2016届甘肃省河西部分高中(张掖中学、嘉峪关一中、山丹一中)高三上学期期中联考数学(理)试题
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甘肃省河西部分高中(张掖中学、嘉峪关一中、山丹一中)2016届高三上学期期中联考生物试卷命题学校:张掖中学命题教师:宋庆雄杨天军注:本试卷分第I卷(选择题)和第II卷(非选择题),满分100分,考试用时100分钟第I卷(选择题,共50分)一、选择题(25小题,每题2分,共50分)1.黑藻和蓝藻都是藻类,都能进行光合作用,但它们在细胞结构上存在的根本区别是A.是否有细胞膜B.是否有核膜C.是否有核糖体D.是否有DNA2.下列物质中同时含有磷和氮元素的是A.氨基酸 B.丙酮酸 C.核苷酸 D.脂肪酸3.关于蛋白质的叙述,错误的是A.有些蛋白质是染色体的组成成分 B. 低温会使蛋白质变性,失去其原有功能C.蛋白质可与双缩脲试剂产生紫色反应 D. 酶在催化反应前后,其分子结构不变4.下列关于生物体内化合物的说法不正确的是A.糖类是细胞内唯一的能源物质B.脂肪是既能贮存能量又具有保温作用的物质C.无机盐离子可以维持细胞的酸碱平衡D.核酸是细胞内携带遗传信息的物质5.叶绿体和线粒体是真核细胞中重要的细胞结构,下列有关叙述,错误的是A.二者均为双层膜的细胞器,内有增大膜面积的结构B.二者均含有DNA分子,控制一定的性状C.含有叶绿体的细胞通常含有线粒体,含有线粒体的细胞不一定含有叶绿体D.叶绿体内能够通过光合作用合成葡萄糖,线粒体内可以通过有氧呼吸分解葡萄糖6.下列过程不涉及细胞间信息交流的是A.高等植物细胞间依靠胞间连丝交换某些物质B.甲状腺激素的反馈调节C.兴奋在神经元间的传递D.抗体和抗原的特异性结合7.组成淀粉、淀粉酶、控制淀粉酶合成的RNA、控制淀粉酶合成的基因的单体分别是A.葡萄糖、氨基酸、核糖核苷酸、脱氧核苷酸B.单糖、氨基酸、核糖核苷酸、脱氧核苷酸C.果糖、氨基酸、核糖核苷酸、脱氧核苷酸D.葡萄糖、氨基酸、脱氧核苷酸、核糖核苷酸8.下列各组化合物中一定都含有肽键的是A.载体和激素 B.抗体和酶C.载体和抗体 D.神经递质和激素9.关于DNA和RNA的叙述,正确的是A.原核细胞中既有DNA,也有RNAB.一种病毒同时含有DNA和RNAC.DNA中有碱基配对,RNA中不可能存在碱基配对现象D.真核生物的遗传物质是DNA,原核生物的遗传物质是RNA10.关于细胞膜结构和功能的叙述,错误的是A.组成细胞膜的主要成分是蛋白质和脂质B.细胞分化过程中细胞膜的结构和功能会发生一定改变C.细胞膜的选择透过性只与膜上载体的种类有关D.细胞膜上的糖蛋白在实现细胞间的信息传递中发挥着重要作用11.下列有关细胞器的叙述,正确的是A.溶酶体能合成水解酶用于分解衰老的细胞器B.叶绿体中基粒和类囊体扩展了捕获光能的膜面积C.液泡内细胞液的浓度升高导致植物细胞质壁分离D.中心体在动物细胞有丝分裂的前期完成倍增12.细胞中不能合成ATP的部位是A.细胞质基质 B.线粒体内膜C.叶绿体中进行光反应的膜结构 D.内质网膜13.关于物质跨膜运输的叙述,正确的是A.植物根细胞呼吸作用的强度影响其对矿质元素离子吸收的选择性B.低温不影响植物根细胞对矿质元素离子的吸收C.植物叶肉细胞不能以主动运输方式吸收矿质元素离子D.肾小管上皮细胞重吸收葡萄糖时需要消耗ATP14.下列生理活动与细胞膜的流动性基本无关的是A.甲状腺分泌甲状腺激素 B.渗透作用C.吞噬细胞吞噬抗原 D.突触前膜释放递质15.关于叶绿素的叙述,错误的是A.叶绿素a和叶绿素b都含有镁元素B. 叶绿素a和叶绿素b都能够溶解在有机溶剂无水乙醇C. 叶绿素能有效地吸收绿光使叶片呈现绿色D.被叶绿素吸收的光可用于光合作用的光反应16.下列有关生物体的体细胞不能无限长大的原因的叙述,错误的是A.细胞表面积与体积的关系限制了细胞的长大B.受细胞所容纳的物质制约C.细胞较小,相对表面积大,有利于物质的迅速转运和交换D.受细胞核所控制的范围大小的制约17.有关动物细胞有丝分裂的叙述,正确的是A.在分裂中期,中心粒复制形成两组中心粒B.在分裂末期,细胞膜内陷形成两个子细胞C.细胞板在细胞有丝分裂末期形成D.同源染色体配对通常发生在分裂前期18.二倍体生物细胞正在进行着丝点分裂时,下列有关叙述正确的是A. 染色体DNA一定是由母链和子链组成的双链结构B.着丝点分裂一定导致DNA数目加倍C.细胞中染色体数目一定是其体细胞的2倍D.细胞中一定不存在同源染色体19.同一个动物个体的肌细胞和神经细胞在功能上不同,造成这种差异的主要原因是A.二者所处的细胞周期不同 B.二者合成的特定蛋白质不同C.二者所含的基因组不同 D.二者核DNA的复制方式不同20.下列事实能体现体细胞全能型的是A.诱导小鼠肝细胞分化成多种组织细胞B.小麦的种子萌发长成幼苗C.小麦花粉经离体培养发育成单倍体植株D.棉花根尖细胞经诱导形成幼苗21.动物的受精卵发育成胚胎的过程中,下列行为在细胞内不能发生的是A.基因的选择性表达 B.DNA的半保留复制C.同源染色体的分离 D.姐妹染色单体的分开22.关于细胞凋亡的叙述,错误的是A.被病原体感染的细胞可通过细胞凋亡清除B.细胞凋亡也称细胞编程性死亡C.细胞凋亡不会出现在胚胎发育过程中D.细胞凋亡受细胞自身基因的调控23.对多细胞生物而言,有关细胞生命历程的叙述中,正确的是A.细胞分化导致基因选择性表达,细胞种类增加B.衰老细胞内染色体固缩影响DNA的活动C.细胞主要通过原癌基因阻止异常增殖D.细胞凋亡的发生是因为基因不再表达24.“假说—演绎法”是现代科学研究中常用的方法,孟德尔利用该方法发现了两大遗传规律。
2015-2016学年第一学期高三期中联考试卷数学(文科)命题学校:张掖中学 命题教师:朱云霞 钱守忠注:本试卷分第Ⅰ卷(选择题)和第Ⅱ卷(非选择题),满分150分,考试时间120分钟。
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.已知集合{}|12A x x =-<<,{}|03B x x =<<,则AB =A .()1,3-B .()1,0-C .()0,2D .()2,3 2.设命题2:,2np n N n ∃∈>,则p ⌝为A .2,2nn N n ∀∈> B .2,2nn N n ∃∈≤ C .2,2nn N n ∀∈≤ D .2,2nn N n ∃∈= 3.下列函数中,既不是奇函数,也不是偶函数的是 A .21x y += B .x x y 1+= C .x x y 212+= D .x e x y += 4.0000sin 20cos10cos160sin10-=A .BC .12-D .125.设x R ∈ ,则“21x -< ”是“220x x +-> ”的 A .充分不必要条件 B .必要不充分条件C .充要条件D .既不充分也不必要条件 6.若0≠xy ,那么等式y xy y x 2432-=成立的条件是A .0,0>>y xB .0,0<>y xC .0,0><y xD .0,0<<y x 7.函数34x y =的图象是A .B .C .D .8.函数)12(log 21-=x y 的定义域为A .1,+2⎛⎫∞⎪⎝⎭ B .[)1+∞, C .112⎛⎤⎥⎝⎦,D .()-,1∞9.已知函数cos y x x ωω=+(0)ω>的图象与直线2y =的两个相邻交点的距离等于π,则()f x 的单调递增区间是 A .5,1212k k ππππ⎡⎤-+⎢⎥⎣⎦,k Z ∈ B .511,1212k k ππππ⎡⎤++⎢⎥⎣⎦,k Z ∈ C .,36k k ππππ⎡⎤-+⎢⎥⎣⎦,k Z ∈ D .2,63k k ππππ⎡⎤++⎢⎥⎣⎦,k Z ∈ 10.若函数)34(log )(22++=kx kx x f 的定义域为R ,则k 的取值范围是 A .⎪⎭⎫ ⎝⎛43,0B .⎪⎭⎫⎢⎣⎡43,0C .⎥⎦⎤⎢⎣⎡43,0 D .⎪⎭⎫ ⎝⎛+∞-∞,43]0,(11.已知定义在R 上的函数()21x mf x -=- (m 为实数)为偶函数,记0.5(log 3)a f =,()()2log 5,2b f c f m ==,则,,a b c 的大小关系为A .a b c <<B .c a b <<C .a c b <<D .c b a << 12.设函数21()ln(1||)1f x x x=+-+,则使得()(21)f x f x >-成立的x 的取值范围是 A .()1,1,3⎛⎫-∞+∞ ⎪⎝⎭B .1,13⎛⎫⎪⎝⎭ C .11,33⎛⎫- ⎪⎝⎭ D .11,,33⎛⎫⎛⎫-∞-+∞ ⎪ ⎪⎝⎭⎝⎭第II 卷(非选择题共90分)二、填空题:本大题共4小题,每小题5分,共20分,把答案填在答题卡的相应位置。
2016届甘肃省河西部分高中(张掖中学、嘉峪关一中、山丹一中)高三上学期期中联考英语试题解析(解析版)注:本试卷分第I卷(选择题)和第II卷(非选择题),满分120分,考试用时100分钟第I卷(选择题,共70分)一、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。
