上海中学高一周练07
2016-2017年上海市上海中学高一上周练04
上海中学高一周练数学卷2016.09.29一. 填空题1. 当且仅当,a b 满足条件 时,(2)(1)a b -+-≥2. 已知c d >,若ac bd bc ad +>+,则a b - 0(填“>”、“<”、“=”)3. 写出命题“若0m >,则方程20x x m +-=有实根”的一个等价命题4. 若,,a b x R ∈,1x ≠-,且a b >,则下列结论中,①22a b >,②1b a <,③33a b >, ④|1||1|a b x x >++,正确的是 5. 已知,,x y z 都是非负整数,且10x y z ++=,2330x y z ++=,则5330x y z ++=的 取值集合为6. 在原命题“若A B B ≠U ,则A B A ≠I ”与它的逆命题、否命题、逆否命题这四个命 题中,真命题的个数是 个7. 已知P 是正三角形ABC 内部一点,△PAB 、△PBC 、△PCA 的面积值形成集合M , 若M 的子集共有4个,则P 点需满足的条件是8. 已知221a b +=,222b c +=,222c a +=,则ab bc ca ++的最小值为9. 设,,a b c 均为正数,若c a b a b b c c a<<+++,则,,a b c 从小到大排列是 10. 小明最近在研究一个问题:“已知实数,,a b c ,若22||||1a b c a b c +++++≤,则222100a b c ++<”,老师告诉他这是假命题,那么符合条件的一个反例可以是二. 选择题11. 已知0x >,0y >,且4x y +≤,则下列不等式恒成立的是( )A. 114x y ≤+B. 111x y +≥C. 2D. 11xy≥ 12. 某校组织学生参观,,,a b c d 四处,规定:去a 就不去b ,去b 就去d ,去c 就不去d , 不去c 就去b ,则下列判断中,错误的是( )A. 不可能去b 又去cB. 去b 的人与去d 的人相同C. 去a 的人就去cD. 去d 的人就去a13. 若0a c b >>>,则a b b c c a c a b---++的值为( ) A. 正 B. 负 C. 零 D. 不确定14. 设,,,,,a b c x y z 是正数,且22210a b c ++=,22240x y z ++=,20ax by cz ++=, 则a b c x y z++=++( ) A. 14 B. 13 C. 12 D. 3415. 已知方程①2110x a x ++=,方程②2220x a x ++=,方程③2340x a x ++=,其中1a 、2a 、3a 是正实数,当2213a a a =⋅时,下列选项中,能推出方程③无实根的是( ) A. 方程①有实根,且②有实根 B. 方程①有实根,且②无实根C. 方程①无实根,且②有实根D. 方程①无实根,且②无实根16. 设多项式852()1Q x x x x x =-+-+,x R ∈,则()Q x 有性质( )A. 对任意x ,()Q x 总是大于零B. 对任意x ,()Q x 总是小于零C. 当0x >时,()0Q x ≤D. 以上都不对三. 解答题17. 已知,a b R ∈,且1a b +=,求证:11(1)(1)9a b ++≥;18. 若,,a b c R +∈,比较bc ca ab a b c++与a b c ++的大小;19. 某商品计划两次提价,有甲、乙、丙三种方案,其中0p q >>;经两次提价后,甲、乙、丙哪种方案的提价幅度最大?为什么?20. 已知,a b R +∈,2n ≥,n N ∈,请你仿照2221111111231223n +++⋅⋅⋅+<+++⋅⋅⋅⨯⨯ 1111111112(1)12231n n n n n +=+-+-+⋅⋅⋅+-=---的证明方法,证明下列不等式: 222111()()()1212()()22n n a b a b a nb a b a b ++⋅⋅⋅+<++++++;参考答案一. 填空题1. 2a ≥且1b ≥2. >3. 若方程20x x m +-=无实根,则0m ≤4. ③④5. {30}6. 47. 在任意中线上,且不为重心8. 129. c a b << 10. (10,10,110)-二. 选择题11. B 12. D 13. B14. C15. B 16. A三. 解答题17. 略; 18. bccaaba b c a b c ++≥++;19. 丙; 20. 略;。
数学上海中学高一周练(2016.09.18)
上海中学高一周练数学卷2016.09.18一. 填空题1. 已知{|2,}E x x x R =≥∈,{|8,}F x x x R =<∈,{|06,}G x x x R =≤≤∈,则 E F = ; F G = ; R C E F = ; R R C E C G = ;F CG = ; ()F C GE = ; 2. 用列举法表示集合*12{|,}5a N a Z a∈∈=- 3. 若“x a ≥”是“||2x ≤”的必要条件,则实数a 的取值集合是4. 命题“若x A ∈或x B ∈,则x A B ∈”的否命题是5. 某校一年级的200人中,爱好数学的有95人,爱好体育的有156人,则数学体育都爱好 的人数的最小值是6. 集合2{|(1)0}A x k x x k =++-=有且仅有两个子集,则实数k 的值为7. 非空集合{|121}A x a x a =+≤<-,{|25}B x x =-≤≤,若A A B ⊆,则a 的取值 范围是8. 关于x 的方程26(2)50x a x b ++++=的解集是N ,关于x 的方程220x ax b -+=的 解集是M ,1{}2M N =,则集合M 为 9. 集合*{|2,,50}A m m k k N k ==∈≤,集合{|,,,}B n n i j i j i A j A ==+<∈∈,则B中元素的个数是10. 若“存在{|12}x x x ∈≤≤使得310x a ++≥”是真命题,则a 的取值范围是11. 设A 是整数集的一个非空子集,对于k A ∈,若1k A -∉且1k A +∉,则称k 是A 的 一个“孤立元”,给定{1,2,3,4,5,6}S =,在S 的所有3元子集中,含“孤立元”的集合共 有 个12. 若集合{,,,}{1,2,3,4}a b c d =,且下列四个关系:①1a =;②1b ≠;③2c =;④4d ≠; 有且只有一个是正确的,则符合条件的有序数组(,,,)a b c d 的个数是13. 非空集合{|2}A x x a =-≤≤,{|23,}B y y x x A ==+∈,2{|,}C z z x x A ==∈, 若C B ⊆,则a 的取值范围是二. 选择题14. 对于集合A 和B ,令{|,,}A B x x a ba Ab B +==+∈∈,如果{|2,}S x x k k Z ==∈, {|21,}T x x k k Z ==+∈,则S T +=( )A. 整数集ZB. SC. TD. {|41,}x x k k Z =+∈15. 已知真命题“a b c d ≥⇒>”和“a b e f <⇒≤”,则“c d ≥”是“e f ≤”的( )A. 充分条件B. 必要条件C. 充要条件D. 既不充分也不必要条件16. 在下面的三个命题中,正确的个数是( )①“△ABC 和△111A B C 都是直角三角形”的否定形式是“△ABC 和△111A B C 都不是直角 三角形”;② 命题“若0xyz <,则,,x y z 中至少有两个负数”的逆否命题是“若,,x y z 中 至多有一个负数,则0xyz ≥”;③ 命题“两个无理数的积仍是无理数”的逆命题是“乘 积为无理数的两数都为无理数”;A. 0B. 1C. 2D. 317. 设Q 是有理数集,集合{|2,,,0}X x x a b a b Q x ==+∈≠,在下列集合中:①{2|x }x X ∈;②{}2x X ∈;③1{|}x X x ∈;④2{|}x x X ∈;与X 相同的集合有( ) A. ①② B. ②③ C. ①②④ D. ①②③18. 设集合0123{,,,}S A A A A =,在S 上定义运算⊕为:i j k A A A ⊕=,其中k 为i j +被4 除的余数,,{0,1,2,3}i j ∈,则满足关系式20()x x A A ⊕⊕=的x ()x S ∈的个数为( )A. 4B. 3C. 2D. 1三. 解答题19. 设2()f x x ax b =++,{|()}{}A x f x x a ===,求a 、b 的值;20. 求证:222()()()a b b c c a -=-=-的充要条件是a b c ==;参考答案一. 填空题1. {|28}x x ≤<、{|8}x x <、{|8}x x <、{|2x x <或6}x >、{|68x x <<或0}x <、 {|2x x <或68}x <<2. {7,1,1,2,3,4}--3. {|2}a a ≤-4. 若x A ∉且x B ∉,则x A B ∉5. 516. 1-或12- 7. 23a <≤ 8. 1{,4}2- 9. 97 10. 7a ≥-11. 16 12. 6 13.132a ≤≤二. 选择题14. C 15. A 16. C 17. D 18. C三. 解答题 19. 13a =,19b =; 20. 略;。
数学上海中学高一周练07(2016.10)
上海中学高一周练数学卷2016.10.27一. 填空题1. 求出下列不等式的解集:(1)42280x x +-< (2)2424x x x ->-(3)2212x x x +≤-- (41211x x >+- (5)2(28)30x x x +-+≥2. 已知,a b 为实数且0ab ≠,有下列不等式:①222a b ab +≥;②||||2b aa b+≥;③ 2b aa b+≥;④222a b a b ++≥;其中恒成立的不等式序号为 3. 设0x ≠,则22352x x--的最大值为4. 已知,x y R ∈,且0xy <,则下列不等式:①||||x y x y +>-;②||||x y x y +<-;③||||||||x y x y -<-;④||||||x y x y -<+;其中正确的是5. x a x +(0)a >解集为{|}x m x n ≤≤,且21n m a -=-,则a =6. 若定义运算“*”满足:21a a b b-*=,则不等式(1)0x x *+<的解集为7. 已知关于x 的不等式|1|x ax -<的解集为M ,Z 为整数集,若{1,2}M Z =,则实数a 的取值范围为8. 若x R +∈,则22xx +的取值范围为 9. 已知不等式1|2|2x a x +>对一切不为零的实数x 恒成立,则实数a 的范围为10. 设x y z >>,11n x y y z x z+≥---*()n N ∈恒成立,则n 的最大值为 11. 已知,,a b c 都是非负数,则c a b a b c c+++的最小值为 12. 某地街道呈现东—西、南—北向的网格状,相邻街距都为1,两街道相交的点称为格点, 若以互相垂直的两条街道为轴建立直角坐标系,现有下述格点(2,2)-、(3,1)、(3,4)、(2,3)-、(4,5)、(6,6)为报刊零售点,请确定一个格点(除零售点外) 为发行站,使6个零售点沿街道到发行站之间路程的和最短二. 选择题13. 已知甲:两实数,a b 满足||2a b -<;乙:两实数,a b 满足|1|1a -<,|1|1b -<, 则甲是乙的( )条件A. 充分不必要B. 必要不充分C. 充要D. 既不充分也不必要 14. 若,x y 是不相等的两个正数且1xy ≠,则下列代数式中值最大的是( )A. 11()()x y x y ++B. 1xy xy +C. 11()()x y y x ++D. 11()()x y x y++ 15. 设集合2{|230}A x x x =+->,集合2{|210,0}B x x ax a =--≤>,若A B 中恰有一个整数,则实数a 的取值范围是( )A. 3(0,)4B. 34[,)43C. 3[,)4+∞ D. (1,)+∞ 16. 若k R ∈22x k+ )A. 4B. 2C. kD. 不能确定三. 解答题17. 若关于x 的不等式||2ax b +<(0)a ≠的解集为(2,6),求a 、b 的值;18. 解关于x 211x ax +≤;19. 求表面积为18平方分米的长方体体积的最大值;20. 若正数,a b 满足111a b +=,求1411a b +--的最小值,并求此时,a b 的值;参考答案一. 填空题1.(1)(2,2)- (2)[4,)+∞ (3)1(,1)[,2)2-∞-- (4){3}[2,)-+∞ (5)1(,)(0,1)2-∞- 2. ①② 3. 526- 4. ② 5. 22+ 6. {|1x x <且1}x ≠- 7. 12(,]238. 249. 2a < 10. 4 11. 2 12. (3,3)二. 选择题13. B 14. A 15. B 16. D三. 解答题17. 1a =,4b =-或1a =-4b =; 18. 分类讨论,略; 19. 3320. 最小值为4,此时 1.5a =,3b =;。
2016-2017年上海市上海中学高一上周练12
上海中学高一周练数学卷2016.12.08一. 填空题1. 幂函数23y x -=的定义域为 ,值域为2. 定义在[4,4]-上的偶函数()g x 满足:当0x ≤时,()g x 单调递增,若(1)()g m g m -<, 则m 的取值范围是3. 若函数2()|21|f x x x a a =++-+的图像关于y 轴对称,则实数a =4. 若函数()y f x =是定义在(0,)+∞上的减函数,则函数2(2)y f x x =-的单调递增区间 是5. 已知点(,)A a b ()a b ≠位于直角坐标平面的第一象限,点A 以及点A 关于直线y x =的 对称点B 都在一个幂函数()y f x =的图像上,则()f x =6. 设函数()y f x =对一切实数x 均满足(5)(5)f x f x +=-,且方程()0f x =恰有7个不 同的实根,则这7个实根的和为7. 已知函数()||f x x a x b =-+,给出下列命题:(1)当0a =时,()f x 的图像关于点(0,)b 成中心对称;(2)当(,)x a ∈+∞时,()f x 是递增函数;(3)当0x a ≤≤时,()f x 的最大值为24a b +,其中正确的序号是 8. 已知函数()y f x =是R 上的增函数,则0a b +>是()()()()f a f b f a f b +>-+-的 条件9. 函数(2)y f x =+的图像过点(1,3)-,则函数()y f x =的图像关于x 轴对称的图像一定 经过点10. 函数122010()1232011x x x x f x x x x x +++=+++⋅⋅⋅+++++的图像的对称中心为 11. 设函数1()f x x x=+的图像为1C ,1C 关于点(2,1)A 对称的图像为2C ,2C 对应的函数 为()g x ,则()g x 的解析式为 12. 若函数()f x 满足(||)|()|f x f x =,则称()f x 为对等函数,给出以下三个命题:(1)定义域为R 的对等函数,其图像一定过原点(2)两个定义域相同的对等函数的乘积一定是对等函数(3)若定义域是D 的函数()y f x =是对等函数,则{|(),}{|0}y y f x x D y y =∈⊆≥ 其中真命题的个数是二. 选择题13. 幂函数223()(1)m m f x m m x +-=--在(0,)+∞上是减函数,则实数m =( )A. 2或1-B. 1-C. 2D. 2-或114. 已知函数:f R R →,则对所有实数x ,满足221()(())4f x f x -≥,且对不同的x , ()f x 也不同,这样的函数()f x ( )A. 不存在B. 有限多个C. 唯一存在D. 无穷多个15. 函数()y f x =的定义域和值域都是(,0)-∞,则()y f x =-的图像一定位于( )A. 第一象限B. 第二象限C. 第三象限D. 第四象限16. 已知集合{()|()A f x f x =是幂函数且为奇函数},集合{()|()B f x f x =是幂函数且 在R 上单调递增},集合{()|()C f x f x =是幂函数且图像过原点},则( )A. A B C =IB. B A C =IC. C A B =ID. A B C =U17. 定义域和值域均为[,]a a -(常数0a >)的函数()y f x =和()y g x =的图像如图所示,给出下列四个命题:(1)方程(())0f g x =有且仅有三个解;(2)方程(())0g f x =有且仅 有三个解;(3)方程(())0f f x =有且仅有九个解;(4)方程(())0g g x =有且仅有一个解; 那么,其中正确命题的个数是( )A. 4B. 3C. 2D. 1三. 解答题18. 画出下列函数图像:(1)34y x =;(2)2y x -=;19. 若函数34220()(42)(1)f x mx x m x mx -=++++-+的定义域为R ,求实数m 的范围;20. 已知函数22()k k f x x -++=()k Z ∈满足(2)(3)f f <;(1)求k 的值并求出相应的()f x 的解析式;(2)对于(1)中的()f x ,试判断是否存在q (0)q >,使函数()1()(21)g x qf x q x =-+- 在区间[1,2]-上的值域为17[4,]8-?若存在,求出q ;若不存在,请说明理由;21. 已知函数()f x =; (1)求函数()f x 的定义域和值域;(2)若00()f x x =,求0x 的值;参考答案一. 填空题1. (,0)(0,)-∞+∞U ,(0,)+∞2. 1[3,)2-3. 124. (,0)-∞5. 1x -6. 357. (1)(3)8. 充要9. (1,3)-10. (1006,2011)- 11. 1()24g x x x =-+- 12. 1二. 选择题13. B 14. A 15. D 16. B 17. C三. 解答题18. 略;19. 1,2);20.(1)0k =或1,2()f x x =;(2)2q =;21.(1)定义域[1,0)[1,)-+∞U ,值域[0,)+∞;(2)12;。
上海上海中学高一上学期周练英语试题
