2018.10上海市行知中学高二年级第一学期第一次月考数学试卷

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高二数学上册第一次月考调研考试卷

高二数学上册第一次月考调研考试卷高中最重要的阶段，大家一定要掌握好高中，多做题，多练习，为高考奋战，小编为大家整理了高二数学上册第一次月考调研考试卷，希望对大家有协助。

一选择题
1.在△ABC中，假定，那么B的值为( )
A.30
B.45
C.60
D.90
2.在△ABC中，A=30 =4 b= 那么B=( )
A.30
B.30或150
C.60
D.60或120
3.在△ABC中 A=60 B=45b= 那么为( )
A.2
B.
C.
D.
6.在△ABC中，AB=5 AC=3 BC=7 那么BAC的大小为( )
A.120 B150 C.145 D.60
7.ABC中，假定 = 那么A=( )
A.30
B.60
C.120
D.150
8.在△ABC中，a=6 B=30 C=120 那么△ABC的面积为( )
A.9
B.18
C.
D.
9.数列的一个通项公式是( )
A. =
B. =
C. =
D. =
10.等差数列-3,1,5，的第15项的值是()
A.15
B.51
C.53
D.55
11.﹛﹜为等差数列。

+ =12 那么 =( )
A.4
B.5
C.6
D.7
12.设数列﹛﹜是等差数列，假定 =3 =13 那么数列﹛﹜的前8项和( )
A.128
B.80
C.64
D.56
查字典数学网小编为大家整理了高二数学上册第一次月考调研考试卷，希望对大家有所协助。

高二数学上学期第一次月考试题理12

2017-2018学年高二上学期第一次月考数学（理）试题第Ⅰ卷（共50分）一、选择题：本大题共10个小题,每小题5分,共50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.在ABC ∆中，4a b B π===，则A 等于（）A ．6π B ．3π C ．6π或56π D ．3π或23π 2.已知等差数列{}n a 满足24354,10a a a a +=+=,则它的前10项的和n S =（） A ．23 B ．85 C ．95 D ．135 3.数列{}n a 满足：11221,2,n n n a a a a a --===(3n ≥且*n N ∈)，则8a =（） A ．12B ．1C ．2D ．20132- 4.等差数列{}n a 是递减数列，且23423448,12a a a a a a =++=，则数列{}n a 通项公式是（） A ．210n a n =+ B ．212n a n =- C ．24n a n =+ D ．212n a n =+ 5.已知{}n a 是等差数列，且23101148a a a a +++=，则67a a +=（） A ．12 B ．24 C ．20 D ．166.在ABC ∆中，已知222sin sin sin A B C =+，且sin 2sin cos A B C =，则ABC ∆的形状是 A.等腰三角形B.直角三角形C.等腰直角三角形D.等边三角形7．已知A 船在灯塔C 北偏东85︒且A 到C 的距离为2km ，B 船在灯塔C 西偏北25︒且B 到C 的，则,A B 两船的距离为（）ABC． D． 8.ABC ∆中，2,3BC B π==，当ABC ∆时，sin C =（） ABD ．129.已知等差数列{}n a 中，n S 是它的前n 项和，若160S >，且170S <，则当n S 取最大值时的n 值为（）A ．7B ．8C ．9D ．1610.已知ABC ∆中，()sin sin sin cos cos A B C A B +=+，则ABC ∆的形状是（） A.直角三角形B.锐角三角形C.钝角三角形D.等腰三角形第Ⅱ卷（共90分）二、填空题（每题5分，满分25分，将答案填在答题纸上） 13.ABC ∆中，已知2,45a b B ==︒，则A 为．12.在ABC ∆中，角,,A B C 所对应的边分别为,,a b c ，已知c o s c o s2b C c B b +=，则ab= ． 13.在数列{}n a 中，已知其前n 项和为23n n S =+，则n a = ． 14.设n S 是等差数列{}n a 的前n 项和，若4813S S =，则1216SS = ．15.将正奇数如下分组：（1）()3,5 ()7,9,11 ()13,15,17,19则第n 组的所有数的和为．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.） 16. 如图，在ABC ∆中，4AB B π=∠=，D 是BC 边上一点，且3ADB π∠=.（1）求AD 的长；（2）若10CD =，求AC 的长及ACD ∆的面积.17.在锐角ABC ∆中，,,a b c 分别为角,,A B C2sin c A =. （1）确定角C 的大小；（2）若c ABC ∆，求a b +的值. 18.数列{}n a 的通项()()*10111nn a n n N ⎛⎫=+∈ ⎪⎝⎭，试问该数列{}n a 有没有最大项？若有，求出最大项；若没有，说明理由.19.在等差数列{}n a 中，131,3a a ==-. （1）求数列{}n a 的通项公式；（2）若数列{}n a 的前k 项和35k S =-，求k 的值. 20.在ABC ∆中，222a c b ac +-=. （1）求角B 的大小；（2）求sin sin A C ⋅的最大值.21.已知数列{}n a 中，148,2a a ==，且满足 2120n n n a a a ++-+= （1）求{}n a 的通项公式（2）设123n n S a a a a =++++，求n S .试卷答案一、选择题1-5: DCCAB 6-10: CADBA 二、填空题11.6π 12. 2 13.()()15122n n n a n -=⎧⎪=⎨≥⎪⎩ 14.3515.3n三、解答题16.解：（1）在ABD ∆中，由sin sin AD ABB ADB=∠=∴6AD = （2）∵3ADB π∠=，∴23ADC π∠=由余弦定理知：22222cos 3AC AD DC AD DC π=+-⋅⋅ ∴213610026101962AC ⎛⎫=+-⨯⨯⨯-= ⎪⎝⎭∴14AC = ∵12sin23S AD DC π=⋅⋅，∴16102S =⨯⨯=17.解：（1）在锐角ABC ∆中2sin c A =2sin sin A C A =⋅ ∵sin 0A ≠，∴sin C = ∴3C π=（2）∵2222cos c a b ab C =+-⋅ ∴()22273a b ab a b ab =+-=+-又∵1sin 2S ab C === ∴6ab =∴()225a b += ∴5a b +=18. 解：设n a 是该数列的最大项，则11n n nn a a a a +-≥⎧⎨≥⎩∴()()()111010121111101011111n n n n n n n n +-⎧⎛⎫⎛⎫+≥+⎪ ⎪ ⎪⎪⎝⎭⎝⎭⎨⎪⎛⎫⎛⎫+≥ ⎪ ⎪⎪⎝⎭⎝⎭⎩∴910n ≤≤∴最大项为1091091011a a ==19. 解：（1）设等差数列{}n a 的公差为d ，则()11n a a n d =+-. 由131,3a a ==-，可得123d +=-.解得2d =-.从而，()()11232n a n n =+-⨯-=-. （2）由（1）可知32n a n =-.所以()213222n n n S n n +-⎡⎤⎣⎦==-.进而由35k S =-可得2235k k -=-. 即22350k k --=，解得7k =或5-. 又*k N ∈，故7k =为所求.20. 解：（1）∵2221cos 222a cb ac B ac ac +-===∴3B π=（2）∵3B π=∴23A C π+=∵23C A π=-∴21sin sin sin sin sin sin 32A C A A A A A π⎫⎛⎫⋅=⋅-=+⎪ ⎪⎪⎝⎭⎝⎭ 11sin 2264A π⎛⎫=-+ ⎪⎝⎭ ∵203A π<<，∴7666A πππ-<2-< 当62A ππ2-=时，sin sin A C ⋅最大为34. 21. 解：（1）∵22n n n a a a ++=，∴{}n a 是等差数列由148,2a a ==知2d =-∴210n a n =-+ （2）当5n ≤时，0n a ≥ 12312n n n S a a a a a a a =++++=+++210n =-+当5n >时，n a <0 ()()1212567n n n S a a a a a a a a a =+++=+++-+++()()125122n a a a a a a =+++-+++2940n n =++综上：229,5940,5n n n n S n n n ⎧-+≤⎪=⎨++>⎪⎩。

