D .12 12.如图,一个等边三角形的边长和与它的一边相外切的圆的周长相等,当这个圆按箭头方向从某一位置沿等边三角形的三边做无滑动旋转,直至回到原出发位置时,则这个圆共转了 A .4圈 B .3圈 C .5圈 D .3.5圈第Ⅱ卷(共114分)注意事项:用钢笔或圆珠笔直接答在试题卷中(除题目有特殊需要外). 二、填空题(本题共6小题;每小题4分,共24分)请把最后结果填在题中横线上.13. 如图6,AB CD ∥,EG 平分BEF ∠,若260∠=,则1∠= °.得分 评卷人AE BCF G D12 图614.为了迎接第四届中国南通港洽会,市政府计划用鲜花美化通城.如果1万平方米的空地可以摆放a 盆花,那么200万盆鲜花可以美化 万平方米的空地. 15.如图7,有反比例函数1y x =、1y x=-的图象和一个以原点为圆心,2为半径的圆,则S =阴影.16.当c =__________时,关于x 的方程2280x x c ++=有实数根.(填一个符合要求的数即可)17. 如图8,AB 是半圆O 的直径,∠BAC =30°,BC 为半圆的切线,且BC=O 到AC 的距离是 . 18.请选择一组你自己所喜欢的a b c ,,的值,使二次函数y =2(0)ax bx c a ++≠的图象同时满足下列条件:①开口向下,②当x <-2时,y 随x 的增大而增大;当x >-2时,y 随x 的增大而减小.这样的二次函数的解析式可以是.三、解答题(本题共3小题;共19分)19.(本小题6分)计算:)2(2)(2006)2245---π+.20.(本小题6分)化简:222121111xx x x x ++----,其中1x =.21.(本小题7分)某科技馆座落在山坡M 处,从山脚A 处到科技馆的路线如图9所示.已知A 处海拔高度为103.4m ,斜坡AB 的坡角为30°,AB =40m ,斜坡BM 的坡角为18°,BM =60m ,那么科技馆M 处的海拔高度是多少?(精确到0.1m ) (参考数据:sin18°=0.309 cos18°=0.951 tan18°=0.324图7CBOA图8 3018ABM 图922.(本小题8分)甲、乙两人用如图所示的两个分格均匀的转盘做游戏:分别转动两个转盘,若转盘停止后,指针指向一个数字(若指针恰好停在分格线上,则重转一次),用所指的两个数字作乘积,如果积大于10,那么甲获胜;如果积不大于10,那么乙获胜.请你解决下列问题: (1)利用树状图(或列表)的方法表示游戏所有可能出现的结果; (2)求甲、乙两人获胜的概率.23.(本题满分10分)亮亮和颖颖住在同一幢住宅楼,两人准备用测量影子的方法测算其楼高,但恰逢阴天,于是两人商定改用下面方法:如图,亮亮蹲在地上,颖颖站在亮亮和楼之间,两人适当调整自己的位置,当楼的顶部M ,颖颖的头顶B 及亮亮的眼睛A 恰在一条直线上时,两人分别标定自己的位置C ,D .然后测出两人之间的距离1.25m CD =,颖颖与楼之间的距离30m DN =(C ,D ,N 在一条直线上),颖颖的身高 1.6m BD =,亮亮蹲地观测时眼睛到地面的距离0.8m AC =.你能根据以上测量数据帮助他们求出住宅楼的高度吗?第22题图 MNBA C D第23题图24.(本题满分10分)翻译一份文稿,用某种电脑软件翻译的效率相当于人工翻译的效率的75倍,电脑翻译3300个字的文稿比人工翻译少用2小时28分.求用人工翻译与电脑翻译每分钟各翻译多少个字?25.(本题满分10分)如图,在ABCD 中,点E F ,分别在BC AD ,上,在不添加辅助线的情况下,请你添加一个..适当的条件,使ABE △和CDF △全等,你添加的条件是 ,并给出你的证明. 证明:第25题图26.(本题满分10分)已知:如图,ABC △内接于O ,点D 在OC的延长线上,1sin 2B =,30CAD ∠=. (1)求证:AD 是O 的切线;(2)若OD AB ⊥,5BC =,求AD 的长.27.(本题满分10分)某公司年初推出一种高新技术产品,该产品销售的累积利润....y (万元)与销售时间x (月)之间的关系(即前x 个月的利润总和y 与x 之间的关系)为212(0)2y x x x =->. (1)求出这个函数图象的顶点坐标和对称轴;(2(3 品销售累积利润是从什么时间开始盈利的?(4)这个公司第6个月所获的利润是多少?第26题图七、解答题(本题共1小题;共13分)28.(已知双曲线k y x =与直线14y x =相交于A 、B 两点.第一象限上的点M (m ,n )(在A 点左侧)是双曲线ky x=上的动点.过点B 作BD ∥y 轴交x 轴于点D .过N (0,-n )作NC ∥x 轴交双曲线ky x=于点E ,交BD 于点C .(1)若点D 坐标是(-8,0),求A 、B 两点坐标及k 的值.(2)若B 是CD 的中点,四边形OBCE 的面积为4,求直线CM 的解析式.(3)设直线AM 、BM 分别与y 轴相交于P 、Q 两点,且MA =pMP ,MB =qMQ ,求p -q 的值.(第28题)2009年初中毕业数学考模拟试卷参考答案一、选择题 1 2 3 4 5 6 7 8 9 10 11 12 A B CCCCBCACDA二、填空题 13.60° 14.2000000a15.2π 16.-24(答案不唯一) 17.3 18. 242x x ---(答案不唯一)三、解答题19.解:原式41342=-+-- ··············································· 3分 21=- ············································································· 5分 1= ·················································································· 6分20.解:原式()()()21211111x x x x x +=--+-- ············································ 2分 ()()2221221111x x x x x x +---=-=--- ······················································ 3分 ()231x x -=- ···················································································· 4分当1x =时,原式23=························································ 6分 21.解:过B 向水平线AC 作垂线BC ,垂足为C ,过M 向水平线BD 作垂线MD ,垂足为D (如右图),则11402022BC AB ==⨯=.s i n 18M D B M = 600.3=⨯ 18.5=. ∴科技馆M 处的海拔高度是:103.42018.54141.94141.9(m)++=≈.3018 AB M DC22.解:(1)树状图法或列表法:(注:学生只用一种方法即可) (2)()()1233P P ==甲乙,. 23.解:设人工翻译每分钟翻译x 个字,则电脑翻译每分钟翻译75x 个字,依题意,得330033002602875x x-=⨯+ . 解之,得22x =.经检验,22x =是原方程的解. 7575221650x ∴=⨯= ,符合题意.答:用人工翻译每分钟翻译22个字,电脑翻译每分钟翻译1 650个字.24.解:过A 作CN 的平行线交BD 于E ,交MN 于F .由已知可得0.8mF N E D A C ===, 1.25m AE CD ==,30m EF DN ==,90AEB AFM ==∠∠.又BAE MAF =∠∠,ABE AMF ∴△∽△.BE AEMF AF ∴=. 即1.60.8 1.251.2530MF -=+. 解得()20m MF =.()200.820.8m MN MF FN ∴=+=+=. 所以住宅楼高为20.8m .25.解:条件BE DF =(答案不唯一)证明:四边形ABCD 是平行四形 A B C D∴= B D =∠∠ 又BE DF = ABE CDF ∴△≌△(备注:给出的条件只要能证明结论就给3分) 26.解:(1)证明:如图,连结OA .因为1sin 2B =,所以30B ∠=.⨯1 2 3 4 4 8 12 551015开始45141424284312⨯=⨯=⨯=,,,31515252105315⨯=⨯=⨯=,,,3A BMF E CDN故60O ∠=.又OA OC =,所以ACO △是等边三角形. 故60OAC ∠=. 因为30CAD ∠=, 所以90OAD ∠=.所以AD 是O 的切线.(2)解:因为OD AB ⊥, 所以OC 垂直平分AB .则5AC BC ==. 所以5OA =.在OAD △中,90OAD ∠=,由正切定义,有tan ADAOD OA∠=.所以AD = 27.解:(1)由2211(4)(2)222y x x x =-=--.∴函数图象的顶点坐标为(22)-,,对称轴为直线2x =.(2)如右图. (3)从函数图象可以看出,从4月份开始新产品的销售累 积利润盈利.(4)5x =时,21525 2.52y =⨯-⨯=,6x =时,2162662y =⨯-⨯=,6 2.5 3.5-=.∴这个公司第6个月所获的利润是3.5万元.28.解:(1)∵D (-8,0),∴B 点的横坐标为-8,代入14y x =中,得y =-2. ∴B 点坐标为(-8,-2).而A 、B 两点关于原点对称,∴A (8,2). 从而8216k =⨯=.(2)∵N (0,-n ),B 是CD 的中点,A 、B 、M 、E 四点均在双曲线上, ∴mn k =,B (-2m ,-2n),C (-2m ,-n ),E (-m ,-n ). S 矩形DCNO 22mn k ==,S △DBO =1122mn k =,S △OEN =1122mn k =,∴S 四边形OBCE = S 矩形DCNO -S △DBO - S △OEN =k .∴4k =. 由直线14y x =及双曲线4y x=,得A (4,1),B (-4,-1), ∴C (-4,-2),M (2,2).设直线CM 的解析式是y ax b =+,由C 、M 两点在这条直线上,得42,2 2.a b a b -+=-⎧⎨+=⎩ 解得23a b ==. ∴直线CM 的解析式是2233y x =+. (3)如图,分别作AA 1⊥x 轴,MM 1⊥x 轴,垂足分别为A 1、M 1. 设A 点的横坐标为a ,则B 点的横坐标为-a111A M MA a m p MP M O m-===. 同理MB m a q MQ m +==, ∴2a m m a p q m m -+-=-=-.(第28题)。
2009-2010学年试验中学第一学期高二年级测试

