1、B B類英語(yǔ)專業(yè)輔導(dǎo)課程類英語(yǔ)專業(yè)輔導(dǎo)課程智力測(cè)試智力測(cè)試主講教師：陳月娣主講教師：陳月娣C C類本科生輔導(dǎo)課程類本科生輔導(dǎo)課程智力測(cè)試智力測(cè)試主講教師：陳月娣主講教師：陳月娣D D類?？粕o導(dǎo)課程類?？粕o導(dǎo)課程智力測(cè)試智力測(cè)試主講教師：陳月娣主講教師：陳月娣一、題型分析二、解題技巧及真題串講三、復(fù)習(xí)指南一、題型分析一、題型分析(一一) 考核要求考核要求這類試題主要考察考生的邏輯推理、數(shù)字運(yùn)這類試題主要考察考生的邏輯推理、數(shù)字運(yùn)算、常識(shí)判斷及靈活應(yīng)變的思維能力。由于試題算、常識(shí)判斷及靈活應(yīng)變的思維能力。由于試題以英文出現(xiàn)，所以同時(shí)也考察考生的英文水平。以英文出現(xiàn)，所以同時(shí)也考察考生的英文水平

2、。(二二) 試題構(gòu)造試題構(gòu)造5道小題，以問(wèn)答或填空形式出題，其中局道小題，以問(wèn)答或填空形式出題，其中局部試題配有圖片。部試題配有圖片。注意：客觀題注意：客觀題主觀題主觀題 2021年以前為年以前為multiple choice客觀題型，從客觀題型，從2021年開場(chǎng)試題根年開場(chǎng)試題根本上為填空形式的主觀題，沒(méi)有選項(xiàng)可供選擇，本上為填空形式的主觀題，沒(méi)有選項(xiàng)可供選擇，客觀題出題形式出現(xiàn)的頻率很低客觀題出題形式出現(xiàn)的頻率很低(三) 試題特點(diǎn)1. 區(qū)別于國(guó)內(nèi)其他英語(yǔ)考試，是英語(yǔ)競(jìng)賽的特有題型，與國(guó)際英語(yǔ)考試GRE和GMAT中的數(shù)學(xué)題和邏輯題有相似之處；2. 可歸納為數(shù)學(xué)題、空間邏輯題及語(yǔ)言文字題等三類

3、；如：數(shù)學(xué)題One half of one quarter of one tenth of 800 is _.空間邏輯題Two diagonals have been drawn on two faces of the cube. Using logical reasoning and lateral thinking, work out the angle between the two diagonals AB and AC.語(yǔ)言文字題Only one other word can be made from all the letters of INSATIBLE. What is it?

4、3. 難度大，時(shí)間緊。 做智力測(cè)試題有個(gè)特點(diǎn)，要么很快地得出答案，要么花費(fèi)很長(zhǎng)時(shí)間也不得要領(lǐng)，關(guān)鍵是解題思路是否正確。該局部分值不高每題1分，比較合理的答題時(shí)間應(yīng)該在5分鐘左右，對(duì)大局部考生來(lái)說(shuō)，時(shí)間比較緊張。這類試題也是很多英語(yǔ)學(xué)習(xí)愛(ài)好者很感興趣的；做得好，能從中獲得樂(lè)趣。同時(shí)這局部題也是高水平學(xué)生拔高，拉出差距的地方。二、解題技巧及真題串講二、解題技巧及真題串講耐心研讀試題，明確題目意思和題目所要考耐心研讀試題，明確題目意思和題目所要考察的目標(biāo)，找出題中隱含的規(guī)律，然后進(jìn)展推導(dǎo)察的目標(biāo)，找出題中隱含的規(guī)律，然后進(jìn)展推導(dǎo)得出答案。得出答案。 (一一) 數(shù)學(xué)題數(shù)學(xué)題首先是準(zhǔn)確地理解題目要求，然

5、后通過(guò)加、首先是準(zhǔn)確地理解題目要求，然后通過(guò)加、減、乘、除等運(yùn)算找出數(shù)字之間的關(guān)系，最后對(duì)減、乘、除等運(yùn)算找出數(shù)字之間的關(guān)系，最后對(duì)答案加以驗(yàn)證。答案加以驗(yàn)證。 數(shù)列數(shù)列 數(shù)字與圖形結(jié)合數(shù)字與圖形結(jié)合 應(yīng)用題應(yīng)用題 數(shù)列89 4 9 6 2 3 4 7 8 2 1 9 6 4 3 2Multiply by 7 the number of odd numbers which are immediately followed by an even number in the list above. What is the answer? 2021年D類決賽【答案】35【解析】緊跟在偶數(shù)后面的奇數(shù)有

