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.
              已知平面向量\( \overrightarrow{a}=(2,1), \overrightarrow{b}=(2,x).\)且\(( \overrightarrow{a}+2 \overrightarrow{b})⊥( \overrightarrow{a}- \overrightarrow{b})\),则\(x=\) ______ .
            • 5.
              设向量\( \overrightarrow{a}=(x,2), \overrightarrow{b}=(1,-1)\),且\(( \overrightarrow{a}+ \overrightarrow{b})⊥ \overrightarrow{b}\),则\(x\)的值为\((\)  \()\)
              A.\(2\)
              B.\(1\)
              C.\(-1\)
              D.\(0\)
            • 6.
              若向量\( \overrightarrow{m}=(2k-1,k)\)与向量\( \overrightarrow{n}=(4,1)\)共线,则\( \overrightarrow{m}\cdot \overrightarrow{n}=(\)  \()\)
              A.\(0\)
              B.\(4\)
              C.\(- \dfrac {9}{2}\)
              D.\(- \dfrac {17}{2}\)
            • 7.
              已知向量\( \overrightarrow{a}=(2,-1)\),\( \overrightarrow{b}=(1,3)\),且\( \overrightarrow{a}⊥( \overrightarrow{a}+m \overrightarrow{b})\),则\(m=\) ______ .
            • 8.
              已知向量\( \overrightarrow{a}=(-1,2)\),\( \overrightarrow{b}=(1,3)\),则\(|2 \overrightarrow{a}- \overrightarrow{b}|=\) ______ .
            • 9.
              已知向量\( \overrightarrow{AB}=(m,5)\),\( \overrightarrow{AC}=(4,n)\),\( \overrightarrow{BC}=(7,6)\),则\(m+n\)的值为 ______ .
            • 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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