APeter, a high school student, was pretty busy with school, and he was on the soccer team. High school was hard, because everyone wanted to have nice clothes, hang out, drive cars, and all these cost money. Peter’s father was the sort of guy that believed you had to earn whatever you got, so he wasn’t just ab out to hand over lots of money for Peter to use to have fun. So, he had to get a job.During his freshman year summer vacation, his classmate got him a job working on a hay (干草) farm. He threw hay up into wagons as the tractor drove around fields, and then they stacked (剁起) it in the hot barn. It was a hot, lowpaying job.He once worked a few nights a week at a grocery store. He put things on the shelf. It was a lot of lifting and carrying, and his arms were strong from this and the previous job. It was dull and didn’t pay much.He took some time off when soccer got serious, but the following summer he tried working at a lumber yard. It was hot outside, but he got a lot of exercise lifting and carrying things like boards and drywall. He also learned a lot about building supplies. It still didn’t pay well.From there, he spent a year doing some tutoring for a friend of the family, but that was piecemeal. His first real job came the last year at school, when he fixed registers and worked on computers at a big box store. It was his favorite job yet, but it still didn’t pay well.What Peter realized with all of these jobs was that he needed a better paying job! The only way to get that was to get trained or educated. He could go to school and get a 2year degree inan office or technical position. His other choices were going to a 4year college or joining the army. He wasn’t sure what he was going to do yet, but he knew he had to do something. Jobs were a lot of work, money was hard to earn, but he liked staying busy and being able to buy things. Peter wanted the most out of life, and that meant education.1. How many jobs had Peter taken?A. ThreeB. Four.C. Five.D. Six.2.All the jobs Peter had taken had one thing in common:________.A. They were done during his vacationB. They were dull and tiresomeC. They needed hard labourD. They didn’t pay well3. ________was the most important for Peter if he wanted a good job.A. ConfidenceB. EducationC. OpportunityD. Wisdom4.We can learn from the text that________.A. Peter knew what to do for his futureB. Peter’s father didn’t care about himC. it was very hard for Peter to make his choicesD. Peter was determined to do whatever he liked【答案】1.C2.D3.B4.A2. D 细节理解题。
2016年1月甘肃省河西五市部分普通高中高三第一次联考化学试卷命题学校:嘉峪关市酒钢三中命题人:姚小伟白艳萍陈亚文本试卷分第Ⅰ卷(选择题)和第Ⅱ卷(非选择题)两部分,考试时间120分钟,共100分。注意事项:1.答题前,考生务必将自己的准考证号、姓名填写在答题卡上。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。第Ⅱ卷用黑色墨水签字笔在答题卡上书写作答,在试题卷上作答,答案无效。可能用到的相对原子质量:H-1 C-12 N-14 O-16 Na-23 S-32 Cl-35.5 K-39 Fe-56Cu-64 Al-27 Mg-24 I-127 Ba-137 Cr-52 Pb-207第Ⅰ卷(选择题共44分)一.选择题(本题包括22小题,每小题2分,共44分。
每小题只有一个....选项符合题意)1.化学与科技、社会、生活有着密切的联系,下列有关说法正确的是( )A.可吸入颗粒物中含有的铅、镉、铬、钒、砷等对人体有害的元素均为金属元素B.乙醇和汽油都是可再生能源,应大力推广乙醇、汽油的使用C.单质硅晶体是将太阳能转化为电能的常用材料D.新型能源生物柴油和矿物油的主要化学成分相同2.下列叙述正确的是( )A.石油裂化主要得到乙烯B.石油分馏是化学变化,可得到汽油、煤油等C.煤的干馏主要得到煤焦油、焦炉气、焦炭、粗氨水D.煤的气化和液化是物理变化,是使煤变成清洁能源的有效途径3.下列有关化学用语表示正确的是( )IA.乙烯的结构简式为:C2H4B.质子数为53,中子数为78的碘原子:13153C.S2-的结构示意图:D.NH4Cl的电子式为:4.下列有关说法中不正确的是( )A.将SO2通入BaCl2溶液中至饱和,无沉淀产生,再通入过量NH3,产生沉淀B.二氧化硫可广泛用于食品的增白C.用AlCl3溶液制取Al(OH)3,沉淀剂选用氨水比选用NaOH溶液好D.纯锌与稀硫酸反应产生氢气的速率较慢,再加入少量CuSO4固体,反应速率加快5.下列反应的离子方程式正确的是( )A.NaHSO4溶液与足量Ba(OH)2溶液混合:2H++SO42-+Ba2++2OH-=BaSO4↓+2H2OB.硫化钠的水解反应:S2-+2H2O H2S+2OH-C.将等体积等物质的量浓度的NaHCO3溶液与Ba(OH)2溶液混合:HCO-3+Ba2++OH-===BaCO3↓+H2OD.单质铜与稀硝酸反应:Cu+2H+2NO-3===Cu+2NO↑+H2O6. 下列判断不合理的是( )A.能电离出H+的物质不一定是酸B.蔗糖、碳酸钡和水分别属于非电解质、强电解质和弱电解质C.根据分散系中分散质粒子直径大小将分散系分为溶液、胶体和浊液D.焰色反应是化学变化7.下列有关结构和性质的说法中不正确的是( )A.元素周期表中从ⅢB族到ⅡB族十个纵行的元素都是金属元素B.碱性:NaOH > NH3·H2O ,所以元素的金属性:Na > NC.同周期第ⅡA族与第ⅢA族的元素原子序数之差不一定为1D.第ⅦA族元素从上到下,其氢化物的稳定性逐渐减弱8.下列叙述正确的是( )①淀粉和纤维素互为同分异构体②麦芽糖与蔗糖的水解产物均含葡萄糖,故二者均为还原型二糖③乙烯和苯都能使溴水褪色,褪色的原理相同④乙醇、乙酸、乙酸乙酯都能发生取代反应⑤食品保鲜膜、一次性食品袋的主要成分是聚氯乙烯⑥除去乙烷中混有的乙烯可用酸性高锰酸钾溶液⑦(CH3) 2CHC(CH3)3名称为:2, 3, 3-三甲基丁烷⑧淀粉、油脂、蛋白质在一定条件下都能发生水解反应A.①②④⑧B.②④⑤⑧C.③④⑥⑦D.④⑧9.设N A为阿伏加德罗常数的值,下列说法正确是( )A.25℃时,pH=12的Ba(OH)2溶液中含有的OH-数目为0.01 N AB.9 g H218O含有的中子数为5N AC.常温常压下,28 g C2H4、C3H6的混合气体中含有碳原子的数目为2N AD.分子数为N A的CO、N2混合气体体积约为22.4L,质量为28g10. 实验法和比较法是研究物质性质的基本方法。
甘肃省河西部分高中(张掖中学、嘉峪关一中、山丹一中)2016届高三上学期期中联考政治试卷命题学校:山丹一中命题教师:张昌赵琼王永广张兆芳注:本试卷分为Ⅰ卷(选择题)和Ⅱ(非选择题),满分100分,考试用时90分钟。
第Ⅰ卷(选择题,共60分)一、选择题:(30小题,每题2分,共60分)1. 2013年,我国某企业生产A商品20万件,每件售价为220元。
2014年该企业生产A商品的劳动生产率提高20%,国内生产A商品的劳动生产率提高10%。
在其它条件不变的情况下,若人民币贬值20%,则该企业在2014年生产A商品的总售价为A. 6000万元B. 5500万元C.4000万元D.3666万元2.假定在其他条件不变的情况下,下列选项与右图曲线反映的变动关系一致的是①P甲为流通中所需要的货币量Q乙为货币流通次数②P甲为外汇汇率 Q乙为我国吸引外资能力③P甲为某商品的价格Q乙为该商品替代品需求量④P甲为某种商品价格Q乙为该商品互补品需求量A.①②B.①③C.②③D.②④3.为了切实减轻小型微型企业负担,促进小型微型企业健康发展,财政部会同国家发展改革委印发通知,决定从2012年1月1日至2014年12月31日,对小型微型企业免征管理类、登记类、证照类行政事业性收费。
