SAT官方指南经典例题多功能详解1(几何与应用题){KSM出品}.doc

1. In the figure above, point A is the center of the circle and the segments BD and CE are diameters. Which of the following statements is true?ACBDE64A.CA6 B.ED4 C.BA4 D.CA=4 E.ED=4分析：1.猜义：不知“segment、diameter”的意思时：看图，BD=CE很明显为直径，在看图上的长度标记和选项，即可知选择正确的选项。2.单词：segment n。线段（seg-=Sect-，词缀，意为“切”） diameter n。直径（dia- 穿过） statement n。声称3.解决问题：由题，AB=AC=AE=AD=6，BC=DE=4.所以选E4.。SPWXYZQR2. In the figure below, rectangles PQRS and WXYZ each have perimeter 12 and are inscribed in the circle. How many other rectangles with perimeter 12 can be inscribed in the circle.A. One B. Two C. Three D. Four E. More than four分析：1.猜义：不知“perimeter,inscribe”的意思时：看图，perimeter可能为面积或周长，无论如何理解，可见他们两个矩形都内接于圆，而且两个矩形全等。此时可做题了2.单词：perimeter n.周长（复习，peri-=周-， 类比period(周期)） inscribe n. 使内接（in-=在里头，scribe=写，写在里头。）3.解决问题：由题，可见有无数个全等的矩形满足题意，选E4.。3. In the figure below, XYZ is equilateral. The perimeter of the triangle is 6. If WY is a diameter of the circle with center O, then the area of the circle isY A.（(3)）/4 B. 2/3 C. 3/4 D. E. 3/2XOZW分析：1.猜义：XYZ 是equilateral？（猜测为等边，一、由看图得到，二、要不然后面给周长有什么用？）.perimeter为6（这个词不是面积（area），那只能是周长了）。WY是图形的diameter（看图知为直径），则圆的面积为？2.单词：equilateral adj.等边的（equil=equal,lateral古义为“边”）perimeter n.周长（peri-=周-， 类比period(周期)） diameter n。直径（dia- 穿过）3.解决问题：由题，可知选C4.。4.In rectangle PQRS below, arcs QT and RT are quarter circles with centers at P and S, respectively. If the radius of each quarter circle is 1, what is the area of S2? QPTRSS2分析：1.猜义：不知“respectively”的意思时：不影响理解2.单词：respectively adv.各自地（由“respect 方面”，演变而来的词） 3.解决问题：由题，S2=S（PQRS）-S(两个1/4圆)=2-（1/2）*4.。5. The cost of maintenance on an automobile increases each year by 10 percent, and Andrew paid $300 this year for maintenance on his automobile. If the cost c for maintenance on Andrews automobile n years from now is given by the function c(n)=300xn, what is the value of x?分析：1.猜义：不知“maintenance”的意思时：xx每年增加10%，今年300，, c(n)=300xn,求X2.单词：不重要，但还是讲讲 maintenance n.保养（maintain变过来） automobile n.汽车（auto-=自动，联想谐音词“奥拓”，mobile adj.可移动的，由move变过来）3.解决问题：由题，设n=1，则300x1=300*(1+10%),x=1.14.。6. The first term of a sequence is 20 and the second term is 8. The third term and each term thereafter is the average (arithmetic mean) of the two terms immediately preceding it. What is the value of the first term in the sequence that is NOT an integer?分析：1.猜义：不知“sequence, arithmetic”的意思时：第一项20，第二个8，第三个。“two terms immediately preceding it.”有“it”，故不把自身算在内，所以必然是前两项的平均数。2.单词： sequence n.顺序，序列 arithmetic adj.代数的 precede adj.先于（pre-前的，与succeed继承相对，联想：-cede=-ceed=走）3.解决问题：由题，算到第5个时为12.5，不为整数，所以为5.4.。7. Car A traveled 60 miles and averaged 20 miles per gallon of gasoline. If car B traveled 15 miles for each gallon of gasoline is used, how many miles had car B traveled when it had used the same amount of gasoline that car A used to travel 60 miles?