6、5個(gè)，分別是9、3、7、9、3。故5乘以7得35。odd number奇數(shù)。even number偶數(shù)。94 Jeff likes 25 but not 24; he likes 400 but not 300; he likes400 but not 145. Which of the following does he like? 2021年D類初賽【答案】E【解析】杰夫喜歡平方之后得出的數(shù)，25=52，400=202,144=122，因此在選項(xiàng)中，他會(huì)選擇1600，因?yàn)?600=402。 There were 12 runners in a marathon. They lined up

7、 as follows. 2021年D類初賽What number should the 12th runner have? 【答案】18.【解析】88=64 Reversed=4655=25 Reversed=5244=16 Reversed=6177=49 Reversed=9466=36 Reversed=6399=81 Reversed=18 Find the missing number. 2021年C類初賽7 9 8 10 9 ?【答案】11 【解析】第一、三、五位置上的數(shù)依次為7、8、9；第二、四、六位置上的數(shù)依次為9、10、11。 Find the next number in

8、 the sequence. 2021年C類決賽1 2 5 12 27 ?【答案】58 【解析】這排數(shù)列之間的差依次是1，3，7，15。新數(shù)列之間的差又依次是2，4，8，可推測(cè)下一個(gè)數(shù)是16，往前推，上一個(gè)數(shù)列的下一個(gè)數(shù)是31，故題中所缺數(shù)字是58。91 Each number is the sum of the previous two numbers. What were the first two numbers that started the series? 2021年B類初賽【答案】2,5【解析】設(shè)19和81之間的數(shù)字為x, y，那么19+x=y，x+y=81，得x=31，y=50

9、。那么后四個(gè)數(shù)分別為19，31，50，81。那么前四個(gè)數(shù)從后往前可推知分別是12，7，5，2。 What is the next number? 2021年B類初賽 983, 147, 49, 18, ?.【答案】4 【解析】9832 = 147；1472 =49；492=18；182=4 Which number comes next in this series? 2021年B類決賽2736, 9108, 17127, 89298, ?,【答案】178596【解析】通過(guò)計(jì)算可知，2736 + 6372 = 9108，9108 + 8019 = 17127，17127 + 72171 = 8

10、9298，即每個(gè)數(shù)字加上將每個(gè)數(shù)字倒過(guò)來(lái)讀而得出的數(shù)字的和，即這個(gè)數(shù)字的后面一位的數(shù)。所以，89298后面的數(shù)應(yīng)為89298 + 89298 = 178596。 You are given a series of numbers. Your task is to see how they form a relationship with each other. You have to choose the number that would go next in the series. 2007年A類決賽2 3 7 17 39 A. 58. B. 75. C. 85. D. 65.【答案】C

11、【解析】2+1=3，3+4=7，7+10=17，17+22=39，繼而尋找1，4，10，22之間的規(guī)律。1+3=4，4+6=10，10+12=22，3，6，12之間是兩倍遞增關(guān)系，按規(guī)律，它們的下一個(gè)數(shù)值是122=24。22+24=46，39+46=85，應(yīng)選項(xiàng)C為正確答案。86 Find the letter that goes inside the brackets to complete the sequence.2021年A類初賽108 (O) 648 (S) 325 (T) 214 ( )【答案】I 【解析】通過(guò)題目可知，325-108=217，648-214=434，故得出2(T-

12、O)=S-?。在字母表中共有26個(gè)字母，我們把字母O、S、T分別對(duì)應(yīng)第15位、19位、20位，代入2(T-O)=S-?，從而得出？=S-10，即字母？在字母表的順序比S靠前10位，也就是字母I。數(shù)字與圖形結(jié)合91 What number should replace the question mark? 2021年D類初賽【答案】24 【解析】方框中的數(shù)字等于上下數(shù)字之差加左右數(shù)字之和。如28=24+6+7-9；27=9+8+14-4，故9+10+16-11=2487 What number should replace the question mark? 2021年D類初賽【答案】50【解

