2014年中考模拟数学试题及答案.doc

difficult, not hating; blueprints, not rhetoric; words and simple, but full of love, truth, passion, entrepreneurial passion. Take this opportunity, my inspirational quotes Li Dazhaos classic iron specialise in uplifting blend with the article gave everyone, with a view on how to do well under the new situation of township and village leaders inspire and help, and also share with you. A good play to create iron shoulders strong arms, to assume the burden be passed; only specific qualities, will it be possible in specific areas to create a world. In my view, village chiefs in the new situation, we must first have five basic quality. One ambition is to pioneer. Who is handsome. People only high-minded can stimulate the flow of momentum to become brave and persistent, become quiet and powerful. Township and village party leaders, within their respective jurisdictions, political stability and economic and social development issues, decisions and orientation depends to a large extent because of your. Everybody in village chiefs and the positions, both the trust of the masses, the Organizations trust, more ability to you, fully affirmed the moral and other qualities. Therefore, we must always maintain the historical mission and social responsibility, and our ideal tree rooted in the hard work of the soil, with indomitable spirit, indomitable courage to open up a new situation of villages and towns. To have a feeling of closeness to the second. The people and country. Our business foundation in the peoples blood in the people power people. Advanced decisions of the party cadres to the feelings of the people is an eternal theme. Fan Zhong-yan, called first, and enjoy comfort about others, Zheng Banqiaos also wrote a Ya Chai lay listening to the rustling of bamboo, the suspect is suffering. Cao County officials, little my, a total turn off. Old of feudal official even has so feelings, alone we is to serving for purposes of people servant does? we more should always hold with on people of deep feelings, heart Department masses of leading visited tea, care masses of emotions thoughts complained, always insisted put masses of interests put in first, consciously from itself do up, from small do up, from masses most care, and most directly, and most reality of interests problem grabbed, real do love for people by Department, and right for people by with, and Lee for people by conspiracy to. Three with the fame of mind. Non-indifferent not insist your dream, without serenity not go far. Ascension to fame is morality, is the sublimation of the soul. As Township and village, be sure to maintain a normal state of mind, establish a correct viewpoint on power, position and values and Outlook, as fame is light like water, depending . 