Re: [計量] 10/13~10/18 印度數學問題

看板GRE (GRE入學考試)作者nehsband (bibo)時間15年前 (2010/10/23 13:48)推噓0(0推 0噓 0→)

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: 10/18 印度數學 : http://www.drrajus.com/forum/viewtopic.php?t=7902 : 3. The term (36)^122 is not divisible by which of the following? : A. 4 : B. 6 : C. 8 : D. 10 : 答案是D.10 36=2^2x3^2 36的因數中沒有5,故無法被10整除 : 7. (有圖)Given a figure like above, a square ABCD with ‘E’ and ‘F’ as the midpoints of BC and CD, find the ratio of area of triangle FCE to the area of triangle AEF? : 我是假設他AB的邊長是2下去算，我算出來是2/5根號2 畫一條AC輔助線，交EF於G(自己假設的名子) 三角形EFC面積為1/2，可知三角形CGF面積為1/4 又三角形ABF面積為1，所以三角形AGF面積為2x2/2-1-1/4=3/4 則三角形AEF面積為3/2 故面積比FCE:AEF=1/2:3/2=1:3 : 8. Given two cylinders A and B of radius 1.5 and 3 respectively and the height of the cylinders A and B is 10ft. The water in the cylinder is filled up to 8ft and cylinder B is empty. If the water from cylinder A is poured into cylinder B, then what is the height of the liquid in cylinder B? : 這題題目意思我不太懂... 兩個圓筒容器(圓柱狀)，圓A半徑是1.5，圓B半徑是3，兩個容器的高度都是10 feet. 把水倒入A，使水面刻度到達8 feet的位置，若B原本是空的，把A裡面的水倒入B，則B的刻度值會是多少? : 9. Given a line equation 2x + y =6. Which of the following lines intersects the given line? : A. 2x + y = 2 : B. x – 2y = 4 : C. x^2 = 4y + 1 : & so on……… : 答案是B 題目2x + y = 6斜率是-2 2x + y = 2斜率也是-2 但截距不同，平行線，不相交 x–2y = 4斜率是1/2和題目垂直，因為線是無限延伸，會相交 x^2 = 4y + 1 是拋物線，頂點是(0,-1/4)，開口向上，也會相交的樣子.... : 10. Given three types of frames with their respective costs. : 10 frames -------- $10 each : 5 frames --------- $15 each : 7 frames --------- $12 each : Find the average cost of the frame? : 我算出11又17/22 我和你算一樣 : 11. Given an equation of a line ‘L’ as 3x + 4y = 6. If another line ‘M’ passes through these two points (-1, 5) and (0, 3), then : Col A: Slope of line L : Col B: Slope of line M : col B我算-2 M的斜率是-2，而-2<-3/4 L的斜率 : 12. Given two persons X and Y. The person X moving in a straight line path takes 1 min to travel from A to B and person Y moving along the semicircular path takes 2mins to travel from A to B. : Col A: Average Speed of person X : Col B: Average Speed of person Y : 這題請問是按照常識解嗎，直線速度快?所以是B? 設圓半徑是1 AB直線=2 AB半圓=2xpix1/2=pi X速率=2/1=2 Y速率=pi/2近似於3.14/2=1.57 所以是選A 大概是這樣，答案僅公參考。 -- ※ 發信站: 批踢踢實業坊(ptt.cc) ◆ From: 140.112.244.190