13、析】找出第一行和第二行的數(shù)字規(guī)律，由此計(jì)算出第三行空格內(nèi)的數(shù)字。第一行：58+26=84,84/2=42; 第二行：39+45=84, 84/2=42?？梢?jiàn)第三行也應(yīng)把兩數(shù)相加的結(jié)果除以2。88 Clock A was correct at midnight, but lost exactly 1 minute an hour from then on. It stopped 1 hour ago (B), having run for less than l2 hours. What is the time now? 2021年D類初賽【答案】6.00 am.【解析】從A圖到B圖可知，時(shí)鐘走

14、了5個(gè)小時(shí)，但是一次差1分鐘，共慢了5分鐘，所以時(shí)鐘所顯示的4:55實(shí)際應(yīng)為5點(diǎn)鐘，因其是一個(gè)小時(shí)之前停的，所以現(xiàn)在應(yīng)為6點(diǎn)鐘。94 Each symbol is worth a number. The total of the symbols can be found alongside each row and column. What number should replace the question mark? 2021年D類決賽【答案】22 【解析】由左邊第一列可得出每個(gè)花的值是10；由第一行可得出三角形的值是8；由第二行可得出圓的值是3；由第二列可得出方框的值是1。所有圖形相加的

15、和是22。87 Insert numbers into the grid, so that all calculations are correct both across and down. 6 and 8 are already placed. 2021年D類初賽【答案】【解析】涉及簡(jiǎn)單、較小的數(shù)字之間的加減乘除，可采用直接帶數(shù)字法，將可能性數(shù)字帶入以檢驗(yàn)正確與否。If these two numbers total 6879, what do the two numbers below total? 2021年C類初賽【答案】15189 【 解 析 】 將 紙 顛 倒 過(guò) 來(lái) ， 將 數(shù)

16、 字 相 加 。1261+5618=6879，6061+9128=15189。Correct this equation so that it makes sense by moving the four given digits but without introducing any additional mathematical symbols. 2021年C類決賽【答案】72 =49【解析】將2變成7的平方，將6翻轉(zhuǎn)后移到4之后。 What number replaces the question mark? 2021年C類決賽 【答案】6【解析】(167)(78)=2；(145)(25

17、)=7以此類推，(189)(93)=6 What number should replace the question mark? 2021年C類決賽 【答案】2. 【解析】從最上部3開場(chǎng)，然后接第二排從右至左，然后接第三排從左至右，然后接第四排從右至左，即3 6 9 4 2 3 6 9 4 2 3 6 9 4 ？ 3，可得出規(guī)律36942一直被重復(fù)，故答案為2。 What number should replace the question mark? 2021年C類決賽【答案】2【 解 析 】 根 據(jù) 觀 察 可 知 ， 4 + 8 + 9 = 2 1 0 + 1 ，3+4+5=110+2

18、，所以，878=？10+3，從而得出？為2。 49 Find the weight to balance the scales.2007年C類初賽 A. 2kg. B. 4kg. C. 3kg. D. 5kg【答案】A 【解析】物理學(xué)杠桿平衡原理，兩邊力乘以力矩得出的積相加之和相等。4kg316kg1=10 kg2X4，X=2 kg。90 Find the missing value on the roof of the second house. Each of the numbers on the windows and doors must be used only once and n

19、o number can be reversed. 2021年B類初賽【答案】71【解析】根據(jù)第一個(gè)房屋712+4=88可推測(cè)左邊窗戶門+右窗=屋頂，那么第二個(gè)屋頂?shù)臄?shù)值為88+7=71。 What number is missing from the segment below? 2021年B類決賽【答案】25 【解析】設(shè)圓的每一個(gè)分割局部中的三個(gè)數(shù)分別為a，b，c，按順時(shí)針?lè)较蚺c之相鄰的數(shù)設(shè)為d，如右圖所示，四者之間的規(guī)律為ab=c+d，所以66=？11，即答案為25。 Find the number that fits below the 7. 2021年B類初賽【答案】11 【解析】數(shù)

