基础知识默写
1.attack vt.& n.袭击；攻击→attacker n.攻击者
2.frightening adj.吓人的→frightened adj.受惊吓的→frighten v.使惊恐；恐吓→fright n.害怕
3.exist vi.存在→existence n.存在→existing adj.现存的
4.sharp adj.锋利的；尖的；敏锐的→sharpen v.(使)变得锋利；加强；使尖锐
5.claim vt.声称
6.surface n.表面；水面
7.calm adj.平静的v.(使)平静；(使)镇静→calmly adv.平静地
8.unlikely adj.不可能的→likely(反)adj.可能的
9.cover vt.占地(多大面积)；覆盖，足够支付，行走(一段路程)，报道n.封皮
10.adapt vi.适应；适合；改编→adaptation n.适应；改编(本)
11.disappear vi.不见；消失→disappearance n.消失→appear(反)vi.出现→appearance n.出现；外观
12.fierce adj.凶猛的；残暴的→fiercely adv.凶猛地
13.destruction n.毁坏→destroy v.毁坏，摧毁→destructive adj.毁灭性的；破坏性的
14.generous adj.有雅量的；大方的；心地高尚的→generosity n.慷慨；大方
15.positive adj.正面的；积极的；肯定的→negative(反)adj.负面的；消极的；否定的
16.reputation n.名誉；名声
17.border n.边境；国界
18.indicate vt.象征；暗示→indication n.象征；表明→indicator n.指示器；指示信号
19.fortune n.运气；命运；财富→fortunate adj.幸运的→fortunately adv.幸运地
20.footprint n.脚印；足迹
21.creature n.动物；生物
22.journal n.杂志；学报；期刊→journalism n.新闻业→journalist n.新闻记者
23.identity n.身份；特性→identify vt.确认；辨别；鉴定→identification n.确认；身份证明
24.mysterious adj.神秘的→mystery n.谜
25.extinct adj.绝种的；消亡了的→extinction n.消失；灭绝
26.sceptical adj.怀疑的；不相信的
27.myth n.神话；神话故事
28.close to靠近
29.be sceptical about对……怀疑
30.be related to 与……有关
31.adapt to适应
32.die out灭绝
33.cut off切断
34.throw light on/upon 阐明某事；帮助弄清楚
https://www.doczj.com/doc/1b10487257.html,e straight to the point谈正题；开门见山
36.go for袭击；抨击；适用于；选择；喜欢；努力争取
37.due to由于
38.He claims to have seen a round black creature moving quickly through the water.
他声称看见过一个黑黑的、圆圆的东西在水中快速游动。
39.There have been reports of monsters in Lake Tianchi since the beginning of the last century，although no one has seen one close up.
自上世纪初以来，一直就有关于天池怪物的报道，尽管还不曾有人近距离地目睹过。
40.They say that the low-temperature lake is unlikely to be able to support such large living creatures.
