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2016-2017学年高二上学期期中考试数学试题 Word版含答案

2016-2017学年高二上学期期中考试数学试题 Word版含答案

2016-2017学年高二上学期期中考试数学试题一、选择题(本大题共8小题,每小题5分,共40分)1.某产品共有三个等级,分别为一等品、二等品和不合格品.从一箱产品中随机抽取1件进行检测,设“抽到一等品”的概率为0.65,“抽到二等品”的概率为0.3,则“抽到不合格品”的概率为( )A .0.05B .0.35C .0.7D .0.95 2.全称命题“2,54x R x x ∀∈+=”的否定是( )A .2000,54x R x x ∃∈+=B .2,54x R x x ∀∈+≠C .2000,54x R x x ∃∈+≠D .以上都不正确3.在如图所示的茎叶图中,若甲组数据的众数为14,则乙组数据的中位数为( )A .6B .8C .10D .144.某程序框图如图所示,若输出的结果是62,则判断框中可以是( ) A .7?i ≥ B .6?i ≥ C .5?i ≥ D .4?i ≥5.对于实数,,a b c ,“a b >”是“22ac bc >”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.已知椭圆22221(0)x y a b a b+=>>的一个焦点是圆22680x y x +-+=的圆心,且短轴长为8,则椭圆的左顶点为( )A .(2,0)-B .(3,0)-C .(4,0)-D .(5,0)- 7.点P 在边长为1的正方形ABCD 内运动,则动点P 到 定点A 的距离|PA |1<|的概率为( )A.πB.2π C.4π D .6π8.若点O 和点F 分别为椭圆22143x y +=的中心和左焦点,点P 为椭圆上的任意一点,则OP FP ⋅ 的最大值为( ) A .2 B .3 C .6 D .8二、填空题(每题5分,共6个小题,满分30分) 9.某课题组进行城市空气质量调查,按地域把24个城市分 成甲、乙、丙三组,对应城市数分别为 4、12、8.若用分层 抽样方法抽取6个 城市,则甲组中应抽取的城市数为________.10.执行如图所示的程序框图,若输入的x 的值为1, 则输出的n 的值为________.11.有一个容量为200的样本,其频率分布直方图如图所示, 据图知,样本数据在[8,10)内的频数为 12.已知点M 是圆224x y +=上任意一点,过点M 向x 轴作垂线,垂足为N ,则线段MN (包括MN 重合) 的中点的轨迹方程为13.在平面直角坐标系xoy 中,椭圆C 的中心为原点,焦点12,F F 在x轴上,离心率为2.过点1F 的直线L 交C 于,A B 两点,且2ABF ∆的周长为16,那么C 的方程为 . 14.有下列命题:①“若0x y +>,则00x y >>且”的否命题; ②“矩形的对角线相等”的否命题;③“若1m ≥,则22(m 1)x m 30mx -+++>的解集是R ”的逆命题; ④“若7a +是无理数,则a 是无理数”的逆否命题. 其中正确命题的序号是三、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)15.(满分13分)设命题p :x y c =为R 上的减函数,命题q :函数2(x)234f x x c =-+>在1,22x ⎡⎤∈⎢⎥⎣⎦上恒成立.若p q ∨为真命题,p q ∧为假命题,求c 的取值范围.第18题图16.(满分13分)某出租车公司为了解本公司出租车司机对新法规的知晓情况,随机对100名出租车司机进行调查,调查问卷共10道题,答题情况如下表所示.(1)如果出租车司机答对题目数大于等于9,就认为该司机对新法规的知晓情况比较好,试估计该公司的出租车司机对新法规知晓情况比较好的概率率;(2)从答对题目数小于8的出租车司机中任选出2人做进一步的调查,求选出的2人中至少有一名女出租车司机的概率.17.(满分13分)在如图所示的几何体中,面CDEF 为正方形,面ABCD 为等腰梯形,AB //CD,AC ,22AB BC ==,AC FB ⊥.(1)求证:⊥AC 平面FBC ;(II )线段AC 的中点为M ,求证EA //平面FDM18(满分14分).随机抽取某中学甲乙两班各10名同学,测量他们的身高(单位:cm),获得身高数据的茎叶图如图.(Ⅰ)根据茎叶图判断哪个班的平均身高较高; (Ⅱ)计算甲班的样本方差;(Ⅲ)现从乙班这10名同学中随机抽取两名身高不低于173cm 的同学,求身高为176cm 的同学被抽中的概率.19.(满分14分)某同学利用国庆节期间进行社会实践活动,在[25,55]岁的人群中随机抽取n 人进行了一次生活习惯是否符合低碳生活的调查,若生活习惯符合低碳生活的称为“低碳族”,否则称为“非低碳族”,得到如下统计表和各年龄段人数的频率分布直方图:(1)补全频率分布直方图,并求,,n a p 的值;(2)从年龄在[40,50)岁的“低碳族”中采用分层抽样的方法抽取6人参加户外低碳体验活动,其中选取2人作为领队,求选取的2名领队中恰有1人年龄在[40,45)岁的概率.20.(满分14分)已知椭圆的标准方程为:22221(0)43x y a a a+=>(1)当1a =时,求椭圆的焦点坐标及椭圆的离心率; (2)过椭圆的右焦点2F 的直线与圆222:4(0)C x y a a +=>常数交于,A B 两点,求22|F ||F |A B ⋅的值.2016-2017学年高二上学期期中考试数学试题答案一、选择题(本大题共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的)1.某产品共有三个等级,分别为一等品、二等品和不合格品.从一箱产品中随机抽取1件进行检测,设“抽到一等品”的概率为0.65,“抽到二等品”的概率为0.3,则“抽到不合格品”的概率为( )A .0.95B .0.7C .0.35D .0.05解析:“抽到一等品”与“抽到二等品”是互斥事件,所以“抽到一等品或二等品”的概率为0.65+0.3=0.95,“抽到不合格品”与“抽到一等品或二等品”是对立事件,故其概率为1-0.95=0.05.答案:D2.全称命题“∀x ∈R ,x 2+5x =4”的否定是( )A .∃x 0∈R ,x 20+5x 0=4 B .∀x ∈R ,x 2+5x ≠4 C .∃x 0∈R ,x 20+5x 0≠4 D .以上都不正确解析:选C 全称命题的否定为特称命题.3.在如图所示的茎叶图中,若甲组数据的众数为14,则乙组数据的中位数为( )A .6B .8C .10D .14解析:由甲组数据的众数为14得x =y =4,乙组数据中间两个数分别为6和14,所以中位数是6+142=10.答案:C4.某程序框图如图所示,若输出的结果是126,则判断框中可以是( )A .i >6?B .i >7?C .i ≥6?D .i ≥5?解析:根据题意可知该程序运行情况如下: 第1次:S =0+21=2,i =1+1=2; 第2次:S =2+22=6,i =3; 第3次:S =6+23=14,i =4; 第4次:S =14+24=30,i =5; 第5次:S =30+25=62,i =6; 第6次:S =62+26=126,i =7;此时S =126,结束循环,因此判断框应该是“i >6?”.答案:A5.“a <0”是“方程ax 2+1=0至少有一个负根”的( )A .必要不充分条件B .充分不必要条件C .充要条件D .既不充分也不必要条件解析:选C 方程ax 2+1=0至少有一个负根等价于x 2=-1a,故a <0,故选C.6.已知椭圆22221(0)x y a b a b+=>>的一个焦点是圆22680x y x +-+=的圆心,且短轴长为8,则椭圆的左顶点为( )A .(2,0)-B .(3,0)-C .(4,0)-D .(5,0)-【解析】圆心坐标为(3,0),∴c =3,又b =4,∴5a =. ∵椭圆的焦点在x 轴上,∴椭圆的左顶点为(-5,0). 【答案】 D7.点P 在边长为1的正方形ABCD 内运动,则动点P 到定点A 的距离|PA |<1的概率为( )A.14B.12C.π4D .π 解析:如图所示,动点P 在阴影部分满足|PA |<1,该阴影是半径为1,圆心角为直角的扇形,其面积为S ′=π4,又正方形的面积是S =1,则动点P到定点A 的距离|PA |<1的概率为S ′S =π4. 答案:C 8.直线l 经过椭圆的一个短轴顶点顶点和一个焦点,若椭圆中心到l 的距离为其短轴长的14,则该椭圆的离心率为( )A .13B .12C .23D .34解析:选B 不妨设直线l 经过椭圆的一个顶点B (0,b )和一个焦点F (c,0),则直线l 的方程为x c +yb=1,即bx +cy -bc =0.由题意知|-bc |b 2+c 2=14×2b ,解得c a =12,即e =12.故选B .二、填空题(每题5分,共6个小题,满分30分)9.某课题组进行城市空气质量调查,按地域把24个城市分成甲、乙、丙三组,对应城市数分别为4、12、8.若用分层抽样方法抽取6个城市,则甲组中应抽取的城市数为________.答案:110.执行如图所示的程序框图,若输入的x 的值为1, 则输出的n 的值为________.答案:311.