[配套K12]“超级全能生”全国卷26省2018届高三英语3月联考试题乙卷

2018“超级全能生”3月联考Word版含答案。

2018届高考全国卷26省3月联考乙卷数学(理)试题超级全能生”是2018年高考全国卷26省3月联考乙卷(A)数学(理科)的一道题目。

本试题共12小题，每小题5分，共60分。

考生需在答题卡上完成全部答案，答在本试题上无效。

选择题中，每小题给出四个选项，只有一项符合题目要求。

第一题给出两个集合A和B，要求求出A并B的结果。

通过题干中给出的条件，可以得到A的元素为a和0，B的元素为-4和log2(a+3)。

由于A并B的结果为2，因此可以列出方程a+3=2，解得a=-1.因此，A的元素为-1和0，B的元素为-4和log2(2)。

因此，A并B的结果为{-1,0,-4}，答案为A。

第二题要求求解一个纯虚数z，已知z(1-i)=a+i(a∈R)。

可以将z表示为x+yi的形式，其中x=0，y为所求。

将z代入方程中，可以得到-y+xi=a+ai。

由于z是纯虚数，因此实部为0，因此可以得到-y=a。

将y代入方程中，可以得到x=a。

因此，z 的形式为a-ai，答案为D。

第三题给出两个向量a和b，已知它们平行，求出a的第一个分量m。

可以列出方程m/b1=1，解得m=b1.因此，m=11，答案为A。

第四题给出一个函数f(x)，要求画出其大致图像。

可以将f(x)表示为2x/x2+x，通过对x趋于正无穷和负无穷时的极限值，可以画出f(x)的大致图像，如下图所示。

第五题给出一个等比数列和的关系式，要求求出S2017.通过将等式两边展开，可以得到a2S4=a4S2，即a2(a1+ar)(a1+a2+。

+a4)=a4(a1+ar)(a1+a2+。

+a2)，其中r为等比数列的公比。

化简后可以得到a2=a4/r2，代入S2017的表达式中，可以得到S2017=a1(1-r2017)/(1-r)。

由于未给出等比数列的首项和公比，因此无法求出S2017，答案为D。

第六题给出六个人进行羽毛球双打练，求出不同的分组方式数量。

14．某些建筑材料可产生放射性气体氡。

氡经过人的呼吸道后能沉积在肺部，并放出大量的射线，危害人体健康。

若一个氡核()发生一次α衰变生成新核钋()，并放出一个能量为E0=0.09MeV的γ光子。

则下列说法中正确的是（）A．生成的钋核与原来的氡核相比，中子数减少了4B．氡的半衰期为3.8天，若取4个氡原子核，经7.6天后只剩下一个氡原子核C．钋核的比结合能小于氡核的比结合能D．氡核α衰变中产生的γ光子是从钋核中放出的15．如图甲所示(俯视图)，光滑绝缘的水平面上有一个矩形金属线圈，O点是线圈左边的中点。

沿水平方向向右建立一与左边垂直的直线坐标系Ox。

竖直方向存在一足够大的磁场，其磁感应强度B沿Ox轴的变化如图乙中两曲线所示，且两曲线具有对称性。

现给线圈一个初速度使线圈沿Ox方向运动，则以下说法中正确的是（）A．线圈中的感应电流方向一定发生变化B．线圈受到安培力的方向一定不变C．线圈受到安培力一直减小D．通过线圈横截面的电荷量一直增大16．如图所示，直线a和一段抛物线b分别表示在同一平直公路上行驶的a车和b车运动的x-t图象。

已知在t1=3s时两车相遇，直线a和抛物线b刚好相切，t2=4s时对应抛物线的最高点。

则下列说法中正确的是（）A．两车相遇时b车的速度大小为2.5 m/sB．b车的加速度大小为2 m/s。

C．b车的初速度大小为9 m/sD．t0=0时两车的距离为10 m17．如图所示，半径为R的竖直半球形碗固定于水平面上，碗口水平且AB为直径，O点为碗的球心。

将一弹性小球(可视为质点)从AO连线上的某点c点沿CO方向以某初速度水平抛出，经历时间t=(重力加速度为g)小球与碗内壁第一次碰撞后恰好返回C点；假设小球与碗内壁碰撞前后瞬间小球的切向速度不变，法向速度等大反向。