他们说，温度低的湖中不可能存活如此大的生物。
活页练(二十一) A (2011·大纲全国卷·C) Student Membership—Cambridge Arts Cinema Cambridge Arts Cinema is one of the art houses in Britain and home of the internationally celebrated Cambridge Film Festival．Since 1947 generations of students have discovered the 1．Which of the following is the most famous event held at Cambridge Arts Cinema? A．The Cambridge Film Festival． B．Meetings with film-makers． C．The preview screening． D．Monthly premieres． 2．If you’re a member of Cambridge Arts Cinema，you will enjoy free ________． A．Darkroom Gallery shows B．mailed programmes C．special film events D．film shows
3．How long will the membership for Cambridge Arts Cinema last? A．Four months．B．Eight months． C．Nine months．D．One year． 4．For what purpose is the text written? A．Offering students cheaper tickets． B．Announcing the opening of a premiere． C．Telling the public of the cinema’s address． D．Increasing the cinema’s membership． 211工程(优秀生选做题) 2．vocabulary： (1)make the most of＝________________________________充分利用 take ________ of利用 (2)What does the underlined word “it” in Para．1 refer to? ________________________________________________________________________ 1．How can you return your form? ________________________________________________________________________ 1．As a member，can you get ￡1 off the standard prices for special events? ________________________________________________________________________ B (2011·广东卷·D)In a world with limited land，water and other natural resources(资源)，the harm from the traditional business model is on the rise．Actually，the past decade has seen more and more forests disappearing and the globe becoming increasingly warm．People now realize that this unhealthy situation must be changed，and that we must be able to develop in sustainable(可持续的)ways．That means growth with low carbon or development of sustainable products．In other words，we should keep the earth healthy while using its supply of natural resources．Today，sustainable development is a popular trend in many countries．According to a recent study，the global market for low-carbon energy will become three times bigger over the next decade．China，for example，has set its mind on leading that market，hoping to seize chances in the new round of the global energy resolution．It is now trying hard to make full use of wind and solar energy，and is spending a huge amount of money making electric cars and high-speed trains．In addition，we are also seeing great growth in the global markets for sustainable products such as palm oil(棕榈油)，which is produced without cutting down valuable rainforest．In recent years the markets for sustainable products have grown more than 50%． Governments can fully develop the potential of these new markets．First，they can set high targets for reducing carbon emissions(排放) and targets for saving and reusing energy．Besides，stronger arrangement of public resources like forests can also help to speed up the development．Finally，governments can avoid the huge public expenses that are taking us in the
