高考冲刺押题1(必拿分题)(参考答案)
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宁夏银川市第一中学2025届高考冲刺押题(最后一卷)语文试卷注意事项:1.答题前,考生先将自己的姓名、准考证号填写清楚,将条形码准确粘贴在考生信息条形码粘贴区。
2.选择题必须使用2B铅笔填涂;非选择题必须使用0.5毫米黑色字迹的签字笔书写,字体工整、笔迹清楚。
3.请按照题号顺序在各题目的答题区域内作答,超出答题区域书写的答案无效;在草稿纸、试题卷上答题无效。
4.保持卡面清洁,不要折叠,不要弄破、弄皱,不准使用涂改液、修正带、刮纸刀。
1、阅读下列材料,按照要求作文。
武汉疫情,牵动着国人的心,以下六则材料均来自于有关疫情的报道。
①和时间赛跑!武汉市政府参照北京小汤山急救医院模式,仅仅耗时6天建设起可容纳1000张病床的专用救治医院。
②钟南山教授再次临危受命,出任国家卫健委高级别专家组组长。
18日傍晚,84岁的他义无反顾地赶往武汉防疫最前线。
连日来,实地了解疫情、研究防控方案、参加新闻发布会……他的工作和行程安排得满满当当。
③疫情就是战斗,通知就是号角。
疫情发生后,武汉各大医院全力以赴抗击冠状病毒,10万医护人员超负荷工作,他们以血肉之躯,筑成守护家园、保卫武汉的长城堡垒。
④一方有难,八方支援。
大年初一接到组派医疗队驰援湖北的通知,河南大学各附属医院医护人员纷纷主动请缨。
24小时内,52名医务人员集结完毕,整装待发。
截至1月28日,共有30支医疗队、4130人已经到达湖北开展工作。
⑤很多身处武汉的普通民众,不惧疫情蔓延,主动投入到防疫一线做志愿者;有的武汉人暂时没发现身体异常,也坚定地选择留在武汉,避免出去后,万一感染到其他人。
⑥对新型冠状病毒感染的肺炎疫情作重要指示,强调要把人民群众生命安全和身体健康放在第一位,坚决遏制疫情蔓延势头。
读完以上新闻,你觉得哪几则最能振奋人心?请以其中两则或三则为基础确定立意,注意彼此逻辑,写一篇文章。
要求自选角度,明确文体,自拟标题;不要套作,不得抄袭。
2、阅读下面的文字,完成下面小题。
四川省成都市2024高三冲刺(高考数学)人教版测试(押题卷)完整试卷一、单选题:本题共8小题,每小题5分,共40分 (共8题)第(1)题已知集合,集合,则()A.B.C.D.第(2)题若双曲线的一条渐近线经过点,则此双曲线的离心率为A.B.C.D.第(3)题已知集合,则()A.B.C.D.第(4)题如果执行右面的框图,输入,则输出的数等于()A.B.C.D.第(5)题已知,若对任意,关于x的不等式(e为自然对数的底数)至少有2个正整数解,则实数a的取值范围是()A.B.C.D.第(6)题若实数满足,则的最小值为A.B.2C.D.4第(7)题如图,在棱长为2的正方体中,内部有一个底面垂直于的圆锥,当该圆锥底面积最大时,圆锥体积最大为()A.B.C.D.第(8)题“基础学科拔尖学生培养试验计划”简称“珠峰计划”,是国家为回应“钱学森之问”而推出的一项人才培养计划,旨在培养中国自己的学术大师.已知浙江大学、复旦大学、武汉大学、中山大学均有开设数学学科拔尖学生培养基地,某班级有5位同学从中任选一所学校作为奋斗目标,则每所学校至少有一位同学选择的不同方法数共有()A.120种B.180种C.240种D.300种二、多选题:本题共3小题,每小题6分,共18分 (共3题)第(1)题已知函数,若函数的图象在区间上的最高点和最低点共有6个,下列说法正确的是()A.在上有且仅有5个零点B.在上有且仅有3个极大值点C.的取值范围是D.的取值范围是第(2)题甲、乙两人进行局羽毛球比赛(无平局),每局甲获胜的概率均为.规定:比赛结束时获胜局数多的人赢得比赛.记甲赢得比赛的概率为,假设每局比赛互不影响,则( )A.B.C.D.单调递增第(3)题设A,B是抛物线上的两点,是坐标原点,下列结论成立的是()A.若,则B.若,直线AB过定点C.若,O到直线AB的距离不大于1D.若直线AB过抛物线的焦点F,且,则三、填空题:本题共3小题,每小题5分,共15分 (共3题)第(1)题写出一个被直线平分且与直线相切的圆的方程:________.第(2)题在中,若,则三角形ABC为___________三角形.(填“锐角”、“钝角”或“直角”)第(3)题已知随机变量X~N(2,σ2),若P(X≥4)=0.1,则P(0<X<4)=___________.四、解答题:本题共5小题,每小题15分,最后一题17分,共77分 (共5题)第(1)题已知椭圆方程为(),离心率为且过点.(1)求椭圆方程;(2)动点在椭圆上,过原点的直线交椭圆于A,两点,证明:直线、的斜率乘积为定值;(3)过左焦点的直线交椭圆于,两点,是否存在实数,使恒成立?若存在,求此时的最小值;若不存在,请说明理由.第(2)题“博弈”原指下棋,出自我国《论语·阳货》篇,现在多指一种决策行为,即一些个人、团队或组织,在一定规则约束下,同时或先后,一次或多次,在各自允许选择的策略下进行选择和实施,并从中各自取得相应结果或收益的过程.生活中有很多游戏都蕴含着博弈,比如现在有两个人玩“亮”硬币的游戏,甲、乙约定若同时亮出正面,则甲付给乙3元,若同时亮出反面,则甲付给乙1元,若亮出结果是一正一反,则乙付给甲2元.(1)若两人各自随机“亮”出正反面,求乙收益的期望.(2)因为各自“亮”出正反面,而不是抛出正反面,所以可以控制“亮”出正面或反面的频率(假设进行多次游戏,频率可以代替概率),因此双方就面临竞争策略的博弈.甲、乙可以根据对手出正面的概率调整自己出正面的概率,进而增加自己赢得收益的期望,以收益的期望为决策依据,甲、乙各自应该如何选择“亮”出正面的概率,才能让结果对自己最有利?并分析游戏规则是否公平.第(3)题已知分别是的内角所对的边,.(1)证明:;(2)若,求.第(4)题已知焦点在轴上的椭圆上的点到两个焦点的距离和为10,椭圆经过点.(1)求椭圆的标准方程;(2)过椭圆的右焦点作与轴垂直的直线,直线上存在、两点满足,求△面积的最小值;(3)若与轴不垂直的直线交椭圆于、两点,交轴于定点,线段的垂直平分线交轴于点,且为定值,求点的坐标.第(5)题某企业生产的产品具有60个月的时效性,在时效期内,企业投入50万元经销该产品,为了获得更多的利润,企业将每月获得利润的10%再投入到次月的经营中,市场调研表明,该企业在经销这个产品的第个月的利润是(单位:万元),记第个月的当月利润率为,例.(1)求第个月的当月利润率;(2)求该企业在经销此产品期间,哪一个月的当月利润率最大,并求出该月的当月利润率.。
清华大学附中2025届高考冲刺押题(最后一卷)数学试卷注意事项:1.答题前,考生先将自己的姓名、准考证号填写清楚,将条形码准确粘贴在考生信息条形码粘贴区。
2.选择题必须使用2B铅笔填涂;非选择题必须使用0.5毫米黑色字迹的签字笔书写,字体工整、笔迹清楚。
3.请按照题号顺序在各题目的答题区域内作答,超出答题区域书写的答案无效;在草稿纸、试题卷上答题无效。
4.保持卡面清洁,不要折叠,不要弄破、弄皱,不准使用涂改液、修正带、刮纸刀。
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.已知是球的球面上两点,,为该球面上的动点.若三棱锥体积的最大值为36,则球的表面积为()A.36πB.64πC.144πD.256π2.函数()3sin 3xf x xπ=+的图象的大致形状是()A.B.C.D.3.231+=-ii()A.15i22-+B.1522i--C.5522i+D.5122i-4.如图所示的茎叶图为高三某班50名学生的化学考试成绩,算法框图中输入的1a,2a,3a,,50a为茎叶图中的学生成绩,则输出的m,n分别是()A .38m =,12n =B .26m =,12n =C .12m =,12n =D .24m =,10n =5.执行如图所示的程序框图,若输入ln10a =,lg b e =,则输出的值为( )A .0B .1C .2lg eD .2lg106.设复数z 满足|3|2z -=,z 在复平面内对应的点为(,)M a b ,则M 不可能为( ) A .(2,3) B .(3,2)C .(5,0)D .(4,1)7.已知集合(){}*,|4,M x y x y x y N =+<∈、,则集合M 的非空子集个数是( )A .2B .3C .7D .88.如图,这是某校高三年级甲、乙两班在上学期的5次数学测试的班级平均分的茎叶图,则下列说法不正确的是( )A .甲班的数学成绩平均分的平均水平高于乙班B .甲班的数学成绩的平均分比乙班稳定C .甲班的数学成绩平均分的中位数高于乙班D .甲、乙两班这5次数学测试的总平均分是103 9.i 是虚数单位,21iz i=-则||z =( )A .1B .2C .2D .2210.已知双曲线2222:1(0,0)x y C a b a b-=>>的焦距为2c ,过左焦点1F 作斜率为1的直线交双曲线C 的右支于点P ,若线段1PF 的中点在圆222:O x y c +=上,则该双曲线的离心率为( ) A .2B .22C .21+D .221+11.已知函数3sin ()(1)()x xx xf x x m x e e-+=+-++为奇函数,则m =( ) A .12B .1C .2D .312.已知向量()22cos ,3m x =,()1,sin2n x =,设函数()f x m n =⋅,则下列关于函数()y f x =的性质的描述正确的是( )A .关于直线12x π=对称B .关于点5,012π⎛⎫⎪⎝⎭对称 C .周期为2πD .()y f x =在,03π⎛⎫-⎪⎝⎭上是增函数 二、填空题:本题共4小题,每小题5分,共20分。
安徽省部分高中2025届高考冲刺押题(最后一卷)数学试卷注意事项:1.答题前,考生先将自己的姓名、准考证号码填写清楚,将条形码准确粘贴在条形码区域内。
2.答题时请按要求用笔。
3.请按照题号顺序在答题卡各题目的答题区域内作答,超出答题区域书写的答案无效;在草稿纸、试卷上答题无效。
4.作图可先使用铅笔画出,确定后必须用黑色字迹的签字笔描黑。
5.保持卡面清洁,不要折暴、不要弄破、弄皱,不准使用涂改液、修正带、刮纸刀。
