一、选择题

　1.已知函数f(x)=2x3-x2+m的图象上A点处的切线与直线x-y+3=0的夹角为45°，则A点的横坐标为()

　A.0　B.1　C.0或　 D.1或

　答案：C　命题立意：本题考查导数的应用，难度中等.

　解题思路：直线x-y+3=0的倾斜角为45°，

　切线的倾斜角为0°或90°，由f′(x)=6x2-x=0可得x=0或x=，故选C.

　易错点拨：常见函数的切线的斜率都是存在的，所以倾斜角不会是90°.

　2.设函数f(x)=则满足f(x)≤2的x的取值范围是()

　A.[-1,2] B.[0,2]

　C.[1，+∞) D.[0，+∞)

　答案：D　命题立意：本题考查分段函数的相关知识，求解时可分为x≤1和x>1两种情况进行求解，再对所求结果求并集即得最终结果.

　解题思路：若x≤1，则21-x≤2，解得0≤x≤1;若x>1，则1-log2 x≤2，解得x>1，综上可知，x≥0.故选D.

　3.函数y=x-2sin x，x的大致图象是()

　答案：D　解析思路：因为函数为奇函数，所以图象关于原点对称，排除A，B.函数的导数为f′(x)=1-2cos x，由f′(x)=1-2cos x=0，得cos x=，所以x=.当00，函数单调递增，所以当x=时，函数取得极小值.故选D.

　4.已知函数f(x)满足：当x≥4时，f(x)=2x;当x<4时，f(x)=f(x+1)，则f=()

　A.B.C.12　D.24

　答案：D　命题立意：本题考查指数式的运算，难度中等.

　解题思路：利用指数式的运算法则求解.因为2+log =2+log2 3(3,4)，所以f=f=f(3+log2 3)=23+log2 3=8×3=24.

　5.已知函数f(x)=若关于x的方程f2(x)-af(x)=0恰好有5个不同的实数解，则a的取值范围是()

　A.(0,1) B.(0,2) C.(1,2) D.(0,3)

　答案：

　A　解题思路：设t=f(x)，则方程为t2-at=0，解得t=0或t=a，

　即f(x)=0或f(x)=a.

　如图，作出函数的图象，

　由函数图象可知，f(x)=0的解有两个，

　故要使方程f2(x)-af(x)=0恰有5个不同的解，则方程f(x)=a的解必有三个，此时0

　6.若R上的奇函数y=f(x)的图象关于直线x=1对称，且当0

　A.4 020 B.4 022 C.4 024 D.4 026

　答案：B　命题立意：本题考查函数性质的应用及数形结合思想，考查推理与转化能力，难度中等.

　解题思路：由于函数图象关于直线x=1对称，故有f(-x)=f(2+x)，又函数为奇函数，故-f(x)=f(2+x)，从而得-f(x+2)=f(x+4)=f(x)，即函数以4为周期，据题意其在一个周期内的图象如图所示.

　又函数为定义在R上的奇函数，故f(0)=0，因此f(x)=+f(0)=，因此在区间(2 010，2 012)内的函数图象可由区间(-2,0)内的图象向右平移2 012个单位得到，此时两根关于直线x=2 011对称，故x1+x2=4 022.

　7.已知函数满足f(x)=2f，当x[1,3]时，f(x)=ln x，若在区间内，函数g(x)=f(x)-ax有三个不同零点，则实数a的取值范围是()

　A. B.

　C. D.

　答案：A　思路点拨：当x∈时，则1<≤3，

　f(x)=2f=2ln=-2ln x.

　f(x)=

　g(x)=f(x)-ax在区间内有三个不同零点，即函数y=与y=a的图象在上有三个不同的交点.

　当x∈时，y=-，

　y′=<0，

　y=-在上递减，

　y∈(0,6ln 3).

　当x[1,3]时，y=，

　y′=，

　y=在[1，e]上递增，在[e,3]上递减.

　结合图象，所以y=与y=a的图象有三个交点时，a的取值范围为.

