2017国家公务员考试招录市(地)级职位定向招录比例增至15%

绝密★启用前2017年普通高等学校招生全国统一考试理科数学本试卷5页，23小题，满分150分。

考试用时120分钟。

注意事项：1．答卷前，考生务必将自己的姓名、考生号、考场号和座位号填写在答题卡上。

用2B 铅笔将试卷类型（B ）填涂在答题卡相应位置上。

将条形码横贴在答题卡右上角“条形码粘贴处”。

2．作答选择题时，选出每小题答案后，用2B 铅笔在答题卡上对应题目选项的答案信息点涂黑；如需要改动，用橡皮擦干净后，再选涂其他答案。

答案不能答在试卷上。

3．非选择题必须用黑色字迹的钢笔或签字笔作答，答案必须写在答题卡各题目指定区域内相应位置上；如需改动，先划掉原来的答案，然后再写上新答案；不准使用铅笔和涂改液。

不按以上要求作答无效。

4．考生必须保证答题卡的整洁。

考试结束后，将试卷和答题卡一并交回。

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．已知集合A ={x |x <1}，B ={x |31x <}，则 A ．{|0}AB x x =< B ．A B =RC ．{|1}A B x x =>D ．A B =∅2．如图，正方形ABCD 内的图形来自中国古代的太极图.正方形内切圆中的黑色部分和白色部分关于正方形的中心成中心对称.在正方形内随机取一点，则此点取自黑色部分的概率是A ．14B ．π8C ．12D ．π43．设有下面四个命题1p ：若复数z 满足1z∈R ，则z ∈R ；2p ：若复数z 满足2z ∈R ，则z ∈R ； 3p ：若复数12,z z 满足12z z ∈R ，则12z z =；4p ：若复数z ∈R ，则z ∈R .其中的真命题为 A ．13,p pB ．14,p pC ．23,p pD ．24,p p4．记n S 为等差数列{}n a 的前n 项和．若4524a a +=，648S =，则{}n a 的公差为A ．1B ．2C ．4D ．85．函数()f x 在(,)-∞+∞单调递减，且为奇函数．若(11)f =-，则满足21()1x f --≤≤的x 的取值范围是 A ．[2,2]-B ．[1,1]-C ．[0,4]D ．[1,3]6．621(1)(1)x x++展开式中2x 的系数为 A ．15B ．20C ．30D ．357．某多面体的三视图如图所示，其中正视图和左视图都由正方形和等腰直角三角形组成，正方形的边长为2，俯视图为等腰直角三角形.该多面体的各个面中有若干个是梯形，这些梯形的面积之和为A ．10B ．12C ．14D ．168．右面程序框图是为了求出满足3n−2n>1000的最小偶数n ，那么在和两个空白框中，可以分别填入A ．A >1 000和n =n +1B ．A >1 000和n =n +2C ．A ≤1 000和n =n +1D ．A ≤1 000和n =n +29．已知曲线C 1：y =cos x ，C 2：y =sin (2x +2π3)，则下面结论正确的是 A ．把C 1上各点的横坐标伸长到原来的2倍，纵坐标不变，再把得到的曲线向右平移π6个单位长度，得到曲线C 2B ．把C 1上各点的横坐标伸长到原来的2倍，纵坐标不变，再把得到的曲线向左平移π12个单位长度，得到曲线C 2C ．把C 1上各点的横坐标缩短到原来的12倍，纵坐标不变，再把得到的曲线向右平移π6个单位长度，得到曲线C 2D ．把C 1上各点的横坐标缩短到原来的12倍，纵坐标不变，再把得到的曲线向左平移π12个单位长度，得到曲线C 210．已知F 为抛物线C ：y 2=4x 的焦点，过F 作两条互相垂直的直线l 1，l 2，直线l 1与C 交于A 、B 两点，直线l 2与C 交于D 、E 两点，则|AB |+|DE |的最小值为 A ．16B ．14C ．12D ．1011．设xyz 为正数，且235x y z ==，则A ．2x <3y <5zB ．5z <2x <3yC ．3y <5z <2xD ．3y <2x <5z12．几位大学生响应国家的创业号召，开发了一款应用软件。

绝密★启用前2017年普通高等学校招生全国统一考试理科数学本试卷5页，23小题，满分150分。

考试用时120分钟。

注意事项：1．答卷前，考生务必将自己的姓名、考生号、考场号和座位号填写在答题卡上。

用2B 铅笔将试卷类型（B ）填涂在答题卡相应位置上。

将条形码横贴在答题卡右上角“条形码粘贴处”。

2．作答选择题时，选出每小题答案后，用2B 铅笔在答题卡上对应题目选项的答案信息点涂黑；如需要改动，用橡皮擦干净后，再选涂其他答案。

答案不能答在试卷上。

3．非选择题必须用黑色字迹的钢笔或签字笔作答，答案必须写在答题卡各题目指定区域内相应位置上；如需改动，先划掉原来的答案，然后再写上新答案；不准使用铅笔和涂改液。

不按以上要求作答无效。

4．考生必须保证答题卡的整洁。

考试结束后，将试卷和答题卡一并交回。

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．已知集合A ={x |x <1}，B ={x |}，则31x <A ．{|0}A B x x =< B ．A B =RC ．{|1}A B x x => D ．A B =∅2．如图，正方形ABCD 内的图形来自中国古代的太极图.正方形内切圆中的黑色部分和白色部分关于正方形的中心成中心对称.在正方形内随机取一点，则此点取自黑色部分的概率是A ．14B ．π8C ．12D ．π43．设有下面四个命题1p ：若复数z 满足1z∈R ，则z ∈R ；2p ：若复数z 满足2z ∈R ，则z ∈R ；3p ：若复数12,z z 满足12z z ∈R ，则12z z =；4p ：若复数z ∈R ，则z ∈R .其中的真命题为A ．13,p p B ．14,p p C ．23,p p D ．24,p p 4．记n S 为等差数列{}n a 的前n 项和．若4524a a +=，648S =，则{}n a 的公差为A ．1B ．2C ．4D ．85．函数()f x 在(,)-∞+∞单调递减，且为奇函数．若(11)f =-，则满足21()1x f --≤≤的x 的取值范围是A ．[2,2]-B ．[1,1]-C ．[0,4]D ．[1,3]6．621(1)(1)x x++展开式中2x 的系数为A ．15B ．20C ．30D ．357．某多面体的三视图如图所示，其中正视图和左视图都由正方形和等腰直角三角形组成，正方形的边长为2，俯视图为等腰直角三角形.该多面体的各个面中有若干个是梯形，这些梯形的面积之和为A ．10B ．12C ．14D ．168．右面程序框图是为了求出满足3n −2n >1000的最小偶数n ，那么在和两个空白框中，可以分别填入A ．A >1 000和n =n +1B ．A >1 000和n =n +2C ．A ≤1 000和n =n +1D ．A ≤1 000和n =n +29．已知曲线C 1：y =cos x ，C 2：y =sin (2x +2π3)，则下面结论正确的是A ．把C 1上各点的横坐标伸长到原来的2倍，纵坐标不变，再把得到的曲线向右平移π6个单位长度，得到曲线C 2B ．把C 1上各点的横坐标伸长到原来的2倍，纵坐标不变，再把得到的曲线向左平移π12个单位长度，得到曲线C 2C ．把C 1上各点的横坐标缩短到原来的12倍，纵坐标不变，再把得到的曲线向右平移π6个单位长度，得到曲线C 2D ．把C 1上各点的横坐标缩短到原来的12倍，纵坐标不变，再把得到的曲线向左平移π12个单位长度，得到曲线C 210．已知F 为抛物线C ：y 2=4x 的焦点，过F 作两条互相垂直的直线l 1，l 2，直线l 1与C 交于A 、B 两点，直线l 2与C 交于D 、E 两点，则|AB |+|DE |的最小值为A ．16B ．14C ．12D ．1011．设xyz 为正数，且235x y z ==，则A ．2x <3y <5zB ．5z <2x <3yC ．3y <5z <2xD ．3y <2x <5z12．几位大学生响应国家的创业号召，开发了一款应用软件。

