广东省五校协作体2017届高三第一次联考试卷

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广东省肇庆市2017届高三数学上学期第一次统一检测试题文

广东省肇庆市2017届高三数学上学期第一次统一检测试题文

肇庆市中小学教学质量评估2017届高中毕业班第一次统一检测文科数学本试卷分第Ⅰ卷(选择题)和第Ⅱ卷(非选择题)两部分,共23小题,满分150分. 考试用时120分钟. 注意事项:1. 答卷前,考生务必用黑色字迹的钢笔或签字笔,将自己所在县(市、区)、姓名、试 室号、座位号填写在答题卷上对应位置,再用2B 铅笔在准考证号填涂区将考号涂黑.2. 选择题每小题选出答案后,用2B 铅笔把答题卷上对应题目的答案标号涂黑;如需改 动,用橡皮擦干净后,再选涂其它答案,答案不能写在试卷或草稿纸上.3. 非选择题必须用黑色字迹的钢笔或签字笔作答,答案必须写在答题卷各题目指定区域 内相应的位置上;如需改动,先划掉原来的答案,然后再在答题区内写上新的答案; 不准使用铅笔和涂改液.不按以上要求作答的答案无效.第Ⅰ卷一. 选择题:本大题共12小题,每小题5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)若集合{}2|40M x R x x =∈-<,集合{}0,4N =,则M N =U(A )[]0,4 (B )[0,4) (C )(0,4] (D )()0,4 (2)设i 为虚数单位,复数3iz i-=,则z 的共轭复数z (A )13i --(B )13i - (C )13i -+ (D )13i +(3)已知向量()(),2,1,1m a n a ==-u r r,且m n ⊥u r r ,则实数a 的值为(A )0 (B )2 (C )2-或1 (D )2-(4)已知命题p :“3x >”是“29x >”的充要条件,命题q :“22a b >”是“a b >”的充要条件, 则(A )p ∨q 为真 (B )p ∧q 为真 (C )p 真q 假(D )p ∨q 为假(5)设复数z 满足()3112(i z i i +=-g 为虚数单位),则复数z 对应的点位于复平面内(A )第一象限 (B )第二象限 (C )第三象限 (D )第四象限(6)原命题p :“设,,a b c R ∈,若a b >,则22ac bc >”以及它的逆命题、否命题、逆否命题中,真命题的个数为(A )0 (B )1 (C )2 (D )4(7)图(1)是某高三学生进入高中三年的数学考试成绩的茎叶图,图中第1次到第14次的考试成绩依次记为A 1,A 2,…,A 14. 图(2)是统计茎叶图中成绩在一定范围内考试次数的一个算法流程图.那么算法流程图输出的结果是 (A )7 (B )8 (C )9 (D )10(8)变量x ,y 满足约束条件200220x y x y x y +≥⎧⎪-≤⎨⎪-+≥⎩则2z x y =-的最小值等于 (A )52-(B )2- (C )32- (D )2 (9)已知x ,y 的取值如下表,从散点图可以看出y 与x 线性相关,且回归方程为ˆˆ0.95yx a =+,则ˆa= (A )3.25 (B )2.6 (C )2.2 (D )0(10)已知底面为正方形的四棱锥,其一条侧棱垂直于底面,那么该四棱锥的三视图可能是下列各图中的x 0 1 3 4 y2.24.34.86.7CA(11)实数x ,y 满足30300x y x y y m +-≥⎧⎪--≤⎨⎪≤≤⎩,若2z x y =+的最大值为9,则实数m 的值为(A )1 (B )2 (C )3 (D )4(12)在四棱锥S ABCD -中,底面ABCD 是平行四边形,M 、N 分别是SA ,BD 上的点.①若SM DNMA NB =,则//MN SCD 面; ②若SM NBMA DN=,则//MN SCB 面; ③若SDA ABCD ⊥面面,且SDB ABCD ⊥面面, 则SD ABCD ⊥面. 其中正确的命题个数是组距0 50 60 70 80 90 1007x 6x 3x 2x频率 组距(A ) 0 (B )1 (C ) 2 (D )3第II 卷本卷包括必考题和选考题两部分. 第13题~第21题为必考题,每个试题考生都必须作答.第22题~第23题为选考题,考生根据要求作答. 二.填空题:本大题共4小题,每小题5分.(13)100个样本数据的频率分布直方图如右图所示,则样本数据落在[)70,90的频数等于 .(14)如图,长方体ABCD A B C D ''''-被截去一部分,其中''则剩下的几何体是____.(15)在Rt ∆ABC 中,D 为斜边AB 的中点,P 为线段CD 的中点,则222||||||PA PB PC += . (16)已知正数,a b 满足2a b +=,则1411a b +++的最小值为 .三.解答题:解答应写出文字说明,证明过程或演算步骤. (17)(本小题满分12分)某重点中学100位学生在市统考中的理科综合分数,以[160,180),[180,200),[200,220),[220,240),[240,260),[260,280),[280,300]分组的频率分布直方图如图.(Ⅰ)求直方图中x 的值;(Ⅱ)(Ⅲ)在理科综合分数为[220,240),理科综合分数频率 组距0 160 180 200 220 240 260 280 300 0.012 50.01 1 0.009 5 0.0050.002 5 0.002[240,260),[260,280),[280,300]的四组学生中,用分层抽样的方法抽取11名学生,则理科综合分数在[220,240)的学生中应抽取多少人?(18)(本小题满分12分)如图,在四棱锥P ABCD -中,PA ABCD ⊥面,4PA BC ==,2AD =,3AC AB ==,//AD BC ,N 是PC 的中点.(Ⅰ)证明://ND PAB 面; (Ⅱ)求三棱锥N ACD -的体积.(19)(本小题满分12分)某志愿者到某山区小学支教,为了解留守儿童的幸福感,该志愿者对某班40名学生进行了一次幸福指数的调查问卷,并用茎叶图表示如图(注:图中幸福指数低于70,说明孩子幸福感弱;幸福指数不低于70,说明孩子幸福感强).(Ⅰ)根据茎叶图中的数据完成2×2列联表,并判断能否有95%的把握认为孩子的幸福感强与是否是留守儿童有关?幸福感强幸福感弱总计留守儿童 非留守儿童总计(Ⅱ)从15个留守儿童中按幸福感强弱进行分层抽样,共抽取5人,又在这5人中随机抽取2人进行家访,求这2个学生中恰有一人幸福感强的概率.附:22⨯列联表随机变量))()()(()(22d b c a d c b a bc ad n K ++++-=. )(2k K P ≥与k 对应值表:0.15 0.10 0.05 0.025 0.010 0.005)(2k K P ≥NBAD非留守儿童 留守儿童 4 9 0156678953 8234679 860 7 2458 94 6 134 21 5 28 7 4 1 532 3 1 2 4EBDA(20)(本小题满分12分)某玩具生产公司每天计划生产卫兵、骑兵、伞兵这三种玩具共100个,生产一个卫兵需5分钟,生产一个骑兵需7分钟,生产一个伞兵需4分钟,已知总生产时间不超过10小时.若生产一个卫兵可获利润5元,生产一个骑兵可获利润6元,生产一个伞兵可获利润3元.(Ⅰ)试用每天生产的卫兵个数x 与骑兵个数y 表示每天的利润w (元); (Ⅱ)怎样分配生产任务才能使每天的利润最大,最大利润是多少?(21)(本小题满分12分)如图,四棱锥P ABCD -的底面ABCD 是平行四边形,=6PA PB PC ==,90APB BPC CPA ∠=∠=∠=︒,AC BD E =I .(Ⅰ)证明:AC PDB ⊥面;(Ⅱ)在图中作出E 点在面PAB 的投影F , 说明作法及其理由,并求三棱锥D AEF -的体积.