这是因为①小型微型企业与国有大型企业是地位不同的市场主体②小型微型企业可以提供就业机会,促进我国经济发展③扶持小型微型企业发展有利于增强公有制的主体地位④扶持小型微型企业有利于调动人们的生产积极性和创造性A.①②B.①④C.②③D.②④4.为了推进经济结构战略性调整,加强薄弱环节建设,促进经济持续健康发展,按照国务院的部署和要求,国家发改委会同有关部门,选择生态环保、农业水利、市政、交通、能源、信息、社会事业等领域,重点就吸引社会资本特别是民间资本参与,提出了创新重点领域投融资机制鼓励社会投资的一系列改革措施。
这一举措有利于:①维护各种所有制经济在所有制结构中的平等地位②保证各种所有制经济依法平等使用生产要素、公平参与市场竞争③各种所有制经济发挥各自优势,共同发展④巩固公有制为主体、多种所有制经济共同发展这一社会主义经济制度的基础A.①②B.①④C.②③D.③④5.国际上有一条公认的“马特莱法则”(又称“二八法则”)。
2015-2016学年第一学期高三期中联考英语试卷注:本试卷分第I卷〔选择题〕和第II卷〔非选择题〕,总分为120分,考试用时100分钟第I卷〔选择题,共70分〕一、阅读理解〔共两节,总分为40分〕第一节〔共15小题;每一小题2分,总分为30分〕阅读如下短文,从每题所给的四个选项〔A、B、C和D〕中,选出最优选项,并在答题卡上将该项涂黑。
APeter, a high school student, was pretty busy with school, and he was on the soccer team. High school was hard, because everyone wanted to have nice clothes, hang out, drive cars, and all these cost money. Peter’s father was the sort of guy that believed you had to earn whatever you got, so he wasn’t just about to hand over lots of money for Peter to use to have fun. So, he had to get a job.During his freshman year summer vacation, his classmate got him a job working on a hay (干草) farm. He threw hay up into wagons as the tractor drove around fields, and then they stacked (剁起) it in the hot barn. It was a hot, lowpaying job.He once worked a few nights a week at a grocery store. He put things on the shelf. It was a lot of lifting and carrying, and his arms were strong from this and the p revious job. It was dull and didn’t pay much.He took some time off when soccer got serious, but the following summer he tried working at a lumber yard. It was hot outside, but he got a lot of exercise lifting and carrying things like boards and drywall. He also learned a lot about building supplies. It still didn’t pay well.From there, he spent a year doing some tutoring for a friend of the family, but that was piecemeal. His first real job came the last year at school, when he fixed registers and worked on computers at a big box store. It was his favorite job yet, but it still didn’t pay well.What Peter realized with all of these jobs was that he needed a better paying job! The only way to get that was to get trained or educated. He could go to school an d get a 2year degree in an office or technical position. His other choices were going to a 4year college or joining the army. He wasn’t sure what he was going to do yet, but he knew he had to do something. Jobs were a lot of work, money was hard to earn, but he liked staying busy and being able to buy things. Peter wanted the most out of life, and that meant education.1. How many jobs had Peter taken?A. ThreeB. Four.C. Five.D. Six.2.All the jobs Peter had taken had one thing in common:________.A. They were done during his vacationB. They were dull and tiresomeC. They needed hard labourD. They didn’t pay well3. ________was the most important for Peter if he wanted a good job.A. ConfidenceB. EducationC. OpportunityD. Wisdom4. We can learn from the text that________.A. Peter knew what to do for his futureB. Peter’s father didn’t care about himC. it was very hard for Peter to make his choicesD. Peter was determined to do whatever he likedBIt’s summer movie time again. Check out our list of four films.Harry Potter and the Prisoner of AzkabanRelease Date: November 4Story: It’s the summer before Harry Potter’s third year at Hogwarts School of Witchcraft and Wizardry. A dangerous murderer, Sirius Black, has escaped from the Wizards’ Prison. And he was ordered to kill Harry Potter.Around the World in 80 DaysRelease Date: November 16Story: This version of the classic novel set in 1872 focuses on Passepartout ( Hong Kong actor Jackie Chan), a Chinese thief who seeks refuge (庇护) with a strange London adventurer, Phileas Fogg. Passepartout uses his martial art skills to defend Fogg from danger as he travels around the world in 80 days.Spider-Man 2Release Date: November 30Story: Peter Parker is still coming to accept his dual identity (双重身份) as the crime superhero Spider-Man. He wants to reveal his secret identity to Mary Jane, meanwhile, his Aunt May is in trouble. This is Dr Otto Octavius who has appeared to bring her a lot of troubles.King ArthurRelease Date: November 7Story: King Arthur is presented as a clever ruler who manages to unite all the knights in Britain. Under the guidance