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1、2008年山西中考数学真题及答案2008年山西省高中阶段教育教育招生统一考试 数 学 一、填空题(每小题2分，共20分) 1(-5的相反数是 。 2(在“2008北京”奥运会国家体育场“鸟巢”钢结构工程施工建设中，首先使用了我国科研人员自主研制的强度为460 000 000帕的钢材，这个数据用科学计数法表示为 帕。 233(计算: 。 ，2x,3x,4(如图，直线a?b，直线AC分别交a、b于点B、C，直线AD交a于点D。o o若?1=20 , ?2=65,则?3= 。 5(某校开展为地震灾区捐款活动，九年级(2)班第1 组8名学生捐款如下(单位:元) 100 50 20 20 30 10 2
2、0 15 则这组数据的众数是 。 3,x,0,6(不等组的解集是 。 ,4x，1,x，7,101,(计算: 。 78232，,，,2,8(在方格纸上建立如图所示的平面直角坐标系，将?ABO绕点Oo按顺时针方向旋转90 ,得?ABO，则点A的对应点A的坐标为 。 9(二次函数的图象的对称轴是直线 。 y,x2，2x,310(如图所示的图案是由正六边形密铺而成，黑色正六边形周围第一层有六个白色正六边形，则第n层有 白色正六边形。 二、选择题(在下列各小题中，均给出四个备选答案，其中只有一个是正确答案，请将正确答案的字母代号填入下表相应的空格内。每小题3分，共24分) 题号 11 12 13 14
3、15 16 17 18 答案 2x，3x,011(一元二次方程的解是 x,3x,3A( B(x,0,x,3 C(x,0,x,3 D( 121212(下列运算正确的是 b，1,b，1222,A( B( ，,a,b,a，2ab，baa6a，12，,2,2,2a，1C( D( 313(如图所示的图形是由7个完全相同的小立方体组成的立体图形，这个立体图形的主视力是 layout development cities in developed countries show that developing rail transit Guide and an important means of achie
4、ving sustainable urban development. More than the bulk of the urban rail transit vehicles, rail traffic in the urban space layout and guide the evacuation, optimizing the structure and other aspects also play an important role in its role as the scale becomes more important. Rail transit on land dev
5、elopment and stimulation is achieved through its good accessibility, under the dual role of mechanisms in land and planning, transport accessibility high land along the rail transit development and high strength, promotion of urban morphology and land use patterns to adjust accordingly. 1, and Copen
6、hagen 1947, Copenhagen refers to shaped planning introduced, requirements land development along narrow of finger corridor concentrated, refers to shaped planning guide big Copenhagen area along track traffic line clear defined of corridor for Metro development, through track traffic and city develo
7、pment of integration, will along development concentrated in track station around a km around, around track site land implementation integrated intensive development, and provides good of non-mobile of way received connection facilities, Ensure that a larger proportion of the regions residents commu
8、te using mass transit. Figure 5.1-3 Copenhagen Metro City Development 2, Tokyo 5.1-4 Tokyo Metro to guide regional development (left: 1950, right: 2000) formation is the mass transit system of the city of Tokyo, which have been developed under the guidance of. Eastern suburbs . Established to track
9、traffic based on the network-city, using rail-oriented intensive development mode has been recognized in many cities. Created the urban structure of the node, forming the urban rail transit-dependent and lifestyle, as well as mass transit systems provide adequate passenger protection. 5.1.3 to guide
10、 the healthy development of 14(在平面直角坐标系中，点在第三象限，则m的取值范围是 ，,7,2m，11111A(m, B(m, C(m, D( m,22222215(抛物线经过平移得到，平移方法是 y,2x,4x,5y,2xA(向左平移1个单位，再向下平移3个单位 B(向左平移1个单位，再向上平移3个单位 C(向右平移1个单位，再向下平移3个单位 D(向右平移1个单位，再向上平移3个单位 o16(王师傅在楼顶上的点A处测得楼前一棵树CD的顶端C的俯角为60 , 又知水平距离BD=10m，楼高AB=24 m，则树高CD为 ,103,A(m B(m C(m D(9m
11、24,，24,10324,53,3,k，y,k,0(如图，第四象限的角平分线OM与反比例函数的图象交于点A，17x32已知OA=，则该函数的解析式为 33y,y,A( B( xx99y,y, C( D( xxo18(如图，有一圆心角为120 、半径长为6cm的扇形，若将OA、OB重合后围成一圆锥侧面，那么圆锥的高是 35262342A(cm B(cm C(cm D(cm 三、解答题(本题共76分) 3x，6x,21,x,619(本题8分)求代数式的值:，其中。 2x，2x,2x，4x，4-provides good of non t, andpment concentrated in trac
12、k station around a km around, around track site land implementation integrated intensive developmenclear defined of corridor for Metro development, through track traffic and city development of integration, will along develoline lopment along narrow of finger corridor concentrated, refers to shaped
