第一篇：高三数学练习(7)
高三数学练习（解析几何）
1.过点(－1，－2)的直线l被圆x2＋y2－2x－2y＋1＝0截得的弦长为2，则直线l的斜率为________．
2.若直线x－2y＋5＝0与直线2x＋my－6＝0互相垂直，则实数m＝________.3.设两圆C1、C2都和两坐标轴相切，且都过点(4,1)，则两圆心的距离|C1C2|＝()
A．4B．42C．8D．82
4.已知圆C经过A(5,1)，B(1,3)两点，圆心在x轴上，则C的方程为________．
5.在圆x2＋y2－2x－6y＝0内，过点E(0,1)的最长弦和最短弦分别为AC和BD，则四边形ABCD的面积为________．
6.若直线3x＋y＋a＝0过圆x2＋y2＋2x－4y＝0的圆心，则a的值为()
A．－1B．1C．3D．－3
7.设圆C与圆x2＋(y－3)2＝1外切，与直线y＝0相切，则C的圆心轨迹为()
A．抛物线B．双曲线C．椭圆D．圆
x2y211328.椭圆1的离心率为()A.B.D.1683232
9.双曲线2x2－y2＝8的实轴长是()A．2B．22C．4D．42
x2y2
10.设双曲线1(a>0)的渐近线方程为3x±2y＝0，则a的值为()a9
A．4B．3C．2D．1
x2y2
11.已知点(2,3)在双曲线C：＝1(a＞0，b＞0)上，C的焦距为4，则它的离心率为________． ab
12.设双曲线的左准线与两条渐近线交于A，B两点，左焦点在以AB为直径的圆内，则该双曲线的离心率的取值范围为()
2A．(0，2)B．(12)C.，1D．2，＋∞)2
13.已知过抛物线y2＝2px(p>0)的焦点，斜率为22的直线交抛物线于A(x1，y1)，B(x2，y2)(x1 14.已知F是抛物线y2＝x的焦点，A，B是该抛物线上的两点，|AF|＋|BF|＝3，则线段AB的中点到y轴 357的距离为()A.B．1D.444 15.已知直线l过抛物线C的焦点，且与C的对称轴垂直，l与C交于A、B两点，|AB|＝12，P为C的准线上一点，则△ABP的面积为() A．18B．24C．36D．48 x2y2616.已知椭圆G1(a＞b＞0)的离心率为(2，0)，斜率为1的直线l与椭圆G交于ab3 A，B两点，以AB为底边作等腰三角形，顶点为P(－3,2)．求椭圆G的方程； x2y2 17.已知双曲线＝1(a>0，b>0)的左顶点与抛物线y2＝2px(p>0)的焦点的距离为4，且双曲线的一条渐ab 近线与抛物线的准线的交点坐标为(－2，－1)，则双曲线的焦距为()A．23B．25C．3D．5 x2yxy2 18.已知双曲线＝1(a＞0，b＞0)1有相同的焦点，且双曲线的离心率是椭圆离心率的ab169 两倍，则双曲线的方程为________________． x2y2319.设椭圆C＋＝1(a＞b＞0)过点(0,4)，离心率为 求C的方程； ab5 220.在平面直角坐标系xOy中，椭圆C的中心为原点，焦点F1，F2在x.过F1的直线l2 交C于A，B两点，且△ABF2的周长为16，那么C的方程为________________． 高三数学练习（函数与导数） 1.函数y1的定义域是________． 6－x－xx2，x>0，2.已知函数f(x)＝x＋1，x≤0.若f(a)＋f(1)＝0，则实数a的值等于() A．－3B．－1C．1D．3 3.下列函数中，既是偶函数又在(0，＋∞)单调递增的函数是() 32－|x| A．y＝xB．y＝|x|＋1C．y＝－x＋1D．y＝2 24.设f(x)是定义在R上的奇函数，当x≤0时，f(x)＝2x－x，则f(1)＝________.35.设函数f(x)＝xcosx＋1.若f(a)＝11，则f(－a)＝________.6.若函数f(x)a＝()2x＋1x－a123A.D．1 234 117.如果logx＜log＜0，那么()22 A．y＜x＜1B．x＜y＜1C．1＜x＜yD．1＜y＜x 28.在平面直角坐标系xOy中，过坐标原点的一条直线与函数f(x)＝的图象交于P、Q两点，则线段PQ长xx的最小值是________． x9.在下列区间中，函数f(x)＝e＋4x－3的零点所在的区间为()111113A.－0B.0，C.D.，444224 10.某车间分批生产某种产品，每批的生产准备费用为800元，若每批生产x件，则平均仓储时间为天，8且每件产品每天的仓储费用为1元，为使平均到每件产品的生产准备费用与仓储费用之和最小，每批应生产产品() A．60件B．80件C．100件D．120件 3211.曲线y＝－x＋3x在点(1,2)处的切线方程为() A．y＝3x－1B．y＝－3x＋5C．y＝3x＋5D．y＝2x 3212.若a>0，b>0，且函数f(x)＝4x－ax－2bx＋2在x＝1处有极值，则ab的最大值等于() A．2B．3C．6D．9 32213.设函数f(x)＝x＋2ax＋bx＋a，g(x)＝x－3x＋2，其中x∈R，a、b为常数，已知曲线y＝f(x)与y ＝g(x)在点(2,0)处有相同的切线l.求a、b的值，并写出切线l的方程。 ex 14.设f(x)＝，其中a为正实数． 1＋ax4(1)当a＝时，求f(x)的极值点； 3 (2)若f(x)为R上的单调函数，求a的取值范围． 15.设f(x)＝lnx，g(x)＝f(x)＋f′(x)．求g(x)的单调区间和最小值。 116.设f(x)＝2x3＋ax2＋bx＋1的导数为f′(x)，若函数y＝f′(x)的图象关于直线xf′(1)＝0.2 (1)求实数a，b的值；(2)求函数f(x)的极值． x 1.这个决定将被通知给所有直接有关的人。(inform)All those who are immediately involved will be informed of the decision.2.好几个同志来询问他的身体情况。他们决定彻底调查这件事。(inquire)Several comrades dropped in to inquire about his health.They determined to inquire thoroughly into the matter.3.儿童不喜欢为成人而写的书。(intend)Small children don't like books that are intended for adults.4.他由于无可奉告，拒绝了记者采访。(interview)As he had nothing to tell, he refused to give any interviews to the journalists.5.好几个村庄因大雪与外界隔绝。(isolate)Several villages have been isolated by the heavy snowfall.6.