50 km, also red and like hundreds of thousands of the KMT military combat, but he went on to collect a variety of newspapers and magazines, and then race against time to pore over. As long as the study of mind, it is not necessary to come to the library, workshops, into the villages, people learned farming techniques, problem-solving methods, participation in2014年中考模拟数学试题第I卷（选择题 共30分）一、选择题（共10小题，每小题3分，计30分，每小题只有一个选项是符合题意的）1数轴上表示 4的点到原点的距离为（ ）A. 4 B. 4 C. D. 2下列图形中，既是轴对称图形，又是中心对称图形的是（ ）A B C D 3下列计算中，正确的是（ ）A BCD4.若一个三角形三个内角度数的比为123，那么这个三角形最小角的正切值为（ ）A. B. C. D. 5正比例函数y=kx的y值随x的增大而减小，则此函数的图象经过（ ）A一、二象限 B一、三象限C二、三象限 D三、四象限6.为了解居民用水情况，在某小区随机抽查了15户家庭的月用水量，结果如下表：月用水量（吨）45689户数25431则这15户家庭的月用水量的众数与中位数分别为（ ）（第7题图）A9、6 B6、6 C5、6 D5、5 7如图，在菱形ABCD中，对角线AC、BD相交于点O，作OEAB，交BC于点E，则OE的长一定等于（）ABE BA O CAD DOB8解分式方程，可知方程（ ）A解为 B解为 C解为 D无解24cm(第9题图)9小明用一张半径为24cm的扇形纸板做一个如图所示的圆锥形小丑帽子的侧面(接缝忽略不计)，如果做成的圆锥形小丑帽子的底面半径为10cm，那么这张扇形纸板的面积是（）A120cm2B240cm2C260cm2D480cm210将抛物线绕它的顶点旋转180，所得抛物线的解析式是（ ） A B C D 第II卷（非选择题 共90分）二、填空题（共6小题，每小题3分，计18分）11. 计算：= 12在ABC中，AB=AC，A=80，则B的大小为 13小悦买书需用48元钱，付款时恰好用了1元和5元的纸币共12张则所用的1元纸币为 张14请从下面A、B两题中任选一题作答，若多选，则按第一题计分.A. 如图，在中，若，则 (第14题图)OByxA(第15题图)（第16题图）ABCDEPQB. 用科学计算器计算：75tan37o （结果精确到0.1）15如图，已知一次函数与反比例函数的图象交于A、B两点观察图象，可知不等式的解集是 16. 如图，在边长为10的菱形ABCD中，对角线BD=16.点E是AB的中点，P、Q是BD上的动点，且始终保持PQ=2.则四边形AEPQ周长的最小值为_（结果保留根号）三、解答题（共9小题，计72分.解答应写出过程）17. （本题满分5分）化简： （第18题图）18（本题满分6分）如图，在矩形ABCD中，以顶点B为圆心、边BC长为半径作弧，交AD边于点E，连结BE，过C点作CFBE于F求证：BFAE04812162024283220324A级C级D级等级B级D级C级A级，a=25%B级，b=?（第19题图）频数（人数）19（本题满分7分）某校课题研究小组对本校九年级全体同学体育测试情况进行调查，他们随机抽查部分同学体育测试成绩（由高到低分四个等级），根据调查的数据绘制成如下的条形统计图和扇形统计图请根据以上不完整的统计图提供的信息，解答下列问题：（1）该课题研究小组共抽查了_名同学的体育测试成绩；扇形统计图中B级所占的百分比b=_，D级所在小扇形的圆心角的大小为 ；（2）请直接补全条形统计图；（3）若该校九年级共有600名同学，请估计该校九年级同学体育测试达标（测试成绩级以上，含级）的人数20.（本题满分8分）如图，小明在大楼30米高（即PH=30米，且PHHC）的窗口P处进行观测，测得山坡上A处的俯角为15，山脚B处得俯角为60，已知该山坡的坡度i（即tanABC）为1：.（点P、H、B、C、A在同一个平面上.点H、B、C在同一条直线上）（1）山坡坡角（即ABC）的度数等于_度；(直接填空)（2）求A、B两点间的距离（结果精确到0.1米，参考数据：1.414，1.732）.(第20题图)21（本题满分8分）2012年春，我国部分地区出现极寒天气.受灾某县生活必需物资紧张，每天需从外面调运生活必需物资120吨.有关部门紧急部署，从甲、乙两个生产厂家调运生活必需物资到该县，从两厂运送到该县的路程和运费如下表：到该县的路程（千米）运费（元吨千米）甲厂201.2乙厂141.5根据表中信息回答：（1）设从甲厂调运x吨，总运费为W(元)，试求出W关于与x的函数关系式.（2）受条件限制，甲厂每天最多可调出80吨，乙厂每天最多可调出90吨.怎样安排调运方案才能使每天的总运费最省，最省的运费为多少？22（本题满分8分）小明和小刚做游戏.游戏采用五张分别写有1、2、3、4、5的卡片.这些卡片，除数字外，其它完全相同.游戏规则是：将这五张牌的正面全部朝下，洗匀，从中随机抽取一张，抽得的数作为十位上的数字，然后，再从剩下的四张卡片中随机抽取一张，抽得的数作为个位上的数字，这样就得到一个两位数若这个两位数是3的倍数时，小刚胜；否则，小明胜.你认为这个游戏公平吗？若不公平，对谁有利？请运用概率知识进行说明 23（本题满分8分）如图，在RtABC中，ABC=90，D是AC的中点，过 A、B、D三点的圆交CB的延长线于点E.（1）求证：AE=CE； （2）若EF与过 A、B、D三点的圆相切于点E，交AC的延长线于点F，若CD=CF=2cm，求过 A、B、D三点的圆的直径。（第23题图）(第24题图)24（本题满分10分）如图，二次函数的图象与轴交于,两点，且与轴交于点.（1）求该抛物线的解析式，并判断的形状；（2）在此抛物线上是否存在点,使得以四点为顶点的四边形是直角梯形？