20、出圖片中的數(shù)字一共有幾條邊。如果有N條邊，那么用N乘以三再減去原來(lái)的數(shù)，就得到圖片下方的數(shù)。如，圖中1字共有11條邊，那么其下數(shù)字為113-1=32。圖中4字一共有15條邊，那么其下數(shù)字為153-4=41。7字一共有6條邊，所以7字下方的數(shù)字應(yīng)為63-7=11。 Which number is missing from the third circle? 2007年B類初賽【答案】B 【解析】通過(guò)觀察這三幅圖，可以得出如下三個(gè)數(shù)學(xué)等式：87+57+36=180；49+23+18=90；36182。觀察，等式可以得出，第1個(gè)圖中數(shù)字之和是第2個(gè)圖中數(shù)字之和的2倍。而第3個(gè)圖中的27是第1個(gè)圖中的

21、36的34；第3個(gè)圖中的和為l803/4=135。135-15-27=93。 Planet “Y orbits the Sun in six months. AB is four times the distance of CD and moreover it turns out that planet X travels at half the speed of planet Y. How long does Planet “X take to orbit the Sun? 2007年B類決賽 A. 8 years. B. 6 years. C. 4 years. D. 2 years.【答

22、案】C 【解析】由題意可知AB = 4CD，故X繞太陽(yáng)一周的距離為Y的4倍，又planet X travels at half the speed of planet Y，故X繞太陽(yáng)一周的時(shí)間為Y的8倍。Planet “Y繞太陽(yáng)一周的時(shí)間為6個(gè)月，故planet X繞太陽(yáng)一周需4年。 What is the missing number from the centre of the third target? 2007年B類決賽 A. 32. B. 33. C. 34. D. 35.【答案】C 【解析】第一副圖中間數(shù)字的得出可以看作是8216，第二副圖中間數(shù)字的得出可以看作是13339，第三副

23、圖中間數(shù)字的得出可以看作是17234。 Which number replaces the question mark?2021年A類初賽【答案】29 【解析】順時(shí)針看可以得出：24+21=45，21+17=38，17+5=22，5+24=29，故？=5+24，即29。 What number is missing from the segment below? 2021年A類決賽【答案】3【解析】圖中的圓被分成8局部，其中共有4對(duì)圖形相互對(duì)稱，通過(guò)計(jì)算可知，對(duì)稱的圖形6個(gè)數(shù)字相加都等于30，故圖中缺少的數(shù)字應(yīng)為3045648，即3。應(yīng)用題 A farmer has a field conta

24、ining a certain number of pigs and hens. Between them they have 36 heads and 100 feet. How many pigs and hens does the farmer have? 2021年D類初賽【答案】14 pigs and 22 hens【解析】假設(shè)有x頭豬，y只雞，那么可得以下方程組：x+y=36，4x+2y=100；解此方程組可得x=14，y=22。89 An aircraft flew from A to B at an average speed of 230 mph. It returned f

25、rom B to A at an average speed of 300 mph. What was its average speed for the two journeys? 2021年D類初賽【答案】260 mpf【解析】設(shè)飛機(jī)從A到B耗時(shí)a小時(shí)，從B到A耗時(shí)b小時(shí)，那么可得出230a=300b；飛機(jī)飛行整個(gè)路程中所用的平均速度那么為2300b/(a+b)；將兩個(gè)方程式合并，便可得出平均速度約為260.3mpf，四舍五入后取結(jié)果260mpf。94 I bought four things this morning. The dictionary was 5 times the cos

26、t of the book，the tie was 30 times the cost of the book，the watch was 4 times the cost of the tie，and I spent 312 dollars in total. What was the price of the dictionary? 2021年D類初賽【答案】10 【解析】假設(shè)字典的價(jià)格為x，那么書的價(jià)格為1/5x,領(lǐng)帶的價(jià)格為30*1/5x，手表為4*30*1/5x，這些東西的 總 價(jià) 值 為 3 1 2 ， 因 此 可 得 方 程 式x+1/5x+30*1/5x+4*30*1/5x=3

27、12，故x=10。 There is a four-digit number made with 1-9! Its 2nd digit is twice greater than its 3rd. The sum of all the digits is thrice greater than its last digit! The product of its 3rd and 4th digits is 12 times greater than the ratio of its 2nd to 3rd. What is it? 2021年C類決賽【答案】7638【解析】這是一個(gè)四位數(shù)，第二個(gè)

