【全国百强校】北京大学附属中学河南分校(宇华教育集团)2015-2016学年高一下学期期末考试英语试题
【全国百强校】北京大学附属中学河南分校2015-2016学年高一上学期第一次月考数学试题
北大附中河南分校2015-2016学年上学期9月考试卷高一数学考试时间 120 分钟 满分 150 分一、选择题(每小题5分,共60分) {1,2}A =,{2,3,4}B =,则1.设集合A B =( )A.{1} B.{1,2} C.{1,2,3}D.{1,2,3,4} 2.设集合{}|43A x x =-<<,{}|2B x x =≤,则A B = ( )A .(4,3)-B .(4,2]-C .(,2]-∞D .(,3)-∞3.下列哪组中的两个函数是同一函数( )A.3y =与y x =B.2y =与y x =C.y x =与2y = D.y x =与2x y x = 4.下列函数中,定义域为7.已知()121+=-x x f ,则()3f 的值是( )A .5B .9C .7D .88.已知函数21()2x f x x ⎧+=⎨-⎩(0)(0)x x ≤>,则))1((f f 的值是( ) A .-2 B .2 C . -4 D .59.给出下列集合A 到集合B 的几种对应,其中,是从A 到B 的映射的有( )A .(1)(2)B .(1)(2)(3)C .(1)(2)(4)D .(1)(2)(3)(4)10. 函数01()()2f x x =- ) A.1(2,)2- B.上的最值.22. (本小题满分12分)若f (x )是定义在(0,+∞)上的增函数,且对一切x ,y >0,满足 f (x y )=f (x )-f (y ).(1)求f (1)的值; (2)若f (6)=1,解不等式f (x +3)-f (13)<2.高一数学月考试卷答案一、 选择题1-5 DBACD 6-10 CBDAC 11-12 AB二、 填空题 13.{2,4,6}14.﹣3 15. {(3,-1)}16. (-∞,1)三、 解答题17.解:(1)原式=-6a 23-(-13)b -13-(-13)=-6a .(2)原式=94+1-(32)2+π-3=π-2. 18、解:A ∩B={4,5} ,A ∪B={1,2,3,4,5,6,7,8}A ∩(U CB )={1,2,3},A ∪(B ∩C)= {1,2,3,4,5,7}.19、证明:任取1x ,2x ∈(0,+∞)且1x <2x则f(1x )-f(2x )=2112x x x x - ∵ 1x ,2x ∈(0,+∞)且1x <2x∴f(1x )-f(2x )<0即f(1x )<f(2x )∴函数1()f x x x=+在(1,)+∞是增函数. 20.解:(1){x ︱x ≠1且x ≠-1}(2)f(-x)=f(x) 偶函数21.解:(1)设)0()(2≠++=a c bx ax x f 5,125)1()3(=+-=-∴=-=c b a ab f f (1)由函数y=f(x)的最大值为9可得:f (1)=a+b+c=9 (2) 由(1)、(2)解得:a=-1,b=2,c=8所以 82-)(2++=x x x f(2)因为f(x)对称轴为x=1所以f(x)在上单调递增,在(1,4]上单调递减 则0)4()(9)1()(min max ====f x f f x f ,,22.解:(1)在f (x y )=f (x )-f (y )中,令x =y =1,则有f (1)=f (1)-f (1),∴f (1)=0.(2)∵f (6)=1,∴f (x +3)-f (13)<2=f (6)+f (6),∴f (3x +9)-f (6)<f (6),即f (x +32)<f (6).∵f (x )是(0,+∞)上的增函数, ∴⎩⎨⎧x +32>0,x +32<6解得-3<x <9. 即不等式的解集为(-3,9).。
【全国百强校】北京大学附属中学河南分校(宇华教育集团)2015-2016学年七年级3月月考英语试
北京大学附属中学河南分校(宇华教育集团)2015-2016学年七年级3月月考英语试题考试时间80分钟满分100分一、单项选择。
(15分)1. --- Can Tim play _________ chess?---Yes. And he can play _________ drums, too.A. the; theB. the; /C. / ; theD. /; /【答案】C【解析】试题分析:句意:蒂姆会下象棋吗?是的,他会。
他也会敲鼓。
球类棋类前不加任何冠词,乐器前用定冠词the。
结合句意,故答案选C。
考点:考查冠词的用法。
2. --- ______ your friend play the guitar?---Yes, he can, but he can’t play it well.A. MustB. CanC. ShouldD. Need【答案】B考点:考查情态动词的用法。
3. Alan always gets up late and then goes to school, so he ______ eats breakfast.A. alwaysB. usuallyC. neverD. sometimes【答案】C【解析】试题分析:句意:艾伦总是起床很晚接着就去上学,所以他从来不吃早饭。
A总是B通常C从不D有时,依据句意可知,答案为C。
考点:考查频率副词的用法。
4. --- What time do you take a walk in the morning?--- ________.A. On weekendsB. With my friendsC. At about 6:30D. For an hour【答案】C考点:考查疑问句的用法。
5. --- ______ does your father go to work?---He rides his bike.A. WhereB. WhenC. WhyD. How【答案】D【解析】试题分析:句意:你的爸爸怎么样去上班?——他骑自行车。
【全国百强校】北京大学附属中学河南分校(宇华教育集团)2015-2016学年高二(宏志班)上学期
第Ⅰ卷(共60分)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. 下列结论正确的个数是( )①若0x >,则sin x x >;②命题“0x ∀>,ln 0x x ->”的否定是“00x ∃>,00ln 0x x -≤”; ③“命题p q ∨为真”是“命题p q ∧为真”的充分不必要条件.A .1个B .2个C .3个D .4个 【答案】B考点:1、命题真假的判定;2、全称命题的否定;3、充分条件与必要条件的判定. 2.复数z 为纯虚数,若()3i z a i -⋅=+(i 为虚数单位),则实数a 的值为( ) A .13 B .3 C .13- D .3- 【答案】A 【解析】试题分析:由题意,得()(3)3133(3)(3)1010a i a i i a a z i i i i +++-+===+--+.因为复数z 为纯虚数,所以310103010a a -⎧=⎪⎪⎨+⎪≠⎪⎩,解得13a =,故选A . 【一题多解】设()z bi b R =∈,代入()3i z a i -⋅=+,得3b bi a i +=+,则根据复数相等的条件可知31b a b =⎧⎨=⎩,解得13a b ==,故选A . 考点:1、复数的运算;2、纯虚数的概念.3.锐角三角形C AB 中,a 、b 、c 分别是三内角A 、B 、C 的对边,设2B =A ,则ba的取值范围是( )A .()1,2B .()0,2C .)2D .【答案】D考点:1、正弦定理;2、二倍角. 【易错点睛】此类题型解决的基本思路是将ba表示为某个变量的表达式,然后通过变量的范围求其范围.本题解答过程中在利用正弦定理得到2cos bA a=后,忽视角A 的取值范围,或错误确定A 的取值范围,其确定的关键是要清楚90A B +>︒,才能正确确定其范围.4.已知数列{}n a 的通项()()1log 2n n a n +=+(n *∈N ),我们把使123n a a a a ⋅⋅⋅为整数的n 叫做优数,则在(]0,2015内所有优数的和为( )A .1024B .2012C .2026D .2036 【答案】C 【解析】试题分析:因为()()lg 2lg 1n n a n +=+,所以()()()()1232lg 2lg 2lg 3lg 4log 2lg 2lg 3lg 1lg 2n n n a a a a n n ++===++ .令()2log 2n k +=(k Z ∈),则22k n =-.由0222015k <-≤,得222017k <≤(k Z ∈),所以2210k≤≤(k Z ∈),所以所求优数的和为2310(22)(22)(22)-+-++- =94(12)2912--⨯-=2026,故选C .考点:1、对数的运算;2、换底公式;3、等比数列的前n 项和.5.已知实数m ,n 满足不等式组24230m n m n m n m +≤⎧⎪-≤⎪⎨+≤⎪⎪≥⎩,则关于x 的方程()23260x m n x mn -++=的两根之和的最大值和最小值分别是( )A .7,4-B .8,8-C .4,7-D .6,6- 【答案】A考点:简单的线性规划问题.6.已知点P 是抛物线22y x =上的一个动点,则点P 到点()0,2的距离与P 到该抛物线准线的距离之和的最小值为( )AB .3 CD .92【答案】C 【解析】考点:1、抛物线的定义;2、抛物线的几何性质.7.正项等比数列{}n a 满足:3212a a a =+,若存在m a ,n a ,使得2116m n a a a =,则14m n+的最小值为( ) A .256 B .134 C .73 D .32【答案】D 【解析】试题分析:由题意,得21112a q a q a =+,解得2q =或1q =-(舍去).又2116m n a a a =,所以216m n q +-=,所以24m n +-=,即6m n +=,所以14114141()()(5)(5666n m m n m n m n m n +=++=++≥+=32,当且仅当4n mm n=,即2n m =时等号成立,故选D . 考点:1、等比数列的通项公式;2、基本不等式.8.设R a ∈,若函数xy e ax =+,R x ∈有大于零的极值点,则( )A .1a <-B .1a >-C .1a e >- D .1a e<- 【答案】A 【解析】试题分析:因为xy e a '=+,所以x e a =-.又该函数有大于零的极值点,所以01x a e e -=>=,所以1a <-,故选A .考点:1、导数的运算;2、函数的极值.9.已知双曲线22212x y a -=(a >3π,则双曲线的离心率为( )A C D .2【答案】A考点:双曲线的几何性质.10.已知双曲线E 的中心为原点,()F 3,0是E 的焦点,过F 的直线l 与E 相交于A ,B 两点,且AB 的中点为()12,15N --,则E 的方程为( )A .22136x y -=B .22145x y -=C .22163x y -=D .22154x y -=【答案】B 【解析】试题分析:由已知条件易得直线l 的斜率为1FNk k ==,设双曲线方程为22221(0,0)x y a b a b-=>>,11(,)A x y ,22(,)B x y ,则有22112222222211x y a bx y a b ⎧-=⎪⎪⎨⎪-=⎪⎩,两式相减并结合1224x x +=﹣,1230y y +=﹣得212212415y y b x x a-==-,即2245b a =.又229a b +=,解得2245a b ==,,故选B .考点:1、直线与双曲线的位置关系;2,双曲线的几何性质.11.设三角形C AB 的三边长分别为a ,b ,c ,面积为S ,内切圆半径为r ,则2Sr a b c=++;类比这个结论可知:若四面体C S -AB 的四个面的面积分别为1S ,2S ,3S ,4S ,内切球的半径为r ,四面体C S -AB 的体积为V ,则r =( ) A .1234V S S S S +++ B .12342VS S S S +++C .12343V S S S S +++ D .12344VS S S S +++【答案】C 【解析】试题分析:设四面体的内切球的球心为O ,则球心O 到四个面的距离都是R ,所以四面体的体积等于以O 为顶点,分别以四个面为底面的4个三棱锥体积的和,则四面体的体积为A BCD V -四面体=12341()3S S S S R +++ ,所以43213S S S S VR +++=,故选C . 考点:类比推理.12.已知函数()f x 的定义域为()0,+∞,且满足()()ln x f x xf x x '+=,()1f e e=,则下列结论正确的是 ( )A .()f x 有极大值无极小值B .()f x 有极小值无极大值C .()f x 既有极大值又有极小值D .()f x 没有极值 【答案】D考点:1、导数的运算;2、利用导数研究函数的极值.第Ⅱ卷(共90分)二、填空题(每题5分,满分20分,将答案填在答题纸上)13.设i 是虚数单位,则()()3211i i +=- .【答案】1i -- 【解析】试题分析:()()()()()()32221111111i i i i i i i +++==-+=----.考点:复数的运算.【知识点睛】复数的计算与求值,除掌握复数的四则运算法则外,可掌握并熟记:2(1)2i i +=,2(1)2i i -=,11i i i +=-,11ii i -=-+,31()12-+=,31()12--=,1230n n n n i i i i ++++++=,41n i =,41n i i +=,421n i +=-,43n i i +=-等.14.已知点(),x y P 到点()0,4A 和()2,0B -的距离相等,则24x y +的最小值为 .【答案】考点:1、两点间的距离公式;2、基本不等式.15.在等差数列{}n a 中,10a >,10110a a <,若此数列的前10项和10S p =,前18项和18S q =,则数列{}n a 的前18项和18T = . 【答案】2q p -+ 【解析】试题分析:因为10a >,10110a a <,所以1011000d a a <><,,,∴181101118T a a a a =+⋯+--⋯-=101810(2)S S S q p --=-+.考点:1、等差数列的性质;2、数列求和.【技巧点睛】等差数列问题如果出现了不等式,通常与等差数列的单调性相关,由此可确定其相关项的符号,这在求等差数列各项绝对值之和时显得特别重要,因为各项含有绝对值,去掉绝对值是关键,此题关键是确定等差数列各项的符号.16.半径为r 的圆的面积()2S r r π=,周长()C 2r r π=,若将r 看作()0,+∞上的变量,则()22rr ππ'=①①式可用语言叙述为:圆的面积函数的导数等于圆的周长函数.对于半径为R 的球,若将R 看作()0,+∞上的变量,请你写出类似于①的式子: ② ②式可用语言叙述为 .【答案】324R 4R 3ππ'⎛⎫= ⎪⎝⎭,球的体积函数的导数等于球的表面积函数【解析】试题分析:因为34=3V R π球,所以 324R 4R 3ππ'⎛⎫= ⎪⎝⎭,故①式可填324R 4R 3ππ'⎛⎫= ⎪⎝⎭, 用语言叙述为“球的体积函数的导数等于球的表面积函数.” 考点:归纳推理.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)已知正数a 、b 、c 满足2a b c +<,求证:c a c <<+ 【答案】见解析.考点:分析法证明不等式.【知识点睛】分析法是指从需证的不等式出发,分析不等式成立的充分条件,进而转化为判定这个条件是否具备.其特点和思路是“执果索因”,即从“未知”看“需知”,逐步靠拢“已知”.用分析法证明⇒AB的逻辑关系为:123n ⇐⇐⇐⇐⋯⇐⇐BBBBBA.18.(本小题满分12分)在C ∆AB 中,角A ,B ,C 所对的边长分别为a ,b ,c ,向量()2sin ,2cos m =B B,),cos n =B -B,且1m n ⋅=.(I )求角B ;(II )若a ,b ,c 成等差数列,且2b =,求C ∆AB 的面积.【答案】(I )3π;(II【解析】考点:1、向量的数量积运算;2、二倍角;3、两角和与差的正弦;4、余弦定理;5、三角形面积公式;6、等差数列的性质.19.(本小题满分12分)已知数列{}n a 的前n 项和22n S n n =+(n +∈N ),数列{}n b 的前n 项和21n n T =-(n +∈N ).