有一个容量为200的样本,其频率分布直方图如图所示,据图知,样本数据在[8,10)内的频数为( )A .38B .57C .76D .95 答案:C12.已知点M 是圆224x y +=上任意一点,过点M 向x 轴作垂线,垂足为N ,则线段MN (包括MN 重合)的中点的轨迹方程为2214x y += 13.在平面直角坐标系xoy 中,椭圆C 的中心为原点,焦点12,F F 在x 轴上,离心率为2.过点1F 的直线L 交C 于,A B 两点,且2ABF ∆的周长为16,那么C 的方程为_________.【答案】221168x y +=14.有下列命题:①“若x +y >0,则x >0且y >0”的否命题; ②“矩形的对角线相等”的否命题;③“若m ≥1,则mx 2-2(m +1)x +m +3>0的解集是R ”的逆命题; ④“若a +7是无理数,则a 是无理数”的逆否命题. 其中正确的是 ①③④三、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)15.(满分13分)设命题p :x y c =为R 上的减函数,命题q :函数2(x)234f x x c =-+>在1,22x ⎡⎤∈⎢⎥⎣⎦上恒成立.若p q ∨为真命题,p q ∧为假命题,求c 的取值范围.解:由p ∨q 真,p ∧q 假,知p 与q 为一真一假,对p ,q 进行分类讨论即可. 若p 真,由y =c x为减函数,得0<c <1. .....................3分 当1,22x ⎡⎤∈⎢⎥⎣⎦时,由不等式2(x 1)22-+≥(x =1时取等号)知(x)f 在1,22⎡⎤⎢⎥⎣⎦上的最小值为2 ......................6分若q 真,则42c <,即12c < .......................8分 若p 真q 假,则112c ≤<; .......................10分 若p 假q 真,则0c ≤. ......................12分 综上可得,(]1,0,12c ⎡⎫∈-∞⎪⎢⎣⎭......................13分16.(满分13分)某出租车公司为了解本公司出租车司机对新法规的知晓情况,随机对100名出租车司机进行调查,调查问卷共10道题,答题情况如下表所示.(1)如果出租车司机答对题目数大于等于9,就认为该司机对新法规的知晓情况比较好,计算被调查的出租车司机对新法规知晓情况比较好的频率;(2)从答对题目数小于8的出租车司机中任选出2人做进一步的调查,求选出的2人中至少有一名女出租车司机的概率.解:(1)答对题目数小于9的人数为55,记“答对题目数大于等于9”为事件A ,P (A )=1-55100=0.45. .......................6分 (2)记“选出的2人中至少有一名女出租车司机”为事件M ,设答对题目数小于8的司机为A ,B ,C ,D ,E ,其中A ,B 为女司机,任选出2人包含AB ,AC ,AD ,AE ,BC ,BD ,BE ,CD ,CE ,DE ,共10种情况,.......................9分(3)至少有一名女出租车司机的事件为AB ,AC ,AD ,AE ,BC ,BD ,BE ,共7种 ..12分则P (M )=710=0.7. ......13分16.(满分14分)在如图所示的几何体中,面CDEF 为正方形,面ABCD 为等腰梯形,AB //CD,AC ,22AB BC ==,AC FB ⊥.(1)求证:⊥AC 平面FBC ;(II )线段AC 的中点为M ,求证EA //平面FDM第3题图17.(本小题满分14分) (Ⅰ)证明:在△ABC 中,因为AC =,2AB =,1BC =,所以 BC AC ⊥. ………………3分 又因为 AC FB ⊥, 因为BC FB B =所以 ⊥AC 平面FBC . ………………6分 (Ⅱ)M 为AC 中点时,连结CE ,与DF 交于点N ,连结MN .因为 CDEF 为正方形,所以N 为CE 中点. ……………8分 所以 EA //MN . ……………10分 因为 ⊂MN 平面FDM ,⊄EA 平面FDM , ………12分 所以 EA //平面FDM . …………13分18(满分14分).随机抽取某中学甲乙两班各10名同学,测量他们的身高(单位:cm),获得身高数据的茎叶图如图.(Ⅰ)根据茎叶图判断哪个班的平均身高较高; (Ⅱ)计算甲班的样本方差;(Ⅲ)现从乙班这10名同学中随机抽取两名身高不低于173cm 的同学,求身高为176cm 的同学被抽中的概率. 规范解答不失分 (Ⅰ)由茎叶图可知:甲班身高集中于160179:之间, 而乙班身高集中于170180: 之间.因此乙班平均身高高于甲班 ...............4分 (Ⅱ)158162163168168170171179182170.10x ++++++++==...............6分 甲班的样本方差为:222222222221(158170)(162170)(163170)(168170)10(168170)(170170)(171170)(179170)(179170)(182170)57.2.s ⎡=-+-+-+-⎣+-+-+-+-+-+-=...............8分(Ⅲ)设身高为176cm的同学被抽中的事件为A;从乙班10名同学中抽中两名身高不低于173cm的同学有:(181,173)(181,176)(181,178)(181,179)(179,173)(179,176)(179,178)(178,173)(178, 176) (176,173)共10个基本事件,...............10分而事件A含有4个基本事件;...............12分所以42().105P A ...............14分19.(满分14分)某同学利用国庆节期间进行社会实践活动,在[25,55]岁的人群中随机抽取n人进行了一次生活习惯是否符合低碳生活的调查,若生活习惯符合低碳生活的称为“低碳族”,否则称为“非低碳族”,得到如下统计表和各年龄段人数的频率分布直方图:(1)补全频率分布直方图,并求n,a,p的值;(2)从年龄在[40,50)岁的“低碳族”中采用分层抽样的方法抽取6人参加户外低碳体验活动,其中选取2人作为领队,求选取的2名领队中恰有1人年龄在[40,45)岁的概率.解:(1)第二组的概率为1-(0.04+0.04+0.03+0.02+0.01)×5=0.3,所以频率组距=0.35=0.06.............2分 频率分布直方图如下:............4分第一组的人数为1200.6=200,频率为0.04×5=0.2, 所以n =2000.2=1 000 .............6分 因为第二组的频率为0.3,所以第二组的人数为1 000×0.3=300,所以p =195300=0.65. 第四组的频率为0.03×5=0.15,所以第四组的人数为1 000×0.15=150.所以a =150×0.4=60 .............8分(2)因为年龄在[40,45)岁的“低碳族”与[45,50)岁的“低碳族”的人数的比为60∶30=2∶1,所以采用分层抽样法抽取6人,[40,45)中有4人,[45,50)中有2人.设[40,45)中的4人为a ,b ,c ,d ,[45,50)中的2人为m ,n ,则选取2人作为领队的情况有(a ,b ),(a ,c ),(a ,d ),(a ,m ),(a ,n ),(b ,c ),(b ,d ),(b ,m ),(b ,n ),(c ,d ),(c ,m ),(c ,n ),(d ,m ),(d ,n ),(m ,n ),共15种, ............10分(3)其中恰有1人年龄在[40,45)岁的情况有(a ,m ),(a ,n ),(b ,m ),(b ,n ),(c ,m ),(c ,n ),(d ,m ),(d ,n ),共8种, ............12分(4)所以选取的2名领队中恰有1人年龄在[40,45)岁的概率P =815.............14分 20.(满分14分)已知椭圆的标准方程为:22221(0)43x y a a a+=> (1)当1a =时,求椭圆的焦点坐标及离心率;(2)过椭圆的右焦点2F 的直线与圆222:4(0)C x y a a +=>常数交于,A B 两点,证明22|F ||F |A B ⋅为定值. 解:(1)焦点坐标12(1,0),F (1,0)F - ..........2分离心率12e = ..........3分(2)当斜率不存在时11|||F B |F A ===此时212|FA ||F B|3a ⋅= 5分当斜率不存在=时,设1122(x ,y ),B(x ,y )A:()AB y k x a =-由222(x a)x 4y k y a =-⎧⎨+=⎩ 得222222(1k )x 240ak x k a a +-+-= 7分 222212122224,11ak k a a x x x x k k -+==++ 9分11|FA |x a |==-22|F A |x a |==-所以22111212|FA||FB|(1)|x x a(x )a |k x ⋅=+-++ 12分 22222222242(1k )|a |11k a a a k k k -=+-+++23a = 13分 所以 22|F ||F |A B ⋅为定值23a .。

