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            • 1.

              在\(\Delta ABC\)中,\(\angle BAC=120{}^\circ ,AB=2,AC=1,D\)是边\(BC \)上一点,\(DC=2BD, \)\(\overset{\to }{{{AD}}}\,\bullet \overset{\to }{{{BC}}}\,\)\(=\)

            • 2.
              已知\(\triangle ABC\)和点\(M\)满足\( \overrightarrow{MA}+ \overrightarrow{MB}+ \overrightarrow{MC}= \overrightarrow{0}.\)若存在实数\(m\)使得\( \overrightarrow{AB}+ \overrightarrow{AC}=m \overrightarrow{AM}\)成立,则\(m=(\)  \()\)
              A.\(2\)
              B.\(3\)
              C.\(4\)
              D.\(5\)
            • 3.
              已知\( \overrightarrow{OA}= \overrightarrow{a}\),\( \overrightarrow{OB}= \overrightarrow{b}\),\( \overrightarrow{OC}= \overrightarrow{c}\),\( \overrightarrow{OD}= \overrightarrow{d}\),且四边形\(ABCD\)为平行四边形,则\((\)  \()\)
              A.\( \overrightarrow{a}- \overrightarrow{b}+ \overrightarrow{c}- \overrightarrow{d}= \overrightarrow{0}\)
              B.\( \overrightarrow{a}- \overrightarrow{b}- \overrightarrow{c}+ \overrightarrow{d}= \overrightarrow{0}\)
              C.\( \overrightarrow{a}+ \overrightarrow{b}- \overrightarrow{c}- \overrightarrow{d}= \overrightarrow{0}\)
              D.\( \overrightarrow{a}+ \overrightarrow{b}+ \overrightarrow{c}+ \overrightarrow{d}= \overrightarrow{0}\)
            • 4.
              向量\( \overrightarrow{AB}\),\( \overrightarrow{CD}\),\( \overrightarrow{EF}\)在正方形网格中的位置如图所示,则\((\)  \()\)
              A.\( \overrightarrow{EF}= \dfrac {1}{3} \overrightarrow{AB}+ \dfrac {2}{3} \overrightarrow{CD}\)
              B.\( \overrightarrow{EF}= \dfrac {2}{3} \overrightarrow{AB}+ \dfrac {1}{3} \overrightarrow{CD}\)
              C.\( \overrightarrow{EF}= \overrightarrow{AB}+ \overrightarrow{CD}\)
              D.\( \overrightarrow{EF}= \dfrac {2}{3} \overrightarrow{AB}+ \dfrac {2}{3} \overrightarrow{CD}\)
            • 5.
              在\(\triangle ABC\)中,\( \overrightarrow{AB}= \overrightarrow{c}\),\( \overrightarrow{AC}= \overrightarrow{b}.\)若点\(D\)满足\( \overrightarrow{BD}=2 \overrightarrow{DC},{则} \overrightarrow{AD}=(\)  \()\)
              A.\( \dfrac {2}{3} \overrightarrow{b}+ \dfrac {1}{3} \overrightarrow{c}\)
              B.\( \dfrac {5}{3} \overrightarrow{c}- \dfrac {2}{3} \overrightarrow{b}\)
              C.\( \dfrac {2}{3} \overrightarrow{b}- \dfrac {1}{3} \overrightarrow{c}\)
              D.\( \dfrac {1}{3} \overrightarrow{b}+ \dfrac {2}{3} \overrightarrow{c}\)
            • 6.
              已知\(\triangle ABC\)中,点\(D\)在\(BC\)边上,且\( \overrightarrow{CD}=2 \overrightarrow{DB}, \overrightarrow{CD}=r \overrightarrow{AB}+s \overrightarrow{AC}\),则\(r+s\)的值是\((\)  \()\)
              A.\( \dfrac {2}{3}\)
              B.\( \dfrac {4}{3}\)
              C.\(-3\)
              D.\(0\)
            • 7.
              在三角形\(ABC\)中,\( \overrightarrow{BC}= \overrightarrow{a}, \overrightarrow{CA}= \overrightarrow{b}\),则\( \overrightarrow{AB}=(\)  \()\)
              A.\( \overrightarrow{a}- \overrightarrow{b}\)
              B.\( \overrightarrow{b}- \overrightarrow{a}\)
              C.\( \overrightarrow{b}+ \overrightarrow{a}\)
              D.\(- \overrightarrow{a}- \overrightarrow{b}\)
            • 8.
              在\(\triangle ABC\)中,\(BC=7\),\(AC=6\),\(\cos C= \dfrac {2 \sqrt {6}}{7}.\)若动点\(P\)满足\( \overrightarrow{AP}=(1-λ) \overrightarrow{AB}+ \dfrac {2λ}{3} \overrightarrow{AC}\),\((λ∈R)\),则点\(P\)的轨迹与直线\(BC\),\(AC\)所围成的封闭区域的面积为\((\)  \()\)
              A.\(5\)
              B.\(10\)
              C.\(2 \sqrt {6}\)
              D.\(4 \sqrt {6}\)
            • 9.

              \(\Delta ABC\)的三个内角\(A\),\(B\),\(C\)成等差数列, 且\((A\vec{B}+A\vec{C})\cdot B\vec{C}=0\)则\(\Delta ABC\)的 形状为\((\)  \()\)

              A.钝角三角形
              B.等边三角形
              C.直角三角形
              D.等腰直角三角形
            • 10.

              \(P\)是\(\triangle ABC\)所在平面上一点,满足\( \overset{→}{PA}+ \overset{→}{PB}+ \overset{→}{PC}=2 \overset{→}{AB} \),若\(S_{\triangle ABC}=12\),则\(\triangle PAB\)的面积为\((\)   \()\)

              A.\(4\)
              B.\(6\)
              C.\(8\)
              D.\(16\)
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