2017南方科技大學(xué)機試樣題練習(xí)(共7頁)

1、精選優(yōu)質(zhì)文檔-傾情為你奉上2017機試樣題練習(xí)特別提示機試環(huán)節(jié)依次包括數(shù)學(xué)、物理、英語、附加題四個單元，每單元用時分別為40、45、25、10分鐘，共2小時。每一單元考完規(guī)定時間方能進入下一單元，進入下一單元后，不能再返回前一單元進行操作。機試題型包括單項選擇題和不定項選擇題兩種。第一單元 數(shù)學(xué)一、單項選擇題（每題所設(shè)選項中只有一個正確答案，多選、錯選或不選均不得分；每題1.5分）1觀察下列操作：第1次操作：第2次操作：第3次操作：如此反復(fù)操作，則第2017次操作后得到的數(shù)是（ ）A55B133C250D2602已知數(shù)列滿足，則=（ ）ABCD3在中，分別是角的對邊，若，則=A2B4CD4在平

2、面直角坐標系中，點，則（ ）ABCD5在ABC中，若，則的最大值為()A B C D26的外接圓的圓心為，半徑為1，且，則向量在向量方向上的投影為（ ）A B C D7已知、為非零向量，則下列命題中真命題的個數(shù)為（ ）若，則與方向相同；若，則與方向相反；若，則與有相等的模；若，則與方向相同A. 0B. 1C. 2D. 38對任意向量、，下列關(guān)系式中不恒成立的是()A BCD9如圖，三棱錐A-BCD的頂點A、B、D為正方體的頂點，C為正方體棱的中點，現(xiàn)在正方體的網(wǎng)格紙上用粗線畫出的它的三視圖，正確的是正前方 A B C D10已知圓及其外一點.若圓上存在點滿足，則實數(shù)的取值范圍是（ ）A. B.

3、 C. D. 11雙曲線的右焦點與拋物線的焦點重合，且在第一象限的交點為，垂直于軸，則雙曲線的離心率是ABCD12.拋物線：的焦點為，準線為，是上一點，連接并延長交拋物線于點，若，則（ ）A3B4C5D6 13橢圓的左、右焦點分別是，點在橢圓上，的角平分線交軸于點，若，則該橢圓的離心率為( ) 提示：內(nèi)角平分線定理為ABCD 14.有6名同學(xué)參加校園歌手總決賽，觀眾中有四名同學(xué)猜測結(jié)果，其中甲同學(xué)猜測：4號或5號選手得第一名；乙同學(xué)猜測：3號選手不可能得第一名；丙同學(xué)猜測：1,2,6號選手中的一位獲得第一名；丁同學(xué)猜測：4,5,6號選手都不可能獲得第一名比賽后發(fā)現(xiàn)沒有并列名次，且甲、乙、丙、丁

4、中只有1人猜對比賽結(jié)果，此人是( )A.甲、B.乙、C.丙、D.丁15在極坐標系中，曲線，則與交點的坐標為（ ）ABCD或16. 若復(fù)數(shù)滿足，則的虛部為( ).（A）（B）（C）（D）17將離心率為的雙曲線的實半軸長和虛半軸長同時增加個單位長度，得到離心率為的雙曲線，則（ ） A對任意的， B當時，；當時，C對任意的， D當時，；當時，二、不定項選擇題（每題所設(shè)選項中至少有一個正確答案，多選、少選、錯選或不選均不得分；每題2分）1如圖1，一個正四棱柱形的密閉容器底部鑲嵌了同底的正四棱錐形實心裝飾塊，容器內(nèi)盛有升水時，水面恰好經(jīng)過正四棱錐的頂點如果將容器倒置，水面也恰好過點（圖2）則下列四個命題

5、正確的是A正四棱錐的高等于正四棱柱高的B將容器側(cè)面水平放置時，水面也恰好過點C任意擺放該容器，當水面靜止時，水面都恰好經(jīng)過點D若往容器內(nèi)再注入升水，則容器恰好能裝滿2. 已知函數(shù)，（其中）.對于不相等的實數(shù)，設(shè)，.則下列命題是真命題的是（ ）.（A）對于任意不相等的實數(shù)，都有；（B）對于任意的a及任意不相等的實數(shù)，都有；（C）對于任意的a，存在不相等的實數(shù)，使得；（D）對于任意的a，存在不相等的實數(shù)，使得.3. 已知，是兩條不同直線，是兩個不同平面，則下列命題正確的是（ ）. （A）若，垂直于同一平面，則與平行 （B）若，平行于同一平面，則與平行 （C）若，不平行，則在內(nèi)不存在與平行的直線 （