2016—2017学年度高二上学期英语期中考试历年真题(精编)

2016—2017学年度高二上学期英语期中考试历年真题(精编)

2016—2017学年度高二上学期英语期中考
试历年真题(精编)
2016-2017学年度高二上学期英语期中考试历年真题(精编)
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2016-2017学年上学期高二期中试卷

2016-2017学年上学期高二期中试卷

2016-2017学年度第一学期八县(市)一中期中联考高中二年英语科试卷第I卷(共90分)第一部分:听力(共两节,满分30分)第一节(共5小题;每小题1.5分,满分7.5分)听下面5段对话。

每段对话后有一个小题,从题中所给的A、B、C三个选项中选出最佳选项,并标在试卷的相应位置。

听完每段对话后,你都有10秒钟的时间来回答有关小题和阅读下一小题。

每段对话仅读一遍。

1. How does the woman want her coffee?A. Without milk.B. Without sugar.C. With less sugar.2. What will the man do next?A. Walk his dog.B. Work on his project.C. See his friend.3. What time is it now?A. 5:00.B. 5:10.C. 5:15.4. What does the woman mean?A. She will read her notes.B. She takes notes very carefully.C. She can’t read her own writing.5. Who are the speakers mainly talking about?A. Their kids.B. Their parents.C. Their neighbors.第二节(共15小题;每小题1.5分,满分22.5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。

听第6段材料,回答第6、7题。

6. Where does the conversation take place?A. In a café.B. On a city street.C. At home.7. Why is the woman wearing sunglasses?A. She feels tired.B. She thinks it’s fashionable.C. She wants protection from the sun.听第7段材料,回答第8、9题。

2016-2017学年高二上学期期中考试语文试题

2016-2017学年高二上学期期中考试语文试题

2016年高二上语文期中试卷班级姓名座号一、阅读下面的文字,完成1—3 题。

端午已过.但粽子包装过度的现象仍可一说。

这很容易让人从中看见月饼包装的影子,其原因自然是利益驱使。

首先,这是粽子所扮演角色发生变化后的结果。

近年来,棕子渐成了一种馈赠亲朋好-3- 友的礼品.既然是礼品,就得讲究包装,你总不能把粽子放进塑料袋,然后提着走亲访友吧? 其次,至少到目前为止,端午节只有粽子这一种时令食品。

而且年复一年,在形式上、口味上并无多大变化.商家们也只能在包装上下功夫了。

当然,不管端午节粽子走什么路线,最重要的还是质量要过关。

面对让人眼花的“贵族粽子”,很多市民并不领情.绝大部分人还是钟情于“平民粽子”,认为粽子吃的是口味,包装是次要的,千万不要走月饼的老路。

青岛香港中路一超市的销售人员说.买高档粽子的顾客大部分是送人的。

传统节日市场消费的主角还是平民百姓,一厢情愿的奢华与市场越来越远,这粽子的“味道”能好吗? 国家三令五申限制过度包装.今天出现了“贵族粽子”,明天又会冒出个“贵族××” 来掏消费者的腰包,成为新的“包装污染”源。

过度包装几时休? 青岛市工商局有关人士则介绍说,国家工商总局日前发出通知.要求在深入开展食品安全专项整治行动中严厉查处在月饼、粽子、酒、保健品和营养品等商品中存在的过度包装、价格不符和搭售其他商品等不正当竞争行为。

业内专家认为:无论从保护消费者权益的角度,还是从提倡可持续发展的角度,有关部门已经注意到包括月饼在内的商品过度包装现象,并作出了强制性规定。

再加上人们环保意识的增强,市场上花架子式的包装将会逐渐减少。

与此同时,卫生安全、方便实用的简单包装更受人欢迎。

今年5月22 日,中国商业联合会出台了国家粽子行业标准,该标准对粽子的产品分类、卫生指标、标签包装以及运输、储存和销售都作出了明确具体的规定。

据了解,“标准粽子”除了对外包装需有标“SB/T10377”标签外,还对粽子的含义作了明确界定,规定水、糯米等17类粽子的原辅材料必须符合国家标准。

高中英语真题:2016-2017学年度第一学期期中考试高二年级

高中英语真题:2016-2017学年度第一学期期中考试高二年级

2016-2017学年度第一学期期中考试高二年级考试时间:120分钟分值:150分第I卷第一部分听力(共两节,满分30分)第一节(共5小题;每小题1.5分,满分7.5分)听下面5段对话,每段对话后有一个小题,从题中所给的A、B、C三个选项中选出最佳选项,并标在试卷的相应位置。

