gaokao 2011 Q18

gaokao · China · shanghai-arts Vectors Introduction & 2D Section Ratios and Intersection via Vectors
18. Let $A_1, A_2, A_3, A_4$ be 4 distinct points in the plane. Then the number of points $M$ such that $\overrightarrow{MA_1} + \overrightarrow{MA_2} + \overrightarrow{MA_3} + \overrightarrow{MA_4} = \overrightarrow{0}$ is ( )
(A) 0
(B) 1
(C) 2
(D) 4
III. Solution Questions (Total: 74 points) This section contains 5 questions. When solving each question, necessary steps must be shown in the designated area on the answer sheet.
18. Let $A_1, A_2, A_3, A_4$ be 4 distinct points in the plane. Then the number of points $M$ such that $\overrightarrow{MA_1} + \overrightarrow{MA_2} + \overrightarrow{MA_3} + \overrightarrow{MA_4} = \overrightarrow{0}$ is ( )\\
(A) 0\\
(B) 1\\
(C) 2\\
(D) 4

III. Solution Questions (Total: 74 points) This section contains 5 questions. When solving each question, necessary steps must be shown in the designated area on the answer sheet.