优优班--学霸训练营 > 知识点挑题
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            • 1.
              已知向量\( \overrightarrow{a}=(2,4,5)\),\( \overrightarrow{b}=(3,x,y)\),分别是直线\(l_{1}\)、\(l_{2}\) 的方向向量,若\(l_{1}/\!/l_{2}\),则\((\)  \()\)
              A.\(x=6\),\(y=15\)
              B.\(x=3\),\(y=15\)
              C.\(x= \dfrac {8}{3}\),\(y= \dfrac {10}{3}\)
              D.\(x=6\),\(y= \dfrac {15}{2}\)
            • 2.
              已知直线\(l_{1}\)的方向向量\( \overrightarrow{m}=(2,m,1)\),\(l_{2}\)的方向向量\( \overrightarrow{n}=(1, \dfrac {1}{2},2)\),且\(l_{2}⊥l_{1}\),则\(m=(\)  \()\)
              A.\(8\)
              B.\(-8\)
              C.\(1\)
              D.\(-1\)
            • 3.

              在正方体\(ABCD - A_{1}B_{1}C_{1}D_{1}\)中,\(O\)是\(BD\)的中点,点\(P\)在线段\(B_{1}D_{1}\)上,直线\(OP\)与平面\(A_{1}BD\)所成的角为\(α\),则\(\sin α\)的取值范围是 \((\)  \()\)

              A.\([\dfrac{\sqrt{2}}{3},\dfrac{\sqrt{3}}{3}]\) 
              B.\([\dfrac{1}{3},\dfrac{1}{2}]\)
              C.\([\dfrac{\sqrt{3}}{4},\dfrac{\sqrt{3}}{3}]\) 
              D.\([\dfrac{1}{4},\dfrac{1}{3}]\)
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