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{}2|3100M x x x =--<,{}29N x y x ==-,且M 、N 都是全集R (R 为实数集)的子集,则如图所示韦恩图中阴影部分所表示的集合为( )A .{}35x x <≤ B .{3x x <-或}5x >C .{}32x x -≤≤-D .{}35x x -≤≤2.如图,用一边长为2的正方形硬纸,按各边中点垂直折起四个小三角形,做成一个蛋巢,将体积为43π的鸡蛋(视为球体)放入其中,蛋巢形状保持不变,则鸡蛋中心(球心)与蛋巢底面的距离为( )A .22B .32C .212+ D .312+ 3.已知水平放置的△ABC 是按“斜二测画法”得到如图所示的直观图,其中B ′O ′=C ′O ′=1,A ′O ′=32,那么原△ABC 的面积是( )A 3B .2C 3D 34.己知函数()()1,0,ln ,0,kx x f x x x ->⎧=⎨--<⎩若函数()f x 的图象上关于原点对称的点有2对,则实数k 的取值范围是( )A .(),0-∞B .()0,1C .()0,∞+D .10,2⎛⎫ ⎪⎝⎭5.已知角θ的顶点与原点重合,始边与x 轴的正半轴重合,终边经过点()1,2P ,则cos2θ=( ) A .35B .45-C .35D .456.已知定义在R 上的偶函数()f x ,当0x ≥时,22()2xx x f x e +=-,设2(ln 2),(2),(ln )2a fb fc f ===,则( ) A .b a c >>B .b a c >=C .a c b =>D .c a b >>7.已知三棱锥D ABC -的体积为2,ABC 是边长为2的等边三角形,且三棱锥D ABC -的外接球的球心O 恰好是CD 中点,则球O 的表面积为( ) A .523πB .403πC .253πD .24π8.已知公差不为0的等差数列{}n a 的前n 项的和为n S ,12a =,且139,,a a a 成等比数列,则8S =( ) A .56B .72C .88D .409.如下的程序框图的算法思路源于我国古代数学名著《九章算术》中的“更相减损术”.执行该程序框图,若输入的a ,b 分别为176,320,则输出的a 为( )A .16B .18C .20D .1510.某四棱锥的三视图如图所示,则该四棱锥的表面积为( )A .8B .83C .822+D .842+11.函数()()sin f x A x =+ωϕ(其中0A >,0>ω,2πϕ<)的图象如图,则此函数表达式为( )A .()3sin 24f x x π⎛⎫=+⎪⎝⎭B .()13sin 24f x x π⎛⎫=+⎪⎝⎭C .()3sin 24f x x π⎛⎫=-⎪⎝⎭D .()13sin 24πf x x ⎛⎫=- ⎪⎝⎭12.将一张边长为12cm 的纸片按如图(1)所示阴影部分裁去四个全等的等腰三角形,将余下部分沿虚线折叠并拼成一个有底的正四棱锥模型,如图(2)放置,如果正四棱锥的主视图是正三角形,如图(3)所示,则正四棱锥的体积是( )A .33263cm B .36463cm C .33223cm D .36423cm 二、填空题:本题共4小题,每小题5分,共20分。
冲刺2021届高考英语押题模拟卷(一)参考答案第一部分听力1. B2. A3. B4. C5. A6. C7. B8. A9. C 10. C11. B 12. A 13. C 14. A 15. B16. A 17. C 18. B 19. A 20. C第二部分阅读理解21-23 BDB 24—26 CAA 27—30 ACDB第三部分语言运用完形:CDABA DABBA BCDCC DABCD56.being 57. va rious 58. how 59. himself 60. to keep61. which 62. have tried 63. held 64. encouragements 65. in第四部分写作第一节:应用文写作(满分15 分)第一节:应用文写作(满分15分)一、评分原则1. 本题总分为15分,按5个档次给分。
2. 评分时,先根据文章的内容和语言初步确定其所属档次,然后以该档次的要求来衡量、确定或调整档次,最后给分。
3. 词数少于60和多于100的,从总分中减去2分。
4. 评分时,应注意的主要内容为:内容要点、应用词汇和语法结构的丰富性和准确性及上下文的连贯性。
5. 拼写与标点符号是语言准确性的一个方面,评分时,应视其对交际的影响程度予以考虑。
英美拼写及词汇用法均可接受。
6. 如书写较差,以至影响交际,将分数降低一个档次。
二、各档次的给分范围和要求档次描述第五档(13~15分)完全完成了试题规定的任务。
•覆盖所有内容要点;•应用了较多的语法结构和词汇;•语法结构或词汇方面有些许错误,但为尽力使用较复杂结构或较高级词汇所致;具备较强的语言应用能力;•有效地使用了语句间的连接成分,使全文结构紧凑;完全达到了预期的写作目的。
第四档(10~12分)完全完成了试题规定的任务。
•虽漏掉1、2个次重点,但覆盖所有主要内容;•应用的语法结构和词汇能满足任务的要求;•语法结构或词汇方面应用基本准确,些许错误主要是因尝试较复杂语法结构或词汇所致;•应用简单的语句间连接成分,使全文结构紧凑;达到了预期的写作目的。
湖北省部分重点中学2021年高考冲刺联合押题(一)数学试卷一、单项选择题(本题共8小题,每小题5分,共40分。
在每小题给出的四个选项中,只有一项是符合题目要求。
) 1.(原创,易)已知复数34iz i-=,则复数z 在复平面内对应的点位于() .A 第一象限 .B 第二象限 .C 第三象限.D 第四象限答案:.C解:因为i ii i i i z 34434322--=-=-=,所以复数i i z 43-=在复平面内对应的点位于第三象限。
故选:.C2.(原创,易)已知平面//α平面β,直线a α⊂,直线b β⊂,则直线a 与直线b 的位置关系不可能是.A 相交.B 垂直 .C 平行.D 异面答案:.A解:画出大致图形或结合教室的天花板和地板不难得到答案.A3.(原创,易)集合论是德国数学家康托尔于19世纪末创立的。
在他的集合理论中,用()card M 表示有限集合M 中元素的个数,如{}1,2,3,4M=,则有()4card M =。
若对于任意两个有限集合,M N ,有()()()()card M N card M card N card M N =+-。
某校举办秋季运动会,{}()=11card 高三(20)班参加田赛的学生,{}()=10card 高三(20)班参加径赛的学生,{}()=4card 高三(20)班参加田赛与径赛的学生,那么 {}()card 高三(20)班参加运动会的学生().A 25人.B 14人.C 15人.D 17人答案:.D解:关键是读懂题意,按照题意定义的要求很快得到答案.D4.(原创,易)某椭圆或双曲线的标准方程对应的图形经过点(,则关于该图形判断正确的是.A 焦点在x 轴上的双曲线.B 焦点在y 轴上的双曲线 .C 焦点在x 轴上的椭圆.D 焦点在y 轴上的椭圆答案:.B解:依题意设方程为221,(0)mx ny mn +=≠则有23121m n n +=⎧⎨=⎩可得0,0m n <>,故选:.B5.(原创,易)已知2tan =α,则αααααcos sin cos cos 2sin 3+-的值为.A 37-.B 37.C 15-.D 15答案:.D解:依题意323222sin 2cos cos 2sin cos cos sin cos (sin cos )(sin cos )2tan 11(tan 1)(tan 1)5ααααααααααααααα--=+++-==++6.(原创,中)已知()f x 是定义在R 上的偶函数,且在区间[0,)+∞上单调递减。
2023年高考数学冲刺押题密卷及答案2023年高考数学冲刺押题密卷及答案数学最后冲刺环节,就可以课本上的习题为准,反复练习并打好基础,再找一些课外的习题,这样可以帮助拓展思路,提高自己的分析能力和解题能力。
下面是小编为大家整理的高考数学冲刺押题密卷及答案,希望对您有所帮助!高考数学冲刺押题密卷高考数学冲刺押题密卷答案2023年高考数学万能答题模板整理1、数学三角变换与三角函数的性质问题一、解题路线图①不同角化同角;②降幂扩角;③化f(x)=Asin(ωx+φ)+h;④结合性质求解。
二、构建答题模板①化简:高考数学三角函数式的化简,一般化成y=Asin(ωx+φ)+h的形式,即化为“一角、一次、一函数”的形式。
②整体代换:将ωx+φ看作一个整体,利用y=sinx,y=cosx的性质确定条件。
③求解:利用ωx+φ的范围求条件解得函数y=Asin(ωx+φ)+h的性质,写出结果。
④反思:反思回顾,查看关键点,易错点,对结果进行估算,检查数学三角变换与三角函数结果是否规范性。
2、高考数学数列的通项、求和问题一、解题路线图①先求某一项,或者找到数列的关系式。
②求通项公式。
③求数列和通式。
二、构建答题模板①找递推:根据已知条件确定数列相邻两项之间的关系,即找数列的递推公式。
②求通项:根据数学数列递推公式转化为等差或等比数列求通项公式,或利用累加法或累乘法求通项公式。
③定方法:根据数列表达式的结构特征确定求和方法(如公式法、裂项相消法、错位相减法、分组法等)。
④写步骤:高考数学答题最重要的就是步骤呈现,规范写出求和步骤。
⑤再反思:反思回顾,查看关键点、易错点及解题规范。
3、高考数学圆锥曲线中的范围问题一、解题路线图①设方程。
②解系数。
③得结论。
二、构建答题模板①提关系:从题设条件中提取不等关系式。
②找函数:用一个变量表示目标变量,代入不等关系式。
③得范围:通过求解含目标变量的不等式,得所求参数的范围。
④再回顾:注意目标变量的范围所受题中其他因素的制约。
高考必刷卷押题6套英语参考答案高考必刷卷押题6套英语一、(共5小题;每小题1分,满分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.1.How does the man find the cookies?A.Very good.B.Very bad.C.Just soso.2.What might be the woman?A.A manager.B.An operator.C.A customer.3.What does the man want to do?A.Save the woman her place.B.Wait in line.C.Go to the bathroom.4.What probably happened to Mike and Cathy?A.They got engaged.B.They got married.C.They broke up.5.Why doesnt the woman feel like going to the Mall?A.She is not interested.B.She is short of money.C.She is not feeling well.二、(共5小题;每小题2分,满分15分)听下面5段对话或独白.每段对话或独白后有几个小题,从题中所给的A、B、C三个选项中选出最佳选项,并标在试卷的相应位置.听每段对话或独白前,你将有时间阅读各个小题,每小题5秒钟;听完后,各小题将给出5秒钟的作答时间.每段对话或独白读两遍.6.(2分)听第6段材料,回答第6、7题.6.Why did the man oversleep again?A.His clock didnt go off this morning.B.He didnt set the alarm last night.C.He was probably very lazy.7.What is the possible relationship between the man and the woman?A.Husband and wife.B.Student and professor.C.Employee and employer.8.(2分)听第7段材料,回答第8、9题.8.What did the man tell the woman never to let go of?A.Her promise to win the ticket.B.Her promise to survive.C.Her promise to love him.9.Which of the following is true?A.The woman had lots of babies.B.The man was grateful for having met the woman.C.The man was feeling hopeless for the woman.10.