　8.若函数f(x)=loga有最小值，则实数a的取值范围是()

　A.(0,1) B.(0,1)(1，)

　C.(1，) D.[，+∞)

　答案：C　解题思路：设t=x2-ax+，由二次函数的性质可知，t有最小值t=-a×+=-，根据题意，f(x)有最小值，故必有解得1

　9.已知函数f(x)=若函数g(x)=f(x)-m有三个不同的零点，则实数m的取值范围为()

　A. B.

　C. D.

　答案：

　C　命题立意：本题考查函数与方程以及数形结合思想的应用，难度中等.

　解题思路：由g(x)=f(x)-m=0得f(x)=m，作出函数y=f(x)的图象，当x>0时，f(x)=x2-x=2-≥-，所以要使函数g(x)=f(x)-m有三个不同的零点，只需直线y=m与函数y=f(x)的图象有三个交点即可，如图.只需-

　10.在实数集R中定义一种运算“*”，对任意给定的a，bR，a*b为确定的实数，且具有性质：

　(1)对任意a，bR，a*b=b*a;

　(2)对任意aR，a*0=a;

　(3)对任意a，bR，(a*b)*c=c*(ab)+(a*c)+(c*b)-2c.

　关于函数f(x)=(3x)*的性质，有如下说法：函数f(x)的最小值为3;函数f(x)为奇函数;函数f(x)的单调递增区间为，.其中所有正确说法的个数为()

　A.0 B.1 C.2 D.3

　答案：B　解题思路：f(x)=f(x)*0=*0=0]3x×+[(3x)*0]+)-2×0=3x×+3x+=3x++1.

　当x=-1时，f(x)0，得x>或x<-，因此函数f(x)的单调递增区间为，，即正确.

　二、填空题

　11.已知f(x)=若f[f(0)]=4a，则实数a=________.

　答案：2　命题立意：本题考查了分段函数及复合函数的相关知识，对复合函数求解时，要从内到外逐步运算求解.

　解题思路：因为f(0)=2，f(2)=4+2a，所以4+2a=4a，解得a=2.

　12.设f(x)是定义在R上的奇函数，在(-∞，0)上有2xf′(2x)+f(2x)<0且f(-2)=0，则不等式xf(2x)<0的解集为________.

　答案：(-1,0)(0,1)　命题立意：本题考查函数的奇偶性与单调性的应用，难度中等.

　解题思路：[xf(2x)]′=2xf′(2x)+f(2x)<0，故函数F(x)=xf(2x)在区间(-∞，0)上为减函数，又由f(x)为奇函数可得F(x)=xf(2x)为偶函数，且F(-1)=F(1)=0，故xf(2x)<0F(x)<0，当x0时，不等式解集为(0,1)，故原不等式解集为(-1,0)(0,1).

　13.函数f(x)=|x-1|+2cos πx(-2≤x≤4)的所有零点之和为________.

　答案：6　命题立意：本题考查数形结合及函数与方程思想的应用，充分利用已知函数的对称性是解答本题的关键，难度中等.

　解题思路：由于函数f(x)=|x-1|+2cos πx的零点等价于函数g(x)=-|x-1|，h(x)=2cos πx的图象在区间[-2,4]内交点的横坐标.由于两函数图象均关于直线x=1对称，且函数h(x)=2cos πx的周期为2，结合图象可知两函数图象在一个周期内有2个交点且关于直线x=1对称，故其在三个周期[-2,4]内所有零点之和为3×2=6.

　14.已知函数f(x)=ln ，若f(a)+f(b)=0，且0

　答案：　命题立意：本题主要考查对数函数的运算，函数的值域，考查运算求解能力，难度中等.

　解题思路：由题意可知，ln +ln =0，

　即ln=0，从而×=1，

　化简得a+b=1，

　故ab=a(1-a)=-a2+a=-2+，

　又0

　故0<-2+<.

　B组

　一、选择题

　1.已知偶函数f(x)在区间[0，+∞)单调递减，则满足不等式f(2x-1)>f成立的x取值范围是()

　A. B.

　C. D.

　答案：B　解析思路：因为偶函数的图象关于y轴对称，在区间[0，+∞)单调递减，所以f(x)在(-∞，0]上单调递增，若f(2x-1)>f，则-<2x-1<，

2017高考英语阅读理解试题（含答案）

　在阅读理解题上得分的多少很大程度上决定着高考英语的总成绩。而且,阅读量有逐渐扩大且阅读速度进一步提高的趋势。为了帮助大家训练英语阅读能力，我整理了一些高考英语阅读理解题，欢迎阅读!