高二数学上学期第一次月考试题

2018年—20１9年高二上学期第一次月考卷数学试卷一、选择题(本大题共1２小题,共分)1.在中,,,,则Ａ。

B、Ｃ、Ｄ、2.在中,,,,则A、B。

ﻩＣ。

ﻩD、或3.在等差数列中,,则A、 2０ﻩＢ。

１2 Ｃ。

10ﻩD。

364.在中,若,,,则边b等于Ａ、B。

ﻩC。

D。

15.若的三个内角A,B,C满足:::12:13,则一定是Ａ。

锐角三角形B、钝角三角形C、直角三角形ﻩD、无法确定6.已知数列满足,若,则等于Ａ、 1 Ｂ、2ﻩC、 64ﻩD、１287.在中,,,,则ａ的值为A。

3 B。

2３ﻩＣ、ﻩD、２8.在中,,且的外接圆半径,则A、ﻩB。

C、Ｄ、9.已知等差数列中,,,则的前ｎ项和的最大值是A、15 B。

2０ﻩＣ、２6ﻩＤ。

3010.已知数列满足,且,则A、B。

ﻩC。

ﻩD、 211.已知是等比数列,且,,那么的值等于A。

5ﻩB、 10ﻩC。

15 D。

2０12.数列,前n项和为A。

Ｂ、ﻩC。

ﻩD、第II卷二、填空题(本大题共４小题,共分)13.在中,,,,则__＿_＿_、14.设等差数列的公差不为０,已知,且、、成等比数列,则____＿_、15.如图所示,为测量一水塔AB的高度,在C处测得塔顶的仰角为,后退2０米到达D处测得塔顶的仰角为,则水塔的高度为___＿_＿米16.17.ﻭ18.数列前n项和为,则的通项等于______ 。

三、解答题(本大题共6小题,共分)19.已知等比数列,,20.求数列的通项公式、21.求的值、ﻭﻭ22.ﻭ23.24.ﻭ25.在三角形ABＣ中,角A,B,C所对的边为a,b,c,,,且、ﻭⅠ求ｂ;26.Ⅱ求、ﻭ27.ﻭﻭﻭﻭﻭ28.已知等差数列满足:,,其前n项和为。

29.求数列的通项公式及;ﻭ若,求数列的前n项和为、ﻭ30.在中,角Ａ,Ｂ,Ｃ所对的边分别为a,ｂ,c,且、ﻭ求角Ａ的值;31.若,求的面积S、ﻭ32.33.34.ﻭﻭﻭ35.设等差数列的前n项和满足,且,,成公比大于1的等比数列、36.求数列的通项公式;ﻭ设,求数列的前n项和、37.ﻭﻭ22、在海岸A处,发现北偏东方向,距离A为海里的B处有一艘走私船,在A处北偏西方向,距离A为2 海里的Ｃ处有一艘缉私艇奉命以海里时的速度追截走私船,此时,走私船正以10 海里时的速度从B处向北偏东方向逃窜Ⅰ问C船与B船相距多少海里?Ｃ船在B船的什么方向?Ⅱ问缉私艇沿什么方向行驶才能最快追上走私船？并求出所需时间、ﻭﻭﻭ２018-2０19上学期高二第一次月考数学答案和解析【答案】1、D2、Dﻩ3、C4。

