浙江省2018年1月高等教育自学考试
现代语言学试题
课程代码：00830
一、单项选择题(在每小题的四个备选答案中，选出一个正确答案，并将正确答案的序号填在题干的括号内。每小题2分，共20分)
1.______ is NOT a design feature of human language. ( )
A. Cultural transmission
B. Displacement
C. Duality of structure
D. Prescriptivism
2. Vibration of the vocal cords results in ______. ( )
A. aspiration
B.nasality
C. obstruction
D. voicing
3. The word “simplifications”has ______ morphemes in it. ( )
A. 2
B. 3
C. 4
D. 5
4. “We vowed to fight on until all our demands were met”is a sentence. ( )
A. coordinate
B. complex
C. compound
D.simple
5. The relationship between “fruit”and “apple”is ______. ( )
A. homonymy
B. hyponymy
C. polysemy
D. synonymy
6. “Interviewer”and “interviewee”are a pair of ______ opposites. ( )
A. complementary
B. gradable
C. complete
D. relational
7. The maxim of ______ requires that a participant's contr
ibution be relevant to the conversation. ( )
A. quantity
B. quality
C. relation
D. manner
8. The regular consonant changes found among cognates in the Germanic languages were known as ______Law. ( )
A. Bopp's
B. Grimm's
C. Jones'
D. Rask's
9. When a ______ comes to be adopted by a population as its primary language and children learn it as their first language, it becomes . ( )
A. creole... pidgin
B. pidgin... creole
C. regional dialect...lingua franca
D. lingua franca...regional dialect
10. A child who knows the general plural form may apply the rule to irregular nouns and produce “foots”. This is called ______. ( )
A. assimilation
B. transfer
C. overgeneralization
D. underextension
二、填空题(在下列空格中填上以给出字母开始的恰当的单词。每空1分，共16分)
1. In F. de Saussure's dichotomy, l______ refers to the abstract linguistic system shared by all the members of a speech community; p is its realization in actual use.
2. Language is a system of a______ vocal symbols for human communication.
3. M______ studies how words are formed, while s studies how words are combined to form sentences.
4. In the study of meaning, s______ is only concerned with relations between linguistic elements; r______ deals with the relationship between the linguistic element and non linguistic world of experience.
5. Conversational i______ may arise as a result of a speaker's violation of the cooperational principle.
6. S______ are varieties of languages used by people belonging to particular social classes; e______ dialect is spoken mainly by a less privileged social class; i______ is a personal dialect.
7. In the second language acquisition, there is supposed to be a c period, which lasts from age two to puberty.
8. The localization of cognitive and perceptual function in a particular hemisphere of the brain is called l______.
9. A learner has i______ motivation when he learns a second language in order to use it functionally, while i______ motivation occurs when the learner's goal is social.
10. I______ is an approximate language system that a second language learner constructs, which represents the learner's transitional competence in the target language.
三、判断改错题(判断下列各小题，正确的在题后括号内打“T”，错的打“F”，并改正。每小题2分，共20分。)
1. Synchronic study describes language as it changes through time. ( )
2. Monosyllabic words can also have word stress. ( )
3. All affixes are bound morphemes. ( )
4. “He saw a child”entails “He saw a girl”. ( )
5. In pragmatics, utterance meaning is concrete and context independent .( )
6. Only sociological factors contribute to language change. ( )
7. The word UN is an abbreviation, while TV is an acronym. ( )
8. Euphemisms may serve as substitutes for taboo words. ( )
9. The strong version of the Sapir-Whorf hypothesis proposes that language determine thought. ( )
10. Interference from one's first language may occur at all levels of grammar. ( )
四、名词解释(并至少举一例加以说明。每小题4分，共24分)
1. derivational morpheme
2. stylistic synonyms
3. illocutionary act
4. blending
5. standard language
6. telegraphic speech
五、论述题（每小题10分，共20分）
1.Tell the difference between phone, phoneme and allophone.
2.For each of the following two sentences, draw a tree diagram of its underlying structure that will reveal the difference in the relationship between John and please.
1)John is eager to please.
2)John is easy to please .
