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2009年北京中考数学试卷分析

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2009年北京中考数学试卷分析2009年北京中考数学试卷分析 第一中考网 专注于中考 www.zhongkaowang.cn 2009年北京中考数学试卷分析 一、选择题(本题共32分,每小题4分)下面各题均有四个选项,其中只有一个是符合题意的。 1.7的相反数是( ) 11A. B. C. D. ,77,77 【解析】 D 【点评】 本题考点:相反数。 难度较小,属送分题。 2.改革开放以来,我国国内生产总值由1978年的3645亿元增长到2008年的300670亿元。将300670 用科学记数法表示应为 65440.3006...

2009年北京中考数学试卷分析
2009年北京中考数学试卷分析 第一中考网 专注于中考 www.zhongkaowang.cn 2009年北京中考数学试卷分析 一、选择题(本题共32分,每小题4分)下面各题均有四个选项,其中只有一个是符合题意的。 1.7的相反数是( ) 11A. B. C. D. ,77,77 【解析】 D 【点评】 本题考点:相反数。 难度较小,属送分题。 2.改革开放以来,我国国内生产总值由1978年的3645亿元增长到2008年的300670亿元。将300670 用科学记数法表示应为 65440.3006710,3.006710,3.006710,30.06710,A. B. C. D. 【解析】 B 【点评】 本题考点:科学记数法。 难度较小,属送分题。 3.若右图是某几何体的三视图,则这个几何体是 A.圆柱 B.正方体 C.球 D.圆锥 【解析】 A 【点评】 本题考点:三视图。 难度较小,属送分题。 4.若一个正多边形的一个外角是40?, 则这个正多边形的边数是 A.10 B.9 C.8 D.6 【解析】 B 【点评】 本题考点:多边形外角和。 难度较小,属送分题。 5.某班共有41名同学,其中有2名同学习惯用左手写字,其余同学都习惯用右手写字,老师随机请1 名同学解答问题,习惯用左手写字的同学被选中的概率是 120A. B. C. D. 14141 【解析】 C 【点评】 本题考点:概率。 难度系数:? 6.某班派9名同学参加拔河比赛,他们的体重分别是(单位:千克): accident and the responsibility of leadership, such as concerning administrative sanctions should be dealt with by the personne第一中考网官方网站:www.zhongkaowang.cn l Department of the company. (3) personal injury accident occurs, the direct punishment 500-1000, who is directly responsible f水木 知名中 小学 小学生如何制作手抄报课件柳垭小学关于三违自查自纠报告小学英语获奖优质说课课件小学足球课教案全集小学语文新课程标准测试题 课外辅导品牌~ 第or the accident responsibility, give notice of criticism and 50-100 economic sanctions against them. (4) to conceal the acciden 1 页 共 18 t, reported without undue delay or false, to inform the administrative leadership of the criticism, resulting in serious consequences, the pursuit of leadership, along with 500-1000 punishment. (5) significant near miss should be attempted as the case of responsible for the accident and construction team injuries accident penalty provisions, mutatis mutandis. Eight, should perform in the construction standards and specifications, serial number a 1 GB3323-2005 steel fusion welded butt joints, welding engineering-Ray lighting and quality rating of 2 GB11345-89 steel welds manual methods of ultrasonic inspection and testing results for grade 3 GB50236-2002 industrial pipe welding engineering code for construction and acceptance of field equipment 4 HGJ222-92 technical specification for welding of aluminium and its alloys 5 low temperature steel welding procedure 6 SH3525-2004 petrochemical JB/ T4708-2000 of welding procedure qualification for steel pressure vessels 7 JB/4709-2000 8 JB4730-2005 pressure vessel welding procedures of steel pressure vessel NDT 9 JB/T4744-2000 steel pressure vessel products mechanical properties test of welded plate II, mechanical equipment installation engineering 1 GB150-98 2 GB50128-2005 vertical cylindrical steel pressure vessel steel welded specification for construction and acceptance of oil tank 3 JB/ T4735-1997 steel welded atmospheric pressure vessel 4 GB50231-2009 mechanical equipment installation engineering construction and acceptance specification for 5 GB50275-98 compressor, fan 页 这组数据的众数和中位数分别是 67,59,61,59,63,57,70,59,65 A B C D 59,6359,6159,5957,61 【解析】 B 【点评】 本题考点:众数和中位数。 难度系数:? 3227.把分解因式,结果正确的是 xxyxy,,2 2222xxyxy,,xxy,xxy,A. B. C D xxxyy,,2,,,,,,,,,, 【解析】 D 【点评】 本题考点:因式分解。 难度系数:? 一共俩步:提公因式;完全平方式。 8.如图,C为?O直径AB上一动点,过点C的直线交?O于D、E两点,且?ACD=45?,DF?AB 于点F,EG?AB于点G,当点C在AB上运动时,设AF=,DE=,下列中图象中,能表示与的xxyy函数关系式的图象大致是 【解析】 A 【点评】 本题考点:动点问题,函数图像。 难度系数:??? 本题主要考虑三个特殊点即可,也即AF的最小值、最大值,中值。 accident and the responsibility of leadership, such as concerning administrative sanctions should be dealt with by the personne 三才教育奥数网 www.3cedu.com l Department of the company. (3) personal injury accident occurs, the direct punishment 500-1000, who is directly responsible f第 2 页 共 18 页 or the accident responsibility, give notice of criticism and 50-100 economic sanctions against them. (4) to conceal the acciden三才教育t, reported without undue delay or false, to inform the administrative leadership of the criticism, resulting in serious consequences, the pursuit of leadership, along with 500-1000 punishment. (5) significant near miss should be attempted as the case of responsible for the accident and construction team injuries accident penalty provisions, mutatis mutandis. Eight, should perform in the construction standards and specifications, serial number a 1 GB3323-2005 steel fusion welded butt joints, welding engineering-Ray lighting and quality rating of 2 GB11345-89 steel welds manual methods of ultrasonic inspection and testing results for grade 3 GB50236-2002 industrial pipe welding engineering code for construction and acceptance of field equipment 4 HGJ222-92 technical specification for welding of aluminium and its alloys 5 low temperature steel welding procedure 6 SH3525-2004 petrochemical JB/ T4708-2000 of welding procedure qualification for steel pressure vessels 7 JB/4709-2000 8 JB4730-2005 pressure vessel welding procedures of steel pressure vessel NDT 9 JB/T4744-2000 steel pressure vessel products mechanical properties test of welded plate II, mechanical equipment installation engineering 1 GB150-98 2 GB50128-2005 vertical cylindrical steel pressure vessel steel welded specification for construction and acceptance of oil tank 3 JB/ T4735-1997 steel welded atmospheric pressure vessel 4 GB50231-2009 mechanical equipment installation engineering construction and acceptance specification for 5 GB50275-98 compressor, fan “行动学习”奥数精品辅导班专用辅导 资料 新概念英语资料下载李居明饿命改运学pdf成本会计期末资料社会工作导论资料工程结算所需资料清单 62531239 62538376 用极限法,将线段DE向左平移,因为?ACD=?BCE=45 ?