28、是第三個(gè)的兩倍，有四種可能，2,1；4,2；6,3；8,4；然后設(shè)第四個(gè)數(shù)為a，第一個(gè)數(shù)為b，那么先假設(shè)第二第三位數(shù)為2,1，那么a=12*2=249，不符合，同理4,2也不符合，如果是6,3，那么3a=12*2=24，a=8,，8+6+3+b=8*3=24，b=7，那么這個(gè)四位數(shù)為7638，如果是8,4，那么4a=12*2=24，a=6，6+8+4+b=6*3=18，b=01，不符合，所以，答案為7638。 A census-taker calls at a house. He asks the woman living there the ages of her three daughte

29、rs. The woman says, “If you multiply their ages the total is 72; if you add their ages the total is the same as the number on my front door, which you can see.The census-taker says, “That is not enough information for me to calculate their ages.The woman says, “Well, my eldest daughter has a cat wit

30、h a wooden leg.The census-taker replies, “Ah! Now I can calculate their ages. What are the ages of the three girls? 2021年C類決賽【答案】8，3，3【解析】由于三個(gè)孩子年齡相乘得72，可以得出的組合有：7211,3621,1841,942,981,662,833,1261,1232,1822,643,2431。各組合相加之后得到：74,39,23,15,18,14,14,19,17,22,13,28。人口普查員一定知道門牌號(hào)碼，可是仍然無(wú)法確定是哪個(gè)組合，說(shuō)明門牌號(hào)碼是14，

31、可知是662,833這兩種情況中的一種，房主人又提到eldest daughter，說(shuō)明，較大的兩個(gè)孩子不可能同歲，故可以確定三個(gè)孩子的年齡分別是8歲，3歲，3歲。 When David is twice as old as he is now he will be four times as old as his daughter Jane will be in five years time. If in 1990, four years ago, he was four times as old as his daughter, in what year was she born? 20

32、21年C類初賽【答案】In 1983 【解析】由題目可知，四年前為1990年，那么今年為1994年?？梢栽O(shè)David的女兒今年為X歲，David為Y歲，根據(jù)題目條件可以列出一個(gè)兩元一次方程組：4(X+5)=2Y; 4(X-4)=Y-4。解方程組可得：X=11，Y=32，即Jane今年11歲，又知今年為1994年，那么1994-11=1983，即她出生于1983年。 The cost of hiring a private rail carriage is shared equally by all the passengers who paid an exact number of pound

33、s which was less than 100 each. The carriage has seats for 50 passengers and the total bill amounts to 1887. How many seats were not occupied? 2021年C類初賽【答案】13seats (37 people each paid 51.)【解析】根據(jù)題目要求可知，1887英鎊被一些人平分，人數(shù)少于50，每人所付錢數(shù)少于100英鎊，可知如果分解1887的話，符合條件的兩個(gè)因子應(yīng)一個(gè)小于50，一個(gè)小于100。因?yàn)?887=31737，即1887=3629，或者

34、1887=3751，可知是37位乘客，每位乘客交了51英鎊，那么空座為13個(gè)。87 A set of dominoes(多米諾) consists of rectangular (矩形的) tiles each carrying two numbers from 0 to 6 which represented by patterns of spots. Every possible pairing of numbers occurs just once including each number with itself. How many dominoes are there in a se

35、t? 2021年C類決賽【答案】28. 【解析】該題是一個(gè)排列組合題，從0至6共7個(gè)數(shù)字任意選出兩個(gè)數(shù)字，共有21種組合，除此之外，每個(gè)數(shù)字還可以跟自己組合，共有7種組合，加在一起共28種組合。89 One hundred boys went on a school outing. Eighty-one percent of the boys lost a shoe, 82 percent of the boys lost a sock, 77 percent of the boys lost a handkerchief and 68 percent of the boys lost a h

36、at. What is the minimum percentage who lost all 4 items? 2021年C類決賽【答案】8%. 【解析】81+82+77+68=308.假設(shè)使丟4件物品的人數(shù)最少，那么丟3件物品的人數(shù)最大，即100人，由此可知丟4件物品的人數(shù)最少時(shí)應(yīng)為8人，即丟4件物品的人數(shù)所占最小比例為8%。94 The following is part of a bus timetable. Express buses do not stop at some of the towns between Dawtry and Saresbury. 2021年C類決賽DAW

37、TRY 07:50 08:30 09:10 09:50TAMSVILLE 07:59 10:00BRISTOWN 08:07 08:42 10:08JAMCASTER 08:24 08:55 09:27 10:25SARESBURY 08:33 09:04 09:36 10:33 How much less time does it take to travel on the fastest express bus from Dawtry to Saresbury than it does on a slow (non-express) bus?【答案】17分鐘【解析】根據(jù)題意，快車不會(huì)在一些