不计空气阻力，则C、O两点间的距离为（）A．B．C．D．18．如图所示，用一段细线和一根轻弹簧分别系住A、B两个小球。

B球的质量为m，A球的质量为M=2m。

“超级全能生”全国卷26省联考2018届高考英语3月联考试题乙卷注意事项：1．本试题共12页，满分150分，考试时间120分钟。

2．答题前，考生务必将自己的姓名、准考证号等填写在答题卡的相应位置。

3．全部答案在答题卡上完成，答在本试题上无效。

4．回答选择题时，选出每小题答案后，用2B铅笔把答题卡上对应题目的答案标号涂黑。

如需改动，用橡皮擦干净后，再选涂其他答案标号。

5．考试结束后，将本试题和答题卡一并交回。

第一部分听力(共两节，满分30分)做题时，先将答案标在试卷上。

录音内容结束后，你将有两分钟的时间将试卷上的答案转涂到答题卡上。

第一节 (共5小题；每小题1.5分，满分7.5分)听下面5段对话。

每段对话后有一个小题，从题中所给的A、B、C三个选项中选出最佳选项。

听完每段对话后，你都有10秒钟的时间来回答有关小题和阅读下一小题。

每段对话仅读一遍。

例：How much is the shirt?A．￡19.15． B．￡9.18． C．￡9.15．答案是C。

1．What does the woman think of the book? A．Frightening．B．Disappointing．C．Interesting．2．How will Jennifer spend most of her weekend?A．Playing on the beach．B．Taking the final exam．C．Going over her textbook．3．What are the speakers going to do?A．Go for a walk．B．Buy presents．C．Make an overcoat．4．Where are the speakers?A．In an airport．B．In a hotel．C．In a schoo1．5．What are the speakers doing?A．Having a dance together．B．Buying food and drinks．C．Preparing for a dancing party．第二节 (共15小题；每小题1.5分，满分22.5分)听下面5段对话或独白。