(45?圆周角所对圆心角是90?),当点D与点A重合时,点G与点O重合,即AF=0时,DE的长度最小等于 AE`, 1当点C和点O重合时,DE的长度最大,等于直径. 显然,此时AFAC ,2 当点E和点B重合时,DE的长度最小等于D`E =AE` 所以选A 二、填空题(本题共16分,每小题4分) 9.不等式325x,,的解集是 . 【解析】 x1 , 【点评】 本题考点:不等式解集。 难度较小。 , 2810.如图,AB为?O的直径,弦CD?AB,E为上一点,若?CEA=,则?ABD= ?. BC 【解析】 28 【点评】 本题考点:同弧所对圆周角。 难度较小。 22xmk,,xx,,23mk,mk,11.若把代数式化为的形式,其中为常数,则= . ,, 【解析】 -3 【点评】 本题考点:配方法。 难度系数:? 12.如图,正方形纸片ABCD的边长为1,M、N分别是AD、BC边上的点,将纸片的一角沿过点B的直线折叠,使A落在MN上,落点记为A′,折痕交AD于点E,若M、N分别是AD、BC边的中点, n,2则A′N= ; 若M、N分别是AD、BC边的上距DC最近的n等分点(,且n为整数),则A′N= (用含有n的式子表示) accident and the responsibility of leadership, such as concerning administrative sanctions should be dealt with by the personnel Department of the company. (3) personal injury accident occurs, the direct punishment 500-1000, who is directly responsible for the accident responsibility, give notice of criticism and 50-100 economic sanctions against them. (4) to conceal the accident, reported without undue delay or false, to inform the administrative leadership of the criticism, resulting in serious consequences, the pursuit of leadership, along with 500-1000 punishment. (5) significant near miss should be attempted as the case of responsible for the accident and construction team injuries accident penalty provisions, mutatis mutandis. Eight, should perform in the construction standards and specifications, serial number a 1 GB3323-2005 steel fusion welded butt joints, welding engineering-Ray lighting and quality rating of 2 GB11345-89 steel welds manual methods of ultrasonic inspection and testing results for grade 3 GB50236-2002 industrial pipe welding engineering code for construction and acceptance of field equipment 4 HGJ222-92 technical specification for welding of aluminium and its alloys 5 low temperature steel welding procedure 6 SH3525-2004 petrochemical JB/ T4708-2000 of welding procedure qualification for steel pressure vessels 7 JB/4709-2000 8 JB4730-2005 pressure vessel welding procedures of steel pressure vessel NDT 9 JB/T4744-2000 steel pressure vessel products mechanical properties test of welded plate II, mechanical equipment installation engineering 1 GB150-98 2 GB50128-2005 vertical cylindrical steel pressure vessel steel welded specification for construction and acceptance of oil tank 3 JB/ T4735-1997 steel welded atmospheric pressure vessel 4 GB50231-2009 mechanical equipment installation engineering construction and acceptance specification for 5 GB50275-98 compressor, fan 2n,13【解析】 ; 2n 【点评】 本题考点:折叠,勾股定理。 难度系数:?? 本题略有难度,第二问审题时注意“若M、N分别是AD、BC边的上距DC最近的n等分点”题意,一般没有问题。 三、解答题(本题共30分,每小题5分) ,11,,013.计算: ,,,,20092520,,6,, 【解析】 原式=5 【点评】 本题考点:运算能力。 难度系数:? x614.解分式方程: ,,1xx,,22 【解析】 X=1 【点评】 本题考点:分式方程求解。 难度系数:? 本题一定不要忘记验根。 ,90CDAB,15.已知:如图,在?ABC中,?ACB=,于点D,点E 在AC上,CE=BC,过E点作AC的垂线,交CD的延长线于点F .求证:AB=FC accident and the responsibility of leadership, such as concerning administrative sanctions should be dealt with by the personne 三才教育奥数网 www.3cedu.com l Department of the company. (3) personal injury accident occurs, the direct punishment 500-1000, who is directly responsible f第 4 页 共 18 页 or the accident responsibility, give notice of criticism and 50-100 economic sanctions against them. (4) to conceal the acciden三才教育t, reported without undue delay or false, to inform the administrative leadership of the criticism, resulting in serious consequences, the pursuit of leadership, along with 500-1000 punishment. (5) significant near miss should be attempted as the case of responsible for the accident and construction team injuries accident penalty provisions, mutatis mutandis. Eight, should perform in the construction standards and specifications, serial number a 1 GB3323-2005 steel fusion welded butt joints, welding engineering-Ray lighting and quality rating of 2 GB11345-89 steel welds manual methods of ultrasonic inspection and testing results for grade 3 GB50236-2002 industrial pipe welding engineering code for construction and acceptance of field equipment 4 HGJ222-92 technical specification for welding of aluminium and its alloys 5 low temperature steel welding procedure 6 SH3525-2004 petrochemical JB/ T4708-2000 of welding procedure qualification for steel pressure vessels 7 JB/4709-2000 8 JB4730-2005 pressure vessel welding procedures of steel pressure vessel NDT 9 JB/T4744-2000 steel pressure vessel products mechanical properties test of welded plate II, mechanical equipment installation engineering 1 GB150-98 2 GB50128-2005 vertical cylindrical steel pressure vessel steel welded specification for construction and acceptance of oil tank 3 JB/ T4735-1997 steel welded atmospheric pressure vessel 4 GB50231-2009 mechanical equipment installation engineering construction and acceptance specification for 5 GB50275-98 compressor, fan “行动学习”奥数精品辅导班专用辅导资料 62531239 62538376 【点评】 本题考点:三角形全等。 难度系数:?? 本题主要考察直角三角形全等判定,等角的余角相等。难度不大。 22xxx,,,,,12111xx,,51416.已知,求的值 ,,,,,, 【点评】 本题考点:代数运算。 难度系数:?? m17.如图,A、B两点在函数的图象上. yx,,0,,x (1)求的值及直线AB的解析式;(2)如果一个点的横、纵坐标均为整数,那么我们称这个点是m 格点.请直接写出图中阴影部分(不包括边界)所含格点的个数。 