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. 做答时,请用2B 铅笔在答题卡上将所选题号后的方框涂黑.(22)(本小题满分10分)选修4-4:坐标系与参数方程已知极坐标系的极点在直角坐标系的原点处,极轴与x 轴非负半轴重合,直线l 的参数方程为:312(12x t t y t ⎧=-+⎪⎪⎨⎪=⎪⎩为参数), 曲线C 的极坐标方程为:4cos ρθ=. (Ⅰ)写出曲线C 的直角坐标方程和直线l 的普通方程; (Ⅱ)设直线l 与曲线C 相交于,P Q 两点, 求PQ 的值.k2.072 2.7063.841 5.024 6.635 7.879(23)(本小题满分10分)选修4—5:不等式选讲设函数()21f x x m x =+++. (Ⅰ)当1m =-,解不等式()3f x ≤; (Ⅱ)求()f x 的最小值.肇庆市中小学教学质量评估 2017届高中毕业班第一次统一检测题文科数学参考答案及评分标准一、选择题二、填空题13.65 14.五棱柱 15.10 16.94三、解答题(17)(本小题满分12分)解:(Ⅰ)由(0.002+0.009 5+0.011+0.012 5+x +0.005+0.002 5)×20=1, (2分) 得x =0.007 5,∴直方图中x 的值为0.007 5. (3分) (Ⅱ)理科综合分数的众数是220+2402=230. (5分)∵(0.002+0.009 5+0.011)×20=0.45<0.5, (6分) ∴理科综合分数的中位数在[220,240)内,设中位数为a ,则(0.002+0.009 5+0.011)×20+0.012 5×(a-220)=0.5, (7分) 解得a =224,即中位数为224. (8分) (Ⅲ) 理科综合分数在[220,240)的学生有0.012 5×20×100=25(位),同理可求理科综合分数为[240,260),[260,280),[280,300]的用户分别有15位、10位、5位, (10分) 故抽取比为1125+15+10+5=15, (11分)∴从理科综合分数在[220,240)的学生中应抽取25×15=5人. (12分)(18)(本小题满分12分)(Ⅰ)证明:如图,取PB 中点M ,连结AM ,MN .MN BCP Q 是△的中位线,∴1//2MN BC . (2分)依题意得,1//2AD BC ,则有//AD MN (3分)∴四边形AMND 是平行四边形, ∴ //ND AM (4分)MNBCADP∵ND PAB ⊄面,AM PAB ⊂面 ∴//ND PAB 面 (6分)(Ⅱ)解:∵N 是PC 的中点,∴N 到面ABCD 的距离等于P 到面ABCD 的距离的一半, 且PA ABCD ⊥面,4PA =,∴三棱锥N ACD -的高是2. (8分) 在等腰ABC ∆中,3AC AB ==,4BC =,BC 边上的高为22325-=. (9分)BC AD //,∴C 到AD 的距离为5 ,∴12552ADC S ∆=⨯⨯=. (11分)所以三棱锥N ACD -的体积是1252533⨯⨯=. (12分)(19)(本小题满分12分) 解:(Ⅰ)列联表如下:幸福感强幸福感弱总计 留守儿童 6 9 15 非留守儿童 18 7 25 总计241640(2分)∴()2240679184 3.84115252416K ⨯⨯-⨯==>⨯⨯⨯, (4分)∴有95%的把握认为孩子的幸福感强与是否是留守儿童有关. (6分) (Ⅰ)按分层抽样的方法可抽出幸福感强的孩子2人,记作:12,a a ;幸福感弱的孩子3人,记作:123,,b b b . (8分)“抽取2人”包含的基本事件有()12,a a ,()11,a b ,()12,a b ,()13,a b ,()21,a b ,()22,a b ,()23,a b ,()12,b b ,()13,b b ,()23,b b 共10个. (9分)事件A :“恰有一人幸福感强”包含的基本事件有()11,a b ,()12,a b ,()13,a b ,()21,a b ,()22,a b ,()23,a b ,共6个. (10分)故()63105P A ==. (12分)(20)(本小题满分12分)解:(Ⅰ)依题意每天生产的伞兵个数为100-x -y , (1分) 所以利润w =5x +6y +3(100-x -y)=2x +3y +300. (2分)(Ⅱ)约束条件为()57410060010000,0,,x y x y x y x y x y N ++--≤⎧⎪--≥⎨⎪≥≥∈⎩(5分)整理得⎩⎪⎨⎪⎧x +3y≤200,x +y≤100,x≥0,y≥0,x ,y ∈N.目标函数为w =2x +3y +300.作出可行域.如图所示: (8分)初始直线0:230l x y +=,平移初始直线经过点A 时,w 有最大值. (9分)由⎩⎪⎨⎪⎧x +3y =200,x +y =100,得⎩⎪⎨⎪⎧x =50,y =50.最优解为A(50,50),所以max 550w = . (11分)所以每天生产卫兵50个,骑兵50个,伞兵0个时利润最大,最大利润为550元. (12分)(21)(本小题满分12分)(Ⅰ)证明:因为PB PA ⊥,PB PC ⊥,PA PC P =I ,所以PB PAC ⊥面. (2分)又因为AC PAC ⊂面,所以PB AC ⊥. (3分) 因为E 是AC 的中点,PA PC =,所以AC PE ⊥. (4分) 又PE PB P =I ,所以AC PDB ⊥面. (5分)(Ⅱ)解:在PAC 面内过E 作EF PA ⊥于F ,则点F 为点E 在面PAB 的投影. (6分)因为PC PA ⊥,PC PB ⊥,PA PB P =I ,所以PC PAB ⊥面. (7分) 又PC PAC ⊂面,所以PAC PAB ⊥面面. (8分) 又PAC PAB PA =I 面面,EF PA ⊥,所以EF PAB ⊥面. (9分) 因E 为AC 的中点,EF //CP ,所以F 是PA 的中点,193322AEF S ∆=⨯⨯=. (10分) EAPF又因为E 是DB 的中点,所以D 到PAC 面的距离等于B 到PAC 面的距离6, (11分) 所以196932D AEF V -=⨯⨯=. (12分) (22)(本小题满分10分) 解:(Ⅰ) 24cos ,4cos ρθρρθ=∴=Q , 由222,cos x y x ρρθ=+=,得224x y x +=,所以曲线C 的直角坐标方程为()2224x y -+=. (2分) 由31212x ty t⎧=-+⎪⎪⎨⎪=⎪⎩,消去t 得:-3+10x y =.所以直线l 的普通方程为-3+10x y =. (4分) (Ⅱ)把 31212x ty t⎧=-+⎪⎪⎨⎪=⎪⎩ 代入224x y x +=,整理得23350t t -+=, (6分)因为272070∆=-=>,设其两根分别为 12,t t ,则121233,5,t t t t +== (8分) 所以()212121247PQ t t t t t t =-=+-=. (10分)(23)(本小题满分10分)解:(Ⅰ)当1m =-时,不等式()3f x ≤ ,可化为1213x x -++≤ .当12x ≤-时,1213,x x -+--≤ ∴1x ≥-,∴112x -≤≤-; (1分)当112x -<<时,1213,x x -+++≤,∴1x ≤,∴112x -<<; (2分)当1x ≥时,1213,x x -++≤∴1x ≤,∴1x =; (3分) 综上所得,11x -≤≤. (4分) (Ⅱ)()112122f x x m x x m x x =+++=+++++ (5分)()1122x m x x ⎛⎫≥+-+++ ⎪⎝⎭ (6分)1122m x =-++,当且仅当()102x m x ⎛⎫++≤ ⎪⎝⎭时等号成立. (7分)又因为111222m x m-++≥-,当且仅当12x=-时,等号成立. (8分)所以,当12x=-时,()f x取得最小值12m-. (10分)。