上海市行知中学2020-2021学年高二上学期10月月考数学试卷Word版含答案

2021-20211学年行知中学高二上数学10月月考卷一. 填空题〔本大题共10题，1-6每题4分，7-10每题5分，共44分〕 1. 设{}n a 是等差数列，且13a =，2536a a +=，那么{}n a 的通项公式为 2. 数列{}n a 满足12a =，1(1)n n n n a a a +=+-〔*n ∈N 〕，那么42a a 的值为 3. 向量，，，假设∥，那么λ=4. 22351lim()12n n n an an →∞++=+-，那么常数a = 5. 等比数列{}n a 的前n 项和n S 满足11()2n n S a -=-，那么常数a = 6. 设函数()arctan f x x =，那么(1)f -的值为7. 如果1131lim 33n n n n n a a ++→∞+=+，那么实数a 的取值范围是 8. 数列112⨯，123⨯，134⨯，⋅⋅⋅，1(1)n n +，⋅⋅⋅，那么数列的所有项和为9. 数列{}n a 满足212112n a a a n n n++⋅⋅⋅+=+〔*n ∈N 〕，设数列{}n b 满足：121n n n n b a a ++=，数列{}n b 的前n 项和为n T ，假设1n nT n λ<+〔*n ∈N 〕恒成立，那么λ的取值范围是 10. 无穷等比数列{}n a ，公比q 满足0||1q <<，123()n n n n a k a a a +++=+++⋅⋅⋅，求实数k 的取值范围二. 选择题〔本大题共4题，每题4分，共16分〕11. 数列{}n a 的极限为A ，如果数列{}n b 满足662103310nn na nb a n ⎧≤⎪=⎨⎪>⎩，那么数列{}n b 的极限是〔〕A.AB. 23A C.3A D. 不存在12. 某个命题与自然数n 有关，假设n k =〔*k ∈N 〕时命题成立，那么可推得当1n k =+时该命题也成立，现5n =时，该命题不成立，那么可以推得〔〕A.6n =时该命题不成立B. 6n =时该命题成立C.4n =时该命题不成立D. 4n =时该命题成立13. 对于正三角形T ，挖去以三边中点为顶点的小正三角形，得到一个新的图形，这样的过程称为一次“镂空操作〞，设T 是一个边长为1的正三角形，第一次“镂空操作〞后得到图1，对剩下的3个小正三角形各进行一次“镂空操作〞后得到图2，对剩下的小三角形重复进行上述操作，设n A 是第n 次挖去的小三角形面积之和〔如1A 是第1次挖去的中间小三角形面积，2A 是第2次挖去的三个小三角形面积之和〕，n S 是前n 次挖去的所有三角形的面积之和，那么lim n n S →∞=〔〕3B. 33D. 1214. 假设数列{}n b 的每一项都是数列{}n a 中的项，那么称{}n b 是{}n a 的子数列，两个无穷数列{}n a 、{}n b 的各项均为正数，其中321n a n =+，{}n b 是各项和为12的等比数列，且{}n b 是{}n a 的子数列，那么满足条件的数列{}n b 的个数为〔〕A. 0个 B. 1个 C. 2个 D. 无穷多个三. 解答题〔本大题共5题，共8+8+8+18+18=60分〕 15.设、满足，，且与的夹角为23π，求：〔1〕；〔2〕；〔3〕.16.21()3sin cos cos 2f x x x x =-+. 〔1〕求()4f π；〔2〕假设[0,]2x π∈，求()f x 的取值范围；〔3〕设△ABC 的三边分别是a 、b 、c ，周长为1，假设1()2f B =-，求△ABC 面积的最大值. 17.各项均不为零的数列{}n a 满足11a =，前n 项和为n S ，且22212n n nS S n a --=，*n ∈N ，2n ≥，数列{}n b 满足1n n n b a a +=+，*n ∈N .〔1〕求2a ，3a ；〔2〕求2019S .18.如果数列{}n a 、{}n b 满足1||n n n a a b +-=〔*n ∈N 〕，那么就称{}n b 为数列{}n a 的“偏差数列〞. 〔1〕假设{}n b 为常数列，且为{}n a 的“偏差数列〞，试判断{}n a 是否一定为等差数列，并说明理由；〔2〕假设无穷数列{}n a 是各项均为正整数的等比数列，且326a a -=，{}n b 为数列{}n a 的“偏差数列〞，求1231111lim()n nb b b b →∞+++⋅⋅⋅+的值；〔3〕设116()2n n b +=-，{}n b 为数列{}n a 的“偏差数列〞，11a =，221n n a a -≤且221n n a a +≤，假设||n a M ≤对任意*n ∈N 恒成立，求实数M 的最小值.19.对于数列{}n a ，假设存在正数p ，使得1n n a pa +≤对任意*n ∈N 都成立，那么称数列{}n a 为“拟等比数列〞. 〔1〕0a >，0b >且a b >，假设数列{}n a 和{}n b 满足：12a ba +=，1b ab =且12n n n a b a ++=，1n n n b a b +=〔*n ∈N 〕；① 假设11a =，求1b 的取值范围；② 求证：数列{}n n a b -〔*n ∈N 〕是“拟等比数列〞；〔2〕等差数列{}n c 的首项为1c ，公差为d ，前n 项和为n S ，假设10c >，40350S >，40360S <，且{}n c 是 “拟等比数列〞，求p 的取值范围〔请用1c 、d 表示〕.2021-20211学年行知中学高一上数学10月月考卷参考答案一. 填空题 1.63n a n =- 2.433.124. 35.26. 4π-7. (3,3]- 8. 19. 3(,)8+∞ 10.(,2)(0,)-∞-+∞ 二. 选择题 11. C12. C13. A14. C 三. 解答题15.〔1〕4-；〔2〕12；〔3〕419. 16.〔1〕32；〔2〕1[,1]2-；〔3〕334-. 17.〔1〕26a =，34a =；〔2〕20194078379S =.18.〔1〕不一定，比方(1)n n a =-，2n b =，{}n a 不是等差数列；〔2〕34或23〔13n n a -=，123n n b -=⨯或132n n a -=⨯，132n n b -=⨯；〔3〕296.解：(1) 如(1)nn a =-，那么2n b =为常数列，但{}n a 不是等差数列，…………………4分(2) 设数列{}n a 的公比为q ，那么由题意，1a 、q 均为正整数，因为326a a -=，所以1(1)3126a q q -=⨯⨯=，解得113a q =⎧⎨=⎩或132a q =⎧⎨=⎩，故13n n a -= 或132n n a -⨯=(n ∈N *)，………8分①当13n n a -=时，123n n b -⨯=，1111()23n n b -=，43)111(lim 21=+⋯++∞→n n b b b ，② 当132n n a -⨯=时，132n n b -⨯=，1111()32n n b -=，32)111(lim 21=+⋯++∞→n n b b b综上，1231111lim n n b b b b →∞⎛⎫++++⎪⎝⎭的值为34或23；……………10分 (3) 由n a 2≤12-n a 且n a 2≤12+n a 得，])21(6[)1(11++--=-n n n n a a =1)21()1(6+-+-⋅n n 故有：n n n n a a )21()1(611-+-⋅=---，1221)21()1(6-----+-⋅=-n n n n a a ，……2112)21()1(6-+-⋅=-a a ，累加得：])21()21()21[(])1()1()1[(6321211n n n a a -+⋯+-+-+-+⋯+-+-=--=211])21(1[412])1(1[1611+--+---⨯--n n =6)21(1])1(1[311----+---n n ，又11=a ，所以⎪⎪⎩⎪⎪⎨⎧∈=---∈-=--=--*1*1,2)21(61629,12)21(6167N m m n N m m n a n n n………………14分当n 为奇数时，{}n a 单调递增，0>n a ，67lim =∞→n n a ，当n 为偶数时，{}n a 单调递减，0<n a ，629lim -=∞→n n a ，从而||n a ≤629，所以M ≥629，即M 的最小值为629．…………18分 19.解：〔1〕①∵0 0a b >>，，且a b >，112a ba +==，∴11b =<，∴1(0 1)b ∈，，……4分②依题意得：112a b a b +=>=所以，当* 2n n ∈≥N ，时，1102n n n n a ba b --+-=>，…6分所以对任意*n ∈N，都有111()222n n n n n n n n a b a b a b a b ++++-=<=-， ……8分即存在12p =，使得11()n n n n a b p a b ++-<-，∴数列*{}(N )n n a b n -∈是“拟等比数列〞．……10分〔2〕()201840351403640364035004036002c S c c S ⋅>⎧>⎧⎪⇒⎨⎨+⋅<<⎩⎪⎩……12分201820181201820192019100201700020180c c c d c c c c d >>+>⎧⎧⎧⇒⇒⇒⎨⎨⎨+<<+<⎩⎩⎩ 由10c >可知0d <，从而解得120182017c d-<<-， …14分又{}n c 是“拟等比数列〞，故存在0p >，使得1n n c pc +≤1︒当2018n ≤时，0n c >，()()+11111111111n n c c n d dp c c c n d c n dn d +⋅≥==+=++-⋅+-⋅⎛⎫-- ⎪⎝⎭由1120182017201812019c cd d-<<-⇒<-<，由图像可知1111c n d +⎛⎫-- ⎪⎝⎭在2018n ≤时递减，故211201620171,20172018c d p c c ⎛⎫≥=+∈ ⎪⎝⎭；……16分 2︒当2019n ≥时，0n c <，()()+11111111111n n c c n d dp c c c n d c n dn d +⋅≤==+=++-⋅+-⋅⎛⎫-- ⎪⎝⎭由1120182017201812019c cd d-<<-⇒<-<，由图像可知1111c n d +⎛⎫-- ⎪⎝⎭在2019n ≥时递减，故1p ≤；由12︒︒可得，此时p 的取值范围是111d c ⎡⎤+⎢⎥⎣⎦，…18分。

高二数学上学期第一次月考试题理2

2017-2018学年上学期第一次月考高二数学（理）试卷说明：本试卷满分150分，答题时间120分钟第Ⅰ卷（选择题，共60分）一、选择题（本大题共12小题，每小题5分，在每小题给出的四个选项中，只有一项符合题目的要求）1．若直线l 过点A )3,2(-，B )2,3(-，则l 的斜率为（）A ．1B ．1-C ．2D ．2-2.某学校有教师160人,其中有高级职称的32人,中级职称的56人,初级职称的72人.现抽取一个容量为20的样本,用分层抽样法抽取的中级职称的教师人数应为( ) A.4 B.6 C.7 D.9 3．设α和β为不重合的两个平面， l 是一条直线，给出下列命题中正确的是( ) A. 若一条直线l 与α内的一条直线平行，则//l α B. 若平面α内有无数个点到平面β的距离相等，则//αβ C. 若l 与α内的无数条直线垂直，则l α⊥ D. 若直线l 在α内，且l β⊥，则αβ⊥4．梁才学校高中生共有2 400人，其中高一年级800人，高二年级900人，高三年级700人，现采用分层抽样抽取一个容量为48的样本，那么高一、高二、高三各年级抽取人数分别为（）A ．16，20，12B ．15，21，12C ．15，19，14D ．16，18，14 5．有五组变量：①汽车的重量和汽车每消耗1升汽油所行驶的平均路程； ②平均日学习时间和平均学习成绩； ③某人每日吸烟量和其身体健康情况； ④正方形的边长和面积； ⑤汽车的重量和百公里耗油量；其中两个变量成正相关的是（） A ．①③ B ．②④ C ．②⑤ D ．④⑤6．已知等差数列{}n a 的前n 项和为n S ，若M N P 、、三点共线， O 为坐标原点，且156ON a OM a OP =+（直线MP 不过点O ），则20S 等于( ) A. 20 B. 10 C. 40 D. 15 7.右图是计算201614121++++ 的值的一个流程图，其中判断框内应填入的条件是A ．21≤iB ．11≤iC ．21≥iD ．11≥i 8．设l ，m 是两条不同的直线，α是一个平面，则下列命题正确的是（） A ．若l ∥α，m ⊥α，则l ⊥m B ．若l ⊥m ，m ∥α，则l ⊥α C ．若l ⊥m ，m ⊥α，则l ∥α D ．若l ∥α，m ∥α，则l ∥m9．执行如右图所示的程序框图，若输入32n =，则输出的结果为( ) A. 80 B. 84 C. 88 D. 9210．从装有2个红球和2个黑球的口袋内任取2个球，那么互斥而不对立的两个事件是（）A ．至少有一个黑球与都是黑球B ．至少有一个黑球与都是红球C ．至少有一个黑球与至少有1个红球D ．恰有1个黑球与恰有2个黑球11．矩形ABCD 中，3=AB ，1=BC ，将△ABC 与△ADC 沿AC 所在的直线进行随意翻折，在翻折过程中直线AD 与直线BC 成的角范围（包含初始状态）为（）A ．]6,0[πB ．]3,0[πC ．]2,0[πD ．]32,0[π12．记n 项正项数列为n a a a ,,,21⋅⋅⋅，其前n 项积为n T ，定义)lg(21n T T T ⋅⋅⋅⋅为“相对叠乘积”，如果有2013项的正项数列201321,,,a a a ⋅⋅⋅的“相对叠乘积”为2013，则有2014项的数列 201321,,,,10a a a ⋅⋅⋅的“相对叠乘积”为( )A.2014B.2016C.3042D.4027 二.填空题: （每小题5分，共20分）13.某校高中生共有900人，其中高一年级300人，高二年级200人，高三年级400人，现采用分层抽样法抽取一个容量为45的样本，那么从高一、高二、高三各年级抽取人数分别为 .14．一个四棱锥的三视图如右图所示，主视图为等腰直角三角形，俯视图中的四边形为正方形，则该四棱锥外接球的体积为__________．15．圆1)1()1(22=-+-y x 上的点到直线02=--y x 的距离最大值是．16.用“辗转相除法”求得459和357的最大公约数是三、解答题(解答应写出文字说明，证明过程或演算步骤)17．(10分)已知,,a b c 分别是ABC ∆内角,,A B C 的对边， 2sin 2sin sin B A C =． (1)若a b =，求cos B ;(2)若90B =，且a =求ABC ∆的面积．18．已知以点)2,1(-A 为圆心的圆与直线0543:=++y x m 相切．（1）求圆A 的方程；（2）过点)1,0(-B 的动直线l 与圆A 相交于M 、N 两点，当32||=MN 时，求直线l 方程．19.（本小题满分12分）假设某种设备使用的年限x （年）与所支出的维修费用y （万元）有以下统计资料：若由资料知y 对x 呈线性相关关系。

