上海中学2017-2018学年第学期高一英语试题 Choice 21.The impact__________ high technology draws worldwide attention. A.on 22.________________,the more expansive gestures you should employ when you deliver a speech. A.The more audience there is B.The more the audience are C.As much audience as there is D.The larger the audience is 23.John is really an independent boy and he tries his best to settle every problem_______. A.of his own his own C,for his own his own 24.The queen,__________ an old woman, made a poisonous apple and came to the cottage to tempt Snow White to eat it. A,dressed in was dressing like like had clothes on as 25.It is reported that __________schools in the west of China are improving their study environment. A.a great many of large number of B..a great amount of large number of you really mean_________a basketball player? Do you know that training to be a basketball player means_____________at least eight hours every day? ,practicing be,practicing be,to practice ,to practice the workload of a _________job alongside a course of study can be difficult, so there is an increasing tendency for people to give up work and go back to school. 28. I couldn't resist having another piece of cake ____________I was supposed to be on a diet and lose weight. if 29. Your children will not follow your advice to ____________business management as his major if you ___________. up,force him to up,force him on,force him to on,force him 30.The students of class 8____________a farewell party for their retired class teacher
II.Grammar and Vocabulary Section B Recently,I flew to Las Vegas to attend a meeting.As we were about to arrive,the pilot announced with apology that there would be a slight delay before setting down.High desert winds had forced the airport to close all but one runway.He said that we would be circling the city for a few minutes waiting to land.We were also told to remain in our seats meanwhile with our seat belts(21)________(fasten) because there might be a few bumps.Well,that few minutes turned into about forty-five minutes, including a ride that would make a roller coaster(22)________(pale)by comparison. The movement was so sudden(23)________several passengers felt sick and had to use airsickness bags.(24)________you might guess,that’s not good thing to happen in a narrow space because it only serves to increase the discomfort of the situation. About twenty minutes into the adventure,the entire airplane became very quiet.There was now a sense of anxiety and fear that could be distinctly noticed.Every passenger simply held on for dear life… (25)________one.A baby was having a good time!With each bump of the aircraft,he(26)________let out a giggle of happiness.As I observed this,I realized that he didn’t know he was supposed to be afraid and worried about his safety.He(27)________thought about the past nor about the future.Those are (28)________we grown-ups have learned from experience.He was enjoying the ride because he (29)________(not teach)to fear it.