“超级全能生”2018届高三全国卷26省3月联考乙卷英语试题学校:___________姓名：___________班级：___________考号：___________一、阅读选择When Kyle Jauregui recently went to pick up his younger sister’s birthday cake, he was met with a bittersweet surprise.On arriving at the baker’s, he learnt that Madison s cake had already been paid for —by a complete stranger. It was a touching act of kindness, but, as it turned out, not a random one. The cake had been paid for by a lady known simply as “McKenna’s mum” -as part of a gesture she had been making for a while, and for a heartbreaking reason.While Madison is set to celebrate turning 11, McKenna Jodell Fox would have turned ten on the same day. McKenna was only nine months old in 2008, when she was crushed by a falling TV set as her family prepared to move house.It’s a painful occasion for her mum, but one she has transformed into something positive. The cake she bought was accompanied by a card which read as follows:“Dear Birthday Girl Family,In honour of my daughter’s 10th birthday I hav e chosen your birthday cake to pay for.Each year I do this random act of kindness because I am unable to buy my daughter a cake of her own.Today is her big double digit birthday. Please enjoy your day.”By Kyle’s own admission, the whole family was left speechless. “We just want to say thank you to McKenna’s mom,” he wrote, “and wish McKenna a happy birthday. There’s still good in this world.”1．Who died according to the passage?A．Kyle Jauregui. B．Madison.C．McKenna Jodell Fox. D．McKenna’s mum.2．What do we know about the birthday cake?A．It tasted bittersweet.B．It was paid by McKenna’s mum.C．It made the family heartbroken.D．It was free of charge.3．Which of the following can best describe McKenna’s mum?A．Warm-hearted and cheerful. B．Strong-willed but depressed. C．Broken-hearted but generous. D．Kind-hearted and positive.4．Which of the following would be the best title for the text?A．A Painful Accident B．A Family Left SpeechlessC．One Birthday Cake for Two Girls D．A World Full of SurprisesUh-oh-you’re stuck with a long mid-journey stay or an insane flight delay. What to do? Spending hours in an airport can make any person who travels by plane a little annoyed. But before you splurge (挥霍) at the bar or duty-free shops, you might want to ask about your airport’s perks (特权).There are a lot of things you can do in the airport without breaking the bank.To reduce your annoyance and save your wallet, VIV A Lifestyle and Travel has compiled a list of all of the best airport perks. Make sure you’re not making these mistakes on your next flight, too.Some airports, such as Portland International Airport in Oregon, San Francisco International Airport in California, or Minneapolis-St. Paul International Airport, offer free movies to waiting passengers. Others have free museums and live events, including San Francisco, Miami, Albany, Minneapolis, Portland, and St. Louis.Looking to relax after a stressful trip? Many airports offer therapy dogs; you can also visit the pig at San Francisco International Airport, the cat at Denver International Airport, and the miniature horses at Cincinnati’s airport. If you’re flying through San Francisco, Chicago, Miami, or Dallas Fort Worth, borrow a complimentary yoga mat and zen out.You can even travel in style with exclusive (专属的) tour guides, who provide free city tours from certain airports like Singapore, Seoul, Tokyo, and Istanbul. Or take advantage of the free personal shopper during your stay at London’s Heathrow Airport. Check out even more ways to make the most of your long mid-journey stay.The perks don’t stop once you board the plane, either. Some major airlines also offer major flight perks for their passengers. Go and figure them out!5．What part does the first paragraph play in the passage?A．A lead-in. B．A comment.C．A summary. D．A background.6．What does the underlined part in Para. 2 mean?A．Knocking down the bank. B．Borrowing money from the bank. C．Depositing your money. D．Using up your money.7．What can you do in Miami Airport for free?A．Visit the pig.B．Watch movies.C．Enjoy live events.D．Travel with an exclusive tour guide.8．Who are the text most likely intended for?A．Visitors to the USA．B．Airport personnel.C．Airport shopkeepers. D．Airline passengers.Smokers may ignore the health warnings by telling themselves their habit makes them look cool. After all, sex symbols James Dean and Humphrey Bogart were rarely seen without a cigarette. However, the latest evidence shows that smoking actually makes you less attractive to the opposite sex. Wrinkles from smoking a cigarette may be to blame for people judging non-smokers to be better-looking.This was the result of a study asking more than 500 people to pick the most attractive of twins where one smoked and the other did not. Men found female non-smokers the most attractive in two-thirds of cases, while women chose non-smoking men as the most attractive 68 percent of the time.Professor Ian Penton-V oak, a co-author of the study from Bristol University, said, “People assume that smoking causes damage to the skin and appearance, but this is a really neat way of looking at it because these twins are genetically identical, so we can control for genetic factors involved in ageing. Appearance seems to be important to people, especially young people, so we could use these sorts of findings as a basis for future interventions to stop people smoking.”Smoking can speed up the normal ageing, even after only a decade. Nicotine causes narrowing of the blood vessels in the outermost layers of the skin, while the chemicals in tobacco smoke damage collagen and elastin, fibres which give the skin its elasticity (弹性).The wrinkles this causes are added to by facial expressions made when smoking such as pursing the lips when inhaling (吸气) or squinting to keep smoke out of your eyes.9．