2018-2019学年上海市行知中学高二上学期第一次月考数学试题(解析版)

2018-2019学年上海市行知中学高二上学期第一次月考数学试题一、单选题1．用数学归纳法证明等式时，第一步验证时，左边应取的项是( ) A ．1 B ．C ．D ．【答案】D【解析】由数学归纳法的证明步骤可知：当时，等式的左边是，应选答案D 。

2．有命题：（1）三阶行列式的任一元素的代数余子式的值和其余子式的值互为相反数；（2）三阶行列式可以按其任意一行展开成该行元素与其对应的代数余子式的乘积之和；（3）如果将三阶行列式的某一列的元素与另一列的元素的代数余子式对应相乘，那么它们的乘积之和等于零，其中所有正确命题的序号是（）． A ．（1）（2） B ．（1）（3）C ．（2）（3）D ．（1）（2）（3）【答案】C【解析】根据代数余子式的意义,进行判断即可得出结论. 【详解】(1)三阶行列式的任一元素的代数余子式的值和其余子式的值互为相反数或相等,故(1)不正确;(2)根据代数余子式的意义,可知三阶行列式可以按其任意一行展开成该行元素与其对应的代数余子式的乘积之和,故(2)正确;(3)根据代数余子式与该行的该行的元素值无关,可得如果将三阶行列式的某一列的元素与另一列的元素的代数余子式对应相乘，那么它们的乘积之和等于零,故(3)正确. 故选:C. 【点睛】本题考查了代数余子式的意义,属于基础题.3．当向量(2,2)a c ==-，(1,0)b =时，执行如图所示的程序框图，输出的i 值为（）．A ．5B ．4C ．3D ．2【答案】B【解析】i 0=时， 22(2)28a c ⋅=-+=，i 1=时，(2)(1)226a c ⋅=-⨯-+⨯=，i 2=时，(2)0224a c ⋅=-⨯+⨯=，i 3=时，(2)1222a c ⋅=-⨯+⨯=， i 4=时，(2)2220a c ⋅=-⨯+⨯=，此时0a c ⋅=，所以输出i 4=．故选B ．点睛:本题考查的是算法与流程图,对算法与流程图的考查，侧重于对流程图循环结构的考查.要先明晰算法及流程图的相关概念，包括选择结构、循环结构、伪代码，其次要重视循环起点条件、循环次数、循环终止条件，更要通过循环规律，明确流程图研究的数学问题，是求和还是求项.4．已知数列{}n a 中，12a =，点列(1,2,)n P n =在ABC △内部，且n P AB △与n P AC △的面积比为2:1，若对n *∈N 都存在数列{}n b 满足11(32)02n n n n n n b P A a P B a P C ++++=，则4a 的值为（）．A ．54B ．68C ．76D ．80【答案】D【解析】延长n AP 交BC 于D ,根据面积比为2:1,推出2BD DC =,用BA ,BD 表示n BP ,根据,,n A P D 三点共线,得出{}n a 的递推公式,从而可求得4a . 【详解】如图所示:延长n AP 交BC 于D ,因为n P AB △与n P AC △的面积比为2:1,所以点B ,C 到n AP 的距离之比为2:1,所以点,B C 到n P D 的距离之比为2:1, 所以n P D △B 与n P D △C 的面积比为2:1, 所以:2:1BD DC =,即2BD DC = , 因为11(32)02n n n n n n b P A a P B a P C ++++=, 所以11(32)2n n n n n n a BP b AP a CP +-=++ ()n n b BP BA =-(32)()n n a BP BC ++-所以11(32)(32)2n n n n n n a b a BP b BA a BC +----=--+3(32)2n n b BA a BD =--+, 113(32)211323222n n n n n n n n n a b BP BA BD a b a a b a ++---=+--------,因为,,n A P D 三点共线,所以113(32)2111323222n n n n n n n n a b a b a a b a ++---+=-------- 所以11332(32)22n n n n n a b a b a +----=--+,即132n n a a +=+,所以21323228a a =+=⨯+=,323238226a a =+=⨯+=, 4332326280a a =+=⨯+=.故选:D. 【点睛】本题考查了向量的线性运算,,三点共线的结论,数列的递推公式,属于中档题.二、填空题5．已知向量(4,1),(1,5)OA OB ==，则与向量AB 同向的单位向量是________．【答案】34(,)55-【解析】先求出AB ，再求出||AB uu u r ，然后代入||ABAB 即可求出答案。

行知中学高二月考(2018.10)

y
2sin(2x ) 1 ，则当
3
| a | 取得最小时， a
10. 已知数列{an} 的通项公式是 an 2n 3（ n N* ），数列{bn} 满足 bn1 abn （ n N* ）
且 b1 a1 ，则数列{bn} 的通项公式为
11. 如图，在同一个平面内，向量 OA 、 OB 、 OC 的模分别
3
21. 设函数 f (x) x2 (3k 2k )x 3k 2k ， x R .
（1）若 f (1) 0 ，求实数 k 的取值范围；
（2）若 k 为正整数，设 f (x) 0 的解集为{a2k1, a2k } ，求 a1 a2 a3 a4 及数列{an} 的前
2n 项和 S2n ；
3
8.
各项均为正数的无穷等比数列{an} ，满足 a2
m ， a4
t
x m
，且
y
t
是增广矩阵为
3
0
1 1
22
2
的线性方程组
a11x a21x
a12 y a22 y
c1 c2
的解，则无穷等比数列{an} 各项和的数值是
9.
函数
y
2sin(2x) 的图像按 a 平移后得到的图像解析式是
（3）对于（2）中的数列{an} ，设 bn
(1)n a2n1 a2n
，求数列{bn} 的前 n
项和 Tn 的最大值.
4
参考答案
一. 填空题 1. ( 3 , 4)
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6
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8. 32 12. ( 3 , 9)

高二数学上学期第一次月考试题_1(共6页)