2017年高考英语试卷（新课标Ⅰ）（含解析版）2017年全国统一高考英语试卷（新课标Ⅰ）第二部分阅读理解（共两节，满分40分）第一节（共15小题；每小题2分，满分30分）阅读下列短文，从每题所给的A、B、C和D四个选项中，选出最佳选项，并在答题卡上将该项涂黑。

A Pacific Science Center Guide◆Visit Pacific Science Center’s Store Don’t forget to stop by Pacific Science Center’s Store while you are here to pick up a wonderful science activity or remember your visit.The store is located(位于)upstairs in Building3right next to the Laster Dome.◆Hungry Our exhibits will feed your mind but what about your body?Our caféoffers a complete menu of lunch and snack options,in addition to seasonal specials. The caféis located upstairs in Building1and is open daily until one hour before Pacific Science Center closes.◆Rental Information Lockers are available to store any belongings during your visit.The lockers are locatedin Building1near the Information Desk and in Building3.Pushchairs and wheelchairs are available to rent at the Information Desk and Denny Way entrance.ID required.◆Support Pacific Science Center Since1962,Pacific Science Center has been inspiring a passion(热情)for discovery and lifelong learning in science,math and technology.Today Pacific Science Center serves more than1.3million people a year and beings inquiry-based science education to classrooms and community events all over Washington State.It’s an amazing accomplishment and one we connot achive without generous support from individuals,corporations,and other social organizations.Visit to find various ways you can support Pacific Science Center.21.Where can you buy a souvenir at Pacific Science Center?A.In Building1.B.In Building3. C.At the last Dome.D.At the Denny Way entrance.22.What does Pacific Science Center do for schools?A.Train science teachers. B.Distribute science books.C.Inspire scientific research.D.Take science to the classroom.23.What is the purpose of the last part of the text? A.To encourage donations.B.To advertise coming events.C.To introduce special exhibits.D.To tell about the Center’s history.B I work with Volunteers for Wildlife,a rescue and education organization at Bailey Arboretum in Locust Valley.Trying to help injured,displaced or sick creatures can be heartbreaking;survival is never certain.However,when it works,it is simply beautiful.I got a rescue call from a woman in Muttontown. She had found a young owl(猫头鹰)on the ground.When I arrived,I saw a2-to 3-week-old owl.It had already been placed in a carrier for safety.I examined the chick(雏鸟)and it seemed fine.If I could locate the nest,I might have been able to put it back,but no luck.My next work was to construct a nest and anchor it in a tree.The homeowner was very helpful.A wire basket was found.I put some pine branches into the basket to make this nest safe and comfortable.I placed the chick in the nest,and it quickly calmed down.Now all that was needed were the parents,but they were absent.I gave the homeowner a recording of the hunger screams of owl chicks.These advertise the presence of chicks to adults;they might also encourage our chick to start calling as well.I gave the owner as much information as possible and headed home to see what news the night might bring.A nervous night to be sure,but sometimes the spirits of nature smile on us all!The homeowner called to say that the parents had responded to the recordings.I drove over and saw the chick in the nest looking healthy and active.And it was accompanied in the nest by the greatest sight of all—LUNCH!The parents had done their duty and would probably continue to do so.24.What is unavoidable in the author’s rescue work according to paragraph1? A.Efforts made in vain. B.Getting injured in his work. C.Feeling uncertain about his future.D. Creatures forced out of their homes.25.Why was the author called to Muttontown?A.To rescue a woman.B.To take care of a woman. C.To look at a baby owl.D.To cure a young owl.26.What made the chick calm down? A.A new nest. B.Some food. C.A recording. D.Its parents.27.How would the author feel about the outcome of the event?A.It’s unexpected.B.It’s beautiful.C.It’s humorous.D.It’s discouraging.C Some of the world’s most famous musicians recently gathered in Paris and New Orleans to celebrate the first annual International Jazz Day.UNESCO(United Nations Educational,Scientific and Cultural Organization)recently set April30as a day to raise awareness of jazz music, its significance,and its potential as a unifying(联合)voice across cultures. Despite the celebrations,though,in the U.S.the jazz audience continues to shrink and grow older,and the music has failed to connect with younger generations.It’s Jason Moran’s job to help change that.As the Kennedy Center’s artistic adviser for jazz,Moran hopes to widen the audience for jazz,make the music more accessible,and preserve its history and culture.“Jazz seems like it’s not really a part of the American appetite,”Morantells National Public Radio’s reporter Neal Conan.“What I’m hoping to accomplish is that my generation and younger start to reconsider andunderstand that jazz is not black and write anymore.It’s actually color,and it’s actually digital.”Moran says one of the problems with jazz today isthat the entertainment aspect of the music has been lost.“The music can’tbe presented today the way it was in1908or1958.It has to continue to move, because the way the world works is not the same,”says st year,Moran worked on a project that arranged Fats Waller’s music for a dance party,“Just to kind of put it back in the mind that Waller is dance music as muchas it is concert music,”says Moran.“For me,it’s the recontextualization. In music,where does the emotion(情感)lie?Are we,as humans,gaining any insight(感悟)on how to talk about ourselves and how something as abstract as a Charlie Parker record gets us into a dialogue about our emotions and our thoughts?Sometimes we lose sight that the music has a wider context,”says Moran,“so I want to continue those dialogues.Those are the things I want to foster.”28.Why did UNESCO set April30as International Jazz Day?A.To remember the birth of jazz.B.To protect cultural diversity. C.To encourage people to study music.D.To recognize the value of jazz.29.What does the underlined word“that”in paragraph3refer to?A.Jazz becoming more accessible.B.The production of jazz growing faster.C.Jazz being lesspopular with the young.D.The jazz audience becoming larger.30.What can we infer about Moran’s opinion on jazz? A.It will disappear gradually. B.It remains black and white.C.It should keep up with the times. D.It changes every50years.31.Which of the following can be the best title for the text?A.Exploring the Future of Jazz.B.The Rise and Fall of Jazz.C.The Story of a Jazz Musician.D.Celebrating the Jazz Day.D A buld-it-yourself solar still （蒸馏器）is one of the best ways to obtain drinking water in areas where the liquid is not readily available.Developed by two doctors in the U.S. Department of Agriculture,it’s an excellent water collector.Unfortunately, you must carry the necessary equipment with you,since it’s all but impossible to find natural substitutes.The only components required,though, are a5＇×5＇sheet of clear or slightly milky plastic,six feet of plastic tube,and a container—perhaps just a drinking cup—to catch the water. These pieces can be folded into a neat little pack and fastened on your belt. To construct a working still,use a sharp stick or rock to dig a hole fourfeet across and three feet deep.Try to make the hole in a damp area to increase the water catcher’s productivity.Place your cup in the deepest part of the hole.Then lay the tube in place so that one end rests all the way in the cup and the rest of the line runs up—and out—the side of the hole. Next,cover the hole with the plastic sheet,securing the edges of the plastic with dirt and weighting the sheet’s center down with a rock.The plastic should now form a cone(圆锥体)with45-degree-angled sides.The low point of the sheet must be centered directly over,and no more than three inches above, the cup.The solar still works by creating a greenhouse under the plastic. Ground water evaporates(蒸发)and collects on the sheet until small drops of water form,run down the material and fall off into the cup.When the container is full,you can suck the refreshment out through the tube,and won’t have to break down the still every time you need a drink.32.What do we know about the solar still equipment from the first paragraph? A.It’s delicate. B.It’s expensive. C.It’s complex.D.It’s portable.33.What does the underlined phrase“the water catcher”in paragraph2refer to?A. The tube. B.The still.C.The hole. D.The cup.34.What’s the last step ofconstructing a working solar still?A.Dig a hole of a certain size. B.Putthe cup in place. C.Weight the sheet’s center down. D.Cover the hole with the plastic sheet.35.When a solar still works,drops of water come into the cup form.A.the plastic tube B.outside the hole C.the open air D.beneath the sheet第二节(共5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。