Why does the author mention James Dean and Humphrey Bogart?A．To persuade smokers to give up smoking.B．To compare them with non-smokers.C．To tell us many people are influenced by them.D．To show understanding and comfort smokers.10．What can we learn from Para. 2 and Para. 3?A．500 twins were surveyed for the study.B．Probably young people pay more attention to their appearance.C．Female non-smokers are more attractive than male ones.D．Professor Ian Penton-V oak is the leading author of the study.11．What is Professor Ian Penton-V oak’s altitude to smoking?A．Disapproving. B．Favorable.C．Unconcerned. D．Cautious.12．What can be inferred from the text?A．Smokers look cooler than non-smokers.B．Smoking may speed up skin’s ageing.C．Smokers look younger than non-smokers.D．Smoking should be banned right away.二、七选五When I was young and foolish I used to think that potential friends were people you liked. You had shared interests. 13．You were interested in what the other had said, or you pretended to be, at least sometimes.14．I realize that friends are people who turn up on time. If you want to be my friend, all it would take is for you to arrive where we agreed and when we agreed. No last-minute texts. No frantic (疯狂的) phone calls complaining that you’re stuck on the bus and the traffic is terrible.15．So it cannot be your everlasting excuse. You can take it into consideration, and set off ten minutes early in case of a total disaster.16．So I have every sympathy with the minister of the Holy Cross Church in Bearsted, Kent, who has started fining brides £ 100 if they turn up late. He says he’s going to add it to the wedding fee and return it afterwards with the marriage certificate if the couple manage to be punctual.17．So cheer for all the brides and grooms who make it to the church on time. I’d happily count any of them as friends.A．And now I know how innocent I was.B．I think what he said is totally nonsense.C．You made each other laugh and enjoyed yourselves.D．Thus, you arrive cm time or, oven better, five minutes early.E.Crowded traffic is a matter happening every clay and everywhere.F.You understood each other and gave the other in need timely help.G.His point is reasonable, though I’m not sure if the way he makes it is wise.三、完形填空Christmas was coming and I decided to buy something for my dad. While chatting with a cashier as I was purchasing a little 18 , some lights, and decorations, he 19 what I would Be doing with this little tree. I explained that it was not for me, but for my dad, 20 he no longer lived at home.The cashier just stopped and looked at me 21 the most kindest look and 22 with me that his grandfather couldn’t live in their hom e either. He said his grandfather was 23 now in a facility for those with Alzheimer’s (阿尔茨海默症). So I shared with him that my dad was on the same 24 . We talked about the difficult 25 that came with this cruel disease, not only for those with the illness, but for their 26 too. He had finished ringing up my 27 , but then he said. “Let me see what I can do for you.” He 28 some coupons (购物券) and started scanning them until my cost was 29 by over 60%.I gratefully thanked him and told him how much I 30 his kindness and also 31 with him. We wished each other Merry Christmas and the 32 possible hopes for our loved ones.On the way home I kept thinking of the kindness he had 33 me with all the items I had purchased. But I was most 34 for the opportunity for us to connect about an 35 we are both going through. I 36 Dad’s tree as soon as I got home. So grateful. So37 .18．A．medicine B．tree C．water D．gift19．A．asked B．taught C．laughed D．told20．A．so B．if C．when D．as21．A．with B．in C．on D．by22．A．charged B．spoke C．talked D．shared23．A．treating B．demanding C．living D．making24．A．direction B．facility C．place D．journey25．A．pains B．feelings C．challenges D．results26．A．doctors B．families C．friends D．bodies27．A．telephone B．purchases C．orders D．money28．A．took out B．picked up C．made up D．worked out 29．A．increased B．came C．reduced D．changed30．A．owed B．regretted C．thanked D．appreciated31．A．meeting B．talking C．faced D．went32．A．best B．most C．least D．latest33．A．got B．brought C．offered D．took34．A．grateful B．happy C．interested D．careful35．A．event B．accident C．argument D．experience36．A．cut B．planted C．decorated D．threw37．A．considerate B．blessed C．serious D．excited四、用单词的适当形式完成短文Should naps (小睡) actually 38．(lake) during the day? Well, we certainly know from 39．(evident) in our own sleep center and that of many other scientists that naps can give you benefits for both your brain 40．your body. Bui naps can actually be 41．double-edged sword because while we’re awake during the day, we’re building up sleepiness or sleep pressure. So that when you try to fall asleep at night, you’ll fall asleep quickly.42．is a basic guarantee for a good sleep. And when we sleep, we actually release that sleepiness, almost like a valve (阀门), on a pressure cooker, so that we wake up the next morning feeling 43．(refresh).So if you take a nap during the day, especially if you take it too late in the afternoon, you will actually release some of that sleepiness and it will make it much 44．(hard) to fall asleep and stay asleep 45．(sound) throughout the night. So the advice is if you don’t struggle 46．your sleep and you can nap regularly, then naps are just fine.But if you do have trouble 47．(fall) asleep at night, then you should avoid naps and try and build up that healthy sleepiness in the evening.五、短文改错48．假定英语课上老师要求同桌之间交换修改作文，请你修改你同桌写的以下作文，文中共有10处语言错误，每句中最多有两处，每处错误仅涉及一个单词的增加、删除或修改。