高考大题之解析几何 1.如图，椭圆C ：22221x y a b +=(a >b >0)的离心率e =3 5 ，左焦点为F ，A ，B ，C 为其三个顶 点，直线CF 与AB 交于点D ，若△ADC 的面积为15． (Ⅰ)求椭圆C 的方程； (Ⅱ)是否存在分别以AD ，AC 为弦的两个相外切的等圆？ 若存在，求出这两个圆的圆心坐标；若不存在，请说明理由． 解：(Ⅰ)设左焦点F 的坐标为(-c ，0)，其中c =22a b -， ∵e = 35c a =，∴a =5 3 c ，b =43c ． ∴A (0，43c )，B (-5 3c ，0)，C (0，-43c )， ∴AB ：33154x y c c -+=，CF ：314x y c c --=， 联立解得D 点的坐标为(-54c ，1 3c )． ∵△ADC 的面积为15，∴12|x D |·|AC |=15，即12·54c ·2·4 3 c =15， 解得c =3，∴a =5，b =4，∴椭圆C 的方程为22 12516 x y +=． (Ⅱ)由(Ⅰ)知，A 点的坐标为(0，4)，D 点的坐标为(-15 4 ，1)． 假设存在这样的两个圆M 与圆N ，其中AD 是圆M 的弦，AC 是圆N 的弦， 则点M 在线段AD 的垂直平分线上，点N 在线段AC 的垂直平分线y =0上． 当圆M 和圆N 是两个相外切的等圆时，一定有A ，M ，N 在一条直线上，且AM =AN ． ∴M 、N 关于点A 对称，设M (x 1，y 1)，则N (-x 1，8-y 1)， 根据点N 在直线y =0上，∴y 1=8．∴M (x 1，8)，N (-x 1，0)， 而点M 在线段AD 的垂直平分线y -52=-54(x +158)上，可求得x 1=-251 40 . 故存在这样的两个圆，且这两个圆的圆心坐标分别为 M (-25140，8)，N (25140 ，0)． 2.如图，椭圆22 221(0)x y a b a b +=>>的左焦点为F ，过点F 的直线交椭圆于B A ,两点， AF 的最大值为M ，BF 的最小值为m ，满足2 34 M m a ?= 。 （Ⅰ）若线段AB 垂直于x 轴时，3 2 AB = ，求椭圆的方程； （Ⅱ） 设线段AB 的中点为G ，AB 的垂直平分线与x 轴和y 轴分别交于E D ,两
全国 2018 年 1 月自学考试现代语言学试题 课程代码： 00830 I . Directions: Read each of the following statements carefully. Decide which one of the four choices best completes the statement and put the letter A, B, C, or D in the brackets. ( 2%×10=20% ) 1. The language behavior of particular persons on particular occasions is determined by many other factors over and above their linguistic ______. () A. system B. structure C. competence D. performance 2. When we pronounce the long vowels [i:] or [u:], our ______, which is a bony structure at the end of the windpipe, is in a state of tension. () A. larynx B. hard palate C. glottis D. vocal cords 3. The word “ manuscript ” is a two-morpheme cluster which contains ______. () A. two roots B. a root and a prefix C. a root and a suffix D. a root and a free morpheme 4. The grammatical knowledge is represented through Phrase Structure Rules,which state explicitly all and only the possible combinations of the ______ of a language, for example, in English, NP→ ( Det ) (Adj) N (PP) (S).) A. phrases B. clauses C. sentences D. constituents 5. The view that the meaning of a linguistic form is defined as the“ situation in which the speaker utters it and the response it calls forth in the hearer ” was proposed by ______. () A. Plato B. Ogden and Richards C. John Firth D. Bloomfield 6. According to John Austin's theory of speech act, a(n) ______ act is the change brought about by the utterance. () 1