(3分)听第8段材料,回答第10至12题.10.Whats wrong with the man?A.He has had athletes foot.B.He has pus gushing out and rashes all over his legs.C.He has got heat burns.11.What is the probable relationship between the speakers?A.Doctor and patient.B.Husband and wife.C.Friends.12.How can one avoid having athletes foot?A.Apply some cream to the toes.B.Keep ones feet dry and clean.C.Let the fungus grow and spread quickly.13.(4分)听第9段材料,回答第13至16题.13.Where will the couple get married?A.In the womans hometown.B.In the mans hometown.C.Outside their hometown.14.How will the man probably choose his best man?A.Choose whichever friend can give the best toast.B.Choose whichever friend can plan the reception.C.Choose whichever friend knows all their inlaws.15.Who is supposed to plan the rehearsal dinner?A.The brides family.B.A wedding planner.C.The grooms family.16.Why doesnt the woman want to get a wedding planner?A.She doesnt think it is a tradition.B.She thinks a wedding planner is too busy.C.She doesnt want a stranger to plan their wedding.17.(4分)听第10段材料,回答第17至20题.17.How many suspects died in California shooting?A.OneB.TwoC.Three18.How did the suspects die?A.They killed themselves.B.They were killed by the police.C.They were arrested and sentenced to death.19.Who did Barack Obama think should work to make mass shootings rare?A.The police.B.FBI.C.All political parties.20.Which is the worst mass shooting?A.The attack in California on Wednesday.B.The attack in Colorado Springs a week ago.C.The Connecticut shooting in 2012.三、单项填空(共15小题;每小题1分,满分15分)请阅读下面各题,从题中所给的A、B、C、D四个选项中选出最佳选项.21.To my father,theres no greater happiness than of succeeding in his career.()A.itB.oneC.thatD.the one22.As Charles Darwin wrote in The Descent of Man,"The highest possible stage in moral culture is we recognize that we ought to control our minds."()A.thatB.howC.whereD.when23.However difficult it seems to be,you will make it you put your heart into it.()A.so thatB.as thoughC.as long asD.in that24.Just as Martin Luther King,Jr.said,peace is not merely a distant goal that we seek,but a means we arrive at that goal.()A.in whichB.with whichC.by whichD.to which25.This sustainable development needs to be different from past development,which the pollution of the environment and waste of natural resources.()A.causedB.will causeC.had causedD.causes26. on the cyberspace issue in a speech at a welcoming dinner in Seattle,Xi Jinping called on all countries to cooperate and draw up Internet policies corresponding with their national conditions.()A.TouchedB.TouchingC.TouchD.To touch27.A biblical idiom is often an expression that the moral of a story and gives the audience a picture to help them understand the story better.()A.underlinesB.assessesC.substitutesD.fascinates28.The of cultures between Europeans and the Romany led to many nations taking action against them.()A.cooperationB.similarityC.conventionD.collision29.Journalists are evenly split on whether or not they should interview their personal heroes:some say you shouldnt because youll find your idol has ,while others argue the opportunity is too good to miss.()A.butterflies in his stomachB.a green fingerC.feet of clayD.a wet blanket30.We welcome you to use this area for your baby buggy(童车).However,a wheelchair user board the bus,you are not supposed to use this special area.()A.wouldB.mightC.shouldD.could31.The next train to arrive at Platform One will be the 10:58 Abellio Greater Anglia service to London Liverpool Street,calling Ingatestone,Shenfield,Stratford and London Liverpool Street.()A.onB.offC.forD.at32.It is amazing how quickly the idea"The world is so big and I warn to see it" throughout the country and everybody seemed to be talking about it.()A.caught onB.hung onC.went onD.carried on33.When a child is to peanuts,families must closely monitor everything the child eats both in and outside the home,because accidental consumption of peanuts could cause death.()A.allergicB.addictiveC.accustomedD.apparent34.According to the news report,France has decided to expand governments security powers Paris attacks.()A.in search ofB.in the wake ofC.in memory ofD.in the case of35. ?Your dog can get jealous when you pay attention to other dogs,other people or even other things.()A.Guess whatB.How comeC.Whats upD.Why not四、完形填空(共1小题;每小题20分,满分20分)请阅读下面短文,从短文后各题所给的A、B、C、D四个选项中,选出最佳选项.36.(20分)It gives me a great pleasure to join you for this important initiative(倡议) as the UN (36) its 70th anniversary.Education is very (37) in my heart.My father (38) in a very small village in China.In those days,not many villagers could read.So my father opened a night school to teach them how to (39).As his daughter,I know what education (40) to the people,especially those without it.After generations of hard work,China has come a long way in education.I myself am a beneficiary(受益者) of that progress.