下面为大家整理的是5道SAT数学练习题的内容,后面附有详细的答案解析。SAT数学题拥有自己的逻辑关系和解题方法,这些都是大家在备考的时候,需要格外注意的部分。下面我们一起来看看这些数学题的详细内容吧。
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1.The graph of is shown above. If
, and if
is on the graph of
, which of the following must be true?
Answer Choices
(A)
(B)
(C)
(D)
(E)
2.If , what is the value of
?
Answer Choices
(A)
(B)
(C)
(D)
(E) It cannot be determined from the information given.
3.If , which of the following must be equivalent to
?
Answer Choices
(A)
(B)
(C)
(D)
(E)
4.If , which of the following statements must also be true?
.
.
.
Answer Choices
(A) None
(B) only
(C) only
(D) only
(E) and
5.If the function is defined by
, where
, for which of the following values of
is
undefined?
Answer Choices
(A) None
(B) only
(C) only
(D) and
only
(E) ,
, and
Explanation
1.The correct answer is D
The second coordinate of a point on the graph corresponds to . From the graph, you can see that for
, the smallest value of
is
and the greatest value is
, so
.
2.The correct answer is A
Since , it follows that
, and so
. Therefore,
.
3.The correct answer is E
If , then
, so
.
4.The correct answer is E
The quantity can be expressed as
. If
, then
and
. Since
, either
or
or both. Therefore, statement
must be true, but statement
,
, is not always true. For statement
, you can write
, and since
, it follows that
. Therefore, both statements
and
must be true.
5.The correct answer is C
If , then
. If
, then
. If
, then
, which is not defined because division by
is undefined. Therefore, of the three values,
,
, and
, the only one for which
is undefined is
. Thus the correct response is
only.
以上就是这5道SAT数学练习题及答案的详细内容,包括了一些常见的知识点。大家可以在备考的时候,对此加以适当的练习和应用,测试自己在数学方面知识点的掌握情况。
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