accident and the responsibility of leadership, such as concerning administrative sanctions should be dealt with by the personnel Department of the company. (3) personal injury accident occurs, the direct punishment 500-1000, who is directly responsible for the accident responsibility, give notice of criticism and 50-100 economic sanctions against them. (4) to conceal the accident, reported without undue delay or false, to inform the administrative leadership of the criticism, resulting in serious consequences, the pursuit of leadership, along with 500-1000 punishment. (5) significant near miss should be attempted as the case of responsible for the accident and construction team injuries accident penalty provisions, mutatis mutandis. Eight, should perform in the construction standards and specifications, serial number a 1 GB3323-2005 steel fusion welded butt joints, welding engineering-Ray lighting and quality rating of 2 GB11345-89 steel welds manual methods of ultrasonic inspection and testing results for grade 3 GB50236-2002 industrial pipe welding engineering code for construction and acceptance of field equipment 4 HGJ222-92 technical specification for welding of aluminium and its alloys 5 low temperature steel welding procedure 6 SH3525-2004 petrochemical JB/ T4708-2000 of welding procedure qualification for steel pressure vessels 7 JB/4709-2000 8 JB4730-2005 pressure vessel welding procedures of steel pressure vessel NDT 9 JB/T4744-2000 steel pressure vessel products mechanical properties test of welded plate II, mechanical equipment installation engineering 1 GB150-98 2 GB50128-2005 vertical cylindrical steel pressure vessel steel welded specification for construction and acceptance of oil tank 3 JB/ T4735-1997 steel welded atmospheric pressure vessel 4 GB50231-2009 mechanical equipment installation engineering construction and acceptance specification for 5 GB50275-98 compressor, fan 【点评】 本题考点:一次函数,反比例函数解析式求解。 难度系数:??? 本题第一问较容易;第二问略复杂,要考虑到函数图象的范围,好在是直接写出符合规定的坐标即可。 18.列方程或方程组解应用题: 北京市实施交通管理新 措施 《全国民用建筑工程设计技术措施》规划•建筑•景观全国民用建筑工程设计技术措施》规划•建筑•景观软件质量保证措施下载工地伤害及预防措施下载关于贯彻落实的具体措施 以来,全市公共交通客运量显著增加.据统计,2008年10月11日到2009年2月28日期间,地面公交日均客运量与轨道交通日均客运量总和为1696万人次,地面公交日均客运量比轨道交通日均客运量的4倍少69万人次.在此期间,地面公交和轨道交通日均客运量各为多少万人次, 【点评】 本题考点:列方程解应用题。 难度系数:? 四、解答题(本题共20分,第19题5分,第20题5分,第21题6分,第22题4分) ,,904519.如图,在梯形ABCD中,AD?BC,?B=,?C=, accident and the responsibility of leadership, such as concerning administrative sanctions should be dealt with by the personne 三才教育奥数网 www.3cedu.com l Department of the company. (3) personal injury accident occurs, the direct punishment 500-1000, who is directly responsible f第 6 页 共 18 页 or the accident responsibility, give notice of criticism and 50-100 economic sanctions against them. (4) to conceal the acciden三才教育t, reported without undue delay or false, to inform the administrative leadership of the criticism, resulting in serious consequences, the pursuit of leadership, along with 500-1000 punishment. (5) significant near miss should be attempted as the case of responsible for the accident and construction team injuries accident penalty provisions, mutatis mutandis. Eight, should perform in the construction standards and specifications, serial number a 1 GB3323-2005 steel fusion welded butt joints, welding engineering-Ray lighting and quality rating of 2 GB11345-89 steel welds manual methods of ultrasonic inspection and testing results for grade 3 GB50236-2002 industrial pipe welding engineering code for construction and acceptance of field equipment 4 HGJ222-92 technical specification for welding of aluminium and its alloys 5 low temperature steel welding procedure 6 SH3525-2004 petrochemical JB/ T4708-2000 of welding procedure qualification for steel pressure vessels 7 JB/4709-2000 8 JB4730-2005 pressure vessel welding procedures of steel pressure vessel NDT 9 JB/T4744-2000 steel pressure vessel products mechanical properties test of welded plate II, mechanical equipment installation engineering 1 GB150-98 2 GB50128-2005 vertical cylindrical steel pressure vessel steel welded specification for construction and acceptance of oil tank 3 JB/ T4735-1997 steel welded atmospheric pressure vessel 4 GB50231-2009 mechanical equipment installation engineering construction and acceptance specification for 5 GB50275-98 compressor, fan “行动学习”奥数精品辅导班专用辅导资料 62531239 62538376 AD=1,BC=4,E为AB中点,EF?DC交BC于点F,求EF的长. accident and the responsibility of leadership, such as concerning administrative sanctions should be dealt with by the personnel Department of the company. (3) personal injury accident occurs, the direct punishment 500-1000, who is directly responsible for the accident responsibility, give notice of criticism and 50-100 economic sanctions against them. (4) to conceal the accident, reported without undue delay or false, to inform the administrative leadership of the criticism, resulting in serious consequences, the pursuit of leadership, along with 500-1000 punishment. (5) significant near miss should be attempted as the case of responsible for the accident and construction team injuries accident penalty provisions, mutatis mutandis. Eight, should perform in the construction standards and specifications, serial number a 1 GB3323-2005 steel fusion welded butt joints, welding engineering-Ray lighting and quality rating of 2 GB11345-89 steel welds manual methods of ultrasonic inspection and testing results for grade 3 GB50236-2002 industrial pipe welding engineering code for construction and acceptance of