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1、2010武汉中考数学试题及答案1二0一0年湖北省武汉市中考数学真题 第?卷,选择题共36分, 一、选择题,共12小题。每小题3分。共36分, 下列各题中均有四个备选答案其中有且只有一个正确请在答卷上将正确答案的代号涂黑( 1( 有理数,2的相反数是, , 11 ,A,2 ,B,2 ,C, ,D, 222( 函数中自变量x的取值范围是, , yx,1(A)x?1( (B)x?,1( (C)x?1( (D)x?,1( 3( 如图数轴上表示的是某不等式组的解集则这个不等式组可能是, , ,A,x,1x,2 ,B,x,1x,2 ,C,x,1 x,2 ,D,x,1x,2 4( 下列说法:?“掷一枚质地均
2、匀的硬币一定是正面朝上”,?“从一副普通扑克牌中任意抽取一张点数一定是6”( (A) ?都正确( (B)只有?正确(C)只有?正确(D)?都正确( 5( 2010年上海世博会开园第一个月共售出门票664万张664万用科学计数法表示为( ) 456 (A)66410 (B)66.4l0 (C)6.6410 7(D)0.664l0 6( 如图?ABC内有一点D且DA=DB=DC若?DAB=20?DAC=30?则?BDC的大小是, , (A)100? (B)80? (C)70? (D)50? advantages, facing the Yangtze River Delta, Pearl Rive
3、r Delta, Shandong peninsula, Beijing-Tianjin-Tangshan area, targeted investment promotion several times. Industry-led unit and various town streets are developing detailed promotion plans, the basis of what is specific to each industry, has formed a kind of scale, need to bring in the kind of projec
4、ts each town street has the kind of resources, what location, focus on the development of the kind of industries. Four stroke technology and science. Determinants of technology is the Countys economic development through scientific and technological innovation, improve product value-added and improv
5、e economic competitiveness, is the inevitable way to achieve leapfrog development. Talent is the city center citys first resource, is the primary industry development, and revitalization of the social protection. So, in terms of skills: to catch . Competitive. Encouraging enterprises to actively und
6、ertake science and technology projects, strengthening research cooperation, using advanced technology to increase the added value of their products to ensure that introduction of transforming scientific and technological achievements during the year . . New research enterprises . . Home, creating in
7、novative platforms . . Generic classifier. In: first, we must strengthen the cultivation of talent, efforts to increase vocational education and training and meet the basic demand of enterprise development. Then introduced a number of the county needed scarce education, health professionals, meet so
8、cial development needs to invest more in machinery, pharmaceutical manufacturing research and development in higher education, such as the introduction of talent to meet the need. Third, we must rely on . . Post-doctoral workstation, . . Food research station platform, to the XX University to find e
9、xperts 27( 若xx是方程x=4的两根则x+x的值是( ) 1212(A)8( (B)4( (C)2( (D)0( 8( 如图所示李老师办公桌上放着一个圆柱形茶叶盒 和一个正方体的墨水盒小芳从上面看看到的图形是 (A) (B) (C) (D) 9( 如图所有正方形的中心均在坐标原点且各边与x轴或y轴平行(从内到外它们的边长依次为2468顶点依次用AAAA表示则顶点A的坐标是, , 123455(A),1313, (B),1313, (C),1414, (D),14,14, 10(如图?O的直径AB的长为10弦AC长为6?ACB的平分线交?O于D则CD长为, , (A) 7 72(B)
10、82(C) (D) 9 11(随着经济的发展人们的生活水平不断提高(下图分别是某景点20072009年游客总人数和旅游收入年增长率统计图(已知该景点2008年旅游收入4500万元( Home, troduction of transforming scientific and technological achievements during the year . . New research enterprises . .strengthening research cooperation, using advanced technology to increase the added va
11、lue of their products to ensure that inects, . So, in terms of skills: to catch . Competitive. Encouraging enterprises to actively undertake science and technology projnt is the city center citys first resource, is the primary industry development, and revitalization of the social protectionadded an
12、d improve economic competitiveness, is the inevitable way to achieve leapfrog development. Tale-tion, improve product valuelogy and science. Determinants of technology is the Countys economic development through scientific and technological innovatechnos each town street has the kind of resources, w