听完每段对话后,你都有10秒钟的时间来回答有关小题和阅读下一小题。

每段对话仅读一遍。

1.What does the man want to do?A. Buy some booksB. Return some booksC. Exchange some books2. Where does the woman prefer going?A. The mountainsB. The forestC. The beach3. What are the speakers mainly talking about?A. Their weekend plansB. Their favorite moviesC. Their friends4. How long has the woman been in the UK?A. One yearB. Two yearsC. Three years.5. What will the man do on Friday night?A. Help his friendB. Go to a concertC. Study for a test第二节(共15小题;每题1.5分,满分22.5分)听下面5段对话对话或独白。

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。

听第6段材料,回答第6、7题。

6. How does the woman feel about working in company?A. BusyB. TiredC. Nervous7. What does the woman think is the most important as an em ployee?A. Working hardB. Making detailed plansC. Writing down goals.听第7段材料,回答第8、9题。

2016-2017学年第一学高二理科期中考试试卷

2016-2017学年第一学高二理科期中考试试卷

2016-2017学年第一学期期中试高二数学(理科)试题本试卷题目共4页,请在答题卷上作答,满分150分,考试时间120分数参考公式:1.线性回归方程ˆy=ˆb x +ˆa 中,1221ˆni ii nii x ynx y b xnx ==-=-∑∑, ˆa=y -ˆb x ; 2.方差2222121[()()()]n s x x x x x x n=-+-+⋅⋅⋅+-.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.为了了解某校高三级2000名学生某天体育锻炼的时间,从中抽取了80名学 生体育锻炼的时间进行统计分析. 在这个问题中, 80名学生的体育锻炼时间 的全体是A. 总体B.个体C.样本的容量D.样本 2.某中学初中部共有110名教师,高中部共有150名 教师, 其性别比例如图所示, 则该校男教师的人数为 A. 93 B. 123 C. 137 D. 167 3. sin 215°- cos 215°= A.-C. -12D.124. 某市2014年各月的平均气温(°C)数据的茎叶图如右图 则这组数据中的中位数是A. 19B.20C. 21.5D. 235. 设命题p :∀n ∈N, n 2>2n ,则⌝p 为A. ∃∉N, n 2≤2nB.∃n ∈N, n 2≤2nC.∀n ∈N, n 2≤2nD.∃n ∈N, n 2<2n 6.已知变量x 与y 负相关, 且由观测数据算得样本平均数x =3, y =3.5, 则由 观测的数据得线性回归方程可能为A.ˆy=0.4x +2.3 B.ˆy =2x –2.5 C.ˆy = –2x +9.5 D.ˆy = –0.3x +4.3 7. 若将一个质点随机投入如图所示的正方形ABCD 中, 则 质点落在以AB 为半径的扇形内(阴影部分)的概率是A. 2πB.4πC. 6πD. 8π 8. 从1,2,3,4中任取2个不同的数, 则取出的2个数之差的绝对值为1的概率是A.12错误!未找到引用源。

吉林省20162017学年高二上学期期中考试英语试题Word版含答案

吉林省20162017学年高二上学期期中考试英语试题Word版含答案

本试卷分为第一卷(选择题)和第二卷(非选择题)两部份。

满分150分。

考试时刻120分钟。

第Ⅰ卷第一部份:听力(共两节,满分20分)第一节(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三个选项当选出最佳选项,并标在试卷的相应位置。

听完每段对话后,你都有10秒钟的时刻来回答有关小题和阅读下一小题。

每段对话仅读一遍。

1. How long has the woman been playing the piano?A. For about 15 years.B. For about 9 years.C. For about 6 years.2. What time is it when the dialogue happens?A. At 10:30B. At 10:00C. At9:303. How much did the man earn each week?A.﹩400.B. ﹩900.C. ﹩1,600.4. How long has the man been away from China?A. For 13 years.B. For 26 years.C. For 30 years.5. How many kinds of elephants are there?A. One.B. Two.C. Three.第二节(共15小题;每小题1分,满分15分)听下面五段对话或独白,每段对话或独白后有几个小是,从题中所给的A、B、C三个选项当选出最佳选项,并标在试卷的相应位置。

听每段对话或独白前,你将有时刻阅读各个小题,每小题5秒钟;听完后,各小题将给出5秒钟的作答时刻。

每段对话或独白读两启遍。

听第6段材料,回答第6至7题。

6. How will the speaker go to Dudley Road?A. By taxi.B. By bus.C. By subway.7. How much will the man speaker pay?A.﹩20.B.﹩14.C. About﹩1,7.听第7段材料,回答第8至11题。

