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1、2012年汕头中考模拟数学试题2010年顺义区中考二模数学试题 1(本试卷共6页，共五道大题，25道小题，满分120分(考试时间120分钟( 2(在试卷和答题卡上认真填写学校、班级和姓名( 考 3(试题答案一律填涂或书写在答题卡上，在试卷上作答无效( 生 须 知 4(在答题卡上，选择题、作图题用2B铅笔作答，其他试题用黑色字迹签字笔作答( 5(考试结束，请将本试卷和答题卡一并交回( 一、选择题(共8个小题，每小题4分，共32分) 下列各题均有四个选项，其中只有一个是符合题意的( 1(5的倒数是 1,555A( B( C( D( 52(如果一个角等于54?，那么它的补角等于 A( B( C( D
2、( 146:36:126:54:3(据2010年上海世界博览会官方网站报道，在5月1日当天的入园人数为204 959人，将204 959用科学记数法表示并保留三个有效数字应为 55632.05010，2.0510，0.20510，20510，A( B( C( D( 4(如图所示的四个立体图形中，左视图是圆的个数是 圆柱 圆锥 圆台 球 A(4 B(3 C(2 D(1 5(为参加2010年“北京市初中毕业生升学体育考试”，小静同学进行了刻苦的练习，在测仰卧起坐时，记录下5次的成绩(单位:个)分别为:40，45，45，46，48(这组数据的众数、中位数依次是 A(45，45 B(45，45.5 C
3、(46，46 D(48，45.5 26(二次函数的顶点坐标是 yxx,24A(1,3), B(1,5), C(1,3), D(1,5), 7(甲、乙各抛一次质地均匀的正方体骰子，骰子的六个面上分别刻有1至6的点数，若甲、乙的点数相同时，算两人平手;若甲的点数大于乙时，算甲获胜;若乙的点数大于甲时，of the difference of the results. This value should be less than 0.5%. Defined for determination of whiteness of starches starch whiteness: under the s
4、tated conditions, surface of starch light reflectance standard Whiteboard surface and light reflectance ratio. Whiteness of whiteness meter measurements samples value to represent. 2, principle: Blu-ray through sample reflectivity reflectance contrast with the standard Whiteboard for Blu-ray, get sa
5、mples of whiteness. Measurement method applicable to dry into a powder of refined starches . Bai Duyi 3, instruments: wavelength can be transferred to 425nm box for sample and standard Whiteboard, accurate to 0.1. Press box: fit in the box. Step 4, analysis sample preparation: samples should be full
6、y mixed. Sample Board by: Bai Duyi samples box zhuangyang, according to Bai Duyi method sample Whiteboard prescribed. Bai Duyi preparation: method of operation required by Bai Duyi operation, will be marked with a white ceramic whiteboard or Whiteboard made of high purity magnesium oxide standard co
7、rrection. Measurement: determined by white Whiteboard Analyzer sample, write down the whiteness. Determination of number: the same sample for the second determination. 5, said of the results: the whiteness of whiteness of whiteness meter measurements samples value. Such as poor meets the requirement
8、s, take the arithmetic mean of the second determination as a result. 6, allowing differential analyst simultaneously or in quick succession for the second determination, the absolute value of the difference of the results. This value should be less than 0.2. Definition starch viscosity determination
9、 of starch viscosity: resistance to flow after samples of starch gelatinization. Used算乙获胜(则甲获胜的概率是 7511A( B( C( D( 121223y8(如图，有一圆形展厅，在其圆形边缘上的点处安装了一台监视器，它的监控角度是A3 ,(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65(2 (1，1) P1 ? A(5台 B(4台 C(3台 D(2台O ,1 2 3 第7题 ,1 x65二、填空题(本题共16分，每小题4分) A 25x, 09(若分式的值为，则x的值为 ( 32x，210(
10、已知一个扇形的半径为6cm，圆心角为150?，则这个扇形的面积为 ( cm211(若关于x的方程有实数根，则k的取值范围是 ( xxk，,30?ABC，,:ACB90，,:A6012(如图，在Rt中，(将A?ABC?ABC绕直角顶点C按顺时针方向旋转，得，AACAB斜边分别与BC、AB相交于点D、E，直角边与EFCDAC,2?ABC，则至少旋转 AB交于点F(若?ABC?ABC?ABC 度才能得到，此时与的重叠部分(即四边形CDEF)的面积为 ( CBD三、解答题(本题共30分，每小题5分) ,22010B13(计算:( 32cos3048(1),:，,5432,xx,，,14(解不等式组 并