Module 1 Basketball Ⅰ.单项填空 1．—Our family are traveling to Tsingdao for the Beer Festival. —________！ A．Congratulations B．See you later C．Have fun D．Take care 答案 C [考查交际用语。句意为：——我们一家将去青岛参加啤酒节。——祝你们玩得开心！have fun玩得开心，用来祝愿别人。] 2．Happy people don’t necess arily have the best things；they____everything that comes their way. A．get the hang of B．think little of C．make the most of D．take possession of 答案 C [考查动词词组辨析。A项的意思是“掌握……的要领”；B项的意思是“不把……当一回事”；C项的意思是“充分利用”；D项的意思是“取得”。句意为：快乐的人未必拥有最好的东西，他们只是充分利用了自己所遇到的一切。根据句意可知，C当选。] 3．Many workers are getting into________trouble because the current situation of the factory is bad.In other words，it is hard for them to make________living. A．the；a B．/；a C．the；the D．/；the 答案 B [get into trouble意为“陷入困境”，make a living意为“谋生”，二者都是固定搭配。] 4．This is the first time that a woman________to the post of sales director in this company. A．has appointed B．had been appointed C．has been appointed D．had appointed 答案 C [在This is the first time that...句型中，从句常用现在完成时，且appoint woman之间为动宾关系，故选C。] 5．In order to________the development of the west of our country，many special policies have been made，such as encouraging people to go to work in the west. A．accelerate B．accomplish C．acknowledge D．accompany 答案 A [考查动词辨析。句意为：为了加快西部地区的发展，我们国家制定特殊政策，例如鼓励人们去西部工作。accelerate vt.加速，促进，符合句意。] 6．It’s________of him to set his aim high but do little，so he is always leaving things undone. A．controversial B．typical C．conventional D．evident 答案 B [句型it is typical of sb.to do sth.意为“做某事是某人常有的事”。controversial有争议的；conventional传统的；evident明显的。] 7．John is now working as an interpreter because he________an unusual ability to learn languages quickly. A．performs B．possesses C．observes D．supports
选修4－5不等式选讲 1．两个实数大小关系的基本事实 a>b?________；a＝b?________；a
5．基本不等式 (1)定理：如果a ，b ∈R ，那么a 2＋b 2≥2ab ，当且仅当a ＝b 时，等号成立． (2)定理(基本不等式)：如果a ，b >0，那么a ＋b 2________ab ，当且仅当________时，等号成 立．也可以表述为：两个________的算术平均________________它们的几何平均． (3)利用基本不等式求最值 对两个正实数x ，y ， ①如果它们的和S 是定值，则当且仅当________时，它们的积P 取得最________值； ②如果它们的积P 是定值，则当且仅当________时，它们的和S 取得最________值． 6．三个正数的算术—几何平均不等式 (1)定理 如果a ，b ，c 均为正数，那么a ＋b ＋c 3________3 abc ，当且仅当________时，等号 成立． 即三个正数的算术平均____________它们的几何平均． (2)基本不等式的推广 对于n 个正数a 1，a 2，…，a n ，它们的算术平均__________它们的几何平均，即 a 1＋a 2＋…＋a n n ________n a 1a 2…a n ， 当且仅当________________时，等号成立． 7．柯西不等式 (1)设a ，b ，c ，d 均为实数，则(a 2＋b 2)(c 2＋d 2)≥(ac ＋bd )2，当且仅当ad ＝bc 时等号成立． (2)设a 1，a 2，a 3，…，a n ，b 1，b 2，b 3，…，b n 是实数，则(a 21＋a 22＋…＋a 2n )(b 21＋b 22＋…＋b 2 n )≥(a 1b 1 ＋a 2b 2＋…＋a n b n )2，当且仅当b i ＝0(i ＝1,2，…，n )或存在一个数k ，使得a i ＝kb i (i ＝1,2，…，n )时，等号成立． (3)柯西不等式的向量形式：设α，β是两个向量，则|α·β|≤|α||β|，当且仅当β是零向量，或存在实数k ，使α＝k β时，等号成立． 8．证明不等式的方法 (1)比较法 ①求差比较法 知道a >b ?a －b >0，a b ，只要证明________即可，这种方法称为求差比较法． ②求商比较法 由a >b >0?a b >1且a >0，b >0，因此当a >0，b >0时要证明a >b ，只要证明________即可，这 种方法称为求商比较法．
