1. In the figure above, point A is the center of the circle and the gments BD and CE are diameters. Which of the following statements is true?
A.CA>6 B.ED>4 C.BA<4 D.CA=4 E.ED=4
分析:1.猜义:不知“gment、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:gment n。线段(g-=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E
4.。。。
2. 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,年月日格式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E
4.。。。
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 is
A.((√3)π)/4 B. 2π/3 C. 3π/4 D. π E. 3π/2
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-加油的英文, 类比period(周期))
bolt是什么意思 diameter n。直径(dia- 穿过)
3.解决问题:由题,可知选C
4.。。。
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?
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)*π
4.。。。
5. The cost of maintenance on an automobile increas each year by 10 percent, and Andrew paid $300 this year for maintenance on his automobile. If the cost c for maintenance on Andrew’s automobile n years from now is given by the function c(n)=300x^n, 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)=300x^n,求X
2.pogo是什么意思单词: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300x^1=300*(1+10%),x=1.1
4.。。。
6. The first term of a quence is 20 and the cond 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 quence that is NOT an integer?
分析:1.猜义:不知“quence, 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: quence 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=beneath the glory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 ud, how many miles had car B traveled when it had ud the same amount of gasoline that car A ud to travel 60 miles?
分析:1.猜义:不知“gallon…”的意思时:车distanceA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take my handA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=45miles
4.。。。
8. A machine mints coins at the rate of one coin per cond. If it does this for 10 hours each day, approximately how many days will it take the machine to mint 360,000 coins?herzberg
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)=10days
4.。。。
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 pasngers went on a bus trip. Each of the n bus that were ud to transport the pasngers could at a maximum of x pasngers. If one bus had 3 empty ats and the remaining bus were filled, what function express 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.休闲搭配函数
3.解决问题:由题,k=n*x-3
4.。。。
11. Edna and Nancy leave the hou 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?
陪同翻译多少钱