of Merlin and the beautiful, brave Guinevere, Arthur will struggle to realize his dreams.5. When can you see the film acted by Jackie Chan?A. November 4.B. November 30.C. November 16.D. November 7.6. In Spider-Man 2, Aunt May’s trouble is caused by______.A. Spider-ManB. Peter ParkerC. Mary JaneD. Dr Otto Octavius7. What kind of article of this passage?A. A news report.B. A funny diary.C. An advertisement.D. A composition.CAn African proverb says that a single hand cannot tie a bundle. Everyone needscompanions to help them sail through the rough seas of life. Even the strongest and richest person still needs friends. Our money and strength would have no value if we had no friends to share with us. The best friendship is a give-and-take relationship. We need the support of our family, friends and the community. In turn we also give support to the society, our friends and our family.The word “friend〞 has many meanings. It could be the bus driver who takes you to and from work every day. It could be a parent, a colleague, a wife or husband, a brother or sister, or even the unknown person who helped you just once when you could not find your way. Real friends share not only our happiness but our sorrows as well. This may explain why we have the expression “a friend in n eed is a friend indeed〞.Friendship is like the sunshine that keeps us warm. It is like the refreshing raindrops on the fields that give the farmers hope of a good planting season. Without friends our life would be like a desert where our only friend would be loneliness and sadness. The most fortunate person is the one who has friends from all levels in the society. A driver might find friends not only among his colleagues but among farmers, bankers, traders, students, politicians or teachers. We should never forget our old friends when we make new ones. We should treasure each of our friends whether poor or rich, beautiful or not. Each friend is unique in his or her own way. And all together, they enrich life and make it very colourful.8. What is the main topic of the passage?A. How to sail through the sea of life.B. Friends and friendship.C. A friend in need is a friend indeed.D. Never forget old friends when making new ones.9. What is the correct understanding of friends according to the writer?A. Friends who share our happiness are not real friends.B. Friends will take us through rough seas.C. Friends never expect anything from others.D. Friends can be different people around us.10. An unknown person can be a friend as well when.A. he helps you with what you needB. he is told how to find his wayC. he becomes one of your familyD. he is a driver taking you from and to work11. The underlined word “unique〞in the last paragraph most probably means “〞.A. specialB. poorC. richD. valuableDMore than 2.25 billion cups of coffee are consumed across the globe each day, and it’s likely that many taste bitter.Now, a new study suggests that coffee fans can make their drink taste sweeter by simply changing the colour of their cups.Scientists claim that blue and glass mugs, which are popular in some coffee shops, can reduce coffee’s bitterness, without any need for sugar, and that coffee drunk from white cups tastes the bitterest.To prove their claims, the researchers invited 36 volunteers and used three different colored cups -- blue, white and transparent glass -- to do an experiment.In the experiment, coffee consumed from the white cup was found to taste less sweet when compared to the other two colored cups, while the blue cup made the coffee taste the sweetest.The scientists believe that the colour brown may be associated with coffee’s bitterness because coffee in a white cup appears the brownest and tastes the bitterest.“Our study cle arly shows that the colour of a coffee cup does influence the perceived (感受到的) taste and flavor of coffee,〞said Dr George Doorn of Federation University Australia, “but the potential effects may be different between a one-time purchase and a return customer.