2005-2017年浙江高考理科数学历年真题之解析几何大题 （教师版） 1、（2005年）如图，已知椭圆的中心在坐标原点，焦点12,F F 在x 轴上，长轴12A A 的长为4，左准线l 与x 轴的交点为M ，|MA 1|∶|A 1F 1|＝2∶1． (Ⅰ)求椭圆的方程； (Ⅱ)若直线1l ：x ＝m (|m |＞1)，P 为1l 上的动点，使12F PF ∠ 最大的点P 记为Q ，求点Q 的坐标(用m 表示)． 解析：(Ⅰ)设椭圆方程为()22 2210x y a b a b +=>>，半焦距为c ， 则2111,a MA a A F a c c =-=- ，()2 222 224 a a a c c a a b c ?-=-??? =??=+???由题意,得 2,1a b c ∴=== ，22 1.43 x y +=故椭圆方程为 (Ⅱ) 设()0,,||1P m y m >，当00y >时，120F PF ∠=； 当00y ≠时，22102 F PF PF M π <∠<∠<，∴只需求22tan F PF ∠的最大值即可 设直线1PF 的斜率011y k m = +，直线2PF 的斜率0 21 y k m =-， 021********||tan 11y k k F PF k k m y -∴∠= =≤=+-+ 0||y =时，12F PF ∠ 最大，(,,||1Q m m ∴> 2、（2006年）如图，椭圆b y a x 222+＝1（a ＞b ＞0）与过点A （2，0）、B(0,1)的直线有且只有一个公共点T ， 且椭圆的离心率e= 2 3。 (Ⅰ)求椭圆方程； (Ⅱ)设F 1、F 2分别为椭圆的左、右焦点，M 为线段AF 2的中点，求证：∠ATM=∠AF 1T 。
浙江高考历年真题之解析几何大题 1、（2005年）如图，已知椭圆的中心在坐标原点，焦点12,F F 在x 轴上，长轴12A A 的长为4，左准线l 与x 轴的交点为M ，|MA 1|∶|A 1F 1|＝2∶1． (Ⅰ)求椭圆的方程； (Ⅱ)若直线1l ：x ＝m (|m |＞1)，P 为1l 上的动点，使12F PF ∠ 最大的点P 记为Q ，求点Q 的坐标(用m 表示)． 解析：(Ⅰ)设椭圆方程为()22 2210x y a b a b +=>>，半焦距为c ， 则2111,a MA a A F a c c =-=- ，()2 222 224 a a a c c a a b c ?-=-??? =??=+??? 由题意,得 2,3,1a b c ∴=== ，22 1.43 x y +=故椭圆方程为 (Ⅱ) 设()0,,||1P m y m >，当00y >时，120F PF ∠=； 当00y ≠时，22102 F PF PF M π <∠<∠<，∴只需求22tan F PF ∠的最大值即可设直线1PF 的斜率011y k m = +，直线2PF 的斜率0 21 y k m =-， 002122222212002||tan 1121||1 y k k F PF k k m y m y m -∴∠= =≤= +-+-?- 2 01||m y -=时，12F PF ∠最大，(2,1,||1Q m m m ∴±->
2、（2006年）如图，椭圆b y a x 2 22+＝1（a ＞b ＞0）与过点A （2，0）、B(0,1)的直线有且只有一个公共点T ，且椭圆的 离心率e= 2 3 。 (Ⅰ)求椭圆方程； (Ⅱ)设F 1、F 2分别为椭圆的左、右焦点，M 为线段AF 2的中点，求证：∠ATM=∠AF 1T 。 解析：（Ⅰ）过 A 、B 的直线方程为 12 x y += 因为由题意得??? ????+-==+1211 2222x y b y a x 有惟一解， 即0)4 1(22222 22 =-+-+ b a a x a x a b 有惟一解, 所以22 2 2 (44)0(0),a b a b ab ?=+-=≠故442 2 -+b a =0; 又因为e 3 c =即 22234 a b a -= ， 所以2 2 4a b = ;从而得22 1 2,,2 a b == 故所求的椭圆方程为22212x y += （Ⅱ）由（Ⅰ）得6c = , 所以 1266((F F ，从而M （1+4 6 ，0） 由 ?? ???+-==+1 211222 2x y y x ，解得 121,x x == 因此1(1,)2T = 因为126tan 1-= ∠T AF ，又21 tan =∠TAM ，6 2tan =∠2TMF ，得 12 6 6 1 121 62 tan -= + -= ∠ATM ，因此，T AF ATM 1∠=∠ 3、（2007年）如图，直线y kx b =+与椭圆2 214 x y +=交于A B ，两点，记AOB △的面积为S ．
全国2018年10月自学考试现代语言学试题 课程代码：00830 I. Directions: Read each of the following statements carefully. Decide which one of the four choices best completes the statement and put the letter A, B, C, or D in the brackets. (2%×10=20% ) 1. The purpose of Chomsky’s definition is to focus attention on the purely ______ properties of language, and these properties can be studied from a mathematically precise point of view. （）A. lexical B. grammatical C. semantic D. structural 2. We refer to the limited range of sounds as the phonic medium of language and individual sounds within that range as ______.