(41) I would never become a professor of musical.I am following my fathers (42) by teaching at Chinas Conservatory of Music to help (43) Chinas success story.I want to thank DirectorGeneral Bokova and UNESCO for(44) me the Special Envoy(特使) for Women and Girls Education.I am truly honored to work with the UN and do something about Global Education.Education is about (45) and girls.It is important for girls to go to school(46) they will become their childrens first teacher someday.But women still (47) over half of the worlds poor in population and 60% of adults who cant read.Education is crucial(of extreme importance) in addressing such (48).In China,Spring Bud Education Program has helped over 3million girls go back to school.Many of them have (49) university education and they are doing well at work.Education is about equality.In poor countries and regions the number of school dropouts is(50).We call for more educational resources to these places.Education is about the young people.Young people are the(51).Education is important because it not only gives young people knowledge and skills but also helps them become responsible citizens.As the UNESCO special envoy and the mother myself,my (52) to education for all will never change.Many years ago my father made a small (53) in his village.Together we can make a big difference in the world.I was once asked about my Chinese dream.I said I hope all children especially girls can have (54) to good education.This is my Chinese dream.I believe one day Education First willno longer be a dream.It will be a reality (55) by every young woman on this planet.36.A.symbolizes B.memorizes C.represents D.marks37.A.controversial B.painful C.close D.distant38.A.grew up B.came up C.picked up D.turned up39.A.read B.write C.study D.speak40.A.shows B.means C.suggests D.owes41.A.Otherwise B.Nevertheless C.Moreover D.Likewise42.A.footsteps B.suggestions C.customs D.fashions43.A.continue B.start C.inspire D.achieve44.A.evaluating B.naming C.listing D.employing45.A.women B.boys C.citizens D.adults46.A.while B.when C.unless D.because47.A.make for B.take for C.account for D.sacrifice for48.A.drawbacks B.weaknesses C.inequalities D.emergencies49.A.finished B.withdrawn C.confirmed D.undertaken50.A.declining B.astonishing C.balancing D.rewarding51.A.core B.wealth C.future D.glory52.A.concentration mitment C.consistency D.conservation53.A.effect B.progress C.impact D.difference54.A.access B.way C.right D.privilege55.A.appreciated B.blessed C.enjoyed D.deserved五、阅读理解(共4小题;每小题4分,满分30分)请阅读下列短文,从短文后各题所给的A、B、C、D四个选项中,选出最佳选项.56.(4分)1.Ensure passport is valid.Passports are required for travel to the U.S.and must be valid for the entirety of the travelers stay.plete the application for a tourist visa,Form DS160.This is an online form available through the U.S.Department of State.3.Print the DS160confirmation page.After successfully completing the application,the applicant will receive a confirmation with a 10digit barcode.Take a printout of this page.This page is required to schedule a visa interview.4.Upload a digital photograph.The DS160application requires the applicant to upload a digital photograph that meets the following requirements:The digital photograph must be a squareMinimum dimensions must be 600pixels by 600pixelsMaximum dimensions must be 1200pixels by 1200pixelsImage must be in colorImage must be in the JPEG formatFile size of the image must be less than or equal to 240kilobytes5.Pay the application fee for the B2tourist visa.The fee can be paid electronically as a bank transfer or in cash at designated(指定的) bank branches.6.Make an appointment for the visa interview.After paying the application fee,the applicant will have to schedule two appointments as part of the tourist visa process:The first appointment is at the Offsite Facilitation Center (OFC) to provide biometrics information,which includes fingerprinting and photograph.The second appointment is with the consulate or embassy for a personal visa interview.plete the visa fingerprinting at an OFC.This appointment should be scheduled at least a day or two before the interview at the consulate.As part of this appointment,the applicants digital photograph and fingerprints will be taken.8.Attend the visa interview at the designated U.S.consulate or embassy on the day and time the appointment.The applicant brings the following to the visa interview:Passport (and old passports if any)Passportstyle photographThe DS160confirmation pageVisa application fee receiptsInterview appointment letterSupporting documents9.Receive a B2visa and travel to the U.S.If the interview goes well,the consular officer will approve the visa application and give the applicant a B2visa.56.The passage mainly focuses on.A.how to apply for a U.S.tourist visaB.strict process of passport application.C.making preparations for visa documentsD.the U.S.tourist advertisement of applying for visa.57.What are applicants required to do when applying for B2visa?plete the visa fingerprinting after the interview.B.Pay the application fee only through bank transfer electronically.C.Print out Form DS160.D.Attend a personal visa interview.58.