　第二部分：阅读理解(共两节，满分35分)

　第一节(共10小题;每小题2.5分，满分25分)

　阅读下面短文，从每题所给的`四个选项A、B、C和D中，选出最佳选项，并在答题卡上将该项涂黑。

　Mr. Peter Johnson, aged twenty-three, battled for half an hour to escape from his trapped car yesterday when it landed upside down in three feet of water. Mr. Johnson took the only escape route --- through the boot(行李箱).

　Mr. Johnson's car had finished up in a ditch (沟渠) at Romney Marsin, Kent after skidding on ice and hitting a bank. "Fortunately, the water began to come in only slowly," Mr. Johnson said. "I couldn't force the doors because they were jammed against the walls of the ditch and dared not open the windows because I knew water would come flooding in."

　Mr. Johnson, a sweet salesman of Sitting Home, Kent, first tried to attract the attention of other motorists by sounding the horn and hammering on the roof and boot. Then he began his struggle to escape.

　Later he said, "It was really a half penny that saved my life. It was the only coin I had in my pocket and I used it to unscrew the back seat to get into the boot. I hammered desperately with a hammer trying to make someone hear, but no help came."

　It took ten minutes to unscrew the seat, and a further five minutes to clear the sweet samples from the boot. Then Mr. Johnson found a wrench and began to work on the boot lock. Fifteen minutes passed by. "It was the only chance I had. Finally it gave, but as soon as I moved the boot lid, the water and mud poured in. I forced the lid down into the mud and scrambled clear as the car filled up."

　His hands and arms cut and bruised (擦伤), Mr. Johnson got to Beckett Farm nearby, where he was looked after by the farmer's wife, Mrs. Lucy Bates. Trembling in a blanket, he said, "That thirty minutes seemed like hours." Only the tips of the car wheels were visible, police said last night. The vehicle had sunk into two feet of mud at the bottom of the ditch.

　21. What is the best title for this newspaper article?

　A. The Story of Mr. Johnson, a Sweet Salesman

　B. Car Boot Can Serve as the Best Escape Route

　C. Driver Escapes through Car Boot

　D. The Driver Survived a Terrible Car Accident

　22. The underlined sentence in Paragraph 5 ?Finally it gave? means that _______.

　A. luckily the door was torn away in the end

　B. at last the wrench went broken

　C. the lock came open after all his efforts

　D. the chance was lost at the last minute

　23. It can be inferred from the passage that _______.

　A. the ditch was along a quiet country road

　B. the accident happened on a clear warm day

　C. the police helped Mr. Johnson get out of the ditch

　D. Mr. Johnson had a tender wife and was well attended

　B

　It?s easy to think of the selfless reasons to listen. People want you to listen to them. By listening, you can help someone with a problem, or help them come up with new ideas. But listening also has selfish benefits that make it worth the investment.

　The biggest selfish benefit is that you learn more with your mouth closed. You?ll learn more about other people, and often, about yourself, if you stop talking. Those ideas are useful if you want to improve yourself.

　Listening also helps you think. When you?re truly listening, not just waiting for your turn to speak, you can chew over your ideas more. You can mull on points of the conversation longer. In the end, you?ll appear a lot wiser if you explain a fully-digested point of view, than if you just speak out the first response that comes to mind. Building the listening habit also makes better friends than trying to be an impressive conversationalist. People like the guy who listens more than the guy with the best jokes. Be interested, rather than interesting.

　If the person you?re talking with doesn?t feel too chatty, bait (启发) them with a comment. Throw something at them which will make it easy for them to talk. A better strategy to listen is to master the short anecdote. This is a 2-3 sentence comment on something that the other person has said. If they are telling a long explanation of their work as an accountant, you could comment on someone you know that does accounting or something you know about accounting.