更多优质资料请关注公众号：诗酒叙华年绝密★启用前2017年普通高等学校招生全国统一考试理科数学本试卷5页，23小题，满分150分。

考试用时120分钟。

注意事项：1．答卷前，考生务必将自己的姓名、考生号、考场号和座位号填写在答题卡上。

用2B 铅笔将试卷类型（B ）填涂在答题卡相应位置上。

将条形码横贴在答题卡右上角“条形码粘贴处”。

2．作答选择题时，选出每小题答案后，用2B 铅笔在答题卡上对应题目选项的答案信息点涂黑；如需要改动，用橡皮擦干净后，再选涂其他答案。

答案不能答在试卷上。

3．非选择题必须用黑色字迹的钢笔或签字笔作答，答案必须写在答题卡各题目指定区域内相应位置上；如需改动，先划掉原来的答案，然后再写上新答案；不准使用铅笔和涂改液。

不按以上要求作答无效。

4．考生必须保证答题卡的整洁。

考试结束后，将试卷和答题卡一并交回。

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．已知集合A ={x |x <1}，B ={x |31x <}，则 A ．{|0}A B x x =<I B ．A B =R U C ．{|1}A B x x =>UD ．A B =∅I2．如图，正方形ABCD 内的图形来自中国古代的太极图.正方形内切圆中的黑色部分和白色部分关于正方形的中心成中心对称.在正方形内随机取一点，则此点取自黑色部分的概率是A ．14B ．π8C ．12D ．π43．设有下面四个命题1p ：若复数z 满足1z∈R ，则z ∈R ；更多优质资料请关注公众号：诗酒叙华年2p ：若复数z 满足2z ∈R ，则z ∈R ；3p ：若复数12,z z 满足12z z ∈R ，则12z z =； 4p ：若复数z ∈R ，则z ∈R .其中的真命题为 A ．13,p pB ．14,p pC ．23,p pD ．24,p p4．记n S 为等差数列{}n a 的前n 项和．若4524a a +=，648S =，则{}n a 的公差为A ．1B ．2C ．4D ．85．函数()f x 在(,)-∞+∞单调递减，且为奇函数．若(11)f =-，则满足21()1x f --≤≤的x 的取值范围是 A ．[2,2]-B ．[1,1]-C ．[0,4]D ．[1,3]6．621(1)(1)x x++展开式中2x 的系数为 A ．15B ．20C ．30D ．357．某多面体的三视图如图所示，其中正视图和左视图都由正方形和等腰直角三角形组成，正方形的边长为2，俯视图为等腰直角三角形.该多面体的各个面中有若干个是梯形，这些梯形的面积之和为A ．10B ．12C ．14D ．168．右面程序框图是为了求出满足3n −2n >1000的最小偶数n ，那么在和两个空白框中，可以分别填入A ．A >1 000和n =n +1更多优质资料请关注公众号：诗酒叙华年B ．A >1 000和n =n +2C ．A ≤1 000和n =n +1D ．A ≤1 000和n =n +29．已知曲线C 1：y =cos x ，C 2：y =sin (2x +2π3)，则下面结论正确的是 A ．把C 1上各点的横坐标伸长到原来的2倍，纵坐标不变，再把得到的曲线向右平移π6个单位长度，得到曲线C 2B ．把C 1上各点的横坐标伸长到原来的2倍，纵坐标不变，再把得到的曲线向左平移π12个单位长度，得到曲线C 2C ．把C 1上各点的横坐标缩短到原来的12倍，纵坐标不变，再把得到的曲线向右平移π6个单位长度，得到曲线C 2D ．把C 1上各点的横坐标缩短到原来的12倍，纵坐标不变，再把得到的曲线向左平移π12个单位长度，得到曲线C 210．已知F 为抛物线C ：y 2=4x 的焦点，过F 作两条互相垂直的直线l 1，l 2，直线l 1与C 交于A 、B 两点，直线l 2与C 交于D 、E 两点，则|AB |+|DE |的最小值为 A ．16B ．14C ．12D ．1011．设xyz 为正数，且235x y z ==，则A ．2x <3y <5zB ．5z <2x <3yC ．3y <5z <2xD ．3y <2x <5z12．几位大学生响应国家的创业号召，开发了一款应用软件.为激发大家学习数学的兴趣，他们推出了“解数学题获取软件激活码”的活动.这款软件的激活码为下面数学问题的答案：已知数列1，1，2，1，2，4，1，2，4，8，1，2，4，8，16，…，其中第一项是20，接下来的两项是20，21，再接下来的三项是20，21，22，依此类推.求满足如下条件的学科网&最小整数N ：N >100且该数列的前N 项和为2的整数幂.那么该款软件的激活码是 A ．440B ．330C ．220D ．110二、填空题：本题共4小题，每小题5分，共20分。

2017年山东高考英语试题与详解答案word版绝密★启封前试卷类型A2017年普通高等学校招生全国统一考试（新课标I）英语（考试时间：120分钟试卷满分：150分）注意事项：1.本试卷由四个部分组成。

其中，第一、二部分和第三部分的第一节为选择题。

第三部分的第二节和第四部分为非选择题。

2.答卷前，考生务必将自己的姓名、准考证号填写在答题卡上。

3.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；回答非选择题时，将答案写在答题卡上，写在本试卷上无效。

4.考试结束后，将本试卷和答题卡一并交回。

第二部分阅读理解(共两节，满分40分)第一节(共15小题；每小题2分，满分30分) 阅读下列短文，从每题所给的A、B、C和D四个选项中，选出最佳选项，并在答题卡上将该项涂黑。