(6分)First,I want to tell you how proud we are.Getting into Columbia is a real testament of what a great wellrounded student youare.Your academic,artistic,and social skills have truly blossomed(展现) in the last few years.You should be as proud of yourself as we are.College will be the most important years in your life.It is in college that you will truly discover what learning is about.You often question"what good is this course".I encourage you to be inquisitive,but I also want to tell you:"Education is what you have left after all that is taught is forgotten."What I mean by that is the material taught isnt as important as you gaining the ability to learn a new subject,and the ability to analyze a new problem.That is really what learning in college is about﹣this will be the period where you go from teachertaught to masterinspired,after which you must become selflearner.Do not fall into the trap of dogma(教条).There is no single simple answer to any question.Remember during your high school debate class,I always asked you to take on the side that you dont believe in?I did that for a reason﹣things rarely"black and white",and there are always many ways to look at a problem.You will become a better problem solver if you recognized that.This is called"critical thinking",and it is the most important thinking skill you need for your life.This also means you need to become tolerant and supportive of others.I will always remember when I went to my Ph.D.advisor and proposed a new thesis topic,he said"I dont agree with you,but Ill support you.""". Follow your passion in college.Take courses you think you will enjoy.Dont be trapped in what others think or say.Steve Jobs says when you are in college,your passion will create many dots,and later in your life you will connect them.Enjoy picking your dots,and be assured oneday you will find your calling,and connect a beautiful curve through the dots.Most importantly,make friends and be happy.College friends are often the best in life,because during college you are closer to them physically than to your family.Also,going through independence and adulthood is a natural bonding experience.Bonne chance,my angel and princess.May Columbia become the happiest four years in your life.58.What can be inferred from the passage?A.Its a parents letter intended for a college student.B.Parents are proud but worried about unpredictable future of children.C.Learning skills are the top priority in Columbia.D.Though uneducated,the writer offers practical college guidance.59.Which of the following is the most appropriate to fill in the blank at the end of the 3rd paragraph?A.So do take each subject seriously,and even if what you learn isnt critical for your life,the skills of learning will be something you cherish forever.B.After the years,I have learned this isnt just flexibility,but encouragement of critical thinking.C.When I faced the greatest challenge in my life,you gave me a big hug.D.Your Columbia degree will take you far even if you dont graduate with honors.60.By mentioning Steve Jobs,the author intends to tell us that.A.your dream of connecting dots to form a beautiful curve will be realized.B.following your own heart in college may guarantee opportunities of success.C.Steve Jobs is a typical example to illustrate that freedom and enjoyment count.D.Steve Jobs owes his success to his critical thinking.61.(8分)The newspaper must provide for the reader the facts,pure,unprejudiced,objectively selected facts.But in these days of complex news it must provide more; it must supply interpretation,the meaning of the facts.This is the most important assignment facing American journalists ﹣to make clear to the reader the problems of the day,to make international news understandable as community news,to recognize that there is no longer any such thing as"local"news,because any event in the international area has a local reaction in the financial market,political circles,in terms,indeed,of our very way of life.There is in journalism a widespread view that when you start an interpretation,you are entering dangerous waters,the rushing tides of opinion.This is nonsense.The opponents of interpretation insist that the writer and the editor shall limit himself to the"facts".This insistence raises two questions.What are the facts?And:Are the bare facts enough?As for the first question,consider how a so called"factual"story comes about.The reporter collects,say,fifty facts; out of these fifty,his space being necessarily restricted,he selects the ten which he considers most important.This is Judgment Number One.Then he or his editor decides which of these ten facts shall hold the lead of the piece.This is Judgment Number Two.Then the night editor determines whether the article shall be presented on page one,where it has a large influence,or on page twentyfour,where it has little.Judgment Number Three.Thus in the presentation of a socalled"factual"or"objective"story,at least three judgments are involved.And they are judgments