分析：1.猜义：不知“gallon”的意思时：车A开了60英里，而平均每用了XX二十英里。车B平均每用了XX走十五英里。车B如果用了与车A一样多的gasoline，能走多少英里2.单词： gallon n. 加仑（1 gallon=8 pints（品脱）3.解决问题：由题，A 用了3加仑汽油，B则走了3*15=45miles4.。8. A machine mints coins at the rate of one coin per second. If it does this for 10 hours each day, approximately how many days will it take the machine to mint 360,000 coins?分析：1.猜义：不知“mint”的意思时：每秒1个硬币，一天干十小时，做360000个硬币大约要花几天？2.单词： mint n. 铸币（还有一个意思为“薄荷”）3.解决问题：由题，360000/(1*60*60*10)=10days4.。9. If there is no waste, how many square yards of carpeting is needed to cover a rectangular floor that is 12 feet by 18 feet?(1 yard =3 feet)分析：1.猜义：不知“yard”的意思时：12*18feet的地要多少square yard的地毯来XX？2.单词： yard n.码（1 yard=3 feet（英尺）3.解决问题：由题，12*18/(3*3)=24块4.。10. A total of k passengers went on a bus trip. Each of the n buses that were used to transport the passengers could seat a maximum of x passengers. If one bus had 3 empty seats and the remaining buses were filled, what function expresses the relationship among n, x, and k?分析：1.猜义：这个好像基本不用猜。2.单词： function n.函数3.解决问题：由题，k=n*x-34.。11. Edna and Nancy leave the house of a common friend at the same time and walk for 4 hours. Edna walks due east at the average rate of 4 kilometers per hour and Nancy walks due north at the average rate of 3 kilometers per hour. What is the straight-line distance between them, in kilometers, at the end of the 4 hours?分析：1.猜义：Edna 和 Nancy 同时从朋友家出发，走了4小时，Edna XX东每小时走4千米，Nancy XX北每小时走3千米。最终直线距离为？2.单词： due adv.正（这词还有很多意思，最好背下来，例如adj.预期、应给、由于（due to）3.解决问题：由题，(162*122)=204.。12. In a poll, 35 people were in favor of building a new library, 14 people were against it, and 1 person had no opinion. What fraction of those polled were in favor of building a new library?分析：1.猜义：在一次？中，35人？（看完后面后，猜出意为“支持”）建新图书馆，14人反对，1人没有看法。支持的人的分数是什么？2.单词： poll n.投票（古义为点人头数） in favor （of） 赞同（还有一个意思为“接替”）3.解决问题：由题，35/(35+14+1)=7/104.。13. When it is noon eastern standard time(EST) in New York City, it is 9:00 A.M. Pacific standard time (PST) in San Francisco. A plane took off from New York City at noon EST and arrived in San Francisco at 4:00 P.M. PST on the same day. If a second plane left San Francisco at noon PST and took exactly the same amount of time for the trip, what was the planes arrival time(EST) in New York City?分析：1.猜义：（好像这题长得有点让人觉得亚历山大）纽约EST正午=旧金山PST 9 AM。飞机正午EST 出发同日4 PM PST 到旧金山。如果第二架飞机正午PST出发后花了与第一架飞机相同的时间，那么到达纽约EST几点？2.单词： 没有好强调的3.解决问题：由题，时差为3小时，花费7小时，EST 10 PM4.。14. Samantha is packing for a trip. Of the towels in the closet, 6 are brown. She will randomly pick one of the towels to pack. If the probability is 2/5 that the towel she will pick is brown, how many towels are in the closet?分析：1.猜义：Samantha收东西去旅游。closet中所有XX有6条是褐色的，她randomly选一条towel装进包。装褐色towel可能性为2/5/,closet 中有几条towel？2.单词： closet n.衣橱(记忆：“close it”) towel n.毛巾 random n.随机的（谐音：“乱捣”）3.解决问题：由题，有6/(2/5)=1