已知向量
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=(-2,1),

=(-3,0),则
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在
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方向上的投影为( )
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科目:高中数学
来源:不详
题型:解答题
(12分)已知平面向量
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,
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.
(Ⅰ)若
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⊥

,求x的值;
(Ⅱ)若
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∥

,求|
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-
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|.
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科目:高中数学
来源:不详
题型:解答题
(本小题满分13分) 在平面直角坐标系

中,O为坐标原点,已知点A

(I)若
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求证:
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;
(II)若
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求

的值.
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科目:高中数学
来源:不详
题型:解答题
(本小题满分12分)
已知向量

,

,函数

.
(1)求

的最大值及相应的

的值;
(2)若

,求

的值.
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科目:高中数学
来源:不详
题型:填空题
设

是任意的非零平面向量且互不共线,以下四个命题:
①

;
②

;
③

;
④两单位向量
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平行,则

;
⑤将函数y=2x的图象按向量

平移后得到y=2x+6的图象,

的坐标可以有无数种情况。其中正确命题是
(填上正确命题的序号)
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科目:高中数学
来源:不详
题型:填空题
已知向量

满足

,且

的夹角为135°,

的夹角为120°,

,则
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_____________;
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科目:高中数学
来源:不详
题型:解答题
(本小题满分12分)
已知

(1)若
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,求

的值;
(2)若
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,且

,求
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与

的夹角。
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