2009-2010学年度山东省实验中学第一学期高二年级测试英语试卷(第六模块结业考试)第Ⅰ卷(选择题,共105分)第一部分听力(共两节,满分30分.基础题18分,发展题12分)第一节(共5小题;每小题1.5分,满分7.5分)听下面5段对话.每段对话后又一个小题,从题中所给的A、B、C三个选项中选出最佳选项,并标在试卷的相应位置.听完每段对话后,你都有10秒钟的时间来问答有关小题和阅读下一小题.每段对话仅读一遍.1.How old is Anita now?A.15B.21 C.352.What does the woman mean?A.The game just begins.B.She knew who the winner is.C.It’s high time that they went to watch the game.3.Which of the following statements is true?A.The man was talking to the stranger.B.The stranger asked the mall and the woman the way.C.Neither the woman nor the stranger knows where the bus stop is.4.How long must the woman and the man wait outside the shop?A.15 minutes B.45 minutes:C.50 minutes.5.What do we learn from the talk?A.The Science Museum isn’t free any more.B.The Science Museum is free as it used to be.C.The Science Museum was closed.第二节(共15小题;+每小题1.5分,满分22.5分)听下面5段对话或独白.每段对话或独白后有几个小题,从题中所给的A、B、C三个选项中选出最佳选项,并标在试卷的相应位置.听每段对话前,你将有时间阅读各个小题,温馨提示:同学们,在选做完100分的基础题后,就挑战一下发展题吧,祝你们挑战成功!每小题5秒钟;听完后,各小题将给出时间.每段对话读两边.听第6段材料,同答第6至第8题.6.How many children are there in Tom’s family?A.7 B.8 C.97.What does his mother do?A.She owns a bake house.B.She runs a small family-store.C.She works at a bread shop.8.Which thing does Thomas NOT say?A.His brothers and sister help his mum.B.His mum sells food like eggs and sugar.C.His mother enjoys her job very much.听第7段材料,回答第9至第11题.9.When did the traffic accident take place?A.About 6:00.B.About 7:30.C.About 7:00.10.Who was killed in the traffic accident?A,Milton Green.B.Frank Miller.C.Jack Smith.11.Where did the fire break out?A.At the corner of No.104 Freeway.B.At the corner of the 4th Freeway.C.At the corner of the 4th Street.听第8段材料,回答第12至第14题.12.Why is the man asking about Professor Williams?A.The man is going to take the professor’s course.B.The man is going to discuss with the professor.C.The man is going to work for the professor.13.How old is Professor Williams?A.In his sixties. B.In his fifties.C.In his forties.14.What’s Professor Williams like?A.Short and thin.B.Tall and thin.C.Old and untidy.听第9段材料,回答第15至17题.15.According to the dialogue,what kind of weather is usual for April?A.Cool.B.Very hot.C.Dry.16.How often should the bus come to the stop?A.Every twenty minutes.B.Every half an hour.C.Twice a day.17.Where are they now?A.In Florida.B.In San Francisco.C.Miami.听第10段材料,回答第18至第20题.18.How often do the average British women worry about their size and shape?’A.Every 10 minutes.B.Every waking minute.C.Every 15 minutes.19.Which part of the body did two per cent of the 5 000 women seem pleased with?A.The ankles.B.The neck.C.The breast.20.What does Today’s survey show?A.Women are made miserable by their bodies.B.Women are going to spend much more money on their bodies.C.Many women are about to be on diet.第二部分英语知识运用(共两节,满分35分,基础题22分,发展题13分)第一节语法和词汇(共15小题;每小题1分,满分15分)从A、B、C、D四个选项中,选出可以填入空白处的最佳选项.例:Mr.Smith owns______ collection of coins than anyone else I have ever met.A.larger B.a larger C.the larger D.large答案是B.21.-How many visitors,roughly speaking,come to visit the city zoo per day?-Well,a great many indeed,but l can’t tell______ number.A.a B.the C.in D.for22.The car broke down halfway.I______ there was something wrong with the engine.A.doubted B.suspected C.informed D.demanded 23.______ in his work,Ken simply forgot food and sleep.A.Devoted B.Attracted C.Absorbed D.Contributed 24.______ you ask many different questions will you acquire all the information you need to know.A.As long as B.On condition that C.Only because D.Only when 25.Gloria failed to pass the interview at the first______,but she was determined to try one more time.A.attempt B.tendency C.try D.guarantee 26.Since the gas______, we have to drive to a nearby filling station as soon as possible.A.has run out B.has been run outC.is running out D.is running out of27.I______ several pairs of NIKE shoes,but unluckily none fit me well.A.tried out B.tried on C.tried for D.tried off 28.In order to______ more customers, most shops offer discounts.A.appeal to B.subscribe to C.contribute to D.adopt to 29.-It’s the first time I’ll show up on the stage.-You’ve got plenty of practice,so______.A.mind your performance.B.take it easyC.nothing serious D.forget it30.My husband could not be here tonight, but I want to thank you ______ him.A.on ground of B.in spite of C.in favor of D.on behalf of 31.When the police_________ arrived on the spot,the suspect car had run off.A.eventually B.particularly C.actually D.absolutely 32.It is______ of Candace to keels silent whenever asked about her parents.A.flexible B.appropriate C.typical D.potential 33.Huge quantifies of fossil oil ______ _throughout the world, especially industrial,countries,which has resulted in the increase in carbon dioxide.A.has burned B.have burnedC.have burned D.have been burned34.Almost everybody in the town knows the secret.I’d rather you ______let it out.A.haven’t B.hadn’t C.didn’t D.shouldn’t 35.-I haven’t seen the movie AVATAR, which is said to be well worth seeing.