(30)________(understand)this,I took a deep breath and sat back into my seat,pretending I was really on a roller coaster.I smiled for the rest of the flight.I even managed to giggle once or twice,which is much to the chagrin of the man sitting next to me holding the airsickness bag. C Section People become quite illogical when they try to decide what can be eaten and what cannot be eaten.If you lived in the Mediterranean,for instance,you would consider octopus a great__31__.You would not be able to understand why some people find it repulsive.On the other hand,your stomach would__32__ at the idea of frying potatoes in animal fat---the__33__accepted practice in many northern countries.The sad truth is that most of us have been brought up to eat certain foods and we__34__to them all our lives. No creature has received more praise and abuse than the common garden snail.Cooked in wine, snails are a great luxury in various parts of the world.There are countless people who,ever since their early years,have learned to__35__snails with food.My friend,Robert,lives in a country where snails are despised.As his flat is in a large town,he has no garden of his own.For years he has been asking me to collect snails from my garden and take them to him.The idea never appealed to me very much,but one day,after a heavy__36__,I happened to be walking in my garden when I noticed a huge number of snails taking a stroll on some of my__37__plants.Acting on a sudden impulse,I collected several dozen,put them in a paper bag,and took them to Robert.Robert was delighted to see me and__38__pleased with my little gift.I left the bag in the hall and Robert and I went into the living room where we talked for a couple of hours.I had forgotten all about the snails when Robert suddenly said that I must stay to dinner. 第1页/共8页
上海中学高一周练数学试卷10 2019.12 一. 填空题 1. 函数2lg(23)y x x =--的定义域为 ，单调递减区间为 2. 函数2413x x y -+-=的单调递增区间为 ，值域为 3. 若函数1()21 x f x a =+ -是奇函数，则a 的值为 4. 若lg lg 2x y +=，则1100x y +的最小值为 5. 若log 2a x =，log 3b x =，log 4c x =，则log abc x 的值为 6. 已知幂函数2()(57)m f x m m x =-+是R 上的增函数，则m 的值为 7. 若关于x 的方程3 23()25x a a +=-有负根，则实数a 的取值范围为 8. 已知偶函数()f x 是以2为周期的周期函数，且当(0,1)x ∈时，()21x f x =-，则 2(log 10)f 的值为 9. 已知13()1 x f x x -=+，函数()y g x =的图像与1(1)y f x -=+的图像关于直线y x =对称， 则(3)g 的值为 10. 已知0x >，定义()f x 表示不小于x 的最小整数，若1(3())(6)31x f x f x f +=+ +，则 正数x 的取值范围为 11. 对于函数1()42x x f x m +=-?，若存在实数0x ，使得00()()f x f x -=-成立，则实数m 的取值范围为 12. 设函数()f x =a ∈R ，e 为自然对数的底数），若曲线221x y +=上存在00(,)x y 使得00(())f f y y =，则a 的取值范围为 二. 选择题 13. 函数|24|()x f x a -=（0a >且1a ≠），满足1(1)9 f =，则()f x 的单调递减区间为（ ） A. (,2]-∞ B. [2,)+∞ C. [2,)-+∞ D. (,2]-∞- 14. 奇函数()y f x =的反函数为函数1()y f x -=，函数1()y f x -=在[0,)+∞上是减函数， 则函数()y f x =-在(,0)-∞上为（ ） A. 增函数 B. 减函数 C. 非单调函数 D. 不能确定