(Ⅰ)求数列11n n a a +⎧⎫⎨⎬⋅⎩⎭的前n 项和;(Ⅱ)求数列{}n n a b ⋅的前n 项和. 【答案】(Ⅰ)()323n n +;(Ⅱ)()2121nn -+.【解析】试题分析:(Ⅰ)先由1n n n a S S -=-,求得n a ,再用裂项法求即可求得数列11n n a a +⎧⎫⎨⎬⋅⎩⎭的前n 项和;(Ⅱ)先由1n n n b T T -=-,求得n b ,再用错位相减法即可求得数列{}n n a b ⋅的前n 项和.试题解析:(Ⅰ)∵1n n n a S S -=-=222(1)2(1)n n n n +----21n =+(2)n ≥,又113a S ==,满足上式,∴21n a n =+. ∵1111()(21)(23)22123n n n n =-++++,考点:1、数列的通项与前n 项和的关系;2、裂项法与位相减法求数列的和.【方法点睛】裂项相消法:具体的操作方法是将数列的通项分成两个式子的代数差,即()(1)n a f n f n =+-,然后累加抵消掉中间的许多项.错位相减法:形如{}·n n a b 的数列,其中{}n a 是等差数列,{}n b 是等比数列,则可在求和等式两边同乘{}n b 的公比,然后两等式错位相减.即如果一个数列是由一个等差数列与一个等比数列对应项的积构成的数列,求此数列的前n 项和可利用.20.(本小题满分12分)如图(1),C ∆AB 是等腰直角三角形,其中C C 4A =B =,E ,F 分别为C A ,C B 的中点,将F ∆AE 沿F E 折起,点A 的位置变为点'A ,已知点'A 在平面上的射影O 为C E 的中点,如图(2)所示.(Ⅰ)求证:F C 'E ⊥A ; (Ⅱ)求三棱锥F A BC '-的体积.【答案】(Ⅰ)见解析;.考点:1、空间直线与直线的位置关系;2、空间直线与平面垂直的性质与判定;3、三棱锥的体积.【规律点睛】求解翻折问题的基本方法:(1)比较、观察翻折前后的图形变化,弄清哪些几何量和几何位置关系在翻折过程中发生了变化,哪些没有变化,将不变的条件集中到立体图形中,将问题归结为一个条件与结论明朗化的立体几何问题.21.(本小题共12分)过点()C 0,1的椭圆22221x y a b +=(0a b >>,椭圆与x 轴交于两点(),0a A 、(),0a B -,过点C 的直线l 与椭圆交于另一点D ,并与x 轴交于点P ,直线C A 与直线D B 交于点Q .(I )当直线l 过椭圆右焦点时,求线段CD 的长;(II )当点P 异于点B 时,求证:Q OP ⋅O 为定值.【答案】(I )167;(II )见解析.(II )当直线l 与x 轴垂直时与题意不符.设直线l 的方程为1y kx =+(0k ≠且12k ≠).代入椭圆方程得()224180k x kx ++=. 解得10x =,22841k x k -=+,代入直线l 的方程得11y =,2221441k y k -=+, 所以D 点的坐标为222814,4141k k k k ⎛⎫-- ⎪++⎝⎭.………………9分 又直线C A 的方程为12x y +=,又直线D B 的方程为()12224k y x k+=+-,联立得 421x k y k =-⎧⎨=+⎩.因此()Q 4,21k k -+,又1,0k ⎛⎫P - ⎪⎝⎭.所以()1Q ,04,214k k k ⎛⎫OP ⋅O =--+= ⎪⎝⎭ . 故Q OP ⋅O 为定值.………………12分考点:1、椭圆的几何性质;2、直线与椭圆的位置关系;3、平面向量的数量积.22.(本小题满分12分)已知函数()()21ln 1f x a x ax =+++. (I )讨论函数()f x 的单调性;(II )设2a ≤-,证明:对任意1x ,()20,x ∈+∞,()()12124f x f x x x -≥-.【答案】(I )当0a ≥时,()f x 单调递增;当1a ≤-时,()f x 单调递减;当10a -<<时,()f x 在⎛ ⎝单调递增,在⎫+∞⎪⎪⎭单调递减;(II )见解析.(II )不妨设12x x ≥.由于2a ≤-,故()f x 在()0,+∞单调减少. 所以()()12124f x f x x x -≥-等价于()()121244f x f x x x -≥-,即()()221144f x x f x x +≥+.………………9分令()()4g x f x x =+,则()2124124a ax x a g x ax x x++++'=++=. 于是()()22214410x x x g x x x---+-'≤=≤. 从而()g x 在()0,+∞单调减少,故()()12g x g x ≤,即()()112244f x x f x x +≤+,故对任意1x ,()20,x ∈+∞,()()12124f x f x x x -≥-.………………12分高考一轮复习:。
【全国百强校】北京大学附属中学河南分校2015-2016学年高一上学期期中考试英语试题(原卷版)
北京大学附属中学河南分校2015-2016学年高一上学期期中考试英语试题考试时间100分钟满分120分第二部分:阅读理解(共两节,满分40分)第一节:(共15小题;每小题2分,满分30分)阅读下列短文,从每题所给的四个选项中(A、B、C和D)中,选出最佳选项AYou may think that an underground town of 3,500 people is something out of a science-fiction film. You may not believe that such a town has shops car parks, hotels, restaurants, cafes and much more. Well, Coober Pedy in Australia is just such a place.Miners and their families choose to live like this, hoping to get rich looking for the precious stones that Australia is famous for --- opals(蛋白石). Living underground is the only way to be away from the sandstorms and the high temperatures above ground. Deep down in the town far below the desert surface, the temperature is between 19℃and 20℃and life is cool.Mary Deane and her husband Jim are among the lucky ones. They live in a home, built with money from the opals Jim has found. “Whenever people hear we live underground, they always imagine a dusty cave,” says Mary, “but they are amazed at my clean kitchen, our furniture and electrical appliances in here.”However, not everything is perfect in Coober Pedy. Mary has a tiny garden that she is very proud of, but the grass is not real. Plant life is rare. Water is five times more expensive underground than it is overground. Recycling is a way of life, so Jim usually washes his car with bath water and they have a special system to reuse the water from the dishwasher and washing machine.Even so, most families enjoy life in Coober Pedy. The children can make as much noise as they want and there are no complaints from the neighbors because the thick walls stop sounds from traveling. Adults enjoy the peace and quiet away from the world above.21. People in Coober Pedy live underground______.A. because of their secret identitiesB. because it is warmer undergroundC. so that they can save some moneyD. due to the terrible natural environment.22. Which word can best describe Mary’s life underground according to Paragraph 3?A. Comfortable.B. Exciting.C. Healthy.D. Lonely.23. Which is the biggest problem people in Coober Pedy have to face?A. High living expenses.B. The awfully dusty environment.C. Shortage of water and greenery.D. The extremely high temperatures24. Children enjoy the life in Coober Pedy mainly because they _____.A. enjoy traveling around with their parentsB. can get many expensive toys from their parentsC. enjoy the peace and quiet while doing their homeworkD. can enjoy themselves without disturbing their neighborsBVolunteer Day schedule:7:30 a.m.: Meet at the Community Center for breakfast.8-8:30 a.m.: Visit with people from the many participating organizations. Choose which activity you’d like to help with for the day.8:30-9 a.m.: Board the bus for your chosen activity, and ride with other volunteers to your activity site.9-12:00 a.m.: Work as a volunteer.12:00 a.m.-1 p.m.: Share lunch with your volunteer group. Don’t forget to bring food for lunch from ho me!1-3:30 p.m.: Continue your volunteer work.3:30 p.m.: Board the bus that will take you back to the Community Center, where you will be able to talk with other volunteers and share your experiences.See below for a list of volunteer opportunities for Volunteer Day so you can begin thinking about which activity you might want to join.Happy Homes: it provides home repairs for needy people in the form of painting. It also provides painters to create beautiful paintings inside schools of community centers.Elder Care: Elder Care sends volunteers into nursing homes to spend time with them, play board games with them, and talk with them.City Parks Association: you can help plant flowers and bushes in city parks or pick up trash around the river banks. These activities are very active, so remember to be prepared with plenty of drinking water!Love and Learning: it provides volunteers to help children with learning disabilities. Read books out loud to groups of children aged four to six, or read one-on-one with struggling readers aged seven to eight.25. According to the schedule, how long will a volunteer work a day?A. 3 hoursB. 5.5 hoursC. 