下面是是2011年10月28日的SAT官方每日一题的内容,是关于数学方面的,题型是选择。SAT官方每日一题是collegeboard每天都会发布的题目,关于SAT考试的三个部分的各个题型。下面我们就一起来看一下这个SAT官方每日一题吧。
SAT官方每日一题之数学---选择:
Mathematics > Standard Multiple Choice
Read the following SAT test question and then click on a button to select your answer.
The stopping distance of a car is the number of feet that the car travels after the driver starts applying the brakes. The stopping distance of a certain car is directly proportional to the square of the speed of the car, in miles per hour, at the time the brakes are first applied. If the car’s stopping distance for an initial speed of miles per hour is
feet, what is its stopping distance for an initial speed of
miles per hour?
Answer Choices
(A) feet
(B) feet
(C) feet
(D) feet
(E) feet
The correct answer is D
Explanation
The stopping distance is directly proportional to the square of the initial speed of the car. If represents the initial speed of the car, in miles per hour, and
represents the stopping distance, you have that the stopping distance is a function of
and that
, where
is a constant. Since the car’s stopping distance is
feet for an initial speed of
miles per hour, you know that
. Therefore,
, and the car's stopping distance for an initial speed of
miles per hour is
feet.
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下面是一道和SAT官方每日一题相似的题目,供大家练习:
If is divisible by
,
, and
, which of the following is also divisible by these numbers?
Answer Choices
(A)
(B)
(C)
(D)
(E)
The correct answer is D
Explanation
Difficulty: Medium
Since is divisible by
,
, and
,
must be a multiple of
, as
is the least common multiple of
,
, and
. Some multiples of
are
,
,
,
, and
.
If you add two multiples of , the sum will also be a multiple of
. For example,
and
are multiples of
and their sum,
, is also a multiple of
.
If you add a multiple of to a number that is not a multiple of
, the sum will not be a multiple of
. For example,
is a multiple of
and
is not. Their sum,
, is not a multiple of
.
The question asks which answer choice is divisible by ,
, and
; that is, which answer choice is a multiple of
. All the answer choices are in the form of "
plus a number." Only choice (D),
, has
added to a multiple of
. The sum of
and
is also a multiple of
, so the correct answer is choice (D).
以上就是关于2011年10月28日SAT官方每日一题中数学选择部分的详细内容,包括了题目和选项以及答案,后面附有一道相关的练习题。大家可以在备考SAT的过程中关注SAT每日一题的内容,这样就可以更好有不间断的练习,也就能在日积月累的过程中得到提高。
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