（） A. vowels B. consonants C. sounds D. speech sounds 3. A(n) ______ refers to the existing form to which a derivational affix can be added. （） A. root B. stem C. affix D. morpheme 4. All sentences in all languages can be represented by constituent structure trees, and all have syntactic rules that determine the linear order of words and their ______ structure. （）A. linear B. hierarchical C. constituent D. syntactic 5. In semantic analysis of a sentence, a(n) ______ is a logical participant in a predication, largely identical with the nominal element in a sentence. （） A. argument B. subject C. object D. predicate 6. Speaker A: Can you answer the telephone? Speaker B: I’m in the bath. Speaker B is violating the maxim of ______.（） 1
高考中解析几何的常考题型分析 一、高考定位 回顾2008,2012年的江苏高考题，解析几何是重要内容之一，所占分值在25 分左右，在高考中一般有2,3条填空题，一条解答题.填空题有针对性地考查椭圆、双曲线、抛物线的定义、标准方程和简单几何性质及其应用，主要针对圆锥曲线本身，综合性较小，试题的难度一般不大;解答题主要是以圆或椭圆为基本依托，考查椭圆方程的求解、考查直线与曲线的位置关系，除了本身知识的综合，还会与其它知识如向量、函数、不等式等知识构成综合题，多年高考压轴题是解析几何题. 二、应对策略 复习中，一要熟练掌握椭圆、双曲线、抛物线的基础知识、基本方法，在抓住通性通法的同时，要训练利用代数方法解决几何问题的运算技巧. 二要熟悉圆锥曲线的几何性质，重点掌握直线与圆锥曲线相关问题的基本求解方法与策略，提高运用函数与方程思想、向量与导数的方法来解决问题的能力. 三在第二轮复习中要熟练掌握圆锥曲线的通性通法和基本知识. 预测在2013年的高考题中: 1.填空题依然是直线和圆的方程问题以及考查圆锥曲线的几何性质为主，三种圆锥曲线都有可能涉及. 2.在解答题中可能会出现圆、直线、椭圆的综合问题，难度较高，还 有可能涉及简单的轨迹方程和解析几何中的开放题、探索题、证明题，重点关注定值问题. 三、常见题型
1.直线与圆的位置关系问题 直线与圆的位置关系是高考考查的热点，常常将直线与圆和函数、三角、向量、数列、圆锥曲线等相互交汇，求解参数、函数最值、圆的方程等，主要考查直线与圆的相交、相切、相离的判定与应用，以及弦长、面积的求法等，并常与圆的几何性质交汇，要求学生有较强的运算求解能力. 求解策略:首先，要注意理解直线和圆等基础知识及它们之间的深入联系;其次，要对问题的条件进行全方位的审视，特别是题中各个条件之间的相互关系及隐含条件的挖掘;再次，要掌握解决问题常常使用的思想方法，如数形结合、化归转化、待定系数、分类讨论等思想方法;最后，要对求解问题的过程清晰书写，准确到位. 点评:(1)直线和圆的位置关系常用几何法，即利用圆的半径r，圆心到直线的距离d及半弦长l2构成直角三角形关系来处理. (2)要注意分类讨论，即对直线l分为斜率存在和斜率不存在两种情况分别研究，以防漏解或推理不严谨. 2.圆锥曲线中的证明问题 圆锥曲线中的证明问题，主要有两类:一类是证明点、直线、曲线等几何元素中的位置关系，如:某点在某直线上、某直线经过某个点、某两条直线平行或垂直等;另一类是证明直线与圆锥曲线中的一些数量关系(相等或不等). 求解策略:主要根据直线、圆锥曲线的性质、直线与圆锥曲线的位置关系等，通过相关的性质应用、代数式的恒等变形以及必要的数值计算等进行证明. 常用的一些证明方法: 点评:本题主要考查双曲线的概念、标准方程、几何性质及其直线与双曲线的关系.特别要注意直线与双曲线的关系问题，在双曲线当中，最特殊的为等轴双曲
2016浙江精彩题选——解析几何解答题 1.（2016名校联盟第一次）19．（本题满分15分） 已知椭圆C ：22 a x ＋y 2b 2＝1(a >b >0)的左右焦点为F 1,F 2 ，离心率为e .直线l :y =ex +a 与x 轴、y 轴分别交于点A ,B 两点，M 是直线l 与椭圆C 的一个公共点，P 是点F 1关于直线 l 的对称点，设. （Ⅰ）若l = 3 4 ，求椭圆C 的离心率； （Ⅱ）若D PF 1F 2 为等腰三角形，求l 的值.