广东省广州市普通高中2017高考高三数学第一次模拟试题精选:函数01 Word版含答案

广东省广州市普通高中2017高考高三数学第一次模拟试题精选:函数01 Word版含答案

函数011、已知函数()y g x =的图像与函数31x y =+的图像关于直线y x =对称,则(10)g 的值为【答案】2【解析】因为()y g x =的图像与函数31x y =+的图像关于直线y x =对称,则()y g x =与31x y =+互为反函数。

所以由3110x y =+=得39x =,解得2x =,所以(10)2g =。

2、函数)2(log 2-=x y 的定义域为【答案】),3[+∞【解析】要使函数有意义,则有2log (2)0x -≥,即21x -≥,所以3x ≥,即函数)2(log 2-=x y 的定义域为),3[+∞。

3、已知函数241)(+=x x f ,若函数1()2y f x n =++为奇函数,则实数n 为( ) A 12- B 14- C 14 D 0 【答案】B【解析】因为函数1()2y f x n =++为奇函数,所以1(0)02f n ++=,即12111()2442n f =-=-==-+,所以选B 4、函数22log (1)y x =-的定义域为【答案】(1,1)-【解析】要使函数有意义,则有210x ->,即21x <,所以11x -<<。

即函数的定义域为(1,1)-。

5、函数1y =0≥x )的反函数是【答案】2(1)y x =-,(1)x ≥【解析】由1y =2(1)x y =-,所以2'()(1)f x x =-。

当0≥x时,11y =≥,即2'()(1)f x x =-,(1≥x )。

6、已知函数2cos ,11()21,||1x x f x x x π⎧-≤≤⎪=⎨⎪->⎩,则关于x 的方程2()3()20f x f x -+=的实根的个数是___ _.【答案】5【解析】由2()3()20f x f x -+=得()1f x =或()2f x =。

当11x -≤≤时,222xπππ-≤≤,此时0()1f x ≤≤,由()1f x =,得0x =。

广东省仲元中学、中山一中等七校2017届高三第一次联考英语试题及答案

广东省仲元中学、中山一中等七校2017届高三第一次联考英语试题及答案

七校联合体2017届高三第一次联考试卷英语第I卷第二部分阅读理解(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。