-Oh,really? How I______ I had seen it.A.wish B.expect;C.hope D.desire第二节完形填空(共20小题;每小题1分,满分20分)阅读下面短文,掌握其大意,然后从36-55各题所给的四个选颂(A、B、C和D)中,选出最佳选项.Last week,my teacher Mona Grant asked mc to prepare an oral report about any insect or animal that I wanted to.I thought of making my 36 about mariquitas. After asking some people I 37 it was called ladybug, My presentation had to be about ladybug behavior.For instance,I discovered that 38 ladybugs are born,they come out of the pups and their shells are orange,soft,and damp.I also found out that they have two sets of 39 .When the wings dry off, they can fly.40 interesting thing I learned is,that when the baby ladybugs hatch,they eat 30 aphids per day.In the United States there are 17 41 of ladybugs.They spend the winter months in acluster;In spring,they move outside to 42 their prey(猎物).All this information is really interesting for me 43 I had never really thought about it before.I spent a lot of time 44 my presentation because I had to talk 7 to 10 minutes in front of my classmates.45 ,I was going to be graded by my teacher.46 is well known to everybody that it is not very easy to give on oral report,especially in another 47 that you are just learning.I really wanted to make a great presentation,so I made a(an)48 of a ladybug to 49 the class.I used paper,glue and markers in order to-make a beautiful ladybug.I had to explain the 50 of the new vocabulary,and I wanted to 51 the attention of my audience;I made some posters with the new words that l wanted to teach the students.I 52 a whole week to the preparation and 53 ,it was really great.My teacher 54 that it was a good idea to use flash cards,and visual aids.She also advises I should be careful with my pronunciation of some words,but on the whole I think the presentation 55 well.36.A.insect B.preparation C.presentation D.plan 37.A.worked out B.found out C.tried out D.pointed out 38.A.when B.after C.until D.unless 39.A.feet B.legs C.wings D.tails 40.A.The other B.Another C.Any D.All 41.A.groups B.series C.variety D.species 42.A.settle B.locate C.place D.lay 43.A.before B.if C.as D.so 44.A.searching for B.longing for C.waiting for D.preparing for 45.A.Therefore B.Otherwise C.Besides D.Especially 46.A.As B.What C.It D.Which 47.A.language B.way C.manner D.country 48.A.type B.example C.model D.copy 49.A.help B.show C.inform D.warn 50.A.function B.origin C.meaning D.pronunciation 51.A.drive B.fix C.focus D.catch 52.A.took B.spent C.devoted D.spared 53.A.as a matter of fact B.as a result C.on the other hand D.after all 54.A.commented B.marked C.criticized D.declared 55.A.got off B.got along C.made out D.went out第三部分阅读理解(共20小题;每小题2分,满分40分.基础题30分,发展题10分)阅读下列短文,从题中所给的四个选项(A、B、C和D)中,选出最佳选项.AAll of us eat every day, but most of us don't understand nutrition.We often make mistakes in talking about good diet.For example,many people think that foods such as rice,bread and potatoes will make one grow fat.In fact, these foods are very good to one’s health.They are good sources of many vitamins.And in comparison with steak and beef, they contain less amount of calories.Some people don’t like canned or frozen vegetables,because they think fresh vegetables cooked at home are always better.This is again wrong.In fact whether the vegetables are good or not depends more oil how they are prepared.Over cooking, for example, destroys many good qualities of vegetables.Vegetables cooked in too much water can lose a large amount of vitamins.It is widely believed extra vitamins provide more energy.But taking more than the body needs doesn't make it function better.It is also wrong to say that vegetables grown in poor,worn-out soil are lower in vitamins than vegetables grown in rich soil.The vitamins in our foods are in the plants themselves.They don’t come from the soil.However,the minerals in a plant depend on the minerals in the soil.In short, there are many false ideas about nutrition.We need to correct them.56.Rice,bread and potatoes do good to people’s health mainly because________.A.they make people fat B.there are lot of vitamins in themC.they contain large amount of calories D.they provide vitamins57.Some people don’t like canned or frozen vegetables because________.A.they think fresh vegetables contain less vitaminsB.they think fresh vegetables contain more vitamins than the canned or frozen onesC.they don’t think the canned or frozen vegetables are freshD.they don't think the canned or frozen vegetables taste as gem as the fresh ones 58.Which of the following is true according to the passage?A.Many people know almost everything about nutrition.B.Food such as rice,bread and potatoes make people fat.C.Soil doe sn’t necessarily affect vitamins in vegetables.D.Extra vitamins provide less energy.59.The point of the passage is that________.A.the minerals in a plant depend on the minerals in the soilB.people make mistakes when talking about good dietC.taking more vitamins than the body needs doesn't make it function betterD.vegetables cooked in too much water can lose a large amount of vitaminsBThe first people who gave names to hurricanes were those who knew them-the people of Puerto Rico.The small island of Puerto Rico is in the