13、hat location, focus on the development of the kind of industries. Four stroke otion plans, the basis of what is specific to each industry, has formed a kind of scale, need to bring in the kind of projectled unit and various town streets are developing detailed prom-Tangshan area, targeted investment
14、 promotion several times. Industry-Tianjin-advantages, facing the Yangtze River Delta, Pearl River Delta, Shandong peninsula, Beijingdoctoral workstation, . . Food research station platform, to the XX University to find experts-ely on . . Postmust rl manufacturing research and development in higher
15、education, such as the introduction of talent to meet the need. Third, we ounty needed scarce education, health professionals, meet social development needs to invest more in machinery, pharmaceuticahe cincrease vocational education and training and meet the basic demand of enterprise development. T
16、hen introduced a number of t creating innovative platforms . . Generic classifier. In: first, we must strengthen the cultivation of talent, efforts to2 下列说法:?三年中该景点2009年旅游收入最高,?与2007年相比该景点2009年的旅游收入增加4500(1+29%),4500(1,33%)万元,?若按2009年游客人数的年增长率计算2010年该景点游客总人数将达到280255,万人次。其中正确的个数是, , 280(1)，255(A)0 (
17、B)1 (C)2 (D)3 12(如图在直角梯形ABCD中AD?BC?DAABC=90?BD?DCBE=DCCE平分?BCD交AB于EH点E交BD于点HEN?DC交BD于点N(下列结NC论: BSEH ENH?BH=DH,?CH=,?( ,(21)EH，SEC EBH其中正确的是, , (A)? (B)只有? (C)只有? (D)只有? 第?卷,非选择题共84分) 二、填空题,共4小题每小题3分共12分)( 下列各题不需要写出解答过程请将结果宣接填写在答卷指定的位置( 2 22(5),13(计算:sin30?=_(,3a)=_=_( 14(某校八年级(2)班四名女生的体重(单位:kg)分别是:
18、35363840(这组数据的中位数是_( 15(如图直线y=kx+b过点A,02,且与直线y=mx交于点P,1m,则不12/ 10 doctoral workstation, . . Food research station platform, to the XX University to find expertstive platforms . . Generic classifier. In: first, we must strengthen the cultivation of talent, efforts to increase vocat-ostch and developm
19、ent in higher education, such as the introduction of talent to meet the need. Third, we must rely on . . Presearrce education, health professionals, meet social development needs to invest more in machinery, pharmaceutical manufacturing education and training and meet the basic demand of enterprise
20、development. Then introduced a number of the county needed scaional ming scientific and technological achievements during the year . . New research enterprises . . Home, creating innovaansforsearch cooperation, using advanced technology to increase the added value of their products to ensure that in
21、troduction of trls: to catch . Competitive. Encouraging enterprises to actively undertake science and technology projects, strengthening recitys first resource, is the primary industry development, and revitalization of the social protection. So, in terms of skiladded and improve economic competitiv
22、eness, is the inevitable way to achieve leapfrog development. Talent is the city center -valueuct Determinants of technology is the Countys economic development through scientific and technological innovation, improve prod the kind of resources, what location, focus on the development of the kind of
23、 industries. Four stroke technology and science. s formed a kind of scale, need to bring in the kind of projects each town street hasled unit and various town streets are developing detailed promotion plans, the basis of what is specific to each industry, ha-d investment promotion several times. Ind
24、ustryTangshan area, targete-Tianjin-advantages, facing the Yangtze River Delta, Pearl River Delta, Shandong peninsula, Beijing3 等式组 mx,kx+b,mx,2的解集是_. ,第15题图, ,第16题图, k3y,16(如图直线与y轴交于点A与双曲线在第一象限交于B、Cyxb,，x3两点且ABAC=4则k=_( 三、解答题(共9小题共72分) 下列各题需要在答卷指定位置写出文字说明、证明过程、演算步骤或画出图形( 217(本题满分6分)解方程:x+x,1=0( 53x
