优优班--学霸训练营 > 知识点挑题
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            • 1.
              已知向量\( \overrightarrow{OA}=(2,2)\),\( \overrightarrow{OB}=(5,3)\),则\(| \overrightarrow{OA}- \overrightarrow{AB}|=(\)  \()\)
              A.\(10\)
              B.\( \sqrt {10}\)
              C.\( \sqrt {2}\)
              D.\(2\)
            • 2.
              已知向量\( \overrightarrow{a}=(3,-1), \overrightarrow{b}=(x,-2)\),且\( \overrightarrow{a}⊥ \overrightarrow{b}\),则\(x\)等于\((\)  \()\)
              A.\( \dfrac {2}{3}\)
              B.\(- \dfrac {2}{3}\)
              C.\(-6\)
              D.\(6\)
            • 3.
              在\(\triangle ABC\)中,\( \overrightarrow{AB}=(2,4)\),\( \overrightarrow{AC}=(1,3)\),则\( \overrightarrow{CB}=(\)  \()\)
              A.\((3,7)\)
              B.\((3,5)\)
              C.\((1,1)\)
              D.\((1,-1)\)
            • 4.
              已知点\(A(0,1)\),\(B(3,2)\),向量\( \overrightarrow{BC}=(-7,-4)\),则向量\( \overrightarrow{AC}=(\)  \()\)
              A.\((10,7)\)
              B.\((10,5)\)
              C.\((-4,-3)\)
              D.\((-4,-1)\)
            • 5.
              已知平面向量\( \overrightarrow{a}=(2,1), \overrightarrow{b}=(2,x).\)且\(( \overrightarrow{a}+2 \overrightarrow{b})⊥( \overrightarrow{a}- \overrightarrow{b})\),则\(x=\) ______ .
            • 6.
              若向量\( \overrightarrow{a}=(-2,0), \overrightarrow{b}=(2,1), \overrightarrow{c}=(x,1)\)满足条件\(3 \overrightarrow{a}+ \overrightarrow{b}\)与\( \overrightarrow{c}\)共线,则\(x\)的值为\((\)  \()\)
              A.\(-2\)
              B.\(-4\)
              C.\(2\)
              D.\(4\)
            • 7.
              已知\( \overrightarrow{a}=(1,-1), \overrightarrow{b}=(t,1)\),若\(( \overrightarrow{a}+ \overrightarrow{b})/\!/( \overrightarrow{a}- \overrightarrow{b})\),则实数\(t=\) ______ .
            • 8.
              已知向量\( \overrightarrow{a}=(1,2)\),\( \overrightarrow{b}=(2,-2)\),\( \overrightarrow{c}=(1,λ).\)若\( \overrightarrow{c}/\!/(2 \overrightarrow{a}+ \overrightarrow{b})\),则\(λ=\) ______ .
            • 9. 已知向量\( \overrightarrow{a}=(2,4)\),\( \overrightarrow{b}=(-1,1)\),则\(2 \overrightarrow{a}- \overrightarrow{b}=(\)  \()\)
              A.\((5,7)\)
              B.\((5,9)\)
              C.\((3,7)\)
              D.\((3,9)\)
            • 10.
              已知向量\( \overrightarrow{a}=(1,1)\),\( \overrightarrow{b}=(2,x)\)若\( \overrightarrow{a}+ \overrightarrow{b}\)与\( \overrightarrow{a}- \overrightarrow{b}\)平行,则实数\(x\)的值是\((\)  \()\)
              A.\(-2\)
              B.\(0\)
              C.\(1\)
              D.\(2\)
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