一中高二上学期(xu éq ī)第一次月考数学试卷一．选择题〔本大题一一共12小题，每一小题5分，一共60分.在以下各题的四个选项里面，只有一个选项是符合题目要求的〕1、以下关于星星的图案构成一个数列，该数列的一个通项公式是 ( )A ．a n ＝n 2－n ＋1 B ．a n ＝n (n －1)2C ．a n ＝n (n ＋1)2D ．a n ＝n (n ＋2)22、在等差数列中，，那么的值是〔〕〔A 〕5 〔B 〕6 〔C 〕8 〔D 〕103、等差数列一共有10项，其中奇数项之和为15，偶数项之和为30，那么其公差是( )A ．5B ．4C ．3D ．24、数列{a n }中，a 3＝2，a 7＝1，假设{1a n ＋1}为等差数列，那么a 11＝ ( ) A ．0 B.12 C.23D ．25、在数列{a n }中，a 1＝2，当n 为奇数时，a n ＋1＝a n ＋2；当n 为偶数时，a n ＋1＝2a n －1，那么a 12等于( )A ．32B ．34C ．66D ．646、各项均为正数(zh èngsh ù)的等比数列{}，=5，=10，那么=〔〕(A)(B) 7 (C) 6 (D)7、设等比数列{a n }的前n 项和为S n ，假设S 6S 3＝3，那么S 9S 6＝ ( )A ．2 B.73 C.83D ．38、过原点且与圆x 2+y 2-2x=0截得的弦长为的一条直线的方程是〔〕A ．B ．C ．D ．9、设为等比数列{}n a 的前项和，，，那么公比〔〕〔A 〕3〔B 〕4〔C 〕5〔D 〕610、函数，那么函数的图象可能是〔〕11 1- O1xy11- O 1xy11- O 1xy11、把函数〔〕的图象上所有点向左平行挪动个单位长度，再把所得图象上所有点的横坐标缩短到原来的倍〔纵坐标不变〕，得到的图象所表示的函数是〔〕〔A〕，x R∈∈〔B〕，x R 〔C〕，x R∈∈〔D〕，x R12、某学生(xué sheng)家长为缴纳该学生上大学时的教育费，于2021年8月20号从银行贷款a元，为还清这笔贷款，该家长从2021年起每年的8月20号便去银行归还确定的金额，方案恰好在贷款的m年后还清，假设银行按年利息为p的复利计息〔复利：即将一年后的贷款利息也纳入本金计算新的利息〕，那么该学生家长每年的归还金额是〔〕A．B． C．D．二．填空题〔本大题一一共4小题，每一小题4分，一共16分〕13、等差数列{a n}、{b n}的前n项和分别为S n和T n，假设14、假设以连续掷两次骰子分别得点数m,n作为点P的横、纵坐标，那么点P落在圆x2+y2=16内的概率是．15、假设是奇函数，那么16、数列{}n a满足那么的最小值为__________.三、解答题：本大题一一共6小题，一共74分.17、如图，ABCD 是正方形，O 是正方形的中心，PO 底面ABCD ，E 是PC 的中点。

高二上学期第一次月考数学试题含答案

高二上学期第一次月考数学试题含答案XXX高二第一次月考数学试题（2018.9）注意：本试卷分第Ⅰ卷（选择题）和第Ⅱ卷（非选择题）两部分，满分150分，时间120分钟。

每小题选出答案后，用2B铅笔把答题卡上对应题目的答案标号涂黑。

如需改动，用橡皮擦干净后，再选涂其他答案标号。

在试题卷上作答无效。

第Ⅰ卷一、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.已知数列1,3,5,7.92.则1,37是它的第（）A.第30项B.第31项C.第32项D.第33项2.一个各项为正数的等比数列，其每一项都等于它前面的相邻两项之和，则公比q=（）A.3/2B.5C.(5-1)/2D.(5+1)/23.已知三角形三边比为5:7:8，则最大角与最小角的和为（）A.90°B.120°C.135°D.150°4.已知锐角三角形ABC的面积为32，BC=4，CA=3，则角C的大小为（）A.75°B.60°C.45°D.30°5.设等差数列{an}的前n项和为Sn，若2a6=6+a7，则S9的值为（）A.27B.36C.45D.546.在△ABC中，若2cosBsinA=sinC，则△ABC一定是（）A.等腰直角三角形B.等腰三角形C.直角三角形D.等边三角形7.“远望巍巍塔七层，红光点点倍加增，共灯三百八十一，请问尖头几碗灯？”源自明代数学家XXX所著的《九章算术比类大全》，通过计算得到答案是（）A.2B.3C.4D.58.在△ABC中，若A=30°，a=6，b=4，则满足条件的△ABC（）A.有一个B.有两个C.不存在D.不能确定9.设等差数列{an}的前n项和为Sn，若Sm=2，S2m=10，则S3m=（）A.14B.24C.32D.4210.数列{(n+2)/(8/7)}的最大项为第k项，则k=（）A.5或6B.5C.6D.无法确定11.在坡度一定的山坡A处测得山顶上一建筑物CD的顶端C对于山坡的斜度为15°，向山顶前进100米到达B后，又测得C对于山坡的斜度为45°，若CD=50米，山坡对于地平面的坡角为θ，则cosθ=（）A.(23+1)/3B.(23-1)/3C.3-1D.3+112.已知数列{an}的通项公式为an=n^3-4n，则a10的值为（）A.596B.724C.900D.1024二、非选择题13.已知函数f(x)=2x^3-3x^2-12x+5，求f(-2)和f(3)的值。

2017-2018年上海市行知中学高二下第一次月考数学试卷及答案

上海市行知中学高二下第一次月考一、填空题（1-6 题每题 4 分，7-12 题每题 5 分，共 54 分）1、已知点 A ( 2, 3) ， B (0, 5) ，且AD = DB ,则点 D 的坐标是；2、将参数方程12cos 2sin x y θθ=+⎧⎨=⎩（θ 为参数）化为普通方程，所得方程是；3、已知圆锥的母线与底面所成角为 45°，则圆锥的侧面积与底面积的比值为；4、已知双曲线22145x y -=，则以双曲线的焦点为顶点，以双曲线顶点为焦点的椭圆方程为；5的平面截球所得的圆的面积为 π ，该截面圆周上有两点 A 、B ，且| AB |= 2 ，则 A 、B 两点的球面距离为；6 、已知正四棱锥的底面积为 4cm2 ，体积为 4cm3 ，设它侧面上的斜高与底面所成角大小为 θ ，则 sin θ 的值是；7、已知 2 + ai ，b + i （其中 a, b ∈ R ）是实系数一元二次方程20x px q ++=的两个根，则a bip qi++的值为；8、圆柱的轴截面是边长为 5cm 的正方形 ABCD ，一只蚂蚁沿着圆柱的侧面从点 A 爬到点 C ，爬过的最短路程长度是 cm ；9、已知△ABC 的面积为 1，在△ABC 所在平面内有两点 P 、Q ，满足0,PA PC +=,QA QB QC BC ++=则四边形BCPQ 的面积为；10、如图， △ABC 中， ∠ACB = 90︒ , ∠ABC = 30︒ , BC ，在三角形内挖去一个半圆（圆心 O 在边 BC 上，半圆与 AC 、AB 分别相切于点 C 、M ，与 BC 交于点 N ），将其绕直线 BC 旋转一周得到一个旋转体，则该旋转体体积为；11、对n N *∈ ，设抛物线()2221y n x =+ ，过()2,0P n 任作直线 l 与抛物线交与 A n ， B n 两点，则数列2(1)n n OA OB n ⎧⎫⎪⎪⎨⎬+⎪⎪⎩⎭的前 n 项和为；12、在 xOy 平面上，将两个半圆弧 ( x - 1)2 + y2 = 1( x ≥ 1) 和 ( x - 3)2 + y2 = 1( x ≥ 3) ，两条直线 y = 1 和 y = -1 围成的封闭图形记为 D ，如图中阴影部分。