25、,(2)x,x,2318(本题满分6分)先化简再求值:其中( xx，22419(本题满分6分)如图。点BFCE在同一条直线上点AD在直线BE的两侧AB?DEAC?DFBF=CE(求证:AC=DF( Home, troduction of transforming scientific and technological achievements during the year . . New research enterprises . .strengthening research cooperation, using advanced technology to increase the
26、added value of their products to ensure that inects, . So, in terms of skills: to catch . Competitive. Encouraging enterprises to actively undertake science and technology projnt is the city center citys first resource, is the primary industry development, and revitalization of the social protection
27、added and improve economic competitiveness, is the inevitable way to achieve leapfrog development. Tale-tion, improve product valuelogy and science. Determinants of technology is the Countys economic development through scientific and technological innovatechnos each town street has the kind of reso
28、urces, what location, focus on the development of the kind of industries. Four stroke otion plans, the basis of what is specific to each industry, has formed a kind of scale, need to bring in the kind of projectled unit and various town streets are developing detailed prom-Tangshan area, targeted in
29、vestment promotion several times. Industry-Tianjin-advantages, facing the Yangtze River Delta, Pearl River Delta, Shandong peninsula, Beijingdoctoral workstation, . . Food research station platform, to the XX University to find experts-ely on . . Postmust rl manufacturing research and development in
30、 higher education, such as the introduction of talent to meet the need. Third, we ounty needed scarce education, health professionals, meet social development needs to invest more in machinery, pharmaceuticahe cincrease vocational education and training and meet the basic demand of enterprise develo
31、pment. Then introduced a number of t creating innovative platforms . . Generic classifier. In: first, we must strengthen the cultivation of talent, efforts to 4 AFCEBD 20(本题满分7分) 小伟和小欣玩一种抽卡片游戏:将背面完全相同正面分别写有1234的四张卡片混合后小伟从中随机抽取一张。记下数字后放回混合后小欣再随机抽取一张记下数字(如果所记的两数字之和大于4则小伟胜,如果所记的两数字之和不大于4则小欣胜。 (1) 请用列表或
32、画树形图的方法。分别求出小伟小欣获胜的概率, (2) 若小伟抽取的卡片数字是1问两人谁获胜的可能性大?为什么? 21(本题满分7分) (1)在平面直角坐标系中将点A,34,向右平移5个单位到点A再将点A绕坐标原点顺时针旋转90?到点A(直接写出点A1121A的坐标, 2(2) 在平面直角坐标系中将第二象限内的点B,ab,向右平移m个单位到第一象限点B再将点B绕坐标原点顺时针旋转90?到点B直接写112出点BB的坐标, 12(3) 在平面直角坐标系中。将点P,cd,沿水平方向平移n个单位到点P1再将点P绕坐标原点顺时针旋转90?到点P直接写出点P的坐标( 122/ 10 doctoral wor
33、kstation, . . Food research station platform, to the XX University to find experts-ostch and development in higher education, such as the introduction of talent to meet the need. Third, we must rely on . . Presearrce education, health professionals, meet social development needs to invest more in ma
34、chinery, pharmaceutical manufacturing education and training and meet the basic demand of enterprise development. Then introduced a number of the county needed scaional -tive platforms . . Generic classifier. In: first, we must strengthen the cultivation of talent, efforts to increase vocatming scie
35、ntific and technological achievements during the year . . New research enterprises . . Home, creating innovaansforsearch cooperation, using advanced technology to increase the added value of their products to ensure that introduction of trls: to catch . Competitive. Encouraging enterprises to active
36、ly undertake science and technology projects, strengthening recitys first resource, is the primary industry development, and revitalization of the social protection. So, in terms of skiladded and improve economic competitiveness, is the inevitable way to achieve leapfrog development. Talent is the c