“超级全能生”全国卷26省2018届高三英语3月联考试题乙卷第一部分听力（共两节，满分30分）做题时，先将答案标在试卷上。

录音内容结束后，你将有两分钟的时间将试卷上的答案转涂到答题卡上。

第一节（共5小题；每小题1.S分，满分7.5分）听下面5段对话。

每段对话后有一个小题,从题中所给的A、B、C三个选项中选出最佳选项。

听完每段对话后，你都有10秒钟的时间来回答有关小题和阅读下一小题。

每段对话仅读一遍。

例：How much is the shirt?A. £19.15.B. £9.18.C. £9.15.答案是C。

1. What does the woman think of the book?A. Frightening.B. Disappointing.C. Interesting.2. How will Jennifer spend most of her weekend?A. Playing on the beach.B. Taking the final exam.C. Going over her textbook.3. What are the speakers going to do?A. Go for a walk.B. Buy presents.C. Make an overcoat.4. Where are the speakers?A. In an airport.B. In a hotel.C. In a school.5. What are the speakers doing?A. Having a dance together.B. Buying food and drinks.C. Preparing for a dancing party.第二节（共15小题；每小题1.5分，满分22.5分）听下面5段对话或独白。

每段对话或独白后有几个小题，从题中所给的A、B、C三个选项中选出最佳选项。

“超级全能生”全国卷26省联考2018届高考理综3月联考试题乙卷注意事项：1．本试题共16页，满分300分，考试时间150分钟。

2．答题前，考生务必将自己的姓名、准考证号填写在相应的位置。

3．全部答案在答题卡上完成，答在本试题上无效。

4．回答选择题时，选出每小题答案后，用2B铅笔把答题卡上对应题目的答案标号涂黑。

如需改动，用橡皮擦干净后，再选涂其他答案标号。

5．考试结束后，将本试题和答题卡一并交回。

可能用到的相对原子质量：H-1 C-12 N-14 O-16 Na-23 S-32 C1-35.5 Fe-56Sr-88 Pb-207一、选择题：本题共13小题，每小题6分，共78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。

1．下列关于生物大分子结构和功能的叙述，正确的是A．氨基酸种类和数量相同的蛋白质是同一种蛋白质B．DNA和RNA的主要合成场所分别是细胞核和细胞质C．细胞核和细胞质中的遗传物质分别是DNA和RNAD．遗传物质相同的细胞可能具有不同的结构和功能2．下列关于科学研究和实验方法的叙述，不正确的是A．萨顿用类比推理的方法证明了基因位于染色体上B．用同位素标记法证明光合作用释放的氧全部来自水C．摩尔根等人通过假说—演绎法证明了基因在染色体上D．利用不同色素在层析液中的溶解度不同来分离色素3．以人为本，关注健康是人类永恒的主题。

下列叙述正确的是A．细胞癌变是抑癌基因突变为原癌基因的结果B．次级精母细胞分裂异常可能会产生XY型精细胞C．硅尘可破坏溶酶体膜导致肺功能受损而引起硅肺D．抗维生素D佝偻病患者中纯合子与杂合子发病程度相同4．下列说法正确的是A．脑干与机体生物节律的控制有关B．激素分泌直接受中枢神经系统的调节C．人体细胞通过内环境与外界进行物质交换D．在特异性免疫中发挥作用的细胞主要是吞噬细胞5．下列有关植物激素的说法，正确的是A．植物生命活动调节方式只有激素调节B．高浓度生长素可促进乙烯合成抑制植物生长C．对绿篱定期修剪的目的是保持其顶端优势D．NAA、2，4-D、IPA等均是常用的植物激素6．有关种群、群落、生态系统的叙述，不正确的是A．以植食性动物为食的动物被称作次级消费者B．种群在空间上随机分布的原因之一是资源充足C．环境条件稳定时，种群的基因频率也可发生改变D．群落演替的过程中，越高等的生物适应能力越强7．化学与生活密切相关，下列说法正确的是A．纤维素在人体内可水解成葡萄糖，是人类重要的营养物质之一B．尿毒症患者做“血透”是利用胶体的性质C．“84”消毒液与双氧水杀死流感病毒的原理不同D．铝比铁活泼，铁制品比铝制品更耐用8．《太平惠民和剂局方》中对精制蜡过程有如下记载：“……先将蜡六两熔化作汁，以重绵滤去滓，以好酒一升，于银石器内煮蜡熔，数沸倾出，候酒冷，其蜡自浮，取蜡称用。

