11. 在矩形
ABCD中,
AB=1,
BC=2,沿對角線
AC折成直二面角,則折后異面直線
AB與
CD所成的角為
A.a(chǎn)rccos
B.a(chǎn)rcsin
C.a(chǎn)rccos
D.a(chǎn)rccos
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科目:高中數(shù)學(xué)
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題型:解答題
(本題滿分12分)如圖,已知
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, 四邊形
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是梯形,
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∥
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,
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,
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,
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中
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點。
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(1)求證:
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∥平面
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;
(2)求異面直線
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與
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所成角的余弦值。
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科目:高中數(shù)學(xué)
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在棱長為1的正方形ABCD—A
1B
1C
1D
1的底面A
1B
1C
1D
1內(nèi)取一點E,使AE與AB、AD所成的角都是60°,則線段AE的長為 ( )
A.
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B.
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C.
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D.
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如圖,在△
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中,
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,
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,
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為
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的中點,沿
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將△
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折起到△
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的位置,使得直線
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與平面
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成
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角。
(1)若點
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到直線
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的距離為
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,求二面角
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的大�。�
(2)若
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,求
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邊的長。
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如圖、正方體
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中,二面角
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的度數(shù)是____________。
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科目:高中數(shù)學(xué)
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正四面體ABCD中,直線AB和平面BCD所成角的余弦值是___________.
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正四棱柱
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中,
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,
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,則異面直線
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與
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所成角的余弦值為( )
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科目:高中數(shù)學(xué)
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過正方體
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的頂點
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在空間作直線
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與
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和
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所成的角都等于
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,則這樣的直線
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可以作( )條.
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