2.（2016温州一模19）．（本题满分15分）如图，已知椭圆C： 22 22 1(0) x y a b a b +=>> 经过点 ,A B分别为椭圆C的左、右顶点，N M,是椭圆C上非顶点的两点，且OMN ?的面积等于2．（Ⅰ）求椭圆C的方程； （Ⅱ）过点A作OM AP//交椭圆C于点P，求证：ON BP//． 解：（Ⅰ）由题意得： ? ? ? ? ? ? ? ? ? ? ? + = = = = + 2 2 2 2 2 2 2 2 1 ) 2 6 ( 1 c b a a c e b a ，解得： ?? ? ? ? = = 2 4 2 2 b a 故椭圆C的方程为：1 2 4 2 2 = + y x ……………………………………5分 （Ⅱ）解法一：如图所示，设直线OM,ON的方程为 OM y k x =， ON y k x = 联立方程组22 1 42 OM y k x x y = ? ? ? += ?? ，解得M, 同理可得( N,……………………………………7分作' MM x ⊥轴, ' NN x ⊥轴,',' M N是垂足, OMN S ? = '' ''OMM ONN MM N N S S S ?? -- 梯形 1 [()()] 2M N M N M M N N y y x x x y x y =+--+ 1 () 2M N N M x y x y =- 1 2 = =9分 已知 OMN S ? 2 =，化简可得 2 - = ON OM k k.……………………………………11分 设(,) P P P x y,则22 42 P P x y -=，
自学考试《现代语言学》模拟试题及答案2017 2017 年自学备考正在开展中，考生们要扎扎实实地复习，一步一步地前进，以下是搜索整理的一份《现代语言学》模拟试题及答案，供参考练习，希望对大家有所帮助!想 了解更多相关信息请持续关注我们! I .Multiple Choice Directions:Read each of the following statements carefully. Decide which one of the four choices best completes the statement and put the letter A,B,C or D in the brackets.(2% x 10=20%) 1. The pair of words “lend”and “borrow”are ___.( ) A. gradable opposites B.relational opposites C.co-hyponyms D.synonyms 2. The discovery of Indo-European language family began with the work of the British scholar .( ) A. Jacob Grimm B.Rasmus Rask C.Franz Bopp D.Sir William Jones 3. A linguist regards the changes in language and language use as __.( ) A.unusual B.something to be feared C.abnormal D.natural 4. __produce fast and fluent speech with good intonation and pronunciation but the content of their speech ranges from mildly inappropriate to complete nonsense,often as unintelligible.( ) A.Broca's aphasic B.The linguistic deprivation C.The damage on the angular gyrus D.Wernicke's aphasic 5.Some Southern learners of English in China tend to say “night ” as “light ”.This shows: .( ) A. They cannot pronounce/n/ B. Interlangue interference because there is notthe sound /n/in their mother tongue C. The teachers do not have a good teaching method D. They do not like to pronounce nasal sounds 6. A word with several meanings is called __word.( ) A.a polysemous B.a synonymous C.an abnormal D.a multiple 7. The function of the sentence “A nice day, isn't it? ” is __.( ) https://www.doczj.com/doc/c513195007.html,rmative B.phatic C.directive D.performative
