2015年-港澳台全国联考英语真题(带答案)

港澳台联合招生二轮复习资料/中山一中/朱欢

16．空间解析几何

试卷（1）

1. 已知(1,2,1)a，(0,2,3)b，计算ab，ab，以及以,ab为邻边的平行四边形的面积

2.求过三点(2,1,4)A，(1,3,2)B，(0,2,3)C的平面方程

3.过点(1,1,1)，且垂直于平面7xyz和321250xyz的平面方程为_______________.

4.设平面过原点及点(6,-3,2), 且与平面428xyz垂直，则此平面方程为______________.

5.经过原点且垂直与两平面2530xyz及370xyz的平面方程是___________

6.过M(-2,7,3)且平行与平面x-4y+5z-1=0平面方程是_____________

7.已知一平面通过x轴及点M(4,-3,1),则该平面方程是____________

8.已知平面通过M（8，-3，1），N（4，7，2）且垂直于平面3x+5y-7z+21=0,则该平面的方程是__________

9. 用对称式方程及参数方程表示直线10

2340xyz

xyz



为___________________

10. 一直线过点(2,3,4),A且和y轴垂直相交, 求其方程.

11.过M(-1,2,1)且于直线210

210xyz

xyz



平行的直线方程是________

12.通过M(2,1,3)且与直线L：11

321xyz



垂直相交的直线方程是_______________

13.求通过点M(-1,-4,3)且与下面两条直线241

35xyz

xy



，24

1

32xt

yt

zt



 都垂直的直线方程. 港澳台联合招生二轮复习资料/中山一中/朱欢

试卷（2）

1.空间直角坐标系Oxyz中，经过点(2,1,1)P且与直线310,

.

;.. 2015年考研英语二真题及答案（完整版）

Section I Use of English

Directions:

Read the following text. Choose the best word(s) for each numbered blank and mark A,B,C

or D on ANSWER SHEET 1.(10 points)

In our contemporary culture, the prospect of communicating with - or even looking at - a

stranger is virtually unbearable. Everyone around us seems to agree by the way they cling to their

phones, even without a 1 on a subway.

It’s a sad reality - our desire to avoid interacting with other human beings- because there’s 2

to be gained from talking to the stranger standing by you. But you wouldn’t know it, 3 into your

phone. This universal protection sends the 4 :“Please don’t approach me.”

What is it that makes us feel we need to hid 5 our screens?

One answer is fear, according to Jon Wortmann, an executive mental coach. We fear