13、planning guide big Copenhagen area along track traffictterns to adjust accordingly. 1, and Copenhagen 1947, Copenhagen refers to shaped planning introduced, requirements land deveuse paansport accessibility high land along the rail transit development and high strength, promotion of urban morphology
14、 and land opment and stimulation is achieved through its good accessibility, under the dual role of mechanisms in land and planning, trdevel structure and other aspects also play an important role in its role as the scale becomes more important. Rail transit on landthe bulk of the urban rail transit
15、 vehicles, rail traffic in the urban space layout and guide the evacuation, optimizing the sustainable urban development. More than layout development cities in developed countries show that developing rail transit Guide and an important means of achieving 2velopment ofdependent and lifestyle, as we
16、ll as mass transit systems provide adequate passenger protection. 5.1.3 to guide the healthy de-mode has been recognized in many cities. Created the urban structure of the node, forming the urban rail transitoriented intensive development -city, using rail-guidance of. Eastern suburbs . Established
17、to track traffic based on the networkent (left: 1950, right: 2000) formation is the mass transit system of the city of Tokyo, which have been developed under the 4 Tokyo Metro to guide regional developm-3 Copenhagen Metro City Development 2, Tokyo 5.1-transit. Figure 5.1mobile of way received connec
18、tion facilities, Ensure that a larger proportion of the regions residents commute using mass 20(本题6分)如图，在4 3的网格上，由个数相同的白色方块与黑色方块组成一幅图案，请仿照此图案，在下列网格中分别设计出符合要求的图案(注:?不得与原图案相同;?黑、白方块的个数要相同)。 21(本题10分)“安全教育，警钟长鸣”，为此某校从14000名学生中随机抽取了200名学生就安全知识的了解情况进行问卷调查，然后按“很好”、“较好”、“一般”、“较差”四类汇总分析，并绘制了扇形统计图(如图)。 (1)补全
19、扇形统计图，并计算这200名学生中对安全知识了解“较好”、“很好”的总人数。(2)在图(2)中，绘制样本频数的条形统计图。 (3)根据以上信息，请提出一条合理化建议。 rming the urban rail transitoriented intensive development mode has been recognized in many cities. Created the urban structure of the node, fo-city, using rail-kyo, which have been developed under the guidance of. E
20、astern suburbs . Established to track traffic based on the network4 Tokyo Metro to guide regional development (left: 1950, right: 2000) formation is the mass transit system of the city of To-3 Copenhagen Metro City Development 2, Tokyo 5.1-larger proportion of the regions residents commute using mas
21、s transit. Figure 5.1mobile of way received connection facilities, Ensure that a -mentation integrated intensive development, and provides good of nonlopment of integration, will along development concentrated in track station around a km around, around track site land impley devee big Copenhagen ar
22、ea along track traffic line clear defined of corridor for Metro development, through track traffic and citanning introduced, requirements land development along narrow of finger corridor concentrated, refers to shaped planning guidped pl, promotion of urban morphology and land use patterns to adjust
23、 accordingly. 1, and Copenhagen 1947, Copenhagen refers to shale of mechanisms in land and planning, transport accessibility high land along the rail transit development and high strengthual roomes more important. Rail transit on land development and stimulation is achieved through its good accessib
24、ility, under the dand guide the evacuation, optimizing the structure and other aspects also play an important role in its role as the scale becsustainable urban development. More than the bulk of the urban rail transit vehicles, rail traffic in the urban space layout layout development cities in dev
