优优班--学霸训练营 > 知识点挑题
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            • 1.
              已知向量\( \overrightarrow{p}=(2,-3)\),\( \overrightarrow{q}=(x,6)\),且\( \overrightarrow{p}/\!/ \overrightarrow{q}\),则\(| \overrightarrow{p}+ \overrightarrow{q}|\)的值为\((\)  \()\)
              A.\(13\)
              B.\(14\)
              C.\( \sqrt {13}\)
              D.\( \sqrt {14}\)
            • 2.
              已知平面向量\( \overrightarrow{a}=(1,-2)\),\( \overrightarrow{b}=(2,m)\),且\( \overrightarrow{a}/\!/ \overrightarrow{b}\),则\(m=(\)  \()\)
              A.\(1\)
              B.\(-1\)
              C.\(4\)
              D.\(-4\)
            • 3.
              已知向量\( \overrightarrow{a}=(1,2)\),\( \overrightarrow{b}=(x,-4)\),若\( \overrightarrow{a}/\!/ \overrightarrow{b}\),则\(x\)的值为\((\)  \()\)
              A.\(-2\)
              B.\(-8\)
              C.\(2\)
              D.\(8\)
            • 4.
              已知\( \overrightarrow{a}=(m,3)\),\( \overrightarrow{b}=(-2,2)\),且\(( \overrightarrow{a}- \overrightarrow{b})/\!/ \overrightarrow{b}\),则\(m=(\)  \()\)
              A.\(-3\)
              B.\(-1\)
              C.\(1\)
              D.\(3\)
            • 5.
              已知向量\( \overrightarrow{a}=(1,2)\),\( \overrightarrow{b}=(0,-2)\),\( \overrightarrow{c}=(-1,λ)\),若\((2 \overrightarrow{a}- \overrightarrow{b})/\!/ \overrightarrow{c}\),则实数\(λ=(\)  \()\)
              A.\(-3\)
              B.\( \dfrac {1}{3}\)
              C.\(1\)
              D.\(3\)
            • 6.

              已知向量\(\overrightarrow{a}=(3,4)\),\(\overrightarrow{b}=\left(\sin α,\cos α\right) \)且\(\overrightarrow{a} /\!/\overrightarrow{b}\),则\(\tan \alpha \)等于\((\)    \()\)                                               

              A.\(\dfrac{3}{4}\)
              B.\(-\dfrac{3}{4}\)
              C.\(\dfrac{4}{3}\)
              D.\(-\dfrac{4}{3}\)
            • 7. 已知向量\( \overrightarrow{a}=(2,1)\),\( \overrightarrow{b}=(4,x)\),且\( \overrightarrow{a}\:/\!/ \overrightarrow{b}\),则\(x\)的值为\((\)  \()\)
              A.\(-2\)
              B.\(2\)
              C.\(-8\)
              D.\(8\)
            • 8.

              已知向量\( \overset{→}{a}=(1,3), \overset{→}{b}=(2,m) \),若\( \overset{→}{a} \)与\( \overset{→}{a}+2 \overset{→}{b} \)平行,则\(m\)的值为\((\)  \()\)


              A.\(1\)        
              B.\(-1\)           
              C.\(-2\)          
              D.\(6\)
            • 9.
              已知向量\( \overrightarrow{a}=(\cos α,-2)\),\( \overrightarrow{b}=(\sin α,1)\),且\( \overrightarrow{a}/\!/ \overrightarrow{b}\),则\(\tan (α- \dfrac {π}{4})\)等于\((\)  \()\)
              A.\(3\)
              B.\(-3\)
              C.\( \dfrac {1}{3}\)
              D.\(- \dfrac {1}{3}\)
            • 10.
              若向量\( \overrightarrow{a}=(1,2)\),\( \overrightarrow{b}=(x,-4)\),若\( \overrightarrow{a}/\!/ \overrightarrow{b}\)则\(x=(\)  \()\)
              A.\(4\)
              B.\(-4\)
              C.\(2\)
              D.\(-2\)
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