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Five species of seals are regularly observed hunting for food on ice. Orcas, humpback, whales and some other sea animals are often seen feeding on the oc ean’s rich picking, adding to the impressive list of marine mammals(海洋哺乳动物). The summer climate is often surprisingly mild with temperatures above freezing and the long hours of daylight mean that wildlife viewing is possible almost any time.We would argu e that it’s impossible to describe the scenery of this continent in a single word, but “breathtaking” comes close! This huge continent lies under the snow and icewhile dramatic mountain ranges are cut through by great glaciers(冰川),forming lots of coastal islands, inlets and waterways. These are filled with ice, big of small glaciers so it is difficult to get to Antarctica by ship. The sculptured shapes and beautiful color of the blue oceans inspire the imagination and provide perfect photographic moments.An expedition voyage to Antarctica is a trip of a lifetime for students and teachers alike. Prices are available on request---- starting from approximately 4500 pounds per person including return flights and voyage. Please contact us to find out more about the travel to Antarctica. Call 01737218807.21. Now Antarctica is not only a land of scientists, but also______________.A. a place where no living things can be seenB. a fantastic continent all the students are interested inC. a good topic for researching geology and plate tectonicsD. an excellent place for students to make discoveries and explorations22. It is possible to view the wildlife in summer almost any time because _________.A. the wild animals come out only in summerB. visitors can view the animals more clearly in summerC. summer offers warm weather and long hours of daylightD. wild animals never sleep during the summer time23. What does the author expect the readers to do according to the last paragraph?A. To save money for the trip to Antarctica.B. To make a better understanding of the company.C. To get in touch with each other to organize their trip.D. To find further information about the trip to Antarctica.BA 9-foot and 7-inch bronze statue titled Giddy-Up, Daddy was set up, in memory of Family Circus creator Bil Keane.Jeff Keane, Bil’s youngest son, who took over work in the Family Circus, used to say,“As long as the family was together, we would be happy. Maybe that was the secret to what mydad did with his cartoon.”He added, “Paradise Valley and Scottsdale were important; we grew up here. My parents used to drive past here constantly. Our parents loved the Arizona life. So, we would get to put a statue here.”The statue came to Scottsdale by way of Paradise Valley on the second anniversary of Keane’s death. He lived in Paradise Valley for more than 50 years, creating his famous comic strips(连环漫画)as well as raising his five children with his wife in their home north of Lincoln Drive.The comic is modeled on his family, featuring characters of childhood innocence:Billy, Dolly, Jeffy and P.J.Former Paradise Valley mayor Ron Clarke, said Bil Keane was always the go-to guy for anything the town needed—from helping create the Mummy Mountain Preserve to using his art to help raise money for Hurricane Katrina victims in Mississippi. “He was always so influential in town,”Clarke said.Bronzesmith gallery director Kathy Reilly said this bronze statue was the first combination of animation(动画)and realism, which shows the emotions of joy, family and love.“We found out how many people’s lives were touched by Bil Keane, not only through his cartoons but also through personal contact he had with so many people,”Reilly said.Bil Keane and his family moved to Paradise Valley in 1958, and two years later, his comic strips began appearing in newspapers across the country.After seeing one of Rick Kirkman’s comic strips, Keane sent a letter to Rick Kirkman, co-creator of the comic strip, stating, “you have a winner.”“Those few words fed us for years, and fueled our enthusiasm and persistence. Never did so few words encourage us so much.”Said Kirkman.24.Where is the statue most probably located?A. In Paradise Valley.B. In Scottsdale.C. In Lincoln Drive.D. In Mummy Mountain Preserve.25.What do we know about Bil Keane’s comic strips?A. They are based on the Arizona life.B. They are modeled on five children.C. They began to come out in newspaper in 1960.D. They were the combination of animation and realism.26. What information can we get about the statue?A. It is 9-foot and 7-inch in height.B. It was built at the request of comic fans.C. It was set up immediately after Bil Keane died.D. It travelled many places before it was located.27.How did Kirkman feel on hearing “you have a winner”?A. He couldn’t hide his envy of Bil.B. He was fed up with the behavior of Bil.C. He felt more enthusiastic and determined.D. He was pleased with his works and himself.CJOHANNESBURG—They say cats have nine lives. Now a Chinese toad(蟾蜍) has joined that club of clever survivors.South Africans are shocked at the endurance of a toad that got trapped in a cargo shipment from China to Cape Town, after jumping into a porcelain(瓷器) candlestick(烛台) that was made there. South African officials reportedly planned to put down the creature, fearing it would cause harm as an invasive species if it were let go in the wild.But the toad got a last-minute pardon. Mango Airlines, a South African airline, transported the toad on Friday to Johannesburg for delivery to an animal shelter, after officials decided to find a way to let the toad live. The two-hour fight was a breeze compared to the trip from China, a long way of many weeks and thousands of kilometers across the Indian Ocean.Airline spokesman Hein Kaiser said the toad got “first-class treatment”, sitting in a transparent plastic container with escort Brett Glasby, an animal welfare inspector. There was even a ceremony, in which the toad’s boarding pass was hand ed to Glasby.“He was the star of the show on the flight,” Kaiser said of the amphibious(两栖的) passenger. “I think every passenger stopped to have a look.”On landing in Johannesburg, the toad was brought out of its container for a celebrity-style photo shoot. Observers said the brown toad seemed like a cool customer. It belongs to the Asian Toad species, which breeds during the monsoon(季风) season. It is believed to have survived the trip from China by hardening its skin to prevent it from drying out, and also by slowing its breathing and heart rate—methods that help the species survive in times of drought.“We’ve had snakes in imported timber and scorpions(蝎子) in fruit. We were called because the toad was right inside the candlestick, and we had to break it to get it out” Glasby, the inspector, told The Star, a South African newspaper.28. What is the passage mainly about?A. An Asian toad gets a new home in South Africa.B. Asian toads can’t get used to the life in South Africa.C. Workers shipped a toad to South Africa on purpose.D. South Africa ignores the protection of animals.29. If the toad is released into the wild, _________.A. it will make the locals feel shockedB. it might harm the native speciesC. it will lose its life in the wildD. it might flee into another country30. The toad was able to arrive in South Africa alive_________.A. because it escaped all attacks and huntsB. because it used to stop its breath in winterC. because it formed hard skin to protect itselfD. because it was lucky to be given a chance31. It can be inferred from the passage that_________.A. sometimes animal are transported accidentallyB. no one has seen such a big toad in AfricaC. a candlestick is the best place for a toadD. droughts make toads live longerDThe speaker, a teacher from a community college, addressed a sympathetic audience. Heads nodded in agreement when he said, “High school English teachers are not doing their jobs.” He described the inadequacies of his students, all high school graduates who can use language only at a grade 9 level. I was unable to determine from his answers to my questions how this grade 9 level had been established.My topic is not standards nor its decline. What the speaker was really saying is that he is not longer young; he has been teaching for sixteen years, and is able to think and speak like a mature adult.My point is that frequent complaint of one generation about the one immediately following it is inevitable. It is also human nature to look for the reasons for our dissatisfaction. Before English became a school subject in the late nineteenth century, it was difficult to find the target of the blame for language deficiencies. But since then, English teachers have been under constant attack.The complainers think they have hit upon an original idea. As their own command of the language improves, they notice that young people do not have this same ability. Unaware that their own ability has developed through the years, they assume the new generation of young people must be hopeless in this respect. To the eyes and ears of sensitive adults the language of the young always seems inadequate.Since this concern about the decline and fall of the English language is not perceived as a generational phenomeno n but rather as something new and peculiar to today’s young people, it naturally follows that today’s English teachers cannot be doing their jobs. Otherwise, young people would not commit offenses against the language.32. The speaker mentioned in the passage believed that_____.A. the language of the younger generation is usually inferior to that of the oldergenerationB.the students had a poor command of English because they didn’t work hard enoughC.he was an excellent language teacher because he had been teaching English for sixteenyearsD.English teachers should be held responsible for the students’ poor command of English33. In the author’s opinion, the speaker______.A. could think and speak intelligentlyB. had exaggerated the language problems of the studentsC. gave a correct judgment of the English level of the studentsD. was right in saying that English teachers were not doing their jobs34. The author’s attitude towards the speaker’s remarks is ____.A. neutralB. positiveC. criticalD. compromising35. In the passage the author argues that_____.A. to eliminate language deficiencies one must have sensitive eyes and earsB.to improve the standard of English requires the effort of several generationsC.it is by no means fair to blame the English teachers for the language deficienciesof the studentsD.young people would not commit offences against the language if the teachers did theirjobs properly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。