上海上海中学高一上学期周练英语试题集团标准化办公室:[VV986T-J682P28-JP266L8-68PNN]上海中学2017-2018学年第学期高一英语试题Choice21.The impact__________ high technology draws worldwide attention.A.onB.toC.ofD.in22.________________,the more expansive gestures you should employ when youdeliver a speech.A.The more audience there isB.The more the audience areC.As much audience as there isD.The larger the audience is23.John is really an independent boy and he tries his best to settle everyproblem_______.A.of his ownB.by his own C,for his own D.on his own24.The queen,__________ an old woman, made a poisonous apple and came tothe cottage to tempt Snow White to eat it.A,dressed in B.who was dressing like C.dressed like D.who had clotheson as25.It is reported that __________schools in the west of China are improvingtheir study environment.A.a great many ofB.the large number ofB..a great amount of D.a large number of26.Do you really mean_________a basketball player? Do you know thattraining to be a basketball player means_____________at least eight hoursevery day?A.being,practicingB.to be,practicingC.to be,to practiceD.being,topractice27.Balancing the workload of a _________job alongside a course of study can be difficult, so there is an increasing tendency for people to give up work and go back to school.A.demandingB.rewardingC.leadingD.outstanding28. I couldn’t re sist having another piece of cake ____________I was supposed to be on a diet and lose weight.A.untilB.wheneverC.asD.even if29. Your children will not follow your advice to ____________business management as his major if you ___________.A.take up,force him toB.take up,force himC.take on,force him toD.take on,force him30.The students of class 8____________a farewell party for their retired class teacher from then on.A.made a great decision to holdingB.made up their mind to holdC.were determined to holdD.decide to hold31.The machine is easy to___________,___________is shown in the pictures.A.operate on, whichB.be operated, whichC.be operated on, asD.operate, as32.Mary’s talent for music and acting led her into a(n)_________on the stage.A.workB.professionC.occupationD.career33.Although the old man insisted he ___________all right,his children all insisted he______________to hospital at once.A.was,would be sentB.was, be sentC.be,would be sentD.be,be sent34.It was the financial scandal that he was involved___________pushed him to give up his political career.A.that B,in what C.in that D. in whichans are parts of our body,____________a special function to perform.A.each of them has B,each has C.every of which has D.each of which has36.A;It will be the first time that I _____________the subject.B;Don’t worry.It will be a little difficult the first time you_________it.A.have taught,teachB.teach,have taughtC.will teach,will teachD.have taught,will teach37.Slipping off the bicycle an getting hurt,Jack asked a pass-by whether there was a drugstore around________he could buy the medicine for his broken knee,A.whereB.whenC.whichD.that38.I have a house,________ the southA.that window opensB.of which the window opens toC.whose window open toD.the windows of which opens39.E-mail is a convenient, highly informal medium for conveying message among people __________well satisfies human needs.A.what B,who C.that D.for which40.According to a report recently released by the US National Research Council,the amount of space junk flowing in Earth’s orbit has reached a critical lever_________future space mission may become too dangerous to fly.A.thatB.whereC.whose D of which41.Marco Polo,who was a great Italian traveler, traveled all the way to China,_________was then called Cathy.A.whereB.whichC.whenD.what42.He arrived in New York in 1986,____________some time later, he became a writer.A.whenB.whereC.thatD.which43.It was almost midnight_________the ceremony was over.A.thatB.sinceC.when D,till44.Jenny smiled________her mother did when she was Jenny’s age.A.whatB.whereC.thatD.which45._________did you use to do________you don’t do now?A.46._______glitters is not gold not all those__________wander are lost.A.What,whoB.All that,whoC.All,thatD.What,that47.Sparking Lake in Jiuzhaigou is so beautiful a place_________people can memorize forever even it no longer exists in real life.A.thatB.whichC.asD.what48.I sent invitation to 100people to the party,__________turned up.A.of whom only a thirdB.only 30 of theseC.almost all of themD.and none of them49.There is no difficulty___________we can overcome.A.whichB.thatC.whatD.but50.Could you lend me a knife________?A.which to open the canB.with which to open a canC.with which I opened the canD.with which I can use to open a canVocabularyComplete the following passage by using the words in the box.Each word can only be used once. Note that there is one word more than you need.Prederic Mishikn, who’s been a professor at Columbia Business School for almost 30 years, is good at solving problems and expressing ideas. Whether he’s sending in front of a lecture hall or engaged in a ____51______ conversion, his hands are always waving and pointing. When he was in_____52_______school,one of his professors was so annoyed bythis____53_____gesturing that he made the young economist sit on his hands whenever he visited the professor’s office.I t turns out, however, that Mishikn’s professor had it exactly wrong. Gesture doesn’t prevent but ____54_____clear thought and speech.Research______55____that the movements we make with our hands when wetalk_______56_____a kind of second language, adding information that is____57_______from our words. It is learning’s_____58_______code;Gestures reveals what we know. It also reveals what we don’t know. What’s more, the agreement(or______59_______of agreement)between what our voices say and how our hands move offers a ___60________to our readiness to learn.III. Reading ComprehensionSection ADirections:?For each blank in the following passage there are fourwords?or?phrases?marked A,?B,?C and D. Fill in each blank with the word or phrase that best fits the?context.One of the big excuses for not learning languages in Britain is that when you try them out abroad, the person you are speaking to responds in__61__ English, making you feel about two feet tall—or should that be 36 cm?English people are known for their reluctance to accept changes leading to closer union with us European partners. __62__ according to organizations promoting English business, ____63_____language learning is concerned, that simply doesn’t __53__ in that 21st?century.Trade Section UK aims to help British companies trading overseas. Its chief executive, Sir David Wright, says: “Language __64__ are good for business, good for jobs and help people in their career. Although many people may speak English __65__, they will usually negotiate in their own language. If we are to compete on an equal basis, it’s decisive that business ______66____ the challenge and uses languages more effectively.”The Council of Europe __67__ language learning as an important tool to improve communication and mutual understanding between individuals. The Center for Information on Language Teaching says that being able to speak __68__ language is a “basic life skill” and that the “language deficit in the UK has become an urgent economic, __69__ and political question.”The department for Education and Skills wants to __70__ teaching of modern foreign languages (MFT) at an earlier stage in the future. Primary school children will get greater __71__?to foreign language learning. Currently, about 20 percent of primary schools offer MFL teaching. The Department wants to increase this __72__ by 2012 every child has an entitlement to study a language at primary school.Education and Skills secretary Estelle Morris is very __73__ about more primary schools taking up the __74__ challenge. Children are just so much more responsive___75_____an earlier age.61. A. broken B. perfect C. natural D. simple62. A. And B. But C. So