11、求它的整数解( x，4,x.,3,32x，,215(解分式方程:( xx，21?ABC16(已知:如图，中，D、E为AC边的三等分点，EF?AB，交BD的延长线于F( F求证:点D是BF的中点( A DE BC22xx,2217(已知，求代数式的值( (1)(3)(3)(3)(1)xxxxx,，,，,of the difference of the results. This value should be less than 0.5%. Defined for determination of whiteness of starches starch whiteness: under the
12、 stated conditions, surface of starch light reflectance standard Whiteboard surface and light reflectance ratio. Whiteness of whiteness meter measurements samples value to represent. 2, principle: Blu-ray through sample reflectivity reflectance contrast with the standard Whiteboard for Blu-ray, get
13、samples of whiteness. Measurement method applicable to dry into a powder of refined starches . Bai Duyi 3, instruments: wavelength can be transferred to 425nm box for sample and standard Whiteboard, accurate to 0.1. Press box: fit in the box. Step 4, analysis sample preparation: samples should be fu
14、lly mixed. Sample Board by: Bai Duyi samples box zhuangyang, according to Bai Duyi method sample Whiteboard prescribed. Bai Duyi preparation: method of operation required by Bai Duyi operation, will be marked with a white ceramic whiteboard or Whiteboard made of high purity magnesium oxide standard
15、correction. Measurement: determined by white Whiteboard Analyzer sample, write down the whiteness. Determination of number: the same sample for the second determination. 5, said of the results: the whiteness of whiteness of whiteness meter measurements samples value. Such as poor meets the requireme
16、nts, take the arithmetic mean of the second determination as a result. 6, allowing differential analyst simultaneously or in quick succession for the second determination, the absolute value of the difference of the results. This value should be less than 0.2. Definition starch viscosity determinati
17、on of starch viscosity: resistance to flow after samples of starch gelatinization. Used初中数学辅导网 18(列方程或方程组解应用题: 某服装厂为学校艺术团制作100套演出服，售价每套40元(服装厂向25名家庭贫困学生免费提供(经核算，这25套演出服的成本正好是原定生产这批演出服的利润(问每套演出服的成本是多少元, 四、解答题(本题共20分，第19题5分，第20题6分，第21题5分，第22题4分) 19(如图，在等腰梯形ABCD中，AD?BC， DA，,:B45，AD=6，AB=，点E在BC32，,:E30的
18、延长线上，求BE的长( BEC 20(甲、乙两支篮球队在集训期内进行了五场比赛，将比赛成绩进行统计后，绘制成如图1、图2的统计图( 甲、乙两球队比赛成绩折线统计图 甲、乙两球队比赛成绩条形统计图 得分/分 得分/分 110 100 甲 110 90 98 95 80 91 90 87 86 83 80 80 70 甲队 60 50 乙队 40 30 20 10 0 一二三四五 场次/场 一二三四五 场次/场 图1 图2 /分 (1)在图2中画出折线表示乙队在集训期内这五场比赛成绩的变化情况; xx(2)已知甲队五场比赛成绩的平均分=90分，请你计算乙队五场比赛成绩的平均分; 甲乙(3)就这五场
19、比赛，分别计算两队成绩的极差; (4)如果从甲、乙两队中选派一支球队参加篮球锦标赛，根据上述统计情况，试从平均分、折线的走势、获胜场数和极差四个方面分别进行简要分析，你认为选派哪支球队参赛更能取得好成绩, D C，BAC21(如图，AB是?O的直径，BD交?O于点C，AE平分，Eof the difference of the results. This value should be less than 0.5%. Defined for determination of whiteness of starches starch whiteness: under the stated con
20、ditions, surface of starch light reflectance standard Whiteboard surface and light reflectance ratio. Whiteness of whiteness meter measurements samples value to represent. 2, principle: Blu-ray through sample reflectivity reflectance contrast with the standard Whiteboard for Blu-ray, get samples of
21、whiteness. Measurement method applicable to dry into a powder of refined starches . Bai Duyi 3, instruments: wavelength can be transferred to 425nm box for sample and standard Whiteboard, accurate to 0.1. Press box: fit in the box. Step 4, analysis sample preparation: samples should be fully mixed.