不要这么天真,竟相信他所说的一切。你能提供证据证明他没有犯这罪吗?(innocent)Don't be so innocent as to believe everything he says.Can you provide any evidence that he was innocent of the crime ? 7.你可以想像他们发现房间里空无一人时那吃惊的样子。你能想像出他成为一个名演员的情形吗?(imagine)You may imagine their astonishment at finding the room empty.Can you imagine him becoming famous as an actor? 8.大家都坚决要求不完工不休息。并且一定要你给我一个直截了当的回答。(insist) We all insist that we should not rest until we finish the work，and insist on your giving me a straightforward answer.9.从他这个夏天所记的日记可以看到，他对于公共事物的兴趣更加浓厚了。他发现我们城对体育的兴趣急剧下降。(interest)His diary of the summer records a growing interest in public affairs.He found there was a sharp decline in interest in sports in our town.10.你应当让你的学校加入到回收废弃物和购买再生产品的行列里来，以保护树木。（involve） You should involve your school in recycling rubbish and buying recycled products to save trees.11.只有浅薄的人才会以貌取人。(judge) It is only shallow people who judge a person by his appearance.12.你能证明你的行为是正当的吗？任何事情都不能成为你考试作弊的理由。(justify) Can you justify your action? Nothing can justify your cheating in an exam.13.学生、记者和好奇的人们都想挤进大厅。(jam) Students, reporters and the curious public all tried to jam into the hall.14.他们不敢对他开玩笑，怕他发火。(joke) They dare not play a joke on him in case he becomes / should become angry.15.你怎能为你粗鲁而愚蠢的行为辩护? (justify)How can you justify your rude and foolish behavior? 16.石头墙使这家农民的母牛不会加入到邻居的牛群中去。(keep)The stone walls keep the farmer's cows from joining his neighbor's cows.17.我不是很确定，但是就我所知，他所讲述的情况是真实的。（knowledge） I’m not sure, but to the best of my knowledge, his story is true.18.因为缺少流动资本,他们的企业才告失败。(It is…that/lack) It was lack of current capital that defeated their business.19.许多人在星期天早晨睡懒觉,而有些人不是这样。(late)Many sleep late on Sunday morning, but others don't.20.他们存了一些钱为女儿上大学用。(lay)They laid aside some money for their daughter’s college education.21.你必须懂得不能待人如奴仆。(learn)You must learn that you can’t treat people like servants.翻译（7） 22.别动那件装饰品，你会弄坏它的。(leave)Leave that ornament alone;you might break it.23.不管花多大力气他都要把儿子从前妻那儿要回来。(length)He will go to great/any/considerable lengths to get his son from his ex-wife.24.她看到他来，面露喜色。(light) Her face lit up(with joy)when she saw him coming.25.他们有可能在竞选中失败。(likely)They are likely to lose the election./It is likely that they will lose the election.26.他们一点也没有注意到我们在注意他们。(Little) Little did they know that we were watching them.27.不久,轰鸣声完全消失了,于是这只船开始慢悠悠地漂浮在水面上。(long)Before long, the noise dropped completely and the boat began to drift gently across the water.28.我们一搬进城里,就找到了商店和邮局的所在地。(locate)We located the shops and the post office as soon as we moved into the town.29.当你不懂一个单词时，可以查这本词典。(look up)When you do not understand a word, you can look it up in this dictionary.30.他在赛跑中一直保持领先到终点。(maintain) He took the lead and maintained it until the end of the race.31.雨停了，太阳从云层后面露出来了。（emerge） The rain stopped and the sun emerged from behind the clouds.32.这名政客在任何场合都称自己是大众最忠实的代表。