若存在，求出点的坐标；若不存在，说明理由.25.（本题满分12分）【问题探究】（1）如图，点E是正高AD上的一定点，请在AB上找一点F，使，并说明理由；（2）如图，点M是边长为2的正高AD上的一动点，求的最小值；【问题解决】ABCDMABCDEABC（第25题图）（3）如图，A、B两地相距600km，AC是笔直地沿东西方向向两边延伸的一条铁路点B到AC的最短距离为360km今计划在铁路线AC上修一个中转站M，再在BM间修一条笔直的公路如果同样的物资在每千米公路上的运费是铁路上的两倍.那么，为使通过铁路由A到M再通过公路由M到B的总运费达到最小值，请确定中转站M的位置，并求出AM的长.（结果保留根号）数学试题参考答案第I卷（选择题 共30分）一、选择题（共10小题，每小题3分，计30分，每小题只有一个选项是符合题意的）题号12345678910答案ADBCDCADBC第II卷（非选择题 共90分）二、填空题（共6小题，每小题3分，计18分）11 1250 133 14A.8 B. 42.115或 16 7+三、解答题（共9小题，计72分。解答应写出过程）17.（本题满分5分）解：原式= （2分）= （3分） （4分） （5分）18（本题满分6分）证明：在矩形ABCD中，ADBC，A=90.AEB=FBC. （2分）04812162024283220324A级C级D级等级B级24（第19题答案图） CFBE， BFC=A=90. 由作图可知，BC=BE. BFCEAB. BF=AE. （6分）19（本题满分7分）解：（1）80，40%，18 ； （3分）（2）补全条形图（如右图）； （5分）（3）600=520，所以，估计该校九年级同学体育测试达标的人数约为520人（7分）20（本题满分8分）解：（1）30. （2分）（2）由题意得：PBH=60，APB=45.ABC=30，APB=90.在RtPHB中，PB=20， （5分）在RtPBA中，AB=PB=2034.6.答：A、B两点间的距离约34.6米. （8分）21（本题满分8分）解：（1）从甲厂调运物资x吨，则需从乙厂调运物资（120x）吨，. （3分） （2）根据题意可得：解得. （5分）W随x的增大而增大，故当时，.每天从甲厂调运30吨，从乙厂调运90吨，每天的总运费最省为2610元.（8分）22.（本题满分8分）解：游戏不公平，理由如下：可能出现的结果如表： （1分）一二123451（2，1）（3，1）（4，1）（5，1）2（1，2）（3，2）（4，2）（5，2）3（1，3）（2，3）（4，3）（5，3）4（1，4）（2，4）（3，4）（5，4）5（1，5）（2，5）（3，5）（4，5）表中共有20种等可能情况. （画树状图也可） （4分）经过分析得到是3的倍数共有8种，所以. （6分）所以游戏不公平，对小明有利. （8分）23（本题满分8分）解：（1）证明：连接DE，ABC=90ABE=90，AE是过 A、B、D三点的圆的直径 （2分）ADE=90，DEAC又D是AC的中点，DE是AC的垂直平分线AE=CE （4分）（2）CD=CF=2cm，AF=AC+CF=6cm.EF与过 A、B、D三点的圆相切于点E，AEF=90=ADE，又DAE=FAE，ADEEFA （6分），即 AE=2cm （8分）24（本题满分10分）解：根据题意，将A（,0）,B（2,0）代入y=-x2+ax+b中，得 解之，得 全所以抛物线的解析式为y=-x2+x+1.（3分）图1当x=0时，y=1.所以点C的坐标为（0，1）。所以在AOC中，AC=.在BOC中，BC=.AB=OA+OB=.因为AC2+BC2=.所以ABC是直角三角形。 （6分）（2）存在。由（1）知，ACBC, 若以BC为底边，则BCAP,如图（1）所示，可求得直线BC的解析式为.图2 直线AP可以看作是由直线AC平移得到的，所以设直线AP的解析式为，将A（,0）代入直线AP的解析式求得b=,所以直线AP的解析式为.因为点P既在抛物线上，又在直线AP上，所以点P的纵坐标相等，即-x2+x+1=.解得（不合题意，舍去）.当x=时，y=.所以点P的坐标为（，）. （8分） 若以AC为底边，则BPAC，如图（2）所示，可求得直线AC的解析式为.直线BP可以看作是由直线AC平移得到的，所以设直线BP的解析式为，将B（2,0）代入直线BP的解析式求得b=-4,所以直线BP的解析式为y=2x-4.因为点P既在抛物线上，又在直线BP上，所以点P的纵坐标相等，即-x2+x+1=2x-4解得（不合题意，舍去）.当x=-时，y=-9.所以点P的坐标为（-，-9）.综上所述，满足条件的点P的坐标为（，）或（-，-9）（10分）25（本题满分12分）ABCDMABCDEABC（25题答案图）FNDNFM解：（1）如图，作，垂足为点F，点F即为所求. （1分）理由如下：（略） （3分）（2）如图，作，垂足为点N，交AD于点M，此时最小，最小为CN的长. （5分）可求CN的长为，即的最小值为. （6分）（3）如图，作，垂足为点D，在AC异于点B的一侧作，作，垂足为点F，交AC于点M，点M即为所求. （9分）在Rt，可求得AD=480km.在Rt，可求得，得MD=km，所以AM=km. （12分）启动脱硝氨区系统前，先进行氨气稀释罐注水和并检查液氨储罐液氨储量足够，检查压缩空气系统、氨蒸发器、缓冲罐及管路系统是否正常，安全阀、调节阀试验合格，启动SCR的供氨系统，然后按以下步序启动脱硝系统。