广东省深圳市富源学校2017届高三第一次考试数学(理)试题Word版含答案

广东省深圳市富源学校2017届高三第一次考试数学(理)试题Word版含答案

广东省深圳市富源学校2017届高三第一次考试(理)本试卷分第Ⅰ卷(选择题)和第Ⅱ卷(非选择题)两部分,共150分。

考试时间120分钟。

第Ⅰ卷(选择题 共60分)注意事项:1.答卷Ⅰ前,考生将自己的姓名、准考证号、考试科目涂写在答题卡上。

2.答卷Ⅰ时,每小题选出答案后,用铅笔把答题卡上对应题目的答案标号涂黑。

一、选择题(每小题5分,共60分。

下列每小题所给选项只有一项符合题意,请将正确答案的序号填涂在答题卡上) 1.复数512i-(i 为虚数单位)的虚部是( ) A .2i B .2i - C .2- D .22.已知集合{|A x y ==,2{|20}B x x x =-<,则A ∩B =( ) A .(0,2] B .(0,2) C .(,2]-∞ D .(2,)+∞3.下列函数在其定义域上既是奇函数又是减函数的是( ) A .()2x f x = B .()sin f x x x =C .1()f x x =D .()||f x x x =-4.设双曲线2214y x -=上的点P 到点的距离为6,则P 点到(0,的距离是( ) A .2或10 B .10C .2D .4或85.下列有关命题说法正确的是( ) A . 命题p :“sin +cos =x x x ∃∈R ,,则⌝p 是真命题B .21560x x x =---=“”是“”的必要不充分条件 C .命题2,10x x x ∃∈++<R “使得”的否定是:“210x x x ∀∈++<R ,” D .“1>a ”是“()log (01)(0)a f x x a a =>≠+∞,在,上为增函数”的充要条件6.已知函数()2,1,1,1,1x x x f x x x⎧-≤⎪=⎨>⎪-⎩则()()2f f -的值为( )A .12 B .15C .15-D .12-7.2015年高中生技能大赛中三所学校分别有3名、2名、1名学生获奖,这6名学生要排成一排合影,则同校学生排在一起的概率是( )A .130 B .115C .110D .158.执行如图8的程序框图,若输出S 的值是12,则a 的值可以为( )A .2014B .2015C .2016D .20179.若nx x ⎪⎭⎫ ⎝⎛-321的展开式中存在常数项,则n 可以为( ) A .8 B .9 C .10 D .1110.一个几何体的三视图如图所示,则该几何体的表面积为( )A .3πB .4πC .24π+D .34π+11.=∠=⋅==∆C B ABC 则中在,60,68( ) A .︒60 B .︒30 C .︒150D .︒120 12.形如)0,0(||>>-=b c cx by 的函数因其图像类似于汉字中的“囧”字,故我们把其生动地称为“囧函数”.若函数2()log (1)a f x x x =++)1,0(≠>a a 有最小值,则当,c b 的值分别为方程222220x y x y +--+=中的,x y 时的“囧函数”与函数||log x y a =的图像交点个数为( ) A .1 B .2 C .4 D .6二、填空题(每题4分,共20分。

广东省广州市普通高中2017高考高三数学第一次模拟试题精选:数列07 含答案

广东省广州市普通高中2017高考高三数学第一次模拟试题精选:数列07 含答案

数列0714、数列{}n a 的前n 项和记为n S ,且满足21n n S a =-(1)求数列{}n a 的通项公式;(2)求和:0121231n n n n n nS C S C S C S C +++++ ;(3)设有m 项的数列{}n b 是连续的正整数数列,并且满足:()212111lg 2lg 1lg 1lg 1lg log m m a b b b ⎛⎫⎛⎫⎛⎫+++++++= ⎪ ⎪ ⎪⎝⎭⎝⎭⎝⎭试问数列{}n b 最多有几项?并求这些项的和.【答案】解:(1)由12-=n n a S 得1211-=++n n a S ,相减得n n n a a a 2211-=++,即n n a a 21=+. 又1211-=a S ,得011≠=a ,∴数列{}n a 是以1为首项2为公比的等比数列,∴12-=n n a . ………………………………………………5分(2)由(1)知12-=n n S .∴n n n n n n n n n n n n C C C C C S C S C S C S ⋅-+⋅-+⋅-+⋅-=⋅++⋅+⋅+⋅++)12()12()12()12(12312011231201 n n n n n n n n n n n n n n n C C C C C C C C 2322)21(2)()222(22102210-⋅=-+=++++-++++=………………………………………………10分(3)由已知得111122211-=+⋅⋅+⋅+⋅m b b b b b b mm . 又{}n b 是连续的正整数数列,∴11+=-n n b b .∴上式化为1)1(21-=+m b b m .…… 又)1(1-+=m b b m ,消m b 得02311=--m b mb .26323111-+=-=b b b m ,由于*∈N m ,∴21>b ,∴31=b 时,m 的最大值为9. 此时数列的所有项的和为6311543=++++ ……………………16分15、已知数列{a n }满足761-=a ,12110n n a a a a +++++-λ= (其中λ≠0且λ≠–1,n ∈N*),n S 为数列{a n }的前n 项和.(1) 若3122a a a ⋅=,求λ的值;(2) 求数列{a n }的通项公式n a ;(3) 当13λ=时,数列{a n }中是否存在三项构成等差数列,若存在,请求出此三项;若不存在,请说明理由.【答案】(1) 令1=n ,得到λ712=a ,令2=n ,得到237171λλ+=a 。