D. Besides63. A. whose B. where C. which D. that64. A. technology B. Learners C. skills D. teachers65. A. at home B. in school C aboard D. Overseas66. A. takes up B. takes off C. takes over D. takes in67. A. finds B. thinks C. regards D. believes68. A. native B. local C. another D. certain69. A. physical B. mental C. spiritual D. social70. A. permit B. encourage C. demand D. challenge71. A. admission B. access C. chance D. approach72. A. in that B. that C. now that D. so that73. A. worried B. concerned C. positive D. negative74. A. language B. business C. competition D. learning75. A. to B. on C. at D. ofReading comprehension(A)I made a pledge (发誓) to myself on the way down to the vacation beach cottage. For two weeks I would try to be a loving husband and father. Totally loving. No ifs, ands or buts.The idea had come to me as I listened to a talk on my car radio. The speaker was quoting a Biblical (圣经的) passage about husbands being thoughtful of their wives. Then he went on to say, "Love is an act ofwill.A person can choose to love." To myself, I had to admit that I had been a selfish husband. Well, for two weeks that would change.And it did. Right from the moment I kissed Evelyn at the door and said, "That new yellow sweater looks great on you."Oh, Tom, you noticed," she said, surprised and pleased, maybe a little puzzled.After the long drive, I wanted to sit and read. Evelyn suggested a walk on the beach. I started to refuse, but then I thought, "Evelyn's been alone here with the kids all the week and now she wants to stay with me." We walked on the beach while the children flew their kites.So it went. Two weeks of not calling the Wall Street firm where I am a director; a visit to the shell museum though I usually hate museums. Relaxed and happy, that's how the whole vacation passed. I made a new pledge to keep on remembering to choose love.There was one thing that went wrong with my experiment, however. Evelyn and I still laugh about it today.Last night at our cottage, preparing for bed, Evelyn stared at me with the saddest expression." What's the matter?" I asked her."Tom," she said in a voice filled with distress, "do you know something I don't?""What do you mean?"" Well...that checkup (体检) I had several weeks ago...our doctor (i)he tell you something about me?Tom, you've been so good to me...am I dying?"It took a moment for it all to sink in. Then I burst out laughing."No, honey," I said, wrapping her in my arms. "You're not dying; I'm just starting to live."76. In the first paragraph, "No ifs, ands or buts" probably means ____.A. UnnecessarilyB. unconditionallyC. impossiblyD. unexpectedly77. During the two weeks on the beach, Tom showed more love to his wife because _____.A. she looked lovely in her new clothesB. she was seriously illC. he was determined to be a good husbandD. he had made a lot of money in Wall Street78.By saying "I'm just starting to live", Tom means that _____.A. he is beginning to feel regretful for what he did to his wifeB. he lived an unhappy life before and is now starting to changeC. he is just beginning to understand the real meaning of lifeD. he is just beginning to enjoy his life as a loving husband(B)As I was thinking about language learning the other day, the image of baking bread came into my mind.I compared some of the exercises and drills that we put ourselves through in order to learn a language to the various ingredients (原料) that go into baking a loaf of fresh bread.Real language learning takes place in human relationships.No one sits down and eats a cup of flour, even if he is hungry and in a hurry.You don' t become bilingual (双语的) by learning lists of vocabulary.You don' tbecome a speaker of a language by memorizing grammatical rules.You become bilingual by entering a community that uses that other language as its basic means of communication.I am not suggesting that we can make bread without ingredients.Flour is necessary, as are yeast (酵母), salt, water and other ingredients.Vocabulary is part of any language and will have to be learned.Grammatical rules exist in every language and cannot be ignored.But merely combining the appropriate ingredients in the recommended proportions does not result in bread.At best, you only end up with a ball of dough (面团).In order to get bread, you have to apply heat to the dough.And in language learning, that heat comes from the community.Anyone who has learned a second language has experienced that heat.It creeps up your neck when you ask the babysitter “Have you already been eaten?” when you meant to say, ‘‘Have you already eaten?” When you try to sa y something quite innocent and the whole room bursts into laughter, you are experiencing the heat that turns raw dough into good bread.Remember the old saying, “If you can' t stand the heat, get out of the kitchen".This is where language learning often breaks down because we find the heat uncomfortable and we stop the baking process.In other words, we can' t stand the heat, so we get out of the kitchen.However, the language learner who stays in the kitchen-in the heat-until the combined ingredients are thoroughly transformed will enjoy the richness of a quality loaf of bread. He is glad that he did not "get out of the kitchen” at the important moment when the oven seemed too hot.The dedicated language learner knows that becoming bilingual cannot be achieved without the heat.79.According to the author, you can possibly become a speaker of a language by ________.A.bearing millions of words and expressions in your mindB.using the language to communicate with those around youC.Knowing verb conjugations and grammatical rulesD.saying something innocent to be laughed at by others80.'What’s the purpose of illustration of the example-you ask the babysitter,"Have you already been eaten?"When you meant to say,"Have you already eaten?"?A. To verify that you are sure to make some mistakes when you enter a community.B.To show that you should combine the ingredients in the recommended proportions.C. To prove that you may experience"heat"from the community in language learning.D. To indicate that being bilingual calls for your courage, confidence and perseverance.81.According to the passage, which of the following is NOT the necessity of baking bread and learning language?A.Excellent Skills.B.Various ingredients.C.Appropriate proportions.D.Uncomfortable heat.(C)Like most people, I’ve long understood that I’ll be judged by my occupation, that my profession is used by people to see how talented I am. Recently, however, I was disappointed to see that it also decides how I’m treated as a person.Last year I left a professional position as a small-town reporter and took a job waiting tables. As someone paid to serve food to people, I had customers say and do things to me I suppose they’d never say or do to the people they know. One night a man talking on his cell phone waved me away,then called me back with his finger a minute later, saying angrily that he was ready to order and asking where I’d been.I had waited tables during summers in college and was treated like a peon(勤杂工) by plenty of people. But at 19 years old, I believed I deserved inferior(低等的)treatment from professional adults. Besides, people responded to me differently after I told them I was in college. Customers would joke that one day I’d be sitting at their table, waiting to be served.Once I graduated I took a job at a community newspaper. From my first day, I heard a respectful tone from everyone who called me. I assumed this was the way the professional world worked--- politely and formally.I soon found out differently. I sat several feet away from a person in advertising department with a similar name. Our calls would often get mixed up and someone asking for Kristen would be transferred to Christie. The mistake was immediately clear. Perhaps it was because of money, but people used a tone with Kristen that they