7.5 hours.D. 8 hours.26. To join Happy Homes, one should _____.A. be very good at art.B. enjoying talking with people.C. be able to play board games.D. like working with young children.27. For volunteers who enjoy being outside in nature, they can join _____.A. Elder CareB. Happy HomesC. Love and LearningD. City parks AssociationCFlorida is celebrating a big anniversary this year. Five hundred years ago, on April 2, 1513, Spanish explorer Juan Ponce arrived on the east coast of what is now Florida. Native Americans had been living there for centuries, but Ponce was the first European to set foot in what would become the United States.According to legend, Ponce may have landed in Florida by mistake. He is said to have been looking for an island called Bimini and its Fountain(喷泉) of Youth. The magical fountain could supposedly make old people young again. Instead, Ponce landed on Florida and claimed it for Spain. He named it La Florida, or “flowery place”.Ponce explored more of Florida’s coasts over the next few mon ths. He later returned to Spain but went back to Florida in 1521 to attempt to set up a colony. However, native Americans attacked him and his friends, and Ponce was killed. It wasn’t until 1565 that Spain set up a successful colony at St. Augustine on Florida’s east coast. It is the oldest European settlement in the U.S.Florida didn’t belong to the U.S. until Spain lost control. It was admitted to the U.S. as the 27th state in 1845. Today, Florida has one of the fastest-growing populations of any state. More than 19 million people call it home. It’s also popular with tourists. Last year, 89 million people visited the Sunshine State. These days, most visitors come in search of fun in the sun on its sandy beaches and its theme parks, such as Disney World and Sea World.28. Five hundred years ago,_____.A.the United States was foundedB.the first European came to FloridaC.Florida was discovered by human beingsD.Spanish explorer Juan Ponce was born29. What can we learn about Ponce from Paragraph 2?A.He hated FloridaB.He discovered Florida by accidentC.He finally found Fountain of YouthD.He could make old people young again.30. Ponce was killed_____.A.by his friendsB. on his way to FloridaC.during his second stay in FloridaD. after he set up a colony31. Which of the following is TRUE about Florida?A.Tourists are losing interest in it.B.Its beaches are not well protected.C.There are 89 million people in Florida at present.D.Its population has been increasing in recent years.DFor most kids, height isn’t something they can change, so what do you do if you don’t like how tall or short you are? It might be girls feeling too tall and boys feeling too short but some really tall boys might not like all that height and som e shorter girls might get tired of all the jokes or of feeling like they’re staying little while their friends are growing up.If you are still worried about your height, talk to your parents and your doctor. Most kids don’t have a growth problem that need s help from a doctor, but it’s always OK to ask if you’re concerned.So for most kids, it seems like there’s not much to do but wait to see how it all turns out. But you can do something right now: eat healthy and take care of yourself. If you get the nutrition(营养), sleep, and exercise you need, you’re likely to reach your maximum height. In other words, you’ll grow as tall as you were meant to grow.And even though you may hear people say it, taking extra vitamins or supplements(补品) that you can buy in a s tore won’t help you get taller. Just stick to a healthy diet if you want to be the tallest you can be!Kids who wish they weren’t so tall should still eat healthy and take care of themselves, of course. Eating less won’t make you end up any shorter unless you really starved yourself and made yourself sick.As they get older, most kids learn to feel comfortable with their height, whether they turn out tall, short, or somewhere in between.32. What is this text mainly about?A. Some tips on how to grow taller.B. Some advice on height worries.C. Some problems kids are facing.D. Some factors that affect height.33. If you want to grow taller, you are advised to do the following except _____.A. get enough sleepB. take some exerciseC. take extra vitaminsD. get enough nutrition34. We’ll feel comfortable with our height _____.A. after we tell the parentsB. after we see the doctorC. when we grow tallerD. when we get older35. Who does this text written for?A. Kids.B. Parents.C. Doctors.D. Teachers第二节(共5小题;每小题2分,满分10分)根据短文内容,从短文后的选项中选出能填入空白处的最佳选项。
北京市北京大学附属中学河南分校(宇华教育集团)2015-2016学年八年级12月月考物理试题解析(解析版)
北京大学附属中学河南分校(宇华教育集团)2015-2016学年八年级12月月考物理试题一、填空题(每空1分,共18分)1.如图所示,属于凸透镜的是;属于凹透镜的是。
2. 一个同学站在竖起放置的大平面镜前1m处,他在镜中的像高 1.6m,当他沿垂直镜面的方向后退1m 后,他在镜中的像高是 m,镜中的像与他之间的距离是 m。
【答案】1.6 4【解析】试题分析:平面镜成的是正立等大的虚像,像和物关于镜面对称。
当他沿垂直镜面的方向后退1m后,他在镜中的像高不变,是1.6m,镜中的像与他之间的距离是他离平面镜距离的二倍为(1m +1m)×2= 4m。
考点:平面镜成像3. 平面镜成像是光现象引起的:插在水中的筷子,看上去像向上弯折一样,这是光的现象引起的。
【答案】反射折射【解析】试题分析:平面镜成像的原理:物体射到平面镜上的光,经平面镜反射后的反射光线是发散的,这些光线的反向延长线相交而成的点,就是我们看到的像;插在水中的筷子,看上去像向上弯折一样,由于光的折射,光从水或其它介质斜射入空气中时,折射光线远离法线,折射角大于入射角,我们逆着折射光线的方向看到的就是水中的物体的虚像。
考点:光现象4. 能从不同的方向看到一些不发光的物体,是由于光发生了的缘故;黑板“反光”则是发生了。
(选填“镜面反射”或“漫反射”)【答案】漫反射镜面反射【解析】试题分析:(1)镜面反射是指平行光射到光滑的反射面上时,反射光仍然被平行的向某一个方向反射出去;(2)漫反射是指平行光射到粗糙的反射面上,反射光将沿各个方向反射出去;正是由于漫反射,我们才能从不同的方向看见本身不发光的物体。
考点:漫反射和镜面反射5. 站立在游泳池旁看到池内水的深度要比实际的深度一些,这是由于光从(选填“空气”或“水”)射向(选填“空气”或“水”)时,发生现象的缘故。
【答案】浅水空气光的折射【解析】试题分析:由于光的折射,光从水或其它介质斜射入空气中时,折射光线远离法线,折射角大于入射角,我们逆着折射光线的方向看到的就是水中的物体的虚像(是折射光线反向延长线的交点),虚像的位置比实际位置高些。
北京大学附属中学河南分校(宇华教育集团)2015-2016学
第Ⅰ卷(共60分)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.函数()2cos f x x x =的导数为( )A .()22cos sin f x x x x x '=-B .()22cos sin f x x x x x '=+C .()2cos 2sin f x x x x x '=-D .()2cos sin f x x x x x '=- 2.复数31ii--等于( ) A .12i + B .12i - C .2i + D .2i - 3.()12xex dx +⎰等于( )A .eB .1e -C .1D .1e +4.设()224ln f x x x x =--,则()0f x '>的解集为( )A .()0,+∞B .()()1,02,-⋃+∞C .()2,+∞D .()1,0-5.若复数()211z a a i =-+-是纯虚数,则z =( )A .1B .2C .3D .46.函数()f x 的导函数为()f x ',满足关系式()()232ln f x x xf x '=++,则()2f '的值等于( ) A .2 B .-2 C .94 D .94- 7.对于函数()323f x x x =-,给出下列四个命题: ①()f x 是增函数,无极值; ②()f x 是减函数,有极值;③()f x 在区间(],0-∞及[)2,+∞上是增函数;④()f x 有极大值为0,极小值-4;其中正确命题的个数为( ) A .1 B .2 C .3 D .48.二项式30的展开式的常数项为第( )项A .17B .18C .19D .209.9件产品中,有4件一等品,3件二等品,2件三等品,现在要从中抽出4件产品来检查,至少有两件一等品的种数是( )A .2245C CB .234444C C C ++ C .2245C C +D .223140454545C C C C C C ++ 10.从6名学生中,选出4个分别从事D A 、B 、C 、项不同的工作,若其中,甲、乙两人不能从事工作A ,则不同的选派方案共有( ) A .96种 B .180种 C .240种 D .280种 11.如图()y f x =的导函数的图象,现有四种说法: (1)()f x 在()3,1-上是增函数; (2)1x =-是()f x 的极小值点;(3)()f x 在()2,4上是减函数,在()1,2-上是增函数; (4)2x =是()f x 的极小值点;以上正确的序号为( )A .(1)(2)B .(2)(3)C .(3)(4)D .(4)12.函数()31f x x ax =-+在区间()1,+∞内是增函数,则实数a 的取值范围是( )A .3a ≤B .3a >C .3a <D .3a ≥二、填空题(共4题,每题5分,共20分,将答案填在答题纸上)13.若函数()33f x x x =-,则函数()f x 在[]0,2上的最小值为________.14.如图阴影部分是由21,y y x x==与直线2,0x y ==围成,则其面积为________.15.已知函数()32f x x ax bx c =+++在2x =-处取得极值,并且它的图象与直线33y x =-+在点()1,0处相切,则函数()f x 的表达式为________.16.观察下列等式332333233332123,1236,123410,+=++=+++=根据上述规律,第五个式子为________.三、解答题 (本大题共6小题,17题10分,其余为12分,共70分.解答应写出文字说明、证明过程或演算步骤.)17.(本题10分)计算曲线223y x x =-+与直线3y x =+所围图形的面积.18.(本题12分)已知复数()()222322,z m m m m i m R =+-++-∈根据下列条件,求m 值.(1)z 是实数;(2)z 是虚数;(3)z 是纯虚数;(4)0z =19.已知22nx ⎫⎪⎭的展开式中,第5项的系数与第3项的系数之比是56:3,求展开式中的常数项. 20.(本题12分)设()321f x x ax bx =+++的导函数()f x '满足()()2,2f x a f b ''==-,(1)求曲线()y f x =在点()()1,1f 处的切线方程;(2)设()()x g x f x e '=,求函数()g x 的单调区间. 21.(本题12分)函数()32f x ax bx cx =++的极小值为-8,其导函数的图象过点()22,0,,03⎛⎫- ⎪⎝⎭,如图所示:(1)求()f x 的解析式;(2)若对[]3,3x ∈-都有()214f x m m ≥-恒成立,求实数的m 取值范围.参考答案一、选择题 ACACB DBBDC BA 二、填空题 13. -2 14. 171215. ()3286f x x x x =+-+ 16. 333333212345621+++++= 三、解答题 17.【解析】由2323y x y x x =+⎧⎨=-+⎩解得03x x ==及.从而所求图形的面积()()()()()222323902S 3!23!323!31332x dx x x dxx x x dxx x dx x x ==+--+⎡⎤=+--+⎣⎦=-+⎛⎫-+ ⎪⎝⎭错误!错误错误错误18.(1) 12m m ==-或, (2) 12m m ≠≠-且 (3) 12m =(4) 2m =-19.由通项()442225610523n n C n C =⇒=-或舍去公式5105211010222rrr r r r r T CC X x --+⎛⎫== ⎪⎝⎭,当2r =时,取到常数项即3180T =,()442225610523n n C n C =⇒=-或舍去21.(1)由题意可知()()2020328f f f '⎧-=⎪⎪⎛⎫'=⎨ ⎪⎝⎭⎪⎪'-=-⎩,解得:1,2,4a b c =-=-=,∴()3224f x x x x =--+; (2)由(1)可知()()()2344232f x x x x x '=--+=--+, ∴()()23,2,3,3x f x ⎛⎫∈-- ⎪⎝⎭单调递减,()22,,3x f x ⎛⎫∈- ⎪⎝⎭单调递增,()()28,333f f -=-=-,∴[]()()3,3,333x fx f ∈-==-若对[]3,3x ∈-都 有()214f x m m ≥-成立, 即21433m m -≤-,解得:311m ≤≤ ∴m 的取值范围是[]3,1122.(1)()()()220,2ln ,10xa f x x x f x x x x-'==-=-=>, 在区间()0,2上,()0f x '>;在区间()2,+∞上()0f x '<, 故()f x 的单调递增区间是()0,2,单调递减区间是()2,+∞. (2)()()()2210f x ax a x x '=-++>,()()()()120ax x f x x x--'=> ①当0a =时,由(1)知()f x 在(]0,2上单调递增,故在(]0,2上()()max 22ln 22f x f ==-, ②当102a <≤时,12a≥,在区间()0,2上,()0f x '>;故()f x 在(]0,2上单调递增故在(]0,2上()()max 22ln222f x f a ==--, ③当12a >时,102a <<,在区间10,a ⎛⎫ ⎪⎝⎭上,()0f x '>;在区间1,2a ⎛⎫⎪⎝⎭上,()0f x '<,()f x 在10,a ⎛⎤ ⎥⎝⎦上单调递增,在1,2a ⎡⎤⎢⎥⎣⎦上单调递减.故在(]0,2上()max 1122ln 2f x f a a a ⎛⎫==--- ⎪⎝⎭.。