上海市行知中学2017-2018高二下第一次月考数学试题

A1 B1

15、如图，在正三棱柱 ABC A1 B1C1 中， AB 1 ，若二面角 C AB C1 的大小为 60°，则点 C 到平面 ABC1 的距离为（ A、）
C1
3 4
B、
4 3
C、
3 5
D、
5 3
A B
C
答案：A
D1 C1
16、正方体 ABCD A1 B1C1 D1 的棱长为 a ，平面 ABCD 上一动点 M 到直线 AD 的距离与到直线
BCPQ 的面积为
答案：
；
2 3
A
10、如图， △ABC 中， ACB 90 , ABC 30 , BC 3 ，在三角形内挖去一个半圆（圆半圆与 AC 、AB 分别相切于点 C 、M ，与 BC 交于点 N ），将其绕直线 BC 心 O 在边 BC 上，旋转一周得到一个旋转体，则该旋转体体积为；答案：
答案： x 1 y 2 4
2
；
3、已知圆锥的母线与底面所成角为 45°，则圆锥的侧面积与底面积的比值为答案： 2 4、已知双曲线为答案：
；
x2 y 2 1 ，则以双曲线的焦点为顶点，以双曲线顶点为焦点的椭圆方程 4 5 ；
x2 y2 1 9 5
5、一个与球心距离为 3 的平面截球所得的圆的面积为，该截面圆周上有两点 A、B ，且 | AB | 2 ，则 A、B 两点的球面距离为答案：；
A1 B1
D1C1 的距离相等，则点 M 的轨迹为（
A、直线答案：D B、椭圆
）
D C
C、抛物线
D、双曲线
A B
三、解答题（17-19 题题 14 分，20 题 16 分，21 题 18 分，共 76 分） 17、（本题 2 小题，第 1 小题 6 分，第 2 小题 8 分，满分 14 分）如图已知四棱锥 P ABCD 的底面是边长为 6 的正方形，侧棱 PA 的长为 8，且垂直于底面，点 M 、 N 分别是 DC 、 AB 的中点。 P 求：（1）异面直线 PM 与 CN 所成角的正切值；（2）四棱锥 P ABCD 的表面积. 答案：（1）