38、小鎮(zhèn)上停，故第二和第三輛車是快車，又因?yàn)榈谌v車比第二輛車少停一個(gè)鎮(zhèn)，故第三輛車是最快的快車，從Dawtry到Saresbury用了26分鐘。第一輛車和第四輛車都用了43分鐘。43減去26就是17。96 How many different arrangements can you make of all the seven letters in the word COMBINE? 2021年C類初賽【答案】5040 【解析】這是一個(gè)排列組合題目，計(jì)算方法為7*6*5*4*3*2*1=504096 How many minutes is it before 12 noon if 90 minu

39、tes ago it was four times as many minutes past 9 am? 2021年C類決賽【答案】72 【解析】設(shè)是中午12點(diǎn)以前x分鐘。根據(jù)題意可得此方程式：x=41260(90+x)960解得x=7288 Simon had a bag of sweets. When he tried to divide the sweets into three piles he had one left over. The same thing happened when he tried to divide them into four, five and six

40、piles. However, when he split them into seven piles there were none left over. How many sweets did he start with?2021年B類初賽【答案】301 【解析】求出3、4、5、6的最小公倍數(shù)，是60。列出不定方程60 x+1=7y。x=1、2、3依次帶入。x=5時(shí)，y=43。5*60+1=301。87 If Alan gives Brenda $5.50, they will both have the same amount of money. If Brenda gives Alan

41、 1.50, Alan will have twice as much as Brenda. What did they have at the start? 2021年B類決賽Which park has twice as many llamas(美洲駝) as one of the parks has lions? 2021年B類初賽【答案】Park C.【解析】題目問(wèn)哪一個(gè)公園里的駱駝數(shù)是其中一個(gè)公園中獅子數(shù)的兩倍，三個(gè)公園中獅子數(shù)分別為：16，14，10，二倍為：32，28，20，根據(jù)表中數(shù)據(jù)可知公園C中駱駝數(shù)為32，正好是公園A中獅子數(shù)的兩倍，故答案為Park C。MonkeysLl

42、amasLionsPark A422516Park B352114Park C48321089 At the end of a banquet 10 people shake hands with each other. How many handshakes will there be in total? 2021年B類決賽【答案】45 【解析】試想這十個(gè)人排成一排，那么站在最左邊的人依次與右邊九個(gè)握手，而左邊數(shù)第二個(gè)至于其右邊八 個(gè) 人 握 手 即 可 ， 依 次 類 推 ， 得 出 算 式 ：9+8+7+2+1=45。 A farmer buys a horse for $60. He

43、sells it to his neighbor for $70. Then he discovers he could have made a better deal. He borrows $10 from his wife, and buys the horse back for $80. He then sells it to another neighbor for $90. How much money did he make? 2021年A類決賽【答案】$10 【解析】第一次買馬花費(fèi)$60，賣了$70，共盈利$10。第二次買馬花費(fèi)$80，賣了$90，再除去借妻子的$10，共盈利$

44、0。所以，通過(guò)兩次對(duì)馬的買和賣，他共盈利$10。 There are 189 members in a tennis club: 8 have been at the club less than three years; 11 are under 20 years of age; 70 wear spectacles; 140 are men. What is the smallest number of players who have been members for three years or more, are at least 20 years of age, wear glas

45、ses and are men?2021年A類初賽【答案】2 【解析】分別算出多于3年的為181人，不戴眼鏡的為119人，女性為49人，且題目20歲以下為11人，那么181-11-119-49=2。(二二) 空間邏輯題空間邏輯題解答空間邏輯題的關(guān)鍵在于找出題目中的邏輯解答空間邏輯題的關(guān)鍵在于找出題目中的邏輯關(guān)聯(lián)，一般從位置、方向、數(shù)量等角度入手。關(guān)聯(lián)，一般從位置、方向、數(shù)量等角度入手。95 Which of the following diagrams is the odd one out? 2021年年D類初賽類初賽【答案】【答案】D【解析】【解析】D是唯一穿插局部的圖形與原圖不一樣的，是唯