APacific Science Center Guide◆Visit Pacific Science Center’s StoreDon’t forget to stop by Pacific Science Center’s Store while you are here to pick up a wonderful science activity or remember your visit. The store is located(位于) upstairs in Building 3 right next to the Laster Dome.◆HungryOur exhibits will feed your mind but what about your body? Our caféoffers a complete menu of lunch and snack options, in addition to seasonals. The caféis located upstairs in Building 1 and is open daily until one hour Pacific Science Center closes.◆Rental InformationLockers are available to store any belongs during your visit. The lockers are located in Building 1 near the Information Desk and in Building 3. Pushchairs and wheelchairs are available to rent at the Information Desk and Denny Way entrance. ID required.◆Support Pacific Science CenterSince 1962 Pacific Science Center has been inspiring a passion(热情) for discovery and lifelong @ in science, math and technology. Today Pacific Science Center serves more than 1.3 million people a year and beings inquiry based science education to classrooms and company events all over Washington State. It’s an amazing accomplishment and one we connect science without generous support from individuals, corporations, and other social organizations. Wish to find various ways you can support Pacific Science Center.21.Where are you buy a at Scicnce Center?A.In Building 1.B. In Building 3.C.At the last Denny.3-week-old owl. It had already zxxk.been placed in a carrier for safety.I examined the chick(雏鸟) and it seemed fine. If I could locate the nest, I might have been able to put it back, but no luck. My next work was to construct a nest and anchor it in a tree.The homeowner was very helpful. A wire basket was found. I put some pine branches into the basket to make this nest safe and comfortable. I placed the chick in the nest, and it quickly calmed down.Now all that was needed were the parents, but they were absent. I gave the homeowner a recording of the hunger screams of owl chicks. These advertise the presence of chicks to adults; they might also encourage our chick to start calling as well. I gave the owner as much information as possible and headed home to see what news the night might bring.A nervous night to be sure,but sometimes the spirits of nature smile on us all! The homeowner called to say that the parents had responded tothe recordings. I drove over and saw the chick in the nest looking healthy and active. And it was accompanied in the nest by the greatest sight of all — LUNCH！The parents had done their duty and would probably continue to do so.24.What is unavoidable in the author’s rescue work according ro paragraph 1?A.Efforts made in vain.B.Getting injured in his work.C.Feeling uncertain about his future.D.Creatures forced out of their homes.25.Why was the author called to Muttontown?A.To rescue a woman.B.To take care of a woman.C.To look at a baby owl.D.To cure a young owl.26.What made the chick calm down?A.A new nest.B.Some food.C.A recording.D.Its parents.27.How would the author feel about the outcome of the event?A.It’s unexpected.B. It’s beautiful.C. It’s humorous.D. It’s discouraging.CSome o f the world’s most famous musiciansrecently gathered in Paris and New Orleans to celebrate the first annual International Jazz Day. UNESCO( United Nations Educational, Scientific and Cultural Organization) recently set April 30 as a day to raise awareness of jazz music, its significance, and its potential as a unifying(联合) voice across cultures.Despite the celebrations, though, in the U.S. the jazz audience continues to shrink and grow older, and the music has failed to connect with younger generations.I t’s Jason Moran’s job to help change that. As the Kennedy Center’s artistic adviser for jazz, Moran hopes to widen the audience for jazz, make the music more accessible, and preserve its history and culture.“Jazz seems like it’s not really a part of the A merican appetite,” Moran tells National Public Radio’s reporter Neal Conan. “What I’m hoping to accomplish is that mu generation and younger start to reconsider and understand that jazz is not black and write anymore. It’s actuallycolor, and it’s actually digital.”Moran says one of the problems with jazz today is that the entertainment aspect of the music has been lost. “The music can’t be presented today the way it was in 1908 or 1958. It has to continue to move, because the way the world works is not th e same,” says Moran.Last year, Moran worked on a project that arranged Fats Waller’s music for a dance party, “Just to kind of put it back in the mind that Waller is dance music as much as it is concert music,” says Moran. “For me, it’s the recontextualization. In music, where does the emotion(情感) lie? Are we, as abstract as a Charlie Parker record gets us into a dialogue about our emotions and our thoughts? Sometimes we lose sight that the music has a wider context,” says Moran, “So I want to continue those dialogue. Those are the things I want to foster.”28．Why did UNESCO set April 30 as International Jazz Day?A．To remember the birth of jazz.B．To protect cultural diversity.C．To encourage people to study music.D．To recognize the value of jazz. 29．What does the underlined word “that” in Paragraph 3 refer to?A．Jazz becoming more accessible.B．The production of jazz growing faster.C．Jazz being less popular with the young.D．The jazz audience becoming larger. 30．What can we infer about Moran’s opinion on jazz?A．It will disappear gradually.B．It remains black and white.C．It should keep up with the times.D．It changes every 50 years.31．Which of the following can be the best title for the text?A．Exploring the Future of jazz.B．The Rise and Fall of jazz.C．The Story of a jazz Musician.D．Celebrating the Jazz Day.DA buld-it-yourself solar still（蒸馏器）is one of the best ways to obtain drinking water in areas where the liquid is not readily available. Developed by two doctors in the U.S. Department of Agri culture, it’s an excellent water collector. Unfortunately, you must carry the necessary equipment with you, since it’s all but impossible to find natural substitutes. The only components required, though, are a 5’ 5’ sheet of clear or slightly milky plastic, six feet of plastic tube, and a container—perhaps just a drinking cup — to catch the water. These pieces can be folded into a neat little pack and fastened on your belt.To construct a working still, use a sharp stick or rock to dig a hole four feet across and three feet deep. Try to make the hole in a damp area to increase the water catcher’s productivity. Place your cup in the deepest part of the hole. Then lay the tube in place so that one end rests all the way in the cup and the restof the line runs up — and out — the side of the hole.Next, cover the hole with the plastic sheet, securing the edges of the plastic with dirt and weighting the sheet’s center down with a rock. The plastic should now form a cone(圆锥体) with 45-degree-angled sides. The low point of the sheet must be centered directly over, and no more than three inches above, the cup.The solar still works by creating a greenhouse under the plastic. Ground water evaporates (蒸发) and collects on the sheet until small drops of water form, run down the material and fall off into the cup. When the container is full, you can suck the refreshment out through the tube, and won’t have to break down the still every time you need a drink.32.What do we know about the solar still equipment from the first paragraph?A.It’s delicate.B.It’s expensive.C.It’s complex.D.It’sportable33.What does the underlined phrase “the water catcher” in paragraph 2 refer to?A.The tubeB.The stillC.The holeD.The cup34.What’s the last step of constructing a working solar still?A.Dig a hole of a certain sizeB.Put the cup in placeC.Weight the sheet’s center downD.Cover the hole with the plastic sheet35.When a solar still works, drops of water come into the cup form .A.the plastic tubeB.outside the holeC.the open airD.beneath the sheet第二节(共5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学科&网空白处的最佳选项。

2017年普通高等学校招生全国统一考试（新课标I）英语第二部分阅读理解(共两节，满分40分)第一节(共15小题；每小题2分，满分30分)阅读下列短文，从每题所给的A、B、C和D四个选项中，选出最佳选项，并在答题卡上将该项涂黑。