【精品】【全国百强校】北京大学附属中学河南分校(宇华教育集团)2015-2016学年高一(宏志班
北京大学附属中学河南分校(宇华教育集团)2015-2016学年高一(宏志班)下学期期中考试历史试题一、选择题:本大题共30小题,每小题2分,共60分,在每小题列出的四个选项中,只有一项是正确的,请将所选出的答案填在答题栏内。
1.史料记载“所种之地,惟以伐木,纵火焚烧,用竹锥成眼,点种苞谷”,这反映的耕作方式是()A.精耕细作B.刀耕火种C.使用青铜器D.铁犁牛耕2.下面的汉代画像石拓片和民间剪纸作品,形象地反映了中国古代()A.高度发达的商品经济B.男耕女织的自然经济C.封闭的地主庄园经济D.乡村生活的祥和富足3.中国古代每一个历史时期手工业发展的水平,常以某种手工业品为代表,下列搭配准确的是()A.商周一铁器B.秦汉一彩瓷C.唐宋一青铜器D.明清一棉布4.孔子在担任鲁国大司寇期间,大力打击市场上的假冒伪劣行为,羊贩子吴狱氏再也“不敢朝饮其羊”(早上卖羊前先让羊多喝水以增加重量)。
对此理解错误的是()A.孔子依靠法制维护市场秩序B.孔子关注民生,主张诚信C.孔子反对商业欺诈D.当时商品经济有一定发展5.斯塔夫里阿诺斯在《全球通史》中高度赞扬了我国宋朝时期的成就,“除了文化上的成就外,宋期时期值得注意的是,发生了一场名副其实的商业革命,对整个欧亚大陆有重大意义”。
这里的“商业革命”具体表现在()A.政府设有专门的管理机构B.“草市”作用显著,“夜市”比较繁荣C.都市、庙会、集会商业繁荣D.“市”突破了原先空间和时间上的限制6.明代内阁首辅张居正说:“商不得通有无以利农,则农病;农不得力本穑以资商,则商病。
故商农之势,常若权衡。
”这种农商并重的言论()A.反映了商品经济的发展B.表现了重农抑商政策的瓦解C.表明政府十分重视商业D.代表了士大夫对商业的态度7.如图是画家马塞斯在文艺复兴时期创作的名画《放贷者和他的妻子》。
这幅画反映的实质是()A.商品货币关系的发展B.人们价值观念的改变C.金银价格下降,物价上涨D.拜金主义泛滥8.《青年博览》2015年11月上半月刊有一段话:“是哥伦布,给美洲带来了今天的繁荣”。
北京大学附属中学河南分校(宇华教育集团)2015-2016学年高二下学期期中考试化学试题 含答案
说明:1、考试时间:90 分钟;本卷满分:1 0 0 分2、请将答案填写在答案卷上,考试结束后只交答案卷。
可能用到的相对原子质量:H 1 C 12 N 14 O 16 S 32 Cl35.5 Fe 56 Cu 64一、选择题(本题包括16小题,每小题3分,共48分,每小题只有一个选项符合题意)1.某有机物的结构简式为CH2=C(CH3)—COOH,它不能发生的反应是A.加成反应B.聚合反应C.酯化反应D.银镜反应2.下列有机物的命名下列的是A.1,2-二甲基戊烷B.2—乙基戊烷C.3,4—二甲基戊烷D.3—甲基己烷3.苯和甲苯相条件比较,下列叙述中不正确的是A.都属于芳香烃B.都能使酸性高锰酸钾溶液褪色C.都能在空气中燃烧D.都能发生取代反应4.下列有机物中属于醇的是A.B.C.D.CH3-O-CH35.乙醇分子结构中各种化学键如图所示,箭头指向为该键编号,关于乙醇在各种反应中断裂键的说法不正确的是A.和金属钠反应时键①断裂B.和浓H2SO4共热到170℃时键②和⑤断裂C.和浓H2SO4共热到140℃时仅有键②断裂D.在Ag催化下与O2反应时键①和③断裂6.下列物质能发生消去反应的是A.CH3Cl B.(CH3)3CCH2Cl C.D.7.下列不属于有机物的是A.CO B.CH4C.CH3CH3D.CH2=CH2 8.按官能团分类,下列说法正确的是A.属于芳香化合物B.属于羧酸C.属于醛类D.属于酚类9.下列关于有机物的说法错误的是A.CCl4可由CH4制得,可萃取碘水的是碘B.石油和天然气的主要成分都是碳氢化合物C.乙醇、乙酸和乙酸乙酯能用饱和Na2CO3溶液鉴别D.苯不能使KMnO4溶液褪色,因此苯不能发生氧化反应10.下列物质中不能发生银镜反应的是A.B.HCOOH C.HCOOC2H5 D.11.其中甲、乙、丁均能发生银镜反应,则乙为A.甲醇B.甲醛C.甲酸D.乙醛12.丁香油酚是一种有特殊香味的液体,它的结构简式如下图,则其不具有的性质是A.与金属钠反应B.与NaOH溶液反应C.与Na2CO3反应放出CO2D.能发生加聚反应13.由2—氯丙烷制取少量的1,2—丙二醇时,需要经过下列哪几步反应A.加成→消去→取代B.消去→加成→水解C.取代→消去→加成D.消去→加成→消去14.下列反应中属于加成反应的是A.乙炔通入酸性高锰酸钾溶液中,溶液褪色B.苯滴入溴水中,振荡后溴水层接近无色C.甲烷和氯气混合后,放置在光亮的地方,混合气体颜色逐渐变浅D.将乙烯气体通入溴水中,溴水褪色15.下列分子式只表示一种纯净物的是A.C2H6O B.C3H6C.C2H4 D.C5H1216.下列哪种物质可以鉴别乙醇和苯酚A.NaCl溶液B.NaHCO3溶液C.H2SO4溶液D.FeCl3溶液二、非选择题17.(6分)某烯烃与H2发生加成反应后得到的产物是CH3-CH(CH3),2(1)该产物的名称是_________________________;(2)原来烯烃的结构简式为_________________________;(3)写出原来的烯烃使溴的四氯化碳溶液褪色的化学反应方程式_________________________;18.(14分)某有机物A的结构简式为,试回答:(1)A分子中含有的官能团是______________、__________、_______、__________;(填名称)其中能发生银镜反应的官能团是__________(填名称)。
【全国百强校】北京大学附属中学河南分校(宇华教育集团)2015-2016学年高二3月月考语文试题(原卷版)
北京大学附属中学河南分校(宇华教育集团)2015-2016学年高二3月月考语文试题考试时间150 分钟满分150 分第I卷阅读题甲必考题一、现代文阅读(9分,每小题3分)阅读下面的文字,完成后面题目。
道德理想是指道德高于现实的未来性因素,包括以下内容:一定社会阶级及成员对未来社会道德关系和道德风尚的向往,一定社会阶级的道德体系的理想道德标准或称道德规范体系中较高的、还不能为当代社会大多数成员所奉行的要求。
道德理想内容的第一方面,涉及到了社会理想和道德理想的关系。
社会理想和道德理想有联系的一面。
社会理想主要是指一定阶级的政治理想,它包含着对社会制度和政治结构的性质、特征的要求和设想,广义上也包含着对即将到来的社会面貌的预见。
以恩格斯的观点来看,社会理想和道德理想本来就是一回事,道德理想是社会理想的、也是那些与历史发展的根本要求相一致的未来社会观念的一个不可分割的方面。
这也就是说,社会理想和道德理想必然有部分重合。
比如,忠诚于共产主义事业,为在全世界实现共产主义的社会制度而奋斗,就不仅是共产主义的社会理想,而且是共产主义的道德理想。
当然,社会理想与道德理想之间也还存在着差异。
其一是从内容上看,它们的着重点不同。
如果说社会理想更加注重勾画未来社会的经济、政治制度的话,道德理想则注重勾画未来社会人与人之间的道德关系和道德风尚。
其二,一定的社会政治理想最初往往是以道德理想的形式表现出来的,并不是一下子就成为对社会历史发展规律认识得很清楚的科学理想的。
在一种社会理想形成的过程中,人们对社会制度未来的轮廓构想首先表现为一种道德预测或道德理想。
虽然就准确性、严谨性、论证性而言,道德预测或道德理想不能和科学的社会理想相比,但它能动员广大群众主动热情地投入到变革社会的进步活动中。
比如,社会主义理想就首先在空想社会主义者那里以道德预测和理想的形式得到了首次表现。
作为精神力量,它对当时人民群众和早期无产阶级自发斗争起了感奋作用,给社会的发展从道德上指明了方向,从而使它自己成了科学社会主义理想的直接源泉。
【全国百强校】北京大学附属中学河南分校(宇华教育集团)2015-2016学年高一(宏志班)上学期
一.单选题(在每小题给出的四个选项中,只有一项是符合题目要求的.本题共30道小题,每小题2分,共60分)1.下列有关对生命系统的叙述中,正确的是A.生命系统的每个层次都是“系统”,能完整表现生命活动的最基本的“生命系统”是“细胞”B.蛋白质和核酸等生命大分子本身也可算作“系统”,也属于“生命系统”的层次C.“生态系统”是生命系统的一个层次,它代表一定自然区域相互间有直接或间接联系的所有生物D.生物个体中由功能相关的“器官”联合组成的“系统”层次,是每种生物个体都具备的【答案】A【考点定位】生命系统结构层次【名师点睛】生命系统的结构层次:细胞→组织→器官→系统→个体→种群→群落→生态系统→生物圈.其中细胞是最基本的生命系统结构层次,生物圈是最大的结构层次。
2. 下列关于生物体内化合物的说法正确的是A.氨基酸脱水缩合产生水,水中的氢都来自氨基B.N是组成细胞内各种有机物的必需元素C.所有细胞中都含有蛋白质和磷脂D.细胞核内的核酸只含脱氧核糖,细胞质中的核酸只含核糖【答案】C【解析】氨基酸脱水缩合产生水,水中的氢来自氨基和羧基,A错误;N是组成细胞内多种有机物的必需元素,但糖类、脂肪等有机物不含N元素,B错误;所有细胞中都含有蛋白质和磷脂,所有细胞都有细胞膜,细胞膜的主要成分是磷脂和蛋白质,C正确;细胞核与细胞质都是既含有DNA又含有RNA,DNA主要分布在细胞核,RNA主要分布在细胞质,D错误。
【考点定位】细胞中的化合物3. 蛇体内有S种蛋白质,20种氨基酸。
鼠体内有T种蛋白质,20种氨基酸。
蛇捕食鼠之后,蛇体内一个细胞内含有的蛋白质种类、核酸种类及氨基酸种类最可能是A.S,1,20 B.S+T,1,20C.S+T,2,40 D.少于S,2,20【答案】D【解析】因为执行的功能不同,不同细胞内分布的蛋白质会有所不同,所以蛇体内一个细胞内含有的蛋白质种类会少于S,细胞内都有两种核酸,氨基酸种类最多有20种,所以选D。
【全国百强校】北京大学附属中学河南分校(宇华教育集团)2015-2016学年高二12月月考化学试题(原卷版)
北京大学附属中学河南分校(宇华教育集团)2015-2016学年高二12月月考化学试题考试时间 90 分钟 满分 100 分一.选择题(每题只有一个正确答案,每题3分,共48分)1.下列说法正确的是( )A .1 mol H 2SO 4与1 mol Ba(OH)2完全中和所放出的热量为中和热B .强酸和强碱的稀溶液发生中和反应一定是放热反应,弱酸和弱碱反应一定也是放热反应C .CO 是不稳定的氧化物,它能继续和氧气反应生成稳定的CO 2,故反应一定是吸热反应D .酸和碱发生中和反应生成1 mol 水,这时的反应热叫中和热2、已知下列热化学方程式:Zn(s)+21O 2(g)=ZnO(s) △H =-351.1kJ·mol -1 ,Hg(l)+21O 2(g)=HgO(s) △H =-90.7 kJ·mol-1 由此可知反应Zn(s)+HgO(s)=ZnO(s)+Hg(l)的焓变为( ) A 、-260.4 kJ·mol -1 B 、-441.8 kJ·mol -1 C 、260.4 kJ·mol -1 D 、 441.8 kJ·mol -1 3.关于原电池和电解池的叙述正确的是( )A .原电池中失去电子的电极为阴极B .原电池的负极、电解池的阳极都发生氧化反应C .原电池的两极一定是由活动性不同的两种金属组成D .电解时电解池的阴极一定是阴离子放电4. 将纯锌片和纯铜片按图示方式插入同浓度的稀硫酸中一段时间,以下叙述正确的是( )A .两烧杯中铜片表面均无气泡产生B .甲中铜片是正极,乙中铜片是负极C .两烧杯中溶液的pH 均增大D .产生气泡的速度甲比乙慢5.用惰性电极电解CuCl 2溶液时,如果阴极上有6.4g 铜析出,则阳极上产生气体的体积(标准状况)约为( )A. 2.24LB. 0.56LC. 0.14LD. 1.12L6.有一处于平衡状态的反应A(g) + 3B(g)2C(g);△H< 0,为了使平衡向生成C 的方向移动,应选择的条件是()A 高温低压B 低温低压C 低温高压D 高温高压7.一定温度下,满足下列条件的溶液一定呈酸性的是()A.能与金属Al反应放出H2的溶液B.加酚酞后显无色的溶液C.pH=6的某溶液D.c(H+)>c(OH﹣)的任意水溶液8.物质的量浓度相同的下列溶液中,NH4+浓度最大的是()A.NH4Cl B.N H4HSO4C.C H3COONH4D.NH3•H2O9.下列说法中正确的是()A.在化学反应过程中,发生物质变化的同时不一定发生能量变化B.生成物全部化学键形成时所释放的能量大于破坏反应物全部化学键所吸收的能量时,反应为吸热反应C.反应产物的总焓大于反应物的总焓时,反应吸热,ΔH>0D.ΔH的大小与热化学方程式的计量系数无关10.下列用来表示物质变化的化学用语中,正确的是()A.钢铁发生电化学腐蚀的正极反应式:Fe﹣2e﹣=Fe2+B.HS﹣的水解方程式:HS﹣+H2O S2﹣+H3O+C.CO32﹣的水解方程式:CO32﹣+H2O HCO3﹣+OH﹣D.AlCl3溶液与Na2CO3溶液混合:2Al3++3CO32﹣=Al2(CO3)3↓11.在2A(g)+B(g)=3C(g)+4D(g)中,表示该反应速率最快的是()A.v(A)=0.5mol•L﹣1.mim﹣1B.v(B)=0.3mol•L﹣1.mim﹣1C.v(C)=0.8mol•L﹣1.mim﹣1D.v(D)=1.0mol•L﹣1.mim﹣112.已知反应2A(g)=2B(g)+C(g)△H<0,达平衡时,要使c(A)增大同时使v(正)增大,应改变的条件为()A.减小容器容积B.增大容器容积C.减小B的浓度D.降温13.可以证明可逆反应N2+3H22NH3已达到平衡状态的是()①一个N≡N键断裂的同时,有6个N﹣H键断裂②v(H2)=0.6mol•L﹣1•min﹣1,v(NH3)=0.4mol•L﹣1•min﹣1③保持其他条件不变时,体系压强不再改变;④NH3、N2、H2的体积分数都不再改变;⑤恒温恒容时,混合气体质量保持不变。
北京大学附属中学河南分校(宇华教育集团)2015-2016学年高一下学期期末考试数学试题