2018-2019行知中学高二上月考1试卷

上海市行知中学高二年级第一学期第一次月考英语试卷考试时间：120分钟满分：150分I.Grammar and VocabularySection ADirections: After reading the passage below, fill in the blanks to make the passage coherent and grammatically correct. For the blanks with a given word, fill in each blank with the proper form of the given word; for the other blanks, use one word that best fits each blank.Time is time, no matter where we are in the world. However, it seems like (1)________ we wait for a friend to get ready, five minutes can seem like a whole day. And meanwhile, a really interesting two-hour movie may feel like (2)________ only lasted a few minutes. So, how is it that time doesn’t always seem to follow the same rules?According to a new study published in the journal Nature in August, the differences in (3)________ we sense time come from a “clock” inside our brain.Ever since life first appeared on Earth, living creatures - including humans - have used external (外在的) clues (线索) to tell the time. For example, many animals use the position of the sun to let them know what time it is.However, the brain”s clock, (4)________(control) by a network of brain cells, gets its sense of time from our experiences and memories, reported Medical News Today.So, (5)________ regular clocks, our brain forms a “subjective time derived (源于) from the ongoing flow of experience,” Edvard Moser, director of the Kavli Institute, based at the Norwegian University of Science and Technology, explained in Neuroscience News.(6)________(examine) the activity of this network, a team of scientists at the Kavli Institute studied the brain activity of rats for several hours, during which time the rats (7)________(require) to complete a series of activities.According to Neroscience News, it was found that when the rats carried out any repetitive activities, the brain network became (8)________(precise). It matched the actual time of day.On the other hand, when they took part in any exciting experiences, the brain network didn’t rely on real time markers. This led to time (9)________ (pass) unconsciously.According to Moser, to speed up or slow down the brain’s clock depends on (10)________ the brain simply judges time based on experiences it processes.“If we change what we are doing, we also change our experience of time,”he told the Norwegian Broadcasting of Corporation. “It’s not about absolute time, clock time, but about our subjective perception of time.”Section BDirections: Fill in each blank with a proper word chosen from the box. Each word can be used only once. Note that there is one word more than you need.A.populationB. entirelyC. moderateD. adoptedE. classifiedF. threatsrgely H. cover I. ending J. claims K. rejectedWhales are often called the “giants” of the ocean and may seem to have no rivals. However, they still face some (11)________.At the International Whaling commission (IWC) meeting held in Brazil from Sept 10 to 14, Japan suggested (12)________ a ban on the commercial hunting of whales. The ban was introduced by the IWC in 1986 to protect whales from extinction (灭绝). But Japan said the (13)________ of whales has increased since then and that commercial hunting should be allowed again.However, Japan’s suggestion was (14)________. “We cannot allow opening Pandora’s box to see whales killed in even higher numbers,” Nicolas Entrup of OceanCare, a Swiss non-profit organization, told the Guardian.Whales have suffered from hunting for decades. For example, according to the UK’s Natural History Museum, in the 1800s, there were about 250,000 blue whales around the world. However, there are now only about 2,000 left. The World Wildlife Fund has (15)________ them as “endangered”. This decrease was (16)________ due to hunting.The ban has not (17)________ prevented whale deaths. About 45,000 whales have been killed since the ban was introduced, according to the Whale and Dolphin Conservation Society.Countries like Japan, Norway and Iceland still allow whale hunting. Norway and Iceland have allowed commercial whale hunting for years. Japan (18)________ that it hunts whales in order to study them, but critics say Japan is using science as a (19)________ for commercial whaling, The Independent reported.Whale-hunting is an old tradition in Japan. Organized whaling started in Japan as early as the 1600s. During the post-World War II period, eating whale meat became more popular because of food shortage.But even though food shortages are no longer a problem, it seems that eating whale meat is not going to stop anytime soon. It’s seen as an important part of Japanese culinary culture.However, Willie Mackenzie, an ocean campaigner at Greenpeace, a Netherlands-based environmental organization, believes the practice can be changed. Many countries (20)________ similar practices in the past, but they have “been left there (in the past) for the most part,” Mackenzie told CNN.II.Reading ComprehensionSection ADirections: For each blank in the following passage there are four words or phrases marked A, B, C and D. Fill in each blank with the word or phrase that best fits the context.(A)On the third Monday of February, Americans celebrate Presidents' Day, when Americans honor all their national leaders, past and present. The Day was originally ___21___ to honor the First President, and arguably the country's most influential founder, George Washington, who was born onFebruary 22, 1732. The date became an annual, ___22___ day of remembrance in the year 1800, the year after President Washington died.It finally became a federal holiday in 1885.Since then, about half the States have ___23___ the observance to include the celebration of another President. On this day, about half the U.S. states also commemorate the 16th President, Abraham Lincoln. It is a fitting choice.Born on February 12, 1809, Lincoln, like Washington, was enormously ___24___ in the foundation and development of the United States. Washington led the rebel army that won the country's ___25___ from the British Crown, put the nation on a ___26___ financial footing and led the young United States of America through the initial labor pains that quickly ___27___ a stable, democratic, and lawful government. By leaving office voluntarily after two four-year terms, and by ensuring the peaceful transfer of power to the leader elected to ___28___ him, George Washington set an important precedent for all future presidents.Lincoln, ___29___, was the glue that held together a country torn by a vicious civil war, and set the stage for a peace-time shift in power ___30___ between federal and state government entities. ___31___, his actions turned a loose federation of states united under a weak central government, into a true ___32___ headed by a strong federal government. This change began with slavery laws.Prior to the Civil War, some states allowed slavery by law while others outlawed slavery. On January 1st, 1863, President Lincoln issued the Emancipation Proclamation (解放奴隶宣言), ___33___ slavery in the rebellious states. This led to the ___34___ of the 13th Amendment (修订案) to the Constitution, which abolished slavery nation-wide.We honor Presidents Washington and Lincoln because they ___35___ the values and character that ennoble public service. On Presidents' Day, we honor Presidents past and present as they continue to uphold their oath to “preserve, protect and defend the Constitution of the United States.”21. A. established B. spent C. meant D. born22. A. festive B. unofficial C. national D. honorable23. A. adapted B. modified C. insisted D. honored24. A. popular B. effective C. functional D. influential25. A. foundation B. independence C. birth D. status26. A. enormous B. enduring C.sound D. peaceful27. A. took over B. gave birth to C. woke up to D. turned up28. A. succeed B. substitute C. associate D. resist29. A. on the other hand B. in the meantimeC. in additionD. for another30. A. distribution B. enforcement C. implement D. distraction31. A. Unfortunately B. Hopefully C. Ultimately D. Inevitably32. A. organization B. union C. department D. power33. A. advocating B. accelerating C. accomplishing D. abolishing34. A. observance B. prohibition C. institution D. passage35. A. possessed B. embodied C. defended D. entitled(B)Before 1815 manufacturing in the United States had been done in homes or shops by skilled artisans. As master craft workers, they imparted the knowledge of their trades to apprentices(学徒) and journeymen(熟练工). _____36_____, women often worked in their homes part-time, making finished articles from raw material supplied by merchant capitalists. After 1815 this older form of manufacturing began to ____37____ factories with machinery tended by unskilled or semiskilled laborers. ____38_____ transportation networks, the rise of cities, and the availability of capital and credit all stimulated the shift to factory production.Apprentices were considered part of the family, and masters were responsible not only for teaching their apprentices a trade but also for providing them with some education and for ____39_____ their moral behavior. Journeymen knew that if they ____40____ their skill, they could become respected master artisans with their own shops. Also, skilled artisans did not work by the clock.The factory changed that. Goods produced by factories were not as finished or elegant as those done by hand, and pride in craftsmanship gave way to the ___41_____ to increase rates of productivity. The new methods of doing business involved a new and stricter sense of time. Absenteeism and lateness hurt productivity and, since work was specialized, ____42____ the regular factory routine. Industrialization not only produced a fundamental change in the way work was organized; it ____43_____ the very nature of work.The first generation to experience these changes did not adopt the new attitudes easily. The factory clock became the symbol of the new work rules. One mill worker who finally ____44____ complained revealingly about “obedience to the ding-dong of the bell-just as though we are so many living machines.” With the ____45____ of personal freedom also came the loss of standing in the community. Unlike artisan workshops in which apprentices worked ____46____ with the masters supervising them, factories sharply separated workers from management. Few workers rose through the ranks to supervisory positions, and even well-paid workers sensed their____47____ in status.In this newly emerging economic order, workers sometimes organized to protect their rights and traditional ways of life. The labor movement gathered some momentum(动力，势头) in the decade before the Panic of 1837, but in the depression that followed, labor’s strength____48____. During hard times, few workers were willing to strike or ____49_____ collective action. And skilled craft workers, who led the union movement, did not feel a particularly strong bond with semiskilled factory workers and unskilled laborers. More than a decade of agitation(激烈争论) did finally bring a workday shortened to 10 hours to most industries by the 1850’s, and the courts also recogn ized workers’ right to strike, but these ____50___ had little immediate impact.36. A. Otherwise B. Moreover C. However D. Therefore37. A. give way to B. make up for C. get rid of D. end up with38. A. Expensive B. Public C. Difficult D. Cheap39. A. displaying B. supervising C. respecting D. predicting40. A. shared B. assessed C. perfected D. applied41. A. pressure B. disappointment C. freedom D. hatred42. A. distracted B. broke C. established D. fixed43. A. ignored B. demanded C. guaranteed D. transformed44. A. succeeded B. recovered C. quitted D. revenged45. A. restoration B. change C. loss D. protection46. A. closely B. efficiently C. independently D. diligently47. A. stability B. independence C. decline D. security48. A. maintained B. developed C. returned D. collapsed49. A. protest against B. give up C. account for D. engage in50. A. shortages B. limits C. evidences D. gainsSection BDirections: Read the following three passages. Each passage is followed by several questions or unfinished statements. For each of them there are four choices marked A, B, C and D. Choose the one that fits best according to the information given in the passage you have just read.(A)Fifteen years ago, I took a summer vacation in Lecce in southern Italy. After climbing up a hill for a panoramic (全景的) view of the blue sea, white buildings and green olive trees, I paused to catch my breath and then positioned myself to take the best photo of this panorama.Unfortunately, just as I took out my camera, a woman approached from behind, and planted herself right in front of my view. Like me, this woman was here to stop, sigh and appreciate the view.Patient as I was, after about 15 minutes, my camera scanning the sun and reviewing the shot I would eventually take, I grew frustrated. Was it too much to ask her to move so I could take just one picture of the landscape? Sure, I could have asked her, but something prevented me from doing so. She seemed so content in her obse rvation. I didn’t want to mess with that.Another 15 minutes passed and I grew bored. The woman was still there. I decided to take the photo anyway. And now when I look at it, I think her presence in the photo is what makes the image interesting. The landscape, beautiful on its own, somehow comes to life and breathes because this woman is engaging with it.This photo, with the unique beauty that unfolded before me and that woman who “ruined” it, now hangs on a wall in my bedroom. What would she think if she knew that her figure is captured and frozen on some stranger’s bedroom wall? A bedroom, after all, is a very private space, in which some woman I don’t even know has been immortalized. In some ways, she lives in my house.Perhaps we all live in each other s’ spaces. Perhaps this is what photos are for: to remind us that we all appreciate beauty, that we all share a common desire for pleasure, for connection, for something that is greater than us.That photo is a reminder, a captured moment, an unspoken conversation between two women, separated only by a thin square of glass.51. According to the author, the woman was probably __________.A. enjoying herselfB. losing her patienceC. waiting for the sunsetD. thinking about her past52. In the author’s opinion, what makes the photo so alive?A. The rich color of the landscape.B. The perfect positioning of the camera.C. The woman’s existence in the photo.D. The soft sunlight that summer day.53. The photo on the bedroom wall enables the author to better understand ________.A. the need to be close to natureB. the importance of private spaceC. the joy of the vacation in ItalyD. the shared passion for beauty54. The passage can be seen as the author’s reflections upon _______.A. a particular life experienceB. the pleasure of travelingC. the art of photographyD. a romantic encounter with a stranger(B)A Guide to the UniversityFoodThe TWU Cafeteria is open 7am to 8pm. It serves snacks, drinks, ice cream bars and meals. You can pay with cash or your ID cards. You can add meal money to your ID cards at the Front Desk. Even if you do not buy your food in the cafeteria, you can use the tables to eat your lunch, to have meetings and to study.If you are on campus in the evening or late at night, you can buy snacks, fast food, and drinks in the Lower Cafélocated in the bottom level of the Gouglas Centre. This area is often used for entertainment such as concerts, games or TV watching.RelaxationThe Globe, located in the bottom level of McMillan Hall, is available for relaxing, studying , cooking, and eating. Monthly activities are held here for all international students. Hours are 10 am to 10 pm, closed on Sundays.HealthLocated on the top floor of Douglas Hall, the Wellness Centre is committed to physical, emotional and social health. A doctor and nurse is available if you have health questions or need immediate medical help or personal advice. The cost of this is included in your medical insurance. Hours are Monday to Friday, 9am to noon and 1:00 to 4:30pm.Academic SupportAll students have access to the Writing Centre on the upper floor of Douglas Hall. Here, qualified volunteers will work with you on written work, grammar, vocabulary, and other academic skills. You can sign up for an appointment on the sign-up sheet outside the door two 30 –minute appointments per week maximum. This service is free.TransportationThe TWU Express is a shuttle service. The shuttle transports students between campus and the shopping centre, leaving from the Mattson Centre. Operation hours are between 8am and 3pm. Saturdays only. Round trip fare is $1.55. What can you do in the TWU Cafeteria?A. Do homework and watch TVB. Buy drinks and enjoy concertsC. Have meals and meet with friendsD. Add money to your ID and play chess56.Which of the following is TRUE according to the passage?A. You can treat your friends to home-cooked meals in the Globe on weekends.B. The Wellness Centre offers medical services free of charge.C. You can go to the Writing Centre directly to get tutoring for you language studies.D. If you feel depressed, you may seek medical help on campus.57. What is the function of TWU Express?A. To carry students to the lecture halls.B. To provide students with campus toursC. To take students to the Mattson Centre.D. To transport students to and from the stores.In ancient Egypt the pharaoh(法老)treated the poor message runner like a prince when he arrived at the palace if he brought good news. However if the exhausted runner had the misfortune to bring the pharaoh unhappy news, his head was cut off．Shades of that spirit spread over today’s conversations. Once, a friend and I packed up some peanut butter and sandwiches for an outing. As we walked light-heartedly out of the door picnic basket in hand, a smiling neighbor looked up at the sky and said, “Oh boy, bad day for a picnic. The weatherman says it’s going to rain.” I wanted to strike him on the face with the peanut butter and sandwiches. Not for his stupid weather report, but for his smile.Several months ago I was racing to catch a bus. As I breathlessly put my handful of cash across the Greyhound counter, the sales agent said with a broad smile, “Oh, that bus left five minutes ago.” Dreams of head-cutting!It’s not the news that makes someone angry. It’s the unsympathetic attitude with which it’s delivered. Everyone must give bad news from time to time and winning professionals do it with the proper attitude. A doctor advising a patient that she needs an operation does it in a caring way. A boss informing an employee he didn’t get the job takes on a sympathetic tone. Big winners know when delivering any bad news, they should share the feeling of the receiver.Unfortunately, many people are not aware of this. When you’re tired from a long flight, has a hotel clerk cheerfully said that your room isn’t ready yet? When you had your heart set on the toast beef, has your waiter merrily told you that he just served the last piece? It makes you, as traveler or diner, want to land your fist right on their unsympathetic faces．Had my neighbor told me of the upcoming rainstorm with sympathy, I would have appreciated his warning. Had the Greyhound salesclerk sympathetically informed me that my bus had already left, I probably would h ave said “Oh that’s all right. I’ll catch the next one.” When they bear bad news, big winners deliver bombs with the emotion the bombarded (被轰炸的) person is sure to have. 58:In Paragraph 1, the writer tells the story of the pharaoh to ____.A．make a comparison B．introduce a topicC．describe a scene D．offer an argument59:In the writer’s opinion, his neighbor was ___.A．friendly B．warm-hearted C．not considerate D．not helpful60:From “Dreams of head-cutting!” (Paragraph3)，we learn that the writer___.A．was mad at the sales agentB．was reminded of the cruel pharaohC．wished that the sales agent would have had dreamsD．dreamed of cutting the sales agent’s head that night61. What is the main idea of the text？A．Delivering bad news properly is important in communication.B．Helping others sincerely is the key to business success.C．Receiving bad news requires great courage.D．Learning ancient traditions can be useful.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 encouraged 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 weak natu re of the country’s infancy. More significantly, they argue that many of the Founding Fathers knew slavery was wrong—and yet most did little to fight it.More than anything, the historians say, the founders were limited by the culture of their time. While Washington and Jefferson privately expressed dislike for slavery, they also understood that it was part of the 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 sl aves was “like having a large bank account,” says Wiencek, author of An Imperfect God: George Washington, His Slaves, and the Creation of America. ‘The southern states would not have signed the Constitution without protections for the “peculiar institution,” including part of a legal document 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’s children—though not Hemings herself or his approximately 150 other slaves. Washington, who had begun to believe that 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.62. According Paragraph 1, George Washington’s dental surgery is mentioned to ________A. show the early medical practice in the past.B. demonstrate the cruelty of slavery in his days.C. stress the role of slaves in the U.S. history.D. reveal some unknown aspect of his life.63.We may infer from the second paragraph that __________A. DNA technology has been widely applied to history research.B. in its early days 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.64.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 prestige.65.Which of the following is true according to the text?A. Some Founding Fathers benefit 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. Slavery was regarded as a peculiar institution.Section CDirections: Read the following passage. Fill in each blank with a proper sentence given in the box. Each sentence can be used only once. Note that there are two more sentences than you need.Today and every day we are the targets of advertisers, fundraisers and politicians trying to persuade us to buy something, do something or think a certain way. And they’re good at it.66.__________________ It is not persuasion but pre-suasion that counts.Research done in the last 15 years shows that good persuasion is achieved through good pre-suasion—the practice of arranging for people to agree with a message before they even know what’s in it. 67._____________________ In one study, visitors to an online sofa store were greeted with images of either soft clouds or small coins in the background of its landing page. Those who saw the clouds were more likely to prefer soft, comfortable sofas for purchase whereas those who saw the money preferred cheaper models.68._____________________ For example, in 1588, thousands of British troops, who were gathered against a sea invasion by Spain at Tilbury in the UK, were deeply concerned that their leader Queen Elizabeth I, as a woman, would not be up to the rigors of battle. In addressing the men, she got rid of their fears pre-suasively – first acknowledging their concern by admitting a weakness, which established her honesty for whatever she said next, and then following it with a strength that destroyed this perceived weakness. “I know,” she asserted, “I have the body of a weak woman. But I have the heart of a king, and a king of England, too.” It’s reported that so long and loud were the cheers after this pronouncement that officers had to ride among the soldiers ordering them to restrain themselves so the queen could continue.With considerable success, practitioners of social influence have always featured persuasive prods–glowing qualifications, emotional tugs, last-chance opportunities – in their appeals. Perhaps because of that success, they’ve mostly missed an accompanying truth. 69.__________________III. Summary WritingDirections: Read the following passage. Summarize the main idea and the main point(s) of the passage in no more than 60 words. Use your own words as far as possible.Becoming an attractive employeeThe 2008 financial crisis created an unstable job market. Fast-forward to the present, and the economy has not fully recovered. Thus, it’s of vital importance for job seekers to carefully strategize their approach to job application. And it is especially important for those new to the workforce. They should look at making themselves as attractive as possible to employers.For young people, information technology skills will play an increasing role in the future As the generation to have grown up in the Information Age, they are quite confident when it comes to showing off their interests and skills in this field. This makes them a natural fit for companies seeking expertise in technology, marketing, and networking. They should emphasize these skills when applying for jobs that require the ability to multitask.Another attractive quality is experience. It is important that an applicant’s resume list any activities that involved teamwork and goal-driven responsibilities. Membership in a sports or social club and participation as a volunteer are good examples of this. These activities involve goal management and planning, along with the ability to focus while competing on a team. When hiring committees see this, they see a candidate who is capable of working in a variety of environments.Finally, an attractive quality when job-hunting is a great attitude toward a potential job. Young job seekers are known to be overconfident because they have been praised for everything they have done. But they must realize that the employment market is about how an employee will be a good fit for a company, not the other way around. In fact, in an interview, an important question to ask is: “What would be expected of me as an employee?”In today’s tough job market. young job seekers need to provide a potential employer with good reasons to hire them.IV. TranslationDirections: Translate the following sentences into English, using the words given in the brackets.1.焦虑会影响孩子在学校的表现。

