Gaokao Math Practice Question
$\triangle A B C$ 中, 点 $D$ 在边 $A B$ 上, $C D$ 平分 $\angle A C B$, 若 $\overrightarrow{C B}=\vec{a}, \overrightarrow{C A}=\vec{b}, \mid \vec{a}$ $|=1,| \vec{b} \mid=2$, 则 $\overrightarrow{C D}=$ ($\qquad$)
- A.$\frac{1}{3} \vec{a}+\frac{2}{3} \vec{b}$
- B.$\frac{2}{3} \vec{a}+\frac{1}{3 b}$
- C.$\frac{3}{5} \vec{a}+\frac{4}{5} \vec{b}$
- D.$\frac{4}{5} \vec{a}+\frac{3}{5 b}$
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