field equipment 4 HGJ222-92 technical specification for welding of aluminium and its alloys 5 low temperature steel welding procedure 6 SH3525-2004 petrochemical JB/ T4708-2000 of welding procedure qualification for steel pressure vessels 7 JB/4709-2000 8 JB4730-2005 pressure vessel welding procedures of steel pressure vessel NDT 9 JB/T4744-2000 steel pressure vessel products mechanical properties test of welded plate II, mechanical equipment installation engineering 1 GB150-98 2 GB50128-2005 vertical cylindrical steel pressure vessel steel welded specification for construction and acceptance of oil tank 3 JB/ T4735-1997 steel welded atmospheric pressure vessel 4 GB50231-2009 mechanical equipment installation engineering construction and acceptance specification for 5 GB50275-98 compressor, fan 【点评】 本题考点:梯形性质,中点应用。 难度系数:?? 本题做法较多,除了上面两种外,还可以过点A作DC的平行线AG,也可求解。考察基础知识的灵活应用,略有难度。 20.已知:如图,在?ABC中,AB=AC,AE是角平分线,BM平分?ABC交AE于点M,经过B,M两点的?O交BC于点G,交AB于点F,FB恰为?O的直径. (1)求证:AE与?O相切; 1(2)当BC=4,cosC=时,求?O的半径. 3 accident and the responsibility of leadership, such as concerning administrative sanctions should be dealt with by the personne 三才教育奥数网 www.3cedu.com l Department of the company. (3) personal injury accident occurs, the direct punishment 500-1000, who is directly responsible f第 8 页 共 18 页 or the accident responsibility, give notice of criticism and 50-100 economic sanctions against them. (4) to conceal the acciden三才教育t, reported without undue delay or false, to inform the administrative leadership of the criticism, resulting in serious consequences, the pursuit of leadership, along with 500-1000 punishment. (5) significant near miss should be attempted as the case of responsible for the accident and construction team injuries accident penalty provisions, mutatis mutandis. Eight, should perform in the construction standards and specifications, serial number a 1 GB3323-2005 steel fusion welded butt joints, welding engineering-Ray lighting and quality rating of 2 GB11345-89 steel welds manual methods of ultrasonic inspection and testing results for grade 3 GB50236-2002 industrial pipe welding engineering code for construction and acceptance of field equipment 4 HGJ222-92 technical specification for welding of aluminium and its alloys 5 low temperature steel welding procedure 6 SH3525-2004 petrochemical JB/ T4708-2000 of welding procedure qualification for steel pressure vessels 7 JB/4709-2000 8 JB4730-2005 pressure vessel welding procedures of steel pressure vessel NDT 9 JB/T4744-2000 steel pressure vessel products mechanical properties test of welded plate II, mechanical equipment installation engineering 1 GB150-98 2 GB50128-2005 vertical cylindrical steel pressure vessel steel welded specification for construction and acceptance of oil tank 3 JB/ T4735-1997 steel welded atmospheric pressure vessel 4 GB50231-2009 mechanical equipment installation engineering construction and acceptance specification for 5 GB50275-98 compressor, fan “行动学习”奥数精品辅导班专用辅导资料 62531239 62538376 【点评】 本题考点:圆的切线证明;相似三角形性质。 难度系数:??? 本题第一问难度适中,重点在于切线的证明,关键抓住两点:直线过圆上一点且垂直于过这点的半径。 第二问难度偏上,分为两大部分求解,首先利用三角函数求出AB、EB长度,其次利用三角形相似性质,建立含有所求半径未知数的等比关系,解出数值。 本题命题精巧,要求基础知识的综合运用能力较高,尤其是第二问半径长度计算。 21.在每年年初召开的市人代会上,北京市财政局都要 报告 软件系统测试报告下载sgs报告如何下载关于路面塌陷情况报告535n,sgs报告怎么下载竣工报告下载 上一年度市财政预算执行情况和当年预算情况。以下是根据2004—2008年度报告中的有关数据制作的市财政教育预算与实际投入统计图表的一部分. 请根据以上信息解答下列问题: 表1 2004—2008年北京市财政教育实际投入与预算的差值统计表(单位:亿元) 年份 2004 2005 2006 2007 2008 accident and the responsibility of leadership, such as concerning administrative sanctions should be dealt with by the personnel Department of the company. (3) personal injury accident occurs, the direct punishment 500-1000, who is directly responsible for the accident responsibility, give notice of criticism and 50-100 economic sanctions against them. (4) to conceal the accident, reported without undue delay or false, to inform the administrative leadership of the criticism, resulting in serious consequences, the pursuit of leadership, along with 500-1000 punishment. (5) significant near miss should be attempted as the case of responsible for the accident and construction team injuries accident penalty provisions, mutatis mutandis. Eight, should perform in the construction standards and specifications, serial number a 1 GB3323-2005 steel fusion welded butt joints, welding engineering-Ray lighting and quality rating of 2 GB11345-89 steel welds manual methods of ultrasonic inspection and testing results for grade 3 GB50236-2002 industrial pipe welding engineering code for construction and acceptance of field equipment 4 HGJ222-92 technical specification for welding of aluminium and its alloys 5 low temperature steel welding procedure 6 SH3525-2004 petrochemical JB/ T4708-2000 of welding procedure qualification for steel pressure vessels 7 JB/4709-2000 8 JB4730-2005 pressure vessel welding procedures of steel pressure vessel NDT 9 JB/T4744-2000 steel pressure vessel products mechanical properties test of welded plate II, mechanical equipment installation engineering 1 GB150-98 2 GB50128-2005 vertical cylindrical steel pressure vessel steel welded specification for construction and acceptance of oil tank 3 JB/ T4735-1997 steel welded atmospheric pressure vessel 4 GB50231-2009 mechanical equipment installation engineering construction and acceptance specification for 5 GB50275-98 compressor, fan 教育实际投入与预算的差值 6.7 5.7 14.6 7.3 (1)请在表1的空格内填入2004年市财政教育实际投入与预算的差值; (2)求2004—2008年北京市财政教育实际投入与预算差值的平均数; (3)已知2009年北京市财政教育预算是141.7亿元.