〞“Anyhow, the effect of the colour of the cup on the flavor of the coffee suggests that café owners, baristas (服务员), as well as coffee cup manufacturers should carefully consider the colour of their cups, 〞 he added.However, the idea that colour can alter the taste of food and drink is not new.A study published last year revealed that red, strawberry-flavored mousse (慕斯蛋糕) served on a white plate was rated as 10 percent sweeter and 15 percent more flavorous than the same food presented on a black plate.12. What color of the cup can best reduce coffee’s bitterness without adding sugar?A. Blue.B. Brown.C. White.D. Transparent.13. The scientists used ________ to do the experiment to prove their claims.① different brands of coffee ② different colored coffee cups③ several volunteers ④ several manufacturesA. ① ②B. ② ③C. ② ④D. ③ ④14. Why does coffee in white cups taste the least sweet?A. Because white cups are not as beautiful as other cups.B. Because white cups make coffee appear the brownest.C. Because white cups reduce the sugar in them.D. Because white cups are better used to serve cakes.15. According to the article, which of the following statements is TRUE?A. Black plates increase the sweetness of food and drink.B. Strawberry-flavored mousse is 10 percent sweeter than coffee.C. People consume more than 2.5 billion cups of coffee across the globe every year.D. People can make coffee taste sweeter by changing the color of their coffee cups.第二节〔共5小题;每一小题2分,总分为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优选项。
甘肃省河西部分高中(张掖中学、嘉峪关一中、山丹一中)2016届高三化学上学期期中联考试题(含解析)注:本试卷分第I卷(选择题)和第II卷(非选择题),满分100分,考试用时100分钟注意事项:可能用到的相对原子质量:H:1 C:12 N:14 O:16 Na:23 Mg:24 Al:27 S:32 Cl:35.5 k:39 Ca:40 Fe:56 Cu:64 Ba:137第I卷(选择题,共50分)一、选择题(25小题,每题2分,共50分)1.化学与生产、生活密切相关。
下列叙述中,不正确的是()①制作计算机芯片的材料是Si晶体,漂白液的有效成分是NaClO②二氧化碳和氮气均是造成温室效应的气体③食醋可去除水垢,NH4Cl溶液可去除铁锈④SO2和NO2都能使雨水的pH < 5.6,造成酸雨⑤硅胶可用作食品干燥剂⑥向FeCl3溶液中不断加入NaOH溶液制备Fe(OH)3胶体⑦用铜粉和硫粉混合加热制备CuS⑧向铝盐溶液中不断滴入烧碱溶液制备Al(OH)3A.②③⑦ B.②⑥⑦⑧ C.②③⑦⑧ D.①②③⑥⑧【答案】B【解析】试题分析:①晶体硅是常用的半导体材料,可以用来制作计算机芯片,漂白液中NaClO有漂白性,故正确;②氮气是空气的主要成分,氮气不会引起温室效应,二氧化碳是造成温室效应的气体,故错误;③食醋与水垢能反应生成易溶于水的醋酸钙,所以食醋可去除水垢,氯化铵溶液显酸性能与铁锈反应,故正确;④SO2与水反应生成亚硫酸,亚硫酸能被氧气氧化为硫酸,NO2与水反应生成硝酸,所以SO2和NO2能造成酸雨,故正确;⑤硅胶具有吸水性,无毒,硅胶可用作食品干燥剂,故正确;⑥反应生成沉淀,而实验室制备氢氧化铁胶体是把饱和氯化铁溶液滴入沸水中加热到呈红褐色液体,即得到氢氧化铁胶体,故错误;⑦硫为弱氧化剂,则铜粉和硫粉混合加热制备硫化亚铜,故错误;⑧向铝盐溶液中不断滴入过量氨水溶液制备Al(OH)3,故错误;故选B。
甘肃省嘉峪关市一中高三数学上学期期中试题(答案不全) 文新人教A 版一、选择题(每小题5分,共60分)1.2b ac =是a.b.c 成等比数列的 ( ) A.充分非必要条件 B.必要非充分条件 C.充要条件 D.既不充分也非必要条2.等差数列{}n a 的前m 项的和是30,前2m 项的和是100,则它的前3m 项的和是( ) A .130 B .170 C .210 D .260 3.在等比数列{}n a 中,1990,,n a a a >是方程210160x x -+=的两个根,则405060a a a =( ) A . 32 B.64 C.256 D.±64 4.函数y =log 2x +3(x≥1)的值域是 ( )A.[)+∞,2B.(3,+∞)C.[)+∞,3D.(-∞,+∞) 5.已知不等式|x - a |<b 的解是1<x <3,则(x - a ) (x - b )<0的解是 A. 2<x <4 B. 1<x <3 C. 2<x <3 D. 1<x <2 ( ) 6.函数f(x)的图像与函数g(x)=(21)x 的图像关于直线y=x 对称,则f(2x-x 2)的单调减区间为 ( )(A )(0,1)(B )[1,+∞)(C )(-∞,1](D )[1,2) 7.为了得到函数)62sin(π-=x y 的图象,将函数x y 2cos =的图象 ( )A .向右平移6π个单位长度 B .向右平移3π个单位长度 C .向左平移6π个单位长度 D .向左平移3π个单位长度8. 在ABC ∆中,已知C B A sin cos sin 2=,那么ABC ∆一定是 ( )A .直角三角形 B .等腰三角形C .等腰直角三角形D .正三角形9. tan10tan 203(tan10tan 20)•++等于 ( )10. 已知a 、b 、c 依次为方程2x+x=0,log 2x=2和x x =21log 的实数根,则a 、b 、c 之间的大小关系为 ( ) (A )b >a >c (B )c >b >a (C )a >b >c (D )b >c >a 11.下列不等式中,对任意x ∈R 都成立的是 ( )A .2111x <+ B .x 2+1>2x C .lg(x 2+1)≥lg2x D .244xx +≤112.函数f (x )定义在实数集R 上,f (x +y )=f (x )+f (y ),且当x >0时,f (x )<0则f (x ) ( )(A )奇函数且在R 上是单调增函数 (B )奇函数且在R 上是单调减函数 (C )偶函数且在R 上是单调减函数 (D )偶函数且在R 上不是单调函数二、填空题(每小题5分,共20分)13.已知集合M={x │01xx ≥-} N={y │y=3x 2+1,x ∈R },则M ∩N= 14. 设函数()()()()4242xx f x x f x ⎧≥⎪=⎨<+⎪⎩,则()2log 3f =15.已知数列{n a }满足1a =1,1n a +=21n a + (n N *∈),求数列{n a }的通项公式_______。
一、选择题(本大题共12个小题,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{| lg(1)0}A x x =-≤,={|13}B x x -≤≤,则A B =( )A .[1,3]-B .[1,2]-C .(1,3]D .(1,2]【答案】D.考点:集合的运算.2.复数z 满足1+)|i z i =(,则=z ( ) A .1+i B .1i -C .1i --D .1+i -【答案】A. 【解析】试题分析:由题意得,211z i i==-+,∴1z i =+,故选A . 考点:复数的计算.3.设x R ∈,向量(,1)a x =,(1,2)b =-,且a b ⊥,则||a b +=( )A B C . D .10 【答案】B. 【解析】试题分析:∵a b ⊥,∴202x x -=⇒=,∴(3,1)||10a b a b +=-⇒+=,故选B . 考点:平面向量的数量积.4.已知:p m R ∀∈,210x mx --=有解,0:q x N ∃∈,200210x x --≤则下列选项中是假命题的为() A .p q ∧B .()p q ⌝∧C . p q ∨D .()p q ⌝∨【答案】B. 【解析】试题分析:∵240m ∆=+>,∴p 是真命题,取00x N =∈,满足200210x x --≤,∴q 也是真命题,∴()p q ∧⌝是假命题,故选B . 考点:命题真假判断. 5.函数||cosxy ln x =的图象大致是( )A .B .C .D .【答案】C.考点:函数的图象和性质.6.设k 是一个正整数,1+)k xk (的展开式中第四项的系数为116,记函数2y x =与y kx =的图象所围成的阴影部分为S ,任取[0,4]x ∈,[0,16]y ∈,则点(,)x y 恰好落在阴影区域S 内的概率是 ( ) A .23B .13C .25D .16【答案】D. 【解析】试题分析:由二项展开的通项公式1()r r r k x T C k+=,令143r r +=⇒=,∴33211(1)(2)1416616kk k C k k k --⋅=⇒=⇒=,∴4223400132(4)(2)|33S x x dx x x =-=-=⎰,∴所求概率32134166P ==⋅,故选D .