活页练(三十二) 1书面表达 请以“诚实、诚信”为话题，写一篇英语短文。要求如下： 1．生活中确实存在不讲“诚信”的现象； 2．举一例说明(如：有毒奶粉、冒名顶替上大学、考试作弊等)； 3．讲究“诚信”的意义。 注意：词数100左右。 ________________________________________________________________________ ________________________________________________________________________ ________________________________________________________________________ ________________________________________________________________________ ________________________________________________________________________ ________________________________________________________________________ ________________________________________________________________________ ________________________________________________________________________ ________________________________________________________________________ ________________________________________________________________________ ________________________________________________________________________ ________________________________________________________________________ ________________________________________________________________________ ________________________________________________________________________ ________________________________________________________________________
选修4－4 坐标系与参数方程 1．极坐标系 (1)极坐标系的建立：在平面上取一个定点O ，叫做________，从O 点引一条射线Ox ，叫做________，再选定一个长度单位、一个角度单位(通常取弧度)及其正方向(通常取逆时针方向)，这样就确定了一个极坐标系． 设M 是平面内一点，极点O 与点M 的距离OM 叫做点M 的________，记为ρ，以极轴Ox 为始边，射线OM 为终边的角叫做点M 的极角，记为θ.有序数对(ρ，θ)叫做点M 的极坐标，记作M (ρ，θ)． (2)极坐标与直角坐标的关系：把直角坐标系的原点作为极点，x 轴的正半轴作为极轴，并在两种坐标系中取相同的长度单位，设M 是平面内任意一点，它的直角坐标是(x ，y )，极坐标为(ρ，θ)，则它们之间的关系为x ＝______，y ＝________. 另一种关系为ρ2＝________，tan θ＝________. 2．简单曲线的极坐标方程 (1)直线的极坐标方程 θ＝α (ρ∈R )表示过极点且与极轴成α角的直线； ρcos θ＝a 表示过(a,0)且垂直于极轴的直线； ρsin θ＝b 表示过??? ?b ，π 2且平行于极轴的直线； ρsin(α－θ)＝ρ1sin(α－θ1)表示过(ρ1，θ1)且与极轴成α角的直线方程． (2)圆的极坐标方程 ρ＝2r cos θ表示圆心在(r,0)，半径为|r |的圆； ρ＝2r sin θ表示圆心在????r ，π 2，半径为|r |的圆； ρ＝r 表示圆心在极点，半径为|r |的圆． 3．曲线的参数方程
在平面直角坐标系xOy 中，如果曲线上任意一点的坐标x ，y 都是某个变量t 的函数? ???? x ＝f (t )， y ＝g (t ). 并且对于t 的每一个允许值上式所确定的点M (x ，y )都在这条曲线上，则称上式为该曲线的________________，其中变量t 称为________． 4．一些常见曲线的参数方程 (1)过点P 0(x 0，y 0)，且倾斜角为α的直线的参数方程为________________(t 为参数)． (2)圆的方程(x －a )2＋(y －b )2＝r 2的参数方程为________________________(θ为参数)． (3)椭圆方程x 2a 2＋y 2 b 2＝1(a >b >0)的参数方程为________________(θ为参数)． (4)抛物线方程y 2＝2px (p >0)的参数方程为________________(t 为参数)． 1．在极坐标系中，直线ρsin(θ＋π 4 )＝2被圆ρ＝4截得的弦长为________． 2．极坐标方程ρ＝sin θ＋2cos θ能表示的曲线的直角坐标方程为____________________． 3．已知点P (3，m )在以点F 为焦点的抛物线? ???? x ＝4t 2 ， y ＝4t (t 为参数)上，则PF ＝________. 4．直线? ???? x ＝－1＋t sin 40° ，y ＝3＋t cos 40°(t 为参数)的倾斜角为________． 5．已知曲线C 的参数方程是? ???? x ＝3t ， y ＝2t 2 ＋1(t 为参数)．则点M 1(0,1)，M 2(5,4)在曲线C 上的是________． 题型一 极坐标与直角坐标的互化 例1 在直角坐标系xOy 中，以O 为极点，x 轴正半轴为极轴建立极坐标系．曲线C 的极坐标方程为ρcos(θ－π 3)＝1，M ，N 分别为C 与x 轴、y 轴的交点． (1)写出C 的直角坐标方程，并求M 、N 的极坐标；
Book 6 Unit 1 Art Ⅰ.单项填空 1．—How’s your tour around the North Lake？Is it beautiful? —It________ be，but it is now heavily polluted. A．will B．would C．should D．must 2．The poor mother，who had been ill in bed，had to have her little son ________ at his uncle’s. A．adapted B．adopted C．adjusted D．applied 3．—Of the two apples，which one do you prefer? —________ bigger one.It’s ________ most delicious one，I think. A．The；a B．The；the C．A；/ D．A；the 4．It is________ of him to be so gentle just like a girl. A．traditional B．typical C．technical D．tolerable 5．Shelly had prepared carefully for her driving test so that she could pass it at her first________. A．attempt B．intention C．desire D．purpose 6．—Can you show me Mr.Jaffer’s office，please? —________.But I don’t know if he is in at the moment. A．Thanks B．Go on C．Sure D．