广东省广州市普通高中2017高考高三数学第一次模拟试题精选:三角函数01 含答案

广东省广州市普通高中2017高考高三数学第一次模拟试题精选:三角函数01 含答案

三角函数011、已知函数)722sin(21)(π+=ax x f 的最小正周期为π4,则正实数a = 【答案】41=a 【 解析】因为2a ω=,且函数的最小正周期为π4,所以2242T a πππω===,所以41=a 。

2、函数()2sin()cos()44f x x x ππ=++的最小正周期为【答案】π【 解析】由()2sin()cos()44f x x x ππ=++得()sin 2()sin(2)cos 242f x x x x ππ=+=+=,所以周期2T ππω==。

3、已知△ABC 两内角A 、B 的对边边长分别为a 、b , 则“B A =”是“co s c o s a A b B = ”的( )A 充分非必要条件B 必要非充分条件C 充要条件D 非充分非必要条件 【答案】A【解析】由cos cos a A b B =得sin cos sin cos A A B B =,即si n 2s i n 2A B =,所以22A B=或22A B π=-,即A B =或2A B π+=,所以“B A =”是“cos cos a A b B = ”的充分非必要条件,选A4、函数x x y 2cos 2sin +=的最小正周期=T 【答案】π【解析】sin 2cos 2)4y x x x π=+=+,所以2ω=,即函数的最小周期为222T πππω===。

5、若函数)2sin()(ϕ+=x A x f (0>A ,22πϕπ<<-)的部分图像如右图,则=)0(f【答案】1-【解析】由图象可知2,()23A f π==,即()2s i n (2)233f ππϕ=⨯+=,所以2sin()13πϕ+=,即2,32k k Z ππϕπ+=+∈,所以,6k k Z πϕπ=-+∈,因为22πϕπ<<-,所以当0k =时,6πϕ=-,所以()2sin(2)6f x x π=-,即1(0)2sin()2()162f π=-=⨯-=-。

广东省广州市普通高中2017高考高三数学第一次模拟试题精选:圆锥曲线01 含答案

圆锥曲线011、双曲线17922=-+-λλy x (97<<λ)的焦点坐标为…… ……( ) (A ))0,4(± (B ))0,2(± (C ))4,0(± (D ))2,0(± 【答案】B【解析】因为97<<λ,所以90λ->,70λ-<,即22197x y λλ+=--为22197x y λλ-=--,所以双曲线的焦点在x 轴上,所以2972c λλ=-+-=,即c =,所以焦点坐标为(,选B2、若1F 、2F 是椭圆2214x y +=的左、右两个焦点,M 是椭圆上的动点,则2111MF MF +的最小值为 【答案】1【解析】根据椭圆的方程可知224,1a b ==,所以222413c a b =-=-=,所以2c a =。

设1,M F x =a c x a -≤≤+,即23x ≤≤,所以224MF a x x =-=-,所以21211114444(4)(4)(2)4x x MF MF x x x x x x x -++=+===-----+,因为22x ≤≤+,所以当2x =时,24(2)4x --+有最小值414=,即212114(2)4MF MF x +=--+的最小值为13、抛物线22x y =的焦点坐标是_______________.【答案】)81,0(【解析】抛物线的标准方程为212x y =,所以焦点在y 轴,且112,24p p ==,所以焦点坐标为)81,0(。

4、设双曲线)0,0(12222>>=-b a by a x 的虚轴长为2,焦距为32,则双曲线的渐近线方程为……v ………………( ).A x y 2±= .B x y 2±=C x y 21±=D x y 22±=【答案】D【 解析】由题意知22,2b c ==1,b c ==a ==,所以双曲线的渐近线方程为b y x x x a =±==,选D5、抛物线的焦点为椭圆14522=+y x 的右焦点,顶点在椭圆中心,则抛物线方程为 ▲ . 【答案】24yx =【 解析】由椭圆方程可知225,4a b ==,所以222541c a b =-=-=,即1c =,所以椭圆的右焦点为(1,0),因为抛物线的焦点为椭圆的右焦点,所以12p=,所以2p =。

广东省广州市普通高中2017高考高三数学第一次模拟试题精选:数列02 Word版含答案

数列0211、数列{}n a 满足121a a ==,122cos()3n n n n a a a n N π*++++=∈,若数列{}n a 的前n 项和为n S ,则2013S 的值为 [答] ( ) (A )2013 (B )671 (C )671- (D )6712- 【答案】D 【解析】因为3231332321322n n n n n n a a a a a a ----+-+++=++,所以3231332n n n nn n a a a aa a ----+-+++=++2(32)441c o s co s (2)c o s ()3332n n ππππ-==-=-=-,所以20131231671671()671()22S a a a =⨯++=⨯-=-,选D12、等差数列{}n a 的前n 项和为n S ,若211210,38m m m m a a a S -+-+-==,则m =_______【答案】10【 解析】由2110m m m a a a -++-=得220m m a a -=,即0m a =(舍去)或2m a =又21(21)2(21)38m m S m a m -=-=-=,所以解得10m =。

13、数列{}n a 满足()*,21,2n k n n k a k N a n k=-⎧=∈⎨=⎩,设()12212n n f n a a a a -=++++,则()()20132012f f-=( )A 20122B 20132C 20124D 20134【答案】C【 解析】2013201321221)2013(a a a a f ++++=- (都有222013项))()(201320132421231a a a a a a +++++++=-)()]12(31[20122212013a a a ++++-+++= )2012(2201221212013f +⋅=-+=()2012()2(22012f +=()2012(42012f +⇒20124)2012()2013(=-f f ,所以选C14、在等差数列}{n a 中,101-=a ,从第9项开始为正数,则公差d 的取值范围是___________ 【答案】510(,]47【 解析】由题意知8900a a ≤⎧⎨>⎩,即117080a d a d +≤⎧⎨+>⎩,所以10701080d d -+≤⎧⎨-+>⎩,解得10754d d ⎧≤⎪⎪⎨⎪>⎪⎩,所以51047d <≤,即公差d 的取值范围是510(,]47。