6、D）若，不平行，則與不可能垂直于同一平面第二單元 物理一、單項選擇題（每題所設(shè)選項中只有一個正確答案，多選、錯選或不選均不得分；每題1.5分）1. 質(zhì)量和電荷量都相等的帶電粒子和，以不同的速率經(jīng)小孔垂直進入勻強磁場，運行的半圓軌跡如圖附3-1-1中虛線所示，下列表述正確的是（ ）A.帶負電，帶正電 B.的速率小于的速率C.洛倫茲力對、做正功 D.的運行時間大于的運行時間2. 一水平拋出的小球落到一傾角為的斜面上時，其速度方向與斜面垂直，運動軌跡如圖2-3-8中虛線所示.小球在豎直方向下落的距離與在水平方向通過的距離之比為（ ）A B. C.tan D.2tan二、不定項選擇題（每題所設(shè)選項中至

7、少有一個正確答案，多選、少選、錯選或不選均不得分；每題2分）1. 如圖所示，物體P靜止于固定的斜面上，P的上表面水平.現(xiàn)把物體Q輕輕地疊放在P上，則（ ）A.P向下滑動B.P靜止不動C.P所受的合外力增大D.P與斜面間的靜摩擦力增大2. 如圖，左側(cè)的調(diào)壓裝置可視為理想變壓器，負載電路中55 ，A、V為理想電流表和電壓表，若原線圈接入如圖（b）所示的正弦交變電壓，電壓表的示數(shù)為110V，下列表述正確的是（ ）A.電流表的示數(shù)為2AB.原、副線圈匝數(shù)比為12C.電壓表的示數(shù)為電壓的有效值D.原線圈中交變電壓的頻率為100Hz 第三單元 英語Reading Comprehension (4 pass

8、ages,20 scores)Directions:There are 4 passages in this part. Each passage is followed by 4 questions or unfinished statements. For each of them there are four choices marked A, B, C and D. You should decide on the best choice and write the corresponding letter on the Answer Sheet.【Sample】Daniel Ande

9、rson, a famous psychologist, believes its important to distinguish televisions influences on children from those of the family. We tend to blame TV, he says, for problems it doesnt really cause, ignoring our own roles in shaping childrens minds.One traditional belief about television is that it redu

10、ces a childs ability to think and to understand the world. While watching TV, children do not merely absorb words and images (影像). Instead, they learn both clear and hidden meanings from what they see. Actually, children learn early the psychology of characters in TV shows. Furthermore, as many teac

11、hers agree, children understand far more when parents watch TV with them, explaining new words and ideas. Yet, most parents use an educational program as a chance to put their kids in front of the set and do something in another room. Another argument against television is that it replaces reading a

12、s a form of entertainment. But according to Anderson, the amount of time spent watching television is not related to reading ability. TV doesnt take the place of reading for most children; it takes the place of similar sorts of recreation, such as listening to the radio and playing sports. Things li

13、ke parents educational background have a stronger influence on a childs reading. “A childs reading ability is best predicted by how much a parent reads.” Anderson says.Traditional wisdom also has it that heavy television-watching lowers IQ (智商) scores and affects school performance. But here, too, A

14、nderson notes that no studies have proved it. In fact, research suggests that its the other way around. “If youre smart young, youll watch less TV when youre older,” Anderson says. Yet, people of lower IQ tend to be lifelong television viewers. For years researchers have attempted to show that telev

15、ision is dangerous to children. However, by showing that television increases none of the dangerous effects as believed before, Anderson suggests that television cannot be criticized without considering other influences. 1. An educational program is best watched by a child _. A. on his own B. with o

16、ther kids C. with his parents D. with his teachers 2. Which of the following is most related to childrens reading ability?A. Radio-listening B. Television-watchingC. Parents reading list D. Parents educational background3. Anderson believed that _. A. the more a child watches TV, the smarter he is B. the younger a child is, the more he watches TV C. the smarter a child is, the less likely he gets addicted to TV D. the less a child watches TV, the better he performs at school 4. What is the main purpos