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2. (5 分) 已知点 $A(0,1), B(3,2)$, 向量 $\overrightarrow{\mathrm{AC}}=(-4,-3)$, 则向量 $\overrightarrow{\mathrm{BC}}=$

Gaokao · Math · previous-year question

  1. A.$(-7,-4)$correct
  2. B.$(7,4)$
  3. C.$(-1,4)$
  4. D.$(1,4)$

Answer

A. $(-7,-4)$

Explanation

解：由已知点 $\mathrm{A}(0,1), \mathrm{B}(3,2)$, 得到 $\overrightarrow{\mathrm{AB}}=(3,1)$, 向量 $\overrightarrow{\mathrm{AC}}=($ $-4,-3)$ 则向量 $\overrightarrow{\mathrm{BC}}=\overrightarrow{\mathrm{AC}}-\overrightarrow{\mathrm{AB}}=(-7,-4)$; 故选: A.

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