【K12教育学习资料】2016—2017学年高二数学上学期期中试题

【K12教育学习资料】2016—2017学年高二数学上学期期中试题

包四中2016-2017学年度第一学期期中考试高二年级数学试题时间:120分钟 满分:150分 命题人 审题人: 一、选择题(每小题5分,共60分.每小题只有一个正确选项) 1.cos()6π-的值是( )AB. C .12 D .12- 2.设,,a b c R ∈,且a b >,则( ) A .ac bc > B .11a b <C .阿D .33a b > 3.若1tan()47πα+=,则tan α=( )A.34B.43C.34-D.43-4.已知4=→a ,→e 为单位向量,当→→e a ,的夹角为32π时,→a 在→e 上的投影为( )A. 2B. 2-C. 32D. 32- 5.若不等式022>+-a ax x ,对R x ∈恒成立, 则实数a 取值范围为( ) AC6.已知实数,x y 满足11y x x y y ≤⎧⎪+≤⎨⎪≥-⎩,则目标函数2z x y =-的最大值为( )A .3B .4C .5D .67.设ABC ∆的内角,,A B C 所对的边分别为,,a b c ,若c o s c o s s i n b C c B a A +=,则ABC ∆的形状为( )A .直角三角形B .锐角三角形C .钝角三角形D .不确定 8.等差数列{}n a 的前n 项和分别为n S ,若)A .1-B .1C .2D 9.已知等比数列前n 项和为n S ,若42=S ,164=S ,则=8S ( ) A.160 B.64 C.64- D.160- 10.当191,0,0=+>>yx y x 时,y x +的最小值为( ) A .10 B .12 C .14 D .1611.已知函数x x f ωcos )(=)0,(>∈ωR x 的最小正周期为π,为了得到函数()=x g的图象,只要将()x f y =的图象( )B D12.函数()si ()n f x A x ωϕ=+(000A ωϕπ>><<,,)的图象如图所示,则()4f π的值为( )A .0 C .1 D 二、填空题(每小题5分,共20分)13.若2(2,3),(4,5),a b x x a =-=-若∥b ,则x = .14.在R 上定义运算⊙:a ⊙b =b a ab ++2 ,则不等式x ⊙)(2-x 0< 的解集是 .15.已知,2tan -=α=+ααsin cos .16.在数列{}n a 中,5611=a ,且n a a n n +=+1,则=1a . 三、解答题(本大题共70分,解答应写出文字说明、证明过程或演算步骤.) 17.(本题满分10分)已知向量a →(1=,2),b →(3=-,4).(1)求a b →→+与a b →→-的夹角;(2)若a →(⊥a b λ→→+),求实数λ的值.18. (本题满分12分)设△ABC 的内角A 、B 、C 所对的边分别为c b a 、、,已知41cos ,2,1===C b a .(Ⅰ)求△ABC 的周长; (Ⅱ)求)cos(C A -的值.19.(本题满分12分)已知函数2()22sin f x x x +. (1)求()f x 的最小正周期; (2)求()f x 在区间[0,]2π上的最大值和最小值.20.(本题满分12分)已知等差数列{}n a 的前n 项和为n S ,已知100,9105==S a . (I )求通项n a ; (II )记数列⎭⎬⎫⎩⎨⎧n S n 的前n 项和为nT ,求数列⎭⎬⎫⎩⎨⎧-++111n n T S 的前n 项和为n U .21.(本题满分12分)已知A 、B 、C 为三角形ABC 的三内角,其对应边分别为c b a 、、,若有c b C a +=2cos 2成立. (1)求A 的大小;(2)若32=a ,4=+c b ,求三角形ABC 的面积.22.(本题满分12分)已知数列{}n a 的前n 项和2n n S a =-,数列{}n b 满足11=b ,1873=+b b ,且112n n n b b b -++=(n ≥2).(1)求数列{}n a 和{}n b 的通项公式;(2)若nnn a b c =,求数列{}n c 的前n 项和n T .包四中2016-2017学年度第一学期期中考试高二年级数学试题时间:120分钟 满分:150分 命题人:谢丹 审题人:吕文娟一、选择题(每小题5分,共60分.每小题只有一个正确选项) 1.cos()6π-的值是( )A B . C .12 D .12- 【答案】A 【解析】试题分析:根据诱导公式236cos 6cos =⎪⎭⎫⎝⎛=⎪⎭⎫ ⎝⎛-ππ.故选A 考点:三角函数值的计算2.设,,a b c R ∈,且a b >,则( ) A .ac bc > B .11a b< C .22a b > D .33a b > 【答案】D 【解析】试题分析:A 项,不确定c 的正负,故A 项错误;B 项,当0>a 时,0<b 不成立,故B 项错误;C 项,当0>a ,0<b ,||||a b >时,不成立,故C 项错误;D 项,数的奇数次方维持原有符号,故D 项正确.故本题正确答案为D. 考点:不等式的恒等变换.3.若1tan()47πα+=,则tan α=( )(A )34 (B )43(C )34- (D )43-【答案】(C ) 【解析】试题分析:由1tan()47πα+=所以tan 113,tan 1tan 74ααα+=∴=--.故选(C ). 考点:1.角的和差公式.2.解方程的思想.4.已知4=→a ,→e 为单位向量,当→→e a ,的夹角为32π时,→a 在→e 上的投影为( )A. 2B. 2-C. 32D. 32- 【答案】B 【解析】试题分析:,a 在e 上的投影为2cos ,41cos23a e a e a a e aa eeπ⋅⋅〈〉===⨯⨯=-.考点:向量的投影,向量的运算.5.若不等式022>+-a ax x ,对R x ∈恒成立, 则实数a 取值范围为() AC 【答案】D 【解析】试题分析:由与不等式对应的二次函数图像可知需满足2044001a a a ∆<∴-<∴<< 考点:三个二次关系6.已知实数,x y 满足11y x x y y ≤⎧⎪+≤⎨⎪≥-⎩,则目标函数2z x y =-的最大值为( )A .3B .4C .5D .6 【答案】C 【解析】试题分析:作出可行域如图:再作出目标函数线2y x =,并平移使之经过可行域,当目标函数线过点()2,1A -时纵截距最小但z 最大,此时()max 2215z =⨯--=.故C 正确. 考点:线性规划问题.7.设ABC ∆的内角,,A B C 所对的边分别为,,a b c ,若c o s c o s s i n b C c B a A +=,则ABC ∆的形状为( )A .直角三角形B .锐角三角形C .钝角三角形D .不确定 【答案】A 【解析】试题分析:由于cos cos b C c B a +=,所以sin 1,2A A π==,所以是直角三角形.考点:解三角形、正余弦定理.8.等差数列{}n a 的前n 项和分别为n S ,若)A .1-B .1C .2 D【答案】B 【解析】试题分析:据等差数列的前n 项和公式知()()1116111774111111721777112a a a S a a S a +===⨯=+,故本题选B .考点:等差数列前n 项和公式;等差数列的性质9.已知等比数列前n 项和为n S ,若42=S ,164=S ,则=8S ( ) A.160 B.64 C.64- D.160- 【答案】A 【解析】试题分析:由等比数列的性质可知2S 、42S S -、64S S -、86S S -成等比数列,因此()242S S -=()()()2242264642164364S S S S S S S S ---⇒-===,同理可得()226486423610812S S S S S S --===-, 因此()()()8866442210836124160S S S S S S S S =-+-+-+=+++=,故选A. 考点:等比数列的性质10.当191,0,0=+>>yx y x 时,y x +的最小值为( ) A .10 B .12 C .14 D .16 【答案】D 【解析】试题分析:因为191,0,0=+>>y x y x 所以19()()x y x y x y+=++=910y xx y++10≥+=16. 考点:基本不等式的应用.11.已知函数x x f ωcos )(=)0,(>∈ωR x 的最小正周期为π,为了得到函数()=x g的图象,只要将()x f y =的图象( )B D【答案】B 【解析】试题分析:由于函数x x f ωcos )(=)0,(>∈ωR x 的最小正周期为π,所以2ω=.所以函数()cos 2f x x = sin(2)2x π=+.所以将函数()x f y =向右平移8π即可得到()sin(2)4g x x π=+.故选B.考点:1.函数的平移.2.函数的诱导公式.12.函数()si ()n f x A x ωϕ=+(000A ωϕπ>><<,,)的图象如图所示,则()4f π的值为( )A .0 C .1 【答案】C 【解析】试题分析:由已知,4112,(),2,3126A T πππω==⨯-==,所以()2sin 2()f x x ϕ=+, 将(),26π代人得,()2,s 2si in(6)1n 23ππϕϕ==⨯++,所以,,326πππϕϕ==+,()2sin 2()2sin 2(),()2co 64466s f x x f πππππ=⨯==+=+C .考点:正弦型函数,三角函数诱导公式. 二、填空题(每小题5分,共20分)13.若2(2,3),(4,5),a b x x a =-=-若∥b ,则x = . 【答案】2或3 【解析】试题分析:因为//a b ,所以222(5)34,560,x x x x x ⨯-=-⨯-+==2或3. 考点:向量平行坐标表示14.在R 上定义运算⊙:a ⊙b =b a ab ++2 ,则不等式x ⊙)(2-x 0< 的解集是 .【答案】{}12<<-x 【解析】试题分析:此题属于概念题,考查应变能力,难度不大.由定义可知,原不等式可化为022)2(<-++-x x x x ,解之得12<<-x 。

2016-2017高二(上)期中

2016-2017高二(上)期中


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-数学-高二-福建省福州市2016-2017学年高二上学期期中考试数学试题