（occasion） This politician claims on any occasion that he is the most faithful representative of the public.33.既然我们没办法改变比赛结果，进一步理论已没有什么意义了。（point） There’s no point in arguing further since we can’t change the result of the game.34.使我感到遗憾的是，很多老师还没看到使学生生活失衡的正是他们布置的不恰当的作业量。（强调句） To my regret, some teachers have failed to see that it is the inappropriate amount of homework assigned by them that causes students to live an unbalanced life.35.乔布斯的一生充满着曲折起伏，但他始终坚持创新，追求完美，这激励这许多心怀梦想的大学毕业生。（stick to） The life of Jobs was full of turns and twists, ups and downs(/ highs and lows);however, he always stuck to innovation and pursuit of perfection, which inspires many university graduates with big dreams at heart.36.许多员工被认为缺乏获得成功所必需的决心。（consider） Many employees are considered to lack determination necessary for achieving success.37.你越是个粗心人，你在测验中就会做得越糟糕。（the more） The more careless person you are, the worse you will do in your test.38.没等我把话讲完，他冲到街上，跳进一辆出租车，上班去了。（before） Before I finished my words, he dashed into the street, hopped into a taxi, and went to work.39.大多数人一生追求幸福，因此一个人成功不在于名声和财富，而在于每天的幸福。（spend） Most people spend their lifetime pursuing happiness, so a person’s success lies not in fame and wealth but in everyday happiness.40.学校应该培养孩子热爱音乐，音乐不仅能给他们带来快乐，而且能缓解他们的学习压力。（which） School should develop children’s love for music, which can not only bring pleasure to them but also relieve their study-related pressure.41.这三天的社会实践让我们受益匪浅。（benefit） We benefited a lot from the three-day social practice./ The three-day social practice benefited us a lot.42.令我们宽慰的是，政府正在采取措施改善我们的住房条件。(relief) To our relief, the government is taking measures/action to improve our housing conditions.翻译（7） 43.尽管困难重重，他从未放弃过成为一名优秀建筑师的愿望。（desire） Despite many difficulties / In spite of many difficulties, he never gave up his desire to become /be an excellent / outstanding / a distinguished architect.44.第一次看Gangnam Style的时候，其生动的节奏，富有创意的舞蹈，给我留下了深刻的印象。（The first time） The first time I watched Gangnam Style, I was deeply impressed by its lively rhythm and creative dance./ its lively rhythm and creative dance impressed me a lot / deeply / greatly.45.一些大城市的空气正日益恶化，这应该让我们警觉到：环保意识的缺乏已让市民付出了健康的代价。(alert) The air quality in some big cities is getting / becoming from bad to worse, which should alert us(to the fact)that the lack of environmental awareness has come at the expense of the health of the citizens./ the lack of environmental awareness(lacking environmental awareness)has cost the citizens their health./ …that the citizens have paid(high)price for the lack of environmental awareness.46.你很有可能在这次考试中取得好成绩。(likely) You are most likely to achieve good results in this examination./ It’s most likely that you will achieve good results in this examination.47.每天摄入太多的盐和糖会对人体的健康造成严重的损害。(take in) Taking in too much salt and sugar every day will / may cause serious damage to people’s health./ It will / may cause serious damage to people’s health if they take in too much salt and sugar every day.48.