宇华教育集团北大附中河南分校2015-2016(下)期末高一数学试卷考试时间120分钟 满分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.)1.已知命题p :∀x ∈R ,x >sin x ,则p 的否定形式为( )A .¬p :∃x 0∈R ,x 0≤sin x 0B .¬p :∀x ∈R ,x ≤sin xC .¬p :∃x 0∈R ,x 0<sin x 0D .¬p :∀x ∈R ,x <sin x2.等差数列{a n }的前n 项和为S n ,若a 2+a 6+a 7=18,则S 9的值是( )A .64B .72C .54D .823.设函数f (x )=x m+ax 的导函数f ′(x )=2x +1,则数列{1()f n }(n ∈N *)的前n 项和是( ) A.nn +1 B.n +2n +1 C.n n -1 D.n +1n4.由曲线y =x 2,y =x 3围成的封闭图形面积为( )A.112 B.14 C.13 D.7125.在ABC ∆中,角,,A B C 所对边长分别为,,a b c ,若2222a b c +=,则cos C 的最小值为( )A .2B .2C .12D .12-6.已知实数对(x ,y )满足⎩⎪⎨⎪⎧x ≤2,y ≥1,x -y ≥0,则2x +y 取最小值时的最优解是( )A .6B .3C .(2,2)D .(1,1)7.已知空间四边形ABCD 中,M 、G 分别为BC 、CD 的中点,则AB →+12(BD →+BC →)等于( )A.AG →B.CG →C.BC →D.12BC →8.已知点M (3,0)椭圆x 24+y 2=1与直线y =k (x +3)交于点A 、B ,则△ABM 的周长为( )A .4B .8C .12D .169.对于函数f (x ),在使f (x )≤M 恒成立的所有常数M 中,我们把M 中的最小值称为函数f (x )的“上确界”.已知函数f (x )=x 2+2x +1x 2+1+a (x ∈)是奇函数,则f (x )的上确界为( )A .2 B.95 C .1 D.4510.在数列{a n }中a n ≠0,a 1,a 2,a 3成等差数列,a 2,a 3,a 4成等比数列,a 3,a 4,a 5的倒数成等差数列,则a 1,a 3,a 5( )A .是等差数列B .是等比数列C .三个数的倒数成等差数列D .三个数的平方成等差数列11.已知F 1、F 2分别是双曲线x 2a 2-y 2b2=1(a >0,b >0)的左、右焦点,以坐标原点O 为圆心,OF 1为半径的圆与双曲线在第一象限的交点为P ,则当△PF 1F 2的面积等于a 2时,双曲线的离心率为( )A. 2B. 3C.62D .212.设直线x =t 与函数f (x )=x 2,g (x )=ln x 的图像分别交于点M ,N ,则当|MN |达到最小时t 的值为( )A .1 B.12 C.52 D.22二、填空题:请把答案填在题中横线上(本大题共4个小题,每小题5分,共20分).13.已知0t >,则函数241t t y t-+=的最小值为 .14.若A 、B 是锐角△ABC 的两个内角,则点P (cos B -sin A ,sin B -cos A )在第 象限. 15.设{a n }是正项等比数列,令S n =lg a 1+lg a 2+…+lg a n ,n ∈N +,如果存在互异正整数m ,n ,使S n =S m ,则S m +n = .16.已知以F 为焦点的抛物线y 2=4x 上的两点A 、B 满足AF →=3FB →,则弦AB 的中点到准线的距离为 .三、解答题(本大题共6小题,共70分,17题10分,18~22题,每题12分.解答应写出文字说明,证明过程或演算步骤.) 17(本小题10分)已知命题p :⎩⎪⎨⎪⎧x +2≥0,x -10≤0,命题q :1-m ≤x ≤1+m ,m >0,若¬p 是¬q 的必要不充分条件,求实数m 的取值范围.18(本小题12分)在△ABC 中,角A ,B ,C 所对的边分别为a ,b ,c ,已知cos2C =-14.(1)求sin C 的值;(2)当a =2,2sin A =sin C 时,求b 及c 的长.19.(本小题12分)如图,在五面体ABCDEF 中,FA ⊥平面ABCD, AD//BC//FE , AB ⊥AD ,M 为EC 的中点,AF=AB=BC=FE=12AD (1) 求异面直线BF 与DE 所成的角的大小; (2) 证明平面AMD ⊥平面CDE ; (3)求二面角A-CD-E 的余弦值.20.(本小题12分)数列{a n }满足a 1=1,a n +1=2n +1a na n +2n(n ∈N +).(1)证明:数列{2na n}是等差数列;(2)求数列{a n }的通项公式a n ;(3)设b n =n (n +1)a n ,求数列{b n }的前n 项和S n .21.(本小题12分)已知双曲线x 2a 2-y 2b 2=1(a >0,b >0)的离心率e =233,直线l 过A (a,0),B (0,-b )两点,原点O 到直线l 的距离是32. (1)求双曲线的方程;(2)过点B 作直线m 交双曲线于M 、N 两点,若OM →²ON →=-23,求直线m 的方程.22.(本小分12分)设函数21()ln (,,0),1()2f x c x x bx b c R c x f x =++∈≠=且为的极值点. (1)若函数()2f x x =在的切线平行于340,()x y f x -+=求函数的解析式; (2)若()0f x =恰有两解,求实数c 的取值范围.宇华教育集团2015-2016(下)期末高一数学答案1-12.ACAAC,DABCB,AD13. -2 14. 二 15. 0 16. 8317.(本小题10分)解析:p :x ∈,q :x ∈,m >0, ∵¬p 是¬q 的必要不充分条件,∴p ⇒q 且q ⇒/ p . ∴⊆ .∴⎩⎪⎨⎪⎧m >0,1-m ≤-2,1+m ≥10.∴m ≥9.18.(本小题10分)解:(1)因为cos2C =1-2sin 2C =-14及0<C <π,所以sin C =104. (2)当a =2,2sin A =sin C 时,由正弦定理a sin A =csin C ,得c =4.由cos2C =2cos 2C -1=-14及0<C <π,得cos C =±64.由余弦定理c 2=a 2+b 2-2ab cos C , 得b 2±6b -12=0.解得b =6或26,所以⎩⎨⎧b =6,c =4或⎩⎨⎧b =26,c =4.19(本小题12分)方法一:(1)解:由题设知,BF//CE ,所以∠CED (或其补角)为异面直线BF 与DE 所成的角。
【全国百强校】北京大学附属中学河南分校(宇华教育集团)2015-2016学年高一12月月考英语试
第一部分阅读理解(共两节,满分40)第一节(共15小题,每小题2分,满分30分)ALast Friday a storm swept through two villages in the New Territories,destroying fourteen homes. Seven others were so badly damaged that their owners had to leave them,and fifteen others had broken windows or broken roofs. One person was killed,several were badly hurt and taken to hospital,and a number of other people received smaller hurt. Altogether over two hundred people were homeless after the storm.A farmer,Mr. Tan,said that the storm began early in the morning and lasted for over an hour.“I was eating with my wife and children,”he said,“When we heard a loud noise. A few minutes later our house fell down on top of us. We tried our best to climb out but then I saw that one of my children was missing. I went back inside and found him,safe but very frightened.”Mrs. Woo Mei Fong said that her husband had just left for work when she felt that her house was moving. She ran outside at once with her children.“There was no time to take anything,”she said,“A few minutes later,the roof came down.”Soldiers helped to take people out of the flooded area and the welfare department (福利机构)brought them food,clothes and shelter.21. How many homes altogether were damaged in the storm?A. FourteenB. Twenty-oneC. Twenty-nineD. Thirty-six22. Where was Mr. Tan when the storm first began?A. He was in bed.B. He was inside the house.C. He was outside the house.D. He was on the roof.23. The underlined word “shelter” in thi s passage means ______.A. something to eatB. something to wearC. somewhere to studyD. somewhere to stay24. Which of he following may be the best title for this passage?A. A Terrible StormB. A Lucky WomanC. Good SoldiersD. Clever People【答案】21.D22.B23.D24.A23.D词义猜测题。
【全国百强校】北京大学附属中学河南分校(宇华教育集团)2015-2016学年高二12月月考英语试
考试时间90 分钟满分120 分第二部分: 阅读理解(共两节;满分40分)第一节(共15小题,每小题2分,满分30分)AFrank Woolworth was born in Rodman, New York., in 1852. His family were very poor farmers, and there was never enough to eat. Frank decided he did not want to be farmer. He took a short business course, and went to work as a salesman in a large city.Woolworth realized he had a natural skill for showing goods to attract people’s interest, but he soon learned something more important. One day his boss told him to sell some odds and ends (小商品) for as much as he could get. Frank put all these things on one table with a sign which said FIVE CENTS EACH. People fought and pushed to buy the things and the table was soon cleared.Soon afterwards, Woolworth opened his own store., selling goods at five and ten cents. But he had another lesson to learn before he became successful. That is, if you want to make money by selling low-price goods, you have to buy them in large quantities directly from the factories. Once, for example, Woolworth went to Germany and placed an order for knives. The order was so large that the factory had to keep running 24 hours a day for a whole year. In this way, the price of the knives was cut down by half.By 1919, Woolworth had over 1000 stores in the US and Canada, and opened his first store in London. He made many millions and his name became famous throughout the world. He always run his business according to strict rules, of which the most important was: “ THE CUSTOMER IS ALWAYS RIGHT.”21. Frank took a short business course in order to ____________.A. earn more money for his familyB. learn something from a salesmanC. get away from the farmD. get enough to eat.22. Frank sold the odds and ends quickly because _____________.A. he knew how to get people to buy his goods.B. he cut down the price by halfC. he had put the goods on a table in a very nice way.D. the sign he put on the table was well designed.23. The price of the knives was cut down by half because ______________.A. the factory workers worked 24 hours a day.B. knives were ordered in large quantities directly from the factory.C. the knives were made in Germany, where labour (劳动力) was cheap.D. the knives were produced in one factory.24. _____________ make Woolworth a world-famous man.A. His business skills and his wealth.B. The low price of the goods he sold.C. His trip to Germany and his huge order of knives.D. His natural skill for showing things.【答案】21.C22.A23.B24.A24.A细节理解题。
北京大学附属中学河南分校(宇华教育集团)2015-2016学年七年级12月月考英语试题解析(解析版)
(时间:80分钟满分:100分)一、单项选择(每小题1分,共15分)1.Are you good at playing _______ guitar or _______ basketball?A. the, theB. the, aC. / , theD. the, /【答案】D考点:考查冠词的用法。
2.He can swim very well, ______ he doe sn’t want to join the club.A.andB. butC. /D. or【答案】B【解析】试题分析:句意:他游泳非常好,但是他不想加入俱乐部。
and而且,表示递进关系;but但是,表示转折关系;or或者,表示选择关系。
结合句意,前半句表示他会游泳,后半句表示不想加入俱乐部,前后表示转折关系,故用连词but。
故选B。
考点:考查连词的用法。