　24. The following are talked about EXCEPT ______.

　A. the ways of being a good listener

　B. the benefits of building the listening habit

　C. the ways of being a good speaker

　D. the strategies to inspire others to speak

　25. According to the passage, which kind of person is most probably popular with people?

　A. The one who is good at telling jokes.

　B. The one who has no speaking ability.

　C. The one who is good at public speaking.

　D. The one who is good at listening to others.

　26. The underlined phrase ?mull on? in the third paragraph means ______.

　A. think over B. agree with C. disagree with D. put forward

　C

　New York?s long awaited bike share program, which arranged the distribution of 10,000 bicycles along some of the city?s busiest street, will be sponsored by Citi financial group, Mayor Michael Bloomberg announced on Monday.

　Citi Bike will be the largest public bike share system in the US, with bikes placed in 600 stations in Manhattan and Brooklyn. The program will be operated by Alta bicycle share, which runs similar projects in Washington D.C. and Boston.

　?The idea behind bike share is simple: give people one more way to get around the town,? Bloomberg said in a restaurant. ?The new Citi Bikes will be an affordable transportation network that will help New Yorkers get where they?re going faster. When the walk seems a little far, New Yorkers can choose to skip the hike, and take a bike.?

　The program was announced in September 2011, and the department of transport has spent the last eight months planning locations for the stations. Full details on the locations have not been released yet, but they will include Times Square, Penn Station and close to Central Park.

　Annual membership of the program will cost $95, which entitles (授权) users to free journeys up to 45 minutes. For those unwilling to commit to a year?s cycling, seven-day subscriptions are available for $25 or 24-hour access for $9.95, with the first 30 minutes of any journey free. The official website for the program ? citibikenyc.com ? says the pricing strategy is likely to ensure that riders keep their trips short. Although short journeys are free, anyone wanting to take a bike for the day will face very high charges. People who do not sign up to an annual membership ? tourists, for example, would pay $49 for a three-hour ride, plus the $9.95 24-hour access fee, making a total of $59.

　The department of transport said the bikes and stations, which will begin to be fixed from ?late July?, will be the same as in London, Montreal and Minneapolis; however, in one sense Bloomberg will be hoping the New York program differs from that of London. While the London program has ended up losing money since it launched in 2010, the mayor said New York City would ?split system profits with the operator?, creating a potential new income program.

　27. According to the passage, the main purpose of setting up New York?s bike share system is to ________.

　A. make profits from the bike users

　B. discourage people from going hiking

　C. reduce people?s expenses on transportation

　D. help people travel around the city more easily

　28. According to the passage, which of the following locations is NOT available for the Citi Bike service?

　A. Central Park B. Time Square

　C. Brooklyn Botanic Garden D. Penn Station

　29. What can be learned from Paragraph 5?

　A. It is wise of people to use the bikes for short trips.

　B. Anyone can use the bike free of charge for 45 minutes.

　C. Most people are unwilling to pay for the annual membership.

　D. Tourists are charged more for the use of bikes than local people.

　30. In what sense does Bloomberg hope the New York program differs from that of London?

　A. Better accepted. B. Better operated.

　C. More profitable. D. More widespread.

　第二节共5个小题;每小题2分，满分10分

　根据短文内容，从短文后的选项中选出能填入空白处的最佳选项。选项中有两项为多余选项。

　Life can be so busy these days. It?s time that you all should admit that you need help in organizing your life. Here are some tips that will help you.

　Write everything down and don?t rely on your memory. 31 If you want to remember things, put them in writing, or in a digital notebook. Keeping your to-do lists and other information written somewhere allows you to look back at them anytime, even when you?ve hit your head and forgotten your own name.

　32 Try this experiment: before buying one thing, throw out something old or something you don?t use any more. Or, if you?re a really terrible pack rat, just throw out one old thing a day until you can?t find any more items to throw.

　Recycle and donate. Is your closet full of unopened bags and clothes that still have their tags on them? Is your bookshelf full of unread books? Chances are that if you haven?t read, worn, or used them, then you're probably not going to use them at all. 33

　Create daily, weekly and monthly timetables for cleaning. Organize your cleaning timetables. 34 Distribute tasks evenly, for example, dish washing could be done daily while vacuuming could be done weekly and cleaning windows done monthly.

　Whichever of these tasks you decide to do, remember that you can?t completely organize your life in one go. 35 Just decide to organize now, and then take baby steps. Soon enough, you will be making a habit of it.

参考答案

　27-30 DCAC 31-35 GBDEC

;