2014-05-19 15:38:39 来源: Collegeboard 责编:楷维留学指南
2014年5月13日SAT真题
Mathematics > Standard Multiple Choice 数学选择
Read the following SAT test question and then click on a button to select your answer.
Triangle
is isosceles, and the measure of angle
is
. What must be the measure of another angle of this triangle?
(A)![]()
(B)![]()
(C)![]()
(D)![]()
(E) It cannot be determined from the information given.
2014年5月13日SAT考试官方每日一题答案:E
is isosceles, and the measure of angle
is
. Let the measure of angle
be
, and let the measure of angle
be
. The sum of the measures of the angles of a triangle is
, so
. An isosceles triangle has two angles of equal measure, so
, or
, or
.
, then
, so
, and the measures of the angles of the triangle are
,
and
.
, then
, so
, and the measures of the angles of the triangle are
,
and
.
, then
, so
, and
. In this case, the measures of the angles of the triangle are
,
and
.Hence if the measure of angle
is
, the possible measures of angles
and
, respectively, are
and
;
and
; and
and
. Therefore, it is not possible to determine what must be the measure of another angle of this triangle.
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