在此基础上,如果2009年北京市财政教育实际投入按照(2)中求出的平均数增长,估计它的金额可能达到多少亿元, 【点评】 本题考点:数据统计。 难度系数:? 本题难度不大,主要考察学生计算能力与细心。 22.阅读下列材料: 小明遇到一个问题:5个同样大小的正方形纸片排列形式如图1所示,将它们分割后拼接成一个新的正方形.他的做法是:按图2所示的方法分割后,将三角形纸片?绕AB的中点O旋转至三角形纸片?处,依此方法继续操作,即可拼接成一个新的正方形DEFG.请你参考小明的做法解决下列问题: (1)现有5个形状、大小相同的矩形纸片,排列形式如图3所示.请将其分割后拼接成一个平行四边形.要求:在图3中画出并 指明拼接成的平行四边形(画出一个符合条件的平行四边形即可); (2)如图4,在面积为2的平行四边形ABCD中,点E、F、G、H分别是边AB、BC、CD、DA的中点,分别连结AF、BG、CH、DE得到一个新的平行四边形MNPQ请在图4中探究平行四边形MNPQ面积的大小(画图并直接写出结果). accident and the responsibility of leadership, such as concerning administrative sanctions should be dealt with by the personne 三才教育奥数网 www.3cedu.com l Department of the company. (3) personal injury accident occurs, the direct punishment 500-1000, who is directly responsible f第 10 页 共 18 页 or the accident responsibility, give notice of criticism and 50-100 economic sanctions against them. (4) to conceal the acciden三才教育t, reported without undue delay or false, to inform the administrative leadership of the criticism, resulting in serious consequences, the pursuit of leadership, along with 500-1000 punishment. (5) significant near miss should be attempted as the case of responsible for the accident and construction team injuries accident penalty provisions, mutatis mutandis. Eight, should perform in the construction standards and specifications, serial number a 1 GB3323-2005 steel fusion welded butt joints, welding engineering-Ray lighting and quality rating of 2 GB11345-89 steel welds manual methods of ultrasonic inspection and testing results for grade 3 GB50236-2002 industrial pipe welding engineering code for construction and acceptance of field equipment 4 HGJ222-92 technical specification for welding of aluminium and its alloys 5 low temperature steel welding procedure 6 SH3525-2004 petrochemical JB/ T4708-2000 of welding procedure qualification for steel pressure vessels 7 JB/4709-2000 8 JB4730-2005 pressure vessel welding procedures of steel pressure vessel NDT 9 JB/T4744-2000 steel pressure vessel products mechanical properties test of welded plate II, mechanical equipment installation engineering 1 GB150-98 2 GB50128-2005 vertical cylindrical steel pressure vessel steel welded specification for construction and acceptance of oil tank 3 JB/ T4735-1997 steel welded atmospheric pressure vessel 4 GB50231-2009 mechanical equipment installation engineering construction and acceptance specification for 5 GB50275-98 compressor, fan “行动学习”奥数精品辅导班专用辅导资料 62531239 62538376 【点评】 本题考点:创新能力。 难度系数:??? 本题第一问难度不大,绝大多数同学都能做出。 第二问难度较高,是第一问的逆向思维,要求有较高的灵活性。主要靠平时知识的积累,逻辑思维的锻炼。 五、解答题(本题共22分,第23题7分,第24题8分,第25题7分) 22410xxk,,,,k23.已知关于x的一元二次方程有实数根,为正整数. k(1)求的值; 2x(2)当此方程有两个非零的整数根时,将关于的二次函数的图象向下平移8个yxxk,,,,241 单位,求平移后的图象的解析式; xx(3)在(2)的条件下,将平移后的二次函数的图象在轴下方的部分沿轴翻折,图象的其余部分保持不变,得到一个新的图象.请你结合这个新的图象回答:当直线 1b与此图象有两个公共点时,的取值范围. yxbbk,,,,,2 accident and the responsibility of leadership, such as concerning administrative sanctions should be dealt with by the personnel Department of the company. (3) personal injury accident occurs, the direct punishment 500-1000, who is directly responsible for the accident responsibility, give notice of criticism and 50-100 economic sanctions against them. (4) to conceal the accident, reported without undue delay or false, to inform the administrative leadership of the criticism, resulting in serious consequences, the pursuit of leadership, along with 500-1000 punishment. (5) significant near miss should be attempted as the case of responsible for the accident and construction team injuries accident penalty provisions, mutatis mutandis. Eight, should perform in the construction standards and specifications, serial number a 1 GB3323-2005 steel fusion welded butt joints, welding engineering-Ray lighting and quality rating of 2 GB11345-89 steel welds manual methods of ultrasonic inspection and testing results for grade 3 GB50236-2002 industrial pipe welding engineering code for construction and acceptance of field equipment 4 HGJ222-92 technical specification for welding of aluminium and its alloys 5 low temperature steel welding procedure 6 SH3525-2004 petrochemical JB/ T4708-2000 of welding procedure qualification for steel pressure vessels 7 JB/4709-2000 8 JB4730-2005 pressure vessel welding procedures of steel pressure vessel NDT 9 JB/T4744-2000 steel pressure vessel products mechanical properties test of welded plate II, mechanical equipment installation engineering 1 GB150-98 2 GB50128-2005 vertical cylindrical steel pressure vessel steel welded specification for construction and acceptance of oil tank 3 JB/ T4735-1997 steel welded atmospheric pressure vessel 4 GB50231-2009 mechanical equipment installation engineering construction and acceptance specification for 5 GB50275-98 compressor, fan 【点评】 本题考点:一元二次方程根的判别式;二次函数图像平移;函数交点问题。 难度系数:???? 本题第一问,考察一元二次方程根的判别式,难度不大,属于基础知识。 第二问,解析式的确定需要分类讨论,细心则可。图像平移虽是最近几年首次出现,难度不大,一般同学都可做出。 第三问难度较大,用到数形结合,首先画出图像,在图像上确定直线与抛物线翻折后有两个交点的范围,然后再确定直线解析式。 本题虽有难度,但有法可依,有规可循,平时训练有素,做起题来应该会得心应手,有条不紊的。 