考点:1.二项式定理;2.定积分计算曲边图形的面积;3.几何概型. 7.正项等比数列{}n a 中的 1a ,4031a 是函数321()4633f x x x x =-+-的极值点,则2016a =( )A .1-B .1 CD .2 【答案】B.考点:1.导数的运用;2.等比数列的性质.8.一个几何体的三视图如上图所示,则这个几何体的体积为( ) A)π+ B2)π+ C2)π+ D)π+【答案】A. 【解析】试题分析:分析三视图可知,该几何体为半个圆锥与四棱锥的组合,故其体积2211112)323V ππ=⋅⋅+⋅=+,故选A .考点:1.三视图;2.空间几何体的体积.9.阅读如下图所示程序框图,运行相应的程序,则程序运行后输出的结果( )A .7B .9C .10D .11【答案】B. 【解析】试题分析:分析程序框图可知,131lg lg lg lg3522i S i i =++⋅⋅⋅+=++, 又∵1S ≤-,∴111082i i -≤⇒≥+,故符合题意的最小奇数9i =,故选B . 考点:程序框图. 10.已知点A 是抛物线214y x =的对称轴与准线的交点,点F 为该抛物线的焦点,点P 在抛物线上且满足||||PF m PA =,当m 取最小值时,点P 恰好在以A ,F 为焦点的双曲线上,则该双曲线的离心率为( ) ABC1+ D1+【答案】C. 【解析】试题分析:如下图所示,(0,1)A -,(0,1)F ,过P 作准线的垂线,垂足是H ,由对称性,不妨令P 在第一象限,∴||||sin ||||PF PH m PAH PA PA ===∠,∴问题等价于求PAH ∠的最小值,而21111144tan 14y x PAH x x x x ++∠===+≥=,当且仅当1124x x x=⇒=时等号成立,此时||||221PA PF a a -=-=⇒=-,∴1c e a ===+,故选C .考点:1.抛物线的标准方程及其性质;2.基本不等式求最值;3.双曲线的标准方程及其性质.11.体积为43π的球O 放置在棱长为4的正方体1111ABCD A B C D -上,且与上表面1111A B C D 相切,切点为该表面的中心,则四棱锥O ABCD -的外接球的半径为( ) A .103B .3310C .2D .236【答案】B.考点:空间几何体的性质.12.已知函数3|log |, 03()cos(),393x x f x x x π<<⎧⎪=⎨-≤≤⎪⎩,若存在实数1x ,2x ,3x ,4x ,当1234x x x x <<<时满足1234()()()()f x f x f x f x ===,则1234x x x x ⋅⋅⋅的取值范围是( )A .29(7,)4B .135(21,)4C .[27,30)D .135(27,)4【答案】D. 【解析】试题分析:如下图所示,设从左往右的零点依次为1x ,2x ,3x ,4x ,则1213212()()log 3log 1f x f x x x x x =⇒-=⇒=,又∵34()()f x f x =,∴3412x x +=,343391353(12)(27,)24x x x x x <<⇒=-∈,故选D .考点:1.分段函数;2.函数与方程;3.数形结合的数学思想.二、填空题(本大题共4个小题,满分20分.把答案填在题中的横线上.)13.已知倾斜角为α的直线l 与直线230x y +-=垂直,则2015cos(2)2πα-的值为 【答案】45-. 考点:1.两直线的位置关系;2.三角恒等变形. 14.若实数(0,0)a b >>,且121a b +=,则当28a b +的最小值为m ,函数()||1mxf x e lnx -=-的零点个数为 【答案】1. 【解析】试题分析:2212141()(4)(418888a b a b b a a b a b ++=⋅+=++≥+=,当且仅当121244a a b b ab a b⎧+=⎪=⎧⎪⇒⎨⎨=⎩⎪=⎪⎩时,等号成立,故1m =,令()|ln |10|ln |x xf x e x e x -=-=⇒=,令()ln (1)xg x e x x =->,∴1'()10x g x e e x=->->,∴()g x 在(1,)+∞上单调递增,即()0g x e e >-=,∴ln ln 10(1)xxe x ex x ->⇒-<>,∴()f x 在(1,)+∞上无零点,在(0,1)上有且仅有1个零点,∴()f x 的零点个数为1,∴故填:1.考点:1.基本不等式求最值;2.函数的零点.15.已知不等式组002x y x y x -≥⎧⎪+≥⎨⎪≤⎩所表示的区域为D ,(,)M x y 是区域D 内的点,点(12)A -,,则z OA OM=⋅的最大值为 . 【答案】2. 【解析】试题分析:2z OA OM x y =⋅=-+,作出不等式组所表示的区域,即可行域,作直线l :20x y -+=,平移l ,从而可知当2x =,2y =时,max 2z =,故填:2.考点:1.线性规划;2.平面向量数量积.16.方程()f x x =的根称为函数()f x 的不动点,若函数()(5)xf x a x =+有唯一不动点,且11613x =,111()n nx f x +=()n N *∈,则2016x = . 【答案】2016.考点:1.新定义问题;2.数列的通项公式.三、解答题 (本大题共6小题,共70分.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)已知ABC ∆中,a ,b ,c 分别是角A ,B ,C 的对边,且2b ,2c 是关于x 的一元二次方程22()0x a bc x m -++=的两根.(1)求角A 的大小;(2)若a ==B θ,ABC ∆的周长为y ,求()y f θ=的最大值. 【答案】(1)3π;(2)【解析】试题分析:(1)根据韦达定理得到三边所满足的一个关系式,进而利用余弦定理的变式求解;(2)利用正弦定理得到()f θ的解析式,再利用三角恒等变形将其化简,利用三角函数的性质求其最值.试题解析:(1)在ABC ∆中,依题意有:222b c a bc +=+,∴2221cos 22b c a A bc +-==,又∵(0)A π∈,,∴3A π=;(2)由a =3A π=及正弦定理得:2sin sin sin b c aB C A===,∴2sin 2sin b B θ==,222sin 2sin()2sin()33c C B ππθ==-=-,故22sin 2sin()3y a b c πθθ=++=++-,即)6y πθ=+ 由203πθ<<得:5666πππθ<+<,∴当62ππθ+=,即3πθ=时,max y = . 考点:1.正余弦定理解三角形;2.三角恒等变形;3.韦达定理;4.三角函数的性质. 18.(本小题满分12分)在一次考试中,5名同学的数学、物理成绩如下表所示: (1)根据表中数据,求物理分y 对数学分x 的回归直线方程;(2)要从4名数学成绩在90分以上的同学中选出2名参加一项活动,以X 表示选中的同学中物理成绩高于90分的人数,求随机变量X 的分布列及数学期望(X)E附:回归方程ˆˆˆybx a =+,121()(y )ˆ()niii ni i x x y b x x ==--=-∑∑,ˆˆay bx =-,其中x ,y 为样本平均数.【答案】(1)ˆ0.7520.25y x =+;(2)详见解析.【解析】(2)离散型随机变量X 的所有可能取值为0,1,3,22241(0)6C P X C ===,1122242(1)3C C P X C ===, 22241(2)6C P X C ===,故X 的分布列为:∴121(X)0121636E =⨯+⨯+⨯=. 考点:1.回归分析;2.离散型随机变量的概率分布及其期望. 19.(本小题满分12分)在三棱柱111ABC A B C -中,12AB BC CA AA ====,侧棱1AA ⊥平面ABC ,且D ,E 分别是棱11A B ,1AA 的中点,点F 在棱AB 上,且14AF AB =.(1)求证://EF 平面1BDC ; (2)求二面角1E BC D --的余弦值.【答案】(1)详见解析;(2【解析】试题分析:(1)设O 为AB 的中点,连结1AO ,根据条件首先证明四边形1A DBO 为平行四边形,即可得到//EF BD ,再根据线面平行的判定即可得证;(2)根据图形特点,建立空间直角坐标系,求得两个平面的法向量后即可求解.试题解析:(1)设O 为AB 的中点,连结1AO ,∵14AF AB =,O 为AB 的中点,∴F 为AO 的中点, 又∵E 为1AA 的中点,∴1//EF AO ,又∵D 为11A B 的中点,O 为AB 的中点,∴1A D OB =, 又∵1//A D OB ,∴四边形1A DBO 为平行四边形,∴1//AO BD ,又∵1//EF AO ,∴//EF BD ,又∵EF ⊄平面1DBC ,BD ⊂平面1DBC ,∴//EF 平面1DBC ;(2)建立如图所示的坐标系, ∵12AB BC CA AA ====,D ,E 分别为11A B ,1AA 的中点,14AF AB =,(1,0,1)E -,1(,0,0)2F -,(1,0,0)B ,(0,0,2)D ,12)C ,设平面1DBC 的法向量为(,,)n x y z =,1(,0,1)2EF =-,(1,0,2)BD =-,1(2)BC =-,20BD n x z ⋅=-+=,120BC n x z ⋅=++=,不妨令1z =,则0y =,2x =,∴(2,0,1)n =,同理可得平面1EBC 的一个法向量为(1,2)m =,||cos ,||||m n m n m n ⋅<>===⋅,∴二面角1E BC D --考点:1.线面平行的判定;2.空间向量求空间角. 20.