never used with me.My job title made people treat me with courtesy. So it was a shock to return to be the restaurant industry.It’s no secret that there’s a lot to put up with when waiting tables, and fortunately, much of it can be easily forgotten when you pocket the tips. The service industry exists to meet others’ needs. Still, it seemed that many of my customers didn’t get the difference between server and servant.I’m now applying to graduate school, which means someday I’ll return to a profession where people need to be nice to me in order to get what they want. I think I’ll take them to dinner first, and see how they treat someone whose job is to serve them.82.The author was disappointed to find that_____________?A. one’s position is used to measure one’s intelligence.B. Talented people like her should fail to get a respectable jobC. one’s occupation affects the way one is treated as a person.D. professionals tend to look down upon manual workers.83. What does the author intend to say by the example in Paragraph 2?A. Waiting tables is a hard job.B. Some customers are difficult to deal with.C. The man making a phone call is absent-minded.D. Some customers show no respect to those who serve them.84.What does the author imply by saying"... Many of my customers didn’t get the difference between server and servant (Lines 3-4, Para. 7)?A. Those who cater to others' needs are destined to be looked down upon.B. Those working in the service industry shouldn't be heated as servants.C. Those serving others have to put up with rough treatment to earn a living.D. The majority of customers tend to look on a servant as 4. server nowadays.85. The author says one day she’ll take her customers to dinner in order to _______.A. see what kind of person they areB. experience the feeling of being servedC. shoe her generosity towards people inferior to herD.arouse their sympathy for people living a humble life(D)In 1784, five years before he became president of the United States, George Washington, 52, was nearly toothless. So he hired a dentist to transplant nine teeth into his jaw—having extracted them from the mouths of his slaves.That's a far different image from the cherry-tree-chopping George most people remember from their history books. But recently, many historians have begun to focus on the roles slavery played in the lives of the founding generation. They have been spurred in part by DNA evidence madeavailable in 1998, which almost certainly proved Thomas Jefferson had fathered at least one child with his slave Sally Hemings. And only over the past 30 years have scholars examined history from the bottom up. Works of several historians reveal the moral compromises made by the nation's early leaders and the fragile nature of the country's infancy. More significantly, they argue that many of the Founding Fathers knew slavery was wrong—andyet most did little to fight it.More than anything, the historians say, the founders were hampered bythe culture of their time. While Washington and Jefferson privately expressed distaste for slavery, they also understood that it was part ofthe political and economic bedrock of the country they helped to create.For one thing, the South could not afford to part with its slaves. Owning slaves was "like having a large bank account," says Wiencek, authorof An Imperfect God: George Washington, His Slaves, and the Creation of America. 'The southern states would not have signed the Constitutionwithout protections for the "peculiar institution," including a clause that counted a slave as three fifths of a man for purposes of congressional representation.And the statesmen's political lives depended on slavery. The three-fifths formula handed Jefferson his narrow victory in the presidential election of 1800 by inflating the votes of the southern states in the Electoral College. Once in office, Jefferson extended slavery with the Louisiana Purchase in 1803; the new land was carved into 13 states,including three slave states.Still, Jefferson freed Hemings' children—though not Hemings herself or his approximately 150 other slaves. Washington, who had begun to believethat all men were created equal after observing the bravery of the black soldiers during the Revolutionary War, overcame the strong opposition ofhis relatives to grant his slaves their freedom in his will. Only a decade earlier, such an act would have required legislative approval in Virginia.86. In Paragraph 1,George Washington's dental surgery is mentionedto__________A.show the poor medical practice in the past.B.demonstrate the great cruelty of slavery in his days.C.stress the important role of slaves in the entire U.S. history. D.reveal an unknown aspect of his life and introduce the topic87.We may infer from the second paragraph that_____________.A. DNA technology has been widely applied to history research.B. In its early day. s the U. S. was confronted with delicate situations.C. historians deliberately made up some stories of Jefferson's life.D.Political compromises are easily found throughout the U. S. history.88. What do we learn about Thomas Jefferson?A. His political view changed his attitude towards slavery.B. His status as a father made him free the child slaves.C. His attitude towards slavery was complex.D. His affair with a slave ruined his reputation.89.Which of the following is TRUE according to the text?A. Some founding fathers benefited politically from slavery.B. Slaves in the old days did not have the right to vote.C. Slave owners usually had large savings accounts.D. Washington decided to free slaves due to moral considerations. Translation1.社会上,年轻人赶时髦,穿时尚衣服是常有的事。
上海上海中学高一上学期周练英语试题完整版
上海上海中学高一上学期周练英语试题集团标准化办公室:[VV986T-J682P28-JP266L8-68PNN]上海中学2017-2018学年第学期高一英语试题Choice21.The impact__________ high technology draws worldwide attention.A.onB.toC.ofD.in22.________________,the more expansive gestures you should employ when youdeliver a speech.A.The more audience there isB.The more the audience areC.As much audience as there isD.The larger the audience is23.John is really an independent boy and he tries his best to settle everyproblem_______.A.of his ownB.by his own C,for his own D.on his own24.The queen,__________ an old woman, made a poisonous apple and came tothe cottage to tempt Snow White to eat it.A,dressed in B.who was dressing like C.dressed like D.who had clotheson as25.It is reported that __________schools in the west of China are improvingtheir study environment.A.a great many ofB.the large number ofB..a great amount of D.a large number of26.Do you really mean_________a basketball player? Do you know thattraining to be a basketball player means_____________at least eight hoursevery day?A.being,practicingB.to be,practicingC.to be,to practiceD.being,topractice27.Balancing the workload of a _________job alongside a course of study can be difficult, so there is an increasing tendency for people to give up work and go back to school.A.demandingB.rewardingC.leadingD.outstanding28. I couldn’t re sist having another piece of cake ____________I was supposed to be on a diet and lose weight.A.untilB.wheneverC.asD.even if29. Your children will not follow your advice to ____________business management as his major if you ___________.A.take up,force him toB.take up,force himC.take on,force him toD.take on,force him30.The students of class 8____________a farewell party for their retired class teacher from then on.A.made a great decision to holdingB.made up their mind to holdC.were determined to holdD.decide to hold31.The machine is easy to___________,___________is shown in the pictures.A.operate on, whichB.be operated, whichC.be operated on, asD.operate, as32.Mary’s talent for music and acting led her into a(n)_________on the stage.A.workB.professionC.occupationD.career33.Although the old man insisted he ___________all right,his children all insisted he______________to hospital at once.A.was,would