-数学-高二-福建省福州市2016-2017学年高二上学期期中考试数学试题

福建省福州市2016-2017学年高二数学上学期期中试题(完卷时间:120分钟,总分:150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,请将正确答案的序号填在答题纸上.) 1、若数列的前4项分别是1111,,,2345--,则此数列的一个通项公式为( )A.1(1)1n n +-+B.(1)1n n -+C.(1)n n -D.1(1)n n--2、下列选项中正确的是( )A .若a b >,则22ac bc > B .若a b >,c d <,则a bc d > C .若a b >,c d >,则a c b d ->- D .若0ab >,a b >,则11a b< 3、不等式20(0)ax bx c a ++<≠的解集为φ,那么 ( )A. 0,0a <∆≥B. 0,0a <∆≤C. 0,0a >∆≤D. 0,0a >∆> 4、已知等差数列{n a }满足,0101321=++++a a a a 则有( ) 57.0.0.0.5199310021011==+<+>+a D a a C a a B a a A5、在△ABC 中,若B a b sin 2=,则A 等于( )A .06030或 B .06045或 C .060120或 D .015030或 6、若三条线段的长为5、6、7,则用这三条线段 ( ) A .能组成直角三角形 B .能组成锐角三角形 C .能组成钝角三角形 D .不能组成三角形 7、下列函数中,y 的最小值为2的是( ) A.1y x x =+ B.1(0)y x x x =+> C. 4(0)y x x x=+>D.y =8、已知等比数列{}n a 的前n 项和为n S ,若123=S ,606=S ,则9S =( )A .192 B.300 C.252 D.360 9、ABC ∆中,,,a b c 分别为角,,ABC 的对边,S 表示ABC ∆的面积,若cos cos sin a B b A c C +=,2221()4ABC S b c a ∆=+-,则角B等于( )A. 30︒B. 45︒C. 60︒D. 90︒10、如图,为测得河对岸塔AB 的高,先在河岸上选一点C ,使C 在塔底B 的正东方向上,测得点A 的仰角为60︒,再由点C 沿北偏东15︒方向走10米到位置D ,测得45BDC ∠=︒,则塔高AB 的高度为( )A.10B.102C.103D.10611、设实数,x y 满足条件, 若目标函数()0,0z ax bya b =+>>的最大值为 12,则3a +4b的最小值为( )A .B .256C .83D .412、将等差数列1,4,7……,按一定的规则排成了如图所示的三角形数阵。

2016-2017学年高二上学期期中考试数学试题Word版含答案

2016-2017学年高二上学期期中考试数学试题Word版含答案

北仑中学2016学年第一学期高二年级期中考试数学试卷(除高二4班以外的其它所有班级) 命题:贺幼龙 审题:莫芬利一、选择题:本大题共8小题,每小题5分,共40分.在每小题给出的四个选项中,恰有一项是符合题目要求的.答案请填在答题卷的表格中.1.若某几何体的三视图如图所示,则此几何体的直观图是 ( ▲ )第1题图2.若将圆锥的高扩大到原来的2倍,底面半径缩短到原来的12,则圆锥的体积 ( ▲ )A .扩大到原来的2倍B .缩小到原来的一半C .不变D .缩小到原来的163.若,m n 为两条不同的直线,,αβ为两个不同的平面,则以下命题正确的是 ( ▲ ) A .若α//m ,α⊂n ,则n m // B .若m =βα ,n m ⊥,则α⊥nC .若α//m ,α//n ,则n m //D .若α//m ,β⊂m ,n =βα ,则n m //第4题图 第5题图4.如图,ABCD -A 1B 1C 1D 1为正方体,下面结论错误..的是 ( ▲ )A .BD ∥平面CB 1D 1 B .AC 1⊥BDC .AC 1⊥平面CB 1D 1 D .异面直线AD 与CB 1所成的角为60°A BC D5.某几何体三视图如图所示,则该几何体的体积为 ( ▲ ) A .82π- B .8π- C .82π- D .84π-6.如果一个水平放置的图形的斜二测直观图是一个底角为45°,腰和上底均为1的等腰梯形,那么原平面图形的面积是 ( ▲ )A .2+2 B.1+22 C.2+22D .1+ 27.下列四个命题中正确的命题有 ( ▲ ) ①过空间任何一点P 可以作无数条直线与已知的异面直线b a ,都相交; ②三个平面两两相交,有三条交线,则此三条交线或交于一点,或互相平行;③直线a α⊥平面,直线b β⊥平面,则直线b a ,所成角与平面βα,所成角相等或互补; ④αβ⊥平面平面,,,m n m n αβ⊂⊂⊥,则β⊥m 或α⊥n .A.1个B.2个C.3个D.4个8.如图,正方体1111ABCD A B C D -的棱长为1,点A 在平面α内,点E 是底面ABCD 的中心.若1C E ⊥平面α,则1C AB ∆在平面α内的射影的面积为 ( ▲ )ABCD第8题图 第11题图 第12题图二、填空题:本大题共7小题,前4题每空3分,后3题每空4分,共36分.将正确答案填在答题卷的横线上.9.正方体1111ABCD A B C D -的棱长为1,则其表面积为 ▲ ,其内切球的体积为 ▲ . 10.将一个边长分别是2 cm 和3 cm ,两邻边夹角为60°的平行四边形绕其3 cm 边上的高所在直线旋转一周形成的简单几何体是 ▲ ,其体积为 ▲ cm 3.11.如图,P 是正方形ABCD 外一点,且PA ABCD ⊥平面,则此几何体的5个面中互相垂直的面有 ▲ 对;若PA AB =,则直线PC 与平面PAB 所成角的正切值为 ▲ .1C 1A 1D 1B CDABαE12.一个几何体的三视图及部分数据如图所示,正视图、侧视图和俯视图都是等腰直角三角形,则该几何体体积为 ▲ ,表面积为 ▲ .第13题图 第15题图13.如图,已知正三棱锥A —BCD 侧面的顶角为45°,侧棱长为a ,动点E 在侧棱AC 上运动,则线段BE 、ED 长度和的最小值为 ▲ .14,a b ,则a,b 所满足的等量关系式是 ▲ .15.如图,已知平面⊥α平面β,、A B 是平面α与β的交线上的两个定点,β⊂DA ,β⊂CB ,且6,8,4,,===⊥⊥AB BC AD CB DA αα,在平面α上有一个动点P ,使得BPC APD ∠=∠,则PAB ∆的面积的最大值为 ▲ .三、解答题:本大题共5小题,共74分.解答应写出文字说明,证明过程或演算步骤.16.(本题满分14的正四棱锥P -ABCD 中,侧棱与底面所成角的大小为60°. (1)求侧棱的长度;(2)求正四棱锥P -ABCD 的外接球的表面积.第16题图 第17题图17.(本题满分15分)如图所示,在直三棱柱ABC -A 1B 1C 1中,AB =BC =AA 1=1,∠ABC=PDCBABCDAE90°. 点E 、F 分别是棱AB 、BB 1的中点. (1)求三棱锥B -AFC 的体积; (2)求异面直线EF 和BC 1所成的角.18.(本题满分15分)如图1,平面四边形 ABCD 关于直线AC 对称,2=CD ,60,90,A C ︒︒∠=∠=把ABD ∆沿BD 折 起(如图2)使二面角C BD A --的余弦值 为33.对于图2 (1)求AC 的长;(2)证明:⊥AC 平面BCD ;(3)求直线AC 与平面ABD 所成角的正弦值.第18题图19.(本题满分15分)如图,两矩形ABCD ,ABEF 所在平面互相垂直,DE 与平面ABCD 及平面ABEF 所成角分别为0030,45,N M ,分别为DB DE 、的中点,且1=MN . (1)求证:⊥MN 平面ABCD ; (2)求二面角B DE A --的正弦值.第19题图 第20题图20.(本题满分15分)如图,矩形ABCD 所在的半平面和直角梯形CDEF 所在的半平面 成60的二面角,.45,6,23,2,,// =∠===⊥CFE CF EF AD DE CD CF DE (1)求证:BF ∥平面ADE ;A CDB图1CABD图2FACB ED(2)试问在线段CF 上是否存在一点G ,使锐二面角D EG B --的余弦值为41.若存在,请求出CG 的值;若不存在,请说明理由.北仑中学2016学年第一学期高二年级期中考试数学参考答案(除高二4班以外的其它所有班级)一.选择题二.填空题9._____6______ ___6π____ 10.__圆台_____ ___3319π__ 11.______5_____ ____22___ 12.___ 31____ ____32+__13. 14. 822=+b a15. 12三.解答题16.(本题满分14分) (1)2 (2)316π17. (本题满分15分)PDCBA(1)1/12(2)318.(本题满分15分)解:(Ⅰ)取的中点,连接,由,得:就是二面角的平面角,在中,(Ⅱ)由,,又平面(Ⅲ)方法一:由(Ⅰ)知平面平面∴平面平面平面平面,作交于,则平面,就是与平面所成的角方法二:设点到平面的距离为,∵于是与平面所成角的正弦为.19. (本题满分15分)(1)证明:∵平面ABCD⊥平面ABEF,且平面ABCD∩平面ABEF=AB,EB ⊥AB,∴EB⊥平面ABCD,又MN∥EB,∴MN⊥面ABCD.(2)解:过B作BO⊥AE于O点,过O作OH⊥DE于H,连BH,∵AD⊥平面ABEF,BO面ABEF,∴BO⊥平面ADE,∴OH为BH在平面ADE内的射影,∴BH⊥DE,即∠BHO为所求二面角的平面角,在Rt△ABE中,BO=,在Rt△DBE中,由BH·DE=DB·OE得BH=,∴sin∠BHO= .MOGFACBEDHOH20. (本题满分15分)证明:(1)∵在矩形ABCD 中BC ∥AD , AD ⊂平面ADE BC ⊄平面ADE , ∴BC ∥平面ADE , 同理CF ∥平面ADE , 又∵BC∩CF=C , ∴平面BCF ∥平面ADE , 而BF ⊂平面BCF , ∴BF ∥平面ADE . (2)∵CD ⊥AD ,CD ⊥DE∴∠ADE 即为二面角A-CD-F 的平面角, ∴∠ADE=60° 又∵AD∩DE=D , ∴CD ⊥平面ADE , 又∵CD ⊂平面CDEF ∴平面CDEF ⊥平面ADE ,作AO ⊥DE 于O ,则AO ⊥平面CDEF .过O 作EH OH ⊥于H,连接BH,易得BHO ∠是锐二面角D EG B --的平面角 因为3=BO ,易求得55=OH 取CF 中点M,易知OHG ∆与EMG ∆相似,设x OG =(x>0),则EGEMOG OH =,即2)2(9355x x -+=,解得21=x 或2213-=x (舍)因此存在符合题意的点G,使得CG=23.。