1 2015年考研英语一真题及答案详细解析 2015年全国硕士研究生入学统一考试英语（一）试题及答案详细解析 Section I Use of English : Directions: Read the following text. Choose the best word(s) for each numbered blank and mark A, B,C or D on the ANSWER SHEET. (10 points) Though not biologically related, friends are as “related” as fourth cousins, sharing about 1% of genes. That is _(1)_a study, published from the University of California and Yale University in the Proceedings of the National Academy of Sciences, has__(2)_. The study is a genome-wide analysis conducted _(3)__1,932 unique subjects which __(4)__pairs of unrelated friends and unrelated strangers. The same people were used in both_(5)_. While 1% may seem_(6)_,it is not so to a geneticist. As James Fowler, professor of medical genetics at UC San Diego, says, “Most people do not even _(7)_their fourth cousins but somehow manage to select as friends the people who_(8)_our kin.” The study_(9)_found that the genes for smell were something shared in friends but not genes for immunity .Why this similarity exists in smell genes is difficult to explain, for now,_(10)_,as the team suggests, it draws us to similar environments but there is more_(11)_it. There could be many mechanisms working together that _(12)_us in choosing genetically similar friends_(13)_”functional Kinship” of being friends with_(14)_! One of the remarkable findings of the study was the similar genes seem to be evolution_(15)_than other genes Studying this could help_(16)_why human evolution picked pace in the last 30,000 years, with social environment being a major_(17)_factor. The findings do not simply explain people’s_(18)_to befriend those of similar_(19)_backgrounds, say the researchers. Though all the subjects were drawn from a population of European extraction, care was taken to_(20)_that all subjects, friends and strangers, were taken from the same population. 1. [A] when [B] why [C] how [D] what 2. [A] defended [B] concluded [C] withdrawn [D] advised 3. [A] for [B] with [C] on [D] by 4. [A] compared [B] sought [C] separated [D] connected 5. [A] tests [B] objects [C]samples [D] examples 6. [A] insignificant [B] unexpected [C]unbelievable [D] incredible 7. [A] visit [B] miss [C] seek [D] know 8. [A] resemble [B] influence [C] favor [D] surpass 9. [A] again [B] also [C] instead [D] thus 10. [A] Meanwhile [B] Furthermore [C] Likewise [D] Perhaps 11. [A] about [B] to [C]from [D]like 2 12. [A] drive [B] observe [C] confuse [D]limit 13. [A] according to [B] rather than [C] regardless of [D] along with 14. [A] chances [B]responses [C]missions [D]benefits 15. [A] later [B]slower [C] faster [D] earlier 16. [A]forecast [B]remember [C]understand [D]express 17. [A] unpredictable [B]contributory [C] controllable [D] disruptive 18. [A] endeavor [B]decision [C]arrangement [D] tendency 19. [A] political [B] religious [C] ethnic [D] economic 20. [A] see [B] show [C] prove [D] tell Section II Reading Comprehension Part A Directions: Read the following four texts. Answer the questions below each text by choosing A, B, C or D. Mark your answers on ANSWER SHEET. (40 points) Text 1 King Juan Carlos of Spain once insisted “kings don’t abdicate, they dare in their sleep.” But embarrassing scandals and the popularity of the republican left in the recent Euro-elections have forced him to eat his words and stand down. So, does the Spanish crisis suggest that monarchy is seeing its last days? Does that mean the writing is on the wall for all European royals, with their magnificent uniforms and majestic lifestyle? The Spanish case provides arguments both for and against monarchy. When public opinion is particularly polarised, as it was following the end of the Franco regime, monarchs can rise above “mere” politics and “embody” a spirit of national unity. It is this apparent transcendence of politics that explains monarchs’ continuing popularity polarized. And also, the Middle East excepted, Europe is the most monarch-infested region in the world, with 10 kingdoms (not counting Vatican City and Andorra). But unlike their absolutist counterparts in the Gulf and Asia, most royal families have survived because they allow voters to avoid the difficult search for a non-controversial but respected public figure. Even so, kings and queens undoubtedly have a downside. Symbolic of national unity as they claim to be, their very history—and sometimes the way they behave today – embodies outdated and indefensible privileges and inequalities. At a time when Thomas Piketty and other economists are warning of rising inequality and the increasing power of inherited wealth, it is bizarre that wealthy aristocratic families should still be the symbolic heart of modern democratic states. The most successful monarchies strive to abandon or hide their old aristocratic ways. Princes and princesses have day-jobs and ride bicycles, not horses (or helicopters). Even so, these are wealthy families who party with the international 1%, and media intrusiveness makes it increasingly difficult to maintain the right image. While Europe’s monarchies will no doubt be smart enough to survive for some time to come, it is the British royals who have most to fear from the Spanish example. It is only the Queen who has preserved the monarchy’s reputation with her rather

绝密★启用前

2011年中华人民共和国普通高等学校

联合招收华侨、港澳地区、台湾省学生入学考试

数 学

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，只有一项是符合题目要求的。

（1）已知tancot0，那么角是 （ ）

（A）第一或第二象限角 （B）第三或第四象限角

（C）第一或第三象限角 （D）第二或第四象限角

（2） 设1111ABCDABCD是棱长为1的正方体，则四面体11ACBD的体积是（ ）

（A）12 （B）13 （C） 14 （D）16

（3） 在△ABC中，角ABC、、的分别为abc、、，若2223acbac+-，则B＝（ ）

（A）6 （B）3 （C）6或56 （D）3或23

（4） 若复数z的虚部不为零，且310zz，则（ ）

（A）1z （B）1z （C）12z （D）z≥2

（5）若2log3a，4log6b，6log9c，则 （ ）

（A）abc （B）abc （C）bca （D）cba

（6）在四面体ABCD中，2AB，其余各棱长均为1，则二面角ACDB的余弦值为（ ）

（A）13 （B）0 （C）13 （D）12

（7）设数列na的前n项和1121nSn，则na （ ）

（A）121n （B） 121n （C）1(21)(21)nn （D）2(21)(21)nn

（8）圆的直角坐标方程为22(3)(1)4xy，在以原点为极点，x轴正半轴为极轴的极坐标系中，该圆的方程为 （ ）

（A）2 （B）54cos()((,])366

（C）24cos()((,])633 （D）4cos((,])22