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1、2010年高考湖南省数学试卷-文科(含详细答案)绝密?启封并使用完毕前 2010年普通高等学校招生全国统一考试(湖南卷) 数学(文史类) 一、选择题:本小题共8小题，每小题5分，共40分.在每小题给出的四个选项中，只有一项符合题目要求的. 21. 复数等于 1,iA. 1+I B. 1-i C. -1+i D. -1-i 2. 下列命题中的假命题是 ，,xRx,tan1A. B. ，,xRx,lg03x,xRx,0,xR,20C. D. 【答案】C 2x,10=，故选C 【解析】对于C选项x,1时，. 3. 某商品销售量y(件)与销售价格x(元/件)负相关，则其回归方程可能是 yx,，1020
2、0yx,，10200A. B. yx,10200yx,10200C. D. ,xt,1p,cos,4. 极坐标和参数方程(t为参数)所表示的图形分别是 ,yt,，2,A. 直线、直线 B. 直线、圆 C. 圆、圆 D. 圆、直线 D 2yx,85. 设抛物线上一点P到y轴的距离是4，则点P到该抛物线焦点的距离是 A. 4 B. 6 C. 8 D. 12 6. 若非零向量a，b满足|，则a与b的夹角为 ababb|,(2)0,，,0000A. 30 B. 60 C. 120 D. 150 7.在?ABC中，角A，B，C所对的边长分别为a，b，c，若?C=120?，c=a，则 2A.a,b B.a
3、,b C. a,b D.a与b的大小关系不能确定 【命题意图】本题考查余弦定理，特殊角的三角函数值，不等式的性质，比较法,属中档题。 28.函数y=ax+ bx与y= (ab ?0，| a |?| b |)在同一直角坐标系中的图像可能是D logxb|a二、填空题:本大题共7小题，每小题5分，共35分，把答案填在答题卡中对应的题号后的横线上。 9.已知集合A=1,2,3，B=2，m，4，A?B=2,3，则m= 3 10.已知一种材料的最佳加入量在100g到200g之间，若用0.618法安排试验，则第一次试点的加入量可以是 g 【答案】171.8或148.2 【解析】根据0.618法，第一次试点
4、加入量为 110，(210,110)0.618,171.8 ，或 210,(210,110)0.618,148.2 ，【命题意图】本题考察优选法的0.618法，属容易题。 11.在区间-1,2上随即取一个数x，则x?0,1的概率为 。 1【答案】 3【命题意图】本题考察几何概率，属容易题。 12.图1是求实数x的绝对值的算法程序框图，则判断框?中可填 213.图2中的三个直角三角形是一个体积为20cm的几何体的三视图，则h= 4 cm 14.若不同两点P,Q的坐标分别为(a，b)，(3-b，3-a)，则线段PQ的垂直平分线l的斜率为 22 -1 ,圆(x-2)+(y-3)=1关于直线对称的圆的
5、方程为 。 aaa.,15.若规定E=的子集为E的第k个子集，其中aaa.,kkk1,21012nk,1kk,1n12k= ，则 222，？aa,(1)是E的第_5_个子集; ,1,3(2)E的第211个子集是_ 三、解答题:本大题共6小题，共75分，解答应写出文字说明、说明过程或演算步骤。 16. (本小题满分12分) 2已知函数 fxxx()sin22sin,(I)求函数的最小正周期。 fx()(II) 求函数的最大值及取最大值时x的集合。 fx()fx()17. (本小题满分12分) 为了对某课题进行研究，用分层抽样方法从三所高校A,B,C的相关人员中，抽取若干人组成研究小组、有关数据见
6、下表(单位:人) (I) 求x,y ; (II) 若从高校B、C抽取的人中选2人作专题发言，求这二人都来自高校C的概率。 18.(本小题满分12分) ABCDABCD,如图所示，在长方体中，AB=AD=1，AA=2，M是棱CC的中点 111111(?)求异面直线AM和CD所成的角的正切值; 111(?)证明:平面ABM?平面ABM111 19.(本小题满分13分) 为了考察冰川的融化状况，一支科考队在某冰川山上相距8Km的A、B两点各建一个考察基地，视冰川面为平面形，以过A、B两点的直线为x轴，线段AB的垂直平分线为y轴建立平面直角坐标系(图4)。考察范围到A、B两点的距离之和不超过10Km的
7、区域。 (I) 求考察区域边界曲线的方程: PP(II) 如图4所示，设线段 是冰川的部分边界线(不考虑其他边界)，当冰川融化12时，边界线沿与其垂直的方向朝考察区域平行移动，第一年移动0.2km，以后每年移动的距离为前一年的2倍。问:经过多长时间，点A恰好在冰川边界线上, 20.(本小题满分13分) 给出下面的数表序列: 其中表n(n=1,2,3 )有n行，第1行的n个数是1,3,5，2n-1，从第2行起，每行中的？每个数都等于它肩上的两数之和。 (I)写出表4，验证表4各行中数的平均数按从上到下的顺序构成等比数列，并将结论推广到表n(n?3)(不要求证明); (II)每个数列中最后一行都只
8、有一个数，它们构成数列1,4,12，记此数列为 ？bbb32n，4 求和: b，？,nbbbbbb12231nn，21(本小题满分13分) afxxaxa()(1)ln15,，,，已知函数其中a0,且a?-1. x(?)讨论函数的单调性; fx()332x,，,(23646),1xaxaxaaexgx(),(?)设函数(e是自然数的底数)。是,efxx(),1否存在a，使在a,-a上为减函数,若存在，求a的取值范围;若不gx()存在，请说明理由。 (英文版 ) easily blame, to prevent the broken window effect. Supervise the le
9、ading cadres to play an exemplary role, take the lead in the strict implementation of the and , lead to safeguard the solemnity and authority of the party discipline, ensure that the party discipline and the laws and regulations for implementation in place. Throughout the discipline in the daily sup
10、ervision and management , strengthen supervision and inspection, from the thorough investigation of violations of discipline behavior. Strengthen to key areas, key departments and key projects as well as the masses reflect the concentration of the units and departments for supervision. - strengtheni
11、ng supervision, discipline inspection and supervision of cadres to set an example for compliance with the and is a man must be hexyl, blacksmith needs its own hardware. Discipline inspection organs as the executor of the party discipline, and supervisor of the defenders, for its supervision must be
12、more strictly, discipline inspection and supervision of cadres to firmly establish the awareness of Party Constitution, sense of discipline and rules consciousness, politics loyalty, sense obey. Action speak Ji Ordinance to set an example of the regulations of the rule of law, strengthen supervision