“超级全能生”2018年高考全国卷26省3月联考乙卷(A)数学(理科)注意事项：l ．本试题共8页，满分150分，考试时间120分钟．2．答题前，考生务必将自己的姓名、准考证号等填写在答题卡的相应位置．3．全部答案在答题卡上完成，答在本试题上无效．4．回答选择题时，选出每小题答案后，用2B 铅笔把答题卡上对应题目的答案标号涂黑．如需改动，用橡皮擦干净后，再选涂其他答案标号．5．考试结束后，将本试题和答题卡一并交回．一、选择题：本题共12小题。

每小题5分，共60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．1．设集合{}(){}{}22,04log 3,0=A a B a A B A B ==-+⋂=⋃，集合，若，则 A ．{}104--，，B ．{}204--，，C ．{}04-，D ．{}104-，，2．若复数z 是纯虚数，且()1z i a i -=+ (a R ∈，i 是虚数单位)，则2018z= A ．20182 B. 20182- C ．1 D ．1-3．已知向量()11,1,,//a m b a b m m ⎛⎫==⎪⎝⎭，且，则实数m = A ．0或1 B ．0 C ．1 D ．1-4．函数()22ln x x f x x x+=+的图象大致是5．已知等比数列{}n a 的前n 项和为n S ，若201724421S a S a S S =，则等于 A ．2 017 B ．2017- C ．1 D ．1- 6．A ，B ，C ，D ，E ，F 六人进行羽毛球双打练习，两人一组，不同的分组方式共有A ．15种B ．30种C ．90种D ．360种7．设函数()()1cos 2f x x ωϕ=+对任意的x ∈R ，都有()5f x f x π⎛⎫-= ⎪⎝⎭，若函数()()3sin 2g x x ωϕ=+-，则10g π⎛⎫ ⎪⎝⎭的值是 A ．1 B ．2- C ．53-或 D ．5-或18．双曲线()222210,0x y C a b a b -=>>：过点(3,P ，其右焦点为()2,0F ，则双曲线的渐近线方程为A ．12-B ．12C ．1-D ．19．已知变量,x y 满足约束条件10,20,20,x y x y x y -+≥⎧⎪-≤⎨⎪+-≤⎩若目标函数z ax y =+取最小值时的最优解有无数个，则a =A ．12-B ．12C ．1-D ．110．已知函数()()()cos 042f x x f x ππωω⎛⎫=>⎪⎝⎭，若在区间，上存在零点，则ω的取值范围为A ．()1,3B ．()()1,23,⋃+∞C ．()2,3D ．()()0,13,⋃+∞ 11.某几何体的三视图如图所示，则该几何体的表面积为A. 6++B. 10++C. 10++D. 192+12．()00,P x y 是抛物线()2:20C y px p =>上一定点，A ，B 是C 上异于P 的两点，直线PA ，PB 的斜率PA pB k k ，满足PA PB k k λ+=（λ为常数，0λ≠），且直线AB 的斜率存在，则直线AB 过定点A ．00022,x px y λλ⎛⎫-- ⎪⎝⎭ B ．0002,x x y λ⎛⎫-- ⎪⎝⎭C ．00022,y p x y λλ⎛⎫-- ⎪⎝⎭ D ．0002,y x y λ⎛⎫-- ⎪⎝⎭二、填空题：本题共4小题，每小题5分，共20分.13．执行如图所示的程序框图，则输出的S 的值为__________．14.甲、乙、丙、丁四位同学被问到是否去过A ，B ，C 三个教师办公室时，甲说：我去过的教师办公室比乙多，但没去过B 办公室；乙说：我没去过C 办公室；丙说：我和甲、乙去过同一个教师办公室；丁说：我去过C 办公室，我还和乙去过同一个办公室．由此可判断乙去过的教师办公室为________．15．已知正实数,a b 满足21a b +=，则221a b a b b+++的最小值是_________． 16．已知数列{}()12125,2,233n n n n a a a a a a n --===+≥中，，则下列结论正确的是__________(写出所有正确结论编号).①若设()()112=13=3n n n n a a a a n λλμλμ---⎧+=+≥⎨⎩，，则；②()()()121173231312n n n n n n a a n a a n ----+=≥-=-≥ 且； ③()111731314n n n a --⎡⎤=+-⎣⎦ ； ④数列77,312123n n n n a a ⎧⎫⎧⎫--⎨⎬⎨⎬⎩⎭⎩⎭ 都是等比数列.三、解答题：共70分．解答应写出文字说明、证明过程或演算步骤．第17～21题为必考题，每个试题考生都必须作答．第22~23题为选考题，考生根据要求作答．(一)必考题：共60分．17．(12分)在△ABC 中，,,a b c 分别是角A ，B ，C 所对的边．且2,sin a A ==(I)求角A 的值；(Ⅱ)若角A 为钝角，求12b c +的取值范围．部分初中生因痴迷某款手机游戏而影响了学习．为了调查每天学生玩该款游戏的时间，某初中随机调查了本校男生、女生各50名，其中每天玩该游戏超过3小时的用户称为“游戏迷”，否则称其为“非游戏迷”，调查结果如下：(I)根据以上数据，能否有99％的把握认为“游戏迷”与“性别”有关?(Ⅱ)现从调查的男生中按分层抽样的方法选出5人，求所抽取的5人中“游戏迷”和“非游戏迷”的人数；(III)从(Ⅱ)中抽取的5人中再随机抽取3人，调查该游戏对其学习的影响，记这3人中“游戏迷”的人数为X ，试求X 的分布列与数学期望．参考公式：()()()()()22n ad bc K n a b c d a b c d a c b d -==+++++++，其中．参考数据：如图，已知四棱柱//,,PDCE AGFB AD BC AB AP CD PD -⊥⊥中，．(I)证明：平面PAB ⊥平面PAD ；(II)若四边形APDG 为正方形，PA=AB ，求二面角A —PB —C 的余弦值．20．(12分)设点()00,M x y 是椭圆22:12516x y C +=上任意一点，从原点O 向圆()()2200400:41M x x y y -+-=作两条切线，分别与椭圆C 交于点P ，Q ，若直线OP ，OQ 的斜率存在，分别记为12k k ，．(I)证明：12k k 为定值1625-； (Ⅱ)求OPQ ∆的面积OPQ S ∆．已知函数()11ln 12f x x x ⎛⎫=+- ⎪⎝⎭． (I)讨论函数()f x 的单调性；(Ⅱ)当1x >时，证明：12ln 101x x x -<-<-．(二)选考题：共10分．请考生在第22，23题中任选一题作答，如果多做。