2020届广东省佛山市2017级高三第一次教学质量检测数学(文)试卷及解析

2020届广东省佛山市2017级高三第一次教学质量检测数学(文)试卷★祝考试顺利★(解析版)第Ⅰ卷(选择题共60分)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.在复平面内,复数512i -对应的点位于( ) A. 第一象限B. 第二象限C. 第三象限D. 第四象限【答案】A【解析】直接利用复数代数形式的乘除运算化简得答案. 【详解】解:()()()512512121212i i i i i +==+--+Q , ∴在复平面内,复数512i-对应的点的坐标为(1,2),位于第一象限. 故选:A .2.已知集合{}2|20A x x x =-<,{}|11B x x =-<<,则A B =I ( )A. ()1,1-B. ()1,2-C. ()1,0-D. ()0,1【答案】D【解析】 解二次不等式可求得A ,再根据交集的定义求解即可.【详解】解:解二次不等式220x x -<,得02x <<,所以集合()0,2A =,又()1,1B =-,所以()0,1A B =I ,故选:D .3.已知,x y ∈R ,且0x y >>,则( )A. cos cos 0x y ->B. cos cos 0x y +>C. ln ln 0x y ->D. ln ln 0x y +>【答案】C【解析】举反例说明A,B,D 错误,再根据单调性证明C 成立.【详解】当320x y ππ=>=>时cos 11cos x y =-<=;当320x y ππ=>=>时cos cos 110x y +=-+=; 当110x y e =>=>时ln ln 10x y +=-<;因为函数()ln f x x =在()0,∞+上单调递增,且0x y >>,所以()()f x f y >,即ln ln x y >,即ln ln 0x y ->.故选:C4.函数()f x 的图像向右平移一个单位长度,所得图像与x y e =关于x 轴对称,则()f x =() A. 1e x -- B. 1e x +- C. 1e x --- D. 1e x -+-【答案】B【解析】根据题意得出x y e =,关于x 轴对称,再向左平移1个单位即可,运用规律求解得出解析式.【详解】解:x y e =关于x 轴对称得出x y e =-,把x y e =-的图象向左平移1个单位长度得出1x y e +=-,1()x f x e +∴=-,故选:B .5.已知函数()(()2ln f x x x a =+∈R 为奇函数,则a =( )A. -1B. 0C. 1【答案】C【解析】。

2017届高三第一次五校联考-英语答题卡


请勿在框线外作答
2017 届-广东省五校协作体-第一次联考-英语答题卡 第 1 页/共 2 页 请勿在框线外
Last month, I, as well as my parents, were invited to my uncle’s home in the United States. My uncle, moved to America when I was five, has been living there for nearly ten years. She met us in the airport. I was exciting when I set my foot on the land of America. In the followed days, we visited some places of interest and took photos in the front of the Statue of Liberty. We all enjoyed visiting the Museum of Natural History so it enriched our knowledge great. For me, this is one of the most rewarding trips which I have ever made in my life and I look forward to go there again.
作文(25 分)
Dear Mr./Ms. Wang,
_______________________________________________________________________________________________ _______________________________________________________________________________________________ _______________________________________________________________________________________________ _______________________________________________________________________________________________ _______________________________________________________________________________________________ _______________________________________________________________________________________________ _______________________________________________________________________________________________ _______________________________________________________________________________________________ _______________________________________________________________________________________________ _______________________________________________________________________________________________ _______________________________________________________________________________________________ _______________________________________________________________________________________________ _______________________________________________________________________________________________ _______________________________________________________________________________________________
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广东省五校协作体2017届高三第一次联考试卷
文科综合
文综组卷真光中学何伟英
地理命题学校: 阳春一中命题:苏伟双审题:温云云
政治命题学校:真光中学命题:余莉审题:靳风彩
历史命题学校:珠海二中命题人:杨国审题人:曹立群
2016.12
第Ⅰ卷
本卷共35小题,每小题4分,共140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。

读东亚部分地区某时刻地面等压线图(单位:百帕)(图1),回答1~3题。

1.此时,哈尔滨的风向是
A.东南风 B.东北风 C.西南风 D.西北风
2.与乙地相比,甲地该日
A.日较差较大 B.云量较大 C.降水较多 D.气温较高
3.此时,最有可能出现降水的地区是
A.呼和浩特 B.昆明 C.广州 D.上海
农业生产具有地域性、季节性和周期性的特征,二十四节气是我国独有的农业物候历,是我国优秀传统文化之一,白露节气在每年公历9月7、8日左右。

据此回答4~5题。

4.二十四节气可以指导农业生产,如在山东、河南一带种植冬小麦是“秋分早,霜降迟,寒露种麦正当时”,但向北到北京一带是“白露早,寒露迟,秋分种麦正当时”,那么向南到江苏、安徽等江淮地区“种麦正当时”是
A.秋分 B.寒露 C.霜降 D.白露
5.地球绕太阳运动一周为360°,顺地球公转方向,以春分日地球在黄道上的位置为0°,则白露日地球在黄道上的位置约为
A.105° B.165° C.195° D.285°
下图示意长江口部分沙岛群演变过程。

读图2完成6~8题。

6.1880~1945年,①、②、③、④四处侵蚀速率大于堆积速率的是
A.① B.② C.③ D.④
7.据河口沙岛群的空间演变趋势,推测长江河口地区一百多年来
A.河口不断拓宽,河道不断变深 B.海水侵蚀作用大于河流堆积作用
C.北航道航行条件始终好于南航道 D.海平面上升速率小于泥沙沉积速率
8.近年来长江口水下沙洲淤积速度变慢,其原因可能是流域内
A.毁林开荒 B.围湖造田 C.植被覆盖率提高 D.降水增多
干旱河谷上游地区的小叶灌丛与落叶阔叶林的混合交错带称为林树下线。

