Re: [問題] 陳向東數學一些問題

作者: chinfanster (有肩膀的男人)   2014-08-29 19:30:30
※ 引述《Linbookhow (寂寞黑絲襪)》之銘言:
: ※ 引述《GOKU123 (GOKU)》之銘言:
: : p.166
: : 第25題
: : A rectangular floor with an area of 12 square meter is drawn to scale with 2
: : centimeters representing L meter.
: : QA: The area of scale drawing of the floor OB: 24 square centimeters
: : Ans: (A) QA>QB
: : 問題: 如果把 2 cm 縮小為 L m, 設原圖形兩邊長為x,y. 新圖型的邊長應為2x/L,2y/L
: : xy=12 那面積變成4xy/L^2 = 48/L^2 那麼大小不就取決於L? 答案應該是(D)?
: : p.255
: : 第6題 比大小
: : For the line with equation y-ax+b, ab≠0,
: : the x-intercept is twice the y-intercept.
: : QA:The slope of the line OB:1/2
: : 答案是B
: : 問題是:X截距為Y截距兩倍,斜率不是應該會有正或負?感覺斜率應該是±1/2?
: 截距有正有負,如果斜率為正的話,這條直線的X截距與Y截距一定是一正一負,
: 怎麼樣都不可能有二倍的關係!
可是截距的定義是絕對值阿!?
沒有正負號的問題~
陳向東這一題給錯答案了吧?
: : p.257
: : 第17題
: : In the xy-plane, line k is a line that does not pass through the origin.
: : Which of the following statements individually provide(s) sufficient
: : additional information to determine whhether the slope of line k is negative?
: : Indicate all such statements.
: : (A) The x-intercept of line k is twice the y-intercept of line k
: : (B) The product of the x-intercept and the y-intercept of line k is positive.
: : (C) Line k passes through the points(a,b) and(r,s), where(a-r)(b-s)<0
: : Ans:ABC
: : 問題:(A)裡面 同樣截距是兩倍,斜率應該會是有正有負吧?
: 理由同上!
: : p.258
: : 第20題
: : If the total of commuters to Country W is twice the number to Country Z, and
: : if the average number of vehicles that transport commuters daily to Country W
: : is 30,000, what is the approximate average number of vehicles that transport
: : commuters daily to Country Z?
: : Ans:(A) 12,000
: : 問題:本題有附圖,但我覺得題目跟圖表無關
: : 算法為:total=average*days 而days為常數,
: : 所以 total(W)為total(Z)的兩倍;那average(Z)就應該是average(W)的1/2
: : 30000/2=15000

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