“超级全能生”年高考全国卷26省3月联考乙卷(A)英语第一部分听力(共两节，满分30分)做题时，先将答案标在试卷上。

录音内容结束后，你将有两分钟的时间将试卷上的答案转涂到答题卡上。

第一节(共5小题；每小题1.5分，满分7.5分)听下面5段对话。

每段对话后有一个小题，从题中所给的A、B、C三个选项中选出最佳选项。

听完每段对话后，你都有10秒钟的时间来回答有关小题和阅读下一小题。

每段对话仅读一遍。

例：How much is the shirt?A．￡19.15．B．￡9.18．C．￡9.15．答案是C。

1．What does the woman think of the book? A．Frightening．B．Disappointing．C．Interesting．2．How will Jennifer spend most of her weekend?A．Playing on the beach．B．Taking the final exam．C．Going over her textbook．3．What are the speakers going to do?A．Go for a walk．B．Buy presents．C．Make an overcoat．4．Where are the speakers?A．In an airport．B．In a hotel．C．In a schoo1．5．What are the speakers doing?A．Having a dance together．B．Buying food and drinks．C．Preparing for a dancing party．第二节(共15小题；每小题1.5分，满分22.5分)听下面5段对话或独白。

每段对话或独白后有几个小题，从题中所给的A、B、C三个选项中选出最佳选项。

听每段对话或独白前，你将有时间阅读各个小题，每小题5秒钟；听完后，各小题将给出5秒钟的作答时间。