APacific Science Center Guide◆Visit Pacific Science Center’s StoreDon’t forget to stop by Pacific Science Center’s Store while you are here to pick up a wonderful science activity or remember your visit. The store is located(位于) upstairs in Building 3 right next to the Laster Dome.◆HungryOur exhibits will feed your mind but what about your body? Our café offers a complete menu of lunch and snack options, in addition to seasonal specials. The café is located upstairs in Building 1 and is open daily until one hour before Pacific Science Center closes.◆Rental InformationLockers are available to store any belongings during your visit. The lockers are located in Building 1 near the Information Desk and in Building 3. Pushchairs and wheelchairs are available to rent at the Information Desk and Denny Way entrance. ID required.◆S upport Pacific Science CenterSince 1962 Pacific Science Center has been inspiring a passion(热情) for discovery and lifelong learning in science, math and technology. Today Pacific Science Center serves more than 1.3 million people a year and beings inquiry-based science education to classrooms and community events all over Washington State. It’s an amazing accomplishment and one we connot achive without generous support from individuals, corporations, and other social organizations. Wish to find various ways you can support Pacific Science Center.21.Where can you buy a souvenir at Pacific Science Center?A.In Building 1.B. In Building 3.C.At the last Dome.D.At the Denny Way entrance.22.What does Pacific Science Center do for schools?A.Train Science teachers.B.Disncie scicnce books.C. Distribute scientific research.D.Take science to the classroom.23.What is the purpose of the last part of the text?A.To encourage donations.B.To advertise coming events.C.To introduce special exhibits.D.To tell about the Center’s history.BI work with V olunteers for Wildlife, a rescue and education organization at Bailey Arboretum in Locust Valley. Trying to help injured, displaced or sick creatures can be heartbreaking; survival is never certain. However, when it works, it is simply beautiful.I got a rescue call from a woman in Muttontown. She had found a young owl(猫头鹰) on the ground. When I arrived, I saw a 2-to 3-week-old owl. It had already been placed in a carrier for safety.I examined the chick(雏鸟) and it seemed fine. If I could locate the nest, I might have been able to put it back, but no luck. My next work was to construct a nest and anchor it in a tree.The homeowner was very helpful. A wire basket was found. I put some pine branches into the basket to make this nest safe and comfortable. I placed the chick in the nest, and it quickly calmed down.Now all that was needed were the parents, but they were absent. I gave the homeowner a recording of the hunger screams of owl chicks. These advertise the presence of chicks to adults; they might also encourage our chick to start calling as well. I gave the owner as much information as possible and headed home to see what news the night might bring.A nervous night to be sure,but sometimes the spirits of nature smile on us all! The homeowner called to say that the parents had responded to the recordings. I drove over and saw the chick in the nest looking healthy and active. And it was accompanied in the nest by zxxk the greatest sight of all — LUNCH! The parents had done their duty and would probably continue to do so.24.What is unavoidable in the author’s rescue work ac cording to paragraph 1?A.Efforts made in vain.B.Getting injured in his work.C.Feeling uncertain about his future.D.Creatures forced out of their homes.25.Why was the author called to Muttontown?A.To rescue a woman.B.To take care of a woman.C.To look at a baby owl.D.To cure a young owl.26.What made the chick calm down?A.A new nest.B.Some food.C.A recording.D.Its parents.27.How would the author feel about the outcome of the event?A.It’s unexpected.B. It’s beautiful.C. It’s humorous.D. It’s discouraging.CSome of the world’s most famous musicians recently gathered in Paris and New Orleans to celebrate the first annual International Jazz Day. UNESCO( United Nations Educational, Scientific and Cultural Organization) recently set April 30 as a day to raise awareness of jazz music, its significance, and its potential as a unifying(联合) voice across cultures.Despite the celebrations, though, in the U.S. the jazz audience continues to shrink and grow older, and the music has failed to connect with younger generations.It’s Jason Moran’s job to help change that. As the Kennedy Center’s artistic adviser for jazz, Moran hopes to widen the audience for jazz, make the music more accessible, and preserve its history and culture.“Jazz seems like it’s not really a part of the American appetite,” Moran tells National Public Radio’s reporter Neal Conan. “What I’m hoping to accomplish is that my generation and younger start to reconsider and understand that jazz is not black and write anymore. It’s actually color, and it’s actually digital.”Moran says one of the problems with jazz today is that the entertainment aspect of the music has been lost. “The music can’t be presented today the way it was in 1908 or 1958. It has to c ontinue to move, because the way the world works is not the same,” says Moran.Last year, Moran worked on a project that arranged Fats Waller’s music for a dance party, “Just to kind of put it back in the mind that Waller is dance music as much as it is co ncert music,” says Moran. “For me, it’s the recontextualization. In music, where does the emotion(情感) lie? Are we, as humans, gaining any insight(感悟) on how to talk about ourselves and how something as abstract as a Charlie Parker record gets us into a dialogue about our emotions and our thoughts? Sometimes we lose sight that the music has a wider context,” says Moran, “so I want to continue those dialogues. Those are the things I want to foster.”28．Why did UNESCO set April 30 as International Jazz Day?A．To remember the birth of jazz. B．To protect cultural diversity.C．To encourage people to study music. D．To recognize the value of jazz.29．What does the underlined word “that”in paragraph 3 refer to?A．Jazz becoming more accessible. B．The production of jazz growing faster.C．Jazz being less popular with the young. D．The jazz audience becoming larger.30．What can we infer about Moran’s opinion on jazz?A．It will disappear gradually. B．It remains black and white.C．It should keep up with the times. D．It changes every 50 years.31．Which of the following can be the best title for the text?A．Exploring the Future of Jazz. B．The Rise and Fall of Jazz.C．The Story of a Jazz Musician. D．Celebrating the Jazz Day.DA buld-it-yourself solar still（蒸馏器）is one of the best ways to obtain drinking water in areas where the liquid is not readily available. Developed by two doctors in the U.S. Department of Agriculture, it’s an excellent water collector. Unfortunately, you must carry the necessary equipment with you, since it’s all but impossible to find natural substitutes. The only components required, though, are a 5＇ 5＇sheet of clear or slightly milky plastic, six feet of plastic tube, and acontainer— perhaps just a drinking cup — to catch the water. These pieces can be folded into a neat little pack and fastened on your belt.To construct a working still, use a sharp stick or rock to dig a hole four feet across and three feet deep. Try to make the hole in a damp area to increase the water catcher’s productivity. Place your cup in the deepest part of the hole. Then lay the tube in place so that one end rests all the way in the cup and the rest of the line runs up — and out — the side of the hole.Next, cover the hole with the plastic sheet, securing the edges of the plastic with dirt and weighting the sheet’s center down with a rock. The plastic should now form a cone(圆锥体) with 45-degree-angled sides. The low point of the sheet must be centered directly over, and no more than three inches above, the cup.The solar still works by creating a greenhouse under the plastic. Ground water evaporates (蒸发) and collects on the sheet until small drops of water form, run down the material and fall off into the cup. When the container is full, you can suck the refreshment zxxk out through the tube, and won’t have to break down the still every time you need a drink.32. What do we know about the solar still equipment from the first paragraph?A. It’s delicate.B. It’s expensive.C. It’s complex.D. It’s portable.33. What does the underlined phrase “the water catcher” in paragraph 2 refer to?A. The tube.B. The still.C. The hole.D. The cup.34. W hat’s the last step of constructing a working solar still?A. Dig a hole of a certain size.B. Put the cup in place.C. Weight the sheet’s center down.D. Cover the hole with the plastic sheet.35. When a solar still works, drops of water come into the cup form .A. the plastic tubeB. outside the holeC. the open airD. beneath the sheet第二节(共5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。

绝密★启用前2017年普通高等学校招生全国统一考试（山东卷）理科数学本试卷分第I 卷和第II 卷两部分，共4页。

满分150分。

考试用时120分钟。

考试结束后，将本试卷和答题卡一并交回。

注意事项：1．答卷前，考生务必用0.5毫米黑色签字笔将自己的姓名、座号、考生号、县区和科类填写在答题卡和试卷规定的位置上。

2．第Ⅰ卷每小题选出答案后，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。

答案写在试卷上无效。

3．第Ⅱ卷必须用0.5毫米黑色签字笔作答，答案必须写在答题卡各题目指定区域内相应的位置，不能写在试卷上；如需改动，先划掉原来的答案，然后再写上新的答案；不能使用涂改液、胶带纸、修正带。