west Indiana, off the coast of Florida.This is where all the hurricanes begin that strike the east of the United States.The people of Puerto Rico expect some of these unwelcome visitors every year.Each one is named after the saint's day on which it arrives.Two of the most serious storms were the Santa Ana in 1925 and the San Ciriaca in 1899.Giving girl’s flames to hurricanes is a fairly new idea.It all began with a story called“storm”written by George Steward in 1941.In it a weatherman enjoyed himself by naming storms after girls he knew.He named one Maria.The story describes how Maria grew and developed,and how she changed the lives of people when she struck the United States.Weatherman of the U.S.A.Army and Navy used the system during the World Wa rⅡ.One of their duties was to warn American ships and planes when a storm was coming.Whenever they stopped one,they gave it a girl’s name.The first one was given a name beginning with A.The second one got a name beginning with B.They used all the letters from A to W.This was the first list of hurricane names that followed the alphabet.60.The“unwelcome visitors”in the first paragraph refers to______.A.the people of the USA B.the girlsC.hurricanes D.weathermen61.Hurricane was first named after the________.A.date on which they came B.place they beganC.girl called Maria D.weatherman's name62.The story“storm”was written by______.A.a weatherman B.MariaC.George Steward D.a Puerto Rica man63.As weather man of the U.S.Army and Navy one of their duties was________.A.to describe the weather every dayB.to give messages to the people in the cityC.to give warnings to ships and planes when a hurricane was on its wayD.giving orders for the planes and ships64.Hurricanes were first given a girl’s name by a_______.A.writer B.doctor C.professor D.WeathermanCA young boy with golden hair was lost.His name was Leonardo da Vinci,He came from an Italian village.His parents thought they would never see their son again.The men of the village went out to look for him.They were afraid he was lost in the mountains near the village.At last Leonardo came back.His eyes showed that he was happy.He was smiling.“My son.where have you been?”said his father.His mother was crying.”We thought you had fallen down the mountain.”“It was very nice,”said Leonardo.He was still smiling.”Yes,I did get lost and l came to a big dark cave.Oh, how black it was! I was afraid because it was so dark.But I also knew that there must be some beautiful things hidden inside.I must go back there soon.I want to paint it just as black and beautiful as I saw it.Will you come with me,father?'‘“How foolish you are,Leonardo!”His father said.”It was dangerous to be up there.“And you want to go back.Now forget your painting and read your books.”“Yes,father,”answered the boy sadly.Leonardo da Vinci was born to be a great painter.He loved the beautiful countryside near his home.He was out all the time looking at the SUB and hills and mountains.He liked to be with people.He saw how their faces changed when they were happy or sad.He always painted what he saw.He wanted to know more about painting.He asked his father to let him be the student of a great painter.But the answer was always no.His father thought that he should become a rich man.And most of Italy’s painters were very poor.Then Leonardo thought of all idea.He took a piece of wood to his room and painted it black,It was as dark as his mountain cave.Leonardo never went back to that cave.He never saw what was inside.But he remembered that he was afraid when he saw it.So he added new colors to his painting.He added red,yellow, orange,and green.Then he put the painting near the window and called his father.What the man saw made him afraid.“Don’t be afraid, Father,”laughed the boy.“I painted it myself.And I know that I can do better work if you will only let me learn painting.”“Leonardo,your painting is good.But you must always try to do better’”his father told him.“Yes,you may learn painting.You may become a great painter one day.”For the next fifty years,da Vinci painted beautiful things.When he died some of his paintings were found unfinished.He had wanted to make each one better than before.Leonardo da Vinci was one of the greatest painters in the history of the world.65.The young boy was lost one day.He had________.A.gone to another village B.gone to paint a mountainC.fallen down a mountain D.gone to a big,dark cave 66.Leonardo wanted to return to the cave because________.A.there were some beautiful things mere B.his father had told him to go there again C.he wanted to paint it D.he had left something then 67.Which of the following statements is NOT true?A.Leonardo became a great painter when he was still a child.B.Leonardo loved his native countryside.C.Leonardo spent a lot of time looking at the sun and hills.D.Leonardo wanted to be the student of a great painter.68.When he asked his father to let him learn from a great painter, his