下面是2013年3月11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 first term of the sequence above is. Which of the following could be the formula for finding the
term of this sequence for any positive integer
?
(A)
(B)
(C)
(D)
(E)
The correct answer is B
Explanation
You do not know the value of theterm or the
term of the sequence, but you do know the values of the
,
, and
terms. The correct formula must give
as the value of the
term,
as the value of the
term, and
as the value of the
term. Choice E,
, gives
, not
, as the value of the
term. Choice A,
, gives
, not
, as the value of the
term. Choice C,
, gives
, not
, as the value of the
term. Choice D,
, gives
, not
, as the value of the
term. This leaves choice B,
, which gives the correct values for the
,
, and
terms of the sequence.
下面是一道和SAT官方每日一题相似的题目,供大家练习:
If the graph of the function in the
-plane contains the points
,
, and
, which of the following CANNOT be true?
Answer Choices
(A) The graph of has a maximum value.
(B) for all points
on the graph of
.
(C) The graph of is symmetric with respect to a line.
(D) The graph of is a line.
(E) The graph of is a parabola.
The correct answer is D
Explanation
If the graph of the function , which contains the points
,
, and
, were a line, then the slope of the segment connecting the points
and
would be the same as the slope of the segment connecting the points
and
. However, the slope of the segment connecting the points
and
is
, and the slope of the segment connecting the points
and
is
. Therefore, the graph of
cannot be a line.
The statements in the other four options could be true. For example, if the equation of were
, then the graph of
would contain the points
,
, and
. The graph of
would be a parabola symmetric with respect to the line with equation
. The maximum value of
would occur at the point
, and
would be true for all points
on the graph of
.
以上就是关于2013年3月11日SAT官方每日一题中数学部分的详细内容,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。