不按以上要求作答的答案无效。

4、填空题请直接填写答案，解答题应写出文字说明，证明过程或演算步骤。

参考公式：如果事件A ，B 互斥，那么P （A+B ）=P(A)+P(B)；如果事件A 、B 独立，那么P （AB ）=P(A)﹒P(B)第I 卷（共50分）一、选择题：本大题共10小题，每小题5分，共50分，在每小题给出的四个选项中，只有一项是符号题目要求的.（1）设函数A ，函数y=ln(1-x)的定义域为B ,则A B ⋂= （A ）（1,2） （B ）⎤⎦(1,2 （C ）（-2,1） （D ）[-2,1) （2）已知a R ∈,i是虚数单位，若,4z a z z =+⋅=，则a= （A ）1或-1 （B（C ）（D（3）已知命题p:()x x ∀+＞0,ln 1＞0；命题q ：若a ＞b ，则a b 22＞，下列命题为真命题的是 （A ） ∧p q （B ）⌝∧p q （C ） ⌝∧p q （D ）⌝⌝∧p q （4）已知x,y 满足x y 3x y ⎧-+≤⎪+≤⎨⎪+≥⎩30+5030x ，则z=x+2y 的最大值是（A ）0 （B ） 2 （C ） 5 （D ）6（5）为了研究某班学生的脚长x （单位：厘米）和身高y （单位：厘米）的关系，从该班随机抽取10名学生，根据测量数据的散点图可以看出y 与x 之间有线性相关关系，设其回归直线方程为ˆˆˆybx a =+．已知101225ii x==∑，1011600i i y ==∑，ˆ4b=．该班某学生的脚长为24，据此估计其身高为 （A ）160 （B ）163 （C ）166 （D ）170 （6）执行两次右图所示的程序框图，若第一次输入的x 的值为7，第二次输入的x 的值为9，则第一次、第二次输出的a 的值分别为（A ）0，0 （B ）1，1 （C ）0，1 （D ）1，0（7）若0a b >>，且1ab =，则下列不等式成立的是 （A ）()21log 2a b a a b b +<<+ （B ）()21log 2a b a b a b <+<+ （C ）()21log 2a ba ab b +<+< （D ）()21log 2a b a b a b +<+<（8）从分别标有1，2，⋅⋅⋅，9的9张卡片中不放回地随机抽取2次，每次抽取1张．则抽到的2张卡片上的数奇偶性不同的概率是 （A ）518 （B ）49 （C ）59（D ）79 （9）在C ∆AB 中，角A ，B ，C 的对边分别为a ，b ，c ．若C ∆AB 为锐角三角形，且满足()sin 12cosC 2sin cosC cos sinC B +=A +A ，则下列等式成立的是（A ）2a b = （B ）2b a = （C ）2A =B （D ）2B =A（10）已知当[]0,1x ∈时，函数()21y mx =-的图象与y m =的图象有且只有一个交点，则正实数m的取值范围是 （A ）(])0,123,⎡+∞⎣（B ）(][)0,13,+∞（C ）()23,⎡+∞⎣（D ）([)3,+∞第II 卷（共100分）二、填空题：本大题共5小题，每小题5分，共25分（11）已知()13nx +的展开式中含有2x 项的系数是54，则n = .（12）已知12,e e 12-e 与12λ+e e 的夹角为60，则实数λ的值是 . (13)由一个长方体和两个14圆柱体构成的几何体的三视图如右图，则该几何体的体积为 .（14）在平面直角坐标系xOy 中，双曲线()222210,0x y a b a b-=>>的右支与焦点为F 的抛物线()220x px p =>交于,A B 两点，若4AF BF OF +=，则该双曲线的渐近线方程为 . （15）若函数()x e f x （ 2.71828e =是自然对数的底数）在()f x 的定义域上单调递增，则称函数()f x 具有M 性质.下列函数中所有具有M 性质的函数的序号为 .①()2x f x -=②()3x f x -=③()3f x x =④()22f x x =+三、解答题：本大题共6小题，共75分。