fatherA.gave no answer B.did not agreeC.sent him to a college immediately D.agreed at once69.At last Leonar do’s father believed that Leonard o________.A.could paint caves very well B.would be a rich manC.was born to be a great painter D.might become a great painter one day 70.When Leonardo died,people found________.A.all his paintings were finished B.none of his paintings were finishedC.many of his paintings were lost D.some of his paintings were unfinishedDHigh School students are some of the busiest people in the world.To get the most from all you do,you must be in control of your time,Otherwise decisions that effect how well you play the game,what position you play and when you get to play will be decided for you.Your success in high school depends on your rise of time.While you probably have not control over you’re your classes are scheduled,you do have control of the rest of your time.Here are some important things to remember.Begin each semester by filling in a master schedule.First fill in things you must do(classes,work,practice, etc.that you can’ change).Then,analyze the blanks you have left to find the most effective use for these times.Establish a regular time and place for study.This will save you time in the long run because you will have“programmed”you mind that“this is the time and place that I study.”If you have a study hall during school,USE IT!!Use daylight hours to study whenever possible.For most people for every hour of study donein daylight hours,it will take them one and a half hours to do the same task at night.Keep a date book and write down all class assignment.Take breaks.Don’t schedule marathon study session.Several short 50 minutes sessions are better that one long session.By using flash cards or summary sheets,you can use odd times to study-while you’re waiting for class to start or for a friend to pick you up.If possible,schedule study time with a partner.Choose your partner wisely however.Make sure you study,not socialize.If you schedule this just like you would soccer practice,or music lesson,it become routine.Schedule the most difficult tasks for times when you are alert.(Algebra may be hard enough when you’re fresh.When you’re tire, it will be impossible!)Make a daily checklist.Set priorities.Do the most important tasks first.71.If the passage is taken from a school newspaper, in which part would it probably appear?A.Leisure and Entertainment B.Campus TrendsC.Help and Advice D.Fun Time72.The underlined word“odd”in Paragraph 8 probably means“_______”.A.strange B.irregular C.busy D.divided 73.According to the passage,your success in high school chiefly lies in_______.A.making full use of your time B.your hard workC.your brainpower D.how well you play the game74.We should use daylight hours to study whenever possible because_______.A.school study halls are open to students only in the daytimeB.most people Can spare more time to study in the daytimeC.it’s more difficult to study effectively at nightD.we have more important things to do than study at night75.On how to use our time,we should follow the following suggestions EXCEPT_______.A.working out a complete plan for the whole termB.keeping a good balance between study and restC.putting the most important tasks firstD.trying to study alone instead of working with others第Ⅱ卷(非选择题,共45分)第四部分书面表达(共二节,满分45分.基础题30分,发展题15分)(请将答案写在答题纸上)第一节阅读表达(共5小题;每小题3分,满分15分)阅读下面的短文,并根据短文后的要求答题(请注意问题后的字数要求).[1]Learning to save money when you're young is an important lesson.All good lessons and habits begin early,and saving is a skill that everyone needs.Many people-adults included-do not have a good sense of saving for the long run.I have been lucky to learn this lesson early because I have had a grass cutting business since I was 10 years old.Of the money I make I spend about 10 percent and save the other 90.[2]Making sure you save and don’t spend too much is a good way to build up wealth.I have put my earnings in a bank.Many teens I know spend all the money they earn so it never has a chance to grow.Young people should realize that their teenage years are a great time to begin saving.[3]If you have a job at a high school,you should have fun with some of the money.But you should also save some so that it will grow.Then you can begin planning for your future.When you spend money,you not only lose that money,but lose the interest you could have earned by saving it.[4]After high school,college is expensive and then“real”life begins,with expenses such as food and rent.If you can hold onto a good percentage of the money you cam as a teen, going to college and buying a house will be much easier.The earlier you begin saving,the more time the money has to grow.If you are in your thirties without any savings,you will always have to struggle.The earlier you begin saving,the easier it is to create a nest egg.