be sentB.was, be sentC.be,would be sentD.be,be sent34.It was the financial scandal that he was involved___________pushed him to give up his political career.A.that B,in what C.in that D. in whichans are parts of our body,____________a special function to perform.A.each of them has B,each has C.every of which has D.each of which has36.A;It will be the first time that I _____________the subject.B;Don’t worry.It will be a little difficult the first time you_________it.A.have taught,teachB.teach,have taughtC.will teach,will teachD.have taught,will teach37.Slipping off the bicycle an getting hurt,Jack asked a pass-by whether there was a drugstore around________he could buy the medicine for his broken knee,A.whereB.whenC.whichD.that38.I have a house,________ the southA.that window opensB.of which the window opens toC.whose window open toD.the windows of which opens39.E-mail is a convenient, highly informal medium for conveying message among people __________well satisfies human needs.A.what B,who C.that D.for which40.According to a report recently released by the US National Research Council,the amount of space junk flowing in Earth’s orbit has reached a critical lever_________future space mission may become too dangerous to fly.A.thatB.whereC.whose D of which41.Marco Polo,who was a great Italian traveler, traveled all the way to China,_________was then called Cathy.A.whereB.whichC.whenD.what42.He arrived in New York in 1986,____________some time later, he became a writer.A.whenB.whereC.thatD.which43.It was almost midnight_________the ceremony was over.A.thatB.sinceC.when D,till44.Jenny smiled________her mother did when she was Jenny’s age.A.whatB.whereC.thatD.which45._________did you use to do________you don’t do now?A.46._______glitters is not gold not all those__________wander are lost.A.What,whoB.All that,whoC.All,thatD.What,that47.Sparking Lake in Jiuzhaigou is so beautiful a place_________people can memorize forever even it no longer exists in real life.A.thatB.whichC.asD.what48.I sent invitation to 100people to the party,__________turned up.A.of whom only a thirdB.only 30 of theseC.almost all of themD.and none of them49.There is no difficulty___________we can overcome.A.whichB.thatC.whatD.but50.Could you lend me a knife________A.which to open the canB.with which to open a canC.with which I opened the canD.with which I can use to open a canVocabularyComplete the following passage by using the words in the box.Each word can only be used once. Note that there is one word more than you need.Prederic Mishikn, who’s been a professor at Columbia Business School for almost 30 years, is good at solving problems and expressing ideas. Whether he’s sending in front of a lecture hall or engaged in a ____51______ conversion, his hands are always waving and pointing. When he was in_____52_______school,one of his professors was so annoyed bythis____53_____gesturing that he made the young economist sit on his hands whenever he visited the professor’s office.It t urns out, however, that Mishikn’s professor had it exactly wrong. Gesture doesn’t prevent but ____54_____clear thought and speech.Research______55____that the movements we make with our hands when wetalk_______56_____a kind of second language, adding information that is____57_______from our words. It is learning’s_____58_______code;Gestures reveals what we know. It also reveals what we don’t know. What’s more, the agreement(or______59_______of agreement)between what our voices say and how our hands move offers a ___60________to our readiness to learn.III. Reading ComprehensionSection ADirections:For each blank in the following passage there are four wordsorphrasesmarked A,B,C and D. Fill in each blank with the word or phrase that best fits thecontext.One of the big excuses for not learning languages in Britain is that when you try them out abroad, the person you are speaking to responds in__61__ English, making you feel about two feet tall—or should that be 36 cm?English people are known for their reluctance to accept changes leading to closer union with us European partners. __62__ according to organizations promoting English business, ____63_____language learning is concerned, that simply doesn’t __53__ in that 21st century.Trade Section UK aims to help British companies trading overseas. Its chief executive, Sir David Wright, says: “Language __64__ are good for business, good for jobs and help people in their career. Although many people may speak English __65__, they will usually negotiate in their own language. If we are to compete on an equal basis, it’s decisive that business ______66____ the challenge and uses languages more effectively.”The Council of Europe __67__ language learning as an important tool to improve communication and mutual understanding between individuals. The Center for Information on Language Teaching says that being able to speak __68__ language is a “basic life skill” and that the “language deficit in the UK has become an urgent economic, __69__ and political question.”The department for Education and Skills wants to __70__ teaching of modern foreign languages (MFT) at an earlier stage in the future. Primary school children will get greater __71__to foreign language learning. Currently, about 20 percent of primary schools offer MFL teaching. The Department wants to increase this __72__ by 2012 every child has an entitlement to study a language at primary school.Education and Skills secretary Estelle Morris is very __73__ about more primary schools taking up the __74__ challenge. Children are just so much more responsive___75_____an earlier age.61. A. broken B. perfect C. natural D. simple62. A. And B. But C. So D. Besides63. A. whose B. where C. which D. that64. A. technology B. Learners C. skills D. teachers65. A. at home B. in school C aboard D. Overseas66. A. takes up B. takes off C. takes over D. takes in67. A. finds B. thinks C. regards D. believes68. A. native B. local C. another D. certain69. A. physical B. mental C. spiritual D. social70. A. permit B. encourage C. demand D. challenge71. A. admission B. access C. chance D. approach72. A. in that B. that C. now that D. so that73. A. worried B. concerned C. positive D. negative74. A. language B. business C. competition D. learning75. A. to B. on C. at D. ofReading comprehension(A)I made a pledge (发誓) to myself on the way down to the vacation beach cottage. For two weeks I would try to be a loving husband and father. Totally loving. No ifs, ands or buts.The idea had come to me as I listened to a talk on my car radio. The speaker was quoting a Biblical (圣经的) passage about husbands being thoughtful of their wives. Then he went on to say, "Love is an act ofwill.A person can choose to love." To myself, I had to admit that I had been a selfish husband. Well, for two weeks that would change.And it did. Right from the moment I kissed Evelyn at the door and said, "That new yellow sweater looks great on you."Oh, Tom, you noticed," she said, surprised and pleased, maybe a little puzzled.After the long drive, I wanted to sit and read. Evelyn suggested a walk on the beach. I started to refuse, but then I thought, "Evelyn's been alone here with the kids all the week and now she wants to stay with me." We walked on the beach while the children flew their kites.So it went. Two weeks of not calling the Wall Street firm where I am a director; a visit to the shell museum though I usually hate museums. Relaxed and happy, that's how the whole vacation passed. I made a new pledge to keep on remembering to choose love.There was one thing that went wrong with my experiment, however. Evelyn and I still laugh about it today.Last night at our cottage, preparing for bed, Evelyn stared at me with the saddest expression." What's the matter" I asked her."Tom," she said in a voice filled with distress, "do you know something I don't""What do you mean"" Well...that checkup (体检) I had