AMC10 2001 A
AMC10 2001 A · Q4
AMC10 2001 A · Q4. It mainly tests Geometry misc.
What is the maximum number for the possible points of intersection of a circle and a triangle?
圆与三角形可能相交的最大点数是多少？
(A)
2
2
(B)
3
3
(C)
4
4
(D)
5
5
(E)
6
6
Answer
Correct choice: (E)
正确答案：（E）
Solution
The circle can intersect at most two points of each side of the triangle, so the number can be no greater than six. The figure shows that the number can indeed be six.
圆最多可与三角形每条边相交两点，因此点数不超过六。图示表明确实可以达到六点。
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