2018年浦东新区高三二模语文试卷 （时间150分钟，满分150分）2018.4 一积累运用（10分） 1.按要求填空（5分） （1），幽咽泉流冰下难。（白居易《》） （2）香远益清，亭亭净植，。（周敦颐《爱莲说》） （3）苏轼在《江城子》中有“相顾无言，惟有泪千行”的诗句，在柳永的《雨霖铃》中意境与之相似的一句是“，”。 2.按要求选择。（5分） （1）今年南汇桃花节，小刘去踏青觅胜，欲留影配诗，下列诗句和赏花场景不匹配的一项是（）。（2分） A.满树和娇烂漫红，万枝丹彩灼春融。 B.桃花一簇开无主，可爱深红爱浅红。 C.花开不并百花丛，独立疏篱趣无穷。 D.一树繁英夺眼红，开时先合占东风。 填入下面语段空白处的句子，最恰当的一项是（）。（3分） 文明是史，未进入文明之前是史前时期，未进入文明的文化是史前文化，未有字，焉有史？文明的标志当然是文字，，中国人大可底气十足地说，中华文明至少肇始于三千年前，其独一无二的持久性正有汉字之功。 A．而文明预示着文字有走向伟大的资本与长寿的禀赋 B．而文字预示着文明有走向伟大的资本与长寿的禀赋 C．而文明预示着文字有走向长寿与伟大的资本和禀赋 D．而文字预示着文明有长寿的资本与走向伟大的禀赋 二阅读（70分） （一）阅读下文，完成3-7题。（16分） 导演的限制与自由 ①导演的地位和作用问题，是近代戏剧史上一个争论不休的话题。主流派认为，剧本是舞台艺术的基础，导演则是剧本的诠释者和体现者。导演创作，可以发展或充实刷本，但却不能违背原作的立意与风格。从俄国的斯坦尼斯拉夫斯基到美国的贝拉斯科、中国的焦菊隐
等，都持这种观点。 ②也有人认为，导演是现代戏剧的核心，他可以随意篡改或解构剧本，甚至干脆不要据本，正如他有权设计布景，有权摆布演员，有权使用音响灯光一样。一些先锋派导演或理论家多持这种观点。如果把这种“导演中心”论限制在演出的范围内，还是有道理的，作为某种创新实验，更是无可厚非，但要推行于全部戏刷活动，恐怕就行不通了。 ③导演的职责是排戏。作为整个创作群体的一员，导演的基本职责是把剧本搬到舞台上去，使文学形象转化为可视可听可感的舞台形象。而剧本，特别是那些久经考验的经典剧目，往往包含着丰厚的文化内容，所以一个导演必须具备广博的社会、历史、人文知识，方能深入发握原作的思想内涵，充分展现其独特的艺术风貌。其次，导演是演出的组织者。为了把各种艺术成分组织起来，融为一体，创造出和谐、统一的舞台形象，导演必须谙悉舞台艺术的方方面面，具有较强的组织领导能力。第三，导演还承担着培养演员的责任。演员是舞台艺术的中心，当然也是导演的主要表现手段。选好演员，往往戏就成功了一半。好的导演，在排戏当中，能以各种方式启发演员，激起演员的创作欲望，从而大大提高演员的艺术表现能力。现代剧坛上的许多优秀演员，都是在一些著名导流的培养下，迅速成长起来的。 ④导演艺术是以刷本为基出，以完整和谐的舞台艺术为表现形式的二度创作。导演创作不仅受到剧本的制约，而且必须在舞台艺术和技术条件所能达到的范围内进行。可以说，导演是戏剧艺术里限制最多，也最富挑战性的工作，是名副其实的戴着脚镣跳舞。所以，《艺术形态学》的作者莫·卡冈说，“导演是最少独立性的艺术，因为它是其他所有艺术的上层建筑，而它控制其他这些艺术，使它们互相‘迁就”，最终创造出以它们的综合为基础的新的艺术。”
上海中学高一周练数学卷 2017.3.2 一. 填空题 1. 若角α的终边过点(12,35)-，则s i n α= ；cos α= ； tan α= ； cot α= ；sec α= ；csc α= ； 2. 已知20tan 21 α=，且α是第三象限角，则sin α= ；cos α= ； cot α= ；sec α= ；csc α= ； 3. 角度制与弧度制互化：大小为105?的角的弧度数是 ；大小为3?的角的弧度数是 ；弧度数为20 π的角，其大小用角度制表示是 ； 4. 在一个半径为2的圆中，两条半径将圆周分成一段劣弧和一段优弧，其中劣弧长为2，则 劣弧所在的扇形与优弧所在的扇形的面积之比为 5. 若sin |cos ||sin |cos αααα=，则α的取值范围是 6. 已知02απ≤<，(cos 4,sin 4)--是角α终边上的一点，则α = 7. 已知集合{|,}3m A m Z παα==∈，集合{|,}4 n B n Z πββ==∈，则A B = 8. 已知sin cos αα-=，(0,)απ∈，则tan α= 9. 在下列四个命题中，正确命题的序号是 ① 若α角与β角的终边关于原点对称，则sin sin 0αβ+=，cos cos 0αβ+=； ② 若α角与β角的终边关于x 轴对称，则sin sin 0αβ+=，cos cos 0αβ+=； ③ 若α角与β角的终边关于y 轴对称，则sin sin 0αβ+=，cos cos 0αβ+=； ④ 若cos cos αβ=且sin sin αβ=，则α角与β角的终边相同； 10. 化简：sin(31)tan(747)cos(684)tan(27)cos(36)sin(329) αααααα??????++-=++- 11. 已知AB 是平面Γ内一条长度为2的线段，集合{|M M ψ=∈Γ且至少存在一个半径 为2的圆，使得M 、A 、B 中的每一点，都是或者在此圆内，或者在此圆周上}，则ψ中 的点形成的平面区域的面积为 二. 选择题 1. 记cos(100)k ?=，那么tan 80?=（ ） A. B. C. D.