[5]Later in life it can be hard to start saving because general costs of living are more expensive and you may only have enough to pay your bills.If you want to buy a house and have a family, you need money to start with,which comes from saving.[6]Many say money cannot_________,and this is true,but money can help you to lead a secure life.[7]Saving early will mean you will have to work for fewer years when you are older.It will also allow you to spend time doing the things that you want to do,[8]In addition to this,it will mean you can live the way you want to without worrying.76.List three advantages of saving money.(Please answer within 20 words)77.What’s the main idea of this passage?(Please answer within 10 words)78.Fill in the blank in paragraph 6 with proper words.(Please answer within 5 words)79.Which sentence in the text is the closest in meaning to the following one?As tong as you save early,you’ll do less work to live well at your old age.80.Translate the underlined sentence in Paragraph 5 into Chinese.第二节写作(满分30)下表是最近你就高中生“运用英语做事情”的情况在你们班级进行的一次调查.请你就此写一篇调查报告,准备参加学校举办的“英语让生活变得更美”有奖征文活动.要求:1.所写报告应包括表格所包含的全部内容,并请简要分析造成这种现象的原因并给同学们“就如何运用英语做事情”提出可行性的合理化建议.2.字数120-150.。
2009年山东省德城区2009届初中毕业测验数学试题

二○○九年初中毕业考试数学试卷一、选择题(本大题共8个小题,每小题3分,共24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,把每小题的正确选项选出,填在第二卷的答题表中。
)1、计算:)(32=⋅a a A 、5a B 、6a C 、8a D 、9a2、把不等式组1010x x +>⎧⎨-⎩,≤的解集表示在数轴上,正确的是( )3、图中几何体的主视图是( )4、某鞋店试销一种新款女鞋,销售情况如下表所示:鞋店经理最关心的是,哪种型号的鞋销量最大.对他来说,下列统计量中最重要的是()A .平均数B .众数C .中位数D .方差5、某种商品进价为800元,标价1200元,由于该商品积压,商店准备打折销售,但要保证利润率不低于20%,则至少可以打( )折。
A 、6折B 、7折C 、8折D 、9折1-1A 、1-1B 、1-1C 、1-1D 、正面A BCD6、如图,P是反比例函数y=6x在第一象限分支上的一个动点,PA⊥x轴,随着x的逐渐增大,△APO的面积将()A、增大B、减小C、不变D、无法确定7、如图,有一圆形展厅,在其圆形边缘上的点A处安装了一台监视器,它的监控角度是65.为了监控整个展厅,最少需在圆形边缘上共安装...这样的监视器()台.A、3;B、4;C、5;D、6.8、如图,将矩形ABCD沿对角线BD折叠,使C落在C′处,BC′交AD于点E,则下到结论不一定成立的是()A、AD=BC′B、∠EBD=∠EDBC、△ABE∽△CBDD、Sin∠ABE =AE ED第6题CD第8题第7题65二○○九年初中毕业考试数学试卷一、选择题(本大题共8个小题,每小题3分,共24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。
)二、填空题(本大题共8个小题,共24分)9、在半径为18的圆中,120°的圆心角所对的弧长是10、如果关于x 的一元二次方程22(21)10k x k x -++=有两个不相等的实数根,那么k 的取值范围是11、如图,2008年奥运火炬在去南省传递传递路线为“昆明—丽江—香格里位),某校学生小明在省地图上设定的临沧市位置点的坐标为(-1,0),火炬传递起点昆明市位置点的坐标为(1,1)。
2009届试验中学高三第二次诊断性测试理

2009届山东省实验中学高三第二次诊断性测试数学试卷(理科)本试卷分第I 卷(选择题)和第H 卷(非选择题)两部分,满分 150分,考试时间120分钟。
第I 卷(选择题60分)一、选择题(共12题,每题只有一个正确答案,每题5分,共60分)1 •若集合 M ={ y | y = 2」} , P 二{y | y = x -1},那么集合 M P =B - {y|yEC . { y | y 0}D . {y|y-°}3f (x 1) f(x)(x ・ R),则数列{ f( n)}的前 205 7A • f ⑴::f?:: f(-)7 5C . f (2厂:f (2厂:f (1)6.在等差数列{a n }中,a 12 <0 , a 13 >0,且>印2 ,若{ a n }的前n 项和S^0,则n 的最大值为A . 17B . 18C . 20D . 23(兀、7.已知简谐运动 f (x )=2sin — x +® |® <- |的图像经过点(0, 1),则该简谐运动A . 305B .315 C . 325D . 3353.如果 a 二 (2x-2, - 3)与 b=(x 1, x 4)互相垂直,则实数 x 等于171亠77亠A .B .C .或_D .或一2222 224.实数 a ,b 满足 a • b = 2 , 则3a 3b的最小值是A . 18B . 6C . 2 3D . 24 4项和为 5•已知函数y 二f (x )在(0, 2) 上是增函数,函数2•已知函数f (x )满足f (0) =1 , f (x 2)是偶函数,则 7 5f (7厂:f (1厂:f (才 5 7 £)£ f (1) <f(-)l3 丿i 2 /的最小正周期T和初相「分别为63g (x) • 0 ,则 x :: 0 时C .在AB 边中线所在的直线上D .以上都不对12.已知方程 x 2 (2 a)x 1 a • b = 0 的两个根为 X j , X 2,并且 0 ::: X j ::: 1 ::: x ,则—a的取值范围是112 2A . (-2, --)B . (-2, - -]C . (-2,D . (-2, -才2233第n 卷(共90分)12 12 313•数列 1,,—,-,一,-2 13 2 14 3 2 114.已知 tan([ 二)=3,则 sin2)- 2cos 2 --x 2y -3 乞 015.己知变量x , y 满足约束条件 X • 3y - 3 - 0。
山东省实验中学2009年初中毕业模拟试卷一及答案

图1日2009年初中毕业模拟试卷数 学班级 姓名 学号 得分一、选择题(本大题共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)1.2-的倒数是 【 】(A )12-(B )2 (C )2±(D )2-2.已知sin α<cos α,那么锐角α的取值范围是 (A )300 <α<450 (B ) 00 <α<450 (C ) 450 <α<600 (D ) 00 <α<9003.某住宅小区六月份中1日至6日每天用水量变化情况如折线图1所示,那么这6天的平均用水量是(A ) 30吨 (B ) 31 吨 (C ) 32吨 (D ) 33吨 4.一个几何体的三视图如图2所示,则这个几何体是 【 】5.函数y =x 的取值范围 【 】(A )5x > (B )5x < (C )5x ≥ (D )5x ≤6.下列命题正确的是 【 】 (A )对角线相等且互相平分的四边形是菱形 (B )对角线相等且互相垂直的四边形是菱形 (C )对角线相等且互相平分的四边形是矩形(D )对角线相等的四边形是等腰梯形 7.设1x 、2x 是关于x 的一元二次方程22x x n mx ++-=的两个实数根,且10x <,2130x x -<,则 【 】(A )1,2m n >⎧⎨>⎩ (B )1,2m n >⎧⎨<⎩(C )1,2m n <⎧⎨<⎩ (D )1,2m n <⎧⎨>⎩8.用图象法解某二元一次方程组时,在同一直角坐标系中作出相应的两个一次函数的图象如图3所示,则所解的二元一次方程组是(A )203210x yx y +-=⎧⎨--=⎩,(B )2103210x y x y --=⎧⎨--=⎩, (C )2103250x y x y --=⎧⎨+-=⎩,(D )20210x y x y +-=⎧⎨--=⎩,图3主视图左视图俯视图图2 (A ) (B ) (C ) (D )9.如图,已知O 为圆锥的顶点,M 为圆锥底面上一点,点P 在OM 上.一只蜗牛从P 点出发,绕圆锥侧面爬行,回到P 点时所爬过的最短路线的痕迹如右图所示.若沿OM 将圆锥侧面剪开并展开,所得侧面展开图是 【 】10.如图□ABCD 中,E 为AD 的中点.已知△DEF 的面积为S ,则△DCF 的面积为 【 】 (A )S(B )2S (C )3S (D )4S二、填空题(本大题共8个小题;每小题3分,共24分.把答案写在题中横线上) 11.如图6,共有12个大小相同的小正方形,其中阴影部分的5个小正方形是一个正方体的表面展开图的一部分.现从其余的小正方形中任取一个涂上阴影,能构成这个正方体的表面展开图的概率是 . 12.一次函数(26)5y m x =-+中,y 随x 增大而减小,则m 的取值范围是 .13.已知012=--x x ,那么代数式123+-x x 的值是_____.14.将点A (0)绕着原点顺时针方向旋转45°角得到点B ,则点B 的坐标是 . 15.苹果的进价是每千克3.8元,销售中估计有5%的苹果正常损耗.为避免亏本,商家把售价应该至少定为每千克 元. 16.将抛物线22(1)3y x =+-向右平移1个单位,再向上平移3个单位,则所得抛物线的表达式为 .17.如图7为二次函数y =ax 2+bx +c 的图象,在下列说法中:①ac <0; ②方程ax 2+bx +c =0的根是x 1= -1,x 2= 3 ③a +b +c >0 ④当x >1时,y 随x 的增大而增大. 正确的说法有_____________.(把正确的答案的序号都填在横线上) 18.已知三角形三个顶点坐标,求三角形面积通常有以下三种方法:方法1:直接法,计算三角形一边的长,并求出该边上的高.方法2:补形法,将三角形面积转化成若干个特殊的四边形和三角形的面积的和与差.方法3:分割法,选择一条恰当的直线,将三角形分割成两个便于计算面积的三角形.现给出三点坐标:A (-1,4),B (2,2),C (4,-1),请你选择一种方法计算△ABC 的面积,你的答案是S △ABC = . 三、解答题(本大题共7个小题,共66分,解答应写出文字说明、证明过程或演算步骤)(本小题9分)19.