3.---Are you good _____children?---Yes , I think I can help them ______ English.A.with , inB. with , withC. at , withD. at , in【答案】B【解析】试题分析:句意:——你和孩子相处得好吗?——好,我认为我可以帮助他们学习英语。
be good at“擅长”;be good with“和……相处的好”;结合句意,此处表示和孩子相处得好,故用短语be good with。
help sb with sth“帮助某人做某事”;故选B。
考点:考查介词的用法。
4. —_______ do you eat breakfast?—At seven-thirty.A. WhatB. What timeC. WhereD. why【答案】B考点:考查疑问词的用法。
5.Tom often eats _____ good breakfast ____ the morning.A. a,atB. a , inC. / , inD. / , on【答案】B【解析】试题分析:句意:汤姆经常在早上吃很好的早饭。
【全国百强校】北京大学附属中学河南分校(宇华教育集团)2015-2016学年高一3月月考数学试题(原卷版)
北京大学附属中学河南分校(宇华教育集团)2015-2016学年高一3月月考数学试题一.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}032|{2≤--=x x x A ,},|{2R x x y y B ∈==,则=B A ( )A .φB .[0,1]C .[0,3]D .),1[+∞-2.下列四个图各反映了两个变量的某种关系,其中可以看作具有较强线性相关关系的是( )A .①③B .①④C .②③D .①②3.已知直线l , m ,平面βα,,下列命题正确的是( )A .l //β, l ⊂α⇒α//βB .l //β, m //β, l ⊂α, m ⊂α⇒α//βC .l //m , l ⊂α, m ⊂β⇒α//βD .l //β, m //β, l ⊂α, m ⊂α, l ⋂m =M ⇒α//β 4.在等差数列{a n }中,已知a 1+a 2=4,a 2+a 3=8,则a 7等于( )A .7B .10C .13D .195. 一个正三棱柱的主(正)视图是长为3,宽为2的矩形, 则它的外接球的表面积等于A.π16B.π12C.π8D.π46.已知点A(2, 3),B(-3, -2),若直线l 过点P(1, 1)且与线段AB 相交,则直线l 的斜率k 的取值范围是 ( )A .k ≥2或k ≤43B .43≤k ≤2C .k ≥43D .k ≤27.平行四边形ABCD 中,AB=4,AD=2,4AB AD =,点P 在边CD 上,则⋅的取值范围是( )A .[1,8]-B .[1,)-+∞C .[0,8]D .[1,0]-8.在等比数列{a n }中,若a 1+a 2+…+a n =2n-1,则a 21+a 22+…+a 2n =( ) A .(2n -1)2 B .31(4n -1) C .31(2n -1) D .4n-1 9.在△ABC 中,a =2bcos C ,则这个三角形一定是( )A .等腰三角形B .直角三角形C .等腰直角三角形D .等腰三角形或直角三角形10.方程(x +y -1)422-+y x =0所表示的曲线是( )A B C D11. 已知函数()sin()(0,||)2f x x πωϕωϕ=+><,其图象相邻两条对称轴之间的距离为2π,且函数()12f x π+是偶函数.下列判断正确的是( )A .函数()f x 的最小正周期为2πB .函数()f x 的图象关于点7(,0)12π对称 C .函数()f x 的图象关于直线712x π=-对称 D .函数()f x 在3[,]4ππ上单调递增 12.直线ax +by =1与圆2214x y +=相交于不同的A ,B 两点(其中a ,b 是实数),且OB OA ∙>0(O 是 坐标原点),则22a b +-2a 的取值范围为( )A .(1,9+)B .(0,8+)C .(1,1+D .(4,8) 第Ⅱ卷(非选择题共90分)二.填空题(本大题共4小题,每题5分,满分20分.)13. 某校现有高一学生210人,高二学生270人,高三学生300人,用分层抽样的方法从这三个年级的学 生中随机抽取n 名学生进行问卷调查,如果已知从高一学生中抽取的人数为7,那么从高二学生中抽取的 人数为 .14. 从1,2,3,4这四个数中一次随机选取两个数,所取两个数之和为5的概率是 .15. 如图所示,正三棱锥S -ABC 中,侧棱与底面边长相等,若E .F 分别为SC .AB 的中点,则异面直线EF 与SA 所成的角等于 .16. 已知576*,)}({S S S n N n a d S n n >>∈且项和的前的等差数列是公差为,则下列四个命题: ①0<d ;②011>S ;③012<S ;④013>S 中为真命题的序号为 .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.(10分)记等差数列{}n a 的前n 项和为n S ,已知2446,10a a S +==.(Ⅰ)求数列{}n a 的通项公式;(Ⅱ)令2n n n b a =⋅*(N )n ∈,求数列{}n b 的前n 项和n T .18.(12分)在△ABC 中,已知AB=2,AC=3,A=60°.(1)求BC 的长;(2)求sin 2C 的值.19.(12分)如图所示,三棱柱ABC -A 1B 1C 1中,CA=CB , AB=AA 1,∠BAA 1=60°.(1)证明:AB⊥A 1C ;(2)若AB=CB=2,A 1C=6,求三棱柱ABC -A 1B 1C 1的体积.20.(12分)设△ABC 的内角A .B .C 所对的边为a .b .c ,且满足C A C A A B sin cos cos sin cos sin 2+=.(1)求角A 的大小;(2)若1,2==c b ,D 为BC 的中点,求AD 的长.21.(12分)已知数列{a n }的前n 项和为S n ,a 1=2,S n =32+n a n (n ∈N *). (1)求数列{a n }的通项公式;(2)求数列⎭⎬⎫⎩⎨⎧n a 1的前n 项和T n . 22.(12分)圆C 的半径为3,圆心在直线2x +y =0上且在x 轴下方,x 轴被圆C 截得的弦长为25.(1)求圆C 的方程;(2)是否存在斜率为1的直线l ,使得以l 被圆截得的弦为直径的圆过原点?若存在,求出直线l 的方程; 若不存在,说明理由.:。
北京大学附属中学河南分校(宇华教育集团)2015-2016学年七年级12月月考政治试题(解析版)
考试时间:60分钟满分:70分一、请你选择▲单项选择题(4小题,每题2分,共8分。
下列每小题的四个选项中,只有一项是最符合题意的,请将所选项字母填入题后括号)1、下列属于自尊表现的是()A.李明上课照镜子,受到老师的批评B.李永穿奇装异服,以引起同学的关注C.张佳对人有礼貌,赢得同学的称赞D.段林在同学发言时起哄,令同学厌烦【答案】C【解析】试题分析:此题旨在考查学生对自尊的认识,主要考查学生是对知识的理解运用,自尊就是自己尊重自己,决不允许他人歧视、侮辱的心理,其中A是不遵守课堂纪律的表现,是错误的;B违反了中学生日常行为规范,是错误的;D是不尊重他人,对他人不礼貌的表现,是错误的,C是自尊的表现,所以正确答案选C考点:自尊2、在日常生活中,尊重他人最基本的表现是()A.善于容忍别人的一切错误B.对人有礼貌,尊重他人劳动,尊重他人人格C.善于欣赏、接纳他人D.不做有损他人人格的事情【答案】B【解析】试题分析:此题旨在考查学生对尊重他人的表现的认识,主要考查学生对知识的识记,根据教材知识,尊重他人最基本的表现是对人有礼貌,尊重他人劳动,尊重他人人格。
其中A观点错误;CD不符合题意,正确答案选B考点:尊重他人最基本的表现3、历史告诉我们,没有国家、民族的尊严,就不会有个人的尊严。
因此,我们不但要维护个人的尊严,还要维护国家和民族的尊严。
下列做法不属于维护民族尊严的是()A.当祖国日益走向繁荣时,感到由衷的自豪B.当祖国面临困境时,挺身而出C.当民族遭受其他民族污蔑时,不闻不问D.当自己能够为祖国争光时,倍感光荣【答案】C考点:维护民族尊严4、要树立和培养自尊和自信,就要寻找个人自尊自信的支点。
这里说的支点是()A.事物的支撑点B.自己的弱点、不足C.找到正确的参考标准D.自己突出的优势和长处【答案】D【解析】试题分析:此题旨在考察学生对自尊自信的认识,主要考查学生是对知识的理解识记,根据教材知识,发现自己的长处和优势,是自尊和自信的支点,所以正确答案选D考点:自尊自信▲多项选择题(4小题,每题3分,共12分。
【百强校】2015-2016学年北大附中河南分校高一上学期期末语文试卷(带解析)
绝密★启用前【百强校】2015-2016学年北大附中河南分校高一上学期期末语文试卷(带解析)试卷副标题考试范围:xxx ;考试时间:116分钟;命题人:xxx学校:___________姓名:___________班级:___________考号:___________注意事项.1.答题前填写好自己的姓名、班级、考号等信息 2.请将答案正确填写在答题卡上第I 卷(选择题)一、选择题(题型注释)1、依次填入下面一段文字横线处的语句,衔接最恰当的一组是( )物的崇拜从来是与富贵、炫耀和时尚密切关联的。
_______。
_______。
_______;_______。
_______。
_______。
人们寻找追求时尚的动机又是顽强的,所以常常会有丑的时尚的问世。
①人们只好再吹一个,正像时尚破灭后,大家寻找新的时尚②它极像不断吹出的肥皂泡:一个商品开始吸引越来越多的人,如同一个肥皂泡 被吹起,当拥有该物品的人太多之时,它就不成其为时尚,如同一个肥皂泡太大而破灭 ③时尚能兼备美与稀缺当然好,但时尚是不断更新的东西,哪里能永远找到这样的组合 ④大家都拥有此物,它就不再是富贵的象征,不可以用来炫耀了⑤人们追求时尚的本质是显示个性、吸引眼球的心理需求。
在美与稀缺二者中,稀缺更重要,泛滥最要不得⑥时尚的性质在于,一方面,它被人们追求;另一方面,不可以席卷过多的人试卷第2页,共12页A .④③⑥②①⑤B .⑤③⑥④②①C .④⑥②①⑤③D .⑥③④②①⑤2、下列句子中,没有语病的一项是( )A .调查结果显示,“看病难、物价涨、房价高”的民生问题,已连续三年成为专家提意见最多的焦点问题。
B .碱性的钙剂可以起到中和胃酸的作用,在餐后服用,能够减少胃酸对胃黏膜的刺激。
因此建议大家补钙最好每天少量多次效果最好。
C .湖南卫视明星亲子互动节目《爸爸去哪儿》自开播以来,众多粉丝除了关注五对父子的一举一动,也为节目组设置任务出谋划策。
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宇华教育集团北大附中河南分校2015-2016(下)期末高一英语试卷考试时间90分钟满分120分注意:本试卷包含Ⅰ、Ⅱ两卷。
第Ⅰ卷为选择题,所有答案必须用2B铅笔涂在答题卡中相应的位置。
第Ⅱ卷为非选择题,所有答案必须填在答题卷的相应位置。
答案写在试卷上均无效,不予记分满分70分)第二部分阅读理解(共两节,满分40分)第一节(共15小题;每小题2分,满分30分)阅读下列短文,从每题所给的四个选项(A、B、C和D)中,选出最佳选项。
AThe sun is shining when I get on No. 151 bus. We passengers sit jammed together in heavy clothes. No one speaks. That’s one of the unwritten rules of Chicago commuting. Although we see the same faces every day, we prefer to hide behind our newspapers. The phenomenon is striking: people who sit so close together are using those thin sheets of newsprint to keep their distance.As the bus approaches the Magnificent Mile, a voice suddenly rings out: “Attention! Attention!” Papers rattle (发出细小声). Necks crane (伸长). “This is your driver speaking.”We look at the back of the driver’s head. His voice has authority.“All of you put your papers down.”The papers come down, an inch at a time. The driver waits. The papers are folded and placed on our laps.“Now, turn and face the person next to you.Go ahead.”Amazingly, we all do it. Still, no one smiles.I face an older woman, her head wrapped tightly in a red scarf. I see her nearly every day. Our eyes meet. We wait, unblinking, for the next order from the driver.“Now, repeat after me…” It is a command, delivered in the tones of a drill sergeant (操练军士). “Good morning, neighbor!”Our voices are weak and timid. For many of us, these are the first words we have spoken today. But we say them at the same time, like schoolchildren, to the strangers beside us.We smile and can’t help it. We have said it; the barrier has been broken. Good morning, neighbor. It is not so hard after all. Some of us repeat it. Others shake hands. Many laugh.The bus driver says nothing more. He doesn’t need to. Not a single newspaper goes back up. I hear laughter, a warm sound I have never heard before on bus No. 151. This day is starting off better than most.21. On hearing the sudden utterance of “Attention!”, the passengers ___________.A. stopped reading and put down their newspapers immediatelyB. looked up from the newspapers to see who was speakingC. sat still without responseD. were frightened22. The underlined word “commuting” in Paragraph 1 most probably means ___________.A. daily traveling between home and workB. long-distance rideC. communication technologyD. behavior patterns23. Which of the following is true according to the passage?A. The passengers on the crowded bus were so absorbed in reading their newspapers that no one spoke.B. The passengers were