25、eloped countries show that developing rail transit Guide and an important means of achieving 3velopment ofdependent and lifestyle, as well as mass transit systems provide adequate passenger protection. 5.1.3 to guide the healthy de- 22(本题10分)甲、乙两人在玩转盘游戏时，把转盘A、B分成3等份、4等份，并在每一份内标有数字(如图)。 游戏规则:同时转动两个转盘
26、，当转盘停止后，指针所在区域的数字之积为奇数时，甲胜;指针所在区域的数字之积为偶数时，乙胜。如果指针恰好在分割线上，则需重新转动转盘。 (1)用树状图或列表的方法，求甲获胜的概率。 (2)这个游戏规则对甲、乙双方公平吗,请判断并说明理由。 (本题8分)如图，已知CD是?ABC中AB边上的高，以CD为直径的?O分别交CA、CB于点E、23F，点G是AD的中点。求证:GE是?O的切线。 t, andpment concentrated in track station around a km around, around track site land implementation integra
27、ted intensive developmenclear defined of corridor for Metro development, through track traffic and city development of integration, will along develoline lopment along narrow of finger corridor concentrated, refers to shaped planning guide big Copenhagen area along track traffictterns to adjust acco
28、rdingly. 1, and Copenhagen 1947, Copenhagen refers to shaped planning introduced, requirements land deveuse paansport accessibility high land along the rail transit development and high strength, promotion of urban morphology and land opment and stimulation is achieved through its good accessibility
29、, under the dual role of mechanisms in land and planning, trdevel structure and other aspects also play an important role in its role as the scale becomes more important. Rail transit on landthe bulk of the urban rail transit vehicles, rail traffic in the urban space layout and guide the evacuation,
30、 optimizing the sustainable urban development. More than layout development cities in developed countries show that developing rail transit Guide and an important means of achieving 4velopment ofdependent and lifestyle, as well as mass transit systems provide adequate passenger protection. 5.1.3 to
31、guide the healthy de-mode has been recognized in many cities. Created the urban structure of the node, forming the urban rail transitoriented intensive development -city, using rail-guidance of. Eastern suburbs . Established to track traffic based on the networkent (left: 1950, right: 2000) formatio
32、n is the mass transit system of the city of Tokyo, which have been developed under the 4 Tokyo Metro to guide regional developm-3 Copenhagen Metro City Development 2, Tokyo 5.1-transit. Figure 5.1mobile of way received connection facilities, Ensure that a larger proportion of the regions residents c
33、ommute using mass -provides good of non 24(本题8分)某文化用品商店用200元购进一批学生书包，面市后发现供不应求，商店又购进第二批同样的书包，所购数量是第一批购进数量的3倍，但单价贵了4元，结果第二批用了6300元。 (1)求第一批购进书包的单价是多少元, (2)若商店销售这两批书包时，每个售价都是120元，全部售出后，商店共盈利多少元, 25(本题12分)如图，已知?ABC是等边三角形，D、E分别在边BC、AC上，且CD=CE，连结DE并延长至点F，使EF=AE，连结AF、BE和CF。 (1)请在图中找出一对全等三角形，用符号“?”表示，并加以证明
34、。 (2)判断四边形ABDF是怎样的四边形，并说明理由。 (3)若AB=6，BD=2DC，求四边形ABEF的面积。 -larger proportion of the regions residents commute using mass transit. Figure 5.1mobile of way received connection facilities, Ensure that a -mentation integrated intensive development, and provides good of nonlopment of integration, will al
35、ong development concentrated in track station around a km around, around track site land impley devee big Copenhagen area along track traffic line clear defined of corridor for Metro development, through track traffic and citanning introduced, requirements land development along narrow of finger cor
36、ridor concentrated, refers to shaped planning guidped pl, promotion of urban morphology and land use patterns to adjust accordingly. 1, and Copenhagen 1947, Copenhagen refers to shale of mechanisms in land and planning, transport accessibility high land along the rail transit development and high st
37、rengthual roomes more important. Rail transit on land development and stimulation is achieved through its good accessibility, under the dand guide the evacuation, optimizing the structure and other aspects also play an important role in its role as the scale becsustainable urban development. More th