several weeks ago...our doctor (i)he tell you something about meTom, you've been so good to me...am I dying"It took a moment for it all to sink in. Then I burst out laughing."No, honey," I said, wrapping her in my arms. "You're not dying; I'm just starting to live."76. In the first paragraph, "No ifs, ands or buts" probably means ____.A. UnnecessarilyB. unconditionallyC. impossiblyD. unexpectedly77. During the two weeks on the beach, Tom showed more love to his wife because _____.A. she looked lovely in her new clothesB. she was seriously illC. he was determined to be a good husbandD. he had made a lot of money in Wall Street78.By saying "I'm just starting to live", Tom means that _____.A. he is beginning to feel regretful for what he did to his wifeB. he lived an unhappy life before and is now starting to changeC. he is just beginning to understand the real meaning of lifeD. he is just beginning to enjoy his life as a loving husband(B)As I was thinking about language learning the other day, the image of baking bread came into my mind.I compared some of the exercises and drills that we put ourselves through in order to learn a language to the various ingredients (原料) that go into baking a loaf of fresh bread.Real language learning takes place in human relationships.No one sits down and eats a cup of flour, even if he is hungry and in a hurry.You don' t become bilingual (双语的) by learning lists of vocabulary.You don' tbecome a speaker of a language by memorizing grammatical rules.You become bilingual by entering a community that uses that other language as its basic means of communication.I am not suggesting that we can make bread without ingredients.Flour is necessary, as are yeast (酵母), salt, water and other ingredients.Vocabulary is part of any language and will have to be learned.Grammatical rules exist in every language and cannot be ignored.But merely combining the appropriate ingredients in the recommended proportions does not result in bread.At best, you only end up with a ball of dough (面团).In order to get bread, you have to apply heat to the dough.And in language learning, that heat comes from the community.Anyone who has learned a second language has experienced that heat.It creeps up your neck when you ask the babysitter “Have you already been eaten” when you meant to say, ‘‘Have you already eaten” When you try to say something quite innocent and the whole room bursts into laughter, you are experiencing the heat that turns raw dough into good bread.Remember the old saying, “If you can' t stand the heat, get out of the kitchen".This is where language learning often breaks down because we find the heat uncomfortable and we stop the baking process.In other words, we can' t stand the heat, so we get out of the kitchen.However, the language learner who stays in the kitchen-in the heat-until the combined ingredients are thoroughly transformed will enjoy the richness of a quality loaf of bread. He is glad that he did not "get out of the kitchen” at the important moment when the oven seemed too hot.The dedicated language learner knows that becoming bilingual cannot be achieved without the heat.79.According to the author, you can possibly become a speaker of a language by ________.A.bearing millions of words and expressions in your mindB.using the language to communicate with those around youC.Knowing verb conjugations and grammatical rulesD.saying something innocent to be laughed at by others80.'What’s the purpose of illustration of the example-you ask the babysitter,"Have you already been eaten"When you meant to say,"Have you already eaten"A. To verify that you are sure to make some mistakes when you enter a community.B.To show that you should combine the ingredients in the recommended proportions.C. To prove that you may experience"heat"from the community in language learning.D. To indicate that being bilingual calls for your courage, confidence and perseverance.81.According to the passage, which of the following is NOT the necessity of baking bread and learning language?A.Excellent Skills.B.Various ingredients.C.Appropriate proportions.D.Uncomfortable heat.(C)Like most people, I’ve long understood that I’ll be judged by my occupation, that my profession is used by people to see how talented I am. Recently, however, I was disappointed to see that it also decides how I’m treated as a person.Last year I left a professional position as a small-town reporter and took a job waiting tables. As someone paid to serve food to people, I had customers say and do things to me I suppose they’d never say or do to the people they know. One night a man talking on his cell phone waved me away,then called me back with his finger a minute later, saying angrily that he was ready to order and asking where I’d been.I had waited tables during summers in college and was treated like a peon(勤杂工) by plenty of people. But at 19 years old, I believed I deserved inferior(低等的)treatment from professional adults. Besides, people responded to me differently after I told them I was in college. Customers would joke that one day I’d be sitting at their table, waiting to be served.Once I graduated I took a job at a community newspaper. From my first day, I heard a respectful tone from everyone who called me. I assumed this was the way the professional world worked--- politely and formally.I soon found out differently. I sat several feet away from a person in advertising department with a similar name. Our calls would often get mixed up and someone asking for Kristen would be transferred to Christie. The mistake was immediately clear. Perhaps it was because of money, but people used a tone with Kristen that they never used with me.My job title made people treat me with courtesy. So it was a shock to return to be the restaurant industry.It’s no secret that there’s a lot to put up with when waiting tables, and fortunately, much of it can be easily forgotten when you pocket the tips. The service industry exists to meet others’ needs. Still, it seemed that many of my customers didn’t get the difference between server and servant.I’m now applying to graduate school, which means someday I’ll return to a profession where people need to be nice to me in order to get what they want. I think I’ll take them to dinner first, and see how they treat someone whose job is to serve them.82.The author was disappointed to find that_____________83.A. one’s position is used to measure one’s intelligence.B. Talented people like her should fail to get a respectable jobC. one’s occupation affects the way one is treated as a person.D. professionals tend to look down upon manual workers.83. What does the author intend to say by the example in Paragraph 2A. Waiting tables is a hard job.B. Some customers are difficult to deal with.C. The man making a phone call is absent-minded.D. Some customers show no respect to those who serve them.84.What does the author imply by saying"... Many of my customers didn’t get the difference between server and servant (Lines 3-4, Para. 7)A. Those who cater to others' needs are destined to be looked down upon.B. Those working in the service industry shouldn't be heated as servants.C. Those serving others have to put up with rough treatment to earn a living.D. The majority of customers tend to look on a servant as 4. server nowadays.85. The author says one day she’ll take her customers to dinner in order to _______.A. see what kind of person they areB. experience the feeling of being servedC. shoe her generosity towards people inferior to herD.arouse their sympathy for people living a humble life(D)In 1784, five years before he became president of the United States, George Washington, 52, was nearly toothless. So he hired a dentist to transplant nine teeth into his jaw—having extracted them from the mouths of his slaves.That's a far different image from the cherry-tree-chopping George most people remember from their history books. But recently, many historianshave begun to focus on the roles slavery played in the lives of thefounding generation. They have been spurred in part by DNA evidence made available in 1998, which almost certainly proved Thomas Jefferson had fathered at least one child with his slave Sally Hemings. And only over the past 30 years have scholars examined history from the bottom up. Works of several historians reveal the moral compromises made by the nation's early leaders and the fragile nature of the country's infancy. More significantly, they argue that many of the Founding Fathers knew slavery was wrong—andyet most did little to fight it.More than anything, the historians say, the founders were hampered bythe culture of their time. While Washington and Jefferson privately expressed distaste for slavery, they also understood that it was part ofthe political and economic bedrock of the country they helped to create.For one thing, the South could not afford to part with its slaves. Owning slaves was "like having a large bank account," says Wiencek, authorof An Imperfect God: George Washington, His Slaves, and the Creation of America. 