physically close together but mentally they kept each other at a terrible distance.C. The passengers didn’t follow the driver’s instruction at first.D. When the bus driver said nothing more, the passengers picked up and read their newspapers again.24. What would be the best title for the text?A. The Warmth of CommunicationB. The Exchange of InformationC. The Power of ObservationD. The Attitude to LonelinessBDo you find getting up in the morning so difficult that it’s painful? This might be called laziness, but Dr. Kleitman has a new explanation. He has proved that everyone has a daily energy cycle.During the hours when you labor through your work you may say t hat you’re “hot”. That’s true. The time of day when you feel the most energetic is when your cycle of body temperature is at its peak. For some people the peak comes during the forenoon. For others it comes in the afternoon or evening. No one has discovered why this is so, but it leads to such familiar monologues (自言自语) as John talks to himself: “Get up, John! You’ll be late for work again!” The possible explanation for the trouble is that John is at his temperature-and-energy peak in the evening. Much family quarrelling ends when husbands and wives realize what these energy cycles mean, and which cycle each member of the family has.You can’t change your energy cycle, but you can learn to make your life fit it better. Habit can help, Dr. Kleitman believes. Maybe you’re sleepy in the evening but feel you must stay up late anyway. Adjust your cycle to some extent by staying up later than you want to. If your energy is low in the morning but you have an important job to do early in the day, rise before your usu al hour. This won’t change your cycle, but you’ll get up steam (打起精神) and work better at your low point.Begin with a slow start which saves your energy. Get up with a slow yawn and stretch. Sit on the edge of the bed a minute before putting your feet on the floor. Avoid the troublesome search for clean clothes by laying them out the night before. Whenever possible, do usual work in the afternoon and spend time doing important work for your high peak hours.25. According to Dr. Kleitman if you don’t want to get up in the morning ____________.A. you must be a lazy personB. you must catch a coldC. your energy cycle must be lowD. you should stay in bed26. Which of the following may lead to family quarrels according to the passage?A. A change i n a family member’s energy cycle.B. Familiar monologues.C. Unawareness of energy cycles.D. Attempts to control the energy cycle of other family members.27. If one wants to work better at his low point in the morning, he should ____________.A. change his energy cycleB. go to bed earlierC. overcome his lazinessD. get up earlier than usual28. You are advised to rise with a yawn and stretch because it will _________________.A. help you to control your temper early in the dayB. he lp to keep your energy for the day’s workC. enable you to concentrate on your routine workD. keep your energy cycle under control all dayCAny discussion of English conversation, like any English conversation, must begin with〝The Weather〞. And in this spirit of observing traditional rule, I shall quote Dr Johnson’ s famous comment that “When two English meet, their first talk is of the weather”, and point out that this observation is as accurate now as it was over two hundred years ago.This, however, is the point at which most people either stop, or try, and fail, to come up with a convincing explanation for the English “ addiction”to the weather. They fail because their premise (前提) is mistaken: they assume that our conversations about the weather are conversations about the weather. In other words, they assume that we talk about the weather because we have a keen interest in the subject. Most of them then try to figure out what it is about the English weather that is so fascinating.Bill Bryson, for example, concludes that the English weather is not at all fascinating, and that our “addiction” to it is therefore very difficult to explain : “To an outsider, the most striking thing about the English weather is that there is not very much of it. A1l those phenomena that elsewhere give nature an edge of excitement, unpredictability and danger—tornados, monsoons, hailstorms—are almost wholly unknown in the British I sles.”Jeremy Paxman takes offence at Bryson’ s comments and argues that the English weather is truly fascinating:Bryson misses the point . The interest is less in the phenornena themselves , but inuncertainty. . . one of the few things you can say about England with absolute certainty is that it has a lot of weather. It may not include tropical cyclones but life at the edge of an ocean and the edge of a continent means you can never be entirely sure what you’ re going to get.My research has convinced me that both Bryson and Paxman are missing the point, which is that our conversations about the weather are not really about the weather at all: English weather – speak is a form of code, developed to help us overcome our natural reserve (含蓄) and actually talk to each other. Everyone knows, for example, that “Nice day, isn’t it?”,“Ooh, isn’t it cold?”; and other variations on the theme are not requests for weather data: they are greetings or conversation -starters. In other words, English weather – speak is a form of “cleaning talk”——the human equivalent of what is known as “social cleaning” among our primate(灵长类的)cousins, where they spend hours cleaning each other’s fur, even when they are perfectly clean, as a means of social connection.29. As is stated in the passage, most people try to find out .A. why the English weather is so uniqueB. whether the English enjoy their weatherC. why the English are so interested in the topic of weatherD. whether the English really talk about weather when they do so30. Disapproving of Bill Bryson’ s opinion, Jeremy Paxman a rgues that .A. the English talk about their weather because it is unpredictableB. the English don’ t talk about weather as often as the outsiders thinkC. the English weather can be as exciting as anywhere else’sD. the English weather talk is merely a form of small talk31. According to the author, English weather –speak is similar to primates’social cleaning in that they areboth .A. ways of greetingB. means social connectionC.fascinating topics between people D. phenomena difficult to understand to outsidersDA recent survey shows that the alarming rate of child suicide in Hong Kong, raising levels of stress and anxiety among young people, increasing conflicts between children and teachers, and children’s compl aints that their parents do not understand their problems—all point to a drop in “emotional quotient” (EQ) (情商), the ability to handle relationships.EQ is defined as the ability to deal with oneself and others effectively. High EQ, psychologists say, is easy to spot. Some of the greatest humanitarian (人道主义的) leaders have high EQ, along with successful managers and inspirational and respected teachers. The problem is not how to spot high EQ but to improve on low EQ, so society as a whole can benefit.In the United