22、Sample Board by: Bai Duyi samples box zhuangyang, according to Bai Duyi method sample Whiteboard prescribed. Bai Duyi preparation: method of operation required by Bai Duyi operation, will be marked with a white ceramic whiteboard or Whiteboard made of high purity magnesium oxide standard correction.
23、 Measurement: determined by white Whiteboard Analyzer sample, write down the whiteness. Determination of number: the same sample for the second determination. 5, said of the results: the whiteness of whiteness of whiteness meter measurements samples value. Such as poor meets the requirements, take t
24、he arithmetic mean of the second determination as a result. 6, allowing differential analyst simultaneously or in quick succession for the second determination, the absolute value of the difference of the results. This value should be less than 0.2. Definition starch viscosity determination of starc
25、h viscosity: resistance to flow after samples of starch gelatinization. UsedABOF，,，DCAB，垂足为F，( EFAB,(1)求证:AD为?O的切线; 4AD,6(2)若，求CE的长( sinD,522(如图，在平面直角坐标系中，A点的坐标为xOy(1，2)，B点的坐标为(2，1)( ?OAB(1)求的面积; 1?OAByx,(2)若沿直线向下平移，使点2A落在x轴上，画出平移后的三角形，求平移的距离?OAB及平移过程中所扫过的面积( 五、解答题(本题共22分，第23题7分，第24题7分，第25题8分) 4y,23
26、(在平面直角坐标系中，A、B为反比例函数的图象上两点，A点的横xOy(0)x,x4y,坐标与B点的纵坐标均为1，将的图象(0)x,xA绕原点O顺时针旋转90?，A点的对应点为，B点B的对应点为( (1)求旋转后的图象解析式; AB(2)求、点的坐标; ABMAAB(3)连结(动点从点出发沿线段以每NB秒1个单位长度的速度向终点运动;动点BBA同时从点出发沿线段以每秒1个单位长A度的速度向终点运动，当其中一个点停止运动时另一个点也随之停止运动(设运动的时间为?MNB秒，试探究:是否存在使为等腰直角t三角形的值，若存在，求出的值;若不存在，tt说明理由( 24(我们给出如下定义:有一组相邻内角相等
27、的四边形叫做等邻角四边形(请解答下列问题: of the difference of the results. This value should be less than 0.5%. Defined for determination of whiteness of starches starch whiteness: under the stated conditions, surface of starch light reflectance standard Whiteboard surface and light reflectance ratio. Whiteness of whi
28、teness meter measurements samples value to represent. 2, principle: Blu-ray through sample reflectivity reflectance contrast with the standard Whiteboard for Blu-ray, get samples of whiteness. Measurement method applicable to dry into a powder of refined starches . Bai Duyi 3, instruments: wavelengt
29、h can be transferred to 425nm box for sample and standard Whiteboard, accurate to 0.1. Press box: fit in the box. Step 4, analysis sample preparation: samples should be fully mixed. Sample Board by: Bai Duyi samples box zhuangyang, according to Bai Duyi method sample Whiteboard prescribed. Bai Duyi
30、preparation: method of operation required by Bai Duyi operation, will be marked with a white ceramic whiteboard or Whiteboard made of high purity magnesium oxide standard correction. Measurement: determined by white Whiteboard Analyzer sample, write down the whiteness. Determination of number: the s
31、ame sample for the second determination. 5, said of the results: the whiteness of whiteness of whiteness meter measurements samples value. Such as poor meets the requirements, take the arithmetic mean of the second determination as a result. 6, allowing differential analyst simultaneously or in quic
32、k succession for the second determination, the absolute value of the difference of the results. This value should be less than 0.2. Definition starch viscosity determination of starch viscosity: resistance to flow after samples of starch gelatinization. Used初中数学辅导网 (1)写出一个你所学过的特殊四边形中是等邻角四边形的图形的名称; ?