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一、选择题：本大题共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. 已知集合A ={x |x <1},B ={x |31x<},则（ ）A.{|0}A B x x =<B.A B =RC.{|1}A B x x =>D.A B =∅ 2. 如图，正方形ABCD 内的图形来自中国古代的太极图，正方形内切圆中的黑色部分和白色部分关于正方形的中心成中心对称.在正方形内随机取一点，则此点取自黑色部分的概率是（ ）A.14 B. π8 C. 12 D. π43. 设有下面四个命题1:p 若复数z 满足1z∈R ，则z ∈R ；2:p 若复数z 满足2z ∈R ，则z ∈R ；3:p 若复数12,z z 满足12z z ∈R ，则12z z =；4:p 若复数z ∈R ，则z ∈R .其中的真命题为（ ）A.13,p pB.14,p pC.23,p pD.24,p p4．记n S 为等差数列{}n a 的前n 项和．若4524a a +=，48S =，则{}n a 的公差为（ ） A ．1 B ．2 C ．4 D ．85．函数()f x 在(,)-∞+∞单调递减，且为奇函数．若(11)f =-，则满足21()1x f --≤≤ 的x 的取值范围是（ ） A ．[2,2]- B ． [1,1]- C ． [0,4] D ． [1,3] 6. 621(1)(1)x x++展开式中2x 的系数为（ ）A.15B.20C.30D.357. 某多面体的三视图如图所示，其中正视图和左视图都由正方形和等腰 直角三角形组成，正方形的边长为2，俯视图为等腰直角三角形，该多 面体的各个面中有若干个是梯形，这些梯形的面积之和为（ ）A.10B.12C.14D.168.下面程序框图是为了求出满足3n -2n >1000的最小偶数n ，那么 在和两个空白框中，可以分别填入（ ）A. A >1000和n =n +1B. A >1000和n =n +2C. A ≤1000和n =n +1D. A ≤1000和n =n +29.已知曲线C 1：y =cos x ，C 2：y =sin (2x +2π3)，则下面结正确的是（ ） A.把C 1上各点的横坐标伸长到原来的2倍，纵坐标不变，再把得到的曲线向右平移π6个单位长度，得到曲线C 2B.把C 1上各点的横坐标伸长到原来的2倍，纵坐标不变，再把得到的曲线向左平移π12个单位长度，得到曲线C 2C.把C 1上各点的横坐标缩短到原来的12倍，纵坐标不变，再把得到的曲线向右平移π6个单位长度，得到曲线C 2D.把C 1上各点的横坐标缩短到原来的12倍，纵坐标不变，再把得到的曲线向右平移π12个单位长度，得到曲线C 210. 已知F 为抛物线C ：y 2=4x 的焦点，过F 作两条互相垂直的直线l 1，l 2，直线l 1与C 交于A 、B 两点，直线l 2与C 交于D 、E 两点，则|AB |+|DE |的最小值为（ ） A ．16 B ．14 C ．12 D ．10 11. 设x 、y 、z 为正数，且235xyz==，则（ ）A ．2x <3y <5zB ．5z <2x <3yC ．3y <5z <2xD ．3y <2x <5z 12. 几位大学生响应国家的创业号召，开发了一款应用软件.为激发大家学习数学的兴趣，他 们退出了“解数学题获取软件激活码”的活动.这款软件的激活码为下面数学问题的答案：已知数列1，1，2，1，2，4，1，2，4，8，1，2，4，8，16 ，…，其中第一项是20，接下来的两项是20，21，再接下来的三项是26，21，22，依此类推.求满足如下条件的最小整数N ：N >100且该数列的前N 项和为2的整数幂.那么该款软件的激活码是（ ） A. 440 B. 330 C. 220 D. 110二、填空题：本题共4小题，每小题5分，共20分.13. 已知向量a ，b 的夹角为60°，|a |=2， | b |=1，则| a +2 b |= .14. 设x ，y 满足约束条件21210x y x y x y +≤⎧⎪+≥-⎨⎪-≤⎩，则32z x y =-的最小值为 .15. 已知双曲线C ：22221x y a b-=（a >0，b >0）的右顶点为A ，以A 为圆心，b 为半径做圆A ，圆A 与双曲线C 的一条渐近线交于M 、N 两点.若∠MAN =60°，则C 的离心率为________.16. 如图，圆形纸片的圆心为O ，半径为5 cm ，该纸片上的等边三角形ABC 的中心为O .D 、E 、F 为圆O 上的点，△DBC ，△ECA ，△F AB 分别是以BC ，CA ，AB 为底边的等腰三角形.沿虚线剪开后，分别以BC ，CA ，AB 为折痕折起△DBC ，△ECA ，△F AB ，使得D 、E 、F 重合，得到三棱锥.当△ABC 的边长变化时，所得三棱锥体积（单位：cm 3）的最大值为_______.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：60分. 17.（12分）△ABC 的内角A ，B ，C 的对边分别为a ，b ，c ，已知△ABC 的面积为23sin a A（1）求sin B sin C ;（2）若6cos B cos C =1,a =3,求△ABC 的周长18.（12分）如图，在四棱锥P-ABCD 中，AB//CD ，且90BAP CDP ∠=∠= (1)证明：平面PAB ⊥平面PAD ；(2)若PA=PD=AB=DC,90APD ∠=,求二面角A-PB-C 的余弦值.19．（12分）为了监控某种零件的一条生产线的生产过程，检验员每天从该生产线上随机抽取16个零件，并测量其尺寸（单位：cm ）．根据长期生产经验，可以认为这条生产线正常状态下生产的零件的尺寸服从正态分布N(μ,σ2)．（1）假设生产状态正常，记X 表示一天内抽取的16个零件中其尺寸在(μ–3σ,μ+3σ)之外的零件数，求P(X≥1)及X 的数学期望；（2）一天内抽检零件中，如果出现了尺寸在(μ–3σ,μ+3σ)之外的零件，就认为这条生产线在这一天的生产过程可能出现了异常情况，需对当天的生产过程进行检查． （ⅰ）试说明上述监控生产过程方法的合理性；经计算得16119.9716i i x x ===∑，0.212s ===，其中xi 为抽取的第i 个零件的尺寸，i=1,2, (16)用样本平均数x 作为μ的估计值ˆμ，用样本标准差s 作为σ的估计值ˆσ，利用估计值判断是否需对当天的生产过程进行检查？剔除ˆˆˆˆ(3,3)μσμσ-+之外的数据，用剩下的数据估计μ和σ（精确到0.01）．附：若随机变量Z 服从正态分布N(μ,σ2)，则P(μ–3σ<Z<μ+3σ)=0.997 4，0.997 416≈0.959 2，0.09≈．20.（12分）已知椭圆C ：2222=1x y a b +（a >b >0），四点P 1（1,1），P 2（0,1），P 3（–1 ），P 4（1，2）中恰有三点在椭圆C 上.（1）求C 的方程；（2）设直线l 不经过P 2点且与C 相交于A ，B 两点.若直线P 2A 与直线P 2B 的斜率的和为–1，证明：l 过定点.21.（12分）已知函数()f x =a e 2x +（a ﹣2）e x ﹣x . （1）讨论()f x 的单调性；（2）若()f x 有两个零点，求a 的取值范围.（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，则按所做的第一题计分.22．[选修4-4，坐标系与参数方程]（10分）在直角坐标系xOy 中，曲线C 的参数方程为3cos ,sin ,x y θθ=⎧⎨=⎩（θ为参数），直线l 的参数方程为4,1,x a t y t =+⎧⎨=-⎩（t 为参数）. （1）若a =-1，求C 与l 的交点坐标；（2）若C 上的点到l a .23. [选修4—5：不等式选讲]（10分）已知函数f （x ）=–x 2+ax +4，g (x )=│x +1│+│x –1│. （1）当a =1时，求不等式f （x ）≥g （x ）的解集；（2）若不等式f （x ）≥g （x ）的解集包含[–1，1]，求a 的取值范围.【参考答案】1-5 ABBCD 6-10 CBDDA 11 D 12 A13. 14. 5- 15.16. 17.解：（1）∵ABC △面积23sin a S A=.且1sin 2S bc A = ∴21s i n 3s i n 2a b c AA = ∴223sin 2a bc A = ∵由正弦定理得223sin sin sin sin 2A B C A =，由sin 0A ≠得2sin sin 3B C =.（2）由（1）得2sin sin 3B C =，1cos cos 6B C =∵πA B C ++=∴()()1c o s c o s πc o s s i n s i n C c o sc o s 2A B C B CB BC =--=-+=-=又∵()0πA ∈，∴60A =︒，sin A =，1cos 2A =由余弦定理得2229a b c bc =+-= ① 由正弦定理得sin sin a b B A =⋅，sin sin a c C A=⋅ ∴22sin sin 8sin a bc B C A=⋅= ②由①②得b c +∴3a b c ++=，即ABC △周长为3+18.（1）证明：∵90BAP CD P ∠=∠=︒∴PA AB ⊥，PD CD ⊥又∵AB CD ∥，∴PD AB ⊥又∵PD PA P =，PD 、PA ⊂平面PAD ∴AB ⊥平面PAD ，又AB ⊂平面PAB ∴平面PAB ⊥平面PAD（2）解：取AD 中点O ，BC 中点E ，连接PO ，OE ∵AB CD∴四边形ABCD 为平行四边形 ∴OE AB由（1）知，AB ⊥平面PAD∴OE ⊥平面PAD ，又PO 、AD ⊂平面PAD ∴OE PO ⊥，OE AD ⊥ 又∵PA PD =，∴PO AD ⊥ ∴PO 、OE 、AD 两两垂直∴以O 为坐标原点，建立如图所示的空间直角坐标系O xyz -设2PA =，∴()00D ，、)20B ，、(00P ，、()20C ，，∴(0PD =，、(22PB =，，、()00BC =-，设()n x y z =,,为平面PBC 的法向量由00n PB n BC ⎧⋅=⎪⎨⋅=⎪⎩，得200y +=-=⎪⎩令1y =，则z =，0x =，可得平面PBC 的一个法向量(01n =, ∵90APD ∠=︒，∴PD PA ⊥又知AB ⊥平面PAD ，PD ⊂平面PAD ∴PD AB ⊥，又PA AB A = ∴PD ⊥平面PAB即PD 是平面PAB 的一个法向量(0PD =,,∴cos 23PD n PD n PD n⋅===⋅,由图知二面角A PB C --为钝角，所以它的余弦值为19.解：（1）由题可知尺寸落在()33μσμσ-+，之内的概率为0.9974，落在 ()33μσμσ-+，之外的概率为0.0026． ()()016160C 10.99740.99740.9592P X ==-≈()()11010.95920.0408P X PX ≥=-=≈-= 由题可知()~160.0026X B ，()160.00260.0416E X ∴=⨯= （2）（i ）尺寸落在()33μσμσ-+，之外的概率为0.0026，由正态分布知尺寸落在()33μσμσ-+，之外为小概率事件， 因此上述监控生产过程的方法合理．（ii ）39.9730.2129.334μσ-=-⨯= 39.9730.21210μσ+=+⨯= ()()339.33410.606μσμσ-+=，， ()9.229.33410.606∉，，∴需对当天的生产过程检查．因此剔除9.22剔除数据之后：9.97169.2210.0215μ⨯-==．()()()()()()()()()()()()()()()2222222222222222[9.9510.0210.1210.029.9610.029.9610.0210.0110.029.9210.029.9810.0210.0410.0210.2610.029.9110.02110.1310.0210.0210.0210.0410.0210.0510.029.9510.02]150.0σ=-+-+-+-+-+-+-+-+-+-+-+-+-+-+-⨯≈080.09σ∴=≈20.解：（1）根据椭圆对称性，必过3P 、4P又4P 横坐标为1，椭圆必不过1P ，所以过234P P P ，，三点 将()23011P P ⎛-⎝⎭，，代入椭圆方程得222113141b a b⎧=⎪⎪⎨⎪+=⎪⎩，解得24a =，21b = ∴椭圆C 的方程为：2214x y +=．（2）①当斜率不存在时，设()():A A l x m A m y B m y =-，，，， 221121A A P A P B y y k k m m m----+=+==- 得2m =，此时l 过椭圆右顶点，不存在两个交点，故不满足． ②当斜率存在时，设()1l y kx b b =+≠∶()()1122A x y B x y ，，，联立22440y kx b x y =+⎧⎨+-=⎩，整理得()222148440k x kbx b +++-= 122814kb x x k -+=+,21224414b x x k -⋅=+则22121211P A P B y y k k x x --+=+()()21212112x kx b x x kx b x x x +-++-=22228888144414kb k kb kbk b k --++=-+()()()811411k b b b -==-+-，又1b ≠21b k ⇒=--，此时64k ∆=-，存在k 使得0∆>成立． ∴直线l 的方程为21y kx k =--当2x =时，1y =-. 所以l 过定点()21-，． 21.解：（1）由于()()2e 2e x xf x a a x =+--故()()()()22e 2e 1e 12e 1x x x xf x a a a '=+--=-+①当0a ≤时，e 10x a -<，2e 10x +>．从而()0f x '<恒成立．()f x 在R 上单调递减 ②当0a >时，令()0f x '=，从而e 10x a -=，得ln x a =-．综上，当0a ≤时，()f x 在R 上单调递减；当0a >时，()f x 在(,ln )a -∞-上单调递减，在(ln ,)a -+∞上单调递增 （2）由（1）知，当0a ≤时，()f x 在R 上单调减，故()f x 在R 上至多一个零点，不满足条件． 当0a >时，()min 1ln 1ln f f a a a=-=-+． 令()11ln g a a a=-+． 令()()11ln 0g a a a a =-+>，则()211'0g a a a=+>．从而()g a 在()0+∞，上单调增， 而()10g =．故当01a <<时，()0g a <．当1a =时()0g a =．当1a >时()0g a > 若1a >，则()min 11ln 0f a g a a=-+=>，故()0f x >恒成立， 从而()f x 无零点，不满足条件． 若1a =，则min 11ln 0f a a=-+=，故()0f x =仅有一个实根ln 0x a =-=，不满足条件． 若01a <<，则min 11ln 0f a a =-+<，注意到ln 0a ->．()22110e e ea a f -=++->．故()f x 在()1ln a --，上有一个实根，而又31ln 1ln ln a a a ⎛⎫->=- ⎪⎝⎭． 且33ln 1ln 133ln(1)e e 2ln 1a a f a a a a ⎛⎫⎛⎫-- ⎪ ⎪⎝⎭⎝⎭⎛⎫⎛⎫⎛⎫-=⋅+--- ⎪ ⎪ ⎪ ⎪⎝⎭⎝⎭⎝⎭()3333132ln 11ln 10a a a a a a ⎛⎫⎛⎫⎛⎫⎛⎫=-⋅-+---=---> ⎪ ⎪ ⎪ ⎪⎝⎭⎝⎭⎝⎭⎝⎭． 故()f x 在3ln ln 1a a ⎛⎫⎛⎫-- ⎪ ⎪⎝⎭⎝⎭，上有一个实根． 又()f x 在()ln a -∞-，上单调减，在()ln a -+∞，单调增，故()f x 在R 上至多两个实根． 又()f x 在()1ln a --，及3ln ln 1a a ⎛⎫⎛⎫-- ⎪ ⎪⎝⎭⎝⎭，上均至少有一个实数根，故()f x 在R 上恰有两个实根．综上，01a <<．22.解：（1）1a =-时，直线l 的方程为430x y +-=．曲线C 的标准方程是2219x y +=，联立方程2243019x y x y +-=⎧⎪⎨+=⎪⎩，解得：30x y =⎧⎨=⎩或21252425x y ⎧=-⎪⎪⎨⎪=⎪⎩， 则C 与l 交点坐标是()30，和21242525⎛⎫- ⎪⎝⎭， （2）直线l 一般式方程是440x y a +--=．设曲线C 上点()3cos sin p θθ，． 则P 到l距离d ==3tan 4ϕ=． 依题意得：max d 16a =-或8a =23.解：（1）当1a =时，()24f x x x =-++，是开口向下，对称轴12x =的二次函数．()211121121x x g x x x x x >⎧⎪=++-=-⎨⎪-<-⎩，，≤x ≤，， 当(1,)x ∈+∞时，令242x x x-++=，解得x =()g x 在()1+∞，上单调递增，()f x 在()1+∞，上单调递减∴此时()()f x g x ≥解集为1⎛ ⎝⎦．当[]11x ∈-，时，()2g x =，()()12f x f -=≥． 当()1x ∈-∞-，时，()g x 单调递减，()f x 单调递增，且()()112g f -=-=． 综上所述，()()f x g x ≥解集1⎡-⎢⎣⎦．（2）依题意得：242x ax -++≥在[]11-，恒成立． 即220x ax --≤在[]11-，恒成立． 则只须()()2211201120a a ⎧-⋅-⎪⎨----⎪⎩≤≤，解出：11a -≤≤． 故a 取值范围是[]11-，．。