某河流上游山地植被垂直带谱为亚热带常绿阔叶林—干旱河谷小叶灌丛—温带落叶阔叶林—针阔叶混交林—云杉、冷杉林—高山灌丛、草甸。

图3中左图是该河流上游河谷林树下线海拔与坡向的关系及变化示意图,右图是该河流上游河谷聚落区与非聚落区坡度与林树下线最大海拔关系图。

读图回答9~11题。

图3
9.该地下列四个坡向中,水分条件最差的坡向是
A.东南坡 B.东北坡 C.西南坡 D.西北坡
10.该地林树下线的海拔
A.随坡度增加而降低 B.随坡度增加而升高 C.聚落区较高 D.非聚落区较高11.1999~2009年,该地林树下线变化的主要人为原因是
A.森林火灾 B.毁林开荒 C.修建梯田 D.封山育林
第Ⅱ卷
本卷包括必考题和选考题两部分。

共11题,共160分。

第36~41题为必考题,每个试题考生都必须作答。

第42~48为选考题,考生根据要求作答。

36.(24分)阅读图文资料,回答下列问题。

材料一 A湖是委内瑞拉的石油湖,面积达14000多平方千米,深1500多米,蕴藏着50多亿桶原油,每天原油源源不断地从湖底岩石裂缝中喷涌出来,日产量高达二百万桶。

该地区除北部委内瑞拉湾沿岸气候干热,年降水量不足500毫米外,A湖湖区大部分高温多雨,年平均气温28℃,年降水量1500毫米以上,为南美洲最湿热地区之一。

材料二下图示意A湖周围等高线分布。

(1)推断A湖的成因,并指出推断的依据。

(6分)
(2)分析该地区降水总体上北多南少的原因。

(8分)
(3)A湖虽然与加勒比海连通但却是淡水湖,试分析原因。

(4分)
(4)你是否赞同在A湖大力发展石油开采业?说明理由。

(6分)
37.(22分)阅读图文资料,完成下列要求。

赛里木湖和艾比湖位于新疆西北部,艾比湖的盐度比赛里木湖的盐度高。

赛里木湖湖面海拔2071.9米,1998年在该湖投放了原产于俄罗斯50°N以北河流或湖泊中的高白鲑鱼等冷水鱼。

艾比湖湖面海拔189米,近几十年来该流域新增了大量耕地,湖面面积缩小了一半。

沙泉子一带铁路线常被风沙掩埋,威胁列车运行安全。

下图是赛里木湖、艾比湖区域位置示意图。

(1)将高白鲑鱼投放到赛里木湖而没有投放到艾比湖,分析其合理性。

(10分)
(2)分析沙泉子一带铁路常被风沙掩埋的主要沙源。

(6分)
(3)说出艾比湖面积的变化对区域气候的影响。

(6分)
42.【地理——旅游地理】(10分)
香格里拉地区的主要部分位于青藏高原向川西台地和云贵高原过渡地带,地处四川、云南、西藏三省的交界地区,为藏族聚居地。

2003年,以香格里拉为核心的“云南三江并流保护区”以举世无双的自然风光、罕见的生物多样性和各具特色的民族文化被联合国教科文组织列入《世界遗产名录》。

至今,这里接待中外游客近千万人次。

指出在香格里拉旅游时应注意的事项。

43.【地理——环境保护】(10分)
山区道路建设中常因边坡深挖、隧洞建设产生大量弃渣,需要合理选择弃渣场,并采取有效的防护措施。

下图示意太行山区和顺至邢台铁路工程建设中某弃渣场防护措施布局。

简述该处弃渣场为防止水土流失所采取的措施,并说明原因。

地理答案
1~11 CABCB ADCAD D
36.
(1)地壳断裂下陷,积水而成。

(2分)从等高线图中判断A湖与周围相比落差大,地势低;(2分)湖底多裂缝推断处于断层陷落。

(2分)
(2)该地地处东北信风带(2分),由于北部地区(委内瑞拉湾)地形平坦,受地形抬升较小,降水较少;(2分)南部地区纬度较低,受赤道低气压带控制明显,气流上升,降水较多(2分)南部海拔高受地形抬升明显,降水多。

(2分)(补充答案:湖泊面积大,蒸发旺盛,水汽多)
(3)入湖河流多,流入淡水水量大(2分);与加勒比海连接的水道狭窄,不便于海水和湖水的交换(2分)。

(4)赞成。

理由:石油资源丰富,市场需求大;(2分)将资源优势转化为经济优势,促进经济发展;(2分)增加就业,提高经济收入等。

(2分)
或不赞成。

理由:石油开采易产生石油泄漏,引发湖泊环境污染,湖水水质下降;(2分)并且导致湖泊生态破坏,生物多样性减少,渔业减产;(2分)环境质量下降,可能对当地旅游业等造成冲击等。

(2分)
(观点不给分,后面每点2分,不表明观点作答给0分)
37.(1)高白鲑鱼原产于高纬度湖水或河水中,(2分)适应盐度较低,水温较低(2分)的环境,赛里木湖符合低盐度、低水温的环境(2分),山地湖泊,污染较小。

艾比湖位于新疆内陆地区,地势降低,夏季气温高,(2分)蒸发量大,盐度高,(2分)不满足高白鲑的生存条件。

(2)河水补给和入湖水量较少的季节,干涸的河湖底部裸露,增加沙源;(2分)耕地面积扩大,土地沙化加重,增加沙源;(2分)湖区周围植被破坏严重,地表裸露,增加沙源。

(2分)
(3)湖区周围温差加大;(2分)降水减少,降水季节变化和年际变化增大,蒸发加剧,干旱程度加重,沙尘暴天气增多。

(4分)
42.
海拔高、缺氧,易发高原反应;昼夜温差大,注意防寒保暖;太阳辐射强,注意防晒;尊重藏族风俗习惯;保护好少数民族文化景观;不能乱扔垃圾,避免污染旅游环境。

(每点2分,满分10分)
43.
渣场修建挡渣墙,原因:渣土疏松易流失,修建挡渣墙可增加渣土堆积量和稳定性;(3分) 渣顶栽植灌草绿化,原因:利于提高拦渣效率;(3分)
渣面(场)临坡侧设置截(排)水沟和沉砂池,原因:渣顶栽植灌草该弃渣场位于沟谷,雨季(特别是暴雨)地表水汇集易引发山洪,需要修建截水沟排水。

(4分)。

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