You are welcome 7．The car Tom was________ was once________ his uncle. A．in possession of；in the possession of B．in the possession of；in possession of C．in possession of；in possession of D．in the possession of；in the possession of 8．This disease is specific________ this area.It hasn’t been found in other areas. A．for B．to C．about D．over 9．If I________ plan to do anything I want to，I’d like to go to Tibet and travel through as much of it as possible. A．would B．could C．ought to D．had to 10．The design ________ to all ages and social groups. A．attracted B．appealed C．struck D．drew
第十二章 推理证明、算法初步、复数 第1讲 归纳与类比一、选择题 1．观察下列事实：|x |＋|y |＝1的不同整数解(x ，y )的个数为4，|x |＋|y |＝2的不同整数解(x ，y )的个数为8，|x |＋|y |＝3的不同整数解(x ，y )的个数为12，…，则|x |＋|y |＝20的不同整数解(x ，y )的个数为 ( )． A ．76 B ．80 C ．86 D ．92解析 由|x |＋|y |＝1的不同整数解的个数为4，|x |＋|y |＝2的不同整数解的个数为8，|x |＋|y |＝3的不同整数解的个数为12，归纳推理得|x |＋|y |＝n 的不同整数解的个数为4n ，故|x |＋|y |＝20的不同整数解的个数为80.故选B.答案 B 2．古希腊人常用小石子在沙滩上摆成各种形状来研究数．比如：他们研究过图1中的1,3,6,10，…，由于这些数能够表示成三角形，将其称为三角形数；类似地，称图2中的1,4,9,16，…，这样的数为正方形数．下列数中既是三角形数又是正方形数的是 ( )．A ．289 B ．1 024C ．1 225 D ．1 378解析 观察三角形数：1,3,6,10，…，记该数列为{a n }，则a 1＝1，a 2＝a 1＋2，a 3＝a 2＋3，…，a n ＝a n －1＋n .∴a 1＋a 2＋…＋a n ＝(a 1＋a 2＋…、管路敷设技术通过管线敷设技术，不仅可以解决吊顶层配置不规范问题，而且可保障各类管路习题到位。在管路敷设过程中，要加强看护关于管路高中资料试卷连接管口处理高中资料试卷弯扁度固定盒位置保护层防腐跨接地线弯曲半径标高等，要求技术交底。管线敷设技术中包含线槽、管架等多项方式，为解决高中语文电气课件中管壁薄、接口不严等问题，合理利用管线敷设技术。线缆敷设原则：在分线盒处，当不同电压回路交叉时，应采用金属隔板进行隔开处理；同一线槽内，强电回路须同时切断习题电源，线缆敷设完毕，要进行检查和检测处理。、电气课件中调试对全部高中资料试卷电气设备，在安装过程中以及安装结束后进行高中资料试卷调整试验；通电检查所有设备高中资料试卷相互作用与相互关系，根据生产工艺高中资料试卷要求，对电气设备进行空载与带负荷下高中资料试卷调控试验；对设备进行调整使其在正常工况下与过度工作下都可以正常工作；对于继电保护进行整核对定值，审核与校对图纸，编写复杂设备与装置高中资料试卷调试方案，编写重要设备高中资料试卷试验方案以及系统启动方案；对整套启动过程中高中资料试卷电气设备进行调试工作并且进行过关运行高中资料试卷技术指导。对于调试过程中高中资料试卷技术问题，作为调试人员，需要在事前掌握图纸资料、设备制造厂家出具高中资料试卷试验报告与相关技术资料，并且了解现场设备高中资料试卷布置情况与有关高中资料试卷电气系统接线等情况，然后根据规范与规程规定，制定设备调试高中资料试卷方案。 、电气设备调试高中资料试卷技术电力保护装置调试技术，电力保护高中资料试卷配置技术是指机组在进行继电保护高中资料试卷总体配置时，需要在最大限度内来确保机组高中资料试卷安全，并且尽可能地缩小故障高中资料试卷破坏范围，或者对某些异常高中资料试卷工况进行自动处理，尤其要避免错误高中资料试卷保护装置动作，并且拒绝动作，来避免不必要高中资料试卷突然停机。因此，电力高中资料试卷保护装置调试技术，要求电力保护装置做到准确灵活。对于差动保护装置高中资料试卷调试技术是指发电机一变压器组在发生内部故障时，需要进行外部电源高中资料试卷切除从而采用高中资料试卷主要保护装置。
精研真题模拟演练 A (2015·全国Ⅰ) Building Trust in a Relationship Again Trust is a learned behavior that we gain from past experiences. 36 Trust is a risk.But you can’t be successful when there’s a lack of trust in a relationship that results from an action where the wrongdoer takes no responsibility to fix the mistake. Unfortunately，we’ve all been victims of betrayal.Whether we’ve been stolen from，lied to，misled，or cheated on，there are different levels of losing trust.Sometimes people simply can’t trust anymore. 37 It’s understandable，but if you’re willing to build trust in a relationship again，we have some steps you can take to get you there. ? 38 Having confidence in yourself will help you make better choices because you can see what the best outcome would be for your well-being. ? 39 If you’ve been betrayed，you are the victim of your circumstance.But there’s a difference between being a victim and living with a “victim mentality”．At some point in all of our lives，we’ll have our trust tested or violated. ?You didn’t lose “everything”．