13、 and accept the supervision of the firmness and consciousness, do comply with and . To firmly establish the discipline must first be disciplined, the supervisor will be subject to the supervision of concept, and consciously safeguard and implement party compasses party, take the lead in practicing t
14、hree strict real strict, so loyal, clean, play. To be good at learning, the Constitution and the as morality, politics and brought to fruition; to implement , do not want to, dare not, not with disciplinary ruler to supervision; to discipline a ruler, often the control inspection, and consciously in
15、 the ideological red line to draw the row Ming Good accumulation is indeed the bottom line, so that the heart has fear, said to have quit, the line has ended. Attached: indifferent to heart, calmly to the table in our life, there are many unpredictable things will happen, some good, some bad things,
16、 we cannot control is powerless to stop, but with time, you will find in life sometimes turns out to be not good, some bad things finally turned out to be a good thing, but then we muddy however did not know, this is the life teach us things. 1, life can be complex, can also be simple. Want simple l
17、ife of precipitation, to have enough time to reflect, to make Become more perfect. Life is the most important thing is not to win, but the struggle; not to have conquered, but to have fought well. 2, the plain is the background of life. Live a plain life, give up on themselves is not a coward, but t
18、he wise answers; not disillusioned after the heart, such as ashes, but experience the storm after the enlightenment; not unrewarding perfunctorily, but calm attitude of life of unrestrained self-confidence. Plain living, there is no noise noisy, no earthly troubles, more did not fill in the disconte
19、nt of desire, some just a calm, a calm. 3, memory of heart will not good things to erase the, life is a When no movie, pain is a beginning, the struggle is a kind of process, death is a kind of ending. Give up this giving up is the helpless, do not give up the abandoned, do not give up this giving u
20、p is ignorance, do not give up should not give up is persistent. 4, a thing figured is heaven, think impassability is hell. Since the living, to live better. Sometimes we because of too narrow-minded, too care around the chores and penny wise and pound foolish, not worth the candle. Some things to a
21、ttract trouble and worry, completely depends on how we look at and deal with it. Dont always take everything back to things, and dont get into a blind alley, dont want to face, dont be narrow-minded. Poke to care, is a kind of open-minded, a free and easy. 5, I am not afraid of others behind me a kn
22、ife, I afraid to look back and see stab me, is my intention to treat people; I am not afraid of the truth to tell the best friend, Im afraid he turned to it as a joke to tell dont 6, when we are in a positive frame of mind, you will find many good things; and when we are in a negative state of mind,
23、 you will find many depressed things; life happy and worry, all is you of life attitude, optimistic, good luck; loss of sink, Eritrea company. When you are in adversity, may wish to change a point of view to think everything over to the good Think, because good mentality decided the fate of the! 7,
24、people are tired, rest; heart tired, calm. Grow up, mature, this society read. Tired and sad, squat down, to their a hug. Because the world no one can sympathize with you, have mercy on you. You cry, tears is your own; you pain, no one can understand. Then you only tears to smile. 8, each people hav
