2013-11-20 11:39:24 来源: 楷维留学指南 责编:楷维留学指南
2013年10月10日SAT真题
SAT真题类型:Mathematics > Standard Multiple Choice 数学选择
Read the following SAT test question and then click on a button to select your answer.

In the figure above, the circle with center
and the circle with center
are tangent at point
. If the circles each have radius
, and if line
is tangent to the circle with center
at point
, what is the value of
?
(A)![]()
(B)![]()
(C)![]()
(D)![]()
(E) It cannot be determined from the information given.
2013年10月10日SAT考试官方每日一题答案:B解析:The circles each have radius
, so
. Since the circles are tangent at point
, segment
contains
and
. Also,
and
are perpendicular because a line tangent to a circle forms a right angle with the radius at the point of tangency. Therefore,
is a right triangle with hypotenuse
and side
of length
. A right triangle with one side of length one-half that of its hypotenuse is a
triangle. The
angle is opposite side
, so
.
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