(1)计算;图7图6(A ) (B )(C ) (D ) OP M O M ' M P O M ' M P O M ' M PO M ' M P 图4 图5(2)分解因式2(2)(4)4x x x +++-; (3)解分式方程225103x x x x-=+-.(本小题8分)20.将背面完全相同,正面上分别写有数字1、2、3、4的四张卡片混合后,小明从中随机地抽取一张,把卡片上的数字做为被减数,将形状、大小完全相同,分别标有数字1、2、3的三个小球混合后,小华从中随机地抽取一个,把小球上的数字做为减数,然后计算出这两个数的差. (1)请你用画树状图或列表的方法,求这两数差为0的概率;(2)小明与小华做游戏,规则是:若这两数的差为非负数,则小明赢;否则,小华赢.你认为该游戏公平吗?请说明理由.如果不公平,请你修改游戏规则,使游戏公平.(本小题8分)21.在如图的方格纸中,每个小方格都是边长为1个单位的正方形,ABC △的三个顶点 都在格点上(每个小方格的顶点叫格点).(1)画出ABC △向平移4个单位后的111A B C △; (2)画出ABC △绕点O 顺时针旋转90后的222A B C △,并求点A 旋转到2A 所经过的路线长.图8(本小题9分)22.某省为解决农村饮用水问题,省财政部门共投资20亿元对各市的农村饮用水的“改水工程”予以一定比例的补助.2008年,A 市在省财政补助的基础上投入600万元用于“改水工程”,计划以后每年以相同的增长率投资,2010年该市计划投资“改水工程”1176万元. (1)求A 市投资“改水工程”的年平均增长率;(2)从2008年到2010年,A 市三年共投资“改水工程”多少万元?(本小题9分)23.某商品的进价为每件30元,现在的售价为每件40元,每星期可卖出150件.市场调查反映:如果每件的售价每涨1元(售价每件不能高于45元),那么每星期少卖10件.设每件涨价x 元(x 为非负整数),每星期的销量为y 件.(1)求y 与x 的函数关系式及自变量x 的取值范围;(2)如何定价才能使每星期的利润最大且每星期的销量较大?每星期的最大利润是多少?(本小题10分)24.如图9,AB ∥CD 、AD ∥CE ,F 、G 分别是AC 和FD 的中点,过G 的直线依次交AB 、AD 、CD 、CE 于点M 、N 、P 、Q ,求证:MN +PQ =2PN .BACM N P EFQDG图9(本小题13分)25.如图10所示,直角梯形OABC 的顶点A 、C 分别在y 轴正半轴与x 轴负半轴上.过点B 、C 作直线l .将直线l 平移,平移后的直线l 与x 轴交于点D ,与y 轴交于点E .(1)将直线l 向右平移,设平移距离CD 为t (t ≥0),直角梯形OABC 被直线l 扫过的面积(图中阴影部份)为s ,s 关于t 的函数图象如图11所示,OM 为线段,MN 为抛物线的一部分,NQ 为射线,N 点横坐标为4.①求梯形上底AB 的长及直角梯形OABC 的面积; ②当42<<t 时,求S 关于t 的函数解析式;(2)在第(1)题的条件下,当直线l 向左或向右平移时(包括l 与直线BC 重合),在直.线.AB ..上是否存在点P ,使PDE ∆为等腰直角三角形?若存在,请直接写出所有满足条件的点P 的坐标;若不存在,请说明理由.图10 图11中考总复习综合提高水平测试参考答案一、选择题1.A 2.B 3.C 4.C 5.C 6.C 7.D 8.D 9.D 10.B 二、填空题 11.4712.m <3 13.2 (由012=--x x 可得21x x -=或21x x -=,所以原式=2(1)1x x x --+212x x =-+=) 14.(4,-4) 15.4 16.22y x = 17.①②④ 18.2.5 三、解答题19.(1)原式=÷=2 (2)原式=(2)(4)(2)(2)x x x x ++++-=(2)(42)x x x +++- =(2)(22)x x ++ =2(2)(1)x x ++(3)去分母得5(1)(3)0x x --+=,整理得480x -=,解之得2x =,经检验,2x = 是原分式方程的解20.(1)P (两数差为0)=14 (2)因为P (两数差为负数)=14,所以小明赢的概率为14,而小华赢的概率为13144-=,14<34,所以游戏不公平,可改为:若这两数的差为负数,小明得3分,否则小华得1分,得分高者赢.(修改方法不唯一)21.(1)画图略;(2)点A 旋转到2A22.(1)设A 市投资“改水工程”年平均增长率是x ,则2600(1)1176x +=.解之,得0.4x = 或 2.4x =-(不合题意,舍去).所以,A 市投资“改水工程”年平均增长率为40%. (2)600+600×1.4+1176=2616(万元).A 市三年共投资“改水工程”2616万元. 23.(1)由题意,15010,05y x x =-≤≤且x 为整数; (2)设每星期的利润为w 元,则2(4030)(10)(15010)10( 2.5)1562.5w x y x x x =+-=+-=--+因为x 为非负整数,所以当x =2或3时,利润最大为1560元,又因为销量较大,所以x =2,即当售价为42元时,每周的利润最大且销量较大,最大利润为1560元. 24.延长BA 、EC ,设交点为O ,则四边形OADC 为平行四边形. ∵ F 是AC 的中点,∴ DF 的延长线必过O 点,且31=OG DG .∵ AB ∥CD ,∴DNANPN MN =.∵ AD ∥CE , ∴ DN CQ PN PQ =.∴ +PN MN =PN PQ DN AN DN CQ +=DN CQAN +. 又 =OQ DN 31=OG DG ,∴ OQ =3DN . ∴ CQ =OQ -OC =3DN -OC =3DN -AD ,AN =AD -DN , 于是,AN +CQ =2DN , ∴ +PN MN =PNPQ DN CQAN +=2,即 MN +PQ =2PN . 25.(1)①2AB =,842OA ==,4OC =,S 梯形OABC =12;②当42<<t 时,直角梯形OABC 被直线l 扫过的面积=直角梯形OABC 面积-直角三角开DOE 面积2112(4)2(4)842S t t t t =--⨯-=-+-;(2) 存在,123458(12,4),(4,4),(,4),(4,4),(8,4)3P P P P P --- (详细解答过程如下,对学生解答不作此要求) ① 以点D 为直角顶点,作1PP x ⊥轴Rt ODE ∆在中,2OE OD =∴,设2OD b OE b ==,.1Rt ODE Rt PPD ∆≈∆,(图示阴影)4b ∴=,28b =,在上面二图中分别可得到P 点的生标为P (-12,4)、P (-4,4)E 点在0点与A 点之间不可能;② 以点E 为直角顶点BACMNP E F QDG O同理在②二图中分别可得P点的生标为P(-83,4)、P(8,4)E点在0点下方不可能.③以点P为直角顶点同理在③二图中分别可得P点的生标为P(-4,4)(与①情形二重合舍去)、P(4,4),E点在A点下方不可能.综上可得P点的生标共5个解,分别为P(-12,4)、P(-4,4)、P(-83,4)、P(8,4)、P(4,4).。
最新山东省中考物理二模试卷附解析

山东省中考物理二模试卷学校:__________ 姓名:__________ 班级:__________ 考号:__________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一、单选题1.小梅帮妈妈做饭时,把一个质量为l00g的土豆放进盛满水的盆里,有90g水溢出,则 ..........................................................................................................................()A.土豆会浮在水面上B.土豆会沉入盆底C.土豆会悬浮在水中D.不能据此判断出土豆的浮沉2.青藏铁路建成后,乘高原列车去西藏旅游的人越来越多,与普通列车相比,高原列车内还配有供氧系统和医疗应急系统,这样做是因为高原上()A.大气压强小,空气中含氧量小B.大气压强大,空气中含氧量大C.大气压强小,空气中含氧量大D.大气压强大,空气中含氧量小3.一根直杆可绕轴转动,在直杆的中点挂一重物,在杆的另一端施加一个方向始终保持水平的力F,如图9所示,在力F使直杆从竖直位置慢慢抬起到接近水平位置的过程中,力F大小的变化情况是:()A.一直在增大; B.一直在减小; C.先增大后减小; D.先减小后增大.4.使用最小刻度是毫米的刻度尺,测得下列数据,正确的记录结果为:()A.0.184米; B.1.843分米; C.18.4厘米; D.184.82毫米.5.20 世纪初科学家先后提出了如图a)、(b)、(c)所示的三种原子模型,依照提出时间的顺序正确的排列为A.(a)、(b)、(c)B.(c)、(b)、(a)C.(b)、(c)、(a)D.(a)、(c)、(b)6.小明晚上在书房做功课,把台灯插头插入书桌边的插座,闭合台灯开关,发现家里的空气开关“跳闸”。
造成这一现象的原因可能是()A.台灯的灯丝断了B.台灯内部短路C.台灯的灯泡过大D.插座与台灯插头接触不良7.放映幻灯时,银幕上得到的是幻灯片上景物的( )A.正立放大的虚像B.倒立放大的实像C.正立放大的实像D.倒立放大的虚像8.现有甲、乙、丙、丁四根导线.甲:长为1m,横截面积为1mm2的镍铬合金线乙:长为1m,横截面积为0.5mm2的镍铬合金线丙:长为0.5m,横截面积为1mm2的镍铬合金线丁:长为1m,横截面积为0.5mm2的锰铜线.为了研究导体的电阻与导体长度的关系,应选用其中的两根导线是............................................................................................................................ ()A.甲和丙B.乙和丙C.丙和丁D.以上三种选择都可以9.下面说法较全面的是:()A.光是沿直线传播的B.光只有在真空中才是沿直线传播的C.光在所有的物质中都是沿直线传播的D.光在同一种均匀物质中是沿直线传播的.10.在月球的表面主要有岩石和尘埃。