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2016--2017学年度上学期高二期中考试英语试题第一节阅读理解(共20小题,每小题2分,满分40分)AAfter living in Michigan all my life, I can’t help but say that there are so many things to do here and so many places to visit. Just have a careful look at the following ones.Sleeping Bear DunesIf you want to be more adventurous in summer, make a trip here. Spending your day climbing the mountains of sand isn’t only a physical challenge ,but a perfect way to challenge your courage. Making it to the water might take a little while, but the view at the end is completely worth it.Grand HavenI’m a little prejudiced because this is where I was born and grew up. Beside staying at the beach all day, visitors can walk along the downtown street next to the water, watch the musical fountain at night, or even go boating. Near Holland and Muskegon, Grand Haven is not a place that you will get bored with in summer.Machinac IslandIt’s one of the most beautiful places to spend your time in summer. Take a weekend trip to the island where there are no cars. Take time to go biking around the island and visit historical buildings to make your trip more unforgettable.The Upper PeninsulaThere are so many beautiful places in the UP that it takes you a week just to cover the places you should visit. The pictured Rocks on Lake Superior are a beautiful site St.Ignace borders the Straits of Mackinac and features lighthouses, hiking and fishing. Tahquamenon Falls State Park is the second largest park of the Michigan State Park and features waterfalls that you won’t be able to stop staring at in summer.1.Which of the following words can best describe a visit to Sleeping Bear Dunes?A.interesting but exhaustingB. Challenging but rewardingC. Frightening but appealingD. Encouraging but demanding2.How can visitors tour around Mackinac Island?A.By bikeB. By carC. By busD. By boat3.Where can visitors have a good view of waterfalls?A.In St.IgnaceB. At Lake SuperiorC. On the Straits of MackinacD. At Tahquamenon Falls State Park4. What can we conclude about the four places from the text?A. They have beautiful beachesB. They are only open in summerC. They deserve visiting in summerD. They need a long time to exploreBThe New York baseball players had a busy week, but they didn’t just stay on the practice field.The baseball players exchanged bats for books at their 8th annual Hope Week, which let the players have a chance to get involved in serving the local community, this time with Barbershop Books, a program centered on encouraging reading among young men of color. The founder wanted to create a space for kids to feel comfortable and read at the same time, and the kids did just that in a small barbershop in the middle of Harlem, an area of New York City in northeast Manhattan ,where many black people live.It was pretty much a dream that came true for the boys, who got to spend the day hanging out with the players and reading, of course, before attending an evening game as guests of honor. And the players were just as excited to be there.The team’s participation could attract people’s attention to both the community and the kids. “Their coming here and using their stage for something as small as this, but as big as this, is just an amazing thing,” said Denny Mitchell, the barbershop owner.What was more significant was the positive influence the activity had on the community and on the children.Forget the baseball games played each fall between the winning teams of the American League and the National League to decide the championship. Participating in the activity isa big win!5.What do you know about Barbershop Books?A. It was held at the players’ request.B. It was held in a black community.C. It was aimed at sending books to kids.D. It was for all of the American children.6. What did the players do at the end of their activity?A. They chatted with the kids.B. They read books to the kids.C. They played a baseball game.D. They donated books to the kids.7. Where does the true meaning of the activity lie?A. The chance the kids got to read more books.B. The things the kids learned from the players.C. Its focus on the place where the activity was held.D. Its positive influence on the kids and the community.CMany cars advertisements(广告)in the United States are red, blue or green. But nearly 75% of the new cars sold in the United States are black, white, silver or gray.Les Jackson is a reporter who writes about cars. He says Americans prefer the cars whose colors do not show dirt clearly. In this way, the owners can wash their cars less to save money. In fact, some areas that are short of water do not allow people to wash their cars often.Dan Benton works for a company called Axalta, which sells paint(涂料)to international car markers. He says white cars are usually sold at a better price than cars of other colors. And they absorb(吸收)less energy, which means temperatures inside them are lower in warmer areas. Besides, research at Monash University in Australia suggests that there is a lower risk of car accidents during the day for white cars compared with darker ones. In China, many buyer say white makes a small car look bigger.Axalta says about 11% of the cars sold in North America are red and 8% are blue. In South America, 10% of the new cars sold are red.“Green cars have become less popular,” Dan Benton says. “In the mid 1990s, green was the most popular color in North America. But today, green cars a re hard to find.”In the future, people may not have to choose the color of their cars---technology may let owners change their cars’ paint color anytime.8.Americans like to buy cars that don’t show dirt clearly in order to _________A. save energyB. save moneyC. follow the government policyD. reduce car accidents9..According to the text, white cars have many features except _________A. looking more beautifulB. absorbing less heatC. being more expensiveD. being safer10.________ people think white cars appear to be bigger than they really are.A. south AmericanB. AustralianC. ChineseD. North American11.Nowdays in North American, which color car may be dislike by most people?A. RedB. WhiteC. BlueD. GreenDAs we all know, human has very advanced intelligence compared with plants and other living creatures. People’s capacity to fully understand, reason, organize, solve problems, display emotional intelligence, learn, communicate and think abstractly is out-standing. It is believed to be much more emphasized (强调) nowadays, when bright folks are normally one level higher than everyone else.Nowadays many people are of the view that a high intelligence quotient (IQ) is an excellent assistance in pulling through life. Statistics reveal that whatever activity enabling the brain to function and operate, no matter whether in the form of difficulties or other obstacles (障碍) that can be overcome by this specific body area, has a positive effect on it.So every time you are making full use of your mind for right answers in a quick crossword(纵横字谜游戏)or if you are answering difficult riddles(谜语), you might be, in fact, raising the probabilities of increasing your intelligence. You could play effective brain games like crosswords, chess, riddles, puzzles, Internet games, word games and other games. These are useful in raising your