46、一穿插局部的圖形與原圖不一樣的，應(yīng)選應(yīng)選D。88 Connect the following 12 dots all using only five straight lines, which go through every dot only once. 2021年D類初賽【答案】92 Each of the nine squares in the grid marked 1A to 3C, should incorporate all the lines and symbols which are shown in the squares of the same letter and nu

47、mber immediately above and to the left. For example, 2B should incorporate all the lines and symbols that are in 2 and B. One of the squares is incorrect. Which one is it? 2021年D類初賽【答案】2A 【解析】此題為圖像疊加得組合圖形。2A應(yīng)由2和A構(gòu)成，2A錯(cuò)在缺少了A中的黑實(shí)心點(diǎn)。89 Two diagonals have been drawn on two faces of the cube. Using logic

48、al reasoning and lateral thinking, work out the angle between the two diagonals AB and AC. 2021年C類初賽【答案】60【解析】連接BC，AB、BC、AC等長(zhǎng)，等邊三角形內(nèi)角為60。90 Which of the options given will fold up to make the cube below? 2021年C類初賽【答案】A或C【解析】B、D項(xiàng)的十字面與圓圈面都是相對(duì)的。90 What is the largest number of regions this ring could b

49、e divided into using three straight lines? 2021年C類初賽【答案】Nine regions【解析】前兩條直線分別與小圓相切，使小圓充當(dāng)區(qū)域的分界限，并且這兩條線相交，第三條線穿過(guò)小圓，并與前兩條直線相交，且不經(jīng)過(guò)之前的任何交點(diǎn)和切點(diǎn)。Look at the above group of three squares. They have a certain feature which is shared by only one of the groups of three squares below. Which one has the matchi

50、ng feature? 2021年C類決賽 A. B. C. D.【答案】D【解析】原圖三個(gè)矩形重疊的局部是一個(gè)三角形，只有D符合。90 Each of the nine squares in the grid marked A1 to C3 should incorporate all the lines and symbols which are shown in the squares of the same letter and number immediately above and to the left. One of the squares is incorrect. Whic

51、h one is it? 2021年C類決賽【答案】B1. 【解析】圖B1不正確。圖B和圖1兩個(gè)圖形合并后，圖1沒(méi)有保持原樣。 On the left are some shapes and the codes that go with them. You must decide how the code letters go with the shapes. Which code should replace the question mark on the right? 2021年C類初賽【答案】ZN 【解析】左邊第一個(gè)圖和第三個(gè)圖一樣的局部是兩圓不重合的空白局部，一樣的字母是M，所以M代

52、表兩圓不重合的空白局部，X代表兩圓重合并且是陰影的局部，Z代表重合并且是黑影的局部，并且由這兩個(gè)圖可推導(dǎo)出第一個(gè)字母代表兩圓中間的重和局部，第二個(gè)字母代表不重合的局部。所以右邊的圖有著與左邊第三個(gè)圖一樣的字母Z和與左第二個(gè)圖一樣的字母N。95 There are five squares arranged in order below. The last square has been left empty. Please fill in it in a way that continues the sequence. 2021年C類決賽【答案】1個(gè)triangle，2個(gè)squares，2個(gè)c

53、rosses【解析】根據(jù)觀察可知，偶數(shù)圖的變化是圓和叉數(shù)量跟上一幅圖一樣，保持不變，三角減少一個(gè)，方塊增加一個(gè)；奇數(shù)圖的變化是三角和方塊量跟上一幅圖一樣，保持不變，圓減少一個(gè)，叉增加一個(gè)，所以第五幅圖應(yīng)該是三角和方塊量跟第4幅圖一樣，即1個(gè)三角，2個(gè)方塊，圓減少1個(gè)，變?yōu)?個(gè)，叉增加1個(gè)變?yōu)?個(gè)。 Which figure completes the sequence? 2007年C類決賽【答案】C 【解析】根據(jù)前兩組圖形可看出兩個(gè)規(guī)律：相鄰兩個(gè)圖形的折角方向不會(huì)一樣，以及第一個(gè)圖形的折角數(shù)是后兩個(gè)圖形的折角數(shù)量之和，可推斷出C項(xiàng)為正確答案。 Which pattern on the righ