高二数学上册第一次月考调研检测题

高二数学上册第一次月考调研检测题高中最重要的阶段，大家一定要掌握好高中，多做题，多练习，为高考奋战，小编为大家整理了高二数学上册第一次月考调研检测题，希望对大家有协助。

一、选择题1、抛物线的焦点坐标是A. B. C. D.2、假定椭圆上一点到椭圆一个焦点的距离为，那么点到另一个焦点的距离为A. B. C. D.3、圆：的圆心坐标为，半径为，那么区分为A. B. C. D.4、过点且与抛物线只要一个公共点的直线有A. B. C. D.5、是双曲线上的一点，双曲线的一条渐近线方程为，，区分是双曲线的左、右焦点。

假定那么等于A. B. C. D.6、过抛物线的焦点作直线交抛物线于两点，假设，那么=A. B. C. D.7、下面的图形可以构成正方体的是A B C D8、过椭圆的左焦点作轴的垂线交椭圆于点P, 为右焦点，假定，那么椭圆的离心率为A. B. C. D.9、、区分为椭圆的左、右焦点，点P在椭圆上，是面积为的正三角形，那么的值是A. B. C.2D.10、图1是由图2中的哪个平面图旋转而失掉的是二、填空题11、假定椭圆的焦距是，那么 _____________;12、假定双曲线的渐近线方程为，那么双曲线的离心率为_____________;13、抛物线的准线方程是，那么抛物线的规范方程是_____________;14、如图，，区分是正方体的面和面的中心，那么四边形在该正方体的面上的正投影(投射线垂直于投影面的投影)能够是_____________;(把一切能够图形的序号都填上)查字典数学网小编为大家整理了高二数学上册第一次月考调研检测题，希望对大家有所协助。