intelligence primarily because they let you think in a different way as you make an effort to uncover answers to certain problems. Aside from this, this form of brain training continually encourages the brain to function and widen its capacity(能力)to concentrate and learn.Needless to say, you’ve to make sure that you make the most of these brain exercises by not cheating yourself. Lastly, if you progress to a much more complicated level, try your best to answer difficult problems with no hints or clues so that you are able to further force your brain to work on its own.12. The first paragraph mainly talks about_____.A. the high level of human intelligenceB. the difference between mankind and other creaturesC. the reasons for emphasizing human intelligenceD. the benefits of thinking and other brain exercises13. According to the author, many people increase their IQ in order to _____.A. be one level higher than othersB. play games such as riddlesC. deal with difficulties in lifeD. enable the brain to function14. According to the text, through continuous brain training, people can _____.A. learn a certain skill quicklyB. concentrate in their classC. become a confident personD. communicate with others well15. What does the author mainly advise in the text?A. Getting rid of Internet games.B. Playing brain games to prevent brain disease.C. Solving difficult problems on your own.D. Making good use of brain exercises to increase your intelligence.EMy mother is a diligent and kind woman. She is very busy from morning till night. As a teacher, she works hard. 16 Both my brother and I love her dearly as she loves us.My mother has been teaching math at a middle school in my hometown. She goes to work early in the morning and does not return home until late in the afternoon. 17 She treats them with patience and teaches them well. For her excellent quality and very good teaching results, she has been elected as a model teacher several times.18 Every day, when she comes back home from work, she sets about doing housework, sweeping the living room and bedrooms or cleaning the furniture, and putting everything in good order. She seems to be busy all the time. As she has been very busy working every day, she looks older than her age. But she looks as cheerful and happy as ever. Mother never buys expensive dresses for herself, but she often buys some inexpensive but high quality clothes for us. 19 She just eats a plain meal outside when she is too busy to cook herself. She lives a busy yet simple life, without any complaints.Often she says to us, “work while you work, and play while you play. That is the way to be happy and gay. If you do not work, you will become lazy and be of no use to society”. What a piece of good advice this is! 20 This advice of hers will always serve as a guide to my behavior. My mother is great indeed, and I always feel proud of her.A. My mother is hard-working and never wastes money.B. As a mother, she takes good care of us and gives us every comfort.C. Can you tell us something about your mother?D. She never goes to expensive restaurants to enjoy meals.E. I never forget it and always bear it in my mind.F. She enjoys listening to classic music.G. She loves her students and cares for them.第二节.完形填空(共20小题,每小题1.5分,共30分)The first time I saw Kai, she was sitting in my front yard bugging my dog. Seeing me, she __21__,smiled,and waved. She introduced herself as my __22__ neighbor while she continued petting my dog. I like her __23__ but didn’t kn ow then what an impact(影响)she would have on my __24__.Soon we were not only neighbors but good __25__. When Kai greeted you with her __26__ voice, you always felt like the most special person in the world. Anyone who came to her door was treated like __27__. Whenever my sons, daughters, and I visited her, she would __28__ us in with a smile, sit us down, and __29__ us a piece of cake. She was always __30__ others and encouraging others. No matter who you were, you __31__ left her house feeling a little happier.All of the time I was getting to know Kai, though, she was __32__. She told me that her illness was terminal(晚期的). She was battling(搏斗) with several health problems and was slowly losing the __33__. Her husband and she had their own business,__34__ after a while, Kai was too __35__ to work anymore. She had to spend most of her time in __36__. Finally, on a cold morning, her __37__ gave out and she died in her home. The day she__38__. I walked back to my house, closed the door to my bedroom and __39__. She had touched me so much. I had become a __40__ person because of her. I still miss her today.21.A.looked around B. went away C. came back D. stood up22.A.next B. only C. new D. friendly23.A.gradually B. immediately C. finally D. actually24.A.job B. life C. children D. parents25.A.friends B. classmates C. partners D. writers26.A.funny B. sweet C. low D. loud27.A.family B. leaders C. passengers D. guests28.A.call B. follow C. push D. welcome29.A.buy B. cut C. send D. tell30.A.feeding B. watching C .helping D .teaching31.A.never B. sometimes C. often D. always32.A.falling B. missing C. dying D. leaving33.A.fight B. opportunity C .interest D. wealth34.A.because B. so C. but D. and35.A.old B. angry C. nervous D. weak36.A.town B. office C. bed D. school37.A.body B. patience C. house D. husband38.A.turned up B. passed away C. broke down D. gave up39.A.cried B. waited C. stopped D. slept40.A.richer B. braver C. taller D. better第三节语法填空Peter is three times the size of other children of his age. He is so heavy that he stops breathing while sleeping, leaving his 41_______(terrify) parents fearing that one day he may not wake up.“Everything is hard for him---he is a baby 42_______(carry) an adult’s weight. His heart must be working under a lot of 43_______(press). If he doesn’t get the treatment he requires ,there is a very good chance 44_______he will pass away,”said his father.Peter was born healthy, 45_______immediately started gaining weight. Doctor believe he may be suffering from Prader-Willi syndrome, a rare genetic condition which means he is 46_______(able) to stop eating.He now 47_______(weigh) 178 pounds and is still gaining weight though he has been 48_______(strict) following a low-fat diet and walks for 40 minutes each day.Despite their constant struggle, his parents refuses to give up on him, and say they will do anything they can 49_______(improve) his quality of life.Peter visits the doctor every three months to try to control his condition, but currently there is no cure 50_____ Prader-Willi syndrome.第四节短文改错In order to encourage us take more exercise, we are going to organize a mountain-climbing activity in October 10. We are to gather at the school gate and started at 7:20 a.m. by the bus and get back at 7:00 p.m. We will climb Mangshan mountain in the morning ,and have a picnic at noon. In the afternoon we will be dividing into groups and have some freely time. Remember to take photo and make notes for the photo exhibition at our school. Besides, takes your lunch and drinking water with you. Whether you want to join, please come to the Student Union or sign up before October 5.第五节作文假若一个澳大利亚教育参观团要到你校,他们想了解中国教育的基本情况,请根据以下所给提示,用英语写一篇题为Education in China Today的短文,为来客做介绍。

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