1. 设抛物线22(0)y px p =>的焦点为F ，点(0,2)A .若线段FA 的中点B 在抛物线上， 则B 到该抛物线准线的距离为_____________。（3分） 2 .已知m ＞1，直线2:02m l x my --=，椭圆2 22:1x C y m +=，1,2F F 分别为椭圆C 的左、 右焦点. （Ⅰ）当直线l 过右焦点2F 时，求直线l 的方程；（Ⅱ）设直线l 与椭圆C 交于,A B 两点，12AF F V ，12BF F V 的重心分别为 ,G H .若原点O 在以线段GH 为直径的圆内，求实数m 的取值范 围.（6分） 3已知以原点O 为中心，) F 为右焦点的双曲线C 的离心率2 e = 。 （I ） 求双曲线C 的标准方程及其渐近线方程； （II ） 如题（20）图，已知过点()11,M x y 的直线111:44l x x y y +=与过点 ()22,N x y （其中2x x ≠）的直 线222:44l x x y y +=的交点E 在双曲线C 上，直线MN 与两条渐近线分别交与G 、H 两点，求OGH ?的面积。（8分）
4.如图，已知椭圆 22 22 1(0)x y a b a b +=＞＞的离心率为2，以该椭圆上的点和椭圆的左、右 焦点12,F F 为顶点的三角形的周长为1).一等轴双曲线的顶点是该椭圆的焦点，设P 为该双曲线上异于顶点的任一点，直线1PF 和2PF 与椭圆的交点分别为B A 、和C D 、. （Ⅰ）求椭圆和双曲线的标准方程；（Ⅱ）设直线1PF 、 2PF 的斜率分别为1k 、2k ，证明12·1k k =；（Ⅲ）是否存在常数λ，使得 ·A B C D A B C D λ +=恒成立？若存在，求λ的值；若不存在，请说明理由.（7分） 5.在平面直角坐标系xoy 中，如图，已知椭圆15 922=+y x
全国2006年10月高等教育自学考试 现代语言学试题 课程代码：0830 Ⅰ.Directions: Read each of the following statements carefully. Decide which one of the four choices best completes the statement and put the letter A, B, C, or D in the brackets.(2%×10=20%) 1．Vibration of the vocal cords results in a quality of speech sounds called voicing, which is a feature of（） A．all consonants B．vowels only C．all consonants and some vowels D．all vowels and some consonants 2．The negative prefix“ in-”in English, when added to the adjective “possible”, is actually pronounced/im/,and spelt as “im”. This is the result of the ______________rule at work. （） A．deletion B．assimilation C．phonetic D．sequential 3．The word “ecology” is a two-morpheme cluster that contains_______________.（）A．two roots B．a root and a suffix C．a root and a free morpheme D．a prefix and a root 4．When we move the adverbial phrase “every day” in the sentence “Every day, we study English” to the end of the sentence, we are now ______________ the phrase to the right.（）A．rewriting B．preposing C．postposing D．maintaining 5．Antonyms are divided into several kinds .Which of the following is NOT a kind of antonyms? （） A．complementary B．relational C．superordinate D．gradable 6．In terms of predication analysis , the utterance“ Is it going to snow this afternoon?” is a______________（） A．one-place predication B．two-place predication C．three-place predication D．no-place predication 7．In Old English, word order was freer because the case endings were rich. So in Old English, word orders included SVO, VSO, SOV and OSV. However, Modern English has a much weaker case system, so its sentences have to follow a basic word order of________________.
