优优班--学霸训练营 > 知识点挑题
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            • 1. 已知M(2,5),N(3,-2),点P在直线上,且满足=3.则点P的坐标为 ______
            • 2.
              已知\(M\)是\(\triangle ABC\)的\(BC\)边上的中点,若向量\(\overrightarrow{AB}= \overrightarrow{a} \),\(\overrightarrow{AC}= \overrightarrow{b} \),则向量\( \overrightarrow{AM}\)等于\((\)  \()\)
              A.\( \dfrac {1}{2}( \overrightarrow{a}- \overrightarrow{b})\)
              B.\(\dfrac{1}{2}\left( \overrightarrow{b}- \overrightarrow{a}\right) \)
              C.\(\dfrac{1}{2}\left( \overrightarrow{a}+ \overrightarrow{b}\right) \)
              D.\(- \dfrac{1}{2}\left( \overrightarrow{a}+ \overrightarrow{b}\right) \)
            • 3.
              已知点\(A(-1,2)\),\(B(1,-3)\),点\(P\)在线段\(AB\)的延长线上,且\( \dfrac {| \overrightarrow{AP}|}{| \overrightarrow{PB}|}=3\),则点\(P\)的坐标为\((\)  \()\)
              A.\((3,- \dfrac {11}{2})\)
              B.\(( \dfrac {1}{2},- \dfrac {11}{4})\)
              C.\((2,- \dfrac {11}{2})\)
              D.\(( \dfrac {1}{2},- \dfrac {7}{4})\)
            • 4.
              如图,在\(\triangle ABC\)中,线段\(BE\),\(CF\)交于点\(P\),设向量\( \overrightarrow{AB}= \overrightarrow{a}, \overrightarrow{AC}= \overrightarrow{b}, \overrightarrow{AP}= \overrightarrow{c}, \overrightarrow{AF}= \dfrac {2}{3} \overrightarrow{a}\),\( \overrightarrow{AE}= \dfrac {1}{2} \overrightarrow{b}\),则向量\( \overrightarrow{c}\)可以表示为\((\)  \()\)
              A.\( \overrightarrow{c}= \dfrac {3}{4} \overrightarrow{a}+ \dfrac {1}{2} \overrightarrow{b}\)
              B.\( \overrightarrow{c}= \dfrac {1}{2} \overrightarrow{a}+ \dfrac {3}{4} \overrightarrow{b}\)
              C.\( \overrightarrow{c}= \dfrac {1}{2} \overrightarrow{a}+ \dfrac {1}{4} \overrightarrow{b}\)
              D.\( \overrightarrow{c}= \dfrac {1}{4} \overline {a}+ \dfrac {1}{2} \overline {b}\)
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