(本小题满分12分)已知椭圆M :2221(0)3x y a a +=>的一个焦点为(1,0)F -,左右顶点分别为A ,B ,经过点F 的直线l 与椭圆M 交于C ,D 两点. (1)求椭圆方程;(2)当直线l 的倾斜角为45时,求线段CD 的长;(3)记ABD ∆与ABC ∆的面积分别为1S 和2S ,求12||S S -的最大值.【答案】(1)22143x y +=;(2)247;(3.试题解析:(1)∵(1,0)F -为椭圆的焦点,∴1c =,又∵23b =,∴2224a b c =+=,∴椭圆方程为22143x y +=;(2)∵直线的倾斜角为45,∴直线方程为1y x =+,和椭圆方程联立得到221431x y y x ⎧+=⎪⎨⎪=+⎩,消掉y ,得到27880x x +-=,∴2880∆=>,1287x x +=-,1287x x =,∴1224||||7CD x x =-=; (3)当直线l 斜率不存在时,直线方程为1x =-,此时3(1,)2D -,3(1,)2C --,ABD ∆,ABC ∆面积相等,12||0S S -=,当直线l 斜率存在(显然0k ≠)时,设直线方程为(1)(0)y k x k =+≠,设11(,)C x y ,22(,)D x y ,和椭圆方程联立得到22143(1)x y y k x ⎧+=⎪⎨⎪=+⎩,消掉y 得2222(34)84120k x k x k +++-=, 显然0∆>,方程有根,且2122834k x x k +=-+,212241234k x x k -=+,此时122121|||2||||||2||S S y y y y -=-=+212|(1)(1)|k x k x =+++21212||2|()2|34k k x x k k=++=+, ∵0k ≠,上式1234||||k k =≤==+,(k =时等号成立),∴12||S S -考点:1.椭圆的标准方程;2.直线与椭圆的位置关系;3.椭圆中的最值问题. 21.(本小题满分12分)已知函数2()(sin 2)xf x e x ax a e =-+-,其中a R ∈, 2.71828e =为自然对数的底数.(1)当0a =时,讨论函数()f x 的单调性;(2)当112a ≤≤时,求证:对任意的[0,)x ∈+∞,()0f x <. 【答案】(1)()f x 在R 上是单调递减的函数;(2)详见解析.试题解析:(1)当0a =时,()(sin )xf x e x e =-,x R ∈,()(sin cos ))]4x x f x e x x e e x e π'=+-=+-,∵当x R ∈)4x π+≤,∴()0f x '<,∴()f x 在R 上是单调递减的函数;(2)设2()sin 2g x x ax a e =-+-,[0,)x ∈+∞,()cos 2g x x ax '=-,令()()cos 2h x g x x ax '==-,[0,)x ∈+∞则()sin 2h x x a '=--,当112a ≤≤时,[0,)x ∈+∞,有()0h x '≤,∴()h x 在[0,)+∞上是减函数,即()g x '在[0,)+∞上是减函数,又∵(0)10g '=>,()04g π'=≤<,∴()g x '存在唯一的0(0,)4x π∈,使得000()cos 2=0g x x ax '=-, ∴当00(0,)x x ∈时,()0g x '>,()g x 在区间0(0,)x 单调递增; 当00(,+)x x ∈∞时,()0g x '<,()g x 在区间0(+)x ∞,单调递减,因此在区间[0,)+∞上 2max 000()()sin 2g x g x x ax a e ==-+-,∵00cos 2=0x ax -,∴001=cos 2x x a,将其代入上式得 max ()=g x 220000111sin cos 2sin sin 2444x x a e x x a e a a a-+-=+-+-,令0sin t x =,0(0,)4x π∈,则t ∈,即有211()244p t t t a e a a =+-+-,t ∈, ∵()p t 的对称轴20t a =-<,∴函数()p t在区间上是增函数,且112a ≤≤,∴115()2088p t p a e e a <=-+-<+-<,(112a ≤≤),即任意[0,)x ∈+∞,()0g x <,∴()()0x f x e g x =<,因此任意[0,)x ∈+∞,()0f x <.考点:1.导数的运用;2.分类讨论的数学思想.请考生在第22、23、24三题中任选一题作答,如果多做,则按所做的第一题计分,做答时请写清题号.22.(本小题满分10分)选修4-1:几何证明选讲如图,ABC ∆内接于直径为BC 的圆O ,过点A 作圆O 的切线交CB 的延长线于点M ,BAC ∠的平分线分别交圆O 和BC 于点D ,E ,若5152MA MB ==. (1)求证:52AC AB =; (2)求AE ·DE 的值.【答案】(1)详见解析;(2)4052. 【解析】试题分析:(1)利用条件证明ABMCAM ∆∆,再利用相似三角形的性质即可得证;(2)利用条件首先求得CE ,BE 的长度,再利用相交弦定理即可求解.试题解析:(1)∵AM 是圆O 的切线,∴MAB ACB ∠=∠,且M ∠是公共角,∴ABMCAM ∆∆,∴52AC AM AB MB ==,∴52AC AB =;(2)由切割线定理得2MA MB MC =⋅, ∴75=2MC ,又∵6MB =,∴63=2BC ,又∵AD 是BAC ∠的角平分线,∴52AC CE AB BE ==,∴52CE BE =,∴452CE =,9BE =,∴由相交弦定理得45405922AE DE CE BE ⋅=⋅=⋅=. 考点:1.切线的性质;2.相似三角形的判定与性质;3.圆中的比例线段. 23.(本小题满分10分)选修4-4:坐标系与参数方程.已知直线l 的参数方程为431x t ay t =-+⎧⎨=-⎩(t 为参数),在直角坐标系xOy 中,以O 点为极点,x 轴的非负半轴为极轴,以相同的长度单位建立极坐标系,设圆M 的方程为26sin 8ρρθ-=-. (1)求圆M 的直角坐标方程;(2)若直线l 截圆M ,求实数a 的值.【答案】(1)22(3)1x y +-=;(2)376a =或92a =.考点:1.导数的运用;2.分类讨论的数学思想. 24.(本小题满分10分)选修4-5:不等式选讲 已知不等式|2||2|18x x ++-<的解集为A . (1)求集合A ;(2)若a ∀,b A ∈,(0,)x ∈+∞,不等式4a b x m x+<++ 恒成立,求实数m 的取值范围. 【答案】(1)(9,9)A =-;(2)14m ≥. 【解析】试题分析:(1)对x 的取值情况分类讨论将绝对值号去掉,即可求解;(2)根据(1)中求得的A ,再结合问题,可知其等价于min 4()a b x m x+<++,再利用基本不等式求最值即可. 试题解析:(1)若|2||2|18x x ++-<,则2(2)(2)18x x x <-⎧⎨-+--<⎩或22(2)(2)18x x x -≤≤⎧⎨+--<⎩或2(2)(2)18x x x >⎧⎨++-<⎩,解得99x -≤≤,∴(9,9)A =-;(2)∵a ∀,b A a ∈⇒∀,(9,9)b ∈-,∴(18,18)a b +∈-,∵4x m m x ++≥+,∴min 4()4x m m x++=+,由题可知,418m +≥,m .∴14考点:1.绝对值不等式;2.基本不等式求最值;3.恒成立问题;4.分类讨论的数学思想.:。
甘肃省河西部分高中(张掖中学、嘉峪关一中、山丹一中)2016届高三上学期期中联考历史试题第I卷(选择题,共50分)1.“譬犹从一大树中截枝分栽,别成一独立之新根干。
”这形容的是A.分封制 B.王位世袭制 C.宗法制 D.郡县制【答案】A【解析】试题分析:本题材料“譬犹从一大树中截枝分栽,别成一独立之新根干。
”反映了西周周王对王族、功臣、先代帝王后代分封土地和人囗,建立诸侯国的现象,“一大树”指周王室,“独立之新根干”指诸侯国,因此选A。
BCD都不符合材料及知识,排除。
考点:古代中国的政治制度·夏、商、西周的政治制度·分封制2.小说《白鹿原》中,在白鹿村族长白嘉轩的提议下,白鹿村的村民共同出资修造了新的家族祠堂。
这反映宗法制①以血缘关系为基础②尊崇祖先③维系亲情④嫡长子继承制A. ①②③B. ①③④C. ②③④D. ①②③④【答案】A【解析】试题分析:本题材料“在白鹿村族长白嘉轩的提议下,白鹿村的村民共同出资修造了新的家族祠堂”反映了白鹿村的宗法制特点,即以血缘关系为基础,尊崇祖先,维系亲情,结合所学知识,因此选A。
④嫡长子继承制不符合材料信息,排除。
考点:古代中国的政治制度·夏、商、西周的政治制度·宗法制3.台湾学者许悼云在描述中国古代政治制度时说:“帝国时代延续两千年的奥秘即在于,君主专制的刚性与官僚高度流动的柔性相结合。
”这一论断说明了中国封建时代政治制度的特点是A. 中央集权和地方分权相结合B. 君主专制和中央集权相结合C. 宗法制和分封制结合D.“家天下”与“公天下”共存【答案】D【解析】试题分析:本题主要考查中国古代政治制度的特点。
依据材料信息“君主专制的刚性与官僚高度流动的柔性相结合”解答。
结合所学知识,君主专制下,君主是世袭的、终身的;实行官僚政治,中央与地方官员一概由皇帝任免,而封建社会是家国同构的,D项正确。
A、B、C不符合材料及知识,排除。
甘肃省河西部分高中(张掖中学、嘉峪关一中、山丹一中) 2016届高三上学期期中联考数学(理科)命题学校:张掖中学 命题教师:江启李 钱守忠注:本试卷分第Ⅰ卷(选择题)和第Ⅱ卷(非选择题);满分150分,考试时间120分钟。