not at all unlike those involved in interpretation,in which reporter and editor,calling upon their research resources,their general background,and their"news neutralism(中立)",arrive at a conclusion as to the significance of the news.The two areas of judgment,presentation of the news and its interpretation,are both objective rather than subjective processes﹣as objective,that is,as any human being can be.If an editor is determined to give a prejudiced view of the news,he can do it in other ways and more effectively than by interpretation.He can do it by the selection of those facts that support his particular viewpoint.Or he can do it by the place he gives a story﹣promoting it to page one or dragging it to page thirty.61.According to Paragraphs 12,which of the following statements is true?A.The most important task of reporters is to provide facts for the readers.B.If a reporter makes clear the facts he writes,he will get into trouble.C.In order to make current events clear to the readers,reporters and editors must select facts objectively.D.For reporters,interpretation of facts is no less important than presentation of the facts.62.Which of the following can best express the authors attitude toward objectiveness?A.He does not think there exists any objectiveness in news writing or reporting.B.To make clear the news is a way to be objective for the readers.C.Objectiveness is controlled by editors rather than writers.D.Properly choosing facts prepares a solid ground for objectiveness.63.Where a story is presented in a newspaper shows.A.the storys factual matterB.the editors prejudiceC.the reporters backgroundD.the storys impact on the readers64.The purpose of the last paragraph is to.A.show us the authors judgmentB.show us where to place a storyC.show us the authors viewpoint on objectivenessD.show us how to be neutral.65.(12分)After much thought,I came up with a brilliant plan.I worked out a way for Rich to meet my mother and win her over.In fact,I arranged it so my mother would want to cook a meal especially for him.Rich was not only not Chinese and he was a few years younger than I was.And unfortunately,he looked much younger with his curly red hair,smooth pale skin,and the splash of orange freckles(雀斑) across his nose.He was a bit on the short side,compactly built.In his dark business suits,he looked nice but easily forgettable,which was why I didnt notice him the first year we worked together at the firm.But my mother noticed everything."So what do you think of Rich?"I finally asked,holding my breath.She tossed the eggplant in the hot oil,angry hissing sound."So many spots on his face,"she said."They are freckles.Freckles are good luck."I said a bit too heatedly in trying to raise my voice above the noise of the kitchen."Oh?"She said innocently."Yes,the more spots the better."She considered this a moment and then smiled and spoke in Chinese:"When you were young,you got the chicken pox.So many spots,you had to stay home for ten days.So lucky,you thought."I couldnt save Rich in the kitchen.And I couldnt save him later at the dinner table.When I offered Rich a fork,he insisted on using the slippery ivory chopsticks.Halfway between his plate and his open mouth,a large chunk of redcooked eggplant fell on his brand new white shirt.And then he helped himself to big portions of the shrimp and snow peas,not realizing he should have taken only a polite spoonful.He declined the new greens,the tender and expensive leaves of bean plants.He thought he was being polite by refusing seconds, when he should have followed my fathers example, who made a big show of taking small portions of seconds, thirds and even fourths, always saying he couldnt resist another bite and then groaning he was so full he thought he would burst.But the worst was when Rich criticized my mothers cooking and he didnt even know what he had done.As is the Chinese cooks custom,my mother always made modest remarks about her own cooking.That night she chose to direct it toward her famous steamed pork and preserved vegetable dish,which she always served with special pride."Ai!This dish not salty enough,no flavor,"she complained,after tasting a small bite.This was our familys cue to eat more and proclaim it the best she had ever made.But before we could do so,Rich said,"You know,all it needsis a little soy sauce."And he proceeded to pour a riverful of the salty black stuff on the china plate,right before my mothers horrified eyes.And even though I was hoping throughout the dinner that my mother would somehow see Richs kindness,his sense of humor and boyish charm.I knew he had failed miserably in her eyes.Rich obviously had a different opinion on how the evening had gone.When we got home,I was still shuddering, remembering how Rich had firmly shaken both my parentshands with that same easy familiarity he used with nervous new clients."Linda,Tim,"he said,"well see you again."My parentsnames are Lindo and Tin Jong,and nobody except a few older