accident and the responsibility of leadership, such as concerning administrative sanctions should be dealt with by the personne 三才教育奥数网 www.3cedu.com l Department of the company. (3) personal injury accident occurs, the direct punishment 500-1000, who is directly responsible f第 12 页 共 18 页 or the accident responsibility, give notice of criticism and 50-100 economic sanctions against them. (4) to conceal the acciden三才教育t, reported without undue delay or false, to inform the administrative leadership of the criticism, resulting in serious consequences, the pursuit of leadership, along with 500-1000 punishment. (5) significant near miss should be attempted as the case of responsible for the accident and construction team injuries accident penalty provisions, mutatis mutandis. Eight, should perform in the construction standards and specifications, serial number a 1 GB3323-2005 steel fusion welded butt joints, welding engineering-Ray lighting and quality rating of 2 GB11345-89 steel welds manual methods of ultrasonic inspection and testing results for grade 3 GB50236-2002 industrial pipe welding engineering code for construction and acceptance of field equipment 4 HGJ222-92 technical specification for welding of aluminium and its alloys 5 low temperature steel welding procedure 6 SH3525-2004 petrochemical JB/ T4708-2000 of welding procedure qualification for steel pressure vessels 7 JB/4709-2000 8 JB4730-2005 pressure vessel welding procedures of steel pressure vessel NDT 9 JB/T4744-2000 steel pressure vessel products mechanical properties test of welded plate II, mechanical equipment installation engineering 1 GB150-98 2 GB50128-2005 vertical cylindrical steel pressure vessel steel welded specification for construction and acceptance of oil tank 3 JB/ T4735-1997 steel welded atmospheric pressure vessel 4 GB50231-2009 mechanical equipment installation engineering construction and acceptance specification for 5 GB50275-98 compressor, fan “行动学习”奥数精品辅导班专用辅导资料 62531239 62538376 ,24.在中,过点C作CE?CD交AD于点E,将线段EC绕点E逆时针旋转90得到线段EF(如 ABCD 图1) (1)在图1中画图探究: ,90?当P为射线CD上任意一点(P不与C重合)时,连结EP绕点E逆时针旋转得到线段EG.判111断直线FG与直线CD的位置关系,并加以证明; 1,90?当P为线段DC的延长线上任意一点时,连结EP,将线段EP绕点E 逆时针旋转得到线段EG.2222判断直线GG与直线CD的位置关系,画出图形并直接写出你的结论. 12 4(2)若AD=6,tanB=,AE=1,在?的条件下,设CP=,S=,求与之间的函数关系式,xxyy1 PFC113 并写出自变量的取值范围. x accident and the responsibility of leadership, such as concerning administrative sanctions should be dealt with by the personnel Department of the company. (3) personal injury accident occurs, the direct punishment 500-1000, who is directly responsible for the accident responsibility, give notice of criticism and 50-100 economic sanctions against them. (4) to conceal the accident, reported without undue delay or false, to inform the administrative leadership of the criticism, resulting in serious consequences, the pursuit of leadership, along with 500-1000 punishment. (5) significant near miss should be attempted as the case of responsible for the accident and construction team injuries accident penalty provisions, mutatis mutandis. Eight, should perform in the construction standards and specifications, serial number a 1 GB3323-2005 steel fusion welded butt joints, welding engineering-Ray lighting and quality rating of 2 GB11345-89 steel welds manual methods of ultrasonic inspection and testing results for grade 3 GB50236-2002 industrial pipe welding engineering code for construction and acceptance of field equipment 4 HGJ222-92 technical specification for welding of aluminium and its alloys 5 low temperature steel welding procedure 6 SH3525-2004 petrochemical JB/ T4708-2000 of welding procedure qualification for steel pressure vessels 7 JB/4709-2000 8 JB4730-2005 pressure vessel welding procedures of steel pressure vessel NDT 9 JB/T4744-2000 steel pressure vessel products mechanical properties test of welded plate II, mechanical equipment installation engineering 1 GB150-98 2 GB50128-2005 vertical cylindrical steel pressure vessel steel welded specification for construction and acceptance of oil tank 3 JB/ T4735-1997 steel welded atmospheric pressure vessel 4 GB50231-2009 mechanical equipment installation engineering construction and acceptance specification for 5 GB50275-98 compressor, fan 【点评】 本题考点:旋转;动点问题;三角形构成条件。 难度系数:????? 本题第一问在旋转问题上略作拓展,虽然图形复杂,有难度,认真思考一下,会得出正确结论。 难点在于第二问的自变量x取值范围,最容易忽略掉x=4时,三点共线,构不成三角形的情况。这个也是大多数同学失分的地方。做到完全正确,还要靠平时大量练习中 养成的思维严谨。 ABCxOy25.如图,在平面直角坐标系中,三个机战的坐标分别为 1A,6,0B6,0C0,43,,,延长AC到点D,使CD=,过点D作DE?AB交BC的延长线AC,,,,,,2 于点E. (1)求D点的坐标; ykxb,,(2)作C点关于直线DE的对称点F,分别连结DF、EF,若过B点的直线将四边形CDFE分成周长相等的两个四边形,确定此直线的解析式; ykxb,,(3)设G为y轴上一点,点P从直线与y轴的交点出发,先沿y轴到达G点,再沿GA到达A点,若P点在y轴上运动的速度是它在直线GA上运动速度的2倍,试确定G点的位置,使P点按照上述要求到达A点所用的时间最短。(要求:简述确定G点位置的方法,但不要求证明) accident and the responsibility of leadership, such as concerning administrative sanctions should be dealt with by the personne 三才教育奥数网 www.3cedu.com l Department of the company. (3) personal injury accident occurs, the direct punishment 500-1000, who is directly responsible f第 14 页 共 18 页 or the accident responsibility, give notice of criticism and 50-100 economic sanctions against them. (4) to conceal the acciden三才教育t, reported without undue delay or false, to inform the administrative leadership of the criticism, resulting in serious consequences, the pursuit of leadership, along with 500-1000 punishment. (5) significant near miss should be attempted as the case of responsible for the accident and construction team injuries accident penalty provisions, mutatis mutandis. Eight, should perform in the construction standards and specifications, serial number a 1 GB3323-2005 steel fusion welded butt joints, welding