conferences, learned superiors policies; reports, you can learn to deal with problems, art, just wanted to learn, to learn at any time. To continuously expand the scope of the study. The complexity and comprehensiveness of our work, decided to not only do we want to be professionals, or if generalists, to dabble in different areas of knowledge. Mastery of knowledge not only to have knowledge to rational analysis. This on requirements we, not only to learning national of route, and approach, and policy, also to learning national of legal, and regulations; not only to with political theory armed mind, also to with economic theory guide work; not only to read history, also to read history; not only to absorption SM of mirror, also to gets is of road; not only to from local learn, also to to outside learn; not only to to books learn, also to field study learn. Therefore, I would encourage you, and more to the outside world when I have time to take a look at, take a stroll, outside developments, learn other peoples development approach, and then come back to guide our work. Second, we must think. Learning without thought to overshadow, thinking without learning is perilous. We want to foster the character of advancing with the times, forge ahead, often reflect themselves in adapting to the new situation on whether there are delays, have anything to fear in the reform and innovation, whether in terms of accelerating the development of a relaxation, keep promising State of mind. In order to do investigations, investigations is the road to heaven, God disposes of the base. To wants to real heard truth, and justice to truth, and get truth, received effectiveness, on must in-depth actual, and outreach, and in-depth masses, worship masses for Division, and masses heart, with masses with discussion everyone care of problem, listening they of calls, understand they of mood, feel they of suffering, summary they of experience, concentrated they of wisdom, especially on masses most hope, and most urgent, and most worries, and most complained of hot, and difficulties and focus problem, more to active research, caught not put. Dare to innovate, in our work, often remain the old way doesnt work, the new approach would not situation, the reason, the key is that many people know that copying other peoples ideas, mechanically, using someone elses old ways. To change this predicament, requires us to break the shackles of traditional concepts to overcome conservative, conformist, good at finding new problems and to accept new things, summarize new experience, new ideas, developing new programmes and Maverick, a new approach to solve problems, speed up development. Especially in implement superior policy spirit of process in the, both implementation, and cannot mechanically, to to extraordinary of courage and develop enterprising of spirit, put flexibility and principle combined up, put superior of spirit and local reality combined up, Yong conspiracy to breakthrough of policy, and exercise innovation of lift, developed out development works of, and grass-roots welcomes of11