family friends ever calls them by their first names."What did she say when you told her?"I knew he was referring to our getting married."I never had a chance,"I said,which was true.How could I have told my mother I was getting married,when at every possible moment we were alone,she seemed to remark on how pale and ill he looked.Rich was smiling."How long does it take to say,Mom,Dad,I am getting married?""You dont understand.You dont understand my mother."65.Which is NOT the reason why the author didnt tell her mother she was getting married?A.She didnt have a chance to tell her mother.B.Her mother disliked Richs freckled face.C.Mother was impressed by his boyish charm and humor.D.She was shocked by Richs violation of cultural taboo.66.Which of the following is NOT closely related to cultural differences in the story?A."Ai!This dish not salty enough,no flavor,"she complained,after tasting a small bite.B.Rich obviously had a different opinion on how the evening had goneC..Halfway between his plate and his open mouth,a large chunk of redcooked eggplant fell on his brand new white shirt.D."Linda,Tim",Rich said,"well see you again."67.What does the underlined part in the story really mean?A.Father made a big show of his preference for the dish by helping himself to the dishes more times,which Rich didnt follow.B.Rich behaved politely by not following Father who kept having more servings of greens.C.Father had a good appetite for more portions of greens while Rich had good table manners of having one serving.D.Rich didnt appear polite because he didnt follow Father,who madea big show of his great appetite by eating more until he couldnt eat.68.What does the underlined word"shuddering"most probably mean?A.hesitatingB.regrettingC.shakingD.reflecting69.What can be the best title of the story?A.Rich Met My MotherB.East VS WestC.Chinese Family GatheringD.Of Table Manners70.The author wrote this story in a/an tone.A.poeticB.humorousC.pessimisticD.objective.六、任务型阅读(共1小题;每小题10分,满分10分)请阅读下面短文,并根据所读内容在*后表格中的空格里填入一个最恰当的单词.注意:每个空格只填一个单词.71.(10分)Your life is composed of all the little things we experience every day,and knowing how to find joy in some of those little things is one of the easiest ways to let happiness slowly fill your cup.In order for that to happen,you need to do two very simple things:put yourself in such situations that you can experience happiness there,and then find a way to savour the experience and let it sink into you.To put yourself in the position of experiencing happiness every day,Lahna Catalino,Ph.D.,at the University of California,San Francisco,recommends an approach called"prioritizing positivity"﹣organizing your daytoday life on purpose so that it contains situations which naturally give rise to positive emotions.It involves both carving out time in your daily routine to do things that you really love and heavily weighing the positive emotional consequences of major life decisions,like taking a new job,and you will regularly find yourself.Then how can we find a way to savour the happy experience and let it sink into you?Here is what psychologist Rick Hanson,the author of Buddhas Brain explains.Let a good fact become a good experience.Often we go through life and some good thing happens﹣a little thing,like we checked off an item on our To Do list,we survived another day at work,the flowers are blooming,and so forth.Hey,this is an opportunity to feel good.Dont leave money lying on the table:Recognize that this is an opportunity to let yourself truly feel good.Really enjoy this positive experience.Practice what any school teacher knows:If you want to help people learn something,make it as intense as possible﹣in this case,as felt in the body as possible﹣for as long as possible.When sinking into this experience,sense your intention that this experience is sinking into you.Sometimes people do this through visualization,like by sensing a golden light coming into themselves or a soothing balm inside themselves.You might imagine a jewel going into the treasure chest in your heart﹣or just know that this experience is sinking into you,becoming a resource you can take with you no matter where you go.It might seem a little cliche(陈词滥调) to say"stop and smell the roses,"but its moments like those that can be stored in your happiness bank and withdrawn later.Living a happy life can be as simple as accepting the happiness thats already around you.If you want more,its ok to go out and achieve it,but dont forget where happiness really comes from.七、书面表达(满分25分)请阅读下面短文,并按照要求用英语写一篇150字左右的*.81.(25分)The panda is the most widely recognized symbol among foreigners to represent Chinese culture,followed by green tea andyin/yang,according to a survey conducted by the Beijing Institute of Culture Innovation and Communication.Researchers selected 18symbols of Chinese culture,including Confucius(孔子),Beijing opera and Kung Fu."It is interesting to find that foreigners have a very different understanding of Chinese culture from us,"said Yu Dan,a professor of Chinese culture at Beijing Normal University.The survey collected 2,407questionnaires from the United States,United Kingdom,France,Australia,Japan and South Korea.Respondents were asked to rate their understanding of Chinese culture on a fivepoint scale from excellent to poor.The results were indicated in the following chart:Understanding of Chinese culture用约30个单词写出上文和图表的概要;2.用约120个单词发表你的观点,内容包括:(1)你认为最能代表中国文化的是什么?请说明理由;(2)我们应该如何更好地推广中国文化?(至少两点)【写作要求】(1)须表明个人观点,同时提供理由或论据.(2)阐述观点或提供论据时,不得直接引用原文中的句子;。