2018年上海大同中学高三三模 第Ⅰ卷（共60分） 一、填空题（每题5分，满分60分，将答案填在答题纸上） 1.复数 122i i -+的虚部为 ． 2. 二项式4 x ? - ? 的展开式中常数项为 ． 3.甲、乙两个袋子中均装有红、白两种颜色的小球，这些小球除颜色外完全相同，其中甲袋装有4个红球、2个白球，乙袋装有1个红球、5个白球.现分别从甲、乙两袋中各随机抽取1个球，则取出的两球颜色不同的概率为 ．（用分数作答） 4.过点()6,3M -且和双曲线2222x y -=有相同的渐近线的双曲线方程为 ． 5.已知实数x 、y 满足1210x x y x y m ≥? ? -+≤??+≤? ，若此不等式组所表示的平面区域形状为三角形，则m 的取值范围为 ． 6.设圆锥底面圆周上两点A 、B 间的距离为2，圆锥顶点到直线AB AB 和圆 锥的轴的距离为1，则该圆锥的体积为 ． 7.等比数列 {}n a 的前n 项和为n S ，若对于任意的正整数k ，均有()lim k n k n a S S →∞ =-成立，则公比q = ． 8.三棱锥D ABC -及其三视图中的主视图和左视图如图所示，则棱BD 的长为 ． 9.将函数()sin 2y x ?=+的图象向左平移 4π个单位后得到得到函数图象关于点4,03π?? ??? 成中心对称，那么?的最小值为 ．
10.已知不等式20ln 0m m n n ???? -≥ ? ????? 对任意正整数n 恒成立，则实数m 取值范围是 ． 11.若[]0,απ∈，,44ππβ?? ∈-?? ?? ，R λ∈，满足：3 cos 202πααλ??---= ?? ? ， 3 4sin cos 0βββλ ++=，则cos 2αβ?? + ??? 的值为 ． 12.如图直角梯形ABCD 中，2AB BC ==，1CD =，//AB CD ，AD AB ⊥.点P 是直角梯形区域内任意一点，0PA PB ≤.点P 所在区域的面积是 ． 二、选择题：本大题共4个小题,每小题5分,共20分.在每小题给出的四个选项中，只有一项是符合题目要求的. 13.已知,a b R ∈，下列四个条件中，使“a b >”成立的必要而不充分的条件是（ ） A ．1a b >- B ．1a b >+ C. a b > D ．22a b > 14. 设等差数列 {}n a 的前n 项和为n S ，且满足190S >，200S <，则 11S a 、22S a 、3 3 S a 、…、19 19 S a 中最大项为（ ） A ． 88S a B ．99S a C. 1010 S a D ．1111S a 15.平面α外有两条直线m 和n ，如果m 和n 在平面α内的摄影分别是1m 和1n ，给出下列四个命题：①1 1m n m n ⊥?⊥；②11m n m n ⊥?⊥；③1m 与1n 相交?m 与n 相交或重 合；④1m 与1n 平行?m 与n 平行或重合；其中不正确的命题个数是（ ） A ．1 B ．2 C. 3 D ．4
上海中学高一数学周练卷 一. 填空题 1. 已知实数0a <与G ，G ，依次成等 比数列，则G = 2. 项数为k 的数列{}n a 的各项不是0就是1，而且此数列既不是只有0，也不是只有1，所 有的0相连且所有的1相连，这样的数列有 个 3. 数列{}n a 满足11a =，且11n n a a n +-=+（*n N ∈），则数列1{}n a 的前n 项和为 4. 已知数列{}n a 对任意的*n N ∈都有21n n n a a a ++=-，而11a =，23a =，则数列{}n a 的 前n 项和n S 能取得的最大值为 5. 将一条长度为1的线段三等分，抹去中间的一段，以此作为第一次操作，将第一次操作后留下的两条线段的每一条都三等分，并各自将中间的一段抹去，以此作为第二次操作，此后的每次操作都按上述方式进行，如果这样的操作进行了八次，则剩余的所有线段的长度和 为 6. 制作如图所示的一个“3步”的楼梯用了18根牙签， 如果要做成一个“10步”楼梯，还需要增加的牙签的 根数是 7. 算式9291 2(2(22(2(2(2(2(21)1)1)1)1)1)1)1)1????????+++++++++个个的值是 8. 若三角形的三边长是公差为1的等差数列，最大角是最小角的两倍，则最小角的余弦值为 9. 已知数列{}n a 和{}n b 的通项公式分别为2n a n =和2n n b =，数列{}n a 的前m 项构成集合A ，数列{}n b 的前k 项构成集合B ，且m k a b =，任取x A B ∈，则用k 表示x A B ∈的 概率为 10. 已知实数x 使得1sin a x =，2cos a x =，3tan a x =的数列{}n a 为等比数列，若 1cos n a x =+，则n = 11. 如图，互不相同的点12,,,,n A A A ??????和12,,,,n B B B ?????? 分别在角O 的两条边上，所有n n A B 相互平行，且所有梯形 11n n n n A B B A ++的面积均相等，设n n OA a =，若11a =， 22a =，则数列{}n a 的通项公式是n a = 12. 在自然数数列中，保留前4个数，划去1个数，保留5个数，划去2个数，保留6个数，
Section B Directions：Read the following three passages. Each passage is followed by several questions or unfinished statements. For each of them there are four choices marked A, B, C and D. Choose the one that fits best according to the information given in the passage you have just read. (B) With the coming of big data age, data science is supposed to be starved for, of which the adaption can point a profound change in corporate