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            • 1. 向量\( \overrightarrow{a}=(2,x)\),\( \overrightarrow{b}=(6,8)\),若\( \overrightarrow{a}\:/\!/ \overrightarrow{b}\),则\(x\)的值为\((\)  \()\)
              A.\( \dfrac {8}{3}\)
              B.\(2\)
              C.\( \dfrac {3}{2}\)
              D.\(- \dfrac {3}{2}\)
            • 2.

              已知\(\overset{\to }{{a}}\,=\left( -6,2 \right)\),\(\overset{\to }{{b}}\,=\left( m,-3 \right)\),且\(\overset{\to }{{a}}\,\parallel \overset{\to }{{b}}\,\),则\(m=\)_____________.

            • 3.

              如图,在\(Δ\) \(OBC\)中, \(A\)\(BC\)的中点, \(D\)\(OB\)的靠近 \(B\)点的一个三等分点, \(CD\)\(OA\)交于点 \(E\)\(.\)若 \(\overrightarrow{OE}=\lambda \overrightarrow{OA}\),求实数 \(\lambda \)的值.


            • 4.

              向量\(\overrightarrow{a}=(n,1) \) 与\(\overrightarrow{b}=(4,n) \)共线且方向相同,则\(n=\)\(\_\)    \(\_\) __

            • 5.
              若向量\( \overrightarrow{a}=(1,0)\),\( \overrightarrow{b}=(2,1)\),\( \overrightarrow{c}=(x,1)\)满足条件\(3 \overrightarrow{a}- \overrightarrow{b}\)与\( \overrightarrow{c}\)共线,则\(x\)的值\((\)  \()\)
              A.\(1\)
              B.\(-3\)
              C.\(-2\)
              D.\(-1\)
            • 6.

              已知平面向量\(\overrightarrow{a}=(1,2)\),\(\overrightarrow{b}=(-2,k)\),若\(\overrightarrow{a}\)与\(\overrightarrow{b}\)共线,则\(\left| 3\overrightarrow{a}+\overrightarrow{b} \right|\)为______________\(;\)

            • 7.

              已知\(D\)为\({\triangle }{ABC}\)的边\(AB\)上的一点,且\(\overrightarrow{{CD}}{=}\dfrac{1}{3}\overrightarrow{{AC}}{+}\lambda{⋅}\overrightarrow{{BC}}\),则实数\(\lambda\)的值为\(({  })\)


              A.\(\dfrac{2}{3}\)
              B.\({-}\dfrac{2}{3}\)
              C.\(\dfrac{4}{3}\)
              D.\({-}\dfrac{4}{3}\)
            • 8.

              \(∆ABC \)的内角\(A\),\(B\),\(C\)所对的边分别为\(a\),\(b\),\(c\)向量\(\overrightarrow{m}=(a, \sqrt{3}b) \)\(\overrightarrow{n}=(\cos A,\sin B) \)平行.

              \((\)Ⅰ\()\)求\(A\);
              \((\)Ⅱ\()\)若\(a= \sqrt{7} \),\(b=2\),求\(∆ABC \)的面积.
            • 9.

              已知向量\(\overrightarrow{a}=(1,1), \overrightarrow{b}=(-1,2) \),若\(( \overrightarrow{a}- \overrightarrow{b})/\!/(2 \overrightarrow{a}+t \overrightarrow{b}) \),则\(t=(\)    \()\)

              A.\(0\)            
              B.\(\dfrac{1}{2}\)
              C.\(-2\)
              D.\(-3\)
            • 10. 已知向量\(\overrightarrow{a}=(\cos x,\sin x)\),\(\overrightarrow{b}=(3,-\sqrt{3})\),\(x∈[0,π]\).
              \((1)\)若\(\overrightarrow{a}/\!/\overrightarrow{b}\),求\(x\)的值;\((2)\)记\(f(x)=\overrightarrow{a}\bullet \overrightarrow{b}\),求\(f(x)\)的最大值和最小值以及对应的\(x\)的值.
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