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Problem 13
AMC 8 2000 Problem 13
AMC8 2000 年第 13 题
三角形
★★★☆☆
In triangle
C
A
T
CAT
C
A
T
, we have
∠
A
C
T
=
∠
A
T
C
\angle ACT =\angle ATC
∠
A
C
T
=
∠
A
T
C
and
∠
C
A
T
=
36
∘
\angle CAT = 36^\circ
∠
C
A
T
=
3
6
∘
. If
T
R
‾
\overline{TR}
T
R
bisects
∠
A
T
C
\angle ATC
∠
A
T
C
, then
∠
C
R
T
=
\angle CRT =
∠
C
R
T
=
在三角形
C
A
T
CAT
C
A
T
中，
∠
A
C
T
=
∠
A
T
C
\angle ACT = \angle ATC
∠
A
C
T
=
∠
A
T
C
且
∠
C
A
T
=
36
∘
\angle CAT = 36^\circ
∠
C
A
T
=
3
6
∘
。若
T
R
‾
\overline{TR}
T
R
平分
∠
A
T
C
\angle ATC
∠
A
T
C
，则
∠
C
R
T
=
\angle CRT =
∠
C
R
T
=
A.
36
∘
36^\circ
3
6
∘
B.
54
∘
54^\circ
5
4
∘
C.
72
∘
72^\circ
7
2
∘
D.
90
∘
90^\circ
9
0
∘
E.
108
∘
108^\circ
10
8
∘
正确答案 · Correct Answer
C
解析 · Solution
解析整理中
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