States, declining EQ among young people is seen as one of the factors behind rising young people’s crime because youths fail to understand others’ feelings—one of the key components of EQ. While the situation in Hong Kong is not so bad, there are warning signs that the levels of anxiety among youth may become critical. Declining EQ among Hong Kong teenagers has been acknowledged by several studies including a key study by the education concern group, the Learning-Teacher Association, which found a high degree of anxiety among students over the future and also that young people lacked confidence in dealing with problems. Parents and teachers will also need to develop their own EQ skills in order to deal with them effectively.Daniel Goleman cites a number of basic elements of high EQ: first, awareness of your feelings as you experience them which is very important to making good decisions in life; second, feeling or awareness of what others are feeling. “90% of emotional information is expressed non-verbally and people vary in their ability to pick it up,” Dr. Goleman says in his book.Dr. Goleman argues that without high EQ even highly-educated, highly-intelligent people will not find success in life. Or those with low EQ, even though they may be brilliant, tend to lack feeling and impulse control. They fail easily, and they are easily intolerant and often aggressive in interpersonal relations. Some educational psychologists believe work on EQ may be important in Hong Kong with its high rate of suicide among school children. EQ test may be able to help predict those most at risk, and those least able to deal with their own emotions or unable to deal with others, including parents and teachers.32. According to the passage, children in Hong Kong commit suicide at an alarming rate as a result of_______.A. parents not understanding their childrenB. the rising levels of stress and anxiety among young peopleC. increasing conflict between children and teachersD. the inability of dealing with relationships33. We can infer from the passage that people with low emotional quotient _______.A. are least likely to become good leadersB. can deal with oneself and others effectivelyC. are beneficial to societyD. are more likely to be respected34. The word “its” in the last paragraph refers to ________.A. the work on EQB. EQC. Hong KongD. China35. Daniel Goleman believes that _______.A. one can be just as successful without having a high EQB. people not having high EQ may not be successful in life despite being extremely intelligentC. people with low intelligence will not get a successful lifeD. only people with both high EQ and high IQ will be successful in life第二节 (共5小题;每小题2分,满分10分)For hundreds of years, people have been wondering about the strange places that they seem to visit in their sleep. 36 However, they have been valued as necessary to a person’s health and happiness. Historically people thought dreams contained messages from God. It was only in the twentieth century that people started to study dreams scientifically believing that they tell about a person's character. 37 He believed that dreams allow a person to express fantasies or fears, which would be socially unacceptable in real life.The second theory to become popular was Carl Jung's compensation theory. Jung, a former student of Freud, said that the purpose of a dream is not to hide something, but rather to communicate it to the dreamer.38 Thus, people who think too highly of themselves may dream about falling; those who think too little of themselves dream of being heroes.Using more recent research, William Domhoff from the University of California found that dreaming is a mental skill that needs time to develop in humans. 39 Until they reach age five, they can not express very well what their dreams are about. Once people become adults, there is little or no change in their dreams. The dreams of men and women differ. For instance, the characters that appear in the dreams of men are often other men, and often involve physical aggression.The meaning of dreams continues to be difficult to understand. 40 If you dream that a loved one is going to die, do not panic. The dream may have meaning, but it does not mean that your loved one is going to die.A. Dreams make up for what is lacking in waking life.B. However, people should not take their dreams as reality.C. They have been considered as meaningless nighttime journeys.D. It gives scientists chances to better understand human mind.E. Children do not dream as much as adults.F. They think their mind is trying to tell them something.G. First, there was Sigmund Freud’s theory.第三部分完形填空(共20小题;每小题1.5分,共30分)On Sunday morning, Janua ry 29, the call woke me up. It was the president of ABC News. “Lee, Bob has been __41__ in Iraq,” he said, choosing his words __42__. “He’s alive but he may have taken shrapnel (炮弹碎片) to the brain.”When I saw Bob in the hospital, nothing could have __43__ me. He was unconscious. His __44__ wasswollen to the size of a rugby ball and a piece of his skull was missing. All sorts of __45__ were coming out of his body. His left eye looked like a dead fish. I tried to __46__ myself that he didn’t look that bad, that this was the __47__ and that he’d only get better from here.There were many months of treatment __48__. Every morning I would head over to the hospital and check on Bob. In the __49__ that a mother uses with her baby I would __50__ to him. I let him know about the kids. I told him stories about us and some of our best __51__ together. I brought music and had home movies for Bob to hear.One day when I pushed open the door as usual, I __52__. Bob was sitting up in bed, a huge smile on his face. He saw me and __53__ his hands in the air. “Hey, sweetie,” he said, “where have you been?” I tried to speak but no words came out. This was so much more than I’d wanted and prayed for, __54__ I couldn’t really believe it. My husband was __55__ and he was calling me. Half of me wanted to shout in __56__ and gratitude and half of me wanted to __57__ everything, how I’d been there day after day for months. I __58__ to him.Bob was __59__. He had the best medical treatment possible and the finest doctors. But the most important thing __60__ to be the love that held us close.41. A. hidden B. caught C. wounded D. disturbed42. A. seriously B. carefully C. actively D. freely43. A. prepared B. damaged C. pleased D. choked44. A. arm B. leg C. head D. hand45. A. tools B. tubes C. weapons D. clothes46. A. convince B. accept C. suggest D. imagine47. A. worst B. best C. least D. most48. A. then B. ever C. before D. ahead49. A. name B. sound C. air D. voice50. A. point B. shout C. talk D. refer51. A. dreams B. memories C. thoughts D. secrets52. A. froze B. cried C. failed D. left53. A. held B. found C. lifted D. seized54. A. that B. but C. which D. and55. A. off B. up C. down D. back56. A. anger B. relief C. faith D. detail57. A. forget B. follow C. explain D. check58. A. waved B. walked C. moved D. ran59. A. fortunate B. patient C. generous D. powerful60. A. turned up B. turned out C. took up D. took out第II卷第二节(共10小题;每小题1.5分,满分15分)阅读下面材料,在空白处填入适当的内容或括号内单词的正确形式。