37、ity center valueuct Determinants of technology is the Countys economic development through scientific and technological innovation, improve prod the kind of resources, what location, focus on the development of the kind of industries. Four stroke technology and science. s formed a kind of scale, nee
38、d to bring in the kind of projects each town street hasled unit and various town streets are developing detailed promotion plans, the basis of what is specific to each industry, ha-d investment promotion several times. IndustryTangshan area, targete-Tianjin-advantages, facing the Yangtze River Delta
39、, Pearl River Delta, Shandong peninsula, Beijing5 22(本题满分8分) 如图点O在?APB的平分线上?O与PA相切于点C( (1) 求证:直线PB与?O相切, (2) PO的延长线与?O交于点E(若?O的半径为3PC=4(求弦CE的长( 23(本题满分10分)某宾馆有50个房间供游客住宿当每个房间的房价为每天l80元时房间会全部住满(当每个房间每天的房价每增加10元时就会有一个房间空闲(宾馆需对游客居住的每个房间每天支出20元的各种费用(根据规定每个房间每天的房价不得高于340元(设每个房间的房价每天增加x元(x为10的正整数倍)( (1) 设
40、一天订住的房间数为y直接写出y与x的函数关系式及自变量x的取值范围, (2) 设宾馆一天的利润为w元求w与x的函数关系式, (3) 一天订住多少个房间时宾馆的利润最大? 最大利润是多少元? 24(本题满分10分) 已知:线段OA?OB点C为OB中点D为线段OA上一点。连结ACBD交于点P( AP(1) 如图1当OA=OB且D为OA中点时求的值, PCHome, troduction of transforming scientific and technological achievements during the year . . New research enterprises . .s
41、trengthening research cooperation, using advanced technology to increase the added value of their products to ensure that inects, . So, in terms of skills: to catch . Competitive. Encouraging enterprises to actively undertake science and technology projnt is the city center citys first resource, is
42、the primary industry development, and revitalization of the social protectionadded and improve economic competitiveness, is the inevitable way to achieve leapfrog development. Tale-tion, improve product valuelogy and science. Determinants of technology is the Countys economic development through sci
43、entific and technological innovatechnos each town street has the kind of resources, what location, focus on the development of the kind of industries. Four stroke otion plans, the basis of what is specific to each industry, has formed a kind of scale, need to bring in the kind of projectled unit and
44、 various town streets are developing detailed prom-Tangshan area, targeted investment promotion several times. Industry-Tianjin-advantages, facing the Yangtze River Delta, Pearl River Delta, Shandong peninsula, Beijingdoctoral workstation, . . Food research station platform, to the XX University to
45、find experts-ely on . . Postmust rl manufacturing research and development in higher education, such as the introduction of talent to meet the need. Third, we ounty needed scarce education, health professionals, meet social development needs to invest more in machinery, pharmaceuticahe cincrease voc
46、ational education and training and meet the basic demand of enterprise development. Then introduced a number of t creating innovative platforms . . Generic classifier. In: first, we must strengthen the cultivation of talent, efforts to6 AD1(2) 如图2当OA=OB且时求tan?BPC的值( ,AO4(3) 如图3当AD?AO?OB=1?时直接写出tan?B
47、PC的值( n2n,图1, ,图2, ,图3, 3225(本题满分12分) 如图(抛物线经过A,10,C,2,yaxaxb,，212两点与x轴交于另一点B( (1) 求此地物线的解析式, (2) 若抛物线的顶点为M点P为线段OB上一动点 (不与点B重合)点Q43.193.25观察物体2 生活中的数1 P22-232在线段MB上移动且?MPQ=45?设线段OP=xMQ=求y与x的y2223. 圆的对称性:函数关系式并直接写出自变量x的取值范围, （3）当0时，设抛物线与x轴的两个交点为A、B，则这两个点之间的距离：(3) 在同一平面直角坐标系中两条直线x=mx=n分别与抛物线交于点EG与(2)中的函数图象交于点FH(问四边形EFHG能否为平行四边形? 若能求mn之间的数量关系,若不能请说明理由( 其中点在圆上的数量特征是重点，它可用来证明若干个点共圆，方法就是证明这几个点与一个定点、的距离相等。/ 10 doctoral workstation, . . Food research station platform, to the XX University to find experts-ostch and development in higher