'The southern states would not have signed the Constitutionwithout protections for the "peculiar institution," including a clause that counted a slave as three fifths of a man for purposes of congressional representation.And the statesmen's political lives depended on slavery. The three-fifths formula handed Jefferson his narrow victory in the presidential election of 1800 by inflating the votes of the southern states in the Electoral College. Once in office, Jefferson extended slavery with the Louisiana Purchase in 1803; the new land was carved into 13 states,including three slave states.Still, Jefferson freed Hemings' children—though not Hemings herself or his approximately 150 other slaves. Washington, who had begun to believethat all men were created equal after observing the bravery of the black soldiers during the Revolutionary War, overcame the strong opposition of his relatives to grant his slaves their freedom in his will. Only a decade earlier, such an act would have required legislative approval in Virginia.86. In Paragraph 1,George Washington's dental surgery is mentionedto__________A.show the poor medical practice in the past.B.demonstrate the great cruelty of slavery in his days.C.stress the important role of slaves in the entire U.S. history. D.reveal an unknown aspect of his life and introduce the topic87.We may infer from the second paragraph that_____________.A. DNA technology has been widely applied to history research.B. In its early day. s the U. S. was confronted with delicate situations.C. historians deliberately made up some stories of Jefferson's life.D.Political compromises are easily found throughout the U. S. history.88. What do we learn about Thomas Jefferson?A. His political view changed his attitude towards slavery.B. His status as a father made him free the child slaves.C. His attitude towards slavery was complex.D. His affair with a slave ruined his reputation.89.Which of the following is TRUE according to the text?A. Some founding fathers benefited politically from slavery.B. Slaves in the old days did not have the right to vote.C. Slave owners usually had large savings accounts.D. Washington decided to free slaves due to moral considerations. Translation1.社会上,年轻人赶时髦,穿时尚衣服是常有的事。
上海中学高一周练01(2019.10)
上海中学高一周练数学试卷012019.10一. 填空题1. 对给出的一些数学符号,请用最恰当的一个填空(∈、∉、⊆、⊇、⊆、⊇)(1 (21}(3){(1,1)}- 2{(,)|}x y y x = (4)2{|320}x x x --= Q2. 已知全集{0,1,2,3,4,5,6,7,8}U =,集合{0,1,3,5,8}A =,集合{2,4,5,6,8}B =,则 ()()U U A B =痧I3. 已知0a b +>,0b <,那么a 、b 、a -、b -的大小关系是4. 已知集合{1,2,3}A =,{2,4,5}B =,则集合A B U 的子集的个数为5. 满足12345{,,,,}M a a a a a ⊆,且12312{,,}{,}M a a a a a =I 的集合M 的个数是6. 对于实数a 和b ,0a b a b+>-是||||a b >的 条件 7. 已知关于x 的不等式0ax b -≤的解集是[2,)+∞,则关于x 的不等式2(3)30ax a b x b +--<的解集是8. 若“存在{|12}x x x ∈≤≤,使得310x a ++≥”是真命题,则a 的取值范围是9. 已知集合2{(,)|}A x y y x ==,11{(,)|}12y B x y x -==-,则A B =I 10. 已知不等式组22021x x a a x a ⎧-+-<⎨+>⎩的解集中恰有两个整数,则实数a 的取值范围为 11. 用||S 表示集合S 中元素的个数,设A 、B 、C 为集合,称(,,)A B C 为有序三元组,如果 集合A 、B 、C 满足||||||1A B B C C A ===I I I ,且A B C =∅I I ,则称有序三元 组(,,)A B C 为最小相交,由集合{1,2,3,4}的子集构成的所有有序三元组中,最小相交的有 序三元组的个数为二. 选择题12. 已知x 、y ∈R ,“||||x y x y +=-”的充要条件是( )A. x 和y 全是零B. x 和y 不全是零C. x 和y 至少有一个是零D. x 和y 至多有一个是零13. 有下列四个命题:①“若1xy =,则x 、y 互为倒数”的逆命题;②“面积相等的三 角形全等”的否命题;③“若1m ≤,则220x x m -+=有实数解”的逆否命题;④“若 A B B =I ,则A B ”的逆否命题;其中为真命题的是( )A. ①②B. ②③C. ④D. ①②③14. 若120a a <<,120b b <<,且12121a a b b +=+=,如果要把1122a b a b +、1221a b a b +、 12按从小到大的顺序排列,那么,排在中间的数( ) A. 不能确定 B. 一定是1122a b a b +C. 一定是1221a b a b +D. 一定是1215. 若集合{(,,,)|04,04,04E p q r s p s q s r s =≤<≤≤<≤≤<≤且,,,}p q r s ∈N ,{(,,,)|04,04F t u v w t u v w =≤<≤≤<≤且,,,}t u v w ∈N ,用()card X 表示集合X 中的元素个数,则()()card E card F +=( )A. 50B. 100C. 150D. 200三. 解答题16. 已知实数0a ≥,解关于x 的不等式2(1)10ax a x -++>.17. 已知a 、b 为非负实数,求证:3322)a b a b +≥+.18. 已知集合{0,1}A =,证明:x A ∈且y A ∈是数列x y +、22x y +、33x y +、44x y +、…、n n x y +、…为常数数列的充要条件. (常数数列是指数列中的各项为同一个常数的数列)19. 已知集合12{,,,}k A a a a =⋅⋅⋅(2)k ≥,其中i a ∈Z (1,2,,)i k =⋅⋅⋅,若对于任意的a A ∈,总有a A -∈,则称集合A 具有性质P . 设集合{(,)|,,}T a b a A b A a b A =∈∈-∈,其中(,)a b 是有序数对,集合T 中的元素个数为n .(1)检验集合{0,1,2,3}与{1,2,3}-是否具有性质P ,并对其中具有性质P 的集合,写出相应的集合T ;(2)对任何具有性质P 的集合A ,求n 的最大值. (用k 表示)参考答案一. 填空题1.(1)∈;(2)∈;(3)⊆;(4)⊆;2. {7}3. a b b a >->>-4. 325. 46. 充要7. (,3)(2,)-∞-+∞U8. 7a ≥-9. 11{(,)}24- 10. (1,2] 11. 96二. 选择题12. C 13. D 14. D 15. D三. 解答题16. 当0a =,(,1)x ∈-∞;当01a <≤,1(,1)(,)x a ∈-∞+∞U ;当1a >,1(,)(1,)a a ∈-∞+∞U17. 略18. 充分性:分00x y =⎧⎨=⎩、01x y =⎧⎨=⎩、10x y =⎧⎨=⎩、11x y =⎧⎨=⎩四种情况讨论,推出为常数数列; 必要性:若为常数列,211111111()()()2n n n n n n n n n n n n x y x y x y x y x y x y --+++--++=++⇔=+, ∴112()0n n x y x y ---=,∴0x =或0y =或x y =,再分情况讨论,∴x A ∈,y A ∈19.(1){0,1,2,3}不具有性质P ,{1,2,3}-具有性质P ,{(2,1),(2,3)}T =-;(2)由定义,0A ∉,若有序数对(,)a b T ∈,则a A ∈,b A ∈,a b A -∈,∴b a A -∉, ∴(,)b a T ∉,即对A 中任取的两数a 、b ,形成的两个有序数对(,)a b 和(,)b a 中,至多有一个在集合T 中,∴对于k 个元素的集合A ,n 的最大值为2(1)2k k k C -=。
2016-2017年上海市上海中学高一上周练02
上海中学高一周练数学卷2016.09.18一. 填空题1. 已知{|2,}E x x x R =≥∈,{|8,}F x x x R =<∈,{|06,}G x x x R =≤≤∈,则 E F =I ; F G =U ; R C E F =U ; R R C E C G =U ; F C G = ; ()F C G E =I ;2. 用列举法表示集合*12{|,}5a N a Z a∈∈=- 3. 若“x a ≥”是“||2x ≤”的必要条件,则实数a 的取值集合是4. 命题“若x A ∈或x B ∈,则x A B ∈U ”的否命题是5. 某校一年级的200人中,爱好数学的有95人,爱好体育的有156人,则数学体育都爱好 的人数的最小值是6. 集合2{|(1)0}A x k x x k =++-=有且仅有两个子集,则实数k 的值为7. 非空集合{|121}A x a x a =+≤<-,{|25}B x x =-≤≤,若A A B ⊆I ,则a 的取值 范围是8. 关于x 的方程26(2)50x a x b ++++=的解集是N ,关于x 的方程220x ax b -+=的 解集是M ,1{}2M N =I ,则集合M 为9. 集合*{|2,,50}A m m k k N k ==∈≤,集合{|,,,}B n n i j i j i A j A ==+<∈∈,则B 中元素的个数是10. 若“存在{|12}x x x ∈≤≤使得310x a ++≥”是真命题,则a 的取值范围是11. 设A 是整数集的一个非空子集,对于k A ∈,若1k A -∉且1k A +∉,则称k 是A 的 一个“孤立元”,给定{1,2,3,4,5,6}S =,在S 的所有3元子集中,含“孤立元”的集合共 有 个12. 若集合{,,,}{1,2,3,4}a b c d =,且下列四个关系:①1a =;②1b ≠;③2c =;④4d ≠; 有且只有一个是正确的,则符合条件的有序数组(,,,)a b c d 的个数是13. 非空集合{|2}A x x a =-≤≤,{|23,}B y y x x A ==+∈,2{|,}C z z x x A ==∈, 若C B ⊆,则a 的取值范围是二. 选择题14. 对于集合A 和B ,令{|,,}A B x x a b a A b B +==+∈∈,如果{|2,}S x x k k Z ==∈, {|21,}T x x k k Z ==+∈,则S T +=( )A. 整数集ZB. SC. TD. {|41,}x x k k Z =+∈15. 已知真命题“a b c d ≥⇒>”和“a b e f <⇒≤”,则“c d ≥”是“e f ≤”的( )A. 充分条件B. 必要条件C. 充要条件D. 既不充分也不必要条件16. 在下面的三个命题中,正确的个数是( )①“△ABC 和△111A B C 都是直角三角形”的否定形式是“△ABC 和△111A B C 都不是直角 三角形”;② 命题“若0xyz <,则,,x y z 中至少有两个负数”的逆否命题是“若,,x y z 中 至多有一个负数,则0xyz ≥”;③ 命题“两个无理数的积仍是无理数”的逆命题是“乘 积为无理数的两数都为无理数”;A. 0B. 1C. 2D. 317. 设Q 是有理数集,集合{|,,0}X x x a a b Q x ==+∈≠,在下列集合中:①{2|x }x X ∈;②}x X ∈;③1{|}x X x ∈;④2{|}x x X ∈;与X 相同的集合有( ) A. ①② B. ②③ C. ①②④ D. ①②③18. 设集合0123{,,,}S A A A A =,在S 上定义运算⊕为:i j k A A A ⊕=,其中k 为i j +被4 除的余数,,{0,1,2,3}i j ∈,则满足关系式20()x x A A ⊕⊕=的x ()x S ∈的个数为( )A. 4B. 3C. 2D. 1三. 解答题19. 设2()f x x ax b =++,{|()}{}A x f x x a ===,求a 、b 的值;20. 求证:222()()()a b b c c a -=-=-的充要条件是a b c ==;参考答案一. 填空题1. {|28}x x ≤<、{|8}x x <、{|8}x x <、{|2x x <或6}x >、{|68x x <<或0}x <、 {|2x x <或68}x <<2. {7,1,1,2,3,4}--3. {|2}a a ≤-4. 若x A ∉且x B ∉,则x A B ∉U5. 516. 1-或12- 7. 23a <≤ 8. 1{,4}2- 9. 97 10. 7a ≥-11. 16 12. 6 13.132a ≤≤二. 选择题14. C 15. A 16. C 17. D 18. C三. 解答题 19. 13a =,19b =; 20. 略;。