Once trust is lost，what is left? Instead of looking at the situation from this hopeless angle，look at everything you still have and be thankful for all of the good in your life. 40 Instead，it’s a healthy way to work through the experie nce to allow room for positive growth and forgiveness. A．Learn to really trust yourself. B．It is putting confidence in someone. C．Stop regarding yourself as the victim. D．Remember that you can expect the best in return. E．They’ve been too badly hurt and they can’t bear to let it happen again. F．This knowledge carries over in their attitude toward their future relationships. G．Seeing the positive side of things doesn’t mean you’re ignoring what happened. 语篇解读本文是一篇议论文。主要介绍了人们在遭受背叛和欺骗后如何重建信任。 36．答案 B 解析文章第一句“Trust is a learned behavior that we gain from past experiences.(信任是我们
[话题解读]“旅游与交通”是高中新课程标准24话题之一，该话题包括交通运输方式、国内 外旅游、交通规则、指路与问路、咨询与预订食宿、行程描述等方面。这些话题与学生的日常生 活关系密切。高考英语通过这些话题让学生了解旅游与交通的相关知识，培养学生热爱生活的健 康情操。 [高考探究]“旅游与交通”这个话题常与阅读理解、完形填空、七选五、语法填空等相结合进 行考查，分值所占比重较高。例如2016年全国卷Ⅱ阅读理解D篇；2016全国卷Ⅰ语法填空；2014年新课标全国卷Ⅱ完形填空；2014年安徽卷完形填空；2010四川卷完形填空等。 假设你是河南某旅行社业务营销主管李华，你的新西兰笔友Nick将于十月来中国旅游，特来信 询问有关旅游景点情况。请你根据以下信息，写一封回信，向Nick介绍该套时尚旅游产品。 下面是一套时尚旅游产品——“中原现代化新型农村游”的情况。 话题佳作 景点特色·避开城市喧闹，享受田园风光； ·新农村的住房以及娱乐设施(咖啡厅、酒吧、自由降落等)； ·提供农家食宿服务及家庭生活设备(汽车、游泳池、计算机、家用电器等)。 相关信息气候适宜，交通方便 参考词汇：娱乐、消遣的recreational；家用电器electrical household appliances 佳作欣赏 Dear Nick，
I’m glad to hear that you’re traveling to Henan Province in October.Now，I’d like to tell you something about a set of fashionable tourism products called “A visit to the Zhongyuan modern villages”． As you know，the rural area is no longer what it used to be，so the visit to the Zhongyuan modern villages is a wise choice if you want to get away from the noisy city and enjoy a great view of the country scenery.Entering the village，you’ll find numbers of newly-built cottages and many recreational attractions such as pleasant cafes，lively bars and exciting free falls.Here you’ll be offered a “rural homestay”service and can even share cars，swimming pools，computers and many electrical household appliances as well.Besides，the nice weather and convenient transportation here can make your trip more enjoyable. I’m looking forward to your coming. Yours sincerely， Li Hua 名师点睛 本文思路清晰，语言准确。在行文过程中，宾语从句、表语从句、条件状语从句、过去分词短语 作定语、现在分词短语作状语，“make＋宾语＋宾补”等高级句式及结构和诸如as you know，no longer，get away from，enjoy a great view of，such as，as well，besides等高级词汇运用得恰到 好处，使文章亮点纷呈。 Ⅰ.写作必记单词 1．attract v t.吸引；引起→attractive adj.吸引人的，有魅力的→attraction n．吸引力；具有吸引力 的事物或人 2．block vt.阻塞；阻挡 3．book vt.预订；预约 4．delay vi.& n．拖延，延误，延期；耽搁 5．disadvantage n．不利条件；弱点 6．reserve v t.预订；保留→reservation n．预订；保留意见→reserved adj.预订的，保留的
§5.4复数
1．复数的有关概念 (1)定义：我们把集合C ＝{a ＋b i|a ，b ∈R }中的数，即形如a ＋b i(a ，b ∈R )的数叫做复数，其中a 叫做复数z 的实部，b 叫做复数z 的虚部(i 为虚数单位)． (2)分类： (3)复数相等：a ＋b i ＝c ＋d i ?a ＝c 且b ＝d (a ，b ，c ，d ∈R )． (4)共轭复数：a ＋b i 与c ＋d i 共轭?a ＝c ，b ＝－d (a ，b ，c ，d ∈R )． (5)模：向量OZ → 的模叫做复数z ＝a ＋b i 的模，记作|a ＋b i|或|z |，即|z |＝|a ＋b i|＝a 2＋b 2(a ，b ∈R )． 2．复数的几何意义 复数z ＝a ＋b i 与复平面内的点Z (a ，b )及平面向量OZ → ＝(a ，b )(a ，b ∈R )是一一对应关系． 3．复数的运算 (1)运算法则：设z 1＝a ＋b i ，z 2＝c ＋d i ，a ，b ，c ，d ∈R .