25、e youth, Each youth are a story, the life of the world never gets easier, I want what, wish the world all know, as has been the same; now want anything, for fear that others know, or like to lose the same. 9, the heart move, everything in the world is followed by birth, Rangrang, important thing is
26、often the most difficult to open ones mouth, because words will reduce its importance; to let strangers people care about your life in the good things, the original is not easy 10, do not blame, do not laugh at who, also dont envy who. Like a person is a kind of feeling, not like a person is true. T
27、he truth is easy to explain, I feel Is unspeakable. The best travel life is that you in a strange place found a long lost touched. 11, happy life not in the bustling in, and in the peace of mind; no matter how many grievances, how uncomfortable, and ultimately to heal themselves or their own, others
28、 may got you to comfort, but never know your heart is how wanjianchuanxin. 12, maam, like a movie, learn to appreciate, learn to be grateful, learn tolerance, and goodness, helping others. Instead of accusing the society, as into one; and an exception is better to give than to what 13, dont envy him
29、 A sum of, dont lose your life and the life, respectively is: the former is a we experienced cannot escape in a day finally will last minute, while the latter is our persistent, we want to cherish the memory of those people and things. 14, learn to smile, learn to strong, the world you know so many
30、people, so many people and you are, you cannot change also cant let everyone like you, so also do not want to do. Life is too short to go crazy to love to go to waste, to chase the dream to regret. 15, when temper, a blessing to go. A wounding elegant people, the key is to control their own emotions
31、. With the mouth is the most stupid behavior. A control negative emotions than a can take a city more powerful water flow slow, language is expensive. People spent two years of time to learn to speak, but to spend a few years time to shut up. That is a kind of ability, that is a kind of wisdom. 16,
32、life is not perfect, sometimes, growth is not a cry, not an eyeful of tears, there is no trace of emotion, there is no gleam of hope, no desire, no action, no static, there is only one kind of downward sinking feeling, sink A murky? 6? 7? 6? 7 sink? 6? 7? 6? 7 toward the bottom of the sink. 17, in s
33、ome way, do not go, you will not know the other side scenery is beautiful. To you is not good, you do not mind too much, no one has an obligation to you; you learn knowledge, is you have weapons, you can start from scratch, but not unarmed; how do you treat people, does not represent how others trea
34、t you, if cannot see through this point, only inviting worry. 18, time is like a sponge in the water, as long as you are willing to squeeze, the total water is still there. Every life, after the ups and downs The best test of live, to life, survival and continuation, do not stop the struggle in the
35、joys and sorrows of life on the road, so that different soul to bear life beat, acceptance of suffering. 19, indifferent to heart, calmly in table, elegant and comfortable life, do not take what is so important. The pursuit will be disappointed; to be alive, you will have trouble. Life is the most a
36、fraid of what all want to care about, but also what all grasp is not firm, without scenery, separated populations, such as not to desire, all docked in the fate of the end. Why is too rigid, the natural, to go stay not to live, let go of obsession, revel is 20, if the fate of the broken Hopes of sai