54、t belongs in the group on the left? 2007年B類決賽【答案】B 【解析】左邊四個(gè)圖形均由兩個(gè)圓形和兩個(gè)正方形組成，符合這一模式的只有B項(xiàng)。 Two views are shown of the cube below, which is lettered A, B, C, D, E, F. What is opposite the letter B? 2021年B類決賽【答案】C【解析】如果無(wú)法抽象想象出來(lái)，那么可以通過(guò)畫立體圖或用橡皮實(shí)物演示的方式幫助解題。What comes next in the above sequence? 2021年B類初賽【答

55、案】E【解析】前五個(gè)數(shù)與后五個(gè)數(shù)方向正好相反，按順序，接下來(lái)應(yīng)該是和5相反的數(shù)，所以選擇E。 If the figure below on the left was folded together it would make a box. Imagine the box is made of paper or card, so that you cannot see through it. You have to say which of the alternatives would be made from the unfolded figure on the left.2007年A類決賽

56、A. B. C. D.【答案】A 【解析】在左圖中，把左邊的第一個(gè)方塊作為底邊時(shí)，帶黑色三角的方塊在旁邊出現(xiàn)，因而可知A正確。95 Which cube cannot be made from the given net? 2021年A類決賽【答案】 B【解析】觀察展開圖可知，只有兩面是由四個(gè)小正方塊組成，并且這兩面是相對(duì)的，不可能出現(xiàn)B項(xiàng)中兩面相鄰的情況。所以答案選B。(三三) 語(yǔ)言文字題語(yǔ)言文字題語(yǔ)言文字題一般是圍繞單詞或字母設(shè)置問(wèn)題，語(yǔ)言文字題一般是圍繞單詞或字母設(shè)置問(wèn)題，通過(guò)單詞的音形義、字母的排列順序來(lái)解題；有時(shí)通過(guò)單詞的音形義、字母的排列順序來(lái)解題；有時(shí)語(yǔ)言文字題考察語(yǔ)言邏輯能力，

57、要求考生根據(jù)試題語(yǔ)言文字題考察語(yǔ)言邏輯能力，要求考生根據(jù)試題的語(yǔ)言描述答復(fù)以下問(wèn)題；有時(shí)語(yǔ)言文字題類似于的語(yǔ)言描述答復(fù)以下問(wèn)題；有時(shí)語(yǔ)言文字題類似于猜謎或腦筋急轉(zhuǎn)彎，要求考生除了具備根本的語(yǔ)言猜謎或腦筋急轉(zhuǎn)彎，要求考生除了具備根本的語(yǔ)言知識(shí)，還需要有豐富的想象力和快速反響能力。知識(shí)，還需要有豐富的想象力和快速反響能力。A. 根據(jù)單詞的音形義根據(jù)單詞的音形義B. 根據(jù)字母的排列順序根據(jù)字母的排列順序C. 根據(jù)語(yǔ)言邏輯根據(jù)語(yǔ)言邏輯D. 猜謎題猜謎題A. 根據(jù)單詞的音形義根據(jù)單詞的音形義86 Change MILK to WINE, one letter at a time, in three st

58、eps. 2021年年D類初賽類初賽【答案】【答案】MILK, MILE, MINE, WINE 或者或者 MILK, MINK, WINK, WINE91 Change one letter in each of the following two words to produce a well-known phrase. 2021年D類決賽 ALTER ALE【答案】after all 【解析】將alter中的l換成f，ale中的e換成l，可以得到短語(yǔ)after all畢竟。94 Which two words are closest in meaning? 2021年D類初賽 cycle

59、，hawk，convey，extort，peddle，summon【答案】hawk; peddle 【解析】hawk和peddle均可表示“散布、傳播的意思。cycle循環(huán)；騎自行車。convey傳知，傳達(dá)；通報(bào)。extort敲詐，訛詐。summon召喚；振奮；傳喚。91 Cats hide their paws. What is the possible Chinese meaning of the sentence? 2021年D類初賽【答案】大智假設(shè)愚；大巧假設(shè)拙【解析】Cats hide their paws，諺語(yǔ)“大智假設(shè)愚；大巧假設(shè)拙的意思。 Which three letter

60、word, when placed in the brackets, forms two different words: one with the letter on the left outside the brackets and the other with the letters on the right? 2021年C類決賽Y () RING【答案】EAR 【解析】year年；earring耳環(huán)，耳飾。47 Which letter can fill in the bracket? 2007年C類決賽 666(S) 389(T) 972(N) 707( ) A. Z B. N C.