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2009年初中毕业模拟试卷数 学本试卷分第Ⅰ卷(选择题)和第Ⅱ卷两部分.第Ⅰ卷1至2页,第Ⅱ卷3至8页.共150分.考试时间120分钟.考试结束,将本试卷和答题卡一并交回.第Ⅰ卷(选择题 共36分)注意事项:1.答第Ⅰ卷前,考生务必将自己的姓名、考试号、科目名称用2B 铅笔涂写在答题卡上. 2.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,再选涂其它答案.不能答在试卷上. 一、选择题(本题共12小题;每小题3分,共36分)下列各题都有代号为A 、B 、C 、D 的四个结论供选择,其中只有一个结论是正确的. 1.3-的绝对值是( ) A .3-B .3C .13-D .132.2008年5月27日,北京2008年奥运会火炬接力传递活动在南京境内举行,火炬传递路线全程约12 900m ,将12 900m 用科学记数法表示应为( ) A .50.12910⨯B .41.2910⨯C .312.910⨯D .212910⨯3.计算23()ab 的结果是( ) A .5abB .6abC .35a bD .36a b4.2的平方根是( ) A .4BC.D.5.小亮用作图象的方法解二元一次方程组时,在同一直角坐标系内作出了相应的两个一次函数的图象l 1、l 2,如图所示,他解的这个方程组是 A .22112y x y x =-+⎧⎪⎨=-⎪⎩ B . 22y x y x =-+⎧⎨=-⎩C .38132y x y x =-⎧⎪⎨=-⎪⎩ D . 22112y x y x =-+⎧⎪⎨=--⎪⎩ 6A .1个D .4个7.小刚身高1.7m ,测得他站立在阳光下的影子长为0.85m ,紧接着他把手臂竖直举起,测得影子长为1.1m ,那么小刚举起的手臂超出头顶( ) A .0.5mB .0.55mC .0.6mD .2.2m8.如图,O 是等边三角形ABC 的外接圆,O 的半径为2, 则等边三角形ABC 的边长为( )ABC.D.9.超市为了制定某个时间段收银台开放方案,统计了这个时间段本超市顾客在收银台排队付款的等待时间,并绘制成如下的频数分布直方图(图中等待时间6分钟到7分钟表示大于或等于6分钟而小于7分钟,其它类同).这个时间段内顾客等待时间不少于6分钟的人数为( ) A .5B .7C .16D .3310.如图,已知O 的半径为1,AB 与O 相切于点A ,OB 与O 交于点C ,OD OA ⊥,垂足为D ,则cos AOB ∠的值等于( )A .ODB .OAC .CD D .AB11.如图所示,把一个正方形三次对折后沿虚线剪下,则所得的图形是(第11题) (第12题)12.某学习小组在讨论“变化的鱼”时,知道右图中的大鱼与小鱼是位似图形,若小鱼上的点P (a ,b )对应大鱼上的点Q ,则点Q 的坐标为A .(-2a ,-2b )B .(-a ,-2b )C .(-2b ,-2a )D .(-2a ,-b )第Ⅱ卷(共114分)(第10题)(第9题) 等待时间/min(第8题)BA注意事项:二、填空题(本题共6小题;每小题4分,共24分)请把最后结果填在题中横线上.13.如图,在△ABC中,∠ABC=90°,∠A=65°,BD∥AC,则∠CBD的度数是°.14.某商店销售一批服装,每件售价150元,打8折后,仍可获利20%,设这种服装的成本价为x元,则x满足的方程是.15.如图,AB为⊙O的直径,C、D是⊙O上两点,若∠ABC=50°,则∠D的度数为_______.16.在四边形ABCD中,给出四个条件:①AB=CD,②AD∥BC,③AC⊥BD,④AC平分∠BAD,由其中三个条件吸推出四边形ABCD是菱形,你认为这三个条件是__________.(写四个条件的不给分,只填序号)17.请写出一个二次函数y=ax2+bx+c,使它同时具有如下性质:①图象关于直线x=1对称;②当x=2时,y﹤0;③当x=-2时,y﹥0.答:_________________________________.18.如右图,把矩形纸片OABC放入平面直角坐标系中,使OA、OC分别落在x轴、y轴上,连接OB,将纸片OABC沿OB折叠,使点若OB tan∠BOC=12,则点A′的坐标为_________.三、解答题(本题共2小题;共12分)19.(本小题6分)计算:1212)23(132-+--︒---+tan60︒20.(本小题6分)得分评卷人DCBA(第13题)化简:265(2)22x x x x -÷----四、解答题(本题共2小题;共15分)21.(本小题7分)今年十一五规划中提出建设社会主义新农村,推进农村城市化的进程,继续减轻农民负担。
小红同学对自己所在乡的农业税减免情况进行统计,得到如下三条信息: 信息一:小红所在的乡约有16000农民;信息二:该乡前年人均上缴农业税25元,今年人均上缴农业税为16元; 信息三:去年、今年和明年这三年降低的百分率都相同. 请你根据以上三条信息,求出该乡农民明年减少多少农业税?22.(本小题8分)如图,菱形ABCD (图1)与菱形EFGH (图2)的形状、大小完全相同.(1)请从下列序号中选择正确选项的序号填写;①点E F G H ,,,;②点G F E H ,,,;③点E H G F ,,,;④点G H E F ,,,.如果图1经过一次平移后得到图2,那么点A B C D ,,,对应点分别是 ; 如果图1经过一次轴对称后得到图2,那么点A B C D ,,,对应点分别是 ; 如果图1经过一次旋转后得到图2,那么点A B C D ,,,对应点分别是 ; (2)①图1,图2关于点O 成中心对称,请画出对称中心(保留画图痕迹,不写画法); ②写出两个图形成中心对称的一条..性质: .(可以结合所画图形叙述)图1A(第22题)B C图2EF五、解答题(本题共2小题;共20分)23.(本题满分10分)为了了解南通市中学生开展研究性学习的情况,抽查了某中学九年级甲、乙两班的部分学生,了解他们在一个月内参加研究性学习的情况,结果统计如下: (1)在这次抽查中甲班被抽查了 人,乙班被抽查了 人;(2)在被抽查的学生中,甲班学生参加研究性学习的平均次数为 次,乙班学生参加研究性学习的平均次数为 次;(3)根据以上信息,用你学过的统计知识,推测甲、乙两班在开展研究性学习方面哪个班级更好一些?(4)从图中你还能得到哪些信息?(写出一个即可)24.(本题满分10分)如图,两颗树的高度分别为AB =6m ,CD =8m ,两树的根部间的距离AC =4m ,小强沿着正对这两棵树的方向从左向右前进,如果小强的眼睛与地面的距离为 1.6m ,当小强与树AB 的距离小于多少时,就不能看到树CD 的树顶D ?乙甲321(第23题)AH DBG F E PQ盲区 (第24题)六、解答题(本题共2小题;共20分)25.(本题满分10分) 如图,已知△ABC 的面积为3,且AB =AC ,现将△ABC 沿CA 方向平移CA 长度得到△EFA .(1)求△ABC 所扫过的图形的面积;(2)试判断AF 与BE 的位置关系,并说明理由; (3)若∠BEC =15°,求AC 的长.((第25题)26.(本题满分10分)如图,⊙O 的直径AB =4,∠ABC =30°,BC =D 是线段BC 的中点. (1)试判断点D 与⊙O 的位置关系,并说明理由;(2)过点D 作DE ⊥AC ,垂足为点E ,求证:直线DE 是⊙O 的切线.(第26题)(C )E FCBA B七、解答题(本题共2小题;共23分)27.(本题满分10分)小张骑车往返于甲、乙两地,距甲地的路程y (千米)与时间x (时)的函数图象如图所示.(1)小张在路上停留_________小时,他从乙地返回时骑车的速度为________千米/时; (2)小李与小张同时从甲地出发,按相同路线匀速前往乙地,到乙地停止...途中小李与小张共相遇3次.请在图中..画出小李距甲地的路程y (千米)与时间x (时)的函数的大致图象; (3)小王与小张同时出发,按相同路线匀速前往乙地,距甲地的路程y (千米)与时间x (时)的函数关系式为y =12x +10.小王与小张在途中共相遇几次?请你计算第一次相遇的时间.(小时 )28. (本题满分13分)把两块全等的直角三角形ABC和DEF叠放在一起,使三角板DEF的锐角顶点D与三角板ABC的斜边中点O重合,其中∠ABC=∠DEF=90°,∠C=∠F=45°,AB=DE=4,把三角板ABC固定不动,让三角板DEF绕点O旋转,设射线DE与射线AB相交于点P,射线DF与线段BC相交于点Q.(1)如图1,当射线DF经过点B,即点Q与点B重合时,易证△APD∽△CDQ.此时,AP·CQ.(2)将三角板DEF由图1所示的位置绕点O沿逆时针方向旋转,设旋转角为α.其中0°﹤α﹤90°,问AP·CQ的值是否改变?说明你的理由.(3)在(2)的条件下,设CQ=x,两块三角板重叠面积为y,求y与x的函数关系式.(图2,图3供解题用)BEFE图1 图2 图32009年初中毕业数学模拟试卷参考答案一、选择题1 2 3 4 5 6 7 8 9 10 11 12 B B D D D C A C B A C A 二、填空题13.25° 14. 150×0.8-x =20%x 15. 40° 16.①③④或②③④ 17.略18. 2()5三、解答题 19.12 20. 23x -+ 四、解答题21. 解:设降低的百分率为x依题意有:16)1(252=+x 解得x 1=0.2=20%,x 2 =1.8(舍去).全乡明年少上缴农业税 16000×16×20%=51200(元) 答:白清乡农民明年减少农业税51200元 22. 解:(1)①;②;④; (2)①画图正确;②答案不惟一,例如:对应线段相等, OC OE =等. 五、解答题23. (1)10人,10人; (2)2.7次,2.2次;(3)甲班学生参加研究性学习的平均次数大于乙班学生参加研究性学习的平均次数,所以在开展研究性学习方面甲班更好一些; (4)略. 24. 小于8.8米六、解答题25. (1)9 ; (2)AF 与BE 互相垂直平分; (3)AC=26. (1)点D 在⊙O 上;(2)略七、解答题27. (1)1,30;(2)所画图象如图所示.(要求图象能正确反映 起点与终点)(3)154小时. 28. (1)8(2)AP CQ 的值不会改变.理由如下:在APD △与CDQ △中,45A C ∠=∠= 18045(45)9A P D a a ∠=--+=-(小时)E90CDQ a ∠=- 即APD CDQ ∠=∠APD CDQ ∴△∽△ ,AP CD AD CQ =∴22182AP CQ AD CD AD AC ⎛⎫==== ⎪⎝⎭∴(3)情形1:当045a <<时,24CQ <<,即24x <<,此时两三角板重叠部分为四边形DPBQ ,过D 作DG AP ⊥于G ,DN BC ⊥于N ,2D G D N ==∴由(2)知:8AP CQ =得8AP x=于是111222y AB AC CQ DN AP DG =--88(24)x x x=--<<情形2:当4590a <≤时,02CQ <≤时,即02x <≤,此时两三角板重叠部分为DMQ △,由于8AP x =,84PB x=-,易证:PBM DNM △∽△, B M P B M N D N =∴即22BM PB BM =-解得28424PB xBM PB x-==+- 84444xMQ BM CQ x x-=--=---∴于是1844(02)24xy MQ DN x x x-==--<-≤ 综上所述,当24x <<时,88y x x=--当02x <≤时,8444xy x x-=---2484y x x x =⎛⎫-+ ⎪-⎝⎭或法二:连结BD ,并过D 作DN BC ⊥于点N ,在D B Q △与MCD △中,45DBQ MCD ∠=∠=45DQB QCB QDC QDC MDQ QDC MDC ∠=∠+∠=+∠=∠+∠=∠DBQ MCD ∴△∽△ M CD B CDB Q =∴4x=- 84MC x =-∴ 284844x x MQ MC CD x x x-+=-=-=--∴BG2148(02)24x x y DN MQ x x-+==<-∴≤ 法三:过D 作DN BC ⊥于点N ,在Rt DNQ △中,222D Q D N NQ =+ 24(2)x =+-248x x =-+于是在BDQ △与DMQ △中45DBQ MDQ ∠=∠= DMQ DBM BDM ∠=∠+∠45BDM =+∠BDQ =∠ BDQ DMQ ∴△∽△ B Q D Q D Q M Q =∴ 即4x DQ DQ MQ-= 224844DQ x x MQ x x-+==--∴ 2148(02)24x x y DN MQ x x-+==<-∴≤。