解析几何大题二 1．椭圆M 的中心在坐标原点O ，左、右焦点F 1，F 2在x 轴上，抛物线N 的顶点也在原点O ，焦点为F 2，椭圆M 与抛物线N 的一个交点为A （3，2）． （Ⅰ）求椭圆M 与抛物线N 的方程； （Ⅱ）在抛物线M 位于椭圆内（不含边界）的一段曲线上，是否存在点B ，使得△AF 1B 的外接圆圆心在x 轴上？若存在，求出B 点坐标；若不存在，请说明理由． 2．已知椭圆22 22:1(0)x y C a b a b +=>>的右焦点F 到直线30x y -+=的距离为22，231,P ?? ? ? ?? 在椭圆C 上. （1）求椭圆C 的方程； （2）若过F 作两条互相垂直的直线12,l l ，,A B 是1l 与椭圆C 的两个交点，,C D 是2l 与椭圆C 的两个交点，,M N 分别是线段,AB CD 的中点试，判断直线MN 是否过定点？若过定点求出该定点的坐标；若不过定点，请说明理由. 3．已知抛物线C:y 2 =2px(p>0)的焦点F 和椭圆22 143 x y +=的右焦点重合,直线过点F 交抛物线于A 、 B 两点. (1)求抛物线C 的方程； (2)若直线交y 轴于点M,且,MA mAF MB nBF ==u u u r u u u r u u u r u u u r ,m 、n 是实数,对于直线,m+n 是否为定值? 若是,求出m+n 的值；否则,说明理由. 4．已知椭圆22 22:1(0)x y E a b a b +=>>的上顶点为B ，点(0,2)D b -，P 是E 上且不在y 轴上的点， 直线DP 与E 交于另一点Q .若E 的离心率为2 2，PBD ?的最大面积等于 322 . （1）求E 的方程； （2）若直线,BP BQ 分别与x 轴交于点,M N ，判断OM ON ?是否为定值.
历年浙江解析几何高考题 1、（042）直线y=2与直线x+y—2=0的夹角是（） (A)(B)(C)(D) 2、（046文理）曲线y2=4x关于直线x=2对称的曲线方程是（） (A)y2=8--4x (B)y2=4x—8 (C)y2=16--4x (D)y2=4x—16 3、(0411文理)椭圆的左、右焦点分别为F1、F2，线段F1F2被点（，0） 分成5：3两段，则此椭圆的离心率为（） (A)(B)(C)(D) 4、（0422文理）（本题满分14分）已知双曲线的中心在原点，右顶点为A（1，0）.点P、Q 在双曲线的右支上，点M（m,0）到直线AP的距离为1. （Ⅰ）若直线AP的斜率为k ，且，求实数m的取值范围； （Ⅱ）当时，ΔAPQ的内心恰好是点M，求此双曲线的方程. 5、（053文理）．点(1，－1)到直线x－y＋1＝0的距离是( ) (A) (B) (C) (D) 6、（059）．函数y＝ax2＋1的图象与直线y＝x相切，则a＝( ) (A)1/8 (B)1/4 (C) 1/2 (D)1 7、（0513文理）．过双曲线(a＞0，b＞0)的左焦点且垂直于x轴的直线与双曲线 相交于M、N两点，以MN为直径的圆恰好过双曲线的右顶点，则双曲线的离心率等于_________．
8、（0519）．如图，已知椭圆的中心在坐标原点，焦点F 1，F 2 在x轴上，长轴A 1 A 2 的长为4， 左准线l与x轴的交点为M，|MA 1|∶|A 1 F 1 |＝2∶1． (Ⅰ)求椭圆的方程； (Ⅱ)若点P为l上的动点，求∠F 1PF 2 最大值． （理）(Ⅱ)若直线l1：x＝m(|m|＞1)，P为l1上的动点，使∠F1PF2最大的点P记为Q，求点Q的坐标(用m表示)． 9、(063)抛物线的准线方程是（） (A) (B) (C) (D) 10、（0613）双曲线上的离心率是3，则等于 11、（0619）如图，椭圆＝1（a＞b＞0）与过点A（2，0）B(0,1)的直线有且只有一个公共点T，且椭圆的离心率e=(Ⅰ)求椭圆方程； (Ⅱ)设F、F分别为椭圆的左、右焦点，求证：。 （理Ⅱ）设、分别是椭圆的左、右焦点，为线段的中点，求证；
解析几何解答题 1、椭圆G ：)0(122 22>>=+b a b y a x 的两个焦点为F 1、F 2，短轴两端点B 1、B 2，已知 F 1、F 2、B 1、B 2四点共圆，且点N （0，3）到椭圆上的点最远距离为.25 （1）求此时椭圆G 的方程； （2）设斜率为k （k ≠0）的直线m 与椭圆G 相交于不同的两点E 、F ，Q 为EF 的中点，问E 、F 两点能否关于 过点P （0， 3 3）、Q 的直线对称若能，求出k 的取值范围；若不能，请说明理由． ; 2、已知双曲线221x y -=的左、右顶点分别为12A A 、，动直线:l y kx m =+与圆22 1x y +=相切，且与双曲线左、右两支的交点分别为111222(,),(,)P x y P x y . （Ⅰ）求k 的取值范围，并求21x x -的最小值； （Ⅱ）记直线11P A 的斜率为1k ，直线22P A 的斜率为2k ，那么，12k k ?是定值吗证明你的结论. @ [
3、已知抛物线2 :C y ax =的焦点为F ，点(1,0)K -为直线l 与抛物线C 准线的交点，直线l 与抛物线C 相交于A 、 B 两点，点A 关于x 轴的对称点为D ． （1）求抛物线 C 的方程。 ~ （2）证明：点F 在直线BD 上； （3）设8 9 FA FB ?=，求BDK ?的面积。． { — 4、已知椭圆的中心在坐标原点O ，焦点在x 轴上，离心率为1 2 ，点P （2，3）、A B 、在该椭圆上，线段AB 的中点T 在直线OP 上，且A O B 、、三点不共线． (I)求椭圆的方程及直线AB 的斜率； (Ⅱ)求PAB ?面积的最大值． - 、
全国2010年10月自学考试现代语言学试题 I. Directions: Read each of the following statements carefully. Decide which one of the four choices best completes the statement and put the letter A, B, C, or D in the brackets. (2%×10=20% ) 1. The purpose of Chomsky’s definition is to focus attention on the purely ______ properties of language, and these properties can be studied from a mathematically precise point of view. A. lexical B. grammatical C. semantic D. structural 2. We refer to the limited range of sounds as the phonic medium of language and individual sounds within that range as ______. A. vowels B. consonants C. sounds