competitiveness. Companies, both born-in the digital era and traditional world are showing off their skills in data science. Therefore, it seems to have been creating a great demand for the experts of this type. Mr Carlos Guestrin, machine learning professor from University of Washington argues that all software applications will need inbuilt intelligence within five years, making data scientists—people trained to analyze large bodies of information — key workers in this emerging “cognitive” technology economy. There are already critical applicat ions that depend on machine learning, a subfield of data science, led by recommendation programs, fraud detection system, forecasting tools and applications for predicting customer behavior. Many companies that are born digital—particularly internet companies that have a great number of real-time customer interactions to handle—are all-in when it comes to data science. Pinterest, for instance, maintains more than 100 machine learning models that could be applied to different classes of problems, and it constantly fields request from managers eager to use this resource to deal with their business problem. The most important factor weighing on many traditional companies will be the high cost of launching a serious machine-learning operation. Netflix is estimated to spend ＄150m a year on a single application and the total bills is probably four times that once all its uses of the technology are taken into account. Another problem for many non-technology companies is talent.Of the computer science experts who use Kaggle, only about 1000 have deep learning skills, compared to 100,000 who can apply other machine learning techniques, says Mr Goldbloom. He adds that even some big companies of this type are often reluctant to expend their pay scales to hire the top talent in this field. A third barrier to adapting to the coming era of “smart” applications, however, is likely to be
2018-2019年行知中学高三下3月月考 一、填空题 1. 若复数z 满足2136z i -=+（i 为虚数单位），则z = 2. 函数()(1,1)x f x a b a b =+><-不经过第 象限 3. 已知""x k >是3 " 1"x <的充分不必要条件，则实数k 的取值范围是 4. 在报名的2名男教师和4名女教师中，选取3人参加义务献血，要求男、女教师都有，则不同的选取方式的种数为 （结果用数值表示）。 5. 设函数)0)(6cos()(>-=ωπ ωx x f ， 若)4 ()(π f x f ≤对任意的实数x 都成立，则ω的最小值为____ 6.如果已知极限1)1sin (lim =∞ →n n n ，那么极限____1 21 sin 5lim 2=--∞ →n n n n 7.已知P 为曲线? ??-=+=θθ θ2sin 21cos sin y x (θ是参数，πθ20<≤)上一点，则点P 到点)1,0(Q 距离的最小值是_______ 8、已知函数1)1()(2 -+++=b x b ax x f ，若对任意的R b ∈，函数x x f x F -=)()(总有两个不同的零点，则实数a 的取值范围是____ 9、若正三棱锥的主视图与俯视图如右图所示，则它的左视图的面积为______ 10. 若实数y x ,满足约束条件?? ? ??≥≤+≤k y y x x y 4 且y x z +=2的最小值是9-， 则实数k = 11. 在平面直角坐标系中，已知P B A ),1,0(),0,1(-是曲线21x y -=上的一个动点，BP BA ?的取值范围是____