engineering-Ray lighting and quality rating of 2 GB11345-89 steel welds manual methods of ultrasonic inspection and testing results for grade 3 GB50236-2002 industrial pipe welding engineering code for construction and acceptance of field equipment 4 HGJ222-92 technical specification for welding of aluminium and its alloys 5 low temperature steel welding procedure 6 SH3525-2004 petrochemical JB/ T4708-2000 of welding procedure qualification for steel pressure vessels 7 JB/4709-2000 8 JB4730-2005 pressure vessel welding procedures of steel pressure vessel NDT 9 JB/T4744-2000 steel pressure vessel products mechanical properties test of welded plate II, mechanical equipment installation engineering 1 GB150-98 2 GB50128-2005 vertical cylindrical steel pressure vessel steel welded specification for construction and acceptance of oil tank 3 JB/ T4735-1997 steel welded atmospheric pressure vessel 4 GB50231-2009 mechanical equipment installation engineering construction and acceptance specification for 5 GB50275-98 compressor, fan “行动学习”奥数精品辅导班专用辅导资料 62531239 62538376 accident and the responsibility of leadership, such as concerning administrative sanctions should be dealt with by the personnel Department of the company. (3) personal injury accident occurs, the direct punishment 500-1000, who is directly responsible for the accident responsibility, give notice of criticism and 50-100 economic sanctions against them. (4) to conceal the accident, reported without undue delay or false, to inform the administrative leadership of the criticism, resulting in serious consequences, the pursuit of leadership, along with 500-1000 punishment. (5) significant near miss should be attempted as the case of responsible for the accident and construction team injuries accident penalty provisions, mutatis mutandis. Eight, should perform in the construction standards and specifications, serial number a 1 GB3323-2005 steel fusion welded butt joints, welding engineering-Ray lighting and quality rating of 2 GB11345-89 steel welds manual methods of ultrasonic inspection and testing results for grade 3 GB50236-2002 industrial pipe welding engineering code for construction and acceptance of field equipment 4 HGJ222-92 technical specification for welding of aluminium and its alloys 5 low temperature steel welding procedure 6 SH3525-2004 petrochemical JB/ T4708-2000 of welding procedure qualification for steel pressure vessels 7 JB/4709-2000 8 JB4730-2005 pressure vessel welding procedures of steel pressure vessel NDT 9 JB/T4744-2000 steel pressure vessel products mechanical properties test of welded plate II, mechanical equipment installation engineering 1 GB150-98 2 GB50128-2005 vertical cylindrical steel pressure vessel steel welded specification for construction and acceptance of oil tank 3 JB/ T4735-1997 steel welded atmospheric pressure vessel 4 GB50231-2009 mechanical equipment installation engineering construction and acceptance specification for 5 GB50275-98 compressor, fan 解析:怎样证明点G就是所求呢, 如图:P为MG的中点,P`为G`的中点。 首先,转化不同的速度。 动点P在MG线段上速度为二倍,在GA线段上速度为一倍,那么可以这样等效理解:动 点P以二倍速度走完MG的时间,等于动点P以一倍的速度走完1/2MG(即PG)的时间。 总时间等效于动点P以相同的一倍的速度走完PG+GA的时间。 现在,问题归结为如何求y轴上一点G,使AG+PG最短。其中P为MG的中点。 如图所示,AG+PG=AH为最短。(?OMB=30?,P为中点,PG=GH=PH) 其次,证明:设G`为所求的另一点,P`为MG`的中点。 ,现在需要证明AG`+G`P`AG+GP 即可。 作G`H`//GH, 所以P`G`=G`H`=P`H` ,,AG`+G`P`=AG`+G`H`AH`AH=AG+GP 同理,G`在MG线段上时,方法同上可证。 证明完毕 【点评】 本题考点:中心对称;直线解析式;最短距离。 难度系数:????? 本题第一问简单,考察基础知识。 第二问,略有难度,是过定点平分平行四边形周长问题,过平行四边形对角线交点的任意一条直线都可将它的周长和面积平分,所以本题中,连接点B、M则为所求直线。 第三问是本题最难点,也是这份试卷的最难点,是拉分选优题。 本题可以大胆猜想,假定一个结论,题中没有要求证明。 本题难点在于无从下手,首先得转化为相同的速度,才有可比性。然后转化为求线段和最短,再联系以前求线段最短的题型,大胆推测最短还是与直线有关,或者说两条线段要转化为一条accident and the responsibility of leadership, such as concerning administrative sanctions should be dealt with by the personne 三才教育奥数网 www.3cedu.com l Department of the company. (3) personal injury accident occurs, the direct punishment 500-1000, who is directly responsible f第 16 页 共 18 页 or the accident responsibility, give notice of criticism and 50-100 economic sanctions against them. (4) to conceal the acciden三才教育t, reported without undue delay or false, to inform the administrative leadership of the criticism, resulting in serious consequences, the pursuit of leadership, along with 500-1000 punishment. (5) significant near miss should be attempted as the case of responsible for the accident and construction team injuries accident penalty provisions, mutatis mutandis. Eight, should perform in the construction standards and specifications, serial number a 1 GB3323-2005 steel fusion welded butt joints, welding engineering-Ray lighting and quality rating of 2 GB11345-89 steel welds manual methods of ultrasonic inspection and testing results for grade 3 GB50236-2002 industrial pipe welding engineering code for construction and acceptance of field equipment 4 HGJ222-92 technical specification for welding of aluminium and its alloys 5 low temperature steel welding procedure 6 SH3525-2004 petrochemical JB/ T4708-2000 of welding procedure qualification for steel pressure vessels 7 JB/4709-2000 8 JB4730-2005 pressure vessel welding procedures of steel pressure vessel NDT 9 JB/T4744-2000 steel pressure vessel products mechanical properties test of welded plate II, mechanical equipment installation engineering 1 GB150-98 2 GB50128-2005 vertical cylindrical steel pressure vessel steel welded specification for construction and acceptance of oil tank 3 JB/ T4735-1997 steel welded atmospheric pressure vessel 4 GB50231-2009 mechanical equipment installation engineering construction and acceptance specification for 5 GB50275-98 compressor, fan “行动学习”奥数精品辅导班专用辅导资料 62531239 62538376 线段的长,最后确定是过A点的高线为所求。 