38、an the bulk of the urban rail transit vehicles, rail traffic in the urban space layout layout development cities in developed countries show that developing rail transit Guide and an important means of achieving 5velopment ofdependent and lifestyle, as well as mass transit systems provide adequate p
39、assenger protection. 5.1.3 to guide the healthy de-rming the urban rail transitoriented intensive development mode has been recognized in many cities. Created the urban structure of the node, fo-city, using rail-kyo, which have been developed under the guidance of. Eastern suburbs . Established to t
40、rack traffic based on the network4 Tokyo Metro to guide regional development (left: 1950, right: 2000) formation is the mass transit system of the city of To-3 Copenhagen Metro City Development 2, Tokyo 5.1 26(本题14分)如图，已知直线的解析式为，直线与x轴、y轴分别相交于A、B两点，lly,3x，611直线经过B、C两点，点C的坐标为(8，0)，又已知点P在xl2轴上从点A向点C移动，
41、点Q在直线从点C向点B移动。点P、l2Q同时出发，且移动的速度都为每秒1个单位长度，设移动时间为1,t,10t秒()。 (1)求直线的解析式。 l2(2)设?PCQ的面积为S，请求出S关于t的函数关系式。 (3)试探究:当t为何值时，?PCQ为等腰三角形, transit. Figure 5.1mobile of way received connection facilities, Ensure that a larger proportion of the regions residents commute using mass -provides good of non t, andpm
42、ent concentrated in track station around a km around, around track site land implementation integrated intensive developmenclear defined of corridor for Metro development, through track traffic and city development of integration, will along develoline lopment along narrow of finger corridor concent
43、rated, refers to shaped planning guide big Copenhagen area along track traffictterns to adjust accordingly. 1, and Copenhagen 1947, Copenhagen refers to shaped planning introduced, requirements land deveuse paansport accessibility high land along the rail transit development and high strength, promo
44、tion of urban morphology and land opment and stimulation is achieved through its good accessibility, under the dual role of mechanisms in land and planning, trdevel structure and other aspects also play an important role in its role as the scale becomes more important. Rail transit on landthe bulk o
45、f the urban rail transit vehicles, rail traffic in the urban space layout and guide the evacuation, optimizing the sustainable urban development. More than layout development cities in developed countries show that developing rail transit Guide and an important means of achieving 6velopment ofdepend
46、ent and lifestyle, as well as mass transit systems provide adequate passenger protection. 5.1.3 to guide the healthy de-mode has been recognized in many cities. Created the urban structure of the node, forming the urban rail transitoriented intensive development -city, using rail-guidance of. Easter
47、n suburbs . Established to track traffic based on the networkent (left: 1950, right: 2000) formation is the mass transit system of the city of Tokyo, which have been developed under the 4 Tokyo Metro to guide regional developm-3 Copenhagen Metro City Development 2, Tokyo 5.1- 2008山西省高中阶段教育教育招生统一考试数学
48、答案 一、 1(5 82( 4.6，1053( 18xo4(45 5(20元 x,26( 7( 2，28(2，3) (二)空间与图形x,19( 五、教学目标：10(6n A、当a0时二、 第二章 二次函数题号 11 12 13 14 15 16 17 18 答案 C B C D D A D A 135.215.27加与减（三）4 P75-80larger proportion of the regions residents commute using mass transit. Figure 5.1mobile of way received connection facilities, E
49、nsure that a -mentation integrated intensive development, and provides good of nonlopment of integration, will along development concentrated in track station around a km around, around track site land impley devee big Copenhagen area along track traffic line clear defined of corridor for Metro development, through track