33、ABC(2)如图1，在中，AB=AC，点D在BC上，且CD=CA，点E、F分别为BC、AD的中点，连接EF并延长交AB于点G(求证:四边形AGEC是等邻角四边形; ?ABC(3)如图2，若点D在的内部，(2)中的其他条件不变，EF与CD交于点H(图中是否存在等邻角四边形，若存在，指出是哪个四边形，不必证明;若不存在，请说明理由( AAGGFFDH4.坡度：如图2，坡面与水平面的夹角叫做坡角坡角的正切称为坡度 (或坡比)。用字母i表示，即BCBCEDE图2图1的图象可以由yax2的图象平移得到：（利用顶点坐标）225(在平面直角坐标系xOy中，抛物线经过A(2，0)、B(4，0)两点，直yxbx
34、c,，点在圆内 dr;1线交y轴于点C，且过点yx,，22( Dm(8,)4.坡度：如图2，坡面与水平面的夹角叫做坡角坡角的正切称为坡度 (或坡比)。用字母i表示，即(1)求抛物线的解析式; 6.方向角：指北或指南方向线与目标方向线所成的小于90的水平角，叫做方向角。如图4，OA、OB、OC、OD的方向角分别是；北偏东30，南偏东45(东南方向)、南偏西为60，北偏西60。CPDP，(2)在x轴上找一点P，使的值弧、半圆、优弧、劣弧：弧：圆上任意两点间的部分叫做圆弧，简称弧，用符号“”表示，以CD为端点的弧记为“”，读作“圆弧CD”或“弧CD”。半圆：直径的两个端点分圆成两条弧，每一条弧叫做半
35、圆。优弧：大于半圆的弧叫做优弧。劣弧：小于半圆的弧叫做劣弧。(为了区别优弧和劣弧，优弧用三个字母表示。)最小，求出点P的坐标; 2(3)将抛物线左右平移，记yxbxc,，第二章 二次函数A平移后点A的对应点为，点B的对说明：根据垂径定理与推论可知对于一个圆和一条直线来说，如果具备：ABDCB应点为，当四边形的周166.116.17期末总复习长最小时，求抛物线的解析式及此时ABDC四边形周长的最小值( =0 抛物线与x轴有1个交点；of the difference of the results. This value should be less than 0.5%. Defined for
36、determination of whiteness of starches starch whiteness: under the stated conditions, surface of starch light reflectance standard Whiteboard surface and light reflectance ratio. Whiteness of whiteness meter measurements samples value to represent. 2, principle: Blu-ray through sample reflectivity r
37、eflectance contrast with the standard Whiteboard for Blu-ray, get samples of whiteness. Measurement method applicable to dry into a powder of refined starches . Bai Duyi 3, instruments: wavelength can be transferred to 425nm box for sample and standard Whiteboard, accurate to 0.1. Press box: fit in
38、the box. Step 4, analysis sample preparation: samples should be fully mixed. Sample Board by: Bai Duyi samples box zhuangyang, according to Bai Duyi method sample Whiteboard prescribed. Bai Duyi preparation: method of operation required by Bai Duyi operation, will be marked with a white ceramic whit
39、eboard or Whiteboard made of high purity magnesium oxide standard correction. Measurement: determined by white Whiteboard Analyzer sample, write down the whiteness. Determination of number: the same sample for the second determination. 5, said of the results: the whiteness of whiteness of whiteness
40、meter measurements samples value. Such as poor meets the requirements, take the arithmetic mean of the second determination as a result. 6, allowing differential analyst simultaneously or in quick succession for the second determination, the absolute value of the difference of the results. This value should be less than 0.2. Definition starch viscosity determination of starch viscosity: resistance to flow after samples of starch gelatinization. Used