高三冲刺押题卷高三冲刺是学生备战高考的关键时期,为了帮助学生更好地备考,老师往往会出一些押题卷作为参考。
押题卷是基于以往高考试题的命题规律和考点分布,对可能出现在本年度高考中的题目进行预测。
下面是一份高三冲刺押题卷的相关参考内容。
一、选择题选择题是高考中常见的题型,重点考查学生对知识点的理解和应用能力。
下面是一些可能出现的选择题题目及解析:1. 高三化学选择题试题:电路中含有两个电池和两个灯泡,其中一个电池和一个灯泡组成一对,另一个电池和灯泡组成一对。
如果两对灯泡亮度相同,以下哪种情况是可能的?A. 两电池电动势相同,两灯泡都是低效的B. 两电池电动势不同,两灯泡都是高效的C. 两电池电动势相同,一个灯泡高效,一个灯泡低效D. 两电池电动势不同,一个灯泡高效,一个灯泡低效解析:根据电路的基本原理,如果两对灯泡亮度相同,那么两对电池的电动势之比应该等于两对灯泡的功率之比。
所以选项C是可能的情况。
2. 高三数学选择题试题:已知函数f(x)=sin(bx),其中b>0且b≠1。
下列说法中正确的是:A. 若f(pi/10)=f(π/6),则b=3/2B. 若f(-2)=-f(3π/4),则b=2/3C. 若f(aπ/4)=-√2/2,则b=π/4aD. 若f(π/4)=-5/7,则b=7/20解析:利用函数的性质,可以通过给定的函数值推导出b的取值。
经过计算和推导,可以得出选项C是正确的。
二、解答题解答题是高考中需要学生自行思考和分析的题型,要求学生能够灵活运用知识点进行推导和解决问题。
下面是一些可能出现的解答题题目及参考答案:1. 高三语文解答题试题:请结合材料简要分析高校招生的特点,并对目前高中生选择高校专业时存在的问题进行述评。
参考答案:高校招生的特点有多样化和竞争性。
多样化表现在招生计划的多样性,不仅有普通类录取批次,还有自主招生、艺术类、体育类等特殊批次。
竞争性主要表现在高校录取分数线的高、竞争激烈。
华中师范大学第一附中2025届高考冲刺押题(最后一卷)数学试卷注意事项1.考试结束后,请将本试卷和答题卡一并交回.2.答题前,请务必将自己的姓名、准考证号用0.5毫米黑色墨水的签字笔填写在试卷及答题卡的规定位置. 3.请认真核对监考员在答题卡上所粘贴的条形码上的姓名、准考证号与本人是否相符.4.作答选择题,必须用2B 铅笔将答题卡上对应选项的方框涂满、涂黑;如需改动,请用橡皮擦干净后,再选涂其他答案.作答非选择题,必须用05毫米黑色墨水的签字笔在答题卡上的指定位置作答,在其他位置作答一律无效. 5.如需作图,须用2B 铅笔绘、写清楚,线条、符号等须加黑、加粗.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.若将函数()2sin 16f x x π⎛⎫=+- ⎪⎝⎭的图象上各点横坐标缩短到原来的12(纵坐标不变)得到函数()g x 的图象,则下列说法正确的是( )A .函数()g x 在0 6π⎛⎫⎪⎝⎭,上单调递增 B .函数()g x 的周期是2π C .函数()g x 的图象关于点 012π⎛⎫- ⎪⎝⎭,对称 D .函数()g x 在0 6π⎛⎫⎪⎝⎭,上最大值是1 2.在311(21)x x ⎛⎫++ ⎪⎝⎭展开式中的常数项为( ) A .1B .2C .3D .73.如图,在ABC 中,,(,),2AD AB BD xAB yAC x y R AD ⊥=+∈=,且12AC AD ⋅=,则2x y +=( )A .1B .23-C .13-D .34-4.直线经过椭圆的左焦点,交椭圆于两点,交轴于点,若,则该椭圆的离心率是() A .B .C .D .5.已知正方体1111ABCD A B C D -的棱长为2,点M 为棱1DD 的中点,则平面ACM 截该正方体的内切球所得截面面积为( ) A .3π B .23π C .πD .43π 6.已知(2sin,cos),(3cos,2cos)2222xxxxa b ωωωω==,函数()f x a b =·在区间4[0,]3π上恰有3个极值点,则正实数ω的取值范围为( ) A .85[,)52B .75[,)42C .57[,)34D .7(,2]47.已知正四面体的内切球体积为v ,外接球的体积为V ,则Vv=( ) A .4B .8C .9D .278.O 是平面上的一定点,,,A B C 是平面上不共线的三点,动点P 满足+OP OA λ= ()·cos ?cos AB AC AB BAC C+,(0,)λ∈∞,则动点P 的轨迹一定经过ABC ∆的( )A .重心B.垂心C .外心D .内心9.已知集合{|A x y ==,2{|}10B x x x =-+≤,则A B =( ) A.[12]-, B.[-C.(-D .⎡⎣10.已知平面向量,a b ,满足1,13a b ==,且2a b a b +=+,则a 与b 的夹角为( ) A .6π B .3π C .23π D .56π 11.设复数z 满足(1)21z i i ⋅+=+(i 为虚数单位),则复数z 的共轭复数在复平面内对应的点位于( ) A .第一象限 B .第二象限C .第三象限D .第四象限12.i 是虚数单位,若17(,)2ia bi ab R i+=+∈-,则乘积ab 的值是( ) A .-15B .-3C .3D .15二、填空题:本题共4小题,每小题5分,共20分。
押题一参考答案
姓名 得分
1.已知集合31{|}M x x =-<<,32}1,0,1{N -=,-,-,则M N = ( ). A .21,1{}0,-,- B .32}1,0{-,-,- C .}2,0{1-,- D .32{1}-,-,-
2.复数3+2i 2-3i 的共轭复数是( )
A .1
B .-1
C .i
D .-i 3.如果执行右面的程序框图,输入6,4n m ==,那么输出的p 等于( )
A .720
B .360
C .240
D .120 4.设{}n a 是公差不为0的等差数列,12a =且
136,,a a a 成等比数列,则{}n a 的前n 项和n S = ( A .2744
n n + B .2533n n + C .2324n n
+ D .2n n + 5.某企业有职工150人,现抽取10人进行系统抽样,编号从第1到第150号,则前三个编号可能为( )
A .8,18,28
B .20,35,50
C .3,18,33
D .5,15,25
6.若变量,x y 满足约束条件1020
y x y x y ì£ïï
+?íï--?ïî,则2z x y =-的最大值为( )
A .4
B .3
C .2
D .1
7.如图,网格纸上正方形小格的边长为1(表示1cm ),图中粗线画出的是某零件的三视图,该零件由一个底面半径为3cm ,高为6cm 的圆柱体毛坯切削得到,则切削掉部分的体积与原来毛坯体积的比 )
A .1727
B .59
C .1027
D .13
8.已知向量()()()3,1,1,3,,7a b c k ===r r r ,若()
a c -r r ∥
b r
,则k = 5 .
9.已知{}n a 是等差数列,124a a +=,7828a a +=,则该数列前10项和10S 等于 100 .
10.解:(1)设公差为d ,则315
13305105S a d S a d =+=⎧⎨=+=-⎩,,
解得111a d =⎧⎨
=-⎩,
,
2.n a n ∴=-
(2)由(1)可得,
212111111
=((21)(23)22321
n n a a n n n n -+=-----,
所以数列2121
1
{
}n n a a -+的前n 项和为:
111111(11)(1(()2335232111(1).22121
n n n n n ⎡⎤
--+-+---⎢⎥--⎣⎦-=--=--
11. 解:66
404,2026060
⨯
=⨯=, 所以抽取的6台设备中,新、旧设备分别为2,4台,
将这6台设备分别编号为121234,,,,,A A B B B B ,其中i A 为新设备,i B 为旧设备, 则从中抽取2台设备的所有可能情况为:
121112131421222324121314232434
,,,,,
,,,,,,,,,A A A B A B A B A B A B A B A B A B B B B B B B B B B B B B 共15种情况,其中恰好一新一旧的有8种, 所以抽到2台设备恰好是一新一旧的概率为8
15
.
(2)2
2
380(420020120)=
17.63316022060320
χ⨯⨯-⨯≈⨯⨯⨯,2 6.635χ> , 所以有99%的把握认为含杂质的高低与设备改造有关系. 12.(1)因为四边形ABCD 为菱形,所以AC BD ⊥,
因为BE ⊥平面ABCD ,所以AC BE ⊥,故AC ⊥平面BED , 又AC ⊂平面AEC ,所以平面AEC ⊥平面BED .
(2)设AB x =,在菱形ABCD 中,由120ABC ∠=
,可得
,22
x AG GC x GB GD ==
==, 因为AE EC ⊥,所以在Rt AEC
中,可得2
EG x =
, 由BE ⊥平面ABCD ,知EBG
为直角三角形,可得2
BE x =
, 由已知得,三棱锥E ACD -
的体积31132243
E ACD V AC GD BE x -=
⨯==
故2x =
,从而可得AE EC ED ===
所以EAC 的面积为3,EAD 的面积与ECD
故三棱锥E ACD -
的侧面积为3+.
13. 解:(1)当1a =时,()1f x >化为|1|2|1|10x x +--->
①当1x ≤-时,不等式化为40x ->,无解; ②当11x -<<时,不等式化为320x ->,解得
2
13
x <<; ③当1x ≥时,不等式化为20x -+>,解得12x ≤<, 所以()1f x >的解集为2
{|
2}3
x x << . (2)由题设可得,12,1,()312,1,12,.x a x f x x a x a x a x a --<-⎧⎪
=+--≤≤⎨⎪-++>⎩
所以函数()f x 的图像与x 轴围成的三角形的三个顶点分别为21
(
,0)3
a A -,(21,0)B a +,(,1)C a a +,ABC 的面积为22
(1)3
a +
由题设得2
2(1)63
a +>,故2a >
所以a 的取值范围为(2,)+∞ .。