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.已知集合{}220P x x x =-≥,Q {}12x x =<≤,则R P = Q ð( ) A. [)0,1 B. (]0,2 C. ()1,2 D. []1,2 2.下列函数中,既不是奇函数,也不是偶函数的是( )A .x x y 1+=B . xe x y += C .x x y 212+= D .21x y += 3.下列函数中,最小正周期为π且图象关于原点对称的函数是( )A. cos 22y x π⎛⎫=+⎪⎝⎭B.sin 22y x π⎛⎫=+⎪⎝⎭C.sin 2cos 2y x x =+D.sin cos y x x =+ 4. 函数43y x =的图象是 ( )A .B .C .D .5. 设命题P :“**,()n N f n N ∀∈∈ 且()f n n ≤, 则⌝P 为( )A. ,()n N f n N **∀∈∉且()f n n > B. ,()n N f n N **∀∈∉或()f n n >C. 00,()n N f n N **∃∈∉且00()f n n > D. 00,()n N f n N **∃∈∉或00()f n n >6. 设x R ∈ ,则“21x -< ”是“220x x +-> ”的( )A. 充分不必要条件B. 必要不充分条件C . 充要条件 D. 既不充分也不必要条件7.在△ABC 中,内角A ,B ,C 的对边分别为a ,b ,c . 若22()6c a b =-+,3C π=,则△ABC的面积是( )A.3 D.8.一段圆弧的长度等于其内接正三角形的边长,则其圆心角的弧度数为( )A.3πB.23π9.已知函数cos y x x ωω+(0)ω>的图象与直线2y =的两个相邻交点的距离等于π,则()f x 的单调递增区间是( )A.5,1212k k ππππ⎡⎤-+⎢⎥⎣⎦,k Z ∈B.511,1212k k ππππ⎡⎤++⎢⎥⎣⎦,k Z ∈ C.,36k k ππππ⎡⎤-+⎢⎥⎣⎦, k Z ∈ D.2,63k k ππππ⎡⎤++⎢⎥⎣⎦,k Z ∈ 10. 函数0.5()2log 1x f x x =-的零点个数为( ) A. 1 B. 2 C.3 D. 4 11.已知定义在R 上的函数()21x mf x -=- (m 为实数)为偶函数,记()()0.52(log 3),log 5,2a f b f c f m === ,则,,a b c 的大小关系为( )A.a b c << C. c b a <<B.c a b << D. a c b <<12.对二次函数2()f x ax bx c =++(a 为非零常数),四位同学分别给出下列结论,其中有且仅有一个结论是错误的,则错误的结论是( )A .1-是()f x 的零点B .1是()f x 的极值点C . 3是()f x 的极值D . 点(2,8)在曲线()y f x =上第II 卷(非选择题共90分)二、填空题:本大题共4小题,每小题5分,共20分,把答案填在答题卡的相应位置。
13.=+75sin 15sin .14.如下图(左),点A的坐标为(1,0),点C的坐标为(2,4),函数()2f x x=,若在矩形ABCD 内随机取一点,则此点取自阴影部分的概率等于.15.如上图(右),一辆汽车在一条水平的公路上向正西行驶,到A处时测得公路北侧一山顶D在西偏北30 的方向上,行驶600m后到达B处,测得此山顶在西偏北75 的方向上,仰角为30 ,则此山的高度CD=m.16.若函数()6,2,3log,2,ax xf xx x-+≤⎧=⎨+>⎩(0a>且1a≠)的值域是[)4,+∞,则实数a的取值范围是.三、解答题:本大题共6小题,共70分.解答应写出文字说明,证明过程或演算步骤.17.(本小题满分10分)已知tan()34πα+=+(Ⅰ)求tanα的值;(Ⅱ)求223cos()sin()cos()2sin()22πππααααπ-++++-的值.18.(本小题满分12分)某同学用“五点法”画函数π()sin()(0,||)2f x A xωϕωϕ=+><在某一个周期内的图象时,列表并填入了部分数据,如下表:(Ⅰ)请将上表数据补充完整,填写在答题卡上相应位置...........,并直接写出函数()f x的解析式;(Ⅱ)将()y f x=图象上所有点向左平行移动θ(0)θ>个单位长度,得到()y g x=的图象. 若()y g x=图象的一个对称中心为5π(,0)12,求θ的最小值.19.(本小题满分12分)在锐角△ABC 中,角A ,B ,C 的对边分别为a ,b ,c ,且cos cos cos b C B c B =-(I )求角B 的值;(II )设A θ=,求函数()22sin 24f πθθθ⎛⎫=+ ⎪⎝⎭的取值范围.20.(本小题满分12分)设命题p :函数3()1f x x ax =--在区间[]1,1-上单调递减;命题q :2ln(1)y x ax =++的值域是R .如果命题p 或q 为真命题,p 且q 为假命题,求a 的取值范围.21.(本小题满分12分) 已知函数ln ()1xf x x=- (Ⅰ)试判断函数()f x 的单调性;(Ⅱ)设0m >,求()f x 在[],2m m 上的最大值.22.(本小题满分12分)设函数()1ln x xbe f x ae x x -=+,曲线()y f x =在点()1,(1)f 处的切线方程为(1)2y e x =-+(Ⅰ)求a ,b ; (Ⅱ)证明:()1f x >.2015-2016学年第一学期高三期中联考试卷理科数学 参考答案一、选择题:1----5 CBAAD 6---10 ACDCB 11--12 BA 二、填空题:13.2. 14. 512 15.(1,2]三、解答题17.(本小题满分12分) 【解】(Ⅰ)由已知得1tan 31tan αα+=+-tan α∴=分(Ⅱ)原式22cos (cos )(sin )2sin αααα=+--+=2222cos cos sin 2sin cos sin αααααα++=+221tan 2tan 1tan ααα++==+221222431⎛++ +⎝⎭==+⎝⎭...............10分 18(本小题满分12分)【解】(Ⅰ)根据表中已知数据,解得π5,2,6A ωϕ===-. 数据补全如下表:且函数表达式为()5sin(2)6f x x =- ...............6分(Ⅱ)由(Ⅰ)知 π()5sin(2)6f x x =-,得π()5sin(22)6g x x θ=+-.因为sin y x =的对称中心为(π,0)k ,k ∈Z . 令π22π6x k θ+-=,解得ππ212k x θ=+-,k ∈Z . 由于函数()y g x =的图象关于点5π(,0)12成中心对称,令ππ5π21212k θ+-=,解得ππ23k θ=-,k ∈Z . 由0θ>可知,当1k =时,θ取得最小值π6...............12分 19.(本小题满分12分)【解】(I )由正弦定理C R c B R b A R a sin 2,sin 2,sin 2===,得sin cos cos sin cos B C B C A B +=sin()cos ,sin cos cos 4B C A B A A B B B π∴+=∴=∴=∴=…………………………………………6分(Ⅱ)锐角△ABC 中,34A B π+=, (,)42ππθ∈2π()2sin 24f θθθ⎛⎫=+ ⎪⎝⎭π1cos 222θθ⎡⎤⎛⎫=-+ ⎪⎢⎥⎝⎭⎣⎦(1sin 2)2θθ=+πsin 2212sin 213θθθ⎛⎫=-+=-+ ⎪⎝⎭.(,)42ππθ∈ ,22(,)363πππθ∴-∈,π22sin 2133∴≤θ⎛⎫<-+ ⎪⎝⎭.所以,函数)(θf 的取值范围是(2,3] 12 分 20.(本小题满分12分)【解】若p 为真命题,则2()30f x x a '=-≤在[]1,1-上恒成立23a x ⇔≥在[]1,1-上恒成立3a ⇔≥.q 为真命题⇔240a ∆=-≥⇔2a ≤-或2a ≥...............6分由题意p 和q 有且只有一个为真命题,p 真q 假⇔322a a ≥⎧⎨-<<⎩⇔a φ∈ p 假q 真⇔322a a or a <⎧⎨≤-≥⎩⇔2a ≤-或23a ≤< 综上所述,(][),22,3a ∈-∞- ...............12分 21.(本小题满分12分) 【解】(I )函数()f x 的定义域是(0,)+∞, 由已知得21ln ()xf x x-'=, 令()0f x '=得x e =,当0x e <<时,()0f x '>; 当x e >时,()0f x '<;所以()f x 在()0,e 单调递增,在(),e +∞单调递减.…………6分 (Ⅱ)由(I )得()f x 在(]0,e 单调递增,在[),e +∞单调递减. 当02em <≤时,()f x 在[],2m m 单调递增, ()max ln 2()212mf x f m m∴==- 当m e ≥时,()f x 在[],2m m 单调递减, ()max ln ()1mf x f m m∴==- 当2em e <<时,()f x 在[],m e 上单调递增,在[],2e m 上单调递减, ()max l()1f x f e e∴==-12 分 22.(本小题满分12分)(I )解:函数()f x 的定义域为(0,)+∞,112()ln x x x x a b bf x ae x e e e x x x--'=+-+,由题意得(1)2f =,(1)f e '=, 故1a =,2b =…………6分(Ⅱ)证明:由(I )得()12ln x xe f x e x x-=+,从而()1f x >⇔2ln x x x xe e ->-.设函数()ln g x x x =,则()1ln g x x '=+,当1(0,)x e ∈时,()0g x '<;当1(,)x e∈+∞时,()0g x '>;故()g x 在1(0,)e 上单调递减,在1(,)e+∞上单调递增;从而()g x 在(0,)+∞上的最小值为11()g e e=-;设函数2()x h x xe e-=-,则()(1)x h x e x -'=-; 所以当01x <<时,()0h x '>; 当1x >时,()0h x '<, 故()h x 当在(0,1)上单调递增,在(1,)+∞上单调递减;从而()h x 在(0,)+∞上的最大值为1(1)h e=-;综上,当0x >时有()()g x h x >,即()1f x >12 分。