上海中学高一周练数学卷 2016.11.03 一. 填空题 1. 求出下列不等式的解集： （1）||0a > （2）2103624x x ≤-+< （3）32x x <- （4）25||60x x -+> （5x < （6）22110x x x x -- +≤ （756x <- 2. 已知集合8{|1}2 A x x =>+，{|||} B x x a b =-≥，若A B R =，A B =?，则 a = ，b = 3. 若函数12y x b = +的图像与以(1,1)A 、(2,3)B 为端点的线段相交，则常数b 的取值范围 是 4.在maths 先生的数学班的所有学生中，对于问题“你喜欢数学吗？”在学年开始时，有 50%回答“是”，有50%回答“不”，学年结束时，有70%回答“是”，有30%回答“不”， 在全部学生中，有x %的学生在学年开始和结束时给出了不同的回答，则x 的最大值和最小 值的差是 5. 对任意正数x 和y ，不等式1 ()()9a x y x y ++≥恒成立，则常数a 的取值范围是 6. 令,,,a b c d 是集合{3,2,2,4}--中的不同的元素，则22()()a b c d +++的最大值与最小 值之差为 7. 关于x 的方程2 (2)210x m x m +-+-=有一个根属于(0,1)，则m 取值范围是 8. 若||2m ≤时不等式2210mx x m -+-<恒成立，则x 的取值范围是 9. 若关于x 的不等式组22202(25)50x x x a x a ?--≥??+++≤??的解集中有且仅有两个整数，则a 的取值 范围是 10. 函数4 2321 x y x =+的最小值是
2018年上海市中学高三英语下学期期末试题 一、选择题 1. —Will you be able to see Lucy’s parents when the first class is over? —I’m afraid not. I a lecture on Chinese literature in the hall. A. will attend B. am going to attend C. will be attending D. am attending 参考答案： C 2. I regret________ you that your application has been rejected. -Now I''m starting to regret________ the previous offer. A, to inform; to not take B. informing; not to take C. to inform; not taking D. informing; not taking 参考答案： C 34. Then _______that the war was over. A. the news came B. did come the news C. did the news came D. came the news 参考答案： D 略 4. Lucy has already tried her best. Please don’t be too ______ about her job. A. curious B. special C. particular D. responsible 参考答案： C 5. ___ is left over may be put into the refrigerator，____ it will keep for two or three weeks．（）
2018年上海中学高三英语模拟练习（一） Grammarand Vocabulary Section A Directions:After reading the passage below, fill in the blanks to make the passagecoherent and grammatically correct. For the blanks with a given word, fill ineach blank with the proper form of the given word; for the other blanks, useone word that best fits each blank. Today theStatue of Liberty is a beloved landmark. It ___1___(tower) above of theharbor of New York and is lovingly cared for by the National Park Service. Manythousands of visitors who visit Liberty Island each year might never suspectthat getting the statue ___2___(build) was a long slow struggle. More than acentury ago, it ___3___(be) the celebration of freedom and the commemorationof the friendship between America and France that inspired sculptor AugusteBartholdi and finally he went forward with designing the potential statue andpromoting the idea of building it. However, money was so big a problem ___4___was haunting the two governments from the beginning to the end. Donations forthe building of the statue first began coming in throughout France in 1875.Numerous people gave donations. A copper company donated the copper sheets thatwould