(2)几何意义：复数加减法可按向量的平行四边形或三角形法则进行． 如图给出的平行四边形OZ 1ZZ 2可以直观地反映出复数加减法的几何意义，即OZ →＝OZ 1→＋OZ 2→ ，Z 1Z 2→＝OZ 2→－OZ 1→.
概念方法微思考 1．复数a＋b i的实部为a，虚部为b吗？ 提示不一定．只有当a，b∈R时，a才是实部，b才是虚部． 2．如何理解复数的加法、减法的几何意义？ 提示复数的加法、减法的几何意义就是向量加法、减法的平行四边形法则．
题组一 思考辨析 1．判断下列结论是否正确(请在括号中打“√”或“×”) (1)复数z ＝a ＋b i(a ，b ∈R )中，虚部为b i.( × ) (2)复数中有相等复数的概念，因此复数可以比较大小．( × ) (3)复平面中原点是实轴与虚轴的交点．( √ ) (4)复数的模实质上就是复平面内复数对应的点到原点的距离，也就是复数对应的向量的模．( √ ) 题组二 教材改编 2．若复数z ＝(x 2－1)＋(x －1)i 为纯虚数，则实数x 的值为( ) A ．－1 B ．0 C ．1 D ．－1或1 答案 A 解析 ∵z 为纯虚数，∴????? x 2－1＝0， x －1≠0， ∴x ＝－1. 3．在复平面内，向量AB →对应的复数是2＋i ，向量CB →对应的复数是－1－3i ，则向量CA → 对应的复数是( ) A ．1－2i B ．－1＋2i C ．3＋4i D ．－3－4i 答案 D 解析 CA →＝CB →＋BA → ＝－1－3i ＋(－2－i)＝－3－4i. 4．若复数z 满足()3＋4i z ＝1－i(i 是虚数单位)，则复数z 的共轭复数z 等于( ) A ．－15－75 i B ．－15＋75 i
活页练(二十二) 单项填空＋阅读理解＋短文填词 Ⅰ.单项填空 1．—________ made Daisy wild with joy? —Her success in the A-level exam this year. A．How was it that B．When was it that C．Why was it that D．What was it that 答案 D 解析考查强调句型的特殊疑问句形式。此处强调主语成分“Her success in the A-level exam this year.”，相当于问句中的what。 2．—You should have thanked her before you left. —I meant________.But when I was leaving I couldn’t find her anywhere. A．to do B．to C．doing D．doing so 答案 B 解析本句中的meant意思是“本来打算”其后应该使用不定式。当与want，wish，hope，like，hate，try，have，ought，used，need，be able，be going，be glad，mean等连用时， to代替不定式结构以避免重复。 3．I________the hobby of fishing as a child. A．built up B．set up C．kept up D．took up 答案 D 解析考查动词短语辨析。build up意为“树立，逐步建立”；set up意为“树立(榜样)；创立；建立”；keep up意为“坚持；继续；使不低落”； take up意为“从事； 开始做，学着做”。 4．The poet and________pianist is going to give us a talk this afternoon. A．a B．the C．/ D．an 答案 C 解析当and并列的是同一事物、同一人或同一概念时，其后面的名词前不用冠词。若在pianist前加the，则是指the poet和the pianist两个人，而题目中的the poet and pianist是指一个人，即这个人既是诗人又是钢琴家。 5．—Hold the ladder for me! —That’s________.