能得到数学满分的同学,除了平时扎实的功底外,还需要考场上的灵感和运气。 能够完全理解命题人的意图,思维清晰的做出本题的同学应该是精英中的精英吧。 总 评 一、试题的基本结构 整个试卷分为第?、?两卷,共25个题目,120分。第?卷为选择题,共8个题目,32分。?卷为非选择题(包括填空题和解答题),其中填空题共4个题目,16分,解答题(包括计算题,证明题、应用题和综合题)共13个题目,72分。 1、题型与题量 全卷共有三种题型,25个小题,其中选择题8个,填空题4个,解答题13个。 选择题 填空题 解答题 题数 分值 题数 分值 题数 分值 8 32 4 16 13 72 2、考查的内容及分布 从试卷考查的内容来看,几乎覆盖了数学《课程标准》所列的主要知识点,并且对 初中 初中体育教案免费下载初中各年级劳动技术教案初中阶段各学科核心素养一览表初中二次函数知识点汇总初中化学新课程标准 数学的主要 内容:函数、方程与不等式、三角形、四边形、圆、统计、概率都作了重点考查。 内容分布 数与代数 图形与空间 统计与概率 分 数 60 46 14 二、整体评说 (一)(命题方向 从今年北京中考数学试卷的命题方向看,基本沿袭去年的风格和类型,但今年题型有少许变化,具体分析如下: 1.最后一道选择题:第8题,不再是图形展开类,而是动点及函数图像 2.填空题最后一道:第12题,还是找规律,类型没变,题有变化 3.计算第17题是新题型,出现两函数图像所围成区域范围内点的确定。 4.相似知识没有与压轴题结合,而是与第20题圆结合,求解半径长度。这是今年命题的新变化。 5.第22题,由原来的面积重叠类计算,变化为面积不变的图形拼接。 6.第23题,新增了函数平移与折叠。 7.第24题,旋转类试题继续单独出现。 8.第25题,压轴题以动点问题、最短距离出现。是一个新的命题变化。 考察重点:一元二次方程、函数图像及计算、梯形、四边形旋转、圆的切线、相似形、面积问题、动 点问题。 10年中考命题预测:函数图像、四边形旋转、面积问题、动点问题这四大类,将是10年中考命题的重 点、难点、热点。 (二)(难度比较 与08北京中考试题相比,今年试题难度略有下降。 accident and the responsibility of leadership, such as concerning administrative sanctions should be dealt with by the personnel Department of the company. (3) personal injury accident occurs, the direct punishment 500-1000, who is directly responsible for the accident responsibility, give notice of criticism and 50-100 economic sanctions against them. (4) to conceal the accident, reported without undue delay or false, to inform the administrative leadership of the criticism, resulting in serious consequences, the pursuit of leadership, along with 500-1000 punishment. (5) significant near miss should be attempted as the case of responsible for the accident and construction team injuries accident penalty provisions, mutatis mutandis. Eight, should perform in the construction standards and specifications, serial number a 1 GB3323-2005 steel fusion welded butt joints, welding engineering-Ray lighting and quality rating of 2 GB11345-89 steel welds manual methods of ultrasonic inspection and testing results for grade 3 GB50236-2002 industrial pipe welding engineering code for construction and acceptance of field equipment 4 HGJ222-92 technical specification for welding of aluminium and its alloys 5 low temperature steel welding procedure 6 SH3525-2004 petrochemical JB/ T4708-2000 of welding procedure qualification for steel pressure vessels 7 JB/4709-2000 8 JB4730-2005 pressure vessel welding procedures of steel pressure vessel NDT 9 JB/T4744-2000 steel pressure vessel products mechanical properties test of welded plate II, mechanical equipment installation engineering 1 GB150-98 2 GB50128-2005 vertical cylindrical steel pressure vessel steel welded specification for construction and acceptance of oil tank 3 JB/ T4735-1997 steel welded atmospheric pressure vessel 4 GB50231-2009 mechanical equipment installation engineering construction and acceptance specification for 5 GB50275-98 compressor, fan 有难度的题是:选择题第8题,动点类问题与函数图像结合(4分) 22题第二问,面积不变的图形拼接(2分) 24题第二问,自变量取值容易忽略x=4时,三点共线的情况(4分) 25题第三问,属于超难题。(3分) 09北京中考试卷,难题也就是这几点,分值13分。 水木学校?第一中考网 初中教研组 2009-6-29 accident and the responsibility of leadership, such as concerning administrative sanctions should be dealt with by the personne 三才教育奥数网 www.3cedu.com l Department of the company. (3) personal injury accident occurs, the direct punishment 500-1000, who is directly responsible f第 18 页 共 18 页 or the accident responsibility, give notice of criticism and 50-100 economic sanctions against them. (4) to conceal the acciden三才教育t, reported without undue delay or false, to inform the administrative leadership of the criticism, resulting in serious consequences, the pursuit of leadership, along with 500-1000 punishment. (5) significant near miss should be attempted as the case of responsible for the accident and construction team injuries accident penalty provisions, mutatis mutandis. Eight, should perform in the construction standards and specifications, serial number a 1 GB3323-2005 steel fusion welded butt joints, welding engineering-Ray lighting and quality rating of 2 GB11345-89 steel welds manual methods of ultrasonic inspection and testing results for grade 3 GB50236-2002 industrial pipe welding engineering code for construction and acceptance of field equipment 4 HGJ222-92 technical specification for welding of aluminium and its alloys 5 low temperature steel welding procedure 6 SH3525-2004 petrochemical JB/ T4708-2000 of welding procedure qualification for steel pressure vessels 7 JB/4709-2000 8 JB4730-2005 pressure vessel welding procedures of steel pressure vessel NDT 9 JB/T4744-2000 steel pressure vessel products mechanical properties test of welded plate II, mechanical equipment installation engineering 1 GB150-98 2 GB50128-2005 vertical cylindrical steel pressure vessel steel welded specification for construction and acceptance of oil tank 3 JB/ T4735-1997 steel welded atmospheric pressure vessel 4 GB50231-2009 mechanical equipment installation engineering construction and acceptance specification for 5 GB50275-98 compressor, fan “行动学习”奥数精品辅导班专用辅导资料 62531239 62538376
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