be used to fashion the skin of the statue. Various donations werehelpful, ___5___ the cost of the statue kept riding. ___6___(face) with ashortfall of money, the French-American Union held a lottery. Merchants inParis donated prizes, and tickets were sold. The lottery was a success, butmore money was still needed. The sculptor Bartholdi eventually sold miniatureversions of the statue, ___7___ the name of the buyer engraved on them.Finally, in July 1880 the French-American Union announced that enough money hadbeen raised to complete the building of the statue. While theFrench had announced that the funds for the statues were in place in 1880, bylate 1882 the American donations, which would be needed to build the pedestal,were sadly lagging. The sculptor Bartholdi had travelled to America in 1871 topromote the idea of the statue. Despite Bartholdi’s efforts, t he idea of thestatue was difficult ___8___(sell). some newspapers, most notably the New YorkTimes, often criticized the statue as folly, and vehementlyopposed ___9___(spend) any money on it. The newspaper publisher JosephPulitzer, who had purchased a New Y ork City daily, The World, in the early1880s, took us the cause of the statue’s pedestal. He mounted an energetic funddrive, promising to print the name of each donor, ___10___ small the donation,Pulitzer’s audacious plan worked, and millions of people around the countrybegan donating whatever they could. In August1885, that final $100,000 for the statue;s pedestal had been raised.Construction work on the stone structure continued, and the next year theStatue of Liberty, which had arrived from France packed in crated, was erectedon top.
2017学年第二学期3月考试试卷 2018.3 高三数学 一、填空题 1. 已知集合U R =，集合{} |2,x M y y x R ==∈，集合 (){} |lg 3N x y x ==-，则 ()U C M N ?= ____________ 2. 已知幂函数 () f x 过点 (，则()f x 的反函数为____________ 3. 直线23x y +=的倾斜角是____________（用反三角表示） 4. 三阶行列式 4235 4 112 k ---第2行第1列元素的代数余子式为10-，则k =____________ 5. 将一个半圆面围成圆锥的侧面，则其任意两条母线间夹角的最大值为____________ 6. 某个不透明的袋中装有除颜色外其它特征完全相同的7个乒乓球（袋中仅有白色和黄色两种颜色的 球），若从袋中随机摸一个乒乓球，得到的球是白色乒乓球的概率是2 7，则从袋中一次随机摸两个球， 得到一个白色乒乓球和一个黄色乒乓球的概率是____________ 7. 已知 {}n a 是首项为a ，公差为1的等差数列， 1n n n a b a += ，若对任意的*n N ∈，都有8n b b ≥成立，则 实数a 的取值范围是____________ 8. 若双曲线()222 210,b 0x y a a b -=>>上存在四个不同的点A 、B 、C 、D ，使四边形ABCD 为菱形，则b a 的取值范围为____________ 9. 动点(),P a b 在不等式组20 00x y x y y +-≤?? -≥??≥?表示的平面区域内部及其边界上运动，则 3 1a b w a +-=-的取值范围是____________ 10. 在面积为2的ABC 中，E 、F 分别是AB 、AC 的中点，点P 在直线EF 上，则2 PC PB BC ?+的最小值是____________ 11. 函数()()2sin 206f x x πωω? ?=+> ???图像上有两点(),A s t ，()()2,22B s t t π+-<<，若对任意 s R ∈，线段AB 与函数图像都有五个不同交点，若()f x 在[]12,x x 和[]34,x x 上单调递增，在 []23,x x 上单调递减，且 ()4321322 3x x x x x x -=-= -，则1x 的所有可能值是____________