汽油价格的不断上涨对人民的生活和国家的经济发展产生了很大的影响。(affect) The constant / continuous rise in gasoline prices / That the prices of gasoline went up / rose constantly / continuously has greatly affected the people’s life and the development of the country’s economy.49.迄今虽说屡屡采取严控措施，但绝大多数人仍然觉得难以承担目前的高房价。(though) Those severe / strict control measures have been taken repeatedly / again and again by now / up to now, the vast majority of people / most people still feel / find it difficult / hard to afford the current high housing prices.50.他向经理保证,一经录用，他会竭尽所能为公司服务，绝不辜负公司的期望并为自己的理想打拼。(assure) He assured the manager that if / once(he was)appointed / accepted, he would do his best to work for / serve the company, live up to the expectation of the company and strive for his own ideal.51.如果遇到火警，千万要冷静，并跟随保安前往安全地带。（in case） Be sure to keep calm and follow the security guards to safety in case of fire.52.他从没有像现在这样努力，因为他找到了人生的目标。（Never） Never before has he been so hardworking as he is now, because he has found his life goal.53.事与愿违，他们失望地得知校队没有赢得比赛。（contrary） Contrary to their wishes, they were disappointed to know that the school team lost the game.54.当他意识到正是他不健康的饮食习惯导致自己生病的时候，他已经病入膏肓了。（it was… that…） When he realized that it was his unhealthy eating habits that led to his illness, he was already dying.55.美国政府由于缺乏资金而关门，因此所有的国家公园都不对公众开放。（lack） The US government is shut down for lack of funds, so none of the national parks are open to the public.翻译（7）3 高三A部数学中午作业7（第二阶段） 班级_________姓名_________ 11.已知集合Ay|yx,xR，By|ylog2(x1),xR，则AB0,2 2.一组数据中每个数据都减去80构成一组新数据，则这组新数据的平均数是1.2，方差是 4.4，则原来一组数的方差为.3.定义在R上的偶函数fx在(0,)上是增函数.若f(a)f(2)，则实数a的取值范围是.4.函数f(x)x223（常数Z）为偶函数，且在(0,)上是单调递减函数，则的值为_________.x2y2 1所对应5.从集合A2,1,1,2,3中任取两个元素m、n（mn），则方程mn的曲线表示焦点在y轴上的双曲线的概率是． 6.若直线axby1与圆x2y21相切，则实数ab的取值范围是7.已知P为抛物线y24x上一点，设P到准线的距离为d1，P到点A(1,4)的距离为d2，则d1d2的最小值为________ 8.三位同学合作学习，对问题“已知不等式xyax22y2对于x1,2,y2,3恒成立,求a的取值范围”提出了各自的解题思路.甲说：“可视x为变量，y为常量来分析”.乙说：“寻找x与y的关系，再作分析”.丙说：“把字母a单独放在一边，再作分析”.参考上述思路，或自已的其它解法，可求出实数a的取值范围是． 9.已知二次函数f(x)axx，若对任意x1、x2∈R，恒有2f(2x1x2)≤f(x1)+f(x2)成立，不等式f(x)<0的解集为A.2 (1)求集合A； (2)设集合B{x||x4|a}，若集合B是集合A的子集，求a的取值范围. 高三数学练习56 1.函数2.设那么的定义域是。、是两个集合，定义等于。，如果，3.已知4.若等差数列。且的前项和为，则，若 得值为。，设，则。，则5.有一边长为1的正方形。 6.计算下列式子：①，②，③，④7.函数8.若不等式9.直线经过点，结果为的是。的单调减区间是。 在，上恒成立，则实数的取值范围是。 两点，那么直线的倾斜角的取值范围是。 10.若实数满足，则的最小值是。 11.已知平面区域（1）当圆 被圆及其内部覆盖。的方程 交与不同的两点，且满足，求直线的面积最小时，求圆（2）若斜率为1的直线与（1）中的圆的方程 2009-2010学高三数学练习56 1.函数2.设那么的定义域是、是两个集合，定义等于 。，如果 。，3.已知4.若等差数列。且的前项和为，则，若，设 得值为，，②，则，则。 45。2。，③5.有一边长为1的正方形6.计算下列式子：①，④7.函数8.若不等式9.直线经过点，结果为的是 ①②③。 。 。的单调减区间是 在，上恒成立，则实数的取值范围是 两点，那么直线的倾斜角的取值范围是 10.若实数满足，则的最小值是 1。 11.已知平面区域（1）当圆 被圆及其内部覆盖。的方程 交与不同的两点，且满足，求直线的的面积最小时，求圆（2）若斜率为1的直线与（1）中的圆方程 解：（1）以（0，0），（0，2），（4，0）为顶点的的外接圆 ∴ （2）设直线的方程为∴∴，∵，直线的方程是 ∴圆心到直线的距离。第二篇：高三数学练习(8)
第三篇：冲刺必备高三英语翻译练习7
第四篇：高三数学中午作业7
第五篇：2009-2010学高三数学练习56
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