D. speech sounds 3. A(n) ______ refers to the existing form to which a derivational affix can be added. A. root B. stem C. affix D. morpheme 4. All sentences in all languages can be represented by constituent structure trees, and all have syntactic rules that determine the linear order of words and their ______ structure. A. linear B. hierarchical C. constituent D. syntactic 5. In semantic analysis of a sentence, a(n) ______ is a logical participant in a predication, largely identical with the nominal element in a sentence. （） A. argument B. subject C. object D. predicate 6. Speaker A: Can you answer the telephone? Speaker B: I’m in the bath. Speaker B is violating the maxim of ______.（） A. quantity B. quality C. relation D. manner 7. New words may be formed from existing words by the removal of a suffix thought to be part of the old word. Such a process is called ______, e.g., caretake from caretaker. A. back-formation B. clipping C. blending D. abbreviating 8. It is insulting to a woman to be called a spinster, but it is not insulting to a man to be called a bachelor. There is nothing inherently ______ about the word spinster. The connotations reflect the sexist views society has about an unmarried woman as opposed to an unmarried man. A. important B. unusual C. pejorative D. commendatory 9. Human linguistic ability depends primarily on human ______. （） A. brain B. vocal cords C. tongue D. articulatory organs 10. In the ______ stage, children begin to produce longer utterances with more complex grammatical structures. （） A. prelinguistic B. one-word C. two-word D. multi-word Ⅱ. Directions: Fill in the blank in each of the following statements with one word, the first letter of which is already given as a clue. Note that you are to fill in ONE word only, and you are not allowed to change the letter given. ( 1%×10=10% ) 11. D linguistics is the systematic description and elucidation of all linguistic changes through time. It studies the historical development of language over a period of time. For example, a study of the changes English has undergone since the time of Shakespeare would be a diachronic study. 12. The phonemes of a language cannot be strung together in any random order to form words. The phonological system determines which phonemes can begin a word, end a word, and follow each other, in other words, there are s rules that govern the combination of sounds in a particular language. 13. Morphology can be divided into two sub-branches: inflectional morphology and d morphology. 14. Syntax consists of a set of abstract rules that allow words to be combined with other words to form grammatical sentences. It is universally found that syntactic rules comprise a speaker’s system of i linguistic knowledge known as linguistic competence. 15. Pairs of words which exhibit the reversal of a relationship between the lexical items are called r opposites. 16. Pragmatics and semantics are both linguistic studies of m , but what distinguishes them is whether the context of use is considered.