37、ling, please dont despair, the coast is still, if the fate of the withered petals of the beautiful, please do not sink, the spring is still, life will always be endless trouble, please dont helpless, because they are still alive, is still a dream, the sun still, we still. Lost, keep memories; to get
38、, must work to; but the most important is good to cherish their own. 21, life, select the complex, is to choose the pain; choose a simple, is choose to be happy. The complex world like a Significance of pride. Hope is the ornate palace, outside people admiring the magnificent, living in the deep kno
39、wledge of living it to pay the price. Simple world as a simple log cabin outside ridiculed shabby, the heart is willing to go live to know the joy. Suffering and joy is their own choice. 22, learn how to use a single powerful heart, let the past be the past, let the future come. Life is really the e
40、nd of the end of an eagle is flying wings, life is constantly pursuit. Dont miss to regret, dont wait for old just miss. Time to return, seize every moment, again painstakingly again tired also Those struggling to fly. 23, life could not Yimapingchuan, even flat pavement, inevitably there will be a
41、few pieces of roadblocks. Some of the rocks around the past, while others have to move it out. Just move others put the stone is very easy, because the stone from the appearance we can discern; difficult to myself to move away the heart of stone head. Leave time to spend with her, often reflect my h
42、eart, so as to remove your heart of stone. 24, everything does not have to be demanding, come to, everything does not have to care about, over the past; failing to do not frown, laugh it laugh. Results Dont demand, do to; life is a simple, calm and peaceful. Always not to choose their own path and r
43、egret, life is like a train, the scenery and then the United States will retreat, the passage of time and encounter will eventually drifting further and further away, before is always himself. 25, everyone has a weakness, weakness is true humanity. That has no weakness, a shallow person. That people
44、 think there is no weakness, mostly false. Life has shortcomings, there are shortcomings is the real life. That no one regret, or childish or numbness or Self deception. It is in tolerance of weakness and so on to accept, people live happily. Hello, everyone! I am a party member. The title of my spe
45、ech is: study and implement the partys two laws, doing practical play highway. 2015 October 18, the Central Committee of the Communist Party of China promulgated the implementation of the and Chinese Communist Party discipline and punishment regulations. We Heyuan male passers-by to respond positive
46、ly to the call of the Central Committee of the party, earnestly organize the study party two regulations, truly grasp the essence and gist, and in their respective positions, to hold the bottom line of the discipline, build a strong ideological line of defense, with the courage to play, the courage
47、to fight tough and fearless spirit, at the crucial moment well to complete the task, with practical action to test the study and implement effect Because of discipline in the * * * * * * * * * * * story. Here, let me to cast a brick to attract jade, speak about our highway. Highway line section of t
48、he road surface transformation project, last year towards the country seized will be seized one of the items. To complete this arduous task, as a project management office director Comrade, keep in mind from the Communist Party membership, recognize and identify the bottom line, strict management, and strict adherence to the quality of the project. He not only set an example, honesty and self-discipline, but also requires the management of all the me