上海市上海中学2016-2017学年高一上学期数学周练12含答案
上海中学高一周练数学卷2016。
12.08一. 填空题1。
幂函数23y x -=的定义域为 ,值域为2。
定义在[4,4]-上的偶函数()g x 满足:当0x ≤时,()g x 单调递增,若(1)()g m g m -<, 则m 的取值范围是3. 若函数2()|21|f x x x a a =++-+的图像关于y 轴对称,则实数a = 4。
若函数()y f x =是定义在(0,)+∞上的减函数,则函数2(2)y f x x =-的单调递增区间是5。
已知点(,)A a b ()a b ≠位于直角坐标平面的第一象限,点A 以及点A 关于直线y x =的对称点B 都在一个幂函数()y f x =的图像上,则()f x =6. 设函数()y f x =对一切实数x 均满足(5)(5)f x f x +=-,且方程()0f x =恰有7个不同的实根,则这7个实根的和为7。
已知函数()||f x x a x b =-+,给出下列命题:(1)当0a =时,()f x 的图像关于点(0,)b 成中心对称;(2)当(,)x a ∈+∞时,()f x 是递增函数;(3)当0x a ≤≤时,()f x 的最大值为24a b +,其中正确的序号是8. 已知函数()y f x =是R 上的增函数,则0a b +>是()()()()f a f b f a f b +>-+-的 条件9. 函数(2)y f x =+的图像过点(1,3)-,则函数()y f x =的图像关于x 轴对称的图像一定经过点10. 函数122010()1232011x x x x f x x x x x +++=+++⋅⋅⋅+++++的图像的对称中心为11. 设函数1()f x x x =+的图像为1C ,1C 关于点(2,1)A 对称的图像为2C ,2C 对应的函数 为()g x ,则()g x 的解析式为12. 若函数()f x 满足(||)|()|f x f x =,则称()f x 为对等函数,给出以下三个命题:(1)定义域为R 的对等函数,其图像一定过原点(2)两个定义域相同的对等函数的乘积一定是对等函数(3)若定义域是D 的函数()y f x =是对等函数,则{|(),}{|0}y y f x x D y y =∈⊆≥ 其中真命题的个数是二. 选择题13。
上海名校数学周周爽:上海中学高一下学期数学周周练8
上海中学高一数学周练卷一. 填空题1. 等差数列{}n a 中,24a =,714a =,则{}n a 的通项公式为2. 等比数列{}n a 中,216a =,61a =,则{}n a 的通项公式为3. 等差数列的第2、第3、第6项依次成等比数列,则公比是4. 有穷数列1,2a ,4a ,6a ,⋅⋅⋅,22n a -(3n ≥,*n N ∈)的项数是5. 若lg 2,lg(1)x -,lg(3)x +成等差数列,则x 的值等于6. 设数列{}n a ,{}n b 都是等差数列,若117a b +=,3321a b +=,则55a b +=7. 设公比为q (0q >)的等比数列{}n a 的前n 项和为n S ,若2232S a =+,4432S a =+,则q =8. 已知等比数列{}n a 是递增数列,n S 是{}n a 的前n 项和,若1a 、3a 是方程2540x x -+=的两个根,则6S =9. 在100内能被3整除,但不能被7整除的所有正整数之和为10. 在等差数列{}n a 中,若11101a a <-,且其前n 项和n S 有最大值,当0n S >时,n 的最大 值是11. 已知一等差数列的公差为2,项数为偶数,所有奇数项之和为15,所有偶数项之和为25,则这个数列的项数为12. 已知数列{}n a 的通项公式是221225()4()55n n n a --=⨯-⨯,数列{}n a 的最大项为第x 项, 最小项为第y 项,则x y +=13. 若等差数列5,8,11,⋅⋅⋅与3,7,11,⋅⋅⋅均有100项,它们相同的项的项数为14. 各项均为实数的等比数列,1010S =,3070S =,则40S =二. 选择题1. 已知数列{}n a 满足130n n a a ++=,243a =-,则{}n a 的前10项和等于( ) A. 106(13)--- B. 101(13)9-- C. 103(13)-- D. 103(13)-+ 2. “α、β、γ成等差数列”是“等式sin()sin 2αγβ+=成立”的( )A. 充分非必要条件B. 必要非充分条件C. 充要条件D. 既非充分又非必要条件3. 已知等比数列{}n a 的公比为q ,记(1)1(1)2(1)n m n m n m n m b a a a -+-+-+=++⋅⋅⋅+,(1)1(1)2(1)n m n m n m n m c a a a -+-+-+=⋅⋅⋅⋅⋅⋅(*,m n N ∈),则以下结论一定正确的是( )A. 数列{}n b 为等差数列,公差为m qB. 数列{}n b 为等比数列,公比为2m qC. 数列{}n c 为等比数列,公比为2m qD. 数列{}n c 为等比数列,公比为m m q4. 设函数()2cos f x x x =-,{}n a 是公差为8π的等差数列, 125()()()5f a f a f a π++⋅⋅⋅+=,则2315[()]f a a a -=( )A. 0B.2116π C. 218π D. 21016π三. 解答题1. 已知数列{}n a 满足以下关系,13a =,1n a +=*n N ∈); (1)求数列{}n a 的通项公式;(2)设数列{}n b 的通项公式为11n n n b a a +=+,求数列{}n b 的前n 项和n S ;2. 在等差数列{}n a 中,34584a a a ++=,973a =;(1)求数列{}n a 的通项公式;(2)对任意*m N ∈,将数列{}n a 中落入区间2(9,9)m m 内的项的个数记为m b ,求数列{}m b 的前m 项和m S ;3. 已知数列{}n a 是等比数列,n S 为其前n 项和;(1)4S ,10S ,7S 成等差数列是1a ,7a ,4a 成等差数列的什么条件,并说明理由;(2)设332S =,62116S =,2n n b ka n =-,若数列{}n b 是单调递减数列,求实数k 的取值 范围;参考答案一. 填空题1. 2n a n =2. 1132()2n -⋅或1132()2n --⋅- 3. 1或3 4. 321n -+5. 56. 357. 328. 639. 1473 10. 19 11. 10 12. 3 13. 25 14. 150二. 选择题1. C2. A3. C4. D三. 解答题1.(1)n a = (2)3n S =2.(1)98n a n =-; (2)219109180m m m S +-⋅+=; 3.(1)充分非必要条件; (2)10(1,)3k ∈-;。
上海市上海中学2016-2017学年高一上学期数学周练14含答案
上海中学高一周练数学卷2016。
12.22一. 填空题 1。
函数()f x x =--(0)x ≤的反函数是1()f x -=2. 若4log 124x =,则x =3. 函数2()lg(23)f x x x =--的递减区间是4. 函数21()12f x x =+(2)x <-的反函数是1()f x -=5. 若函数6,2()3log ,2a x x f x x x -+≤⎧=⎨+>⎩(0a >且1)a ≠的值域是[4,)+∞,则实数a 的取值范围是 6。
若函数()8xf x =的图像经过点1(,)3a ,则1(2)f a -+=7。
若函数24,3()(1)1,3x x f x a x x ⎧-≥=⎨-+<⎩存在反函数,则实数a 的取值范围为8。
如果log41ab =-,则a b +的最小值为9。
若实数t 满足()f t t =-,则称t 是函数()f x 的一个次不动点,设函数()ln f x x =与反函数的所有次不动点之和为m ,则m =10。
设lg lg lg 111()121418x x x f x =+++++,则1()()f x f x +=11. 设方程24xx +=的根为m ,方程2log 4x x +=的根为n ,则m n +=12. 对区间I 上有定义的函数()g x ,记(){|(),}g I y y g x x I ==∈,已知定义域为[0,3]的函数()y f x =有反函数1()y f x -=,且1([0,1))[1,2)f -=,1((2,4])[0,1)f -=,若方程()0f x x -=有解0x ,则0x =二。
选择题 13. 如果23499log 3log 4log 5log 100x =⋅⋅⋅⋅⋅⋅⋅,则x ∈()A 。
(1,2)B 。
(2,3)C. (5,6)D 。
(6,7)14。
函数2x xe e y --=的反函数是( )A 。
上海中学高一周练08(2019.12)
上海中学高一周练数学试卷082019.12一. 填空题1. 写出下列函数的单调增区间(1)2()42f x x x =-++ ;(2)3()f x x x=- ; (3)()f x =;(4)()f x x = ; 2.218x <的解集为3. 已知函数()f x 为奇函数,且当0x >时,432()f x x x x =++,则0x <时,()f x =4. 已知函数2()2(1)2f x ax a x =+-+在(,4]-∞上是减函数,则a 的取值范围是5. 已知定义域为[2,2]-的函数()f x 是偶函数,且在[0,2]上单调递增,若实数a 满足(22)(41)f a f a -<+,则a 的取值范围是6.函数4()f x x x=-的值域为 7. 若R 上的奇函数()f x 满足(4)()f x f x +=,当(0,2)x ∈时,2()3f x x x =-,则(2018)(2019)f f +=8. 已知函数()f x 满足(2)()f x f x +=,且[1,1)x ∈-时,()||f x x =,若方程()f x kx =恰有2019个正实数解,则k 的取值范围是9.设函数22()22x f x x x =-+在R 上最大值为M ,最小值为m ,则M m +=10. 若函数()f x 对任意0x ≠满足1()()1f x f x x+=-,则()f x =二. 选择题11. 已知函数2()f x x x =+,实数a 、b 、c 满足0a b +<,0b c +<,0c a +<,则()()()f a f b f c ++的值( )A. 大于0B. 等于0C. 小于0D. 无法确定符号 12. 设函数()f x 定义域为+R ,则“对任意正实数12x x ≠,1212122()()2x x x xf f x x +<+” 是“()f x 在+R 上单调递增”的( )条件A. 充分不必要B. 必要不充分C. 充分必要D. 既不充分也不必要13. 已知函数2()51f x x x =-+,1()()g x f x x=+,则()g x ( ) A. 在(2,1)--上单调递增 B. 在(1,0)-上单调递减 C. 在(0,1)上单调递增 D. 在(1,2)上单调递减14. 已知定义在区间I 上的函数1()f x 、2()f x 满足对任意12,x x I ∈,12x x ≠,有11222112|()()||()()|f x f x f x f x ->-,记12()()()f x f x f x =+,则以下说法中,( )① 若1()f x 在I 上单调递增,则()f x 一定在I 上单调递增; ② 若2()f x 在I 上单调递增,则()f x 一定在I 上单调递增; A. ①②都正确 B. ①正确,②错误 C. ①错误,②正确 D. ①②都错误三. 解答题15. 利用定义证明32()1f x x x x =+++在R 上单调递增.16. 设函数()f x =(1)若0m =,求()f x 的值域;(2)记()f x 的最大值为()g m ,求()g m 的解析式.17. 对于+R 上的函数()f x ,若其满足以下三个条件:① 对任意0x >,1()()f x f x x=; ② 对任意1x >,1()f x x <<;③ ()f x 在+R 上单调递增,则称()f x 是“平均函数”.(1)判断+R 上的函数21()f x x =,2()f x =,3()f x 42()1xf x x =+是否是 “平均函数”(只需写出结果); (2)若()f x 是“平均函数”,证明: ① (1)1f =;② 存在“平均函数”1()g x 、2()g x ,使得12()()()g x f x g x <<对任意1x ≠成立.参考答案一. 填空题1.(1)(,2]-∞;(2)(,0)-∞和(0,)+∞;(3)[1,)+∞;(4)1(,]4-∞-和[0,)+∞ 2. [0,4) 3. 432x x x -+- 4. 1[0,]5 5. 11(,]646. [5,3]--7. 2-8. 11(,)202120199. 2 10. 111()2222x f x x x +=-+- 10. 1()()1f x f x x +=-…①,∴11()()1x f f x x x +=-…②,1(1)()1f x f x x-+=-…③, 111()()11x f f x x x -+=--…④,①+③得:11()()(1)()11f x f f x f x x ++-+=-,∴11()()()()11x x f f x f f x x x -+++=-,∴11()()(1)()11x x f f f x f x x x-+=-+--…⑤,⑤代入②+④整理得:1111()(1)2()11f f x f x x x x +-+=+--…⑥, ①③代入⑥整理得:111()2222x f x x x +=-+-二. 选择题11. C 12. C 13. D 14. B三. 解答题 15. 证明略.16.(1);(2)12,211(),22m m g m m m m m ⎧+≥-⎪⎪⎪=--<<-⎨⎪≤.17.(1)1()f x 不是,2()f x 是,3()f x 不是,4()f x 是;(2)证明略.。
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上海中学高一周练数学卷
2016.10.27
一. 填空题
1. 求出下列不等式的解集:
(1)4
2
280x x +-< (2)2
2x >(3)
2
2102x x x +≤-- (41
21
x >+
(5)2(20x x +-
2. 已知,a b 为实数且0ab ≠,有下列不等式:①
22
2
a b ab +≥;②||||2b a a b +≥;③ 2b a
a b
+≥;④222a b a b ++≥;其中恒成立的不等式序号为 3. 设0x ≠,则2
2352x x
--的最大值为
4. 已知,x y R ∈,且0xy <,则下列不等式:①||||x y x y +>-;②||||x y x y +<-;
③||||||||x y x y -<-;④||||||x y x y -<+;其中正确的是
5. x ≥(0)a >解集为{|}x m x n ≤≤,且21n m a -=-,则a =
6. 若定义运算“*”满足:21a a b b
-*=,则不等式(1)0x x *+<的解集为
7. 已知关于x 的不等式|1|x ax -<的解集为M ,Z 为整数集,若{1,2}M Z = ,则实
数a 的取值范围为
8. 若x R +
∈,则
22x
x +的取值范围为 9. 已知不等式1
|2|2x a x +>对一切不为零的实数x 恒成立,则实数a 的范围为
10. 设x y z >>,11n x y y z x z
+≥---*()n N ∈恒成立,则n 的最大值为 11. 已知,,a b c 都是非负数,则
c a b a b c c
+++的最小值为 12. 某地街道呈现东—西、南—北向的网格状,相邻街距都为1,两街道相交的点称为格点, 若以互相垂直的两条街道为轴建立直角坐标系,现有下述格点(2,2)-、(3,1)、(3,4)、
(2,3)-、(4,5)、(6,6)为报刊零售点,请确定一个格点(除零售点外) 为发行站,
使6个零售点沿街道到发行站之间路程的和最短
二. 选择题
13. 已知甲:两实数,a b 满足||2a b -<;乙:两实数,a b 满足|1|1a -<,|1|1b -<, 则甲是乙的( )条件
A. 充分不必要
B. 必要不充分
C. 充要
D. 既不充分也不必要 14. 若,x y 是不相等的两个正数且1xy ≠,则下列代数式中值最大的是( ) A. 11()()x y x y ++
B. 1xy xy +
C. 11()()x y y x ++
D. 11
()()x y x y
++ 15. 设集合2{|230}A x x x =+->,集合2{|210,0}B x x ax a =--≤>,若A B 中恰 有一个整数,则实数a 的取值范围是( )
A. 3
(0,)4 B. 34[,)43 C. 3[,)4
+∞ D. (1,)+∞ 16. 若k R ∈2
的最小值为( )
A. 4
B. 2
C. k
D. 不能确定
三. 解答题
17. 若关于x 的不等式||2ax b +<(0)a ≠的解集为(2,6),求a 、b 的值;
18. 解关于x 1ax ≤;
19. 求表面积为18平方分米的长方体体积的最大值;
20. 若正数,a b 满足111a b +=,求1411
a b +--的最小值,并求此时,a b 的值;
参考答案
一. 填空题
1.(1)( (2)[4,)+∞ (3)1(,1)[,2)2
-∞-- (4){3}[2,)-+∞
(5)1(,)(0,1)2
-∞- 2. ①② 3. 5- 4. ② 5. 2
6. {|1x x <且1}x ≠-
7. 12(,]23
8. (0,]4
9. a < 10. 4 11. 2 12. (3,3)
二. 选择题
13. B 14. A 15. B 16. D
三. 解答题
17. 1a =,4b =-或1a =-4b =; 18. 分类讨论,略;
19.
20. 最小值为4,此时 1.5a =,3b =;。