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            • 1.

              已知向量\(a\),\(b\),其中\(a=(1,\sqrt{3})\),且\(a⊥(a-3b)\),则\(b\)在\(a\)上的投影为\((\)    \()\)

              A.\(\dfrac{4}{3}\)
              B.\(-\dfrac{4}{3}\)
              C.\(\dfrac{2}{3}\)
              D.\(-\dfrac{2}{3}\)
            • 2.

              如图,在矩形\(ABCD\)中,\(AB=2\),\(BC= \sqrt{3} \),\(E\)是\(CD\)的中点,那么\( \overrightarrow{AE}· \overrightarrow{DC}= (\)   \()\)


              A.\(4\)       
              B.\(2\)     
              C. \( \sqrt{3} \)
              D.\(1\)
            • 3. 已知在平行四边形\(ABCD\)中,\(\overrightarrow{AB}=(1,3)\),\(\overrightarrow{AC}=(2,5)\),则\(\overrightarrow{AD}\)在\(\overrightarrow{AC}\)上的投影为
              A.\(\dfrac{12\sqrt{5}}{2}\)
              B.\(\dfrac{12\sqrt{29}}{29}\)
              C.\(12\)
              D.\(\dfrac{46\sqrt{29}}{29}\)
            • 4. \(a·b=a·c(a\neq 0)\),则\(b=c.\)(    )

              A.\(√\)  
              B.\(×\)
            • 5.
              已知向量\( \overrightarrow{a}, \overrightarrow{b}\)的夹角为\(120^{\circ}\),且\(| \overrightarrow{a}|=2,| \overrightarrow{b}|=3\),则向量\(2 \overrightarrow{a}+3 \overrightarrow{b}\)在向量\(2 \overrightarrow{a}+ \overrightarrow{b}\)方向上的投影为 ______ .
            • 6.

              已知\(\overrightarrow{a}\cdot \overrightarrow{b}=12\),\(\left| \overrightarrow{a} \right|{=3,}\left| \overrightarrow{b} \right|{=5}\) ,则\(\overrightarrow{b}\)在\(\overrightarrow{a}\)方向上的投影为               

            • 7.

              设向量\( \overset{⇀}{a} \)、\( \overset{⇀}{b} \)满\( \overset{⇀}{a} ⋅ \overset{⇀}{b} =-8\),且向量\( \overset{⇀}{a} \)在向量\( \overset{⇀}{b} \)方向上的投影为\(-3 \sqrt{2} \),则\(| \overset{⇀}{b} |=\)             

            • 8.

              已知向量\( \overset{→}{a} \),\( \overset{→}{b} \)满足\(| \overset{→}{a}|=| \overset{→}{b}|=2 \),\( \overset{→}{a} \)与\( \overset{→}{b} \)的夹角为\(60^{\circ}\),则\( \overset{→}{b} \)在\( \overset{→}{a} \)上的投影是     

            • 9.

              已知\(|\)\(a\)\(|=4\),\(a\)\(b\)的夹角为\( \dfrac{π}{6}\),则\(a\)\(b\)方向上的投影为_____  ____.

            • 10. =(2,3), =(﹣4,7),则 方向上的投影为(  )
              A.
              B.
              C.
              D.
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