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绝密★启封前试卷类型A2017年普通高等学校招生全国统一考试（新课标I）英语(考试时间：120分钟试卷满分:150分)注意事项：1。

本试卷由四个部分组成.其中，第一、二部分和第三部分的第一节为选择题。

第三部分的第二节和第四部分为非选择题。

2。

答卷前，考生务必将自己的姓名、准考证号填写在答题卡上。

3。

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;回答非选择题时，将答案写在答题卡上，写在本试卷上无效.4。

考试结束后，将本试卷和答题卡一并交回。

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，并标在试卷的相应位置.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 movie?A.It’s amusing B。

2017年普通高等学校招生全国统一考试（新课标Ⅰ卷）英语第一部分听力（共两节，满分30分）（略）第二部分阅读理解(共两节，满分40分)第一节(共15小题；每小题2分，满分30分)阅读下列短文，从每题所给的A、B、C和D四个选项中，选出最佳选项。

APacific Science Center GuideVisit Pacific Science Center’s StoreDon’t forget to stop by Pacific Science Center’s Store while you are here to pick up a wonderful science activity or souvenir to remember your visit. The store is located(位于) upstairs in Building 3 right next to the Laser Dome.Hungry?Our exhibits will feed your mind, but what about your body? Our caféoffers a complete menu of lunch and snack options, in addition to seasonal specials. The café is located upstairs in Building 1 and is open daily until one hour Pacific Science Center closes.Rental InformationLockers are available to store any belongs during your visit. The lockers are located in Building 1 near the Information Desk and in Building 3. Pushchairs and wheelchairs are available to rent at the Information Desk and Denny Way entrance. ID required.Support Pacific Science CenterSince 1962, Pacific Science Center has been inspiring a passion(热情) for discovery and lifelong learning in science, math and technology. Today, Pacific Science Center serves more than 1.3 million people a year and brings inquiry-based science education to classrooms and community events all over Washington State. It’s an amazing accomplishment and one we cannot achieve without generous support from individuals, corporations, and other social organizations. Visit to find various ways you can support Pacific Science Center.21. Where can you buy a souvenir at Pacific Science Center?A. In Building 1.B. In Building 3.C. At the Laser Dome.D. At the Denny Way entrance.22. What does Pacific Science Center do for schools?A. Train science teachers.B. Distribute science books.C. Inspire scientific research.D. Take science to the classroom.23. What is the purpose of the last part of the text?A. To encourage donations.B. To advertise coming events.C. To introduce special exhibits.D. To tell about the Center’s history.解析：21.细节理解题。